I i: ll MATEEIALS FOR THE STUDY OP VAEIATION. MATERIALS FOR THE STUDY OF VARIATION TREATED WITH ESPECIAL REGARD TO DISCONTINUITY IX THE OKIGIN OF SPECIES. BY WILLIAM BATESON, M.A. FELLOW OF ST JOHN'S COLLEGE, CAMBRIDGE Pontoon : MACMILLAN AND CO. AND NEW YORK. 1»94 [All Iiiylitx reserved.] Cambridge : PRINTED BY C. J. CLAY, M.A., AND SONS, AT THE UNIVERSITY PRESS. PREFACE. THIS book is offered as a contribution to the study of the problem of Species. The reasons that have led to its production are as follows. Some years ago it was my fortune to be engaged in an investi- gation of the anatomy and development of Balanoglossus. At the close of that investigation it became necessary to analyze the meaning of the facts obtained, and especially to shew their bear- ing upon those questions of relationship and descent which modern morphology has attempted to answer. To this task I set myself as I best might, using the common methods of morphological argument and interpretation, and working all the facts into a scheme which should be as consistent as I could make it. But the value of this and of all such schemes, by which each form is duly ushered to its place, rests wholly on the hypothesis that the methods of argument are sound. Over it all hung the suspicion that they were not sound. This suspicion seemed at that time so strong that in preface to what I had to say I felt obliged to refer to it, and to state explicitly that the analysis was under- taken in pursuance of the current methods of morphological criticism, and without prejudging the question of possible or even probable error in those methods. Any one who has had to do such work must have felt the same thing. In these discussions we are continually stopped by such phrases as, " if such and such a variation then took place and was favourable/' or, " we may easily suppose circumstances in which such and such a variation if it occurred might be beneficial," and the like. The whole argument is based on such assumptions as these — assumptions which, were they found in the arguments of Paley or of Butler, we could not too scornfully ridicule. " If," say we with much circumlocution, " the course of Nature followed the VI PREFACE. lines we have suggested, then, in short, it did." That is the sum of our argument. Were we all agreed in our assumptions and as to the canons of interpretation, there might be some excuse, but we are not agreed. Out of the same facts of anatomy and development men of equal ability and repute have brought the most opposite conclusions. To take for instance the question of the ancestry of Chordata, the problem on which I was myself engaged, even if we neglect fanciful suggestions, there remain two wholly incompatible views as to the lines of Vertebrate descent, each well supported and upheld by many. From the same facts opposite conclusions are drawn. Facts of the same kind will take us no further. The issue turns not on the facts but on the assumptions. Surely we can do better than this. Need we waste more effort in these vain and sophistical disputes ? If facts of the old kind will not help, let us seek facts of a new kind. That the time has come for some new departure most naturalists are now I believe beginning to recognize. For the reasons set forth in the Introduction I suggest that for this new- start the Study of Variation offers the best chance. If we had before us the facts of Variation there would be a body of evidence to which in these matters of doubt we could appeal. We should no longer say " if Variation take place in such a way," or " if such a variation were possible ; " we should on the contrary be able to say " since Variation does, or at least may take place in such a way," " since such and such a Variation is possible," and we should be expected to quote a case or cases of such occurrence as an observed fact. To collect and codify the facts of Variation is, I submit, the first duty of the naturalist. This work should be undertaken if only to rid our science of that excessive burden of contradictory assumptions by which it is now oppressed. Whatever be our views of Descent, Variation is the common basis of them all. As the first step towards the systematic study of Variation we need a compact catalogue of the known facts, a list which shall contain as far as possible all cases of Variation observed. To carry out such a project in any completeness may be impossible ; but were the plan to find favour, there is I think no reason why in time a consider- able approach to completeness should not be made. PREFACE. Vll Difficulty has hitherto arisen from the fact that Variation is not studied for its own sake. Each observer has some other object in view, and we are fortunate if he is good enough to mention in passing the variations he has happened to see in following his own ends. From the nature of the case these observations must at first be sporadic, and, as each standing alone seems to have little value, in the end they are unheeded and lost. If there were any centi^al collection of facts to which such observations might from time to time be added, and thus brought into relation with cognate observations, their value would at once appear and be preserved. To make a nucleus for such a collection is the object of the present work. The subject treated in this first instalment has been chosen for the reasons given in the text. Reference to facts that could not be included in this section of the evidence has as far as possible been avoided, but occasionally such reference was necessary, especially in the Introduction. It was my original purpose to have published the facts with- out comment. This course would have been the most logical and the safest, but with hesitation it was decided to add something of the nature of analysis. I do this chiefly for two reasons. First, in starting a method one is almost compelled to shew the way in which it is to be applied. If it is hoped that others may interest themselves in the facts, it is necessary to shew how and why their interest is asked. In the old time the facts of Nature were beautiful in themselves and needed not the rouge of speculation to quicken their charm, but that was long ago, before Modern Science was born. Besides this, to avoid the taint of theory in morphology is impossible, however much it may be wished. The whole science is riddled with theory. Not a specimen can be described without the use of a terminology coloured by theory, implying the accept- ance of some one or other theory of homologies. If only to avoid misconception matters of theory must be spoken of. It seemed at first also that the meaning of the facts was so clear that all would read it alike ; but from opportunities that have occurred for the discussion of these matters I have found that it is not so, and reluctantly I have therefore made such com- ments as may serve to bring out the chief significance of the VI 11 PREFACE. phenomena, pointing out what they shew and what they do not shew, having regard always to deficiencies in the evidence. That this is a dangerous course I am aware. But in any discussion of a problem in the light of insufficient knowledge the real danger is not that a particular conclusion may be wrong, for that is a transient fault, but rather that the facts themselves may be so distorted as to be valueless to others when the conclusions that they were used to shew have been discarded. This danger I have sought indifferently to avoid by printing the facts as far as possible apart from all comment, knowing well how temporary the worth of these comments is likely to be. I have thus tried to avoid general statements and have kept the descriptions to particular cases, unless the number of similar cases is great and an inclusive description is enough. Each separate paragraph relating a fact has been as far as possible isolated and made to stand alone ; so that if any one may hereafter care to go on with the work he will be able to cut out the discarded comments and rearrange the facts in any order preferred, inserting new facts as they come to hand. Most of these facts are numbered for reference. The numbers are distrib- uted on no strict system, but are put in where likely to be useful. For almost every fact stated or mentioned one reference at least is given. When this is not the case the fact is either notorious, or else the result of my own observation. In collecting evidence I have freely used the collections of former writers, especially those of Geoffroy St Hilaire, Ahlfeld, and Wenzel Gruber, but unless the contrary is stated, each passage referred to has been seen in its original place. By this system I hope I have avoided evidence corrupted by repetition. Several well known conceptions, notably that of the presence of order in abnormality, first formulated by Isidore Geoffroy St Hilaire, have been developed and exhibited in their relation to recent views. The professed morphologist will note that many of the state- ments are made on authority unfamiliar to him. I have spared no pains to verify the facts wherever possible, and no case has been admitted without remark if there was reason to doubt its authen- ticity. So long as skilled zoologists continue to neglect all forms that are abnormal the student of Variation must turn to other sources. This neglect of the Study of Variation may be attributed in PREFACE. IX great measure to the unfortunate circumstance that Natural History has come to be used as a vehicle for elementary education, a purpose to which it is unsuited. From the conditions of the case when very large classes are brought together it becomes necessary that the instruction should be organized, scheduled, and reduced to diagram and system. Facts are valued in proportion as they lend themselves to such orderly treatment ; on the rest small store is set. By this method the pupil learns to think our schemes of Nature sufficient, turning for inspiration to books, and supposing that by following his primer he may master it all. In a specimen he sees what he has been told to see and no more, rarely learning the habit of spontaneous observation, the one lesson that the study of Natural History is best fitted to teach. Such a system reacts on the teacher. In time he comes to forget that the caricature of Nature shewn to his pupils is like no real thing. The perspective and atmosphere that belong to live nature confuse him no more. Two cases may be given in illustration. Few animals are dissected more often than the Crayfish and the Cockroach. Each of these frequently presents a striking departure from the normal (see Nos. 83 and 625) in external characters, but these variations have been long unheeded by pupil and by teacher ; for though Desmarest and Brisout published the facts so long ago as 1848, their observations failed to get that visa of the text-books without which no fact can travel far. It is especially strange that while few take much heed of the modes of Variation or of the visible facts of Descent, every one is interested in the causes of Variation and the nature of "Heredity," a subject of extreme and peculiar difficulty. In the absence of special knowledge these things are discussed with enthusiasm, even by the public at large. But if we are to make way with this problem special know- ledge is the first need. We must know what special evidence each group of animals and plants can give, and this specialists alone can tell us. It is therefore impossible for one person to make any adequate gathering of the facts. If it is to be done it must be done by many. At one time I thought that a number of persons might perhaps be induced thus to combine ; but though I hope hereafter some such organized collection may be made, it is perhaps necessary that the first trial should be single-handed. X PREFACE. As I have thus been obliged to speak of many things of which I have no proper knowledge each section must inevitably seem meagre to those who have made its subject their special study, and I fear that many mistakes must have been made. To any one who may be willing to help to set these errors right, I offer thanks in advance, " humbly acknowledging a work of such concern- ment unto truth did well deserve the conjunction of many heads." In the course of the work I have had help from so many that I cannot here give separate thanks to each. For valuable criticisms, given especially in connexion with the introductory pages, I am indebted to Mr F. Darwin, Dr C. S. Sherrington, Dr D. MacAlister, Mi \V. Heape, Mr G. F. Stout, Dr A. A. Kanthack and particularly to Mr J. J. Lister. I have to thank the authorities of the British Museum, of the Museum of the Royal College of Surgeons, of the Musee d'Histoire Naturelle in Paris, and of the Museums of Leyden, Oxford, Rouen, Newcastle-upon-Tyne, of the Ecole Veterinaire at Alfort, and of the Dental Hospital for the great kindness that they have shewn me in granting facilities for the study of their collections. In particular I must thank Mr Oldneld Thomas of the British Museum for much help and advice in con- nexion with the subject of Teeth. I am also greatly obliged to Messrs Godman and Salvin for opportunities of examining and drawing specimens in their collections. To many others who have been good enough to lend specimens or to advise in particular cases my obligations are acknowledged in the text, but I must especially express my gratitude to Dr Kraatz of Berlin, to Dr L. von Heyden of Frankfurt, and to M. H. Gadeau de Kerville of Rouen for the large numbers of valuable insects with which they entrusted me. My best thanks are due to Dr A. M. Norman for many useful si i -motions, for the loan of specimens and for the kindly interest he has taken in my work. My friend Mr H. H. Brindley has very kindly given me much assistance in determining and verifying several points that have arisen, and I am particularly indebted to him for permission to give an account of his very interesting and as yet unpublished observations on the variation and regeneration of the tarsus in Cockroaches. Through the help of Dr David Sharp I have been enabled to introduce much valuable evidence relating to Insects, a subject of PREFACE. XI which without his assistance I could scarcely have spoken. It is impossible for me adequately to express my obligation to Dr Sharp for his constant kindness, for the many suggestions he has given me, and for the generosity with which he has put his time and skill at my service. It is with especial pleasure that I take this opportunity of offering my thanks to Professor Alfred Newton for the encourage- ment and sympathy he has given me now for many years. As many of the subjects treated involve matters of interpret- ation it should be explicitly declared that though help has been given by so many, no responsibility for opinions attaches to anyone but myself unless the contrary is stated. The blocks for Figs. 18, 19, 25, 133, 161 and 185 (from Proc. Zool. Soc.) were very kindly given by the Zoological Society of London; that for Fig. 28 (from Trans. Path. Soc.) by the Pathological Society; and for Fig. 140 which is from the Descent of Man I am obliged to the kindness of Mr F. Darwin. Figs. 5 B, 5 C, and 77 were supplied by the proprietors of Newman's British Butterflies, and Figs. 5 A, 82 and 84 by the proprietors of the Entomologist. The sources of other figures are acknowledged under each. Those not thus acknowledged have been made from specimens or from my own drawings or models by Mr M. P. Parker, with the exception of a few specially drawn for me by Mr Edwin Wilson. The work was, as I have said, begun in the earnest hope that some may be led thereby to follow the serious study of Variation, and so make sure a base for the attack on the problems of Evolution. Those who reject the particular inferences, positive and negative, here drawn from that study, must not in haste reject the method, for that is right beyond all question. That the first result of the study is to bring confusion and vagueness into places where we had believed order established may to some be disappointing, but it is best we deceive ourselves no longer. That the problems of Natural History are not easy but very hard is a platitude in everybody's mouth. Yet in these days there are many who do not fear to speak of these things with certainty, with an ease and an assurance that in far simpler problems of chemistry or of physics would not be endured. For men of this stamp to solve difficulties may be easy, but to feel Xll PREFACE. difficulties is hard. Though the problem is nil unsolved and the old questions stand unanswered, there are those who have taken on themselves the responsibility of giving to the ignorant, as a gospel, in the name of Science, the rough guesses of yesterday that tomorrow should forget. Truly they have put a sword in the hand of a child. If the Study of Variation can serve no other end it may make us remember that we are still at the beginning, that the com- plexity of the problem of Specific Difference is hardly less now than it was when Darwin first shewed that Natural History is a problem and no vain riddle. On the first page 1 have set in all reverence the most solemn enuntiation of that problem that our language knows. The priest and the poet have tried to solve it, each in his turn, and have failed. If the naturalist is to succeed he must go very slowly, making good each step. He must be content to work with the simplest cases, getting from them such truths as he can, learning to value partial truth though he cheat no one into mistaking it for absolute or universal truth; remembering the greatness of his calling, and taking heed that after him will come Time, that "author of authors," whose inseparable property it is ever more and more to discover the truth, who will not be deprived of his due. ST JOHN'S COLLEGE, CAMISRILHIK. 29 December, 1893. CONTENTS. INTRODUCTION. SECT. PAGE 1. The Study of Variation 1 2. Alternative Methods 6 3. Continuity or Discontinuity of Variation 13 4. Symmetry and Meristic Repetition . 17 5. Meristic Variation and Substantive Variation 22 6. Meristic Repetition and Homology ....... 28 7. Meristic Repetition and Division 33 8. Discontinuity in Substantive Variation : Size 36 9. Discontinuity in Substantive Variation : Colour and Colour-Patterns . 42 10. Discontinuity in Substantive Variation : Miscellaneous Examples . 54 11. Discontinuity in Meristic Variation : Examples ..... 60 12. Parallel between Discontinuity of Sex and Discontinuity in Variation . 66 13. Suggestions as to the nature of Discontinuity in Variation ... 68 14. Some current conceptions of Biology in view of the Facts of Variation 75 1. Heredity. 2. Reversion. 3. Causes of Variation. 4. The Variability of "useless" Structures. 5. Adaptation. 6. Natural Selection. PART I. MERISTIC VARIATION. Linear Series 87—422 Radial Series 423—447 Bilateral Series 448—473 Secondary Symmetry and Duplicity . . 474 — 566 CHAPTER I. ARRANGEMENT OF EVIDENCE 83 CHAPTER II. SEGMENTS OF ARTHROPODA 91 XIV CONTEXTS. PAGE CHAPTER III. VERTEBRA AND RIBS . ... 102 CHAPTER IV. SPINAL NERVES . . .129 CHAPTER V. VARIATION IN ARTHROPODA 146 CHAPTER VI. CH.'ETOPODA, HIRUDIXEA AXD CESTODA . . 156 CHAPTER VII. BRANCHIAL OPENINGS OF CHORDATA AND STRUC- TURES IN CONNEXION WITH THEM . . . 171 1. Ascidians. 2. Cyclostomi. 3. Cervical Fistulas and Super- numerary Auricles in Mammals CHAPTER VIII. MAMM.-E . . . 181 CHAPTER IX. TEETH 195 Preliminary. Primates. Canidae. Felidit. Vivc-rrida?. Muste- liila?. Pinnipedia. Marsupialia. Selacbii. Radulas of Biiccimiin. CHAPTER X. TEETH— RECAPITULATION .... 265 CHAPTER XI. MISCELLANEOUS EXAMPLES 274 Scales. Kidneys; Eenal Arteries; Ureters. Tentacles and Eyes of Mollusca. Eyes of Insects. Wings of Insects. Horns of Sheep, Goats and Deer. Perforations of shell of Haliotis. CHAPTER XII. COLOUR-MARKINGS 288 Ocellar Markings. Simultaneity of Colour- Variation in Parts repeated in Linear Series (Larvae of Lepidoptera : Chitonidje) CHAPTER XIII. MINOR SYMMETRIES: DIGITS . . 311 CAT. Pp. 313—324. MAN AND APES. Pp. 324—360. Increase in number of digits, p. 324. Cases of Polydactylism associated with chaniie of Symmetry. A. Digits in one Successive Series, p. 326. B. Digits in two homologous groups forming '"Double-hands," p. 381. Complex cases, p. 338. Polydttctyliam not associated with chanije of Symmetry, p. 344. (1) A. Single extra digit external to minimus, p. 345. (1) B. Single extra digit in other positions, p. 349. (2) Duplication of single digits, p. 349. (3) Combinations of the foregoing, p. 352. (4) Irregular examples, p. 353. Keduction in number of phalanges, p. 355. Syndactylism, p. 356. Absence of digits and representation of two digits by one, p. 358. HORSE, pp. 360 — 373. Extra digits on separate metacarpal or meta- tarsal, p. 361. More than one digit borne by metacarpal III., p. 369. Intermediate cases, p. 371. ARTIODACTYLA, pp. 373 — 390. Polydactylism in Pecora, p. 373. Poly- dactylism in Pig, p. 381. Syndactylism in Artindactyla, p. 383. BIRDS, pp. 390—395. Possibly Continuous numerical Variation in digits : miscellaneous examples, pp. 395 — 398 (Chr our present purpose we cannot begin better than by stating it concisely. The forms of living things are diverse. They may neverthe- less be separated into Specific Groups or Species, the members of each such group being nearly alike:, while they are less like the members of any other Specific (Iroiip. [The Specific Groups may by their degrees of resemblance be arranged in Generic Groups and so on.] The individuals of each Specific Group, though alike, are not identical in form, but exhibit differences, and in these differences they may even more or less nearly approach the form characteristic of another Specific Group. It is true, besides, that in the case of many Specific Groups which have been separated from each other, intermediate forms are found which form a continuous series of gradations, passing inx-nsibly from the form characteristic of one Species to that characteristic of another. In such cases the distinction between the two groups for purposes of classification is not retained. The fact that in certain cases there are forms transitional between groups which are sufficiently different to have been thought to be distinct, is a very important fact which must not be lost sight of; but though now a good many such cases are known, it remains none the less true that at a given point of time, the forms of living things may be arranged in Specific Groups, and that between the immense majority of these there are no transitional forms. There are therefore between these Specific Groups differences which are Specific. No definition of a Specific Difference has been found, perhaps because these Differences are indefinite and hence not capable of definition. But the forms of living things, taken at a given moment, do nevertheless most certainly form a discontinuous series and not a continuous series. This is true of the world as we see it now, and there is no good reason for thinking that it has ever been otherwise. So much is being said of the mutability of species that this, which is the central fact of Natural History, is almost lost sight of, but if ever the problem is to be solved this fact must be boldly faced. There is nothing to be gained by shirking or trying to forget it. The existence, then, of Specific Differences is one of the characteristics of the forms of living things. This is no merely subjective conception, but an objective, tangible fact. This is the first part of the problem. -SECT, i.] INTRODUCTION. 3 In the next place, not only do Specific forms exist in Nature, but they exist in such a way as to tit the place in Nature in which they are placed ; that is to say, the Specific form which an •organism has, is adapted to the position which it fills. This again is a relative truth, for the adaptation is not absolute. These two facts constitute the problem : I. The forms of living things are various and, on the whole, are Discontinuous or Specific. II. The Specific forms, on the whole, jit the places they have to live in. How have these Discontinuous forms been brought into exist- ence, and how is it they are thus adapted ? This is the question the naturalist is to answer. To answer it completely he must find (1) The modes and (2) TJie causes by which these things have come to pass. Before considering the ways in which naturalists have tried to answer these questions, it is necessary to look at some other phenomena characteristic of Life. We have said that at a given moment, or point of time, the specific forms of living things com- pose a discontinuous series. The element of time thus intro- duced is of consequence, arid leads to important considerations. For the condition of the organized world is not a fixed condition, but changes from moment to moment, and that which can be pre- dicated of its condition at one moment may not at any other point of time be true. This process of change is brought about partly by progressive changes in the bodies of the individuals themselves, but chiefly by the constant succession of individuals, the parents dying, their offspring succeeding them. It is then a matter of observation that the offspring born of parents belonging to any one Specific Group do as a rule conform to that Specific Group themselves, and that the form of the body, the mechanisms and the instincts of the offspring, are on the whole similar to those which their parents had. But like most general assertions about living things this is true not absolutely but relatively only. For though on the whole the offspring is like the parent or parents, its form is perhaps never identical with theirs, but generally differs from it perceptibly and sometimes materially. To this pheno- menon, namely, the occurrence of differences between the structure, the instincts, or other elements which compose the mechanism of the offspring, and those which were proper to the parent, the name Variation has been given. We have seen above that the two leading facts respecting the forms of living things are first that they shew specific differen- tiation, and secondly that they are adapted. To these we may now add a third, that in the succession from parent to offspring there is, or may be, Variation. It is upon the fact of the exist- ence of this phenomenon of Variation that all inductive -theories of Evolution have been based. 1—2 4 A POSTULATE. [ISTROD. The suggestion which thus forms the common ground of these theories is this : — May not the Specific Differences between Species and Species have come about through and be compounded of the individual differences bet \\een pan-nt and offspring? May not Specific Differentiation have resulted from Individual Variation? This suggestion has been spoken of as the Doctrine of Common I )« -scent, for it asserts that there is between living things a community of descent. In what follows it will be assumed that this Doctrine of Descent is true. Jt should be admitted from the first that the truth of the doctrine has never been proved. There is never- theless a great balance of evidence in its favour, but it finds its support not so much in direct observation as in the difficulty of forming any alternative hypothesis. The Theory of Descent in- volves and asserts that all living things are genetically connected, and this principle is at least not contrary to observation ; while any alternative hypothesis involves the idea of Separate Creation which by common consent is now recognized as absurd. In favour i if i he Doctrine of Common Descent there is a balance of evidence: it is besides accepted by most naturalists ; lastly if it is not true \ve can get no further with the problem: but inasmuch as it is mi]>roven, it is right that we should explicitly recognize that it is in part an assumption, and that we have adopted it as a pos- tulate. The Doctrine of Descent being assumed, two chief solutions of the problem have been offered, both starting alike from thi* common ground. Let us now briefly consider each of them. A. Ldnniri'k's Solution. So many ambiguities and pitfalls are in the way of any who may try to re-state, in a few words, the theory propounded in the Philosophie Zoologique, that it is with great diffidence that the following account of it is given. Lamarck points out that living things can in some measure adapt themselves both structurally and physiologically to new circumstances, and that in certain cases the adaptability is present in a high degree. He suggests that by inheritance and perfection of such adaptations they may have become what they are, and that thus specific forms and mechanisms have been produced, as it were, by sheer force of circumstances. On this view it is assumed that to the demands made on it by the environment the organism makes an appropriate structural and physiological response; in other words, that there is in living things a certain tension, by \\hich they respond to environmental pressure and fit the place they are in, somewhat as a fluid fits a vessel. This is not, I think, a misrepresentation of Lamarck's theory. It amounts, in other words, to a proposal to regard organisms as machines which have the power of Adaptation as one of their fundamental and inherent qualities or attributes. SECT, i.] INTRODUCTION. 5 Without discussing this solution, we may note that it aims at being a complete solution of both (1) The existence and persistence of differing forms, (2) The fact that the differing forms are adapted to different conditions ; and (3) The causes of the Variation by which the diversity has occurred. B. Darwin's Solution. Darwin, without suggesting causes of Variation, points out that since (1) Variations occur — which they are known to do — and since (2) some of the variations are in the direction of adaptation and others are not — which is a necessity- it will result from the conditions of the Struggle for Existence that those better adapted will on the whole persist and the less adapted will on the whole be lost. In the result, therefore, there will be a diversity of forms, more or less adapted to the states in which they are placed, and this is very much the observed condition of living things. We may note that this solution does not aim at being a com- plete solution like Lamarck's, for as to the causes of Variation it makes no suggestion. The arguments by which these several solutions are supported, and the difficulties which are in the way of each, are so familiar that it would be unprofitable to detail them. On our present knowledge the matter is talked out. Those who are satisfied with either solution are likely to remain so. It may be remarked however that the observed cases of adap- tation occurring in the way demanded on Lamarck's theory are very few, and as time goes on this deficiency of facts begins to be .significant. Natural Selection on the other hand is obviously a : true cause,' at the least. In the way of both solutions there is one cardinal difficulty which in its most general form may be thus expressed. According to both theories, specific diversity of form is consequent upon diversity of environment, and diversity of environment is thus the ultimate measure of diversity of specific form. Here then we meet the difficulty that diverse environments often shade into each other insensibly and form a continuous series, whereas the Specific Forms of life which are subject to them on the whole form a Discontinuous Series. The immense significance of this difficulty will be made more apparent in the course of this work. The difficulty is here put generally. Particular instances have been repeatedly set forth. Temperature, altitude, depth of water, salinity, in fact most of the elements which make up the physical environment are continuous in their gradations, while, as a rule, the forms of life are discontinuous1. Besides this, forms which 1 It may be objected that to any organism the other organisms coexisting with it are as serious a factor of the environment as the strictly physical compouents; and that inasmuch as these coexisting organisms are discontinuous species, the G METHODS OF ATTACKING THE PROBLEM. [IXTIMI>. are apparently identical live under conditions which are apparently very different, while sp< cit- which though closely allied are con- stantly distinct are found under conditions which are apparently the same. If we would make these facts accord with the view that it is diversity of environment which is the measure of diversity of specific form, it is necessary to suppose either (1) that our estimate of similarity of forms, or of environment, is wholly untrustworthy, or else c2) that there is a wide are;i of environmental or structural divergence within which no sensible result is produced: that is to say, that, the relation between en- \ironmeiit and strueture is not finely adjusted. But either of these admissions is serious; for if we grant the former we abrogate the niiht of judgment, and are granting that our proposed solutions are mere hypotheses which we have no power to test, while if we admit the lat ter, we admit that environment cannot so far be either the directing cause or the limiting cause of Specific Differences, though the first is essential to Lamarck's Theory, and the second is demanded by the doctrine of Natural Selection. Such then, put very briefly, are the two great theories, and this is one of the chief difficulties which beset them. We must now pass to our proper work. \\V have to consider whether it is not possible to get beyond the present position and to penetrate further into this mystery of Specific Forms. The main obstacle being our own ignorance, the first question to be settled is what kind of knowledge would be of the most value, and which of the many unknowns may be determined with the greatest profit. To decide this we must return once more to the ground which is common to all the induc- tive theories of Evolution alike. Now all these different theories start from the hypothesis that the different forms of life are re- lated to each other, and that their diversity is due to Variation. On this hypothesis, therefore, Yariat ion, whatever may be its cause, and however it may be limited, is the essential phenomenon of Evolution. Variation, in fact, is Evolution. The readiest way, then, of solving the problem of Evolution is to study the facts of Variation. SECTION II. ALTERNATIVE METHODS. The Study of Variation is therefore suggested as the method which is on the whole more likely than any other to give us the kind of knowledge we are wanting. It should be tried not so much in the hope that it will give any great insight into those element of discontinuity may thus be introduced. This is true, but it does not help iu the attempt to find the cause of the original discontinuity of the coexisting organisms. SECT, ii.] INTRODUCTION. 7 relations of cause and effect of which Evolution is the expression, but merely as an empirical means of getting at the outward and visible phenomena which constitute Evolution. On the hypothesis of Common Descent, the forms of living things are succeeding each other, passing across the stage of the earth in a constant proces- sion. To find the laws of the succession it will be best for us to stand as it were aside and to watch the procession as it passes by. No amount of knowledge of individual forms will tell us the laws or even the manner of the succession, nor shall we be much helped by comparison of forms of whose descent we know nothing save by speculation. To study Variation it must be seen at the moment of its beginning. For comparison we require the parent and the varying offspring together. To find out the nature of the progres- sion we require, simultaneously, at least two consecutive terms of the progression. Evidence of this kind can be obtained in no other way than by the study of actual and contemporary cases of Varia- tion. To the solution of this question collateral methods of re- search will not contribute much. Since Darwin wrote, several of these collateral methods have been tried, and though a great deal has thus been done and a vast number of facts have been established, yet the advance towards a knowledge of the steps by which Evolution proceeds has been almost nothing. It will not perhaps be wandering unduly if we consider very shortly the reason of this, for the need for the Study of Variation will thereby be made more plain. Before the publication of the Origin of Species the work of naturalists was chiefly devoted to the indiscriminate accumulation of facts. By most the work was done for its own sake in the strict- est sense. In the minds of some there was of course a hope that the gathering of knowledge would at last lead on to something more, but this hope was for the most part formless and vague. With the promulgation of the Doctrine of Descent the whole course of the study was changed. The enthusiasm of naturalists ran altogether into new channels ; a new class of facts was sought and the value of Zoological discovery was judged by a new criterion. The change was thus a change of aim, and consequently a change of method. From a large field of possibilities the choice fell chiefly upon two methods, each having a definite relation to the main problem. The first of these is the Embryological Method, and the second may be spoken of as the Study of Adaptation. The pursuit of these two methods was the direct outcome of Darwin's work, and such great hopes have been set on them that before starting on a new line we shall do well to examine carefully their proper scope and see whither each of them may reasonably be expected to lead. It is besides in the examination of these methods and in ob- serving the exact point at which they have failed, that the need for the Study of Variation will become most evident. 8 THE EMBRYOLOG1CAL METHOD. [INTROD. When the Theory of Evolution first gained a hearing it became of the highe.-t importance tliat it should be put to some test which ^hmild shew whether it was true or not. In comparison with this all other i|iiestions sank into insignificance. Now. tin- principle which has been called the Law of von Baer. provided the means tor such a test. By this principle it is affirmed that the history of the individual represents the history of the Specie*. If then it should be found that organisms in their de- velopment pass through stages in which tiny re-emble other forms, this would be jirii/Ki facie a reason for believing them to be geneti- cally connected. The general truth of the Theory of Descent might thus be tested by the facts of development For this reason the St udy of Embryology superseded all others. It is now, of course, generally admitted that the Theory has stood this test, and that the facts of Embryology do support the Doctrine of Community of Descent. But the claims of Embryology did not stop here. In addition to the application of the method to the general Theory of Descent, it has been sought to apply the facts of Embryology to solve particular questions of the descent of particular forms. It has been maintained that if it is true that the history of the individual repeats the history of the Species, we may in the study of De- velopment see not only that the various forms are related, but also the exact lines of Descent of particular forms. In this way Embryology was to provide us with the history of Evolution. The survey of the development of animals from this point of view is now complete for most forms of life, and in all essential points; we are now therefore in a position to estimate its value. It will, I think, before long be admitted that in this attempt to extend the general proposition to particular questions of Descent the embryological method has failed. The reason for this is obvious. The principle of von Baer was never more than a rough approximation to the truth and was never suited to the solution of particular problems. It is curious to notice upon how very slight a basis of evidence this widely received principle really rests. It has been established almost entirely by inference and it has been demonstrated by actual observation in scared} a single instance. For the stages through which a fHirticiilur organism passes in the course of its development are admissible as evidence of its pedigree only when it shall ha\e been proved as a tantly necessary to make certain hypothe-ex us \,, the course of Variation in the pa-t, but before this can be done it is surely necessary that we should have some knowledge of the modes of Variation in the present. When we shall know something of the nature oi' the variations which are now occurring in animals and the stops by which they are now progressing before our eyes, we shall be m a position to surmise what their past has been; for we shall then know what changes are possible to them and what are not. In the absence of such knowledge, any person is at liberty to pos- tulate the occurrence of variations on any lines which may sii-^vst themselves to him, a liberty which has of late been freely used. Kmbryology has provided us with a magnificent body of facts, but the interpretation of the facts is still to seek. The other method which, since Darwin's work, has attracted nioM attention is the study of the mechanisms by which organisms are adapted to the conditions in which they live. This study of Adaptation and of the utility of structures exercises an extra- ordinary fascination over the minds of some and it is most tt important that its proper use and scope should be understood. We have seen that the Embryologies] Method owed its import- ance to its value as a mode of testing the truth of the Theory of Evolution: in the same way the Study of Adaptation was undertaken as a test of the Theory of Natural Selection. Amongst many classes of animals, complex structures are pre- sent which do not seem to contribute directly to the well-being of their possessors. By many it has been felt that the persistent occurrence of organs of this class is a difficulty, on the hypothesis that there is a tendency for useful structures to be retained and for useless parts to be lost. In consequence it has been antici- pated that sufficient research would reveal the manner in which these pails are directly useful. The amount of evidence collected with this object is now enormous, and most astonishing ingenuity has been evoked in the interpretation of it. A discussion of the truth of the conclusions thus put forward is of course apart from our present purpose, which is to examine the logical value of this method of research as a means of attacking the problem of Evo- lution. With regard to the results it has attained it must suffice to notice the fact that while the functions of many problematical organs have been conjectured, in some cases perhaps rightly, there remain whole groups of common phenomena of this kind, which are still almost untouched even by speculation, and structures and instincts are found in the best known forms, as to the "utility" of SECT. II.] INTRODUCTION. 1 1 which no one has made even a plausible surmise. All this is fa- miliar to every one and every one knows the various answers that have been made. It is not quite fair to judge such a method by the imperfection of its results, but in one respect the deficiency of results obtained by the Study of Adaptation is very striking, and though this has often been recognized it must be again and again insisted on as a thing to be kept always in view. The importance of this consider- ation will be seen when the evidence of Variation is examined. The Study of Adaptation ceases to help us at the exact point at which help is most needed. We are seeking for the cause of the differences between species and species, and it is precisely on the utility of Specific Differences that the students of Adaptation are silent. For, as Darwin and many others have often pointed out, the characters which visibly differentiate species are not as a rule capital facts in the constitution of vital organs, but more often they are just those features which seem to us useless and trivial, such as the patterns of scales, the details of sculpture on chitin or shells, differences in number of hairs or spines, differences between the sexual prehensile organs, and so forth. These differences are often complex and are strikingly constant, but their utility is in almost every case problematical. For example, many suggestions have been made as to the benefits which edible moths may derive from their protective coloration, and as to the reasons why unpalat- able butterflies in general are brightly coloured ; but as to the particular benefit which one dull moth enjoys as the result of his own particular pattern of dullness as compared with the closely similar pattern of the next species, no suggestion is made. Nevertheless these are exactly the real difficulties which beset the utilitarian view of the building up of Species. We knew all along that Species are approximately adapted to their circumstances ; but the diffi- culty is that whereas the differences in adaptation seem to us to be approximate, the differences between the structures of species are frequently precise. In the early days of the Theory of Natural Selection it was hoped that with searching the direct utility of such small differences would be found, but time has been running now and the hope is unfulfilled. Even as to the results which rank among the triumphant suc- cesses of this method of study there is need for great reserve. The adequacy of such evidence must necessarily be a matter for individual judgment, but in dealing with questions of Adaptation more than usual caution is needed. No disrespect is intended towards those who have sought to increase our acquaintance with these obscure phenomena : but since at the present time the con- clusions arrived at in this field are being allowed to pass unchal- lenged to a place among the traditional beliefs of Science, it is well to remember that the evidence for these beliefs is far from being of the nature of proof. 12 FUTILITY OF THIS METHOD. [INTROD. The ival objection however to the employment of the Study of Adaptation as a means ot discovering the processes of Involution is not that its results an- meagre ami its conclusions unsound. Apart from the doubtful diameter of these inferences, there is a difficulty of logic which in this method is inherent and insuperable. This difficulty lies in the fact that while it is generally possible to Buggesl -oinc way by which in circumstances, known or hypothe- tical, any given -structure may be uf use to any animal, it cannot on the other hand ever be possible to prove that such structures are not on the whole harmful either in a way indicated or otherwise. There is a special rea.-on why the impossibility of proving the negative applies with peculiar force to the mode of reasoning we are now considering. This is due to the fact that whereas the only possible test of the utility of a structure must be a quan- titative one, such a quantitative method of assessment is entirely beyond our powers and is likely to remain so indefinitely. The students of Adaptation forget that even on the strictest applica- tion of the theory of Selection it is unnecessary to suppose that every part an animal has, and every thing which it does, is useful and for its good. We, animals, live not only by virtue of, but also in spite of what we are. It is obvious from inspection that any instinct or any organ inn;/ be of use: the real question we have to consider is of hoiu much use it is. To know that the presence of a certain organ in/n/ lead to the preservation of a race is useless if we cannot tell how much preservation it can effect, how many indi- viduals it can save that would otherwise be lost; unless we know aUo the degree to which its presence is harmful ; unless, in fact, we know how its presence affects the profit and loss account of the organism. We have no right to consider the utility of a structure demonstrated, in the sense that we may use this demonstration as evidence? of the causes which have led to the existence of the struc- ture, until we have this quantitative knowledge of its utility and are able to set off against it the cost of the production of the structure and all the difficulties which its presence entails on the organism. No one who has ever tried to realize the complexity of the relations between an organism and its surroundings, the infinite variety of the consequences which every detail of structure and every shade of in-tinct mat/ entail upon the organism, the precision of the correla- tion between function and the need for it, and above all the mar- vellous accuracy with which the presence or absence of a power or a structure is often compensated among living beings — no one can reflect upon these things and be hopeful that our quantitative estimates of utility are likely to be correct. But in the absence of such correct and final estimates of utility, we must never use the utility of a structure as a point of departure in considering the manner of its origin; for though we can see that it is, or may be, useful, yet a little reflexion will shew that it is, or may be, harmful, but whether on the whole it is useful or on the whole harmful, SECT, in.] INTRODUCTION. 13 can only be guessed at. It thus happens that we can only get an indefinite knowledge of Adaptation, which for the purposes of our problem is not an advance beyond the original knowledge that organisms are all more or less adapted to their circumstances. No amount of evidence of the same kind will carry us beyond this point. Hence, though the Study of Adaptation will always remain a fascinating branch of Natural History, it is not and cannot be a means of directly solving the problem of the origin of Species. SECTION III. CONTINUITY OR DISCONTINUITY OF VARIATION. What is needed, then, is evidence of a new kind, for no amount of evidence of the kinds that have been mentioned will take us much beyond our present position. We need more know- ledge, not so much of the facts of anatomy or development, as of the principles of Evolution. The question to be considered is how such knowledge may be obtained. It is submitted that the Study of Variation gives us a chance, and perhaps the only one, of arriving at this knowledge. But though, as all will admit, a knowledge of Variation lies at the root of all biological progress, no organized attempt to obtain it has been made. The reason for this is not very clear, but it apparently proceeds chiefly from the belief that the subject is too difficult and complex to be a profitable field for study. However this may be, the fact remains, that since the first brief treatment of the matter in Animals and Plants under Domestication no serious effort to perceive or formulate principles of Variation has been made, and there is before us nothing but the most meagre and superficial account of a few of its phenomena. Darwin's first collection of the facts of Variation has scarcely been increased. These same facts have been arranged and rearranged by each successive interpreter ; the most various and contradictory pro- positions have been established upon them, and they have been strained to shew all that it can possibly be hoped that they will shew. Any one who cares to glance at the works of those who have followed Darwin in these fields may assure himself of this. So far, indeed, are the interpreters of Evolution from adding to this store of facts, that in their hands the original stock becomes even less until only the most striking remain. It is wearisome to watch the persistence with which these are revived for the purpose of each new theorist. How well we know the offspring of Lord Morton's mare, the bitch ' Sappho,' the Sebright Bantams, the Himalaya Rabbit with pink eyes, the white Cats with their blue eyes, and the rest ! Perhaps the time has come 14 THK I'lIYlJKiKNKTH SEKIES : [iNTROD. when even tin'-,,, splendid observations cannot be made to shew much more. Surely their use is n<.\v rather to point the direction in which we must go for more ta«-ts. The questions which by the Study of Variation we hope to answer may lie thus expressed. In alh'rming our belief in the doctrine of the Community of Descent of living things, we declare that we he|ie\e all living things to stand to each other in definite genetic relationships. If then all the individuals which have lived on the earth could be simultaneously before us, we believe that it would be possible to arrange them all, so that each stood in its own ordinal position in scries. \Ve believe that all the secondary series together make up one primary series from which each severally arises. This is the fundamental conception of Involution and is represented figuratively by the familiar image of a genealogical tree. If then all the individual ancestors of any given form were before us and were arranged in their order, we believe they would constitute a series. This view of the forms of organisms as constituting a series or progression is the central idea of modern biology, and must be borne continually in mind in the attempt to applv anv principle to the Studv of Evolution. Each individual and each type which exists at the present moment stands, for the moment, therefore, as the last term of such a series. The problem is to find the other terms. In the case of each type the question is thus stated in a particular form, and it is a somewhat remarkable circumstance that it is in its particular forms that this problem has been most studied. The same problem is nevertheless capable of being stated in the general form also. Instead of considering what has been the actual series from which a specified type has been derived, we may consider what are the characters and attributes of such series in general. It may indeed be contended that it is scarcely reason- able to expect to discover the line of descent of a given form, for the evidence is gone; but we may hope to find the general chararact eristics of Evolution, for Evolution, as we believe, is still in progress. It is re-ally a strange thing that so much enterprise and research should have been given to the task of reconstructing particular pedigrees — a work in which at best the facts must be eked out largely with speculation — while no one has ever seriously tried to determine the general characters of such a series. Yet if our modern conception of Descent is a right one, it is a pheno- menon now at this time occurring, which by common observations, without the use of any imagination whatever, we may now see. The chief object, then, with which we shall begin the Study of Variation will be the determination of the nature of the Series by which forms are evolved. The first questions that we shall seek to answer refer to the manner in which differentiation is introduced in these Series. SECT, in.] INTRODUCTION. 15 All we as yet know is the last term of the Series. By the postulate of Common Descent we take it that the first term differed widely from the last, which nevertheless is its lineal descendant : how then was the transition from the first term to the last term effected ? If the whole series were before us, should we find that this transition had been brought about by very minute and insensible differences between successive terms in the Series, or should we find distinct and palpable gaps in the Series ? In proportion as the transition from term to term is minimal and imperceptible we may speak of the Series as being Continuous, while in proportion as there appear in it lacunae, filled by no transitional lorm, we may describe it as Discontinuous. The several possibilities may be stated somewhat as follows. The -1 «/ Series may be wholly continuous ; on the other hand it may be sometimes continuous and sometimes discontinuous; we know how- ever by common knowledge that it is never wholly discontinuous. It may be that through long periods of the Series the differences between each member and its immediate predecessor and successor are impalpable, while at certain moments the series is interrupted by breaches of continuity which divide it into groups, of which the composing members are alike, though the successive groups are unlike. Lastly, discontinuity may occur in the evolution of par- ticular organs or particular instincts, while the changes in other structures and systems may be effected continuously. To decide which of these agrees most nearly with the observed phenomena of Variation is the first question which we hope, by the Study of Variation, to answer. The answer to this question is of vital con- sequence to progress in the Study of Life. The preliminary question, then, of the degree of continuity with which the process of Evolution occurs, has never been decided. In the absence of such a decision there has never- theless been a common assumption, either tacit or expressed, that the process is a continuous one. The immense consequence of a knowledge of the truth as to this will appear from a consideration of the gratuitous difficulties which have been introduced by this assumption. Chief among these is the difficulty which has been raised in connexion with the building up of new organs in their initial and imperfect stages, the mode of transformation of organs, and, generally, the Selection and perpetuation of minute variations. Assuming then that variations are minute, we are met by this familiar difficulty. We know that certain devices and mechanisms are useful to their possessors ; but from our knowledge of Natural History we are led to think that their usefulness is consequent on the degree of perfection in which they exist, and that if they were at all imperfect, they would not be useful. Now it is clear that in any continuous process of Evolution such stages of imperfection must occur, and the objection has been raised that Natural Selection cannot protect such imperfect mechanisms so as to lift 16 CONTINUOUS, OR DISCONTINUOUS? [INTROD. thorn into perfection. Of the objections which have been brought against the Theory <>f Natural Selection this is by tar the most serious. The same objection may be expressed in a form which is more correct and comprehensive. We have seen that the differences between Species on the whole are Specific, and are differences of kind, forming a discontinuous Series, while the diversities of en- vironment to which they are subject are on the whole differences of degree, and form a continuous Series; it is therefore hard to see how the environmental differences can thus be in any sense the directing cause of Specific differences, which by the Theory of Natural Selection they should be. This objection of course in- cludes that of the utility of minimal Variations Now the strength of this objection lies wholly in the sup- posed continuity of the process of Variation. We see all organ- ized nature arranged in a discontinuous series of groups differing from each other by differences which are Specific; on the other hand we see the divers environments to which these forms are subject passing insensibly into each other. We must admit, then, that if the steps by which the divers forms of life have varied from each other have been insensible — if -in fact the forms ever made up a continuous series — these forms cannot have been broken into a discontinuous series of groups by a continuous en- vironment, whether acting directly as Lamarck would have, or as selective agent as Darwin would have. This supposition has been generally made and admitted, but in the absence of evidence as to Variation it is nevertheless a gratuitous assumption, and as a matter of fact when the evidence as to Variation is studied, it will be found to be in great measure unfounded. In what follows so much \\ill be said of discontinuity in Varia- tion that it will not be amiss to speak of the reasons which have led many to suppose that the continuity of Variation needs no proof. Of these reasons there are especially two. First there is in the minds of some persons an inherent conviction that all natural processes are continuous. That many of them do not appear so is admitted: it is admitted, for example, that among chemical processes Discontinuity is the rule; that changes in the states of matter are commonly effected discontinuously, and the like. Nevertheless it is believed that such outward and visible Discontinuity is but a semblance or mask which conceals a real process which is continuous and which by more searching may be found. With this class of objections we are not perhaps con- cerned, but they are felt by so many that their existence must not be forgotten. Secondly, Variation has been supposed to be always continuous and to proceed by minute steps because changes of this kind are so common in Variation. Hence it has been inferred that the mode of Variation thus commonly observed is universal. That this inference is a wrong one, the facts will shew. SECT, iv.] INTRODUCTION. 17 To sum up : The first question which the Study of Variation may be ex- pected to answer, relates to the origin of that Discontinuity of which Species is the objective expression. Such Discontinuity is not in the environment ; may it not, then, be in the living thing itself? The Study of Variation thus offers a means whereby we may hope to see the processes of Evolution. We know much of what these processes may be : the deductive method has been tried, with what success we know. It is time now to try if these things cannot be seen as they are, and this is what Variation may shew us. In Variation we look to see Evolution rolling out before our eyes. In this we may fail wholly and must fail largely, but it is still the best chance left. SECTION IV. SYMMETRY AND MERISTIC REPETITION. Having thus indicated some of the objects which we may hope to reach by the Study of Variation, we have next to consider the way in which to set about this study. The Study of Variation is essentially a study of differences between organisms, so for each observation of Variation at least two substantive organisms are required for comparison. It is proposed to confine the present treatment of the subject to a consideration of the integral steps by which Variation may pro- ceed ; hence it is desirable that the two organisms compared should be parent and offspring, and if, as is often the case, the actual parent is unknown, it is at least necessary that the normal form of the species should be known and that there must be reasonable evidence that the varying offspring is actually de- scended from such a normal. For this reason, evidence from a com- parison of Local Races, and other established Varieties, though a very valuable part of the Study, will for the most part not be here introduced. For the belief that such races are descended from the putative normal scarcely ever rests on proof, and still more rarely is there evidence of the number of generations in which the change has been effected. For our purpose we require actual cases of Variations occurring as far as possible in offspring of known parentage ; and if, failing this, we make use of cases occurring in the midst of normal indi- viduals of known structure, it must in such cases be always remembered that we cannot properly assume that the varying form is the offspring of such individuals, though special reasons may make this likely in special cases. Since the structure of the offspring is perhaps in no case B. 2 18 HETEROGENEITY. [INTROD. identical with that of the parent, observation of any parent and its offspring is to the point; but such a field as this is plainly too wide to be studied with profit as a whole, and it is necessary from the first, that attention should be limited to certain classes of such phenomena. With this object certain limitations are proposed, and though confessedly arbitrary, they will be found on the whole to work well. The first limitation thus introduced concerns the magnitude of Variations. We have seen above that the assumption that Variation is a continuous process lands us in serious difficulties in the application of a hypothesis which, on general grounds, we nevertheless are prepared to receive. If then we can shew- that Variation is to some extent discontinuous, a road will be opened by which these difficulties may perhaps be in part avoided. Species are discontinuous ; may not the Variation by which Species are produced be discontinuous too ? It may be stated at once that evidence of such Discontinuous Variation does exist, and in this first consideration of the subject attention will be con- fined to it. The fact that Continuous Variation exists is also none the less a fact, but it is most important that the two classes of phenomena should be recognized as distinct, for there is reason to think that they are distinct essentially, and that though both may occur simultaneously and in conjunction, yet they are manifesta- tions of distinct processes. The attempt to distinguish these two kinds of Variation from each other constitutes one of the chief parts of the study. It will not perhaps be possible to find any general expression which shall accurately differentiate between Variations which are Discontinuous and those which are Con- tinuous, but it is possible to recognize attributes proper to each and to distinguish changes which are or may be effected in the one way from other changes which are or may be effected in the other. For the present we shall treat only of the evidence of Dis- continuous Variation. In order to explain the second limitation which is to be intro- duced it is necessary to refer to some phenomena which are characteristic of the forms of organisms, and to separate from them the group with which we shall deal first. It was stated above that perhaps no character of form is common to all living things, but nevertheless there is one feature which is found in the great majority. In the first place, the bodies of organisms are not homo- geneous but heterogeneous, consisting of organs or parts which in substance and composition differ from each other. This heterogeneity in composition is of course an objective expression of the process of Differentiation, and it is further recognized that such structural heterogeneity of material corresponds with a physiological Differentiation of function. This Differentiation SECT, iv.] INTRODUCTION. 19 or Heterogeneity is found in the bodies of all organisms, even in the simplest. Now in a wide survey of the forms of living things there is n fact with regard to the presence of this Heterogeneity which to the purpose of our present consideration is of the highest con- sequence. This may perhaps be best expressed by the state- ment that in the bodies of living things Heterogeneity is generally orderly and formal ; it is cosmic, not chaotic. Not only are the bodies of all organisms heterogeneous, but in the great majority the Heterogeneity occurs in a particular way and according to geometrical rule. This character is not peculiar to a few organisms, but is common to nearly all. We will now examine this phenomenon of geometrical order in Heterogeneity and try to see some of the elements of which it is made up. Order of form will first be found to appear in the fact that in any living body the Heterogeneity is in some degree symmetri- cally distributed around one or more centres. In the great majority of instances these centres of symmetry are themselves distributed about other centres, so that in one or more planes the whole body is symmetrical. The idea of Symmetry which is here introduced is so familiar that it is scarcely necessary to define it, but as all that follows depends entirely on the proper apprehension of what is meant by Symmetry it may be well to call attention to some of the phenomena which the term denotes. In its simplest form the Symmetry of a figure depends on the fact that from some point within it at least two lines may be taken in such a way that each passes through parts which are similar and similarly disposed. The point from which the lines are taken may be called a centre of Symmetry and the lines may be called lines of Symmetrical Repetition. Commonly the parts thus symmetrically disposed are related to each other as optical images [in a plane mirror passing through the centre of Symmetry and standing in a plane bisecting the angle which the lines of Symmetrical Repetition make with each other]. For a figure to be symmetrical, in the ordinary sense of the term, it is not necessary that the relation of optical images should strictly exist, and several figures, such as spirals, &c., are accordingly described as symmetrical. But since the relation of images exists in all cases of bilateral and radial symmetry, which are the forms most generally assumed in the symmetry of organ- isms, it is of importance to refer particularly to this as one of the phenomena often associated with Symmetry. In the simplest possible case of Symmetry there is a series of parts in one direction corresponding to a series of parts in another direction. Perhaps there is no organism in which such an arrangement does not at some time and in some degree exist. For even in an unsegmented ovum or a resting Amoeba there is 20 MERISTIC REPETITION. [INTROD. little doubt that Symmetry is present, though owing to the slight degree of Differentiation, its presence may not be clearly perceived. In tin- manifestations, however, in which it is most familiar, Symmetry is a decided and obvious phenomenon. Symmetry then depends essentially on the fact that structures found in one part of an organ i>m are repeated and occur again in another part of the same organism. Symmetrical Heterogeneity may therefore be present in a spherical body having a core of different material, and it is possible that in an unsegmented mum for example a Symmetry of this simple kind may exist. But Symmetry, as it is generally seen in organisms, differs from that of these simplest cases in the fact that the organs repeated are separated from each other by material of a nature different from that of the organs separated. Repetitions of this kind are known in almost every group of animals and plants. The parts thus separated may belong to any system of organs. There is no known limit to the number of Repetitions that may occur. This phenomenon of Repetition of Parts, generally occurring in such a way as to form a Symmetry or Pattern, comes near to being a universal character of the bodies of living things. It will in cases which follow be often convenient to employ a single term to denote this phenomenon wherever and however occurring. For this purpose the term Merism will be used. The introduc- tion of a new term is, as a practice, hardly to be justified; but in a case like the present, in which it is sought to associate divers phenomena which are commonly treated as distinct, the employ- ment of a single word, though a new one, is the readiest way of giving emphasis to the essential unity of the phenomena comprised. The existence of patterns in organisms is thus a central fact of morphology, and their presence is one of the most familiar characters of living things. Anyone who has ever collected fossils, or indeed animals or plants of any kind, knows how in hunting, the eye is caught by the formal regularity of an organized being, which, contrasting with the irregularity of the ground, is often the first indication of its presence. Though of course not diagnostic of living things, the presence of patterns is one of their most general characters. On examining more closely into the constitution of Repetitions, tliev may be seen to occur in two ways; first, by Differentiation within the limits of a single cell, as in the Hadiolaria, the sculpture of egg-shells, nuclear spindles, &c., to take marked cases; and secondly, by, or in conjunction with, the process of Cell- Division. The Symmetry which is found in the Serial Repetitions of Parts in unicellular organisms does not in all probability differ essentially from that which is produced by Cell-Division, for, though suffi- ciently distinct in outward appearance, the two are almost cer- tainly manifestations of the same power. SECT, iv.] INTRODUCTION. 21 Such patterns may exist in single cells or in groups of cells, in separate organs or in groups of organs, in solitary forms or in colonies and groups of forms. Patterns which are completed in the several organs or parts will be referred to as Minor Symmetries. These may be compounded together into one single pattern, which includes the whole body : such a symmetry will be called a Major Symmetry. In most organisms, whether colonial or solitary, there is such a Major Symmetry ; on the other hand organisms are known in which each system of Minor Symmetry is, at least in appearance, distinct and without any visible geometrical relation to the other Minor Symmetries. Examples of this kind are not common, for, as a rule, the planes about which each Minor Symmetry is developed have definite geometrical relations to those of the other Minor Symmetries. It is possible, even, that in some if not all of these, the planes of division by which the tissues composing each system of Minor Symmetry are originally split off and differeTitiated, have such definite relations, though by sub- sequent irregularities of growth and movement these relations are afterwards obscured. The classification of Symmetry and Pattern need not now be further pursued. The matter will be often referred to in the course of this work, when facts concerning Variations in number and patterns are being given, for it is by study of Variations in pattern and in repetition of parts that glimpses of the essential phenomena of Symmetry may be gained. That which is important at this stage is to note the almost universal presence of Symmetry and of Repetition of Parts among living things. Both are the almost invariable companions of division rt of .Y'//r/.s-\//\. ( )n the other hand manv Narcissi, \. corbularia^ t'»r example, are known in two colours, one a dark yellow ami the other ;i sulphur-yellow, though the number of parts and pattern of the flowers are identical. This is, therefore, an example of a Sub- stantive Variation. Again, the foot of a Pig may, through Meristic Variation, be divided into five or six toes instead of into four ; or, on the other hand, the number may, by absence of the median division between the digits III and IV, be reduced to three, though the tissues composing the toes may not in structure differ from the normal. Again, the tarsus of a Cockroach (Blatta) may, through Me- ristic Variation, be divided into only four joints instead of into five, the normal number, but the joints are still in substance or quality those of a Cockroach. I am aware that Meristic and Substantive Variations often occur together, and that there is a point at which it is not possible to separate satisfactorily the changes which have come about by the one process from those which have come about by the other. Instances of this kind occur especially in the case of series of parts such as Teeth or Vertebra?, in which individual members or groups of members of the series arc differentiated from the others. For example, we may see that it is through Meristic Variation that the vertebral column of a Dog may be divided into a number of Vertebra? greater or less than the normal ; and though in such cases all the Vertebra? have distinctively canine characters, yet there are nearly always Substantive Variations occurring in correlation with the Meristic Variations, manifesting themselves in a re-arrangement of the points of division between the several groups of Vertebrae, and causing individual Vertebrae to assume characters which are not proper to their ordinal positions. Further inquiry into the questions thus raised cannot at this stage be profitably undertaken, though when the evidence has been considered it will perhaps be advisable to recur to them ; all that is now intended is to indicate broadly the general scope of Meristic and Substantive Variation respectively. As has already been stated, it is proposed to begin the Study of Variation by an examination of Variations which are Meristic, leaving the consideration of Substantive Variation to be under- taken hereafter. But nevertheless in the consideration of Meristic Variation it will be necessary to refer to phenomena of Substantive Variation in so far as their occurrence or distribution in the body arc affected by Meristic phenomena. For in the determination of the magnitude of the integral steps by which Variation proceeds, the existence of Merism plays a conspicuous part, and it is in con- SECT, v.] INTRODUCTION. 25 sequence of this that the subject of Symmetry and Repetition of Parts has a second and indirect bearing on the Study of Variation which is scarcely less important than the direct bearing of which mention has been made above. This indirect bearing on the manner of origin of Specific Differences arises from a circumstance which in treatises on Evolution is commonly overlooked. In comparing a species in which parts are repeated, with an allied species in which the same parts are repeated, it commonly occurs that each of the repeated parts of the one have some character by which they are dis- tinguished from the like parts of the other. This differentiating character may be a qualitative one, or a numerical one, or both. In such cases it very frequently happens that this character occurs in each member of the series of Repetitions. For example, the tarsi of the Weevils have only four visible joints, while those of the majority of beetles have five ; but the characteristic division into four joints occurs in each of the legs. Before the four-jointed character as seen in the Weevils could be produced it was necessary that not one but all of the legs should vary from the five-jointed form, and in this particular way. The leaves on a beech tree are all beech leaves, and if the tree is a fern-leaved beech, they may, and generally speaking do, all shew the charac- ters of that variety ; and so on with other particular species and varieties. The limbs of a bilaterally symmetrical animal, in which the right side is the image of the left, are of course alike, and any specific character which is present in the limbs of the one side must in such an animal be normally present in those of the other side. The same is true of many forms in which appendages are repeated in series, as for example, the fore-legs and hind-legs of the Horse, the fore- and hind-wings of the Brimstone Butterfly (Gonepteryx rhamni); of the patterns on several segments of many caterpillars ; of the patterns of the segmental set® of many worms, and so forth. In series whose members are differentiated from each other, it of course frequently happens that the same specific characters are not present in all the members of the series, and in nearly all such cases these characters are not presented by all in equal degree ; nevertheless substantially the phenomenon remains that similar characters often are presented by the several members of a series of repeated organs. To many this will seem little better than a truism, neverthe- less I offer no apology for its introduction ; for though, as a common and obvious fact, it is a truism, it is besides a truth, the far-reaching significance of which is scarcely appreciated. For, in the consideration of the magnitude of the integral steps by which Variation proceeds, we shall have this to remember : that to produce any of the forms of which we have spoken, by Variation 2G SIMILAR VARIATION OF PARTS IN SERIES. [IXTROD. from another form, it is not enough that the particular Variation should occur and become fixed in one member of the series, but it is necessary that the character should sooner or later be taken on by each member of the series which exhibits it. In such cases therefore, this question is raised. Did the Variation come in h'r>t in one member of the Series and then in another? Did it occur, for example, simultaneously on the two sides of the body? Did the right and left fore- legs of the Horse cease to develop more than the present number of digits simultaneously or separately? \Vas the similar form of the hind-legs assumed before, after, or simultaneously with that of the fore-legs ? Were the orange markings which are present on both fore- and hind- wings of the Brimstone, or the ocellar markings of the Peacock (V. Iu), and of tin- Knqteror (Saturnia carpini), assumed by both wings at once? Were the four wings of the Plume Moths split simultaneously into the characteristic " plumes " ? Did the brown spots on the three leaflets of Medicago, the fimbriation of the petals of Ragged Robin (Lychnis flos-cuculi}, the series of stripes on the Zebra, the pink slashes on the segments of Sphinx larvae, the eyes on the sent* - of Chitons, and the thousand other colour-marks, sense-organs, appendages and structural features, which throughout organized Nature occur in Series, vary to their present state of similarity by similar and simultaneous steps, or did each member of such Series take these characters by steps which were separate and occurring independently? To this question, which lies at the root of all progress in the knowledge of Evolution, the Study of Variation can alone reply. That in the facts which follow, the answer to this question will be found, cannot of course be said ; but these facts, few though they are, do nevertheless answer it in part, and they suggest that more facts of the same kind would go far towards answering it completely. But beyond this, the facts are of value as an indication of the part which the phenomenon of Merism may play in determining the magnitude of Variations and the manner of their distribution among the several parts of the body. On examining the evidence it will be found that between parts related to each other in the way that has been described, there is a certain bond or kinship, by virtue of which they may and often do vary simultaneously and in similar ways, though the fact that they may also vary independently, and in different ways, will of course also appear. The phenomenon of the Similar Variation of parts which are repeated Meristically in Series is a fact which will be found to have important bearings on several distinct departments of biological study. As was shewn above, it is by recognition of the existence of such similar and simultaneous Variation that the manner of origin of the similar complexity of several organs belonging to the same system or series becomes comparatively comprehensible ; for SECT, v.] INTRODUCTION. 27 it is not then necessary to conceive a separate origin for the com- plexity of each member of the series. For example, it is difficult to conceive the manner of evolution of an eye of a vertebrate ; nevertheless, for each vertebrate two eyes have been evolved. If it were necessary to suppose that each arose by separate selections of separate variations, the difficulty would be thus doubled. If, however, it is recognized that the complexity of both arose simul- taneously, the phenomenon becomes the more intelligible as the number of integral variations and selections demanded is reduced. The case chosen, of paired organs in bilateral symmetry, is a very simple one, but it will be found that similar relations hold between other parts repeated in series. For in the same way it is not necessary to suppose an independent evolution for each of the tail-feathers of the Peacock, for the legs of the Horse, and the like, since in the light of the facts of Variation it is as easy for all to take on the new characters as for one. If the manner of development of Repeated Parts is considered, this fact will not seem surprising. For all these parts arise from the undifferentiated tissues by a process of Division, and what- ever characters were potentially present in the undifferentiated tissues may appear in the parts into which it subsequently divides. A somewhat loose illustration will perhaps make this more clear. Everyone knows the rows of figures which children cut out from folded paper. There are as many figures as folds, each figure being alike if the folds coincide. If the paper is pink, all the figures are pink ; if the paper is white, all the figures are white, and so on. If blotting-paper is used, and one blot is dropped on the folded edges, the blot appears symmetrically in all the figures. So also any deviation in the lines of cutting appear in all the figures ; a whole row of soldiers in bearskins may be put into helmets by one stroke of the scissors. Of course it is not meant to suggest that the process of division by which parts of the body are pro- duced bears any resemblance to that by which the figures are cut out, but merely to illustrate the fact that since it is by a process of Division of an undifferentiated mass that the Repeated Parts are produced, so the characters of these Repeated Parts depend upon the characters which were present in the original mass and upon the modes by which the parts were divided out from it. Summary of Sections I to V. At this point it will be well briefly to recapitulate the pre- ceding Sections. We are proposing to attack the problem of Species by studying the facts of Variation. Of the facts of Variation in general we have selected a particular group upon which to begin this study. The group of variations thus chosen are those which relate to Number of parts, Division, Repetition, and the other phenomena which are 28 METAMERIC SEGMENTATION. [IXTROD. to be included under the term Meristic. With variations in quality and Si distance it is not at present proposed to deal, except in so far as it is necessary to refer to them in their relation to the phenomena of Merism, and in illustration of the structural possi- bilities or necessities which in the body follow as corollaries upon the existence of Meristic Repetition. It has also been proposed to limit the consideration to Varia- tions which are Discontinuous. As has been already stated, Dis- continuous Variations may belong to the Meristic Group or to the Substantive, but it is to the former that attention will first be directed. SECTION VI. MERISTIC REPETITION AND HOMOLOGY. In what has gone before, the two conceptions now introduced, namely the distinction of Variations into Meristic and Substan- tive, and iuto Continuous and Discontinuous, have been sketched in outline. The significance of the facts which follow will be made, more evident if these two conceptions are now more fully developed in some of their aspects. Under the name Merism I have proposed to include all pheno- mena of Repetition and Division, whenever found and in whatever forms occurring, whether in the parts of a body or in the whole. The consequences of the admission of this proposition are con- siderable and should be fully realized; for on recognition of the unity of these phenomena it is possible to group together a number of facts whose association will lead to simplification of some morphological conceptions, and to other results of utility. That the phenomena of Merism form a natural group is in some respects a familiar idea, but in its fullest expression it is as yet not generally received, still less have the consequences which it entails been properly appreciated. Every one who has gone even a little way into morphological inquiry has met some of the difficulties to which we shall now refer. It is with respect to the phenomena of Segmentation that these difficulties are most familiar, and it is in this connexion that. they may be best discussed. Segmentation is a condition which reaches its highest development iii Vertebrates, ih,. Annelids, and the Arthropods, and it is in these groups that it has been most studied. In them it appears as a more or less coincident Repetition of elements belonging to most of the chief systems of organs along an axis corresponding to the long axis of the body. To segmentation of this kind the name 'Metameric' has been given, and by many morphologists the attempt has been made, either tacitly or in words, to separate such Metameric Segmen- t at ion from other phenomena of Repetition elsewhere occurring. SECT, vi.] INTRODUCTION. 29 It has thus been attempted to distinguish the Repetitions which occur along the long axis of the body from those occurring along the long axis of appendages, such as for example the joints of antennae or of digits, and some have even gone so far as to regard the Segmentation of the Vertebrate tail as a thing different in kind from that of the trunk itself. It would be apart from our present purpose to recur to these subjects, were it not that this suggestion of the existence of a difference in kind between Meta- meric Segmentation and other Repetitions has led to several notable errors in the interpretation of the facts of morphology and in the application of these facts to the solution of the problems of Descent. In order to lay a sound foundation for the study of Meristic Variation these errors must be cleared away, and to do this it is necessary to break down the artificial distinction between the phenomena of Metameric Segmentation and other cases of Repetition of Parts, so that the whole may be seen in their true relations to each other. When this is done, the mutual relations of the facts of Meristic Variation will also become more evident. The first difficulty which has been brought into morphology by the suggestion that Metameric Segmentation is a phenomenon distinct in kind, is one which has coloured nearly all reasoning from the facts of Morphology to problems of phylogeny. For the existence of Metameric Segmentation in any given form is thus taken to be one of its chief characters, and, as such, is allowed pre- dominant weight in considering the genetic relations of these forms. By the indiscriminate though logical extension of this principle the conclusion has been reached that Vertebrates are immediately connected with, or have arisen by Descent from Annelids, or from Crustacea and the like, for the Repetition in these forms is closely similar. Others again, being struck with the resemblance between the Repetition of Parts along the radial axes of Starfishes and those which occur along the long axes of Annelids have hazarded the conjecture that perhaps this resem- blance may indicate the actual phylogenetic history of these Repetitions. Though such speculations as these are little better than travesties of legitimate theory, some of them still command interest if not belief.1 All alike are founded on the assumption that resemblances between the manner and degree in which Repe- tition occurs are unlikely to have arisen save by community of Descent. A broader view of Meristic phenomena will shew that 1 These modern "Instances" recall many that once were famous but are now forgotten. For example : Item non absurda cat shnilitudo et conformitas illn, ut homo sit tanquam planta inversa. Nam radix nerronim et facilitation inuiiialiiim est caput ; partes aitteni seminales xtntt ivftnue, non computatis cxtreinitatibiig tibi- arum et brachiorum. At in plaiita, radix (qua .ins tar capitis est) rci/nluriter iiifuiiu loco collocatur ; semina aittem supremo. BACON, Nov. Org. Lib. n. 27. In non computatis extremitatibus, amateurs of INSTANTI.E CONFOEMES may still find matter for warning. 30 HOMOLOGY. [IXTROD. this assumption is unfounded; torso far are the expressions of it which are called Metamerism from standing alone, that it is almost impossible to look at any animal or vegetable form without meeting phenomena of Repetition which differ from Metamerism onlv in degree or in extent. Between these Repetitions and Metameric Repetitions it is impossible to draw any line, and the Variations of all will therefore be treated together. This error in the estimate of the value of Metamerism as a guide to phylogeny is one by which the evidence of Variation is only indirectly affected. The other errors now to be mentioned are of a much more serious nature, for they concern the general conception of the nature of Homology which is the basis of all morphological study. In introducing the method of the Study of Variation I have said that it can alone supply a solid foundation for inquiry into the manner by which one species arises from another. The facts of Variation must therefore be the test of phylogenetic possibility. Looking at organs instead of species, we shall now see that the facts of Variation must also be the test of the way in which organ arises from organ, and that thus Variation is the test of Homo- logy. For the statement that an organ of one form is homologous with an organ of another means that there is between the two some connexion of Descent, and that the one organ has been formed by modification of the other, or both by modification of a third. The precise way in which this connexion exists is not defined, and indeed has scarcely ever been considered, though such a consideration must sooner or later be attempted. We must for the present be content with the belief that in some un- defined way there is a relationship between ' homologous ' parts, and that this is what we mean when we affirm that they are homologous. We have however assumed that the transition from one form to another takes place by Variation. If therefore we can see the variations we shall see the precise mode by which the descent is effected, and this must be true of the parts or organs as it is true of the whole body. In like manner then as the Study of Variation may be hoped to shew the way by which one form passes into another, so also may it be hoped that it will shew how the organs of one form take on the shape of the homologous organs of another. In the absence of the evidence of Variation reasoning as to Homology rests solely on conjecture, and assumptions have thus been made respecting the nature of Homology which have coloured the whole of morphological study. Of these, two demand attention now. I. As to Homology between the Members of one Series. We saw above (page 29) how the resemblance between Repetitions SECT, vi.] INTRODUCTION. 31 occurring in divers forms has led to the belief that those forms had a common descent : in a somewhat similar way it has hap- pened that the resemblance between individual members of a series of Repeated Parts has led to the belief that they must originally have been alike, and that they have been formed by differentiation of members originally similar. Many who would hesitate thus to formulate such a belief nevertheless have taken part in inquiries which can succeed only on the hypothesis that this has been the history of such parts. Of this nature are the old attempts to divide the skull into vertebrae, recognizing the several parts of each ; the modern disquisitions on the segmenta- tion of the cranial nerves ; the attempts to homologize the several phalanges of the vertebrate pollex and hallux with the several phalanges of the other digits ; similar attempts to trace the precise equivalence of the elements of the carpus and tarsus, and many other quests of a like nature. In all these it is assumed that there is a precise equivalence to be found with enough searching, and that all the members of such series of Repetitions were originally alike. If the series of ancestors were before us it is expected that this would be seen to have been the case. In the light of the facts of Variation this assumption will be seen to be a wrong one, and these simple views of the Repetition and Differen- tiation of members in Series must be given up as inadequate and misleading, even though there be no other to substitute. II. As to the individuality of Members of Series. In seeking to homologize a series of parts in one form with a series of parts in another, cases often occur in which the whole series of the one is admittedly homologous with the whole series of the other. In such cases the question arises, can the principle of Homology be extended to the individual members of the two Series ? If the two Series each contain the same number of members this question is a comparatively simple one, for it may be assumed that each member of the Series is the equivalent or Homologue of the member which in the other Series occupies the same ordinal position. If however the number of members differs in the two Series, how is the equivalence to be apportioned ? This is a question again and again arising with regard to Meristic Series such as teeth, digits, phalanges, vertebra?, nerves, vessels, mammae, colour-markings, the parts of the flower, and indeed in almost every system whether of animals or plants. To decide this question there are still no general principles. But though we yet know nothing as to the steps by which Meristic Variation proceeds, there is nevertheless a received view by which the interpretation of the phenomena is attempted, and though in the case of each system of organs the application of the principle is different, yet the principle applied is essentially the same. Thus to compare the members of Series containing different members it is first assumed that the series consisted ancestrally of 32 INDIVIDUALITY OF MEMBERS OF SERIES. [IXTROD. some maximum number, from which the formula characteristic of each descendant has been derived by successive diminution. Here, again, I do not doubt that many who employ this assumption would hesitate to make it in set terms, but nevertheless it is the logical basis of all such calculations. Now this hypothesis involves a definite conception of the mode in which Variation works, and it is most important that tins should be realized clearly. For if it is true that each member of a Series has in every form an individual and proper history, it follows that if we had before us the whole line of ancestors from which the form has sprung, we should then be able to see the history of each member in the body of each of its progenitors. In such a Scries tin- rise of an individual member and the decline of another should then be manifest. Each would have its individual history just as a Fellowship in a College or a Canonry in a Cathedral has an individual history, being handed on from one holder to his successor, some being suppressed and others founded, but none being merged into a common fund. In other words, according to the received view of the nature of these homologies, it is assumed that in Variation the individuality of each member of a Meristic Series is respected. The difficulty in applying this principle is notorious, but when the evidence of Variation is before us the cause of the difficulty will become evident. For it will be found that though Variation may sometimes respect individual homologies, yet this is by no means a universal rule ; and as a matter of fact in all cases of Meristic Series, as to the Variation of which any considerable */ body of evidence has been collected, numerous instances of Varia- tion occur, in which what may be called the stereotyped or tra- ditional individuality of the members is superseded. This error in the application of the principle of Homology to individual members of Meristic Series has arisen almost entirely through want of recognition of the unity of Meristic Repetition, wherever found. In the case of a series of parts among which there is no perceptible Differentiation, no one would propose to look for individual Homologies. For example, no one considers that the individual segments in the intestinal region of the Earth- worm have any fixed relations of this kind ; no one has proposed to homologize single leaves of one tree with single leaves on another ; it is not expected that the separate teeth of a Roach have definite homologies with separate teeth of a Dace, for such expectations would be plainly absurd. But in series whose mem- bers are differentiated from each other the existence of such in- dividuality is nevertheless assumed. To take only one case: a whole literature has been devoted to the attempt to determine some point in the vertebral column or in the spinal nerves from which the homologies of the segments may be reckoned. This is a problem which in its several forms has been widely studied. Some SECT, vi.] INTRODUCTION. 33 have attempted to solve it by starting from the lumbar plexus, while others have begun from the brachial. In the case of Birds this question is reduced to an absurdity. Which vertebra of a Pigeon, which has 15 cervical vertebrae, is homologous with the first dorsal of a Swan which has 26 cervicals ? To decide these questions the only possible appeal is to the facts of Variation, and judged by these facts the whole inquiry comes to an end, for it is seen at once that the expectation is founded on a wrong con- ception of the workings of Variation. No one, as has been said above, would attempt such an inquiry if the series were un- differentiated, for this individuality would not be expected in such a Series ; but to suppose that it does exist in a differentiated Series of parts, is to suppose that with Differentiation the ordinal individuality of the members has become fixed beyond revision. This supposition the Study of Variation will dispel. Here, as in the preceding case of the theoretical doctrine of Serial Homology, the current view is far too simple and far too human. Though the methods of Nature are simple too, yet their simplicity is rarely ours. In these subjective conceptions of Homology and of Variation, we have allowed ourselves to judge too much by human criterions of difficulty, and we have let our- selves fancy that Nature has produced the forms of Life from each other in the ways which we would have used, if we had been asked to do it. If a man were asked to make a wax model of the skeleton of one animal from a wax model of the skeleton of another, he would perhaps set about it by making small additions to and subtractions from its several parts ; but the natural process differs in one great essential from this. For in Nature the body of one individual has never been the body of its parent, and is not formed by a plastic operation from it ; but the new body is made again new from the beginning, just as if the wax model had gone back into the melting-pot before the new model was begun. SECTION VII. MERISTIC REPETITION AND DIVISION. Before ending this preliminary consideration of Merism it is right that we should see other aspects of the matter. What fol- lows is put forward in no sense as theory or doctrine, but simply as suggesting a line of thought which should be in the minds of any who may care to pursue the subject further or to study the evidence. It is perhaps only when it is seen in connexion with its possible developments that the magnitude of the subject can be fully felt. B. 3 34 ASEXUAL REPRODUCTION. [IXTROD. In the treatises on Comparative Anatomy which belong especi- ally to the beginning of this century, the idea constantly recurs that the series of segments of a metarnerically segmented form do in some sort represent a series of individuals which have not detached themselves from each other. Seen in the light of the Doctrine of Descent this resemblance or analogy has been taken as a pos- sible indication that the segmented forms may actually have had some such phylogenetic history as this. By similar reasoning the Metazoa have been spoken of as "Colonies" of Protozoa. Now though we need not allow ourselves to be drawn away into these and other barren speculations as to phylogeny, we may still note the substance of fact which underlies them. For it is now recognized that between the process by which the body of a iYa/,s is metamerically segmented, and that by which it divides into a chain of future " individuals," no line can be drawn : that the process of budding, or of stabilization, by which one form gives rise to a number of detached individuals, is often indistinguishable from the process by which a near ally gives rise to a connected colony, and that the two processes may even be interchangeable in the same form ; finally that the process of division of a fertilized ovum by the first cleavage plane may be in some essentials com- parable with the division of a Protozoon into two new individuals. All these are now commonplaces of Natural History. With what justice these considerations may have been applied to the problems of phylogeny we need not now inquire, but to the interpretation of the facts of Variation they have an application which ought not to be neglected. If, then, as is admitted, there is a true analogy between the process by which new organisms may arise asexually by Division, and the process by which ordinary Meristic Series are produced, it follows that Variation, in the sense of difference between offspring and parent, should find an analogy in Differentiation between the members of a Meristic Series. Applied to the case of asexual re- production there seems no good reason for denying this analogy. It is of course an undoubted fact that in the asexual reproduction of many forms Variation is rare, though the sexually produced offspring of the same forms are very variable. In plants this is familiar to everyone, though the extension of the same principle to animals rests chiefly on inference. Nevertheless in plants bud- variation, both Meristic and Substantive, happens often, and the division of a plant into two dissimilar branches may well be com- pared to the production of dissimilar offspring by one parent. : in- deed, if the processes of Division are admitted to be fundamentally the same, this conclusion can scarcely be escaped. In one more aspect this subject may be considered with profit. It is, as we have seen, believed that the division of an ovum into two segmentation-spheres is not a process essentially different SECT, vii.] INTRODUCTION. 35 from the division of certain Protozoa into two " individuals." In conceiving the manner of Variation in such Protozoa we have little or no fact to guide us, but this much is obvious : that for the introduction of a variety as the offspring of a given species, it is necessary either that the two parts into which the unicellular organism divided should have varied equally, and that the division should thus be a symmetrical division (in the full sense of qualitative as well as formal symmetry) ; or that the division should be asymmetrical, the resulting parts being dissimilar, in which case one may conceivably belong to the type arid the other be a Variety. If Variation has ever occurred in the reproduction of animals of this class it must have occurred on one or both of these plans. Returning to the segmentation of the Metazoan ovum we have the well-known results of Roux and others, shewing that, in certain species, the first1 cleavage-plane divides the body into the future right and left halves. In such cases then on the analogy of the Protozoon, the right and left halves of the body are in a sense comparable with the two young Protozoa, and though each half is hemi-symrnetrical, it is in this way the equivalent of a separate organism. This suggestion, which is an old one, receives support from many facts of Meristic Variation, especially from the mode of formation of homologous Twins and "double Monsters" which are now shewn almost beyond doubt, to arise from the division of one ovum'. But besides the evidence that each half of the body may on occasion develop into a whole, evidence will be given that one half may vary in its entirety, independently of the other half. Such Variation may be one of sex, taking the form of Gynandromorphy, so well-known among Lepidoptera, in which the secondary sexual characters of one side are male, those of the other being female ; or it may happen that the difference between the two sides is one of size, the limbs and organs of one side being smaller than those of the other ; or lastly the Variation between the two sides may be one that has been held characteristic of type and variety or even of so-called species and species3. These matters have been alluded to here as things which a student of the facts of Variation will do well to bear in mind. It is difficult to see the facts thus grouped without feeling the 1 Often it is the second cleavage-plane (if any) which corresponds with the future middle line. 2 The well-known evidence relating to this subject will be spoken of later. The view given above, which is now very generally received, finds support in the striking observations of DRIESCH, lately published (Zt. f. iv. Zool., 1891, LIII. p. 160). Working with eggs of Echinus, Driesch found that if the first two segmentation- spheres were artificially separated, each grew into a separate Pluteus ; if the separation was incomplete, the result was a double-monster, united by homologous surfaces. Similar experiments attended by similar results have since been made on AmpJnoxus by E. B. WILSON, Anat. Anz., vn. 1892, p. 732. 3 Evidence of such abrupt Variation between the two sides of the body belongs for the most part to the Substantive group. 3—2 36 SUBSTANTIVE VARIATION : EXAMPLES. [IXTROD. possibility that the resemblance between the two sides of a bilaterally symmetrical body may be in some essentials the same as the resemblance between offspring of the same parent, or to use an inclusive expression, that the resemblance between the members of a Meristic Series may be essentially the same as the resemblance and relationship between the members of one family ; that the members of a row of teeth in the jaw, of a row of peas in a pod, of a chain of Salps, or even a litter of pigs, all resulting alike from the processes of Division, may stand to each other in relationships which though different in degree may be the same in kind. If reason shall appear hereafter for holding any such view as this, the result to the Study of Biology will be profound. For if it shall ever be possible to solve the problem of Symmetry, which may well be a mechanical one, we shall thus have laid a sure foundation from which to attack the higher problem of Variation, and the road through the mystery of Species may tl.u- be found in the facts of Symmetry. SECTION VIII. DISCONTINUITY IN SUBSTANTIVE VARIATION: SIZE. From the subject of Merism and the thoughts which it suggests, we now pass to another matter. The first limitation by which we proposed to group Variations was found in the characters which they affect : the second relates to the magnitude, or as I shall call it, the Continuity of the variations themselves. And though for many a conception has no value till it be cast in some finite mould, my aim will be rather to describe than to define the meaning of the term Continuity as applied to Variation. In dealing with a subject of this obscurity, where the outlines are doubtful, an exact mapping of the facts cannot be made and ought not to be attempted; but I trust that from the present indications, vague though they are, some larger and more definite conception of Discontinuity in Variation may shape itself hereafter by a process of natural growth. For this reason I shall as far as possible avail myself of examples rather than of general expres- sions, whether inclusive or exclusive. To those who have studied the recent works of Galton, the conceptions here outlined will be familiar. In the chapter on "Organic Stability" in Xntnrul Inheritance, the matter has been set forth with charming lucidity, and what follows will serve chiefly to illustrate the manner in which the facts of Natural History correspond with the suggestions there made. In the ease of most species it is a matter of common knowledge SECT, viii.] INTRODUCTION. 37 that though no two individuals are identical, there are many which in the aggregate of their characters nearly approach each other, constituting thus a normal, from which comparatively few differ widely. In such a species the magnitude of these differences is proportional to the rarity of their occurrence. Now this, which is a matter of common experience, has been shewn by Galton to be actually true of several quantities which in the case of Man are capable of arithmetical estimation. In the cases referred to it has thus been established that these quantities when marshalled in order give rise to a curve which is a normal curve of Frequency of Error. Taking for instance the case of stature, Galton's statistics shew that for a given community there is a mean stature, and the distribution of the statures of that community around the mean gives rise to a Curve of Error. In this case the individuals of that community in respect of stature form one group. Now in the case of a collection of individuals which can be separated into two species, there is some character in respect of which, when arranged by their statistical method, the individuals do not make one group but two groups, and the distribution of each group in respect of that character cannot be arranged in one Curve of Error, though it may give rise to two such curves, each having its respective mean. For example, if in a community tall individuals were common and short individuals were common, but persons of medium height were rare, the measurements of the Stature of such a community when arranged in the graphic method would not form one Curve of Error, though they might and probably would form two. There would thus be a normal for the tall breed, and a normal for the short breed. Such a community would, in respect of Stature, be what is called dimorphic. The other case, in which the whole community, grouped according to the degrees in which they display a given character, forms one Curve of Error, may conveniently be called monomorphic in respect of that character. By considering the possible ways in which such a condition of dimorphism may arise in a monomorphic community, one of the uses of the term Discontinuity as applied to Variation will be made clear. Considering therefore some one character alone, in a species which is monomorphic in respect to that character, individuals possessing it in its mean form are common while the extremes are rare ; while if the species is dimorphic the extremes are common and the mean is rare. Now the change from the mono- morphic condition to the dimorphic may have been effected with various degrees of rapidity : for the frequency of the occurrence of the mean form may have gradually diminished, while that of the extremes gradually increased, through the agency of Natural Selection or otherwise, in a long series of generations ; or on the other hand the diminution in the relative numbers of the mean individuals may have been rapid and have been brought about in 38 HORNS OF BEETLES. [iNTROD. a few generations by a few large and decisive changes, whether of environment or of organism. Referring to the curve of Distribution formed in the graphic method of displaying the statistics, during the monomorphic period the curve has one apex corresponding with the greatest frequency of one normal form, but in the dimorphic period the curve has two apices, corresponding with the comparative frequency of the two extremes, and the comparative rarity of the mean form. The terms Continuous or Discontinuous are applicable to the process of transition from the monomorphic to the dimorphic state according as the steps by which this change was effected are small or large. The further meanings of Discontinuous Variation will be explained by the help of examples. The first cases refer to Sub- stantive Variation1, and we may conveniently begin by examining a case of Variation in a character which is easily measured arith- metically. Among beetles belonging to the Lamellicorn family there are numerous genera in which the males may have long horns arising from various parts of the head and thorax2. These horns may be T.h ~~^ Cf.k Fio. 1. Side-views of the Lamellicorn beetle, Xylotrupes gideon. Legs uot represented. I, High male, II, Medium male, III, Low male. 1 In referring thus to evidence as to Substantive Variation, I find myself in the difficulty mentioned in the Preface. For it is necessary to allude to matters which cannot be properly treated in this first instalment of facts. In order, however, that the one introductory account may serve for all the evidence together, such allusion is inevitable and I can only trust that full evidence as to Substantive Variation may be produced before long. - For particulars of this subject with illustrations, see Descent of Mail, 1st ed.. vol. I. pp. 369 — 372. A detailed account of this and the succeeding example in the case of the Earwig was given by Mr Brindley and myself in P. '/,. S., 1893. SECT. VIII.] INTRODUCTION. 39 of very great size, as in the well-known Hercules beetle (Dynastes hercules) and others. The females of these forms are usually without horns. In such genera it is commonly found that the males are not all alike, but some are of about the size of the females and have little or no development of horns, while others are more than twice the size of the females and have enormous horns. These two forms of male are called " low " and " high " males respectively. In many places in the Tropics such beetles abound, both " high " and " low " males occurring in the same locality. An admirable example of this phenomenon is seen in Xylotrupes gideon, of which a " high," " low," and medium male are shewn in profile in Fig. 1. Of this insect a very large number were kindly given to me by Baron Anatole von Hiigel, who collected them at one time, in one locality, in Java. In this species there is one cephalic and one thoracic horn, placed in the positions shewn in the figure. Fig. 1, I shews a "high" male, II is a medium, and ill a " low " male. In the gathering received there were 342 males. My friend, Mr H. H. Brindley, has made careful measurements of the lengths of the horns of these specimens and has constructed the diagram, Fig. 2. In this each dot represents an individual, and the abscissae shew the measurements of the length of the cephalic horn. For clearness these measurements are represented as of twice the natural size. So far as the numbers go the result shews that the most frequent forms are M' u FIG. 2. Diagram representing the frequency of the lengtbs of cephalic horn in male Xylotrupes gideon. M, the mean case ; M' the mean value. The abscissae give lengths of cephalic horn in lines. 40 FORCEPS OF EARWIGS. [IXTROD. the moderately low and the moderately high, the forms of mean measurement being comparatively scarce. It is true that the numbers are few, but so little heed is paid to phenomena of this kind that material is difficult to obtain and the present oppor- tunity was indeed wholly exceptional1. But taking the evidence for what it is worth, the comparative scarcity of " medium " males in that particular sample is clear, and so far the form is dimorphic, and has two male normals. Now such a condition may have arisen in several ways. First, in the past history of the species there may have been a time when the males were horned and were monomorphic, the " medium" form being the most frequent, and the present dimorphic condition may have been derived from this, either continuously or discon- timiously as described above for the case of Stature. Secondly, the dimorphism may date from the first acquisition of the horns, and this character may perhaps have always been distributed in the dimorphic way. In this case the term Discontinuous would be applicable to the Variation by which the groups of "high" and " low " males have been severally produced. I am not acquainted with evidence as to the course of inheritance in these cases, and I do not know therefore whether both " high" and " low" males may be produced by one mother. If this should be shewn to be the case, it would suggest that the separation of the males into two groups was a case of characters which do not readily blend, and are thus exempt from what Galton has called the Law of Regression2. In the case of a somewhat similar structure found in the Common Earwig (Forjicula auric ularia) the dimorphism is still more definite. In the autumn of 1892 on a visit to the Fame Islands, a basaltic group off the coast of Northumberland, it was found that these islands teem with vast quantities of earwigs. The abundance of earwigs was extraordinary. They ^^^^ lay in almost continuous sheets under every stone w and tussock, both among the sea-birds' nests 1 B and by the light-keepers' cottages. Among them FIG. 3. I, High were males of the two kinds shewn in Fig. 3 ; the male, II, Low male one or high male having forceps of unusual length, of Common Earwig the other or low maj being the common form. (Forficula auricu- T . , . , , °. , c laria) from the It appears that the high male is known from many Fame Islands. places in England and elsewhere and that it was made into a distinct species, F. furcipata, by 1 In the Lucanidffi, of which the Stagbeetlc (L. <-ernt«\ is an example, a similar phenomenon occurs, the "high" and "low" males being distinguished by the degree of development of the mandibles. No sufficient number of male Stagbeetles has yet been received to warrant any statement as to the frequency of the various types of males. 2 Natural Inheritance, pp. 88 — 110. SECT. VIII.] INTRODUCTION. 41 STEVENS1 though by later authorities2 the species has not been retained. A large sample of Earwigs collected in a Cambridge garden contained 163 males of which 5 would come into the high class, but the great abundance of high males at the Fames seems to be quite exceptional. With a view to a statistical determination of the frequency of the high and low forms 1000 of these Earwigs were collected by Miss A. Bateson, the whole being taken at random on one day from three very small islands joined to each other at low tide. Of the 1000 specimens 583 proved to be mature males with elytra fully developed, no specimen with imperfect elytra being included in this number3. On measuring the length of the forceps to the nearest half mm. and grouping the results in the graphic method the curve shewn in Fig. 4 was produced. The figures on the FIG. 4. Curve shewing frequency of various lengths of forceps of male Earwigs (F. auricularia) from the Fame Islands. Ordinates, numbers of individuals: abscissas, lengths of forceps in mm. ordinates here shew the numbers ot individuals, those on the abscissae giving the length of the forceps in millimetres. As there 1 STEVENS, Brit. Ent. 1835, vi. p. 6, PI. xxvm. fig. 4. - FISCHER, Orthop. Europ., 1853, p. 74; BRDNNER VON WATTENWYL, Prodi: d. europ. Orthop., 1882, p. 12. :i For particulars in evidence of the maturity of these specimens see P. Z. S., 1893. 42 COLOUR. [INTROD. shewn the smallest length of forceps was 25 mm., and the greatest 9 mm., the greatest frequency being grouped about 3'5 mm. ami 7 mm. respectively. The mean form having forceps of moderate length is comparatively rare. The size of the forceps of the females scarcely varies at all, probably less than 1 mm. in the whole sample. The number of cases is enough to fairly justify the acceptance of these statistics and it is not likely that a greater number of cases would much alter the shape of the curve. Here, therefore, is a group of individuals living in close communion with each other, high and low, under the same stones. No external circum- stance can be seen to divide them, yet they are found to consist of two well-marked groups. Before leaving these examples special attention should be di- rected to the fact that the existence of a complete series of indivi- duals, having every shade of development between the "lowest" and the " highest " male, does not in any way touch the fact that the Variation may be Discontinuous ; for we are concerned not with the question whether or no all intermediate gradations are possible or have ever existed, but with the wholly different question whether or no the normal form has passed through each of these intermediate conditions. To employ the metaphor which Gal ton has used so well — and which may prove hereafter to be more than a metaphor — we are concerned with the question of the positions of Organic Stability ; and in so far as the intermediate forms are not or have not been positions of Organic Stability, in so far is the Variation discontinuous. Supposing, then, that the "high" and " low " males should become segregated into two species — a highly improbable contingency — these two species would have arisen by Variation which is continuous or discontinuous according to the answer which this question may receive. SECTION IX. DISCONTINUITY IN SUBSTANTIVE VARIATION : COLOUR AND COLOUR-PATTERNS. From the consideration of Discontinuity in the Variation of a character, size, which may be readily measured arithmetically, we pass to the more complex subject of Discontinuous Variation in qualities which are not at once capable of quantitative estimation. In this connexion the case of colour- variation may be profitably considered. Nature abounds with examples of colour-polymor- phism, and in numerous instances such Variation is discontinuous. Of such discontinuous Variation in colour I shall speak under two heads, considering first variations in colours themselves and SECT. IX.] INTRODUCTION. 43 secondly variations in colour-patterns. As it is not proposed to give the evidence as to Substantive Variation in this volume, a few examples must suffice to shew the use of the term Dis- continuity as applied to these Colour- variations. I. Colours. The case of the eye-colour of Man may well be mentioned first, as it has been studied statistically by Galton. In this case the facts clearly shewed that certain types of eye-colour are relatively common and that intermediates between these types are comparatively rare. The statistics further shewed that in this respect inheritance was alternative, and that the different types of eye-colour do not often blend in the offspring. " If one parent has a light eye-colour and the other a dark eye-colour, some of the children will, as a rule, be light and the rest dark ; they will seldom be medium eye-coloured, like the children of medium eye-coloured parents.1" Colour dimorphism of this kind is very common among animals and plants. It is well known, for example, among beetles. Several metallic blue beetles have bronze varieties of both sexes, living together in the same locality. A familiar instance of this dimor- phism occurs in the common Phratora vitellince. Again in the Elaterid beetle, Corymbites cupreus, there is a similar dimorphism in both sexes, the one variety having elytra in larger part yellow- brown, while the elytra of the other are metallic blue. This blue variety was formerly reckoned a distinct species, C. ceruginosus. In the latter case I am informed by Dr Sharp, who has had a large experience of this species, that no intermediate between these two varieties has been recorded, and in the case of the Phratora the occurrence of intermediates is very doubtful. An- other common example of colour dimorphism is seen in Telepltorus lividas, the " sailor " of " soldiers and sailors." This beetle may be found in large numbers, about half being slaty in colour (var. dispar), while the remainder have the yellowish colour which coleopterists call " testaceous." Such instances may be multi- plied indefinitely. When the whole evidence is examined it will be found that different colours are liable to different discontinuous variations ; as instances may be mentioned black and tan in dogs ; olive-brown or green and yellow in birds, &c.'2: grey and cream- 1 Natural Inheritance, p. 139. 2 A specimen of the green Eiug Parakeet (Palceornis torquatus) at the Zoological Society's Gardens was almost entirely canary-yellow in 1890. Since that date it has become more and more " ticked " with green feathers. A Green Woodpecker (Picus I'iridis) is described, having the feathers of the rump edged with red instead of yellow, the normally green feathers of the three lower rows of wing-covers and the back were pointed with yellow. J. H. GURNEY, Zoologist, XT. p. 3800. I am indebted to Mr Gurney for the loan of a coloured drawing of this specimen. Another example is described as being entirely canary-yellow, with the exception of a few feathers on the cap, which were purple-red. Die BETTA, Mater, per una fauna Veronese, p. 174. For this reference I am indebted to Prof. Newton. Specimen of Common Bunting whitish yellow. EDWARD, ZooL, (5492 ; Sedge Warbler canary- yellow. BIRD, ZooL, 3632. The Canary itself is a similar case. An Eel gamboge- yellow. GURXEY, ZooL, 3599. 44 RED AND YELLOW. [IXTROD. colour in mice and cygnets1 ; red and blue in the eggs of many Copepoda2, the tibia? of Locusts3, the hind wings of the Crimson Underwing (Catocala iu//>fn)4, &c. Another case of blue as a variety of scarlet is the familiar one of the flower of the Pim- pernel (AiKiyallis arvensix). Discontinuous colour-variation of this kind is one of the commonest phenomena in nature, but to advance the subject materially it is necessary for a large mass of evidence to be produced. This cannot now be attempted, but in order to bring out the close relation between these facts and the problem of Species I propose to dwell rather longer on one special section of the evidence which must serve to exemplify the rest. The case which I propose to take is that of certain yellow, orange, and red pigments. For brevity I shall present the chief facts in the first instance without comment. 1. Cofias edusa (Clouded Yellow) is usually orange-yellow, having a definite pale yellow female variety, helice, which is not recognized as occurring in the male form. A specimen is figured having the right side helice and the left edusa. FITCH, E. A., Entomologist, 1878, XLI. p. 52, PI. fig. 11. This was an authentic specimen, for Mr Fitch tells me that it was taken by his son and seen alive by himself. A specimen having one wing white and the rest orange is recorded by MORRIS, Brit. But., p. 13. Intermediates between edusa and helice must be exceedingly rare. OBERTHUR records two such specimens and says that STAUDINGER took a similar one at Cadiz. For this intermediate he proposes a new name, helicina. Bvill. Soc. Ent. Fr. (5), x. p. cxlv. 1 In this case I can affirm the alternative character of the inheritance. For several years a pair of swans kept by St John's College, Cambridge, have produced cygnets, some of which have been of the normal grey, while others have been fawn- colour, a condition which Prof. Newton tells me has been thought characteristic of the "Polish" swan, a putative species. None of these cygnets are intermediate in colour, and all acquire the full white adult plumage, but the feet of the fawn-coloured cygnets remain pale in colour. Now the father of these has pale feet and was doubtless himself a fawn-coloured cygnet ; the hen is normal. The cock formerly belonged to Dr (iifford, who kindly told me that the cygnets of this bird by a different hen were also thus diverse. A pair of these were given to Sir John Gibbons, who informs me that " from these there has been a brood every year, and always I think one of the cygnets has been white or nearly so, the others being of the usual colour." One of I)r Gifford's birds was also given to the late Mrs Gosselin of Blakesware, to whom I am indebted for descriptions of and feathers from several fawn-coloured cygnets which were its offspring. A similar case on the Lake of Geneva is re- corded by FAUVEL, Rev. ZooL, 1869, p. 334, and another in the Zool. Gardens at Amsterdam, by NEWTON, Zool. l\ec., 1869, p. 99. a This is well known to collectors of fresh-water fauna, and I have repeatedly seen the same phenomenon in species of l)iapto»nts, especially I), aniuticua, in the lakes of W. Siberia. Among thousands of individuals with red-brown egg-sacs, will often occur a few specimens having the egg-sacs of a brilliant turquoise-blue. In this connexion compare the case of the Crayfish (Antaeus jiuviatilis), which turns scarlet on being boiled, and which, like the Lobster, not uncommonly appears in a full blue variety. 3 Culoptrinis nprftus with hind tibiir blue instead of red, DODGE, Can. Ent., 1878, x. p. 105 ; Melitnopliix pticliurtlii, having hind tibiie red instead of bluish, BKONER, Can. Ent., 1885, xvn. p. 1H. For reference to these observations I am indebted to COCKERELL, Knt., IHH',1, xxn. p. 127. * WHITE, Ent., 188K, xxn. p. 51. Compare the fact that in another species of Catocala (C.fraxini), the Clifden Nonpareil, the hind wings are normally bluish. SECT, ix.] INTRODUCTION. 45 A curious specimen, apparently a male, having the colour of helice was kindly shewn me by Mr F. H. WATERHOUSE. The light marks which in the female are present on the dark borders of the fore-wing are only represented by one minute light mark on each fore-wing. In most if not all of the edusa group of Colias, there is a pale aberration of the female, corresponding to the helice variety of ei. ^[ of a chemical nature, and that the transitions i one -hade of yellow to another, or from yellow to orange or i phenomenon comparable with the changes of litmus and •able blues from blue to red or of turmeric from v,-i: bi..\\n. If such a view of these phenomena were to be • I. it would. I think, be simpler to regard the constancy of th,. binta »t the several species and the rarity of the intermediate \:u . direct manifestation of the chemical stability or iliilitv of the i-.. louring matters, rather than as the con- of environmental Selection for some special fitness a^ t.i \\li.is,- nature we can make no guess. For we do know the phenomenon <.f chemical discontinuity, whatever maybe its ulti- mate causes, but ..f tin — - hypothetical fitnesses we know nothing, n..t . \.-n whether they exist or no. II. C«/'»'ift<'/-/i*. Thus far I have spoken only of dis- continuous v:iri:iti'>ns in colours themselves, but there are no less remarkable instance, , ,f i U.-M-. mt iuu« in^ variations in the distri- bution f ^r> at magnitude may occur. ()M.- ..f th.- most obvi,.u- cases of this phenomenon is that of the ('at. In Km-.. ]•• an towns cats an- of many colours, but they ii.-\.-rtl1(-l.-- fall very n-adily into c.-rtain classes. The chief of tli. -•• are Mack, tabby, silver-grey and silver brindled, sandy, tor- toi-,, -h.-ll. black and white, and white. ( )f course no two cats hav.- id.-iitical ciilnirini,', but the individual variations group very ;lv round these Centres, and intermediate forms which cannot at on.-.- }>,• i-i-t'.-rrei| to any of these groups are immediately recognized -"mi-tiling out of the common and ^tran^e. Vet it is almost certain that cats ..fall shades l.re.-d freely together, and there is no r.-a^..ii to viij,|,,,-e that the discontinuity lietwecn the colour- •u|>- i> in any way (let.-i-miiied by Natural Selection. Aiiot! mple ma\ be aeen in the hog-whelk (I'm-punt ln/n/liiM). Tin- animal OCCUTS on nearK the whole British coast. rocks or even clay hanl enough to form definite , Like nioxt littoral animals, the hog-whelks of h locality dilV-T more or |e. 2H4. : .ire aberration " var. Elymi" there is a variety sometimes found in - BO constant and definite that it has been regarded as I i.j,' may be quoted respecting its occurrence iu Australia, •in : • I .... .1 mdance about Melbourne aud in many other parts of Australia il appearance and habit of C. cardui, so closely represented I know refers it to that species. The Australian species diiT.ii fii.ni tl,.- Kiii.ip.an one constantly, however, in having the centres of the thi. : >ts on the posterior wings bright blue, and having two other bin. ior angles of the same wings, the corresponding parts of tin- Kur.>|»-uii f.'im bring black." For this form the name C. kershawi is proposed. M < I inn. iiml MH;I. of Xat. Hint., Ser. 4, i. 1868, p. 76. See also OLLIFF, .. .V. S. Jl'., Ser. 2, in. p. 1251. The notices of its occurrence in Kiir»|. r ii- iluw-i. In 1884 Mr Jenner Weir exhibited a specimen of P. Nr\v Forest. Three of the five black spots in the disk of the ii)i]" :' thr biii'l-wings had blue pupils ; lie pointed out that the specimen tbu 1 the Australian form, I', kcrsliau-i. Proc. Ent. ,S'oc., 1884, .VII. tliat he has taken a specimen having these blue at K.i: \\ijk, in Holland. In tin- case i,ri\eii, the evidence certainly suggests that these \.-iri'. M^ forms M aberration are grouped round a normal form of ab.-iTatiiin, jii>t a- tin- individuals of the type are grouped round Itfl normal. ( >i. :;\]>\<- of a -imilar discontinuity in a melanic varia- may pn.titably li«- given. I have taken this opportunity of referring to such a case, as the general evidence of melanie \ariati. .n- :i the whole to she\\- that they are not commonly discontinuous, and further e\idenee <>n this point would be most. '!'•• appreciate the evidence BUTLER'S coloured plate >h"iild In- r.'f. 1 1 -i-d tn. A \M-11 inarkr.l LTi-,,up (»f butterflies of this genus allied to , i^ f.iiiii.l in .Japan. It cmitaiiis funns of great diversity in amount of Mark l.onlrr whi.-li on-ni-s mi tin- outer margins of the fore- Tln- reiiiainder of tin- win^s is lemon-yellow. The I'onl.T may !,.• confined bo the tip .,f tin- fore-wings, or may there OOCUpy a .-on, i.l. -ral.lc ana ami 1 »• extended alon^ the whole outer mar-in of l-.,tl. wri Tli.- for,,, with thr least Mark is called T. man- tl.at with tin- most, is i-ullr.l /'. OTortewt, and the intermediate I'pw.mls «if i:,o specimens, all from Nikko, • examined; th,-M- ran-nl between the bwo extremes, and were fllllnii '" ' ...... :i continuoua series. Botler states that " the absence of them, referable ..nly to two gradations, w,,ul«l at once leave the three specie sharply ..-unt inuous Variation iu th.- ca ..... f ... In- marking or c\«--.spots. Upon t),i, -u! 'liin- u.-'-.l li.-ri- I"- said as the »-\ id'-iu-i- will be given in (I. -tail in tli«- i-.'iir-«- "f tlii- \nlmiif (866 ' 'liap. XIII.). SECTION X. I'M ".VIIXITIT IN SUBSTANTIVE VARIATION.— MlSCELtANEOUS K.\ \MI'i I - 'he discontinuous occurrence of Substantive Variation, the manif.-tations an- inanv and diverse. We have seen that in such features as si/.', ••<,!,. nr, and culoni--|iat tej-ns, Variations may be • li-.-. nit inn.. ii-. and a form may thus result, differing markedly iVi.m tin- t\|>.- which begot it. Variation in the proportions or tin- ••..n-titutiiui «.f .-s.-ntial jiart> may no less suddenly occur. 'I'll, ran^.- ..!' tln-se jiheiniini-iia is a large one, but. tor the purposes <>f thi- Iiitmdnetion :i few • xampl.-s must suffice in general illustration of their scop.-. A discontinuous variation which is familiar to all is that of rersed" vaiieties, ojiecially of MolhiM-s and Flat-fishes. Such \ ari'-t 1- - an- formed as ..jit ieal ima^i •> of the body of tin ' type. In both ..f tin- ^n.nps nann -d, >ome species are normally right-handed. ntln-r- l.ein^ normally left-handed, while as individual variation-- rev. i-. d . samples are found. In .Molluscs this is not peculiar to 1 .pods uith spiral shells, but may occur also both in Lima- cid.-e islii;^-)1 and in Laim •llibraiichsa. Such variation is commonly discontinuous, and th«- two conditions are alternative. The fact that the reversed condition may become a character of an estab- li-hfd pace is- familiar in th.- case of /'//*//* untufinis. This shell is toiind in abnndanc.- as a fossil of the Norwich Crag, such iin.il-> K. in- normally 1.1't-handed. though the same species at th.- pr..-eiit da\ i- a ri-ht- handed one. Of the left-handed form a CO|MI,\ was discovered \>\ MAI-ANI>I;I:\V on the rocks in Vigo Bay::. was there a.—oeiated with certain other shells proper to the N"i \\ich ( Iraff. This discovery BI .-mL-d to Edward Forbes to be so remarkable that he looked ,,n it as corroborative evidence of a |;d connexion between the fauna of Vig.> Bay and the Crag fosailfi . Jeffreys had the same variety from Sicily4. 1 F..1 .-MIIMJ,]... ;i Mii.stml Ari«ii. I'.vriM'N. -A.;/;-. (/,- Coin-]/., xxxil. 1884, p. r!"(i and inuny i.ti Mm mil Tellina, PIBOHBB, I'., ./.,;/;•. . M'lal uihrr . I/.". .V. //.. isl'.i, ,,. .307 4 r.nt. c,,n,-ii., i. ].. :(•_'.;. SECT, x.] INTRODUCTION. 55 That they may the better serve to bring out the significance of Discontinuity in Variation to the general theory of Descent, it may be well to choose some examples with reference to characters which when seen in domestic animals are looked on as especially the result of Selection. In exoskeletal structures several of this kind are known. From time to time there have been records of captures of the " hairy variety " of the Moorhen (Gallinula chloropus), in which the feathers were destitute of barbules and consequently had a hairy texture, greatly changing the general appearance of the bird. Of the " hairy " variety twelve specimens were recorded, five from Norfolk, and the rest from Cambridgeshire, Hampshire, Sussex (2), Suffolk, Nottinghamshire and Athlone in Ireland. The tips of the barbs and shafts of the feathers have been broken off and the barbules are entirely wanting, giving a hairy appearance. This appearance was found in the whole of the plumage. Owing to the absence of barbules, the general coloration is tawny. A few feathers of this kind have been found in Hawks and Gulls, and in the case of a Parra (a bird which bears considerable resemblance to a Moorhen), lent to Mr Gurney by Professor Newton, a great portion of the body feathers were in this condition. The feathers of the Apteryx and Cassowary are also partially destitute of barbules. Mr Gurney was informed of a single case of a Grey Brahma hen which shewed the same peculiarity which appears otherwise to be without parallel. The case of the Silky Fowl is similar in the absence of most of the barbules, but in it the point of the shaft is produced to a delicate point, and the barbs are fine and sometimes bin'd or tritid at the apex. From J. H. GURNEY, Trans. Norwich Nat. Soc., in. p. 581, Plate. [Bibliography given.] [If another " hairy " Moorhen is found, note of the colour of the skin and bones should be made, for, as is well known, in the Silky Fowl they are purplish blue.] The following may be compared : " Cochins are now and then met with in which the webs of the feathers having no adhesion, the whole plumage assumes a silky or flossy character like that of the Silky Fowl. It usually occurs quite accidentally, and in every case we have met with, the variety has been Buff. By careful breeding the character can be transmitted, but we have only known one case in which there had been this hereditary character, the others having been of accidental occurrence. Such birds are sometimes called 'Emu' fowls." LEWIS WRIGHT, Illust. Book of Poultry . 1886, p. 230. Of many domestic animals, for example, the goat, cat and rabbit, varieties with long, silky hair are familiar under the name of " Angoras." Very similar breeds of guinea-pigs are kept, to which the name " Peruvian " is given. In this connexion the capture of a mouse (Mus musculus) with long, black, silk-like hair is interesting1, as shewing that such a total variation may occur as a definite phenomenon without Selection. 1 COCKS, W. P., 2 Van*. Cornwall Pulytech. Soc., 1852. Like other animals, mice have of course often been found black. For instance, a number of black mice were found in Hampstead-down Wood. HEWETT, W., Zool. Jour. iv. p. 348. 5C HAIK. [ISTROD. AJ to the partial nakedness of the skin of many animals iMiin A.-.», several suggestions have been made. It has been variously supposed that the covering of hair has been gradually lo.t l.\ 'Man, in correlation with the use of clothes: with the heat the MIL. f..r ..rnaiii.-ntal purposes under sexual selection1; or !„ rl.ap- a* a protection from parasites'. Various suggestions h:i\.- also been made to explain the persistence of hair at the jun.-ti..n of the limbs and mi the head and face. To a con- Vidi-rati..!! »f the origin of nakedness, the evidence of Variation in ,.-asure contributes, and though the bearing is not very dir. n. it may illustrate the futility of inquiries of this kind made without n-gard to the facts of Variation. IfoUBB (J/"." miisculu*): male and pregnant female found in a ..-k lit Taplow ; both were entirely naked, being without hairs .-pi ing only a few dark-coloured whiskers. The skin was tlir..\\n up into numerous prominent folds, transversely traversing the Imdy iii :tn undulating manner. This condition of the skin obtained f,, r "tilt-in tin- name of "Rhinoceros mice." The ears were dark or hla.-kish, ill-1 'ail ash-coloured, and the eyes black, indicating that they we,,- i,.,t .-illiino-. The exfoliations from the skin were examined iiiicrosco pit-ally but no trace of hair-follicles was found, nor any ion "f di-ease. The animals were active and healthy. Tin- voting ones, when born, were similar to the parents. The •h \\i-if normal. In tin- MU--UIM of the College of Surgeons is a precisely similar s|ii-i-inii-n which was found in a house in London. GASKOIX, Proc. /,<„!. Soe . 1856, p. 38, /'/,>/,-. Tin---'- -p.-.-i ..... n-. of tin- i-ciiiiintin Mouse (Ma* ///».•«•/////*) were caught in tin- town i if Kliiin. The whole bodies of these three creatures "were .-..nipleti-lv naked as destitute of hair and as fair and smooth as a rhild's t-hft-k. Then- was nothing peculiar about the snout, whiskers, , l.iwcr half of tin- It-u's and tail, all of which had hair of the usual length an. I ctilmir. They had eves a.- bright and dark as in the common variety ..... At least twn others were killed in the same house where th- f<>und." CoiMiov. <... Z",,/,»//.s7, 1S.~>(), viii. p. 2763. >m.i\v (SoreX •'p.) "whole of upper surface of head and body •itute of hair, and skin corruir.-ited like that of Naked Mice figured in /'. X. S., 1856 : " sen! to I'.rit. Mus. by Mr P. Ciarner. GRAY, J. E., Ann, and M«:i. of \. //.. 1869, s. 4, iv. p. :5(10. In connexion with t . ihc fnllnwiii^ fact is interesting: //,.•,•/•.. •,/./!,;/(/.< i- :i e.'iiiis nf liiiiTiiwin^ loilriit 1'ruiii S. Africa. It contains two • T \vliii-h mil' i- iilmiit the si/.e nf ii iimiise :in«l the cither is rather larger. I ' ..... M teri/fil liy |n.--essiiie an a|i]Mi . nily hairless skin which is on the I ami limly nf a wrinklnl iiml \varly nature. On elusrr in>]iection the skin is . t.. lie fiiiiii-he.l with Inn -< ;i!iei. il liairs. luit there is no general appearance of a Imirv t-overing. Th. re i> no external ear in these animals. OLDFIKLD THOMAS, /'. /. 8., 1885, i' 846, Platt LIT. Iced honea lia\e often been exhibited. Such a horse caught in a •-> 1 ('. IIM.XMV. /), ... - nt ,,f M,I,I, i. p. 1 !•_'. •••ilnnili-l i,, .\i.-,ini;iii.i; see also Hi D80N, \.i turn list in La l'lG HEADS. [IXTROD. subject may be found. Inasmuch as carp are largely bred in ponds on tin'ent, there is in this case some suggestion that unnatural •M.-iy be concerned, but this suggestion does not apply to other : the same Variation. OTTO, Lvlirb. path. Anat., i. § 129, states th.it in the ponds of Silesia such tish are not rare. See also VOK;T, M'", /; ./. .\,tturk., in. p. 51"). ''.Hiii/arictm: specimen from the Danube similarly formed. Th. id was protuljerant and bulged in front of the eyes so that i- border was almost vertical. The attachments of the mandible are carried forward in such a manner that the mandible Greeted upwards almost at right angles to the body. [Good tiirun-. >i i iMiAcn.NKH, Yrrh. zuol.-bot. Ges. Wien, 1863, xin. p. 485, Sevi ,1 other types of Variation in the heads of Cyprinoids occur, but i-.iniii't In- d'-M-ribed liere.] i in i; i /.• " ••i-rim dnbula = cephalus) : specimen having anterior part i rounded "like a monumental dolphin." The body was normal, 3 «.-m. in length. LANDOIS, Zool. Garten, 1883, xxiv. r - MINNOW (1'hu.riuns hn'ix) specimen having a snout like a pug in"jme") [no description]. LUNEL, Pom. dulacLeman, p. Mi 1. 1. 1 i i Mmi'd capito) : specimen having both jaws directed up \\.ml-, ami the upper and anterior parts of the skull greatly i •!• -v.iti-il ainl protuberant : the appearance of the head was like that Full measurements given. CAXESTRINI, R., Affi . .//'. M-/. i,nt. in Padovn, 1884, IX. p. 117 [Bibliography I'D. B /(/••/'".- 1 doi-i-ibfd as like a pug, iliiil., p. 124; see also \'l:-.|.IK - . I //./--, 1849, Tut, \.\\. ji'J. 0. >\I.M-I\ (>'•//;;/.. solar): >piM-iiiit-ii having front part of face little il.-\i-lo|,,.(l, tip- Bupra-maxillaries being a^\ nnnctrical. Lower jaw projects i'.-ir in front nf ujiju-i- jaw. Animal of fair size, and not miMU'l-'-. V \N l.ll'lll I. -Ill DE, \ <>!••* fr«ni L>i/|M-i'iiiis shire. Heads short and : ii|.|.rr ia\\ trum-ated like a bull-dog. This \ariety does not I i . •'.. Bull-dog-headed TK.MT nt'tn CAKI.KT. SECT, x.] INTRODUCTION. 59 occur in neighbouring lochs. None weighed more than \ Ib. YAKKELL, Brit. Fishes, i. p. 286, figure given. Another specimen (Fig. 6), agreeing closely with Yarrcll's figure, was taken in a lake at an altitude of over 6000 ft. in the valley of Sept-Laux (Isere). Saving the head it was in all respects normal. This specimen is described and figured by CARLET, M. G., Journ. de I'Anat. et Phys., 1879, xv. p. 154. [It is declared that the fishermen who took it, having previously met with similar speci- mens, supposed that they had found a new species, but it is not expressly stated that these other specimens were from the same locality.] Before ending this preliminary glance at Discontinuity in Substantive Variation, allusion must be made to a case which is at once more famous and more instructive than any other. I refer to the celebrated phenomenon of the production of nectarines by peaches, or conversely. Upon the subject of almond, peach and nectarine, Darwin produced a body of facts which, whether as an example of a method or for the value of the facts themselves, form perhaps the most perfect and the most striking of all that he gave. The evidence which is there collected is known to all, and though similar observations have been made since by many, there is I believe nothing of importance to add to Darwin's statement. The bearing of these phenomena on the nature of Discontinuity in Variation is so close that Darwin's summary may with profit be given at length. " To sum up the foregoing facts ; we have excellent evidence of peach-stones producing nectarine-trees, and of nectarine-stones producing peach-trees — of the same tree bearing peaches and nectarines — of peach-trees suddenly producing by bud-variation nectarines (such nectarines reproducing nectarines by seed), as well as fruit in part nectarine and in part peach, — and, lastly, of one nectarine-tree first bearing half-and-half fruit and subsequently true peaches"1. After disposing of alternative hypotheses he concludes that " we may confidently accept the common view that the nectarine is a variety of the peach, which may be pro- duced either by bud-variation or from seed." In this case the evidence is complete. The variation from peach to nectarine or from nectarine to peach may be total. If less than total, the fruit may be divided into either halves or quarters2, so that for each segment the Variation is total still. Of inter- mediate forms other than these divided ones, we have in this case 1 Animals and Plants under Domestication, ed. 2, i. p. 362. 2 Ibid., p. 362, quoting from London's Gurd. Mag. 1828, p. 53. The case of a Boyal George peach which produced a fruit, " three parts of it being peach arid one part nectarine, quite distinct in appearance as well as in flavour. " The lines of division were longitudinal. GO RADIAL REPETITION. [iNTROD. no evidence: it is therefore a fair presumption that they are eith.-r ran- nr non-existent ; and that the peach-state and the •arin. -state are thus positions of " Organic Stability," between \vhi.-h th.- intermediate states, if they are chemical and physical -ibilities, are positions of instability. These examples of Discontinuity in Substantive Variation iiui-t Mittire to illustrate the nature of the phenomena. It will be M that the matters touched on cover a wide range, and the evidence relating to them must be considered separately and at l.-n-th. Such a consideration I hope in a future volume to attempt. SECTION XL his- "N-n.NTITV IN M ERISTIC VARIATION: EXAMPLES. as the facts of Meristic Variation form the substance ..f i hi- \.-lume. it is unnecessary in this place to do more than refer t.. tli.' manner in which they exhibit the phenomenon of Dis- '•"iitiuuitv. < iin- or two instances must suffice to give some sug- • ii ..t" tin- -uliject, detailed consideration being reserved. Tart- repeated meristically form commonly a series, which is • •itln-r radial <>r linear. or disposed in some other figure derived fr.iin "i- compounded <>f these. For the purpose of this preliminary treatment an instance "t I >i-cnnt inuous Variation in each of these ma !>.• taken. 1. Rmliiil Series. \ariations in the number of petaU of actinomorphic flowers exhiliit the I )i>c..ntintiity of Meristic Variation in perhaps its simplest form. Phenomena of precisely similar nature will hereafter be de- s.-nlied in animals. lmt Mich variati<»ns in flowers are so common and -. . a'-ce>sil»le that j-efereiice tu them mav with profit be made. In Fig. 7 such an example i~~ shewn. It repi-e-.-nt- ;l Tulip haxin^ the parts of the flower formed in multiples .if tour, in-tead »f in multiples of three as normally. \ anati'in of this kind may In- seen in any field or hedgerow1. M-ri-tic Variation is here pre>eiite.| in its gre at est simplicity. Such a rase may well ser\e to illustrate some of the phenomena of D •• -lit iniiity. full lii'Tatmr mid lists df c;isrs si-f cspeciiilly MASTEUS, Verit'taMe '. \. l'.ili/]iliiilfii. It is iicrlnips nun. T.. -siiiy to refer to the fact that •|i.'keii of ure (|iiite distinct from those which result fr.-iM mi ii--iiiiii.ti.>n l.y the members -f ...... series or whorl of the form and !•• nih.-r wliorls. SECT. XI.] INTRODUCTION. 61 A form with four segments occurs as the offspring of a form with three segments. Such a Variation, then, is discontinuous FIG. 7. Diagram of the flower of a Tulip having all the parts in -4. because a new character, that of division into four, has appeai'ed in the offspring though it was not present in the parent. This new character is a definite one, not less definite indeed than that of division into three. It has come into the strain at one step of Descent. Instances in which there is actual evidence of such descent are rare, but there can be no question that these changes do commonly occur in a single generation, and, indeed, in many plants, as for example Lysimachia (especially L. nemorum), flowers having all the parts in -4 or in -6 may be frequently seen on plants which bear likewise normal flowers with the parts in -5. Now such a variation as this of the Tulip illustrates a pheno- menon which in the Study of Variation will often be met. We have said that the variation is discontinuous, meaning thereby that the change is a large and decided one, but it is more than this ; it is not only large, it is complete. The resulting form possesses the character of division into four no less completely and perfectly than its parent possessed the character of division into three. The change from three to four is thus perfected : from the form with perfect division into three is sprung a form with perfect division into four. This is a case of a total or perfect Variation. This conception of the totality or perfection of Variation is one which in the course of the study will assume great importance, and it may be best considered in the simple case of numerical and Meristic Variation before approaching the more complex question of the nature of totality or perfection in Substantive Variation. The fact that a variation is perfect at once leads to the ques- RAM A I. REPETITION*. [iXTROD. tion as to what it might be if imperfect. Between the form in -3 and tin- form in -4 are intermediates possible? and it' possible, do th.-y exist * Now by choosing suitable species of regular flowers, indiudual flowers may no doubt be found in which there are three l:ir. nents and one small oue ; or two normal segments and a third dmded into two, making four in all. Such flowers are firstly \\hile cases of perfect transformation are common. But be- r rarity there is, further, a grave doubt whether they are in anv true sense intermediate between the perfect form in -:> and tin- |.".-rf. ct form in -4. After this again it must be asked whether 10 th. v do as a matter of fact occur as intercalated steps in the descent of the form in -4 from the form in -3 ? To the last ques- ti..n a general negative may at once be given ; for though there is abundant evidence that Meristic Variations of many kinds arid in ial degrees of completeness may be seen in the offspring of the aame parent, yel any one member of such a family group may -li.-w a particular Variation in its perfection, and the occurrence of anv int. im.-diate in the line of Descent is by no means necessary for ill.- production of the perfect Variation. 'I'., an-u. r the former question, whether or no forms imperfectly ividrd int.. four parts are in reality intermediate between those in -:{ and those in -4, a knowledge of the mechanics of the I in ..-.--. of 1 )i\ i-ion is required. Such knowledge is as yet entirely \\antiir_r. and di-'-ussion of this matter must therefore be prema- tun-. With niu.-h hesitation I have decided to make certain i. tl. xi'.n- .'ii tlh- -ulijert, which will be found in an Appendix to tlii- w.irk. Tli-- may perhaps have a value as suggestions to oth.-r-. though from th.-ir theoretical nature they can find no place here. Th. !•• i- how.-ver an. it h< -r class < if cases which are intermediate in a ditf«-n-nt wav. In tin- Tulip described above the quality of divi-i-.n int.. I- WBS piv>.-m in all tin- floral organs. This is not alwavs th. case, tor a M.-ristic Variation may be present in one as, though it is aljsent in -ome or all of the others, and this i- a phenomenon fn-.|ii.-nt ly i-fi-urring. Nevertheless, tli..tiL,di onl\ partially distrilmted, a Variation inav still be dis- |ila\i-d in it-> totality in the parts wherein it is present. The pan- "t a -in-^li- uliorl, the <-al\\ for .-\ainple, may undergo a coiii|.l. t.- N'ariatioii, while the corolla and other parts are un- ehang.-d. In the same \\ay single memlu-rs of a radial series, as a ).. tal for example, may undergo a complete Variation while the oth'-r in. mil. i- of tin- series are unchanged. The same will be -h.'un hen-alt, r t» be true of animals also. K.'i iii-iaiic.-, the normal number of the parts in the disc of Am-i'liii is four, but the whole liodv ma\ \»- divided instead into . « -i\ .T some other number of pans. Examples are also found in uliich tin- parts (,f one-half or of one quadrant are arranged in the new numli.-r, whd«- the remainder is normal; and, as in flowers, SECT, xi.] INTRODUCTION. 63 this new number may prevail in some or in all of those systems of organs which are disposed around the common centre. 2. Linear Series. Before speaking further of the totality or perfection of Varia- tion it will be well to give an illustration of Discontinuous Meristic Variation as it occurs in the case of a linear series of parts. As such an illustration the case of the variation in the number of joints in the tarsus of the Cockroach (Blatta) may be taken. This variation has been the subject of very full investigation by Mi- ll. H. Brinclley. The tarsus of the Cockroach is normally divided into five joints, but in about 25 per cent, of B. americana (and in a smaller proportion of several other species) the tarsus of one or more legs is divided into only four joints, though the total length may be the same as that of the corresponding leg of the other side, Fig. 8. Between the five-jointed form of tarsus and the four-jointed form no single case in any way intermediate was seen. The whole n FIG. 8. Tarsi of the third pair of legs in a specimen of Blatta americana, I. the left tarsus, having the normal, or 5-jointed form ; II. the right tarsus, having the 4-jointed form. evidence will be given in full in the proper place and raises many questions of great interest ; but that which is important to our present consideration is the fact that the Variation is here un- doubtedly discontinuous, arising suddenly as a total or perfect Variation, from the five-jointed form to the four-jointed. Here the variation, though total as regards the limb in which it is present, is not total as regards all the legs taken together. For commonly only a single leg had a four-jointed tarsus, and only one specimen was met with in which all six legs thus varied, and one specimen only shewed the variation in five legs. In speaking of such a Variation as a perfect Variation several things are meant. First, it is meant that the tarsus of the new pattern is as distinctly divided into four joints as the normal is into five. In 04 LINEAR HEPKTITION. [iNTROD. addition to this the statement that the varying limb is perfect conveys a number of ideas that cannot be readily formulated ; for mple. that tin- joints are to all appearance properly proportioned and -' -i \ ic. -able, shewing no sign of untitness: they have in fact nnii-li tin- siime appearance as they have in those of the Orthoptera in \\hich tin- tarsus is normally four-jointed. But besides these attributes, which though useful enough for ordinary description are -till in their nature funnies, and of no precise application, th- • mother which in the case of these varying legs we are .-lit it l.-d to make. We have said that these four-jointed tarsi are ill a]i]n arance normal, .save for the number of the joints. Now the niea-iireinents which, at my suggestion, Mr Brindley has been kind enough to make, entitle us to go beyond this, and to assert that tin- tour-jointed tarsus has another character by reason of \\hich it i- actually in a sense a "normal" form. A brief considera- tion of tin- will clearly illustrate the meaning of the term "per- feeiion ' ;iji|,lj,-il to Variation. W'- -aw above that in a monomorphic form, the frequency with which, in respect of any given character, it departs from its mean condition follows a curve of Frequency of Error. This is, indeed, \\hat i- meant by the statement that the mean condition is a normal. Taking the tive-jointed tarsus, measurements shewed that the ratio of the length of any given joint to the length of the whole tarsus varied in this way about a mean value. Measurement of the joint- of the four-jointed form shewed that the ratios which they bear to the total length of their respective tarsi vary in a similar way about their mean values, and that there is thus a "normal" four-jointed conditi< n just as there is a "normal" five- jointed condition. In the .-aiue way, then, that the ratio of the length of e.,e|i of the ti\e joints to that of the whole tarsus is not alua\s identical but exhibits small variations, so the ratios of the ral joints of the four-jointed tareua to the length of the whole tarsus al-o \ar\, but in each case the ratio has a mean value which is approached with a frequency conforming to a curve of Ki .' i s definitely constituted than ive jointed type, and the proportions «,f its several joints oatant. It i- scarcelj accessary to point out that SECT. XL] INTRODUCTION. 65 these facts give no support to the view that the exactness or perfection with which the proportions of the normal form are approached is a consequence of Selection. It appears rather, that there are two possible conditions, the one with five joints and the other with four, either being a position of Organic Stability. Into either of these the tarsus may fall; and though it is still conceivable that the final choice between these two may have been made by Selection, yet it cannot be supposed that the accuracy and com- pleteness with which either condition is assumed is the work of Selection, for the "sport" is as definite as the normal. This interesting case of Meristic Variation in the tarsus of the Cockroach illustrates in a striking way the principle which is perhaps the chief of those to which the Study of Variation at the outset introduces us. We are presented with the phenomenon of an organ existing in two very different states, between which no intermediate has been seen. Each of these states is definite and in a sense perfect and complete ; for the oscillations of the four- jointed form around its mean condition are not more erratic than those of the normal form. Now when it is remembered that just such a four-jointed condition of the tarsus is known as a normal character of many insects and especially of some Orthoptera, it is, I think, difficult to avoid the conclusion that if the four-jointed groups are descended from the five-jointed, the Variation by which this condition arose in them was of the same nature as that seen as an individual Variation in Blatta ; that as the modern pheno- menon of the individual Variation which we see, so that past phenomenon of the birth of a four-jointed race, was definite and complete, and that the change whose history is gone, like the change to be seen to-day, was no gradual process, but a Discon- tinuous and total Variation1. 1 Since this Section was written it has seemed possible that the account given above may be found to need an important modification. It is well known that BUittd, in common with many other Orthoptera, has the power of reproducing the antennae and legs after amputation or injury, and we have made some observations shewing that the tarsi of these regenerated legs sometimes, if not always, contain four joints. The question therefore arises whether the 4-jointed tarsus is a truly congenital variation, and not rather a variation introduced in the process of regeneration, somewhat after the manner of a bud- variation. To determine this point a considerable number of immature specimens were examined, and it was found that the percentage of individuals with 4-jointed tarsi is considerably less in the young than in the adult. These facts lend support to the view that the 4-jointed condition is not congenital. A quantity of individuals were also hatched from the egg-cocoons, and among them there has thus far been found no case of 4-joiuted tarsus. On the other hand the total number thus hatched is not yet sufficient to create any strong probability that none are ever hatched in the 4-joiuted state. We have also seen the 4-joiuted tarsus in three very young in- dividuals, which, to judge from their total length, must have been newly hatched. The statistics shew besides that the abnormality is distinctly commoner in females than in males, and that it is commoner in the legs of the 2nd pair than in the 1st, and much more common in the 3rd pair of legs than in the 2nd. These facts some- what favour the view that the variation may be congenital. It seems also ex- ceedingly improbable that in the specimen with all the tarsi 4-joiuted, the six legs could each have been lost and renewed. There seems on the whole to be a pre- B. 5 66 SEX AND VARIETY. [IXTROD. SECTION XII. 1' \KALI. HI. Hi:i\Vi:iN lUsm.vnXl.TrV nl-'SEX AND DISCONTINUITY ix VARIATION. The application of the term Discontinuity to Variation must n.,t In- misunderstood. It is not intended to affirm that in dis- •inuou- Variation then- ran l»f between the variety and the type no intermediate form, or that none has been known to occur. ;md it is not even necessary for the establishment of Discontinuity ih.it the intermediate forms should be rare relatively to the !„ it., t form of the variety, though in cases of discontinuous Variation this is generally the case: but it is rather meant that tin- perfect form of the variety m- Variations, as, for example, that of the Crab (Cancer ;//•e. -n -aid. -ingle member- of such series may thus inde- pendently an, 1 singly undergo qualitative or Substantive Variation, being treated in tin- ph\-ical sy-tem of the body as though they - -pai-ate units. In Variation, therefore, though it will be • ption tliut the variation may .-it !ea-t smn, .times be congenital. Supposing howe\er Unit tliis -hull lie found hereafter not to be the ease, I do not think that tin- ill- in, -t. Mil- ilniwn fi-,,m the t'ui't-i \vill he less vuliil. The conclusions as to the ileliniteness of the two t\|n^, ;ill>l the Vel :| t ion -h i ] is of the several parts of each il purts of the other, would still hold ^ood. Then- are besides in other I'"' -lee- of similar nuinei ieai Variation, as for example, in the number of joint- in the antenna, of I'rioiiida', where the hypothesis of change on renewal is imp., -sih],.. from which a -imiliir argument ini^ht be drawn; but on the whole I '"^ • i"' as it stands, taking the case of Blntta as an •-ily a, ,-.•— ilile and be.-au-e. from die fewness of the joints roin-i-ini d. tli,- i-siirs are singularly char. ' See Note at tile end of S, etioll XI. SECT, xii.] INTRODUCTION. 67 found that members of Meristic series may vary simultaneously and collectively — and this is one of the most important generaliza- tions which result from the Study of Variation — yet it is also true that in Variation single members of such series may vary independently and behave as though they possessed an " in- dividuality" of their own. If ever it shall be possible t<> form a conception of the physical processes at work in the division and reproduction of organisms, account must be taken of both of these phenomena. I know no way in which the nature of Discontinuity in Varia- tion and the position of intermediate forms may be so well illus- trated as by the closely parallel phenomenon of Sex. In the case of Sex in the higher animals we are familiar with the existence of a race whose members are at least dimorphic, being formed either upon one plan or upon the other, the two plans being in ordinary experience alternative and mutually exclusive. Between these two types, male and female, there are nevertheless found intermediate forms, "hermaphrodites," occurring in the higher animals at least, as great rarities. Now though these inter- mediate forms perhaps exist in gradations sufficiently fine to supply all the steps between male and female, it cannot be supposed that the one sex has been derived from the other, and still less that the various stages of hermaphroditism have been passed through in such Descent. Besides this, even though there is an accurate correspondence or homology between the several organs which are modified upon the one plan in the male and upon another in the female, and though this homology is such as to suggest, were we comparing two species, that the one had been formed from the other, part by part, yet by the nature of the case such a view is here inadmissible : for firstly it is im- possible to suppose that either sex has at any time had the organs of the other in their completeness, and secondly it is clear that any hypothetical common form, by modification of which both may have arisen, must have been indefinitely remote and could certainly not have possessed secondary sexual organs bearing any resemblance to those now seen in the higher forms. All this has often been put, but the application of it to Variation is of considerable value. For in the case of Sex there is an instance of the existence of two normals and of many forms intermediate between them, occurring in a way which precludes the supposition that the intermediates represent stages that have ever occurred in the history of the two forms. In yet another way Sex supplies a parallel to Variation. As we know, the sexes are discontinuous and occur commonly in their total or perfect forms. Now just as members of a Meristic series may present total variations independently of each other, so may single members of such a series present opposite secondary sexual characters, which may nevertheless be in each case complete. 5—2 68 NA'lfHK OF DISCONTINUITY. [iNTROD. The best known instance of this that of gynandromorphic in-e.-ts, in \\hi.-h the characters of the whole or part of one side ..i the l""i\, \vm:,'> and antenna-, are male, while those of the ,,t! e are female. 1 1« •nmrkable instances of a similar pheno- menon have been recorded among bees and will be described later. A- i- u. 11 known, the organs and especially the legs of the sex- f. male* «»r workers are formed differently from those of the dr.. ii.--. but there are cases of individuals having some of the j.ari- and appendages formed on the one plan and some on the other. Thus in these individuals, which are in a sense inter- mediate between workers and drones, the characters of the two mav still be not completely blended, the male type pre- \ailiii:,' in .some parts, and the female in others. In the Dis- continiiit v of Substantive Variation will be found examples of imperfect blending of variety and type closely comparable with tin- <-ase of the imperfect blending of Sex. SECTION XIII. Si GOES! K>NS AS TO THK NATUHE OF DISCONTINUITY IX VARIATION. 'I'ln- ob-.-nations at the end of Section xi, regarding the Dis- .-..iitinuity »f M eristic Variation lead naturally to certain reflexions .1- i.. i In- nature of Discontinuous Variation in general. In the <>t' the < 'orkroaeh tarsus, there given, it appeared that just as the -tnieture of the typical form varies about its mean condition, BO the structure of the \arietv \ ai'ies about another mean condition. Tlii- fa'-t. \\hieh in tin- gi\en instance of Meristic Variation is so dear, at oiicc suggests an in.|iiiry whether this is not the usual coin-.- of Discontinuous Variation, and, indeed, whether Discon- tinuity in Variation docs not mean just this, that in varying the inism passes from a form \\hich is the normal for the type to another form \\lii.-h i- a normal for the \ariety. Such transitions plainly occur in many cases of McHst ic Variation, and in a consider- able number of Sub-taut i\e Variations there will be found to be indication- that the phenomenon is similar. It is true that at the pn - nt stage of the in.|iiiry the .\ idence has the \alue rather of 'i"ii than of proof, but the suggestion is still very decided and it i- scarcely po»ihle to exaggerate the importance of even tin- slender clue. In stating the problem of Species at the ben-inning of this inquiry it \\a- -aid that the forms of living things, as we know them, constitute a di-continuou> series, and it is with the origin "t tin- Discontinuity of the series that the solution of the main pioKlrin is lar-.-K concerned. N.,\v tin- evidence of Discontinuous \anation auggeets that organisms may vary abruptly from the SECT, xiii.] INTRODUCTION. 69 definite form of the type to a form of variety which has also in some measure the character of definiteness. Is it not then possible that the Discontinuity of Species may be a consequence and ex- pression of the Discontinuity of Variation ? To declare at the present time that this is so would be wholly premature, but the suggestion that it is so is strong, and as a possible light on the whole subject should certainly be considered. In view of such a possible solution of one of the chief parts of the problem of Species it will be well to point out a line of inquiry which must in that event be pursued. If it can be shewn that the Discontinuity of Species depends on the Discontinuity of Variation, we shall then have to consider the causes of the Dis- continuity of Variation. Upon the received hypothesis it is supposed that Variation is continuous and that the Discontinuity of Species results from the operation of Selection. For reasons given above (pp. 15 and 10) there is an almost fatal objection in the way of this belief, and it cannot be supposed both that all Variation is continuous and also that the Discontinuity of Species is the result of Selection. With evidence of the Discontinuity of Variation this difficulty would be removed. It will be noted also that it is manifestly impossible to suppose that the perfection of a variety, discontinuously and suddenly occurring, is the result of Selection. No doubt it is conceivable that a race of Tulips having their floral parts in multiples of four might be raised by Selection from a specimen having this character, but it is not possible that the perfection of the nascent variety can have been gradually built up by Selection, for it is, in its very beginning, perfect and symmetrical. And if it may be seen thus clearly that the perfection and Symmetry of a variety is not the work of Selection, this fact raises a serious doubt that perhaps the similar perfection and Symmetry of the type did not owe its origin to Selection either. This consideration of course touches only the part that Selection may have played in the first building up of the type and does not affect the view that the perpetuation of the type once constituted, may have been achieved by Selection. But if the perfection and definiteness of the type is not due to Selection but to the physical limitations under which Variation proceeds, we shall hope hereafter to gain some insight into the nature of these limitations, though in the present state of zoological study the prospect of such progress is small. In the observations which follow I am conscious that the bounds of profitable specu- lation are perhaps exceeded, and I am aware that to many this may seem matter for blame ; but there is, in my judgment, a plausibility in the views put forward, sufficient at least to entitle them to examination. They are put forward in no sense as a formulated theory, but simply as a suggestion for work. It is, besides, only in foreseeing some of the extraordinary possibilities 7l) MKCIIANICAL. [iXTROD. that lie ahead in the Study of Variation, that the great value of tin- in. -th. ..| can be understood. h ha- 1..-OI s.-en that variations may be either Meristic or Sub-taut i\. •. and that in each group discontinuous and definite one may occur by steps which may be integral or total. \\ are imw seeking the factors which determine this totality and .1. tin.- th.- forms assumed in Variation. In this attempt we may, l.v jirl.it tariK confining our first notice to very simple cases, recog- n"i/e at 1. a-t two distinct factors which may possibly be concerned ii, th;- : initiation. Of these the first relates to Meristic at ion and tin- second to Substantive Variation. I. Possible nature of the Discontinuity of Meristic Variation. Looking at simple cases of Meristic Variation, such as that of tin- Tulip or of Aurelia, or of the Cockroach tarsus, there is, I think, a fair sugg( -ii"!» that the definiteness of these variations is deter- mini-'l mechanically , and th&t the patterns into which the tissues of animal- an- divided represent positions in which the forces that . tf.-.-t tin di\i.-ion are in equilibrium. On this view, the lines or plan-- of di\ision would be regarded as lines or planes at right angl. •> t.. tin- directions of the dividing forces; and in the lines of M. ii-tii- ]>i\i-ion we are perhaps actually presented with a map of the lines of tho-e forces of attraction and repulsion which di-tcrmim- th>' number and positions of the repeated parts, and ti-.in ulii.-h Symmetry re.-ults. Jf the Symmetry of a living bod}' \\t-n- tlni- i. '•"•_; ni/. d as of the same nature as that of any sym- ni. nical -\-teiii «'f mechanical forces, the definiteness of the sym- 4 V in. n\ in Meri-tic Variation would call for no special remark, and the \» Tlei-tion of th>- -ymmetry of a Tulip \\ith its parts divided int.. four, though occurring suddenly as a " sport," would be recog- ni/. d a> in nowis.- more sin--nlar than the symmetry of the type. I loth alike would tln-n In seen to owe their perfection to me- dianical condition- and not to Selection or to any other gradual process. It reason for adopting such a view of the physics of l>i\i-ion >hould a|i)iear. the frei|iiency with which in any given l-'im a particular pattern of Division or of Symmetry recurs, \\oiild lie toiind to l.e determined by and to be a measure of the stability of the forces of l)i\ivj,,n \\hen disposed in that particular patt.rn. It will ..f course lie understood that in these" remarks H" !!"ii i- offered as t" the causes \\hich determine whether a tis-.ii.- shall di\id.- into four or into three, but merely as to the Conditions "f pert'. «-t ion ..f the di\ ision iii eit her case. It will also 1" clear that though the symmetry of a flower or of any other tissue depend- a I- -\ minelrical gr.. \\tli, it is primarily dependent on tin- -\miiietn of its primary di\isions. ujion which symmetrical ;ji..uili and -econdary sy nniiet rical di\i-ions follow. SECT. XIIL] INTRODUCTION. 71 It would be interesting and I believe profitable to examine somewhat further the curiously close analogy between the sym- metry of bodily Division and that of certain mechanical systems by which close imitations both of linear and of radial segmentation can be produced ; and though to some this might seem overdaring, the possibility that the mechanics of bodily Division are in their visible form of an unsuspected simplicity is so far-reaching that it would be well to use any means which may lead others to ex- plore it. And even if at last this suggestion shall be found to have in it no other element of truth, it would still be of use as a forcible presentation of the fact, which when realized can hardly be doubted, that among the factors which combine to form a living body, the forces of Division may be distinguished as in their mani- festations separable from the rest and forming a definite group. For, already (Section v.) it has been pointed out that the patterns of Division or Merism may be changed, while the Substance of the tissues presents to our senses no difference. The recognition of this essential distinctness of the Meristic forces will, I believe, be found to supply the base from which the mechanics of growth will hereafter be attacked. The problems of Morphology will thus determine themselves into problems in the physiology of Division, which must be recognized together with Nutrition, Respiration and Metabolism, as a fundamental property of living protoplasm. To sum up : there is a possibility that Meristic Division may be a strictly mechanical phenomenon, and that the perfection and Symmetry of the process, whether in type or in variety, may be an expression of the fact that the forms of the type or of the variety represent positions in which the forces of Division are in a condition of Mechanical Stability. 2. Possible nature of the Discontinuity of Substantive Variation. Passing from the phenomena of Division and arrangement to those of constitution or substance we are, as has been said, again presented with the phenomenon of discontinuous or total Varia- tion, and we must seek for causes which may perhaps govern and limit this totality, and in obedience to which the Variation is thus definite. Now as in the case of Meristic Variation, by arbitrarily limiting the examination to those cases which seem the simplest it appears that there is at least an analogy be- tween them and certain mechanical phenomena, so by similarly restricting ourselves to very simple cases there will be seen to be a similar analogy between the discontinuity of some Sub- stantive Variations and that of chemical discontinuity. It is on the whole not unreasonable to expect that the definiteness of at least some Substantive Variations depends ultimately on the discontinuity of chemical affinities. To take but one instance, 72 CHEMICAL. [IXTROD. that of colour, we are familiar with the fact that the colours of many organic substances und.-rg.. definite changes when chemi- 1 on by reagents, and it is not suggested that the d. Unite,,, .ss and discontinuity of the various colours assumed is dependent on anything but the defiriiteness of the chemical changes undergone. The changes of litmus and many vegetable blues to red on treatment with acids, of many vegetable yellows i.rown on treatment with alkalies, the colours of the series of Udies produced by the progressive oxidation of bihverdm are tamiliar examples of such definite colour-variations. \\ ith facts of this kind in view, the conclusion is almost • I on us that the definiteness of colour-variation is a conse- quence of the defiuiteness of the chemical changes undergone. \ one doubts that the orange colouring matter of the variety the Iceland Poppy (P. midicaule) is a chemical derivative from the yellow colouring matter of the type. It is not ques- tioned that in such cases a definite alteration in the chemical conditions in which the pigment is produced determines whether tli.- llow.T shall be orange or yellow; and I think it is reasonable to i that the frequency with which the flowers are either ;..\\ or orange as compared with the rarity of the intermediate >|,;. ,11 expression of the fact that the yellow and orange forms bhe colouring matter have a greater chemical stability than the int. iin.ili.it> forms of the pigment, or than a mixture of the two If then it should happen, as we may fairly suppose it illicit, that the orange form were to be selected and established as it would owe the definiteness of its orange colour and tin- ]>ivri>i.>n of its tint, not to the precision with which Selection had eh"s.-n this part ienlar tint, but to the chemical discontinuity of \\liidi th. . .li-inally di-i-oiit innous Variation was the expression. To |':i~-- troin ili.- case of a sport to that of Species, it is well known that of the many S. African butterflies of the genus /.' * J ntlinclni /•/>-, < )range-tips). some have the apices or tips of th.- foiv -\\in-s orange-red (tor example, E. danae), while in othe^ th'-y are purple (tor example, /•,'. lone}. Upon the -s that tin- transition from orange to purple, or vice versa, had li.-. n e.nit innoiisly effected liy 1 he successive Selection of niinutf \ariatioii-. \\.- arc met by all tin.- difficulties we know so \\i-ll. \Vhy is pnrplr a - I colmir for this creature ? If purple i-~ a ^on.l c..lonr and n-d i> a -oml culmir. ho\v did it happen that at -omr tini.' or other all tin- intermediate shades were also good .•ii-H-h to ha\e been selected? and so on. These and all the grnate ilith'cnlti.- are o|»-n.'d up at once, and though they have l»'ii met iii the fa-hion we know, they have scarcely been over- come. Hut at tin- outset thU view assumes that every inter- ini-diate may e\i>t and has existed, an assumption which is ituit'.iis and hardly in armrdanre with the known fact that eh. miral \ame problem which we meet in Variation, namely, changes whi.-h may be complete or specific, though occurring so suddenly \clmle the hypothesis that Selection has been the limiting cause. All this is" familiar to everyone who has considered the |n-< .Kit -in of Species. For though, like discontinuous variations, the manifestations ..t' -p--eiiic disease are not always identical, but differ in intensity ami d' arying about a normal form, still these manifestations inav b.- -p--citic iu the sense in which the term is used with reference to the rharai-t'Ts of Species. If we exclude those diseases whose -p'-ejtie characters are now known to be the result of the invasion . .t' -p.-citic or^ani-ms, there still remain very many which are known and rece,_rni/ed l»v definite and specific symptoms produced in the l>"dv. though thne is as yet no evidence that they are due to specific organisms. [Of cour.-e it' it were shewn that these diseases also result from tin- action of specific organisms, they then only pre-.-nt to H- aijain tin- original problem of Species ; for if the iie-- or Specie-, of a disease is due to the definiteness, or . ,,f th.- micro-organism which causes it, the cause of that of the 1 1 1 ji To-or^ai iisi ii remains to be sought, and we are -imply left with a particular case of the general problem of Specie-.) Mut in the meantiuir we can see that the manifestations specific : ami while \v do not know that they result from causes themselves -pe-'jtic, the nature of the control in obedience to which tip -pecitic is unknown. The parallel between disease and Variation may be mis- leading, l.ut this much at leasl may fairly be learned from it: that the -y-t,-m of an organixed being is such that the result of its disturbance may lie specific. And in the end it may well be that the prolilem of Species will be solved by the study of pathology: tor the likene-,-, between Variation and disease goes far to Mipptu-t th.- view which Yirchow has forcibly expressed, that " every deviation from the type of the parent animal must have it-, foundation on a path .logical accident1." 1 11. Vn:«. llu\v, Ji.iirn-il <•/ l'ittll'>;iy, I. 1892, p. 1'2. SECT, xiv.] INTRODUCTION. 75 SECTION XIV. SOME CURRENT CONCEPTIONS OF BlOLOGY IN VIEW OF THE FACTS OF VARIATION. Enough has now been said to explain the aim of the Stud\ of Variation, and to shew the propriety of the choice of the facts of Meristic Variation as a point of departure for that study. Before leaving this preliminary consideration, reference to some cognate subjects must be made. It has been shewn that in view of the facts of Variation, some conceptions of modern Morphology must be modified, while others must be abandoned. With the recognition of the sig- nificance of the phenomena of Variation, other conceptions of biology will undergo like modifications. As to some of these a few words are now required, if only to explain methods adopted in this work. 1. Heredity. It has been the custom of those who have treated the subject of Evolution to speak of " Heredity " and " Variation " as two antagonistic principles ; sometimes even they are spoken of as opposing "forces." With the Study of Variation, such a description of the pro- cesses of Descent will be given up, even as a manner of speaking. In what has gone before I have as far as possible avoided any use of the terms Heredity and Inheritance. These terms which have taken so firm a hold on science and on the popular fancy, have had a mischievous influence on the development of bio- logical thought. They are of course metaphors from the descent of property, and were applied to organic Descent in a time when the nature of the process of reproduction was wholly mis- understood. This metaphor from the descent of property is inadequate chiefly for two reasons. First, by emphasizing the fact that the organization of the offspring depends on material transmitted to it by its parents, the metaphor of Heredity, through an almost inevitable confusion of thought, suggests the idea that the actual body and consti- tution of the parent are thus in some way handed on. No one perhaps would now state the facts in this way, but something very like this material view of Descent was indeed actually de- veloped into Darwin's Theory of Pangenesis. From this sugges- tion that the body of the parent is in some sort remodelled into that of the offspring, a whole series of errors are derived. Chief among these is the assumption that Variation must necessarily be a continuous process ; for with the body of the parent to start from, it is hard to conceive the occurrence of discontinuous change. Of the deadlock which has resulted from the attempt 7 '""' '"''.v conceivably have been ancestral, the same supposed of all, for their forms are mutually exclusive. Veronica bwbatunii, for instance, are many symmetrical having two posterior petals, like those of other Scrophu- these may reasonably be supposed to be ancestral but SECT, xiv.] INTRODUCTION. 77 if this supposition is made, it cannot be made again for the equally perfect forms with three petals, and the rest1. The hypothesis of Reversion to account for the Symmetry and perfection of modern or discontinuous Variation is made through a total misconception of the nature of Symmetry. There is a famous passage in the Descent of Man, in which Darwin argues that the phenomenon of double uterus, from its perfection, must necessarily be a Reversion. "In other and rarer cases, two distinct uterine cavities are formed, each having its proper orifice and passage. No such stage is passed through during the ordinary development of the embryo, and it is difficult to believe, though perhaps not impossible, that the two simple, minute, primitive tubes could know how (if such an expression may be used) to grow into two distinct uteri, each with a well- constructed orifice and passage, and each furnished with numerous muscles, nerves, glands and vessels, if they had not formerly passed through a similar course of development, as in the case of existing marsupials. No one will pretend that so perfect a structure as the abnormal double uterus in woman could be the result of mere chance. But the principle of reversion, by which long-lost dormant structures are called back into existence, might serve as the guide for the full development of the organ, even after the lapse of an enormous interval of time-." fiescent of Man, vol. i. pp. 123 and 1'24. This kind of reasoning has been used by others again and again. It is of course quite inadmissible ; for by identical reason- ing from the perfect symmetry of double monsters, of the single eye of the Cyclopian monster, and so on, it might be shewn that Man is descended from a primitive double vertebrate, from a one-eyed Cyclops and the like. For other reasons it is likely enough that double uterus was a primitive form ; but the per- fection and symmetry of the modern variation to this form is neither proof nor indication of such an origin. Such a belief arises from want of knowledge of the facts of Meristic Variation, and is founded on a wrong conception of the nature of symmetry and of the mechanics of Division. The study of Variation shews that it is a common occurrence for a part which stands in the middle line of a bilaterally symmetrical animal, to divide into two parts, each being an optical image of the other: and that conversely, parts which normally are double, standing as optical images of each other on either side of such a middle line may 1 For a full account of such facts, see a paper by Miss A. BATESON and myself On Variations in P'loral Symmetry. Journ. Linn. Soc., xxvui. p. 386. • This extraordinary passage is scarcely worthy of Darwin's penetration. If read in the original connexion it will seem strange that it should have been allowed to stand. For in a note to these reflexions on Reversion (Descent, i. p. 125) Darwin refers to and withdraws his previously expressed view that supernumerary digits and mamrnse were to be regarded as reversions. This view had been based on the perfection and symmetry with which these variations reproduce the structure of putative ancestors. It was withdrawn because Gegenbaur had shewn that poly- dactyle limbs often bear no resemblance to those of possible ancestors, and because extra mammae may not only occur symmetrically and in places where they are normal in other forms, but also in several quite anomalous situations. In the light of this knowledge it is strange that Darwin should have continued to regard the perfection and symmetry of a variation as evidence that it is a Reversion. 78 CAUSES OF VARIATION. [iNTROD. be compounded together in the middle line forming a single, -\ mnietrical organ. I- would probably help the science of Biology if the word 1;. . raion' and the- ideas which it denotes, were wholly dropped, uts until Variation has been studied much more fully than it has yet been. In the "light of what we now know of the process of repro- duction the phrase is almost meaningless. We suppose that a tin stock gives off a number of individuals which vary about a normal; and that after having given them off, it begins to pve ..IV individuals varying about another normal. We want saj that among these it now and then gives off one which approaches the first normal, that shooting at the new mark it n..\\ and th.-n hits the old one. But all that we know is that now and then it shoots wide and hits another mark, and we assume from this that it would n<»t have hit it if it had not aimed at it in a bvgone age. To apply this to any other matter \\onld be ab-urd. '\\V might as well say that a bubble would 1..- r-niiid if the air in it had not learned the trick of round- nesfi bv having been in a bubble before: that if in a bag after pulling '"it a lot of white balls I find a totally red one, this pn. M-.S that the bag must have once been full of red balls, or that tin- \\hite ones must all have been red in the past. lie-id.--, tli.- logical absurdity on which this use of the theory ot' Reversion rests, the application of it to the facts of Variation bp-ak- d'.un again and again. I have already mentioned some cases of this, but there are many others of a different class. For in-tan.-.-, it will be shewn that the percentage of extra molars in the Anthropoid A p.-- is almost the highest reached among mammals. On the usual interpretation, such teeth are due to Ke\. -i-sioii to an ancestral condition with 4 molars, and on less evidence it ha- been argued that a form frequently shewing such |;< \ersion " is older than those which do not. From this reason- in:; it ,-hould follow that the Anthropoids are the most primitive form, at lea-t ..f monkeys. It is surely time that these brilliant and facile deduction- were no more made in the name of science. .'{. CtlUXi'S of Vi. [nquiry into the cau-es ,,f Variation is as yet, in my judgment, premature. \. Tin' \'f " useless " Structures. The often-repeated -latemeiit that " useless " parts are .-pecially \ariable. finds little support in the tacts of Variation, • pt in a- far a- it i- a misrepresent at ion of another principle. Th. examples taken to support- this statement are commonly m- -landing at the end of a Meristic Series of parts, in which SECT, xiv.] INTRODUCTION. 79 there is a progression or increase of size and degree of development, starting from a small terminal member. In such cases, as that of the last rib in Man, and several other animals, the wisdom-teeth of Man, etc., it is quite true that in the terminal member Variation is more noticeable than it is in the other members. This is, I believe, a consequence of the mechanics of Division, and has no connexion with the fact that the functions of such terminal parts are often trifling. Upon this subject something will be said later on, but perhaps a rough illustration may make the meaning more clear at this stage. If a spindle-shaped loaf of bread, such as a "twist," be divided with three cuts taken at equal distances, in such a way that the two end pieces are much shorter than the middle ones, to a child who gets one of the two large middle pieces the contour-curves of the loaf will not matter so much ; but to a child who gets one of the small end bits, a very slight altera- tion in the curves of the loaf will make the difference between a fair-sized bit and almost nothing, a difference which the child will perceive much more readily than the complementary difference in the large pieces will be seen by the others. An error in some measure comparable with this is probably at the bottom of the statement that useless parts are variable, but of course there are many examples, as the pinna of the human ear, which are of a different nature. It is unnecessary to say that for any such case in which a part, apparently useless, is variable, another can be produced in which some capital organ is also variable ; and conversely, that for any case of a capital organ which is little subject to Variation can be produced a case of an organ, which though trifling and seemingly " useless," is equally constant. With a knowledge of the facts of Variation, all these trite generali- ties will be forgotten. 5. Adaptation. In examining cases of Variation, I have not thought it neces- sary to speculate on the usefulness or harmfulness of the variations described. For reasons given in Section II, such speculation, whether applied to normal structures, or to Variation, is barren and profitless. If any one is curious on these questions of Adaptation, he may easily thus exercise his imagination. In any case of Variation there are a hundred ways in which it may be beneficial, or detrimental. For instance, if the " hairy " variety of the moor- hen became established on an island, as many strange varieties have been, I do not doubt that ingenious persons would invite us to see how the hairiness fitted the bird in some special way for life in that island in particular. Their contention would be hard to deny, for on this class of speculation the only limitations are those of the ingenuity of the author. While the only test of utility is the success of the organism, even this does not indicate the utility -'i NATURAL SELECTION. [iNTROD. ]>art of the economy, but rather the nett fitness of the whole. b'. \'i> 'rid Selection. In the view of the phenomena of Variation here outlined, then- is nothing which is in any way opposed to the theory of the on-m .it' Species " l>v means of Natural Selection, or the preserva- ii' MI that they become appreciable to us and constitute a varia- tioii \vhi--h is evident to our senses1." For the crude belief that living In ings are plastic conglomerates of miscellaneous attributes, and that order of form or Symmetry have been impressed upon this medley by Selection alone ; and that by Variation any of these at tributes may be subtracted or any other attribute added in indefinite proportion, is a fancy which the Study of Variation does not support. II re t hi- [introduction must end. As a sketch of a part of the phenomena of Variation, it has no value except in so far as it may I. 'ail some to study those phenomena. That the study of Variation i-< tin- pi-op'-r field for the development of biology there can be no doubt. It i- -i-an-ely too much to say that the study of Variation I" ars to the M'lence of Evolution a relation somewhat comparable with thai \\hidi the study of affinities and reactions bears to the science of <-henii-tr\ : tm- \\e mi;_dil almost as well seek for the "ii-in of chemical bodies by the comparative study of crystallo- I'liy. a- tor i he origin of living bodies by a comparative study of normal f'.irm-. ' I,..,, 1: ,,i' /.,<,,lnnii. Si 'il^'wirk and 1 1 t'litlicote's English translation, vol. i. ]'• 'Is- In tlir .'ri'.'iiml tlir passage run* : "erst (//.• iiiitiirlich,- Zitchtwnlil hiiuft IIIK! i; i^i'irl.i j,-n, Mnr.-i.-liimnfn in ,1,'m .V,;.s-.s-,- dn sit .-•/.• fiir mi* wakmehmbar ic,r,l:ii mi. I .•in.' in .1 . \n ,11 fall, nil.' Vaiiatmii In wirkcn." C. CLAUS, Lfhrb. d. . 1 '1 2, I--.:. |i. l-JT, :in.l <,run,l;':i,- Zooloiiic, 1880, Bd. I. p. 90. The itali.-s arc in the m i^inal. PAET I. MERISTIC VARIATION. B. CHAPTER I. ARRANGEMENT OF EVIDENCE. THE cases of Meristic Variation, here given, illustrate only a small part of the subject. The principles upon which these have been chosen may be briefly explained. It was originally intended to give samples of the evidence relating to as many different parts of the subject as possible, so that the ground to be eventually covered might be mapped out, leaving the separate sections of evidence to be amplified as observations accumulate. This plan would be the most logical and perhaps in the end the most useful, but for several reasons it has been abandoned. I have chosen a different course, first, because during the progress of the work opportunities occurred for developing special parts of the evidence; second^, since isolated observations have no interest for most persons, it is more likely that the importance of the subject will be appreciated in a fuller treatment of special sections, than in a general view of the whole ; and lastly, because as yet the attempt to make an orderly or logical classification of the phenomena of Merism, however attractive, must be so imperfect as to be almost worthless. For these reasons I have decided to treat more fully a few sections of the facts, hoping that in the course of time similar treatment may be applied to other sections also. The sections have been chosen either because there is a fairly large body of evidence relating to them, or on account of the importance or novelty of the principles illustrated. As far as possible I have described each case separately, in terms applicable specially to it, deductions or criticism being kept apart. The descriptions are written as if for an imaginary cata- logue of a Museum in which the objects might be displayed1. This system, though it entails repetition, has, I believe, advantages which cannot be attained when the descriptions are given in a comprehensive and continuous form. In speaking of subjects, such as supernumerary mammae, or cervical fistula?, where the evidence has been exhaustively treated by others, and upon which I can add nothing, it has not seemed necessary to follow this system, and in such cases connected abstracts are given. 1 Cases of special importance are marked by an asterisk. 6—2 84 M ERISTIC VARIATION. [PART i. As the evidence here presented consists, as yet, only of speci- men chapters in the Natural History of Meristic Variation, and does not offer any comprehensive view of the whole subject, no --itiration of the facts is attempted. The evidence of :c Variation relates essentially to the manner in which changes occur in the number of members in Meristic series. Such numerical changes may come about in two ways, which are in some respects distinct from each other. For instance, the number of legs .m. I body-segments in Peripatns edwardsii varies from 29 to 341: In !•• the variation in number must be a manifestation of an original difference in the manner of division or segmentation in tin- progress of development. The change is strictly Meristic or di\ isional. On the other hand, change in number may arise by tli.- Substantive Variation of members of a Meristic series already c. -n-tituted. For example, the evidence will shew that the number of oviducal openings in Astacus may be increased from one I ..ii i to two or even three pairs. Here the numerical variation has come :il..iiit through the assumption by the penultimate and last th.-racic appendages, of a character typically proper to the append- - .if the antepenultimate segment of the thorax alone. \ow then- i-, h.-re no change in the number of segments composing the Meristic series, but by Substantive Variation the number of op oings lias been increased. The case of the modification of the antenna of an insect into a to..!. - if the eye of a Crustacean into an antenna, of a petal into a stamen, and the like, are examples of the same kind. It is desirable and indeed necessary that such Variations, \vhi.-h con-i-i in the assumption by one member of a Meristic aeries, of th,- form or characters proper to other members of the - ries, should be recognized as constituting a distinct group of phenomena. In the case of plants such Variation is very common and is one "f the ino-t familiar forms of abnormality. MASTERS, in his t r.-at is.- mi Ve^-.-iahie Teratology-, recognizes this phenomenon and gives to ii th<- name •• .M etam< >r| ih v," adopting the word from i '"•• ' D< A- Masters says, so long as it is only proposed to use the \\oid m Teratology, no great coiifu.sioii need arise from the fact' that the s.-,ine term and its deri\afi\es are used in a different Jense in several branches of Natural History. Hut if, as I hope, 'he time has come \\lien the facts of \\ hat has been called " Tera- \\ill be admitted to their proper place in the Study of Variation, this contusion is ine\itable. In this study, besides, this I'.-iitn-iilar kind of \ariation will be found to be especially impor- l;"it -'"id 1 believe that in the future its significance and the mode of its occurrence \\i|] become an object of high interest. For this reason it is desirable that the term which denotes it should not lead to misunderstanding, and I think a new term is demanded. WI( i.. \.. ',»""'•'. Jour. .V/.T. N.-i.. 1 sss, \\vin. p. 4i'>7. i B8, M. I'.. l'.:i,tl,>. •_':;•!. CHAP, i.] ARRANGEMENT OF EVIDENCE. 85 For the word 'Metamorphy' I therefore propose to substitute tin- term Homoeosis, which is also more correct ; for the essential phenomenon is not that there has merely been a change, but that something has been changed into the likeness of something else. In the cases given above, the distinction between Homoeotic Variation and strictly Meristic Variation is sufficiently obvious, but many numerical changes occur which cannot be referred with certainty to the one class rather than to the other. Such cases are for the most part seen in Vertebrates : for in them what may be called the fundamental numbers of the segments are not consti- tuted with the definiteness found in Arthropods or in the Annelids, and several Meristic series of organs are disposed in numbers and positions independent of, or at least having no obvious relation to those of the other Meristic series. The number and positions of mammae, or stripes, for instance, need not bear any visible relation to the segmentation of the vertebrae &c. The repetition of mem- bers of such a series may thus not coincide with, or occur in mul- tiples of the segmentation of other parts in the same region. When such is the case, when the segmentation of one series of organs bears no simple or constant geometrical relation to the segmenta- tion of other systems, it is not always possible to declare whether a numerical change in one of the systems of organs belongs properly to the first or the second of the classes described above. It is likely enough that in such a case as that of mamma?, there may sometimes be an actual Meristic division and subsequent separation of the tissues already destined to form the mammae, occurring in such a way that each comes to take up its final position, and indeed the numerous cases in which such division has been imperfectly effected go far to prove that this is the case. But, on the other hand, it is not possible to know that the division did not occur before any tissue was specially differentiated off to form mammas, and that the separation may be as old even as the division of the mammae of the right side from those of the left, a process which almost beyond question occurs in the segmentation of the ovum. The distinction between these two alternatives is thus one rather of degree than of kind, and it is only in such forms as the Arthropods, the floral organs of some Phanerogams and the like, where the members of the several Meristic series have definite numbers, or coincide with each other, that this distinction is easily recognized. For this reason I do not think it well to attempt to carry out any classification of the evidence based on this dis- tinction. In the foregoing remarks I am aware that a very large question, which lies at the root of all accurate study of Meristic Variation, has been passed over somewhat superficially, but I scarcely think a fuller treatment possible in the present state of knowledge of the physics of Division, and in the absence of thorough observation of the developmental history of those tissues which ultimately 8G M ERISTIC VARIATION. [PART i. become differentiated to form members of such non-coincident or iii-1. -p. -inli-iit Meristic series. S. ,m.- \.-irsago1, in the course of an argument that Balanoglossus -In. ul. I b.-'eon-id.-red as representing some of tlie ancestral characters • •I ' • ..rd.ita, I had occasion to refer to some of these difficulties, and •••iallv ti, tin- dim-rent characters of the two kinds of segmentation : tli.it i-f t'he Annelids, in which the repetitions of the organs belonging t.. tli.- -.\eral systems are coincident, and, on the other hand, that the Chordata, for example, in whicli this coincidence may be irregular or partial. At tliat time I was of opinion that these t\s<. •f segmentation may, in certain cases, have had a different plr. ic history, and have resulted from processes essentially '. It appeared to me that we should recognize that, in the Amu-lids on the one hand, segmentation of the various systems of organs had been coincident from the beginning, while in the Chordata tin- -egmentation had been progressive and had arisen by segmentation <>r repetition of the organs of the several systems independently. The for this view were derived chieHy from the fact that it is il.lt- to arrange the lower Chordata in order of progressive segmen- tation ,,f the several systems. In particular such treatment was shewn to }>•• applicable to the central nervous system, the vertebral column and tin- iiii->ol)lastic somites, and in these cases it was maintained that tin- e\ i.|. -nee of the lower forms of Chordata goes to shew that segmen- tati.m had occurred in these systems one after another, and that their •Mentation was not derived from a form having a complete repetition H-li part in each segment: that these forms, in fact, shewed us the history . .f this progress from a less segmented form to one more fully segmented. Tin- \i.-us tlien s.-t forth have met with little acceptance. Those \\lni an- occupied with the search for the pedigree of Vertebrates still direct their in.. • nn-ii tbers of the series are not homologous, but the /•-///// liniimlniiniis parts of each member or segment form a .iltfi-iKitinff with each other. For example, the anti-ri'T and posterior -ur faces of such a series of segments may he n-pr. -. -nt.-d 1'V th.- .-.TICS J ,AP,AP,AP, P. 'I'll.- relation of an\ jiair .if organs in Bilateral Symmetry differs tV"in thi-. for in that case ""•/< ///>'////«-/• of the pair presents to its I'l'llnir ' li«iiiiiK //'it/I those which its /'»•//.,//• y/rr.N»-/(/.s- in it. <"ir/, l,,in;l, in xt rurf H fC it ml position, an ujttii-nl mi'i'K "f t/ir "flier. Tht- rxtt-rnal and internal surfaces of >in-h a pair may tht.-ivti>iv In- i-rjirrM-nti-d thus: /: /. i K. If tin- maniit-r «•!' origin of tlu-s<- two kinds of Repetition be considered, il \\ill !»<• seen that though both result from a process • •I' I >i\ ision, yet the niann.-r of l>i\ision in the two cases is verv ditVi-n-nt. F..I- in tin- case of division to form a paired st nu-t lire, tip- pi OCCUn in >urh a way a- to t'"rin ;1 pair of images, ot uhidi similar and homologous parts ]j,. ,,n raeh side of the plane of division ; \\hile.in the toi-mation ..('a chain of successive ments, each |>lane «.f divi-ion pa^-es li.-tween parts which are dis-iiiiilar, and \\h«>>e !ioinol«.gy is alternate. The distinction 11 the-e tw.i kinds of l)i\ivion is of course an expression of the ta.-t that the at t raet ioi,s and repnUion> from which Division CHAP, i.] ARRANGEMENT OF EVIDENCE. 89 results are differently disposed in the two cases. It is further to be observed that the distinction, though striking, is nevertheless one of degree, for the two kinds of Division pass gradually into each other. By one or other of these two modes, or by a combin- ation of both, all Meristic Series of Repetitions are formed. In Radial series, the Major Symmetry is built up by radial divisions of the first kind, producing segments whose adjacent parts are homologous, and related to each other as images. Each of these segments is therefore bilaterally symmetrical about a radial plane. There is no succession between the segments, and in a perfectly symmetrical series, Successive or Linear repetitions can only occur in Minor Systems of Symmetry. The considerations here set forth, though well known, have an importance in the interpretation of the evidence, for the connexion between the geometrical relations of organs and their Meristic Variations is intimate. An arrangement of the facts with reference to these geometrical relations cannot, of course, be absolute, for it is clear that a Bilateral Symmetry, containing Linear Repetitions may be derived from a Radial Symmetry, and that these figures cannot be precisely delimited from each other ; nevertheless this plan of arrangement has still several advantages. Chief among these is this : that it brings out and emphasizes the fact that the possible, or at least the probable Meristic Variations of such parts depend closely on the geometrical relation in which they stand. This is, perhaps, in a word, the first great deduction from the facts of Meristic Variation. The capacity for, and manner of Meristic Variation appear to depend not on the physiological nature of the part, on the system to which it belongs, on the habits of the organism, on the needs or exigencies of its life, but on this fact of the geometrical position of the parts concerned. Linear series are liable to certain sorts of Variation, Bilateral Series are liable to other sorts of Variation, and Radial Series to others again. As I have ventured to hint before, the importance of all this lies in the glimpse which is thus afforded us of the essential nature of Meristic Division and Repetition. Such interdependence between the geometrical re- lations, or pattern, in which a part stands, and the kinds of Variation of which it is capable, is, I think, a strong indication that in Meristic Division we are dealing with a phenomenon which in its essential nature is mechanical. Since this is a thing of the highest importance, it will be useful to employ a system which shall give it full expression. Evidence as to Meristic Variation in cell-division and in the segmentation of ova will be spoken of in connexion with the Varia- tion of Radial and Bilateral series. The second section of evidence is less immediately relevant to the problem of Species; nevertheless it bears so closely on the nature of Merism and on the mechanics of Physiological Division, 90 M ERISTIC VARIATION. [PART I. th.it in any study of this subject reference to it cannot be omitted. 'I'll-- t-vidt-nce in question relates first to abnormal repetition of liinl>- MI- other peripheral structures, (which in the normal form are ipi-d into and form part of a system of Symmetry,) such ab- normal n-pftitions occurring in such a way as to lie outside this /"./•//oil xi/sti-in of Symmetry and unbalanced by any parts within 1 phenomenon occurs in many forms, especially in bilateral animals, and may be exceptionally well studied in the case of -npernunirrary limbs in Insects and in supernumerary chel* in < 'iabs and Lobsters. It will be shewn that such extra parts ••rally, it' not always, make up a Secondary system of Symmetry in themselves ; and the way in which such a • Hilary system is related to the normal or Primary system of Symmetry of the body from which they spring, constitutes an iiiMrnrthv chapter in the study of Meristic Variation. M"H- .-.\ tensive repetitions of this class, when affecting the axial parts "t the body, give rise to the well-known Double and Tri|>k Mi.n-ti-rs. which, as has often been said, reproduce in the higher animals phenomena which, under the name of fission, are commonly seen in th<- lower forms. The general evidence as to tln-M- abnormalities is so accessible and familiar that it need !>• di-taili-d ln-iv, and it will therefore be enough to give an iH- of ii> chief fi'atuivs and to point out the bearing of this • •la— - of rvid.'iiri- mi tlii- -ul)jf<-t of Meristic Variation in general. CHAPTER II. MERISTIC VARIATION OF PARTS REPEATED IN LINEAR OR SUCCESSIVE SERIES. SEGMENTS OF ARTHROPODA. INDIVIDUAL Variation in the fundamental number of members constituting a Linear Series of segments can only be recognized in those forms which at some definite stage in their existence cease to add to the number of the series. Hence in a large proportion of the more fully segmented invertebrates this phenomenon cannot be studied, for in many of these, as for instance in Chilognatha, and in most of the Chsetopoda the formation of new segments is not known to cease at any period of life, but seems to continue in- definitely. On the other hand, while in Insecta, and in Crustacea excepting the Phyllopods, the fundamental numbers are definite, no case of individual Variation in them has been observed. Between these two extremes, there are animals in certain classes, for example, Peripatus, some of the Chilopoda among Myriapods, Aphroditidse among Annelids, and some of the Bran- chiopoda among Crustacea, in which the number of segments does not increase indefinitely during life, but is nevertheless not so immutable as in the Insects and the majority of Crustacea. In the forms mentioned, certain numbers of segments, though not the same for the whole family, are characteristic of certain genera, as in the case of the Chilopoda (excepting Geophilidre), or of certain species, as in some of the Peripati. But besides this, in some of the forms named, e.g., the Geophili and Peripatus edwardsii, indi- vidual Variation has been recorded among members of the same species. It is unfortunate that for many of the forms in which Variation of this kind possibly takes place, no sufficient observa- tion on the point has been made, but as examples of a phenomenon which, on any hypothesis, must have played a chief part in the evolution of these animals, the few available instances are of in- terest. *1. Peripatus. The number of segments which have claw-bearing ambulatory legs differs in different species of this genus. While, 92 MKKI-TIC VARIATION. [PART i. inoi, o\, T, in some of the species the number appears to be 'very con-taut tin- tin- -peejes, in the case of others, great individual \ai iation i- -een to oerur. SEDOWICK*8 observations in the caseof /' 1,1,1;! /-'1 1 1 -he\\ conclusively that these variations cannot be a- ribed t,. difference in age. There is besides no ground for sup- po-ing that iii'Tease in the number of legs occurs in any species after birth, and it i>- in fact practically certain that this is not the case. In Pi'n'jHitus cupensis, which was exhaustively studied by S. cl_-\\ i.-k, the appendages arise- in the embryo successively from before backwards the most posterior being the last to appear, and til-- full nu i niter is reached when the embryo arrives at Sedgwick's Stage (I. The following is taken from the list constructed by S.-dgui''k t'r«>m all sources, including his own observations. As tin- bibliography given by him is complete and easily accessible it is not repeated here, and the reader is referred to Sedgwick's monograph for reference to the original authorities. SI;IM;WICK, A., Qiutrt. Jour. Micr. Sci. XXVIIL, 1888, pp. 431- 4!i:i. Plates. i A Kim AN SPECIES. /'. capensis: 17 pairs of claw-bearing ambulatory legs (Table Mountain. S. Africa ). /'. l>nl t',,11,-1 : is pairs of legs, of which the last pair is rudiment- ary (Table Mountain. S. Africa i. Sei|g\vi,-k ha- ••\ainined more than 1000 specimens from the ('ape. and ha- only seen one specimen with more than 1 and in certain other details (q. v.); Sedgwick regarded this form provisionally as a \ariety of P. Imlfmiri. I', mosleyi: '2\ and :>:> pairs of legs : near AVilliamstown, S. Africa. The specimens with '2'2 legs w«-re two in number and were both females. They differed in certain other particulars from the form with i^l le->. but on the whole Sedgwick regards them as a Variety ..I' t he- >ame species. /'. brevis i I>K ULAINVII. 1,1:1: 14 jiairs of legs. (This species not II b\ Sedgwick.) ()thei- species In-m S. Africa which have been less fully studied are stat.-d to ha\e lit, ^1 ;m,l -2-2 pairs ..f legs respectively." In all South African forms, irrespective of the number of legs, 'he generative opening is subterminal and is placed behind the la-t pair of fully developed legs (between the l.sth or rudimentary pair iii /'. l>nt/nin i). SI-.I.CWICK. j»p. 440 and 4.~>1. ArsruAi.. \SIAN Sn:cii:s. P. novcB-tealandias, 1"> pairs of legs. New Zealand. P. leuckartii, \"> \>-.i\r <>\' legs. (Queensland. Ill both o| these speeles tile geliel-ative opening IS between tile last pair of leg-. < SKIXJWICK. p. 4sc. i CHAP. II.] SEGMENTS OF ARTHROPODA. 93 NEOTROPICAL SPECIES. In all the Neotropical Species which have been at all fully ex- amined, the number of legs varies among individuals of the same species. P. edwardsii: number of pairs of legs variable, the smallest number being 29 pairs, and the greatest number being 34. Males with 29 and 30 pairs of legs. The females are larger, and have a greater number of legs than the males. The new-born young differ in the same way. From 4 females each having 29 legs, seven embryos were taken which were practi- cally fully developed. Of these, 4 had 29 legs, 2 had 34, 1 had 32. An embryo with 29 ami one with 30 were found in the same mother. An embryo, quite immature, but possessing the full number of legs, was found with a larger number of legs than one which occupied the part of the uterus next to the external opening. (Caracas.) Peripatus demeraranus : 7 adult specimens had 30 pairs of legs; 6 had 31 pairs; 1 had 27 pairs. Out of 13 embryos ex- amined, 7 have 30 pairs and 6 had 31. (Demerara.) Peripatus trinidadensis : 28 to 31 pairs of ambulatory legs. (Trinidad.) Peripatus torquatus : 41 to 42 pairs. (Trinidad.) Specimens of other less fully known species are recorded as having respectively, 19, 28, 30, 32, 36 pairs of legs, &c. In the Neotropical Species, irrespective of the number of legs, the generative opening is placed between the legs of the penulti- mate pair. (SEDGWICK, p. 487.) Peripatus (j id if or mis?} from St Vincent: six specimens ex- amined. Of these, 1 specimen had 34 pairs of legs, 2 had 32 pairs, 1 had 30 pairs, and 1 had 29 pairs. PococK, R I., Nature, 1892, XLVI. p. 100. In connexion with the case of Peripatus, the following evidence may be given, though very imperfect and incomplete. 2. Myriapoda. CHILOGNATHA. Variation in the number of segments composing the body in this division of Myriapods cannot be observed with certainty ; for it is not possible to eliminate changes in number due to age, nevertheless the manner in which this increase occurs has a bearing on the subject. In Julus terrestris the number of segments is increased at each moult by growth of new segments between the lately formed antepen- ultimate segment and the permanent penultimate segment. At each of the earlier moults six new segments are here added: in Blaniulus the number thus added is four, and in Polydesmus? two fresh segments are formed at each of the earlier moults. In. each of these forms the number added is the same at each of the earlier moults. NEWPORT, G., Phil Trans., 1841, pp. 129 and 130. CHILOPODA. The number of leg-bearing segments differs in the several genera of Chilopoda, but except in the Geophilidse the number proper to each genus is a constant character. For instance in Lithobius 94 MKK1STK \\KI.\TION. [PART I. this number is \.~>: in N---./,,/,. ,«,//•/« it is 21; in Scotopendrops, 23; in ' ''•///'>"/'< - '. 'Ve. In Ceophiiidie, however, tin- total number of inoveable segments is much l.-u-^'.-r, r:ur_'in'_' fr«iin about .'55 to more than 200. Though not ehara.-t.-n-ti.- ..f -.-n.-iM, the iminlttT seems within limits to mark each particular It \\a- foil ml that male GeophiH have fewer segments than tin- female. The males of Arthronomoltts longicornis have 51 or ."••_' le>_' l.e:ii-inLr segments. while feina'e.s usually have 53 or ~>\. Full- irrosvn female- "t G "I'liiln* terregtria have 83 or 84 pairs of legs ami ami the males nf the -amc species have 81 or 82. In a lar:_'e NeajM.litan specie . '•'• •>///"'///>• lii-i'iyatus BauHL. ] the variation rather im-ater. In eiu'ht males the number varied between 96 and '.''.i; in eleven females, between 103 and 1<>7. <>f two female .,/,//,/> rulcatut one inrli\ iilual had 13G and the other 140. NEWPOKT, <../'- Linn. >»••.. xix. 1>I."-. p. 427, ifcc. !ln some of the ( 'hiloj.oda' an increase in the number of segments afiei- i he lar\a hatches, hut the variations mentioned above are n-.-, u-.|eil ae o,-,-iiirinLr in fully formed specimens independently of s due to aije.] Iii tin- ton-^/n,^ cases, a tact which is often met in the Study «t Variation i- \\areil with the other Chilopoda, and in the neo-tropical spedee of Peripcdus which vary in the number of legs, while P. 1ml t'nuri , for in-taiice. i> very constant. It will be noticed that in both th'- c.i — t he absolute numbers of parts repeated are con- -iderably higher in the variable than in the i-onstaiit forms. But though "ii'-h cases ha\e gi\-en rise to general statements that series -.f organs containing a small number of members are, as such, less variable than series containing more members, these statements require coii-iih-rable modification: for it is not difficult to give in-tanc,-- both in plant- and in animals, where series made up of a -mall number of members, shew great nieristic variability. The bi •ai'inj- of t he-e ca-e- on the nature of M ei'ist if Repetition .md th- conception of 1 lom, ,l,,^y will be cou-iJei-ed hereafter. II- re, ho\\e\er, it may be well to call attention to the fact that we have now before ii- cases in which various but characteristic num- b, i - ,,f legs or segments differentiate allied species or genera : that in a — liming the truth of the |)octrine of Descent, we have ex- pressed our belief thai in each case the spi-cjes with diverse mim- b,-i- are descended from some common ancestor. In the evolution of these form-, therefore, the number ha- varied : this on the one hand. On the other hand, in (n'njiliiltiti and in Peripabus, WQ see riling to N|-\\i'..i;r (Tr-in.i. Linn. SOC, \l\. 1M">, \>. L'C.S), „// Alyriapoda |iiur ;i j)iTin.lirnl iiddit i. >n nf . -nii'iits and II-^H, but acconiin^ to later observers thi-i is not true nf all tht Chiln]n»l:i. CHAP. II.] SEGMENTS OF ARTHROPODA. 95 contemporary instances of the way in which such a change at its origin may be brought about. Though there are several things to be gained by study of these instances, one feature of them calls for attention now, namely, the definiteness of the variations recorded. The change from a form with one number to a form with another number here shews itself not as an infinitesimal addition or sub- traction, but as a definite, discontinuous and integral change, pro- ducing it may be, as in Peripatus edwardsii, a variation amounting to several pairs of legs, properly formed, at one step of Descent. This will not be seen always to be the case, but it is none the less to be noted that it is so here. Among Insects I know no case of such individual variation in the fundamental number of segments composing the body. Among Crustacea two somewhat remarkable examples must be mentioned, though it will be seen that both of them belong to categories very different from that with which we are now concerned. But in- asmuch as they relate to the general subject of Meristic Variation they should not be omitted. 3. Carcinus maenas. The abdomen of these crabs consists normally of seven segments, including the last or telson. In the female the divisions between all these seven are very distinct. The abdomen of the normal male is much narrower than that of the female, and in it the divisions between the 3rd, 4th and 5th segments are obliterated. Males, however, which are inhabited by the Ehizo- cephalous parasite Sacculinn do not acquire these sexual characters, and in them there are distinct divisions between the 3rd, 4th and 5th segments. (Fig. 9 c.) FIG. 9. A. Abdomen of Carcinus mtenas, female, normal. B. Abdomen of male, normal. C. Abdomen of male infested by Sacculina. After GIARD and BONNIER. In male Carcinus nucnas inhabited by the Entoniscian parasite, Portunion, a similar deformity may occur, but is often very much less in extent, sometimes being only apparent in a slight alteration in the contour of the sixth abdominal somite. In specimens of Portunus, Platyonychits, Pilumnus and Xantho inhabited by Ento- niscians, no change was observed. GIARD and BONNIER comment on the remarkable fact that the change in the sexual characters effected by Sncculina is greater than that resulting from the presence of Entonisciaus ; for since the latter are more internal parasites, preventing the growth of and actually replacing generative organs entirely or in part, it might have been expected that the consequences of their presence would be more profound. GIARD, A., and BONNIER, J., Contrib. a IV-tude des Bopyriens, Travaux de I'inst. zool. de Lille et du laboratoire zool. de Wimereux, 1887, torn. V. p. 184. 9f> M I'll I -11 < \ Al:l \TlM\. [I'AKT I. 4. Branchipua and Artemia. A- it has been alleged that variation may be pro- due. d HI tl. tatiMn i.f the abdomen of these animals by changes in the a whi.-h th.-y live, it * -ary here to give the facts on which thi- state- iij. : • ith.T i|iu -tion of the relation of Arti-min .-i: in August 1-71, 1 , , ind lati i in that year tin- salt bewail to crystalli/.r out. In 1*71 tin- Art, -mi:, hud caudal tin- of •_-."" 1 size, h. arin^' s to TJ, iar.lv 1.",, bristles, but with th- i-oiirriitiation ..I' tin- watrr tin- gi-m-i ation- uf Arlt iniii i, until at tin- end of the summer of 1*71 a large part of i had no caudal I'm-, thu> pir-i iitiii^.' tin- charai '•• > ot A. milhausenii Fischer and Milin- Kdw. Tlir -iii-ci --ivr >ta!_'.-> of tin- diniiimtion of the tail-tins and of the numhiTs of tin- bristli - an- -hrwn in thr ligurr-i, with which all are now familiar. , i."lur. .1 rx|.i-iiiin ntally by gradual concentration of water, inmr foi in i.-.-mbling .1. inilltiiiiai-nii. It was found also that if tin- animals without caudal tin- wnr krpt in watrr which was gradually diluted, after M.iiie w..k- ;L j.air ..f conical ].romiiu-ncos, each bearing a single bri-tle, ap- I'. .-.r- .1 at the end of thr abdomen. It is fuitlier Mated that tin- branchial plates- of the animals living in the more highly con.-, ntiat. d wat. r wen- materially larger than those of animals living in r of :i lc-s conceiitra: Schmaiil.i wit-ch K - on t.. -;iv that by artilicially brrrding Art, 'mid xnlinn in more and more dilut. d salt water he obtain..! a form having the characters of >• IIVMI me Input, and that li. i- this form as a new species of Ili-inii-lufiii*. lie ex].lain- tin- -lad ment thu-: In the normal Artrinin, the last • ..-nt uf tin- p..-t abd ....... n i> about twice a> loim- as . ,-ich of the other M-L'iiiriits. \vhilr tb- iingjiait in Hriini-lii fnm isdividid int. . two segnif-nts. He states that in his i. [union the condition of the la-t .-egmnit of the po-t-abdomen consti- •ial dilTt-reiic.- betwe.-n Arti-mni and I'-rinichijnut, and that such diM irred in the third generation of the fonn jiroduced by him from Art,-niin b;. i\r .lilution ,,f the watrr. A s.-cond distinction betw.-.-ii tin i in iii. \rt,miii is reproduced partheno- ily, while Itr.nii-liijiii* is not known to be so reproduced. As to the i .-litmn of hi- new loim in tin- i. ~\- ot, S.-hinankewitscli had no evidence. 'i. nt piper. /.. f. »•. '/... 1*77. further paiticulars are given, re- > tin- natural \ ai i- ; i. - of .1 . ,-,///„,, . ( )f t hr-e lie distinguishes two, \ar. '/ an-i vai /-. The iir-t of t In -e i- distin-.-ui-lied by its greater size (8 lines iii-t. in.-, tb. • for tin- type) and bv tin- greater lei. the post- -ui. n. In the type the bi;-tles on each caudal lin air :'. m-rallv S — 12, and in . /. »•. /.. \x\., 1>7."., L'. p. inn and xxix., 1-77. p. l'_".i ; also in several :;in publications, to winch n t. • Brill be l.nind I.e. 1 i ' thl point a ; ...... 1 deal of intrr. Ming evidence i- given iii Schmanke- ut as it does nut hear immediately on the ijiu-Mioii of the specific dii' •: b. . n introduced h< i. . CHAP. II.] SEGMENTS OF ARTHROPOD A. 97 var. a, 8 — 15, rarely more. Amongst specimens of var. a, as also among those of the type, specimens may be found having three, two, or even only one bristle on the caudal tin. The second antennas of the male are less wide in var. a .than in the type, and the knobs on the inner border are rather larger than in the type. The variety b was found in pools of a concentration of 4° Beaume. It differs from the type in having the post-abdomen shorter in proportion, though the whole length is about the same. The number of bristles on the caudal fins is greater in the variety. The second antennas of the male are narrower in the variety than in the type, and bear a tooth and a thickening of the skin internal to the rough knob- like projections. But the most important difference characterizing var. b is the appearance of transverse segmentation in the last (8th) post-abdominal segment. This, according to Schmankewitsch, does not amount to an actual segmentation, but is really a transverse annulation, which may be more or less conspicuous, and suggests an appearance of segmentation. Schmankewitsch looks on this second variety as a transitional form between Artemia and Branchipus. Before going farther it may be remarked that Schmankewitsch gives no figures of these varieties, except in so far as they are represented in the well-known series of sketches of the caudal forks with varying numbers of bristles. No analysis of the waters is given. It will be seen that two principal and distinct statements are made : (1) That A. milhausenii may be reared from A. salina by gradually raising the concentration of the water. ('2) That by diluting the water a division is produced in the last (8th) segment of A. salina: that this is a character, or, as Schmankewitsch says, the chief character, of the genus Branching. First as to the relation of A. salina to A. milhausenii. The species milhausenii •was made by G. FISCHER DE WALDHEIMJ on spirit specimens sent to him, and the absence of caudal fins and bristles was taken as the diagnostic character. Fischer's figures are very poor, and indeed are scarcely recognizable: they are also incorrect in several points, giving for instance 12 pairs of swimming feet instead of 11. The description is also very imperfect. In the course of this he speaks of the male, saying that its second antennas are larger than those of the female, in which he declares the second antenna? may be sometimes absent. From Fischer's account it is quite clear that his material was badly preserved, and indeed, as Schmankewitsch says, specimens of these animals preserved with spirit only are of little use. In 1837 EiTHKE2 gave a better figure of A. milhausenii ? from the original locality of Fischer's specimens. The tail, ending in two plain lobes, is shown. The male is not mentioned. The following analysis of the water is given : Potassium Sulphate 0-7453 Sodium Sulphate 2-4439 Magnesium Chloride 7-5500 Calcium Chloride 0-2760 Sodium Chloride 16-1200 27-1352 in 100 of the water. Other authors mention A. milhausenii, but there is, so far as I am aware, no special account of the male, or any material addition to the above. I will now give an abstract of such further evidence on this subject as I have been able to collect. In the course of a journey in Western Central Asia and Western Siberia I collected samples of Branchiopods from a great variety of localities. Of these two consist of Branchipus ferox (Milne Edwards), one of Branchipus spinosu* (Milne Edwards), three of a species of Branchipus not clearly corresponding with any species of which a description is known to rne, and the remainder of Artemia. All the species of Branchipus collected are quite clearly defined both in the male and the female, and have certainly nothing to do with the Artemia. Of the latter some preliminary account may now be given, as the facts bear on Schmankewitsch's problem. Omitting those which were badly preserved and those which do not contain adults, there remain twenty-eight samples, satisfactorily preserved with corrosive sublimate, from as many localities. Of these, eight contain males, all of them having the 1 Bull. Imp. Soc. Nat. Moscou, 1834, vn. p. 452. 2 Mem. Ac. Sci. Pet., 1837, in. p. 395. B. 7 98 MERISTIC \ AHIATION. [PART i. distinct! -Hii'i. It is difficult to speak with confidence as to the ; from tli.- f.-nial.- alone, but by careful comparison I can find -tru.-tun- uhich ditT.-r.-ntiat.-s any of the remainder from the females 1 Ulti, ,. : ;hein as all of the same species. A. .-ml inn. ,,f many kind-, some being large salt lakes, while others were small pondi -T even pools. Th, -p. • -iiic gravities of these waters varied from 1-030 to 1 215, md jo am th>- r.--uit- • •( the analysis of six samples, the composition of tl,, i.t. 'Hi- ipecific gravities were measured in the field with u hvdr.,in« t. r nadii:/ to "i i:,, and on comparing these readings with the de- i,f tii.- ;-]'. I., "t' tti. -ami'les brought home it appears that they were t, and I think therefore tbat these rough readings are fairly trii-i-.\"ithy. As t.. th. c-..inii.--iti<'n of the waters not analyzed, nothing can be said with mi. • alvses shew, some of these lakes contain chiefly ,.(,!. -uli. hat. B, and so on. In a few (e.g. xxix) there is a great tir\ ..f -odium cari.onate. so much that the water was strongly alkaline and the hand-. Thi> can generally be recognized on the spot in various .vitsch's work is that of the caudal fins. : • ige between the large fins with some twenty n t.. tin- condition with no distinct lin or bristles. The following table tin- niinihi r of bristles on the caudal fins, and this No. in Sp. i .. IM i nglf caudal tin. . . only Remarks XXIX. H>:;u iur,,-_M Analyzed. Strongly alkaline. ^70 XXXVII. L-075 8—13 XXXIX. M>7.-, 5 - 7 XI, I. 1-Os.-, 13—15 IV. 1-0'. i:. 20—28 S3 pivM-nt. This and III. both pools in one dry stream-bed. XIV. 1 100 8—14 Anal\/. d. XI. V. 1-100 8—12 XXVII. L-100 4—10 XXXI. 1-105 5— '.' S3 present. XXXV. L-106 4- - XI. III. L • 1 16 1— f, Analyzed. XIX. L- 116 .-, ;i XL. about l-l:;n \'l^ 1C, Pool in a stream-bed, a present Ml. 1-1 in :i - 7 XXXVI. 1 L-150 4—10 xi, iv. L-160 7- 8 Analyzed, XVI. i r,ii 0— 1 III. L'160 1C, l!l S 3 ]'r. Bent. This and IV. both pools in one diy stivain-brd. XII. 1-166 i- a XXII. ii i .-, XVIII. 1-lTii r, B XXIII. 1 1 7 '. 1- 5 X\\ 1 L-179 i ;i \naly.-cd. XX I\ 1 -Ji'l Analyzed. XXXII. 1-215 l mi 1-215 -' 7 CHAP. II.] SEGMENTS OF ABTHROPODA. 99 number is a fair guide to the size of the fins, large fins for the most part having many bristles and small fins having few. In the third column the range of this number in several individuals is shewn, and for this purpose only adult females bearing erjrjs in the ovisac are reckoned, as with sex and age there are changes in respect of the number of bristles. ANALYSIS OF WATER FROM SIX LOCALITIES CONTAINING ARTEMIA SALINA. Catalogue Number XXIX. XIV. XLIII. XXVI. XLIV. XXIV. Chlorine CL, 2-6950 24-8646 54-7793 70-8130 57-6653 fil-OSHO Sulphuric anhydride S03 ... Carbonic anhydride CO., ... Lime CaO 5-9105 7-0125 •0311 13-3585 •3185 •2256 30-3797 •3926 •0678 53-8150 •2398 •2266 71-8775 •3231 •1466 74-4463 •2451 •5175 Magnesia MgO •0384 3-3561 6-0367 4-7514 4-5115 q-H3C)4 Soda and Potash Na.,0, K2O 16-7471 27-4589 63-6088 96-7906 100-0803 97-2084 Total 32-4346 69-5822 155-2649 226-6364 234-6043 243-3397 Oxygen equivalent to the Chlorine... Total solids in 1000 grams •6082 31-8264 5-6112 63-9710 12-3620 142-9029 15-9804 210-6560 13-0133 221-5910 13-7846 229-5551 Sp. G. compared with Water at 20° 1-03074 1-05196 1-11787 1-17999 1-19586 1-20441 These analyses were undertaken for me by Mr H. ROBINSON, of the Cambridge University Chemical Laboratory, and my best thanks are due to him for the care with which he has conducted them. The table shews the great variability in the development of the tails and bristles. In specimens from the same locality there is generally great difference, and even the numbers on the two fins of the same individual are rarely the same. It will be seen that on the whole the forms with few bristles came from waters of high specific gravity, thus generally agreeing with Schmankewitsch's statement. This relation to the salinity is not however very close, but Schmankewitsch never asserted that it was. He frequently refers to the existence of individuals with tails in several conditions of degeneration in the same water, and especially (Z, f. w. Z., 1877, p. 482) he expressly states that in the original locality of A. milhausenii he found this form and with it several others intermediate between it and A. saliita. It will also be seen in the Table, that the three samples, IV, XL and III stand out as having far more bristles than other samples from waters of equal specific gravity. Each of these localities was exceptional, and all belong to one class. Ill and IV were pools in the dry bed of a stream in the Kara Kurn, near the Irghiz river. They were close together, and must be joined in each spring. XL. was a pool in a somewhat similar dried stream-bed, coming down to the lake Tulu Bai in the district of Pavlodar. The conditions in these pools must be very different from those of the large, shallow, permanent salt lakes from which the other samples mostly came, and it is only fair to Schmankewitsch's case to remember that the water in such pools must be almost fresh during the early part of each summer. On the whole, then, it seems satisfactorily shewn that the tailless form is con- nected by intermediate stages with the fully-tailed .-1. xalina, and that this transition is at all events partly connected with the degrees of salinity of the water in which it lives. Almost each locality has its own pattern of Arteinia, which differs from those of other localities in shades of colour, in average size, or in robustness, and in the average number of spines on the swimming feet, but none of these differences seem to be especially connected with the degree of salinity. 7—2 I I II) MERISTIC VARIATION. [PARTI. Passing now to the question of the distinctness of A. niilhiniiirnii, it seems clear tlnit. ke said, it should never have been considered a distinct species. The the Unless tail, which is now seen to be one of degree, does not differ - lorily, and, as Schmankewitsch found, it is to be seen swimming \utli tin i individuals. It has never been shewn that there is a male A. mil- \utb distinctive sexual characters, and among the Branchiopoda the -cxual characters of the second antenna in the male are most strikingly ictiv* "i tin- several forms. While being in no sense desirous of disparaging •uankewitsch's very interesting observation, I think it is misleading ihe the change effected as a transformation of one species into another. bach himself expressly said that he did not so consider it, and it is tlnit such a description has been applied to this case. t inn nf th«' division of the 8th post-abdominal segment of Artemia, ii mi dilution of the water, directly concerns the subject of Meristic :. A- to tin- flirts, there is no doubt that the tail of Branch ipu.f appears to in. 'iii- i.esidt.-s the two which bear the external generative in all. niiif, \vlnli- in the commonest forms of A. mlina there are only nt-; and that the difference lies in the fact that in the long t'li:. . [. galina there is generally no appearance of division. But as ' -h<\\n. tli«- la-t apparent division in Branchipits is of a different • I'l.. m that of the other alidmninal -• ' . This is indeed easily seen in / ah . I:. .«/./». is//.--. &0., MI wliich tliu ap]>. arance of tin la-t .on i-, \. :roin that of the other .li\ isious. It appears, in fact, to be I. annulatioii thai -illation. In longitudinal sections file distinction -u. -li a di\i-i- • iin^' to Schmankewit-eh. appears in the third . !i ..: .1. .-.iliiiii hied in diluted salt water. Ann. ii/ m\ c of division in the last segment or<-urs in a <-. i. nuniliei, and tln-.-e are not hv any means from the most dilute v.at«T.- iilon. . • ih. in lieiiiL' from wai real e..nrentratinn. For instance, .men- in XXIX. LI, XXXVII. XXXIX and XIV, all have no trace of sneh di\i ' '•: tin- oilier hand, it was found in . i •. cimens t'n-m XX\"I (Sp. G. Tl 7'.'. al.d X I.I I i !>].. ( .. I'll.".), while (it he! s I'loln tin -e loca 1 i t i. • - did Hot shew it. to adull t. mal. j. I do not tliml.. there! that the •ion of this appearance of division to the salinity of the water is a constant one. Lastly, It tin- relation of Art.min t.. Branc/iipus, Schmankewitsch has in:iinta:in d that the di\isi,,n of thi- la-t al.doininal Moment i- tin- only struetuial ill\ ditTei. ntiatinj.' llnnn-tiiinif. Cl.au- (Lc.) pointed out that there are many otin-r point- ol ditT.ieii.-e. and that the suppo.-ed di\i-ion is not a struetuial rlmiaet-i <.fj.-i.at nioiin-iit. Hut al.ov. all tit. -.-.-, it -hoiil.l l.<- ivm. mhei ed that by the -•••.ii. il ci the male-, liniiti-lii/iii.-, i- absolutely -eparated from .1 r1,ini m, reu-.n to MII • -••\iial eliara<-ter.- are mor A. M. Norman who i. .. i\, d tin m fioni Profl 101 I'.ii l.ai.i. I cannot lea\.- tin- -nhj, . t v.ith,, -loiii-liin.-nt at the com- ll»-'1'1 '" ' in the structure of Art.'ini,, and other i inhabiting uat.i- ,,f dilt, i, nt salinity and composition. It is not a little CHAP. II.] SEGMENTS OF ARTHROPODA. 101 surprising that the animals living in No. XIV, for example, are scarcely dis- tinguishable from those in No. XXIX, though the water in the latter was so strongly alkaline as to feel soapy. The conditions of animal life in these two waters must surely be very different, and yet no visible effect is produced. It is of course certain that there are great differences in the physiology of these forms, for, as I have often seen, animals (Copepoda, Cladocera, &c.) transferred from one water to another of materially different composition, die in a few minutes, though the second water may be inhabited by the same species; but in visible structure, the differences are for the most part trifling and equivocal. < MAI'TKK II! LINEAR SERIES — continued. VERTEBR/E AND RIBS. 'I'm: Men-tic Vai-iati..us of the vertebral column constitute a jed ..I some complexity. In considering them it must be remembered that numerical change may be brought about in the of vertebrae by \\\» different processes: first, by Variation in tin- total Qumber of segments composing the whole column, in which the variation i- truly Men-tic ; and second 1\ by Variation in tin- number or ordinal position of tin- vertebra* comprised in one or mop- regions of tin- column, not neces-arily involving change in th«- total number of segments forming the whole series, and in this the \ariation i- Homo-otic. Though Eomceotic Variation is often a-.-oriated \\ith change in the total number of segments, fi-oni tin- natmv of the case it is rarely possible in any given in-tanec to di>tinguish clearly whether >udi change has occurred or DOt. Thi- ari-es largely from the tad 1 hat while to find the il numbet of vertebrae it is necessary to kn<>\\ the exact number of caudal \ei-tebr;i', in man\ specimens the>e arc incomplete, and •i if present their number cannot often be ^iven with con- fideiice. For then reasons the chief interest of this section of the fart- arises in connexion with Honiu-otic Variation, and the modes in \\hich it OCCUTS; but it must be constantly borne in mind that in almost ;my gi\en case there may be Mcristic Variation also, though the e\idelice of this lliaV be ob-CUl'ed. TlMI Ml Ills-Mi \'A];i.\TH'N IN \ I 1:11 Pi:. 1. ANI> iJlHS. I. V> iii /'fn . True M eristic \'ariation, that is to >,-i\. change in the total number of .-• ur"n m- conii-o-inL; the \\hole column. ma\ neverthe- le-s be j.lainly iec,,UMii/ed in <-, itain animal-. Among -oine of the CHAP. III.] VERTEBRAE AND RIBS. 103 5. lower vertebrates, Fishes and Snakes, for example, the range of such Variation may be very great. Among Mammals the following may be given as an example of considerable Variation in the number of praesacral vertebras in a wild animal, and such evidence may be multiplied indefinitely. Erinaceus europaeus (the Hedgehog). C D L S C Total No. 1 7 14 6 4 11 42 2 7 15 6 3 10 + 3 7 16 6 3 9 + 4 7 15 6 4 12 44 5 7 15 6 4 11 43 6 7 14 6 3 9 + 7 7 15 6 3 11 or 12 8 7 15 6 3 13 44 9 7 15 6 3 12 or 13 Nos. 1—5 in Mus. Coll. Surg., see Catalogue, 1884, pp. 645 and 646; No. 6 in Cambridge Univ. Mus.; Nos. 7 — 9 in British Museum. 6. Man. The simplest form of true Meristic Variation in the total number of vertebrae may occur in Man by the formation of an extra coccygeal vertebra, making five coccygeals in addition to five sacrals, i.e. ten pelvic vertebras in all. Instances of this are rare (SxRUTHERS), though in many tailed forms such Variation is common. Two cases, in both of which the sixth piece (1st coccygeal) was partially ankylosed to the sacrum, are fully de- scribed by STRUTHERS, J., Journ. Anat. Phys., 1875, pp. 93 — 96. In the presence of cases like that last given, there is a strong suggestion that the number of vertebrae has been increased by simple addition of a new segment behind, after the fashion of a growing worm : the variation of vertebrae thus seems a simple thing. But there is evidence of other kinds which plainly shews this view of the matter to be quite inadequate. Some of these facts may now be offered, and in them we meet a class of fact which will again and again recur in other parts of the study of Repeated Parts. IMPERFECT DIVISION OF VERTEBRAE. *7. Python tigris1. This is a case of great importance as illus- trating several phenomena of Meristic Division. In a skeleton of Python in the Mus. Coll. Surg., No. 602, the following peculiarities of structure are to be seen. Up to the 147th inclusive the ver- tebras are normal, each having a pair of transverse processes and a 1 This and the following cases of Pehnnis and C imoliasaurus are discussed by BAUE, G., Jour, of Morph., iv. 1891, p. 333. I'll MlilMSTIC VARIATION. [PART i. pair of ribs. The appearance of the next vertebra is shewn in the ti_rui' < Kr4. K), I.). Anteriorly, and as far as the level of the I" '-!• -ri'»r surface of the transverse processes, it is normal, save that n- neural spine is rather small from before backwards. The trans- verse processes bear a pair of normal ribs. But behind this pair of transverse processes the parts, so to speak, begin again rising in into a neural spine, and growing outwards into a second pair of transverse processes, with a second pair of normal ribs. Poste- riori \ a_';iin the parts are normal. This specimen is described in th«- Catalogue of 1858, as '14-Sth and 149th vertebrae anky- l..-.-d," but upon a little reflexion it will be seen that this account mi sseutial point. For the bone is not two vertebra? -imply j'-iii'-d together as bones may be after inflammation or the \ l>ut it is two vertebra.- whose adjacent parts are not formed, II of vertebra in one specimen of "- 150 .,„ from the ri^.t aide, shewing the • the L48th and L49th. The condition on the left Jdeia Ww"f " • L65 167, shewinc .hmlicitv of Onthiamdeil bears two ribi. T!U. t s de is nonnal. (Prom • alwleton, m Coll. s „ • M:,_. Nl, ,-,„., , CHAP, in.] VERTEBRAE AND RIBS. 105 and between which the process of Division has been imperfect. With more reason it may be spoken of as one vertebra partly divided into two, but this description also scarcely recognizes the real nature of the phenomenon. Further on, in the same specimen, at the 166th vertebra, there is an even more interesting variation. This vertebra is represented in Fig. 10, II. As there seen, it is normal on the left side, bearing one transverse process and one rib, while on the right side there are two complete transverse processes and two ribs. The 185th vertebra is also in exactly the same condition, being double on the right side and single on the left. 8. Python sebae : a precisely similar case (Brussels Museum, No. 87, I. (Jr.), in which the 195th vertebra is single on the right side and double with two ribs on the left, is described by ALBREGHT, P., Bull MILS. Nat. Hist. Belg., 1883, n. p. 21, Plate II. 9. Python sp. : a precisely similar case of duplicity in the 168th vertebra, on the left side, in a mounted skeleton in the Canib. Univ. Mus. It is to be especially noticed that in each of these four cases of lateral duplicity, the degree to which the process of reduplication has gone on is the same. 10. Pelamis bicolor [ = Hydropkis~\. The 212th vertebra simple on the left side, and double on the right. It bears one rib on the left side and two ribs on the right side. Yale Univ. Mus., No. 763. BAUR, G., Jour, of Morph., iv. 1891, p. 333. 11. Cimoliasaurus plicatus (a Plesiosaur). " Centrum of a small and malformed cervical vertebra from the Oxford Clay near Oxford. This specimen is immature, and on one side is divided into two portions, each with its distinct costal facet." LYDEKKER, R., Cat. Fossil Rept. and Amph. in Brit. Mus., Pt. II. 1889, p. 238, No. 48,001. A case somewhat similar to the above is recorded in the Rabbit by BLAND SUTTON, Trans. Path. Soc., XLI., 1890, p. 341. See also certain cases of a somewhat com- parable variation in Man, considered in connexion with the variations of Bilateral Series. II. Ribs. 12. Man. Partial division of ribs is more common than that of vertebra?. Five cases are given by STRUTHERS. 1. Fourth rib becoming broadband bifurcated in front. Male, aged 93. From about middle of shaft these ribs gradually increase in length from 7 lines to li inch on the left side, 1^ on right. They then fork, the left l;y inch, the right 1 inch from where they join their cartilages. Cartilage of right forks close to rib, enclosing a space which admits little finger ; cartilage of left lost, but the diverging bony divisions, each of good breadth for a rib (6 to 7 lines) enclose an intercostal space 1^ inch long, attaining a breadth of f inch, which was probably continued forwards by the division of the IOC, MKUISTJC VARIATION. [PARTI. cartilage "i- by two cartilages. The cartilage of the left 7th rib is als.. double I'm- 1^ inch, all the others are normal. 2. LI -ft fourth rili becoming very broad and bifurcating in front; two large spaces, on.- in t IK- b.iiie, one at the bifurcation, o. Left fourth rib becoming broad t.i \\ards sternal end, where it joins bifurcated cartilage. In til-— three cases the division affected the 4th rib. Three others an in \\hich the rib affected was probably the 4th or oth. Si 1:1 i HI. its. .}. ,./<»ir. A nut. Plii/s., Ser. 2, Vlll. IS?."), p. 51. Such cases are oft.-n recorded and preparations illustrating them may !••• — ii in most nni-eiiins. I -idt •- these cases of obviously M-ri-tic Variation, there are maiiN \\hidi are r.uiibined with Homoeosis so as to produce far anatomical divergence. Though in some of these examples tin-re ma\ be change in the total number of vertebra- shewing thai true Meristic change has occurred, they cannot well be treated apart h»m tin- m-. re di-tinctly Homoeotic cases. I b -MI I:-- 1 1' \'.\I:IA i MX IN VERTEHK/E AND RIBS. in vertebra may be best studied in Mammals, , an.! tin- following account in the tir-t instance relates chiefly to them. r.etoie considering the details of such \ariations in vertebra-1, it may be useful to d, -senlie briefly the ordinary system of oe- dat'lle \\hich is here followed. I 1 1 ! 1'ea I i I Ig t ll JS M ll ij ect it IS 1111- -ible to employ a terminology \\hich docs not seem to imply • ptance of the \ie\\ that 1 1 1 e iv is a true homology between the individual \eiiel, ra of t\\o >pin.-> containing different total num- ber- for all the nomenclature of Comparative Anatomy is devised on thi> hypothesis. This ditHculty is especially felt in regard to vertebrae, and at this point 11 should l,e expressly stated that ill using the ordinary terms Mo Midi assent is intended. This matter has already bee,, lefenvd to m Section \'l. of the Introduction, and will lie dis, 'iis.,., | in relation to the facts to be given. .1 ••.ilmim ' is ili\i.ir.l into \\\,- regions: r,i\i,al. di.rsal. lumbar, i .111 !»• iiliMilnt. 1\ cl.-tini il. luit tho folli>\viii._' ilifin. i tli.' ant. ..... ]>'.rtimi of tin- i-.ilumn, which either • ii.s wliii-li .to in. i K arli tli,. Mi'i-mmi. I>,ir*"ir •. ihi,-..- uhi.-li L to the dorsals and ha^ ..... moveable ribs! :inn..i 1..- .I. tiiii-.i in t.-i-Mi> u|i|,ii,-ai..i- even to tin- whole class ol ii"H""ii'- - 'iiMil.'iaii.ni. it \\ill !„• cnouph to use the i'-"ii in th" rilj given to it in human anatomy, to mean those vertebra wJn.-i, an- Hiik\,- i ether t.. fmni a .-a. -mm. Caudal vertebrtB are vert.-lira- .111. The characters thus defined an- distributed among the several vcit.-bra- acc,,rilin- to their ordinal positions Among mammals th.- number of vertebra \\hi.-h develop the characters of each re- i., \\ . 11.. .V,im/,M/.<. I.ii-iii:i ,iwl Kstnic!. IS'.ll, j>. 41. CHAP, in.] VERTEBRA AND RIBS I MAN. 107 gion, though differing widely in different classificatory divisions, are as a rule maintained with some constancy within the limits of those divisions, which may be species, genera or larger groups, so that vertebral formulae are often of diagnostic importance. Changes in the numbers of vertebrae composing the several regions must therefore have been an important factor in the evolution of the dif- ferent forms. Homoeotic Variation in the spinal column consists in the as- sumption by one or more vertebra? of a structure which in the type is proper to vertebras in a different ordinal position in the series. Examples of this are seen in the case of the development of ribs on a vertebra which by its ordinal position should be lum- bar ; or in the occurrence of a vertebra, normally lumbar, in the likeness of a sacral vertebra, having its transverse processes modi- fied to support the pelvic girdle, &c. Variations of this kind have one character in common, which though at first sight obvious, will help us in interpreting certain other cases of Homoeosis. In all cases of development of a vertebra normally belonging to one region, in the likeness of a vertebra of another region, this change always takes place in vertebrae adjacent to the region whose form is as- sumed. For example, if one vertebra, normally cervical, bears ribs, it is always the last cervical ; if two cervicals bear ribs, they are the last two, and so on. No gaps are left. Homoeotic Variation in the spinal column may occur by the assumption of (1) dorsal characters by a vertebra in the ordinal position of a cervical, (2) lumbar characters by a vertebra in the ordinal position of a dorsal, (3) sacral characters by a vertebra in the ordinal position of a lumbar, (4) coccygeal characters by a vertebra in the ordinal position of a sacral, or by the reverse of any of these. Since almost any of these changes may occur either alone or in conjunction with any of the others, it is not possible to group cases of such Homoeosis under these heads, but the consideration of the more complex cases will be made easier if simple examples of each class are first described as seen in Man. I. Simple cases. — Man. (1) Homoeosis between cervical and dorsal vertebra). (a) From cervical towards dorsal type. The chief character distinguishing dorsal vertebrae is the pos- session of moveable ribs. This chai'acter may to a greater or less extent be assumed by cervicals. • 108 MKIilsTir VARIATION. [I-ART I. 13. i -es of the development of ribs on the 6th cervical seem i.. be • Ktremely rare. One is given by STRUTHERS in a young f. The- ribs were present as rudiments only, being the same on both sides in the Gth vertebra, and on the left side in the 7th. Each of these rib-elements was ^ inch long. In the lith the libs rested on the body of the vertebra, but in the 7th the nt. .lid not reach so far. Full details, q. v., STRUTHERS, /. A nut. Phyt ^7:i. p. 32. 1 i \i--al ribs on the 7th vertebra are comparatively common, 14 -"in. 'times moveable and sometimes fixed. The literature of this subject up to 1808 is fully analyzed by WEXZEL GRUBER, .! Set. Pet., Ser. vn. T. xin., l.SW, No" 2, who refers to 76 of -H. -h ribs, occurring in 45 bodies, being all that were known t«. him in literature or seen by himself. In addition to these 12 ire de-cril>ed (10 in detail) by STRUTHERS (/. c.). Some of tin- results of an analysis of these cases are important to the study of Variation. Of 57 tin- ribs were present on both sides in 42 cases and "ii --M.- side "ill} iii 1 .">. \ • »rding t" the decree of completeness with which the cervi- cal nl- an- developed, (•'inr.i.it divided them into four classes l. I. Lowest development Cervical rib not reaching beyond the tran-\er-e pi< ..... -re-ponding to the vertebral end of a true rili with r"/'ttii/ii//t and tubercidum, Bud articulating by both of them. //y its cartila- QOUfl • ml "i- by a ligament continued from this, linrcxt fnrm. k Complete development. Cei-vical ril» re>cnil)ling a true rib, ha\in^ a carl generally for a greater or less part of its length united with the cartilage of the first true rib) connecting it with the .-termini. /., M rare form. Qruber states, as the result of an analysis of 47 eases, that the third of ti - i- \rry rare, that the s.-c.md condition is the '•••nimon on,', and that the fourth or complete condition is commoner than the tir-t or lea-t >tate of dc\ .•lojniient , which is also rare. of Stnitli- i^ caa - the majority seem to lielong bo Gmber's second da--, \\hile that on the |.-|'t side in Struthei- Case 4 must have appioarhe,) ('la— Land that on the left side in Case 10 belonged to ( 'h- 3. Two ti-atuivs in this evidence are ot 'e-jiecial consequence: first '• • ': I thai rioal ribs in M:m HIT ].ii.li;ii.ly ..I' t\vo kinds, the •I'Mi.-nt ..f :in " I'pipliy-U " on ili,. -ii)),.|-i,tr transverse process, •l»l>iM..ii: " nh-iu.liiiinit " .•.nit:iiii,.,l iu the inferior : ill'' iiitt-T kin,l tli;it he l- ben -p- ukiu-. CHAP. HI.] VERTEBRAE AND RIBS : MAN. 109 that the variation is more common on both sides than on one side ; secondly, that it is not in its lowest development that it is most fre- quent, but rather in a condition of moderate completeness, having the proper parts of a true rib. (6) From dorsal towards cervical type. 14. Reduction of ribs in the first dorsal is described by Struthers in a specimen in the Path. Mus. of Vienna. " The whole of the cervical vertebra being present 1 there is no doubt as to the case being one of imperfect first rib. On left side rib goes about f round, and articulates with a process of the second rib. On right side it joins second rib at from |- to 1 inch beyond tubercle, but again projects as a curved process where the subclavian artery has passed over it. The maimbrium sterni first receives a broad car- tilage, as if from one rib only, and secondly a cartilage at the junc- tion of the mauubrium and body which is the cartilage of the third thoracic rib." STRUTHERS,/. Atiat. Phys., 1875, p. 47, Note. (See also Nos. 24 and 25.) (2) Homceosis between dorsal* and lumbar vertebrcB. 15. (a) From dorsal towards lumbar type. The characters chiefly distinguishing dorsal vertebras from lumbars are the presence of ribs attached to the former, and of long, flat transverse processes in the latter. Secondly, the articular processes of lumbar vertebrae generally differ from those of most of the dorsal series, each pair of articular surfaces facing inwards and outwards respectively instead of upwards and downwards as they do in the dorsal region. The transition from the one type of process to the other, in passing down the column, is generally an abrupt and not a gradual one. In Man it occurs between the 12th dorsal and 1st lumbar, but in most Mammals it takes place more or less in front of the last dorsal, leaving several dorsal vertebras with articular processes of the lumbar type. (STRUTHERS, 1. c., p. 59.) Cases of rudimentary 12th rib in Man are not rare. When the last dorsal in this respect approaches to the lumbar type, the change of the articular process from dorsal to lumbar may take place higher than normally, as in STRUTHERS' Cases 1 and 2 (/. c. p. 54 and p. 57). In both of these the change was symmetrical, and in the first case it was abrupt and completed bet ween the llth and 12th dorsals, but in the second it was less complete. Though the place at which the change of articular processes takes place here varies in correlation with the diminution of the last ribs, both being higher than usual, such correlation is not always found, change in respect of either of those characters sometimes occurring alone. 1 Struthers points out that unless the cervical vertebrae above the rudimentary ribs are counted there can be no certainty that in any given case these ribs are not extra cervical ribs. 110 MUM-TIC VARIATION. [PARTI. i/.i From liiinli:ir towards dorsal type. !•;. Tli.- formation of inoveable ribs upon vertebrae normally be- li.nv:iiiur i" til-- luiiil)jir groups is in Man rarer than reduction of tin- liNi ill,- In thes,- i-ases the ribs may or may not coexist with processes of considerable size. In a case of 13th rib in M i ^iven by Struthers (/. c., p. 00), the change of articular pro- iin-d a space lower than usual, being thus correlated with tin- :tj.|» arance of ribs at a lower point. 3) \.\i> ( I- >. 1 1 inwusis between lumbar, sacral and coccyyeal vertebras. 17. Tin- diH'ereiici s lietwct-n the vertebrae of these regions are far more matters <>t degree than those between the members of other ons. H\ '!• tachment of the 1st sacral (2oth vertebra) tin- lumliais ma\ become (), and in thi- rase the 2nd sacral wholly or partially takes tin- characters proper !•• the 1st sacral, but this change i- not neci asarilj accompanied by union between the last •al and tin- l~i coccygeal <~'-e, for example, STRUTHERS, I.e., p. t;M. (>ii tin- other hand. th«- last lumbar may unite with the I ial. and sui-h union may IK- rithrr symmetrical or unilateral onl\. 'rip- aiiioiint t» which th<- ilium articulates with these ver- and tin- degree to which tln-ir jn-<.c,--Nes are developed to support it aUn ]>n--i-nt many -hadi-s of variation. Similarly the la-t -a«-ral may IH- (>,,•, i,r th,- |-i (,,,-, •ygeal may be united to the tcrum. Since all tlirM- chaiiL:' s an- manifestly ijiiestions of degree it v.onld he inteiv-ting tn know whetliej- any particular positions in th' ••!' chan--e> are found nmi-e tiv|uently than others, but I know no liody of st.-ti i-t ic> iVoni which this might be determined. In the alis. -nee ,,( -uch determination thei-e is no reason to suppose the exist, nee of ]>i- ..... tiniiitv in thoe variations. H"M^\ \«\\ «[ the degree to \\ hirti | loino-osis in one part of the column ma\ l.e con-elated \\ith .similar llomo-oti.- \ariation in the other parts. |-', ,r though each of the part in i la r dian-es in tin- \:iri..M- regions may occur withoul correlated change in other '•h eonvlatioii nevertheless otteii occurs, and in am cmi- >ideiaiioi, of magnitude .,1 \'aiiati..n it is a ta.-tor <,f importance. In several ••!' the examples to !„• -i\,-n it \\ill In- seen that the re- di-tril.ution ot regions LS aU.. associated with Meristie change in th. total iiMinln i pnents in the column. Et is obvious that in CHAP, in.] VERTEBRAE AND RIBS I MAN. Ill the present place only the most summary notice of the various cases can be given. Amongst them can be recognized two groups, the first in which the Homoeosis is from before backwards, the second in which it is from behind forwards. A few words in explanation of the use of these terms are perhaps needed. In describing cases of such transformation in the series, it is usual to speak of structures, the pelvis for example, as " travelling forwards" or "travelling backwards." These modes of expression are to be avoided as introducing a false and confusing metaphor into the subject, for there is of course no movement of parts in either direction, and the natural process takes place by a develop- ment of certain segments in the likeness of structures which in the type occupy a different ordinal position in the series. In using the expression, Homceosis, we may in part avoid this con- fusion, and we may speak of the variation as occurring from before backwards or from behind forwards, according as the segment to whose form an approach is made stands in the normal series behind or in front of the segment whose variation is being con- sidered. The formation of a cervical rib on the 7th vertebra is thus a backward Homoeosis, for the 7th vertebra thus makes an approach to the characters of the 8th. On the other hand de- velopment of ribs on the 20th vertebra (1st lumbar), is a forward Homceosis, for the 20th vertebra then forms itself after the pattern of the normal 19th1. A. Backward Homoeosis. If each segment in the series of vertebrae were to be developed in the likeness of that which in the normal stands in the position next posterior to its own, we should expect the whole series to be one less than the normal. The following case makes an approach to this condition. *18. Skeleton of old woman. C 7, D 11, L 5, S 5, C 4 (5th and 6th cervicals partially ankylosed). The 7th cervical bore a pair of cervical ribs [of Gruber's class 2, see p. 108], that on the left being ankylosed to the 7th cervical. There were only 11 pairs of thoracic ribs. The 1st lumbar was a true lumbar. GRUBER, WENZEL, Mem. Ac. Sci. Pet, 1869, Ser. vn., XIIL, No. 2, p. 23. Here the 7th vertebra resembles a dorsal in having ribs, the 19th, which in the type is the last dorsal, resembles a lumbar in all respects, the 24th is the 1st sacral, and there is no 33rd vertebra. 1 The same terminology may conveniently be adopted in the case of the parts of flowers. Development of petals in the form of sepals being an outward Homueosis, while the formation of sepaloid petals would be thus called an inward Homoeosis, and so forth. Ill' MERISTIC VARIATION. [PARTI. *19. Male, in Cambridge Univ. Mus., No. 78. Preparation shews C7, Dll, and the 19th vertebra formed as tin- 1st lumbar: re- mainder nut preserved, but Professor A. ^lacalister kindly informs me that there were 5 lumbars and 5 sacrals, giving C 7, D 11, L 5, S 5. Tin- Ttli \eri.-bra has cervical ribs, the left being large and articulating with a tuberosity mi 1st thoracic rib, the right being considerably smaller, but now broken at the end. Only 11 pair* of thoracic ribs. Change of articular process from dorsal to lumbar Jns partially on the left side between 17th and 18th vertebra tin-lead of between 19th and 20th) and is complete on both sides between 18th and 19th. The 19th bears no rib. [Backward II 'inM-osis, greater on left side than on right, as seen in the tt'-r size of the left rib on the 7th vertebra, and in the change ..f pi-.-c.-sus beginning at a higher level on this side. As the coccyx i- not preserved it cannot be seen whether there is one :ii.-ni I--- ill the whole column, which would be the case were backward Homoeosis complete.] "Jo. | male, „•/. 40. C 7, I) 1:2, L 5, 8 6, C 3. The 7th vertebra bore cerv. ril>-. free <>ii Iri't, ankylosed to vertebra on right. Change of artie. processes partially MM It-tt >[t\<> between 18th and 1'Jtli (instead of lid \\i-i-ii I'.Mh ami I'm In. Twelfth thoracic ribs short, being }\ in. long on I. -ft. 1 • in. mi right. STI;ITIII:I;>. .J., J. Aunt. /'/, pp. .">:! an-i [Thei •• i- then-f,,re backward II oiiueosis, greater on the left ~ide than on t lie right.] \'ei-tel,r:e ('7. l> 1 1 nr 1 1', L ."(or 4, S 6, C lost. Eleven jiairs of ribs. Th'- I '.'Hi \iTti'l.ra lia\iii^ a transverse process on the left side re- ,l>lnr_' tli.-ii nf the MTtelira in-xt lid(i\v it, as ivg;ml> place of origin ami its upward slnpc, Imt i^ InM-vr than it l.y l\\\. and is nearly a thinl broader and ;iU" thi<-ker. < )n right side corresjionding part is in t \\ •• pi' Change "t' .-uticular processes coni|ilete lietwcen iSth ;md L 9th (instead of between I'.'ihand I'otln. '1'heL'lth vertebra is uniteil tn >;icnini, but i-- nf unusual sliapi-. dillering -really from a normal % 'ill vert. 'lira). '1'lie l".»tli vertebra is nevertheless not detached frniii >anuiii. S TIM'Tll i:i:s. /. <•., p]i. 71' and -~>7. -•2. AilnlcM-i-nt >iil.je,-t. 7th cervical, I L' dnr-.-ils and ribs, and .') lumbars ei-ved. Ihh rilis reduced. | in. long, 4.1 in. \\ith cartilage. 12th ril^ nidiineiitary, left 1 in., right ^ in. long, lireadth of each about i in. Artie, pi' change ehietly between isth and ll»th vertebr.-e. '•.. ]'. 55. M-'d'-. "/. 17. 07, h 12, L5, 85, G I. 'I'welfth ribs very unequal; ri-_-lii scarcely L'in., left ."..I in. The :>th lumbar ankylosed to sacrum liy it- i-i-ht transverse process. SH;ITIII:I;S, /.,•., p. 57. [Backward Somoeo . on i-iglii >irli- in respeet of reduction of 12th rib and union of L'ltll \eltel, |a In -li'MIIII oil that >!(). ('7, l>12 LO, S5.C3. Dorsal vertebra? and ril,-, normal. 20th vertebra normal, except that it has no trace transverse processes; ribs have perhaps been present on it. •h \, rtel.ra ijuite free from sacrum, but articulating with ilium 1,\ Hnall facet "ii each side. The 1st coccygeal joined to sacrum. Sim in! .KS.. /. <:., p. 00 and p. 91. [Homoeosis in absence of trans. pi,, in 2oi h \ertebra, in separation of 2oth from sacrum, and in union "t 30th \\ith s L'v Skeleton ( ' 7, I > 1 L'. I. »'», S r>, C lost. The L'.'itli vertebra is separate fi-,,iii the ilium .-Hid tin- saerum. l>ut the .'lutli is united to the latter. 3TB1 i HI i>. /. <•.. p. l'1.'. 2g M e, tet. '-"•'. ('~- 1' '-'• I-1'1 '!•>' l>e;u-inur i-il>> — Gth partially joined to sacrum), > •"' "•\du^i\e (,t' ."itli lunilcir). C 1. L'Otli vertebra bearing rili- . 'J.'itli |..ii-'iillv I'n-r t>, .in x.-i.-riini lint jiai'tly supporting the ilium, .•UK! ojii- e\tr;i \ertel>n in iln- >erie>. S'riM'l II KI;S, I.e., p. (it and p. 92. 80. Skein,,,, D12, L6,S4, 04. The I'.'.th vertebra l>y i-i.ylit trans- veree i .irii,-ui ii--- \\ith ^:i,-niiu ami on tin- same side with the ilium: the .".nth, however, though move;il>|e on tlie ~.;icnnn. has rharac ten '• ran-ii ion;il lift ween thn-i- , ,f a .~>th sacral and a 1st coccygeal. • iin.i:-. /..'.. ],. '-^ and p. (.M. .'.I M.ue. ('7. |) l:1,. 1..",. S ami (' ankyl,'-el t ,,:.', •! her of uncertain numl'er. Artii -ular pr, ,. •,•--,•- rhan^i' Let ween L'nt h and L'lst,i.e. a space lo\vei- than u^ual. Init the processes U'tween I'.Uli and L'Oth are smaller than th,,->- liiLrher up and an- n, ,t quite vyinmet ri,-al. The 20th vertebra 1,, ,i'e i-il) on 1,-ft side and ril) has apparently hern present on right, but p i,, li.il.lv not >o miieh de\el,,ped. Si i:i ini.i;s, /.,•., p. 64, note. [For- \\ard EomOBOSis in de\el,ipment of' rili.s on L'Oth and in detachmont 25th.] lint though the variations of the vertebrae mav thus in great measure !„• i-due,-,l (,, system, there remain other eases, rare in M in l>iit n,.t \.-ry iineoiiinioii in lower (onus, \vhirh cannot be ^ight into ;n,\ system yel «le\ised. Such ,-a.ses shew that the liimt^ imposed 1,\ a system of individual homologies, het ween which \\e eoneeive the 'iirieiii-e of N'ariat ion, are not natural limits, and that they ma\ !,-• Bel aside in nature. In the following ease it ma\ In- es|» eially noted that X'ariatioii in the segmentation of the CHAP, in.] VERTEBRAE AND RIBS : MAX. 115 spinal nerves does not necessarily coincide with that of the ver- tebrae. This fact will be more fully illustrated in the section of evidence respecting the spinal nerves. *32. Female, cet. 40. As it stands, the grouping is C 6, D 12, L 6, S 5, C 3; in all 32, viz. one less than usual. The vertebral artery did not enter till 5th cervical (instead of 6th) on left side. The 7th vertebra bore a pair of ribs, left small, ceasing at middle of shaft ; right has been sawn off, but has all the appearance of a rib that would have reached the sternum. The 19th vertebra bore no ribs, and has transverse processes like those of a normal 1st lumbar. 23rd has transverse processes triangular and sloping upwards, like those of normal last lumbar but one (sc. 23rd), though in a less degree : pedicle thicker than usual for this vertebra. The articular processes change in the normal space, between 19th and 20th vertebras. Sacrum 5 ; Coccyx represented by 3 pieces ankylosed together. Two entire lumbar nerves went down from the lumbar region to the sacral plexus. [Bones described in detail, q. v.] STRUTHERS, J. Anat. Phys. 1875, p. 72 and p 29. Here then the 7th vertebra shews backward Homceosis, im- perfect on left side, but more complete on right. 19th having no ribs, shews the same, and this also appears in the absence of a •1th coccygeal. The fact that two entire lumbar nerves join the sacral plexus is also a variation of the same kind. But if the backward Homceosis were complete, the 24th vertebra should be the 1st sacral, and the 29th should be joined to the coccygeal. The change of articular processes moreover is in the normal place. An example like this brings out the difficulty that besets the attempt to find an individual homology for each segment. If the characters proper to each segment in the type may be thus re- distributed piecemeal amongst a different total number of seg- ments, the question, which in this body corresponds to any given vertebra, say the 25th, in a normal body, cannot be answered. 'The matter is thus clearly summed up by STRUTHERS (7. c. p. 75) : " The variation in this case presents some complexity. To which region is the suppression of the vertebra to be referred ? The lumbo- .sacral nerves would seem to indicate that the lowest lumbar vertebra is the usual 1st sacral set free, thus accounting for the seemingly •deficient pelvic vertebra, and leaving 23 instead of 24 vertebra? above. The appearance of suppression of a vertebra in the neck, is met by .the consideration that the 7th vertebra carries ribs, imperfectly de- veloped on one side, like cervical ribs. "Then, although only 11 ribs remain, the next vertebra below, though rib-less, has the normal articular processes of a 12th dorsal (19th vertebra). If it is to be regarded as such, and not as the 1st lumbar, then, the suppressed vertebra would be really a lumbar, although there are six free vertebrae between the thorax and the 8—2 ; UERISTIC VARIATION. [PARTI. is. Which. -\.-i- view be taken, this case is an interesting one, • •\hibith ir \ariation in every region of the spine, and as shewing tli.- importan.-.- "f i-x.-iiniiiing the entire spine before deciding as to •. ;iri;ii i"ii <>f ;ur. "in- partof it." T . . ili.- Question, which vertebra is missing, there is no answer; >.r mi h< T tin- an-wc-r is that there is no segment in this body • tl\ c..i T, -ponding tu the normal 7th, 20th, 2oth, &c.; that the diai.i'-t' i- "I t! ,.ial -.-gments are distributed afresh and ii|>"ii ii-> -trict, con-i-t.-nt plan among the segments of this body, ami that, therefore then- is no one segment missing from the li.-dv. Smvlv further efforts to answer questions like these ran lead t" in- ii-iTul result. \>!.-iii|iu t" interpret Variation by the light of simple arith- iii« -i if "nl\ i'» ol»ciiiv the real nature of Repetition and .:iii.-iital differentiation; for by constantly admitting to the miii'l tin- fancy that this Dimple, subjective representation of these pi- ifl ih«- right guide. and that the tangible complexity in which th<-\ present ili.-in^-lv.-x is ;i wrong one, we only become n-.-.l t«. an idea \\hifh i- IP. t trin- t' • tin- facts and the real difficulty nirk'-d. AM Illiol'ull) APES. 'rii'iiiL'li .-111111111; littlt- iliat i> ii.-w in kind to tlie foregoing speci- men-casee »••. urrini: in Man. tin' fnlli)wing instances of Variation in (In- \i-i-i. -In-:!' lit' tin- A nt li n i] mid A[II-> an- i if some intrn-M if unlv • ttiona "f tin- t'ai-t thai tin- tVci[iit'ncy of su«-h N'ariatinn has i,., necessary i-.-latiun t.. tin- i-i.n.liti..nx of civilization or domesti- cation. (<>n tin- snlijcct (.f N'ariat inn in tin- \.Tii-lira-nt' Antliropoids, • -p.-.-ially l!u>i.Nia ia.'~ li-t. M.,,-/>/I. ,l>il,,-l,. i. p. KJQ.) Troglodytes niger (ih.- ( Ihimpanzee). (In .-..i^id.'rin- cases -t' variation in the Cliinij.an/ee it should I).- biirni' in mind that th.-i.- .-in- >.-\,-r;il races and perhaps species in. 'hid. -d under this name, which have nut been clearly distinguished. I' ; il'l'-. iher.'fi.re, th.it xmie.if the \ariatimis recorded may I..- characteristic »t' th.--.- races and not actually individual varia- ti"' C 7. l» 13, I- I. > 5. 'I'lii- i- th.- t'.iniinla in th.- -n-.-it maj,.i-it v ..f Skeletons (v. aitctf.). An adult rVmale having (' 7. I '» 1 j. L |, s 5, (' .'>, \ I/., one ert.-bra and one pair ..f ribs lesil than iisn;i|. This is a specimen "f i" CHAILLU'I T. calvua. It was received united by the natural liu'.-iiii.-nt, and DO vertebra therefore is lost. Cut. Cott. Swg., issj, n. \". t. Specimen having rudimentary ribs une,|ually de\ doped on the L'.'nli vertebra was transitional ..r lumb,, .sa.-ral in character. -Jt'.th .".nth formed the v.-,,-rum and there w,-re 6 while oth.-r -p.-ciineiis had from '_' to I. For the lumbo- .1 pl.-Mi, ,,f this specimen, see No. 71. UOSKNHKKI;, CHAP, in.] VERTEBRA AND RIBS I GORILLA. 1 1 7 Jahrb., i. p. 1GO. 7'ables, Note 19. This case therefore shews forward Homoeosis in the presence of ribs on the 21st, also in the transitional character of the 25th, together with increase in total number. This increase is however not always found when the 25th is lumbo-sacral, for, on the contrary one sucli case quoted by Rosenberg had only 4 caudals (q.v.). In this form the number of vertebrae articulating with the ilium varies, and the number uniting with the sacrum is also liable to alterations probably connected with age. ROSEXBERG, I. c. : Cat. Coll. Sury., 1884, n. p. 3. Gorilla savagii. C 7, D 13, occur in all skeletons of which I have found descriptions, making therefore one pair of ribs more than in Man1. The number of vertebra? articulating with the ilium and the number joining with the sacrum vary, perhaps with age. Cf. ROSENBERG, I.e.; Cat. Coll. Surg.; STRUTHERS, J.Anat. Phys., 1875, p. 79 note, &c. *35. Adult female. C 7, D 12, L 4, S 5, C 3. This is a remarkable case. There is one rib-bearing vertebra less than usual, while the number of lumbo-sacrals is nine, as in the normal cases collected by Rosenberg. In a normal skeleton in the Camb. Mus. the articular processes change from the dorsal to the lumbar type between the 20th and 21st, but in this abnormal specimen the change is completed on the right side between the 19th and 20th as in Man, and on the left side, though the change has there also taken place, there is a curious irregularity in the fact that the posterior zygapophysis of the 19th is divided to form two processes which fit into two similar processes of the left anterior zygapo- physis of the 20th vertebra. The rest is normal. Cambridge Univ. Mas., 1161, F. [There is here, therefore, a backward Homoeosis of all vertebrae from the 19th onwards; perhaps also an absolute diminution in the total number of segments. The simultaneous variation of both the number of ribs and the position of the 1 Since this account was written, STRUTHERS has published a valuable paper (Journ. Anat. Phys., 1892, xxvn. p. 131), giving particulars of twenty Gorilla skeletons. Of these the following are especially remarkable. Female, C 8, D 13, L 3. The seventh cervical is formed like a sixth, and the eighth is formed as a seventh, bearing no rib. The vertebrae 9 to 21 bear ribs, those of the 21st being well formed and coming close to iliac crest. The change of articular processes from dorsal to lumbar type occurred between 21st and 22nd, namely, one vertebra lower than usual. There is thus a forward Homceosis in absence of ribs on 8th, in presence of ribs on 21st, and in the variation of position of the articular change. Out of 20 skeletons 3 have 14 pairs of ribs (on 8th to 21st) instead of 13 pairs. In one of these the articular change also occurred one vertebra lower than usual. On p. 136 a case is described in which there was a remarkable asymmetry in the structure of the articular processes, which as Dr Struthers has pointed out to me, is in some respects like that here described as No. 35 in the text. Struthers points out that it would be better in all cases to speak of the change of processes as from lumbar to dorsal instead of from dorsal to lumbar. I regret that this suggestion comes too late for me to adopt. 118 .MKRISTK1 VARIATION. [PARTI. <>t articular processes to the human numbers is especially worthy of notice-.] * Simla satyrus (Orang-utan). Out of eight skeleton* in the MM-. ('..I!. Surg., C 7, ]> 12, I. 4 occurs in seven. In young -[.• •• -iim-n- tin- distinction between the last lumbar and the tir>t •al i- . l.-arly shewn by presence of pleurapophysial ossifications in tin- t ran>\ .-I >.- processes of the latter. Thus though Simla resembles Man in the number of ribs, it differs in the total number of prae- i.il \ i i tebru-. Cat. Mus. Coll. Snrg., 1884, ir. p. 10. Tin- ananiri-nient C 7, \> IL', L 4, S5 occurs in a great number "t pecimens it'.ir cases quoted, see ROSENBERG, Murph. Jnhrl>., i. p. 1'H i. Tabellen : Cut. Mu«. Coll. Sury. Arc.) Adult male, Sumatra. C 7, D 11, L 5, S 5, C 2. J/».s. Co?/. .s'//, . \ . .",7. 87, Foetal skeleton. C 7, D 11, L 5, S 5, C 2. TRIKCHESE, S., A,, a. Mus. .•/'/•. .^f,,ri'i mil. H'liucn, 1S70, p. 4. :iv Adult. (' 7. l» 11, L 4, 8 + C, ankylosed together, containinu - pieces. Camb. Univ. J/MX., 11 GO, A. A. lult. C 7, D 12, L 4, 8 4, 0 3. The last lumbar shared in -.iippurtiin,' iliai- bones, i-i. BLAINVILLE, Ostcoyr., Primates, Fs<\ i. P. i".(. j.ii A yuun^' >pci-inii-n. well pivx-r\ fd : there were certainly L 4, S :\. 1 I, but in the adult mention. 'd above, one of the coccygeal was ji'iin-d t«i tin- -ac-niin. in; ]'>LAI\ vii.u:, !/,<./. 41. ^'Munu' >pi-i-iiiii-ii in ^|)irit, (' 7. I » I 2, L 4, S 5, C 2. ROSE.VBLIM:, I '. . .!/(./•/.//. Julii-li. i. p 1 ill i. 42. Sp,-ciiii.-ii in spirit, not full .Ltro\\n. ('7. \t 12, L 4, S 5, C 1. Tln-n- \va- mi d'.iil.t that only nm- (-u.-i-ygi-al was present. ROSENBERG, ibid. C. Hylobates. ( 'nn>id.-raM«- ditl'.-iviu'cs in the nuinber of vertebra? and nl^ fniind in tlii- -emis arc n-i-nrdi-d in tin- Catalogue of the MU-. -uni of tin- ('ollt-iri- "f Surgeons, ifec.; since however the specific di\i-imis nf tin- ^.-iiu- are very doubtful (see ('.itnl, ,,/n, . II. p. 15), it i> n. it po^il.l.- tu cniisider thev,. ;1S ne.-es^arily indixidual \ariations. 3ee ol o EIOSBNBERO, /.••., /'-/// '/.s-.] BRADYPODID^E. To the study of Variation of ih,. \n-tcliral iv-ions the phcno- inciia seen in tin- Sloths are of exceptional importance, and in attempts to trace the homologies ..f the segments special attention ha- aluay* been p,-ud to th.-in. The folloum-- table , ..... bains brief particulars ..f il specimens of Bradypus &nd II of CAotepws seen by niv-elf in Kn^li-d, museums, and .if a few others of which descriptions ha\.- been published. To these is added a smmnarv "•' -K' specimena of Bradypus and n of Cholcepus in (J.-nnaii museums1 examined by WELCKER. Bis account is tnifortiinately not -i\.-i, in detail, Inn I ha\e tabulated his results so tar as i's vi/- ' "• Tiil.iii>.'.-ii. MiirliuiK. b.'ii«/i/. Trankfuit. lii-rlin. (liossi-n. Jena and Hull.-. CHAP. III.] VERTEBRA AND RIBS : BRADYPUS. 119 possible. Welcker's list does not, I believe, include any of the specimens separately given in No. 44. The determination of the species is quite uncertain. Welcker in his analysis does not divide the species of Bradypus. In the other cases I have simply taken the name given on the labels. As regards Choloepus the confusion of species is much to be regretted, for according to the received account1 the more northern species, C. hoff'manni, has only 6 cervicals, while C. didactyliis has 7. In the table it will be seen that four specimens in different places have C 6, though generally marked C. didaotylus. Possibly some or all of these are C. hoffmanni, and I have therefore entered them as Choloepus sp. In the case of Bradypus it has not been alleged that the number of cervicals characterizes particular species, so the fact that the species are confused is of less con- sequence. *44. Bradypus. C D L ,9 C B. tridactylus 9 15 4 6 5 + C8 minute c. r. rt. C9 large c. r. both sides (one lost). I>15 moveable r. rt., fixed on 1. Camb. Mus. ) 5 9 15 4 6 8 + C9 no rib. Coll. Surg. 3427. 5 •» 9 15 4 6 9? Brit. Mus. 919 a. ; j 9 15 4 5 12 Brit. Mus. 52. 9. 20. 5. 1 » 9 15 45 5 10 C'9 c. r. J in. long. Univ. Coll. Land. ,, 9 14 4 5 11 C9 c. r. | ' ^j . Coll. Surg. 3428. sp. ? 9 14 4 5 9 Oxford Mus." 5 ) 9 16 3 6 11 Coll. Sunj. 3422. 5 ) 8 15 3 7 9? 7th sacral only ankylosed in part. Brit. Mus. 46. 10. 16. 14. } ) 9 15 4 5 11 (7s1 small rib-like horn on 1. Mus. Med.-Chir. Acad. Petersb. GRUBER'J. sp.? 9 GKUBER'S private collection". 9 STRUTHERS3 Cs may have borne rib 011 rt. i l.freec. r. 1st thoracic complete. C9 J rt. c. r. ankylosed. 1st thor. i in. ( long, like a c. r. ; aukylosed. B. cuculliger 9 15 4 6 9 C9 has pair short c. r. Brit. Mus. 921 b. B. torquatus 9 14 4 GRUBER2. ditto 5 6 10 Brit. Mus. 47. 4. 6. 5. Bradypus sp. „ sp. 8 8 15 15 l 3 specimens from Brazil said to have 8 cervicals. No detailed account sp. 8 ] given. BE BLAINVILLE4. 1 FLOWER, W. H., Mammals, Living and Extinct, 1891, p. 183. 2 GRUBER, Mem. Imp. Ac. Sci. Pet. Ser. vn., xin. 1869, no. 2, p. 31. 3 STRUTHERS, Jour. Anat. PJnj*., 1875, p. 48 note. 4 DE BLAINVILLE, Osteogr., Fsc. v., pp. 27, 28 and 64. In the place cited, de Blainville gives C 9, D 16, L 3, S 6, C 9—11 as the normal, but he does not say in how many specimens this formula was seen. I have therefore been unable to tabulate this observation. It will be seen that D 16 is quite exceptional, but as it occurred in the Coll. Surg. specimen no. 3422 it was -described by OWEN as the normal, and this statement has been copied by many authors, perhaps by de Blainville. 5 Fourth lumbar ankylosed to sacrum by tr. proc. 120 MUM-TK1 VAKIATK'V [I'ART I. MAKY OF 40 CASES: WELCKER'. llriiil',1' i • < J> 10 14 4 C10 no c. r 2 cases2. , 11 1 ) 10 ' or ( C'10 with o. r. of fair size. On C9 c. r. very 1 15 g \ mall or absent. i" 4 , 29th is 1st sacral. 9 or or 9 cases. [16 3 9 15 8 15 cases.) C9 usually with* 2Qthis 1st sacral. 9 U i (> ca c. r. 21 cases. \ 9 11 / ( | < ftrgc o. i. in- (-Minplete r. ) 27th or ( 3 .5 cases. (This normal in 1>. t< r- / is 1st 8 1 • ,t , : once in It. cuculliger.) ) sacral. (c. r., rib. C', C'7, d'c., sixth, seventh cervical vertebra, &c.) *4.V Cholcepus. C I> /, 8 Cd < . ilnl>h-tliln* 7 23 3 6 4 Coll. Sury. 3435. « « 7 •Jt B 7 >rd. 7 i 5 ('<>n. Surg. 3427 (Catalogue). 7 23 3 7 6 Coll. Sury. 3424. BJ>. 6 24 :t 6 5 < 'iiniliriiliie. •-!'• 6 23 8 !l 3or4 Hi-it. Mil*. 65. 3. 4. 5. -r. 6 .'•_' i - :. I'nir. Coll. Loud. 6 21 B - lirit. .1/n*. 1510 fc. tffmanni 6 22 5 - '. llrit. Mil*. 1510 C. • • 6 21 1 7 5 <'..//. .Vi/r*;. 3439. ( '. linlliiKiinii '.' 6 23 .' 7 r.' /.Y/f. .l/i/.v. MO. 5. fi. 84. >rMM.\|;V (IF H CASKS: W. i. KKUJ. > /• | /. ..Illl-ll/lll* 7 27 l-t -acral i- the .'{."•tli. 'J c-ases. ' • 7 26 l-i -ai-Mil is the :i4th. 2 cases. 'Finn mi i 6 -'7 1 -i ^ai-r.-il i- thr :{ tth. 1 case. 8 26 1-t -arial is tlic .'{.'fnl 1 case. 1 26 l.-t sacial is tin ifJnd. a cases. 1 \\'i i, t.i u. /,..,/. .{„.. i>:>. i. p. _.. : This indinl. - i • | -|.rrim,-n (in natural li:_':iniriits) described by \>it. I'nt: r-../. I- ,1, nt., Tu Li i :p n. ed. I- Hi. ]•. IS. ••••iiiifii is l.il.,'ll.'.l C. •//!/'/. -tiiliif. but c.uiiiiit,' frmii Kcu:iili>r and ha\iii^' •ol.alily C. /I.I//HI -i u ni. I ('< unp-ii •• TinnM". <)../'. /f. .s1., 1S80, p. 4112.') In '1 rili iirtii-iiliitii)^ with shaft •>!' thr lir-t tlmracic rib. .l-7>. i. |i. '.".I.".. In a -|" -cini. M in I.i'i|./i|.' Mu-i inn. n.i. l.V.i. the C,tb i-rrviml hears large libs, of ;hr stmiuin, BO that \\Ylrk, i S&JB that 'there are "ill-. errical vi [n another of these specimens then1 is a cervical rib I'.' nun. CHAP, in.] VERTEBRAE AND RIBS : BRADYPOD1DJE. 121 On this evidence several comments suggest themselves. First it should be noted that the Bradypodidae strikingly exemplify the principle which Darwin has expressed, that forms which have an exceptional structure often shew an exceptional frequency of Variation. Among Mammals the Sloths are peculiar in having a number of cervicals other than 7, and from the tables given it will be seen that both the range and the frequency of numerical Variation is in them very great, not only as regards the cervicals, but as regards the vertebrae generally. As concerning the correlation between Variation in the several regions, WELCKER points out that his results go to shew that there is such a relation, and that when the sacrum is far back, the ribs also begin further back, or at least are less developed on the cervicals. As he puts it. with a long trunk there is a long neck. This is a very remarkable conclusion, and it must be admitted that it is, to some extent, borne out by the additional cases given above. The connexion, however, is very irregular. For instance, the Cambridge specimen of Bradypus, though the 29th is the 1st sacral, has had cervical ribs of good size on the 9th vertebra, and even has a small one on the 8th. But taking the whole list together, Welcker's generalization agrees with the great majority of cases. Expressed in the terms defined above, we may therefore say that backward Homceosis of the lumbar segments is generally, though not quite always, correlated with backward Homceosis of the cervicals, and vice versa. It will be seen further that this Variation concerns every region of the spine, and that even in the total number of prae-sacral vertebrae there is a wide range of variation, viz. from 27 to 29 in Bradypus (52 specimens) and from 30 to 34* in Cholcepus (20 specimens). Perhaps no domestic mammal shews a frequency of variation in the fundamental number of segments com- parable with this. In this connexion it may be observed that the absolute number of dorso-lumbars in Cholcepus (25 — 27) is ex- ceptionally large amongst mammals ; but this is not the case in Bradypus. If the case of Bradypus stood alone, some would of course recognize the occtirrence of cervical ribs on the 9th and 8th ver- tebrae as an example of atavism, or return to the normal mam- malian form with 7 cervicals. The occurrence of normal ribs on the 7th in Choloepus and the occasional presence of cervical ribs on the 6th vertebra in this form, even reaching nearly to the sternum as in Welcker's Leipzig case, obviate the discussion of this hypo- thesis. We have, then, in the Bradypodidae an example of mammals in which the vertebrae undergo great Variation as regards both their total number and their regional distribution. As the tables shew this is no trifling thing, concerning merely the number of the caudal vertebrae, the detachment of epiphyses \vhich may then be 1'J'J MKIUSTK VARIATION. [PART I. called ribs. ,,r some other equivocal character, but on the contrary it el i" -id. -s changes in the number of prae-sacral segments that i- of large portions of the body, each with their proper -u|i|.l\ of nerves, vessels and the like, producing material change in th.- mechanics and economy of the whole body: this moreover in wild animah, struggling for their own lives, depending for their -tenet- on the perfection and fitness of their bodily organiz- ation. CARXIVOK.V. Th.- following cases, though few, have an interest as exemplifying \.-rteliral Variation in another Order. Id. Felis doraestica. In all the skeletons of FELIU.E that I have mined the formula is C 7, D 1 :i, L 7, S 3. A specimen of the domestic Cat ha\in^ C 7, I> II, L7 is described by Struthers. The chain:.- of aiticiilar processes from dorsal to lumbar was completed between the l>th and L 9th vertebra but the posterior zygapophyses of the 17th, though of the dorsal type, have to some extent the characters ..f .1 t ran-it ion joint. A- is -tat«-d below, the change in the domestic Cat iiormallv occur- h.-t \\i-i-n the 1 7th and 18th. I n this case therefore \\ith increa-e in niiinlicrs of ribs the position of the articular change varied. Thi-. , , , d.-scrilied by STRl'THEKS, ./. Allot. /"*//?/,>(., 1S7-"), p. 'il, .V«'- . hut the description there given differs in some respects from that -tated alio\e. which i- taken from a letter kindly written l>v l'rnfe--,ir Struthcr- in an-u.-r tn mv inquiries. There i- h.-re forward lloiinro-i-, in the development of ribs on the •_' 1 i vertebra, in the alteration iii position of the articular change, and in the fad that the L'Sth i- not united to the sacrum. \ een in -..ni.- other cases, then-fore, with forward Homoeosis the numher of pne sacral \erteln-;e is increased ; hut as usual owing to the ei|iii\ncal nature of caudal vertehr.-e it is not possible to state that tin- total numher of \eitehra- is greater. Canis Vlllpes. N >rmall\. C 7, 1> !•">. L 7: articular change from dor .d to lnmhar het \\een 17th and l>th. 1-7. Specimen ha \in-_' C 7, l> II, I. t'>. in which further the articular chani.'.- occur- partly li.-t \\een the 17th and l>th. and partly between the l^lh and I'.'th. In Mux. Coll. Sn^/. /,'.///;. Information as to thi- -pecjnien \\a- kindly sent im-hy Professor STROTHERS. Jackal. Spi-.-iim-n h,i\in_; ('7. l> I .'!. L s instead nf 7. Articular change as u-u.d h.-t ue.-n 17th and Isth. S'rufnir.iis /// //'//. (•!!. Canis familiaris. Case of ,-.-r\ieal ril> mi left side borne by 7th • •epical. This rili \\.i I in. |oi,.r and articulated with a tubercular elevation on the 1 -t thoracic rih of the same side. The remaining rili- and \ .-rt ehra- were normal. full\ described] CUTHKU, W., A ,-<•!(. /. Anal. /'////>•., „. wits. .]/,,/.. IM',7. p. 'li'. Plate. [In connexion \\ it h t he foreifoin^ nli-,T\ at imis it mav he inent inm-d that the arti-'idar chain.'.- does imt take place in the same place in all In t specimens of /•'. /,,,, -j ,,f /•: //'//•;>• and •_' of /•'. 1,,,,-tIn*, in Edinburgh, and in one |.i,,n and one Ti-vr in Camhridge the lumbar type he-in- 1,,'tueen the l>th and l!'tlia-in Struther's aluiormal Cat CHAP, in.] VERTEBRAE: REPTILTA. 123 above described; but in 4 F. domestica, and 2 F. catus in Edinburgh, I F. domestica, I F. catus, 1 F. concolor and 1 Cyncelurus jub it is peculiar. Four specimens shewed the following arrangement II . Lori-ilium N". 1. First caudal is the 36th vertebra (Troschel). fliit.. L'. 37th (Baur). // lum NTo. 1. 38th (Shufeldt). • litt.. No. 'J 39th (Baur). B.u-ii, G., ./. ofMorph. iv. 1891, p. 335. BATKACHIA.' Rana temporaria. In the normal frog there are nine sep vertebrae in addition to the urostyle. A specimen is d' — Tili.-d l.v i;m KNE having 10 free vertebrae (Fig. 11, III.). The a\i- nii'l thinl \. it. lira bore tubercles upon the transverse pro- l».-rli.-i|i- r--|>r<-.>fiitiiii,r a partial bifurcation of the kind • I.-- -i ill. il in Nu. ."is. Tli-- ninth M-rtL-bra was abnormal in having gapophyses, and in ihar its centrum presented two concavities •v ^ afS> HI 11 '• 'I. Vertebral colomna of Frog (JZana temporaria), after BOUKKB. '• " liiiviii.- tr;ni^vrr>(. iirocesses borne hv tin' atlas, tom'th.T witli other abnormalit ii.nl in tf\t No. 58. II N"i ni.tl \".'|-trl.r;il <'ciliiinii S|..vim.'ii liii\in.- t.-n free vertebra, .1. jorib -.1 in text, No. -36. I ri'k'n-l tli:it tl..- ! ,iin/ ..ii this Mll,j.rt ];it,']v ]Mll,li,l,,.1l by Al.OLPHI Jahrb., ivj, ,i,. ,,. 818, appeared too Int.- t.. permit me to incorporate the valuabli I icta it contains. CHAP, in.] VERTEBEyE : BATRACHIA. 125 for articulation with a tenth vertebra. The right zygapophysis was well formed and articulated with the tenth, but the left was rudimentary. The tenth vertebra itself had an imperfect centrum and the neural arch though complete was markedly asymmetrical. Posteriorly its centrum presented two convexities for articulation with the urostyle. [For details see original figures.] BOURNE, A. G., Quart. J. Micr. Sci., xxiv. 1884, p. 87. This is a case of some importance as exhibiting Meristic Variation in a simple form. Of course, as Bourne says, we may say that in this specimen the end of the urostyle has been segmented off and that it is composed of " potential " vertebra?, and as he also remarks, it is interesting in this connexion to notice that some Anura, e.g. Discoylossus, present one or two pairs of transverse processes placed one behind the other at the proximal end of the urostyle. But this description is still some way from expressing all that has happened in this case ; for beyond the separation of a tenth segment from the general mass of the urostyle there is Substantive Variation in the ninth vertebra in correlation with this Meristic Variation. For the ninth has devel- oped a zygapophysis and has two concavities behind, like the vertebra? which in the normal frog are anterior to the ninth. There is therefore a forward Homoeosis, associated with an increase in number of segments, just as there is in such a case as that of Man (No. 26) or in that of Galictis vittata (No. 50). It is also interesting in this case to see that the actually last free vertebra here, though it is the 10th, has two convex articular sur- faces behind like the 9th, which is the last in the normal frog, thus shewing a similar forward Homoeosis. Now applying the ordinary conception of Homology to this case, we may, as Bourne says, prove that the 9th in it is homologous with the 9th in a normal frog for its transverse processes are enlarged in the characteristic manner to carry the pelvic girdle. But similarly we may prove also that the tenth in this case is homologous with the ninth of the normal, for its centrum has the peculiar convexities characterizing the last free vertebra, Baur's proof that the first caudal was homologous in the two specimens of Gavialis (see No. 54) rested on the same class of evidence, and for the moment is satisfying, but as here seen this method though so long established leads to a dead-lock. Upon this case it may be well to lay some stress, for the issues raised are here so easily seen. Besides this the imperfect condition of the extra vertebra enables us to see the phenomenon of increase in a transitional state, a condition rarely found. In the instances recorded in Gavialis (No. 54), owing to the perfection and completeness of the variation, the characters of the 1st caudal are definitely present in the 28th though normally proper to the 27th, and therefore it may be argued that the 28th here is the 27th of the type. The frog here described shews that in this conclusion other possibilities are not met. On the analogy 12G MKKISTIC VARIATION. [PARTI. of several cases already given, it is not impossible that it' the variation -<•• -n in this frog had gone further, the 10th vertebra iiii^lit alone support the ilium (cp. Nos. 57 and GO) and thus pre-.-nt the characters of the normal 9th in their completeness. Jf thi- change had taken place, we should have a case like that of 1,'i'i'ilin, and there would be nothing to shew that the new loth •• l.ra was not the 9th of the normal. The truth then seems to I- that owing to the correlation between Meristic Variation pro- ducing change in number, and simultaneous Substantive Variation producing a change of form or rather a redistribution of characters, tin- attempt to trace individual homologies must necessarily fail ; t«-r while such determination must be based either on ordinal P»Mtion or on structural differentiation, neither of these criterions are really sound. As I have tried to shew, the belief that they are SO depends rather on preconception than on the facts of Variation. •;,7 A male -pe.'iineii of R. tti/i/»upport tin- ilium, which on the left side was entin-lv 1-orii'- 1-y tip- large transverse proct-ss of the 10th. On the right -id<- the tran.-\er-e processes of both 9th and 10th were developed to -uiiport th'- ilium, neither being in it-elf so large as that of the loth on tip- left side. Tin- !Mh \\a- concave in front instead of convex a- ii-ual. and thus tin- Mh which i> normally biconcave is ci.nv-x In-hind. Tin- posterior t'aci-s of l»otli !Uh and 10th bore two convexities Midi as .-in- normal to the !»th. The nrostvle was normal, having \\.-ll-dev.-loped aperture^ for exit uf the last pair of s|iinal Derves. Il gone -till furtln-r, and the new 10th vertebra bears the ilium wholly ,>\\ th<- 1- tt *[<{<• and in part on the right. The con- dition U thu- again int.-rmcdiat.- between the normal and a com- plct.- traii-torination ot tin- !»th into a trunk vertebra and the introduction .,(' a 10th to b.-ar the ilium (as in Xo. GO). As regard > the hoinologi.-s of the vertebrae, the same issues are a-ain raided which w.-n- indicated in regard to No. 56. Rana teraporaria : Case in \\hi.-h transverse processes were present in tin- atlas \.-rtcln-a and the transverse processes of several of the vertebra were al. normal (Fig. 11. [.). The atlas possessed well- developed t ran ^\ . •!•>•• pr. •.•••^•-i-v. In i lie axis the transverse processes are direete.l forwards instead Of Kackwank and that of the I. ft -Me presents an indication of bifur- tion al M - e\t remit v. 'I'll.- third \.-rtel, ra j .,1 two pair- ,.f transverse processes which are joined together for two-thirds of their length. The fourth CHAP, in.] VERTEBRAE: RECAPITULATION. 127 vertebra presents a transverse process on the right side which is bifur- cated at its extremity. The remaining vertebra1, though slightly asymmetrical, present no special peculiarity, except that the neural arch of the ninth vertebra is feebly developed. BOURNE, A. G., Quart. Joura. Micr. Sci., 1884, xxiv., p. 86, Plate. There is here backward Homoeosis of the atlas, the only case of the kind I have met with1. The reduplication of the transverse processes of the third vertebra should be studied in connexion with the cases of double vertebrae in Python (No. 7) and the cases of bitid rib (in Man, No. 12), for they present a variation perhaps inter- mediate between these two phenomena. Bombinator igneus. In this form there is a considerable range of variation in the development of the transverse processes for the attachment of the pelvic girdle. 59. GOTTE figures a specimen in which the flat expanded transverse processes have a similar extent on the two sides, but while that on the right side is made up of the processes of the 9th and 10th vertebne (in about the proportions of two to one), that on the left side is entirely formed by the transverse process of the 10th vertebra. GOTTE, Entw. d. Unke, Atlas, PI. xix., tig. 346. *60. Sardinian specimen figured in which the processes for the attach- ment of the pelvic girdle seem to be composed entirely by those of the 10th vertebra while those of the 9th are not developed. GENK, J., Mem. Reale Ac. di Torino, S. 2, i., PL v., fig. 4. 61. Specimen figured in which both transverse processes of 9th and of the lUth are almost equally developed to carry the pelvic girdle. CAMEKANO, L., Atti R.Ac. tici. Torino, 1880, \v.,fg. 3. 62. Specimen in which the left transverse process of the 9th bears the pelvic girdle on the left side, and the right transverse process of the 10th bears it on the right side, while the corresponding processes of the opposite sides were not developed. Similar case recorded in Alytes obstetricans by LATASTE, Rev. int. des Sci., in., p. 49, 1879 [not seen, W.B.] ; ibid. Jig. 4. (j3. Specimen in which the transverse processes of the 9th alone were developed to carry pelvic girdle, but the proximal end of the urostyle was laterally expanded more than usual, ibid. p. 7, Jig. 3. [Case of hypertrophy of coccyx, ibid. Jig. 6 ; ad hoc v. BEDRIAGA, Zool. Anz., 1879, ii., p. 664; CAMERANO, Atti R. Ac. Sci. Torino, xv., p. 8.] Recapitulation of important features of Variation as seen in the vertebral column. I. As regards fact. 1. The magnitude of the variations. 2. The rarity of imperfect vertebrae. 3. The phenomenon of imperfect Division of vertebrae and ribs. ADOLPHI, L c., p. 352, PI. xn. fig. 3 gives an account of a specimen of Bufo variabilis in which the atlas bore a transverse process on the left side only. In this specimen the first two vertebras were united and their total length was reduced. L28 MKIMSTir VAKFATlnx. [PARTI. 4. The frequency of substantial if imperfect bilateral sym- metry in the variations, but the occasional occurrence of asymmetry also. '». The special variability of some types, e.g. Simla xutyrus: the Bradypodidae ; Borribinator igvwus. ('). The evidence iliat this variability may occur without the influence of civilization <>r domestication, 1 1. As regards principle. I The occasional, though not universal, association of for- ward Homujosis with increase in number and of back- ward Homueosis with reduction in number. '1. Tli-- frequent correlation between Variation in several regions, such correlated Variation being sometimes unilateral. •'!. Tin- ini|»..>-ihiliiy .,( applying a scheme of Homology 1" t u.-.-n individual CHAPTER IV. LINEAR SERIES — continued. SPINAL NERVES. THE spinal nerves compose a Meristic Series in many respects similar to that of the vertebrye. As between the vertebras, so between the spinal nerves, there is differentiation according to the ordinal succession of the members, certain distributions and func- tions being proper to nerves in certain ordinal positions. The study of the way in which Variation occurs in this series is one of great interest, but unfortunately it is extremely complicated. For while as regards vertebras the distribution of structural differentiation can be recognized on inspection, in the spinal nerves to obtain a true knowledge of the arrangement in any one case physiological investigation or at least elaborate and special methods of dissection are needed. Though it is therefore impossible to introduce any account which should at all adequately represent the great diver- sity of possible arrangements, it is nevertheless necessary to refer briefly to the chief results attained by these methods and to the principles which have been detected in the Variation of the nerves. It must of course be foreign to our purposes to examine the many diversities of pattern produced by the divisions and anastomoses of nerve-cords in the formation of plexuses, &c., and we must confine our consideration to cases of Variation in the distribution of dif- ferentiation among the spinal nerves, that is to say, in the segmen- tation of the nervous system in so far as it may be judged from the arrangement of spinal nerves. Some conception of the magnitude and range of Variation found in single species of Birds may be gained by reference to the beau- tiful researches of FURBRINGER \ A table is given by Flirbringer, shewing the number and serial position of the spinal nerves which take part in the formation of the brachial plexus in 67 species of 1 Furbringer's memoirs are of such magnitude ami completeness that I have felt it to be somewhat of an impertinence to attempt to make selection from them ; and it must be remembered that from the isolated and typical cases here given, only a distorted view of the evidence can be gained. As regards this subject, therefore, reference to the original work is especially needed. B. 9 130 M KIMSTK ' VARIATION. [PART 0! 3 X * i - X X X X X X X X X X x X X X a X 1 1 » c; u X X £ t o c « £ J 1 - ^ = E Q en a T: .1 = -i. i ^ - ~ •£ : — ^ ~ ^ = 1 -P a a q a X X X X X X X XX XX XX XX X x X XXX XX X X X X XXX XX X M — — — E:: = -^ ss M — >> X X X XXX XX ,-H S X Ws, XX XXX ^x >• l» X -XX x X X X X X X X X XX ^ *v* 'V "v* |"( r « ("i r 1 X s xxxxxXX XXX X X . / / / / / XXX XX >» > xxx X XXX X if « - m •B - 3 J: ^ ^ P — — ~ — X — X — " x •— ' X X • — - - E •r. - -*3 § 1 ^ / - - . - itralia C.ilyiii(iii~ an-licn < 'liii.ii-.ic. phalns i > « I'litl'mii- i.li-ciiru- Peli All • M- • t-t - - . .- . _ 4J ed • - - - u £ 1'hu IlicMpt. : ( ini-i oanadi ( li:ira.liius ])luvia 1 . line (lulu. ' • 11 Opisthocomus cri (Jinira coronata . CHAP. IV.] SPINAL NERVES I BIRDS. 131 XI XI X! t X •/, XXIII. M hH XI X! hH XI X X X X hH X hH hH XI hH hH XI hH XI ; hH hH hH :XIXIX! XI X ; CN r-\ v^\ rS i^N rN KN \ I^N r*H r*^ kj^ ^ ^ *•> V^ ^> ^ r^ rN r s rS rN K*S rN > »»»»»»» » > » » XI X xxxxxxxxxxxxxx r*H c"N c^ ri r\ r^i rN hH hHhHI-HhH 'hH ' xl X xxxxxxxxxxxxxx XI X! XI XI XI XI XI hH 1— 1 XI hH hH XI hHhHhHhHhHhHhHI— IhHhHhH hHhH hHhHhHhHhHhHhHhHhHhHh-i hHhH X! XI XI XI XI X) Xi M M X M XIXI hH hH hH hH hH hH hH hH hH hH hH hH hH hH XI XJ XJ XI XI XI X! . . X X) XlXlXI XI XX XX rS r^ X xi X . . . —-- . -. • co • 3 K ::::::: ffi ^ 3 : : • V. * O -'73 "? '. : : 3 IH Columba livia . S o> *."5o • • « -2 « a -&§ „ ^ : : r^ .3 g 3 ,0 ^s 3 '^sp Eo ^ ^ os ^5 c« 3 -g co co gj o § ^ g =S >^ s = = = =« S8| JS =SSg 2 ^^ 'B Sfel t> PQO PH P50P-I 'co rs I =1 11 -'C "^ « "3 - > co § p, 1 =i -N - O '•" •-,!-> - 0) 03 03 O O OH cS O 00 00 00 3 X ^ .8 CS a :p s "So 0) 1 2 u -2 '3 a: o c3 a 'tp 'C o 0) o> CO a I 5 cc sc I O PH 9—2 132 MKKISTK VARIATION. I'.nd- investigated by himself. He also gives particulars of the individual variations which were found in certain cases. From thi- table tl».- following statement is compiled, shewing the most iin|,'.r!aii! diversities met with and the instances of individual \ a- i-i:iii,,n. In tin- majority of cases the most posterior spinal nerve ,,f the cervical region was the most posterior nerve of the brachial ple\u-. l.ut in a certain number of cases it does not join the plexus ,il : in some other cases the anterior spinal nerve of the dorsal on al-o takes |> -u-t in forming the plexus. As the table shews, of these plan* has been likewise met with as an individual \anat i"ii Furbringer's table shews 3 as the minimum number of spinal n. TM- found taking p;irt in the formation of the plexus of any bird orvus abyssimcus): the same number has been found as a ininiinuni by other observers iii other birds (v. FlJBBKINGER, p. 24-2. • i. Tin- maximum number was (i, found in Charudrtitx and -ome specimen- of <'»liiiii1>n. The plexus is generally formed by 4 or .". -phial n«T\ • S In cases where -everal individuals were examined, individual variation was generally found, as in A user, Po and they may even be unilateral. «.w in^ to the ti'ausit ion between the cervical and dorsal vertebra' being effected al different point- o|i t he tVVo >ideS of t lie body. Particular- ar< given respecting the average proportions of the several root- in the different arrangement^, but the arrangement Or -i/'- of the roots r.-latively to each ..ther was not found to bear anv constant relation either to the sv-tematic position of the bird, * « or to it- -i/.e. or to it- capacity for flight. It was however generally found that there was a certain relation between the relative si/e of the root- an. I the length of the neck in birds with a plexus Coiu- p..~ed o| IMIH- roots. In this case the greatest thickness was gener- ally either in or anterior to the middle roots of the plexus in short- n.-cked bird-, but posterior to the middle .,f the plexus in long- necked bird-, but even this rule was imt at all closely observed and many except ion- occurred. Fi i; r,i;i M; 1:1;, /. <•. p. 24-S. In \ariation in the ordinal positions (lf the spinal nerves com- pM-ing the plexu-. tin- pattern of the plexus as newly constituted CHAP. IV.] SPINAL NERVES : BIRDS. 133 commonly bore a resemblance to the original pattern of the plexus, a phenomenon which FtlRBKINGER has called "imitatory Homo- dynamy " or " Parhomology " of the plexus1 (/. c. p. 245). Correlation between the constitution of the brachial plexus and the position and number of moveable cervical ribs. 65. Anser cinereus, var. domestica. Upon this point Flirbrin- ger has made a series of important observations, especially in the Goose, which enabled him to state that there is, within limits, a certain correlation between the composition of the brachial plexus and the development of the ribs of this region. Speaking gener- ally, those individuals in which the plexus was formed in a more anterior position usually shewed a fairly developed cervical rib on the 18th vertebra (Anser), and even as in Fig. 12, I, a very short but moveable rib on the 17th vertebra ; and in such cases the 19th vertebra generally bore the first true sternal rib. On the other hand, examples with a more posterior development of the brachial plexus shewed not only an entire absence of moveable ribs on the 17th, but even a considerable reduction in the size of the ribs of the 18th and 19th vertebrae, so that these became "transitional" in character, leaving the 20th vertebra as the first vertebra bearing XV XVI All/ Ci X\7 XVH FIG. 12. Diagrams of brachial plexus and cervical ribs in two Geese (Aiiser cinereus, var. domestica) after Fiirbringer (being his specimens D, left, and G, rir>lit). I. Case in which the 17th and 18th vertebrae bear cervical ribs and the 19th bears the first sternal rib. II. Case in which the 17th and 18th vertebras bear cervical ribs, and the 20th bears the first sternal rib. ax axillaris, bri brachialis longus inferior, brs brachialis longus superior, cbri coraco-brachialis internus, ci cutaneus brachii inferior, cs cutaneus brachii superior, i'c iutercostals, Id latissimus dorsi, p pectoralis, r/* rhomboideus, sbsc sub- scapulares, srpr nerves to levator scapulas and serratus profuudus, srsp nerves to serratus superficialis, stc sterno-coracoideus. 1 The principle denoted by these expressions is nearly the same as that here expressed in the term Hornceosis, which is perhaps more convenient as being a more inclusive expression. M 1.1 ; I -11 < VARIATION. [PART i. iru. -:. inal ribs (Fig. 12, II.). The measurements are given by l-'i i;i:i:isi.i.i: tor 7 specimens, of which those relating to two ex- TM -me cases (here figured) are appended. Ribs of Ribs of Kibsof Rihaof 17th vert., length in mm. 18th vert., length in mm. 19th vert., length in mm. 20th vert. I. \ rt. 2-5 20 23-5 (sternal) (sternal) < 1. 2-75 •_'! -j:i-7". i-t'-rnal) (sternal) II. ) rt" 7 51 + 13-5 ligt. and cartilage 59 (sternal) "1 • : . . I . — la-s 51 + 15-5 ligt. and cartilage 60 (sternal) l-'i IMIKINGER, M., Mnrjih. Julirb., 1ST!), v. pp. 3SG and 387. 60. l-\ <-'.in|i:iri>itii of specimens of the Pigeon, Columba livia, var. domestica, .1 Hiuilar correlation was found to occur, as shewn in KILT. 1') I. ami 1 1. 1 Fiirbringer's specimens A and E). Cr \W tr M\'frXl' St' XI Id I! FlO. 1H. 1 1; i l.iMcliial ].!i-\n~ and cervical ribs in two Pigeons (C. lii-/,i, vnr. >/••;/. ' MIT l-'iirlirin^iT. I. C:i>.- in \\liich the l-.'th. i::tli :in.l 1 1th vn trl,r:i. IM.IV ccrvioal ribs. II. Case in which tin- i::th. 1 hli :ni\\ measurements of the ribs of imlividuals were as fol- l;ib-..r i;ii,- Bibs of l-'tli vnt., i:;th vert., 1 1th vert., Kil.s «,f Ribs of lengtn in length in Imgth in l.'.th v. it. H'-th vert. linn. inin. mm. i I rt. 1H 25 1st sternal 2nd sternal / 1. :< 20 -'' 1 al -tfi nal 2nd eternal II. 3 1s (ilaiiia^'rdl 1st sternal ' '• 1- 23 1st sternal CHAP. IV.] SPINAL NERVES : MAN. 135 67. The same correlation was established in the case of the Jay Garrulus glandarius, but an actual variation in the number of moveable cervical ribs is not recorded in this species (see Fig. 14, I. and II., Flirbringer's specimens A and D). FURBRINGER, M., Morpl. JctJirb., 1879, v. p. 375. CrXIVCr XV St> Cl FIG. 14. Diagrams of the cervical ribs and brachial plexus in two Jays (Garrulus glandarius) after Fiirbringer. I. Case in which the brachial plexus began from the xith nerve, the cervical ribs of 13th and 14th vertebra being longer than in II, a case in which the xuth is the first nerve contributing to the brachial plexus. Letters as in Fig. 12. The measurements of the two specimens here figured were as follows : Eibs of 13th vert., length in mm. Ribs of 14th vert., length in mrn. Ribs of 15th vert, (with sterno-costal parts), length in rnm. I. II. rt. 1. rt. 1. 5 7 3-5 3-5 18-5 20-5 17-25 16-5 24-5 26 22 23 FURBRINGER, M., Morph. Jahrb., 1879, v. p. 363. But though this correlation between the nerves and the ribs is on the whole decided and unequivocal, it should be explicitly stated that it only occurs within certain limits and is not universal, and this statement of correlation is far from covering the whole FURBRINGER, /. c. p. 387. ground. BRACHIAL PLEXUS. *68. Man and other Mammals. By minute dissection of the brachial plexus in fifty-five subjects (32 foetal and 23 adult) HERRINGHAM obtained important evidence as to the parts sup- plied by the fibres of the several spinal roots forming the plexus, and as to the considerable variation which occurs in respect of this supply. Of the facts thus arrived at, two examples may be quoted 136 MKRISTIC VARIATION. [PART i. in illustration, concerning the composition of the median and ulnar IM-I jpectively. Tli.- ni'i/iiin is formed by two he-ads from the plexus; into the outer h.ad ili«- Vlth and Vl'lih spinals enter, while the inner is t..im.-d bv branches of the VHIth and IXth, sometimes with the ailditioii of some bundles of the Vllth. The presence of film - froin ill-' \'llth depends on whether the anterior branch of the VI Ith bifurcates, «.r goes wholly to the anterior (outer) cord of the pl.-xu-. In order bo - e whether both Vlllth and IXth contribute the median, twenty-eight dissections were made, fourteen in infants, fourteen in adults. In one foetus and in one adult no branch tn-m the JXth was found, these being the only except inns the rule that b..th VI lMi and IXth send fibres to the median 'I'll.- median i- ill' n made of the Vlth, Vllth, Vlllth and I \th. but the-,- roots in> -i mies larger than the bundle from the IXth. Tin- origin of ill.- nliKir n.r\e was traced in thirty-two cases, fourteen being adult-. It \\a< fuiind to arise in four differ, i it \\ays. M..-r .-.1111111. .lily it arose tr<>in tin \'lllth and IXth: this occurred in tuenty-thi. .- cases. With the Vlllth and IXth is sometimes combined a -trand from tin- \'llth, as shewn in five cases (four fn-tal. '.in- adult). In thr.-r t'u-tal cases it arose from th'- \" I 1 1 1 h niilv. and in mi'- fo-tal and one adult case from the Vllth and VI I Ith. The Vllth is only added t<> the idnar in some of those -in \\hi.-h it gives a branch to the posterior (inner) cord of the pi. \n-. In several cases the branch t'n .m the X'lIIth was much larger than thai lr..ni the IXth, but the reverse \vas never met with. K\ ill. -nee similar \« the above is ^i\en respect in-' other nerves tr..m the bra.-hial jilexu-. Ft. .m the re-idt- of t he in\e>| igat i«.n ;_;< in rally, it a]i]ieared that the ran^e of N'anatioii tlnnigh considerable was ii"t extravagant, and that uln-n [.arts, usually sii].]ili.d by sdne given nerve root, an- -ii|.|,li. d by some oth.-r n<»\. this otln-r rod i.- then eith. r the one aiiieriitr or the one |>.»teri..r \» the rod lidn \\hich the sit]>]>lv Dormally cornea Sum.- muscl. - seemed to bear definite relations to each other and their nerve >u|>|ily seemed also "to \arv solidly," their Derve .-u|.|.lie- remaining the same ivlativelv to each other, though d. ii\.d from a different root. "The besl example of this is in the three miis.-les which are attached along the inner side of the bicijiital groove, lh.- siibsca|.ularis, t.-r. - major, and latissimus d.'i'si. The tn-t i- n-iially sU].].li.-d b\ the Vth and Vlth, the Second b\ the \'|th, and the last by the Vllth, and however much th.-y max \ary above and be]..\v their t\pical place they do not change their relations to .a.-h other. A similar relation exists between the t\\.. supinatoi-s and the two radial extensors. rJ'he.s.- CHAP, iv.] SPINAL NERVES : MAN. 1 37 last are sometimes supplied by the Vlth, sometimes by the Vllth, but they are never in any case placed above the supinators. These are always supplied by the Vlth alone. The flexor group in the forearm show a similar fixed relation." Herringham concludes that " the nerve roots are not always composed of the same fibres, but that what is in one case the lower bundle of the Vth may be in another the upper bundle of the Vlth, and what is now the upper bundle of the VHIth will at another time be the lower of the Vllth root." Hence the following principle is enuntiated : "Any given fibre may alter its position relative to the vertebral column, but will maintain its position relative to other fibres." HERRINGHAM, W. P., Proc. Roy. Soc., XLI., 1886 pp. 423, 427, 430, 435. By physiological methods, SHERRINGTON working chiefly on Macacus, but on other animals also, found that this principle sub- stantially holds good for the outflow of fibres throughout consider- able regions of the cord, but that it is not always applicable to great lengths of the cord, for the brachial plexus may be consti- tuted in a region which is near the head end in comparison with the place of origin in other individuals, while in the same individual the sciatic plexus may be constituted in a region which is for it comparatively far back. No exception to the principle was found in the sense that a given efferent fibre which in one individual is anterior to some other particular fibre is ever in any individual of the same species posterior to it. SHERRINGTON, C. S., Proc. Roy. Soc., LI. 1892, p. 76. This principle of Herringham's is analogous to that which in the much simpler case of Variation in vertebra was pointed out on p. 107. It was stated that in such Homceotic variation no gaps are left. If a vertebra assumes a cervical cha- racter, it is the 1st dorsal, and so on. The following noteworthy case is described by HERRINGHAM in an infant. It should be borne in mind that to a normal brachial plexus the I Vth nerve gives a small communication, the Vth, Vlth, Vllth, VIII th and IXth give large cords, while the Xth (or Ilnd dorsal) gives a minute fibre only. In this abnormal specimen, on the left side the part from the Xth was as large as that from the IXth, and this was as large as the VHIth, whereas the natural proportion of Vlllth to IXth is about 2 to 1. The musculo-cuta- neous received from the Vllth, instead of from the Vth and Vlth only as more commonly found ; the median received no Vlth (v. supra) ; the teres major was supplied by the Vllth alone, instead of by the Vlth ; the circumflex received from the Vllth, instead of Vth and Vlth alone as seen in 43 cases without any other ex- ception ; the musculo-spiral was formed by the Vllth, VIII th and IXth, instead of by the Vlth, Vllth and Vlllth (and sometimes even Vth) ; the deep branch in the hand received from both Vlllth 138 MKIMSTN.1 VARIATION". [PART I. IXth (instead of Vlllrh alone, as seen in five cases outof six). But 1 !i"U_di in all these respects the nerve-supply of the plexus was in ordinal position posterior to the normal, nevertheless the 1\ th • a cMinmunieation to the Vth (as it does normally) and the Buprascapular and subscapular were given off normally. Here, then, the -upply to the plexus began at the normal place, though it ex- tended further back than it normally does. On the right side the branch from th- Xth was slightly bigger than usual, but otherwise th dy abnormality noted was that the IXth sent a branch to the miisculo-xpjral. 1 1 I;I;I:I\<;M \M. W. P.. Proc. Roy. Soc., 1886, XLI. P »•:;.".. In \iew of FURBRINGEE'S evidence (see Nos. 65 and (i~), it iiii^lit be expected that the first rib would be reduced in corre- lation with the irregular forward Homceosis of the nerves. In replv however to a question on the subject, Dr Herringham has kindly informed me that no abnormality in the ribs was seen, but thai this point was not specially considered. ( 'oinpare also L\\i.s case, No. '24, in which similarly a large branch from the Xth joined the plexus on the right side and the firs) rib was rudimentary, both structures thus shewing a correla- ted forward I b >mO3< isis. LI \li:n-s.\ci:AL PLEXUS. *70. r,\ ph\ -i"l'. -leal methods SHERRINGTON found that the supply to i iie lumbo-sacral jilcxus \aried considerably with regard to its origin from the spinal nerves. This was seen in Macacus, in the 1 and in the Frog. In none of these animals was any one ar- ran-'-nient found sufficient ly often to justify its selection as a"nor- mal type. In each case it was found convenient to divide the dit'f. rent forms of arrangement into two classes, the one in which the -upply to the pi. AIIS uas in ordinal position more anterior ("pie-axial." Sherrini;toni. tl ther being more posterior ("post- axial." Sherrin-toii ». Particulars respecting the distribution of the ial nerves and the movements resulting from their stimulation in the two classes, are ^\\<-\\ in detail (i|. v.). In Macacus, 31 in- «li\idua|s bel'.n^ed to the nioiv a 1 1 1 e i' i , ,]• ( • la ss, and 21 to the more posterior. In the ( 'at the number of individuals in the two classes was -- and :!!l respectively. It is stated generally that •'I'll.- iliMrilnitioii of tin- peripheral nerve t nniks is not obviously iliH'rivnt, \\liether, I »y iis rooi f«,niiatiitii the plexus In-long to the pre-axial class, or to the p.-i axial. The peripheral nerve-trunks are, D o-.l- th.-ir OlUScleS, relatively stable in eomp.-iri.son with the spinal !••• \\"hen the inin-rvation of the liiiili-inuseles is of the pre-axial . 0 also i- that ..t' the anus, vagina and bladder; and conversely/' SHERRINOTON, < '. 8., Proc. A'.-//. Soc., l^'.'i', i.i. pp. 7f the plexus, and though a comparison be- t\\.i ii ll'i-i-nherg's al)iionnal Chimpanzee with that dissected by ( 'liampii'-v- lar-i-ly bears out this suggestion, yet it is also clear that tin- e..nv|ation is not a precise one, as indeed has already a | >| I. -a i. -i I in several instances. In ;_ri\iir_r the compositions of the several nerves of the lumbo- ial pi. \MS in Man and Chimpanzee, I have given the num- }» \-^ '•!' the nerves in the whole series for simplicity of comparison. li will In- remembered that a Chimpanzee has one pair of ribs in. MI- than Man. tin- XX 1st nerve is the 1st lumbar in Man, but i- i In- loth dursal iii Chimpanzee, the XXVIth nerve being the !-• sacral in l'"th forms. The table given shews, as Champneys •hat ti. 'Tal arrangement of the nerves of the lower limb and Inmliar and sacral plexuses was in Chimpanzee very similar to that in Man, but that the nerves are very differently composed. MAX. CHIMPAX7I 1 . Ilio-hvp»_;a-' l ir I y y . VVT Ilio-inguinal • ............ AAi Genito-crural XXL— XXII ............. XXI. External cutaneous XXII. XXIII ............. XXL, XXII. Obturator XXIII. XXIV ............. XXL— XXIII. Anterior crural XXII.— XXIV ............. XXL— XXIV Superior gluteal XXIV. XXVI ............. XXIV.— XXVI. - era) plexus XXI V.— XXIX ............. XXIL— XXVII. Small sciatic XXIV. XXIX ............. XXIV.— XXVI. t l-Y'.m < '11 \Mi'\i:vs. I.e. ].. -2\n.) 'I'll'' "li-m of tin- nerves is therefore in several cases lower in Man than in the Chimpanzee, although in the absence of ribs "ii 'I"- -<>th vertebra Man shews a character which, as compared with tin- presence of ribs in this position in the Chimpanzee repre- sents a backward 1 1> >mo'o.-.is. Man. With the l'..re--oin'4. compare the case mention. -d above (No. -VJi in \\lii.-h two entire Inmliar nerves joined the sacral pl'Aii> in a human subject having no ril.s on the 19th vertebra, &c. STRUTHERS, ./. Anat. Phys., is?."), p. 1-1 and p. -i\). ~-. I''""' int'oniiatinn as bo the \ariatiuns of the luml>o-s;uTal plexus in '!''• I'riiiiat.- eeal o 'ROBEKBEKQ, Aforph. Jahrb., I. 1N7«'), j>. l±7etseqq.; ii'i'l :1^ '" CftSea in I'riiiiat.-^ and in ntlirr \ crteln-.-ites compare \o\ JHERINO, Das peripherisch Nervenayatem >, &c., Leipzig, 111 these, two cases <•»' jiariial ha.-kwanl Hoinu'osis in the liii.,l...-a,-i-al |.le\ii. , ,\ i|,r | ), ,u are perhaps noteworthy, as be i m,' represented .-mil d.-M-ril.ril in greater detail than many of von Jhering's I" one of these tin- Hi. ..f the i:iih dorsal ii'iMh vertebra) \\°is nut il.-Nrlnp,.,!, this vertebra I.ein- formed as a lumbar and thus itself sh'-w in- a I. . 'i. -k ward ||, ...... ^is ii, currelation to that of the nerves CHAP. IV.] SPINAL NERVES I BRADYPODID^. i n (vox JHERIXG, I. c. p. 182, pi. iv. tig. 2). Descriptions and diagrams of similar cases are given throughout the work, but as some of them represent specimens described by others (e.g. STRUTHERS and ROSEN- BERG) originally without diagrams, it is difficult to know how far the accounts given are schematic. For this reason reference to the original work must be made. *73. Bradypodidae. II rachial plexus. As examples of normal differ- ences the Sloths are especially interesting, but unfortunately an extended investigation of the nerves in several individuals has not been made. The results found by SOLGER relate to one specimen of B. tridactylus and one of C. didactylus. The latter was a perfect specimen, but the former had been partially dissected and the details of the nerves were largely imperfect. The Cholcapus was a specimen with seven cervicals, and the Bradypus had nine, the last bearing rudi- n FIG. 15. Diagrams shewing the composition of the brachial plexus in I. a Cholcepus, II. a Bradypus. v1 — t;11, the vertebra. IV, VII, X, XII, fourth, seventh, tenth and twelfth cervical nerves. A, dorsal cord. B, ventral cord, a, phrenic, b, dorsalis scapulae, c, suprascapular. d, subscapular. rnentary ribs. As the figure shews (Fig. 15), there was a close but not a perfect resemblance between the composition of the plexus in the two cases, that of Bradypus being in nearly each case two roots lower than that in Cholo&pus. In the latter the IVth nerve gave a branch to the Vth, but whether in Bradypus the Vlth gave a branch to the Vllth was not determined with certainty owing to the condition of the specimen. [For details see original paper] SOLGER, B., Morph. Jahrb., 1875, i. p. 199, PL vi. One more case may be given in illustration of the kind of difference which normal forms may present. 74, Pipa (the Surinam Toad). In the majority of the Batrachia, the most anterior pair of spinal nerves leaves the vertebral column between the first and second vertebra?, no sub-occipital being present. The 14.! MI-:i;l>TI<- YAKIATIUN. [PARTI. • ml j.air leaves between the second and third vertebrae, and the third pair leaves bet \\i-.-n the third and fourtli vertebra?. The braehial M- i> formed by the whole of the second pair together with parts nf tin- tirst and third pairs. (The details of the arrangement are compli- • 1 and \ary L'l-eatly in different forms.) In PIJMI a different arrange- ni'-nt exists. The most anterior pair of nerves leaves the spinal HUM by [» ft'orntinij the tirst vertebra, and the pair which leaxes between tin- lirst and second vertebra1 is therefore ordinally the se<-<>inl pair- "f -pinal nerves in this form; the pair which leaves between the • nd and third \.-it. -br:e is the third, and so on. The brachial plexus is mad. • up ' -r the wlmle of the second nerve, nearly the whole of the third nerve and nf a branch of the first. It tht-ii it wen- to be supposed that the pair of nerves which leaves tin- cc.liiiun between tin- first and second vertebrae in 1'ipa is homo- wit h tin- pair of nerves which leaves in the same place in /.'"/"/. A'-, it is rlcar that lirtween the skull and the 2nd vertebra of J'ijm, then- is an extra pair nf nerves not found in Rana. The number of v.-rtebi;.- in /'i/,, the '.'th and loth. pass out through the terminal piece "f the \ertebral enliiiiin. suggesting that the diminution in the niiinlier nf \eitebr-e i - due to the absence of separation between the (.»th vertebi-a and the ui-n>tyle. The whole number of spinal nerves i* theret'nr.- the -aine in bnth Rana and Pipa, but in the latter the Ut pair pei-fnrate tlie Ut vertebra in addition to the 1'nd pair whi.-h ; ,t between the 1st and L'ncl vertebra. l'"i I;I;HIM;I:]; ', M., Jen, Zi.. 1874, nil. p. LSI and y,,t», PI. vn. tig. 37; also Jen. Zl.. 1 >7."i. \ 11. I'l. \i\. figs. .". and ('.. It waa suggested by STASTNII - (A.7//-6. d. vergl. Anat., p. 130, Xote) that pcrhaj^ the l>t \ertebia nf /'//»' n-pi-esents two coalesced verte- br:e, but in an anatniniral e\aminat imi nf two specimens of I'ijiit, I i. ringer (/..-. IsTl.p. IMIJ, fmind ao confirmation of this suggestion. and developmental evidence also went to sheu that no such fusion ira in the ontogeny at leasl . K.OLLIKER, A., !'-•,-//. /,/,,/.<. -med. \V m-Jun-'j, 1 Mill, \. p. -_'."ii;. A Fttrbringer saj - there is no satisfactory \\ay of bringing this case nf /'//„/ into accord \\ith the .-ondition seen in lui,,,i. In the Urodela tliere is of coarse a >ul.occiital be p A Fttrbringer saj - t nf is of coarse a >ul.occipital nerve between the skull and the 1st vertebra \\hi.-h i> ao1 present in /,'»///,/. and some resemblance to Pipa '- 'I'"- bed; ll1" in ih.- Orodela the 1st spinal does not actually ' ('"' ' -1"1 "•• -I/"'"/'7'- Jahrb., L880, vi. ].. -_".I7. The statement \>y M.II -Hi. niii.' thiit tin- 11. -r\, - of /'./../ The »"" ' mtaina iniu-i, ini|.,,rtant mallei li.-ai-in- ,.,, th,. N;liiaii..u i.f tli. -'nerves Lmphibia. rel tiiat thi^ papn did nut aj-p.-ar in time to enable nie to in.-.'i|'.'laU- the I'a.'t- it c.nitaiiis. CHAP, iv.] SPINAL NERVES: BATRACHIA. 143 anastomose with the plexus, though it gives off the superior thoracic, which in both liana and Pipa comes off at a point peripheral to the formation of the plexus (Fiirbringer). If the two spinal nerves which come out of the urostyle in Pi]>«, may be taken to shew that this bone contains n + 2 vertebra; while tin- single pair in Rana shews the urostyle to consist of n + 1, there is in Pipa (as compared with liana), a diminution of one in the total number of vertebrae, together with a backward Homwosis, which is seen in the fact that the 8th vertebra bears the pelvic girdle. Turning now to the nervous system, the fact that the last spinal nerves to join the brachial plexus in Pipa are the Illrd, while in liana they are the IVth, is again an evidence of backward Homoeosis. But if this process were completely carried out, the pair of nerves which in Pipa pass out through the 1st vertebra should pass out between this vertebra and the skull, i.e. in the position of the suboccipital of the Urodela. Beyond this analysis cannot be carried, and this case is a good illustration of the fact that the hypothesis of an individual homology between the segments does not satisfy all the conditions of the problem. Relation between the ordinal position of spinal nerves and their distribution to the limbs. This subject is introduced partly because it further illustrates the nature of the relations which the spinal nerves maintain towards each other, and thus bears indirectly on the phenomena of their Variation ; but chiefly because it presents a view of some of the complexities which arise in the apportionment of organs centrally disposed in Meristic Series, to the parts of peripheral appendages having no clear or co- incident relation to the primary or fundamental segmentation of the body. The facts have thus a value as furnishing a kind of commentary on the nature of Meristic Repetitions in vertebrates. In any attempt to interpret or comprehend Meristic Repetition as a whole, they must be taken into account. The principles of the distribution of the spinal nerves to the muscles of the fore-limb have been thus eiiuntiated by HERRINGHAM. 1. "Of two muscles, or of two parts of a muscle, that which is nearer the head-end of the body tends to be supplied by the higher, that which is nearer the tail-end by the lower nerve. 2. "Of two muscles, that which is nearer the long axis of the body tends to be supplied by the higher, that which is nearer the peri- phery by the lower nerve. 3. "Of two muscles, that which is nearer the surface tends to be supplied by the higher, that which is further from it by the lower nerve." HERRINGHAM, W. P., Proc. Roy. Soc., XLI. 1886, p. 437. Details are given shewing the manner in which the innervation of the muscles in. Man bears out these principles. FORGUE and LAXNEGRACE ', who worked with clogs and monkeys by physiological methods, arrived at conclusions identical with those which Herringham came to by human dissection. 1 Distrib. des racines matrices, &c., Montpellier, 1883, p. 45 [quoted from Herringham: not seen, W. B.]; also Comptes Rendus, 1884, cxvm. p. (587. I I I MERI8TII VARIATION. [PART i. \ I,--., n 1 //'/' »< ,<*-'-'-t i'.n in Man. 1. -i.i two -p..t- on the skin, that which is nearer the prc-axial ii..i-diT ii-niU t" \«- -upplied I iy tin- higher nerve. i'. --(if two -pots in tin- pre-axial area the lower tends to be -upplie.1 liv tin- lower nerve, and of two spots in the post-axial area the lower t.-ii-l- t., 1,.- supplied by tin- higher nerve." "Tim-, if the liml' !>«• seen from tin- front, the two highest nerves on the outer ami iniifi- >ide- re-peetively are the IVth and Xth. I. .-i than the-,- tli«- Vth and Vlth take the outer, the IXtli and Xtli the inner .-id.-. llelow tin- elbow the Vlth alone takes the outer, and tli.- [Xth alone the inner. In the hand, while tin- Vlthand IXth continue their po-itions, the V I Ith and VTIIth for the first time join in the supply." 1'a i titulars from which this general statement is made are given. II UMIIM.H \M, I.e. p. 43!>. A.-eeinliiiL,' to -uli-ei|iient investigations of SHERRINGTON's on the l,'iiiil-liii. the iiinei-\atioii of the muscles of the posterior aspect of the thL'h and \<-^ do riot follow the third of Herringham's principles, for in their case tli.- deep lay.-i- of muscles is innervated by roots anterior to tin.-,- w 1 1 i.-li innervate the -uperiieial muscles. The same experiments also, though eleai-ly -hewing th:it the nerve-supply of the skin of the hallux i- anterior bo that of th.- ."nh digit, gave only equivocal evidence that the -am.- \\as true of tin- mii-eul.-it ures of these two digits; and in the thiudi the gra.-ilis is not supplied before the vastus externus, whose relation i- iMther that ..f \.-ntral to dorsal than of anterior to posterior-. SHEBBINGTON, C. >.. Proc. /.'"//.>'"'•., 1^'Ji', LI. p. 77. RECAPITULATION. S.iin.- r.-a t ures in the Meristie X'ai'iat ion of the spinal nerves, as illu.-trateil by tin- foregoing .-vuleuee. may be briefly sum- marized In tin- tii-st place, as inio-ht be anticipated from the compound natui-.- of a »pinal Derve, when lloiiiieotie Variation takes place, it ,,1'lcn complete. A roiiLfli illustrai ion may make this more clear. • In-! as in making up the chapters of a book into volumes, \\hoh- chapter.-, ma\ be put into one \olmne or into the next, and the following chapters renumbered, so it IIKIV be with the Varia- ti f vertebrffij for these may belong \\liolly to one region of the -pun- or i" another. Hut tin- oerves an- like chapters made up of sections : |>ariicnlar sections or groups <>f sections mav come in an earlier chapter ,,r in a Mibse([iieiit one, and the places of those that li:i\e been |||o\e.| OH l|!;i \ be tilled tl| I Col I Sec 11 1 j \ , 'ly, bllt it SeUlolll happens that \\hol.- chaptei-s ;ir.- renumbered. Nevertheless it is ••l.-ar from -uch a case as that <>f /)'/v/(///^//.s- and Cltulu'pus, on the CHAP, iv.j SPINAL NERVES: RECAPITULATION. 145 hypothesis that both forms are descended from a common ancestor, that such changes and renumbering of whole nerves must have happened, though there is evidence to shew that this may happen piecemeal, as in cases given. Of course in speaking of such changes among the vertebrae it will not be forgotten that partial changes occur too, but there is still greater Discontinuity in their case than in that of the nerves. But that there is Discontinuity in the case of nerves also is clear ; for a given fibre, supplying a given muscle, must leave the spinal cord either by one foramen and one spinal nerve, or by another. Conversely the ?ith motor nerve must supply either one muscle or another, and the transition between the two, however finely it may be subdivided, must ultimately be discontinuous in the case of individual fibres. It would be interesting to know to what extent fibres vary in bundles, but this can hardly be deter- mined. There is, however, some evidence that the group of fibres supplying a limb does to some extent vary up and down the series as a group, though much rearrangement may occur also within the limits of the group itself. Lastly, there is important evidence that Variation in other parts may be correlated with change in the ordinal positions at which nerves with given distributions emerge from the spinal cord. With Variation in the ordinal positions at which the nerves come out, change in other parts, notably in the ribs, may happen too ; so that we may say that in a sense there may be, at least within the limits of single species (see cases Nos. 24, 65 and 71), a correlation between the apportionment of their functions among the nerves and the contour of the body, both changing together, the ribs rising and falling with the rise and fall of the brachial plexus. The nerves do not merely come out through the foramina like stitches through the welt of a shoe, the shape of the shoe remaining the same wherever the threads pass out. The arrangement is, rather, like that of the strings of such an instru- ment as a harp or piano, in which there is a correlation between the curves of the frame and the positions of the several notes : so long as the frame is the same, the strings cannot be moved up or down, the instrument still retaining the same compass and the same number of notes. B. 10 CHAPTER V. LINEAR SERIES — continued. VARIATION IN ARTHROPODA. Tin: occurrence of Hoimeosis among the appendages of Ar- thropoda is illustrated by a small but compact body of evidence. TO tin- evidence special value may be attached, not because it i- likelv that in the evolution of the Arthropods variations have reallv taken plan-, in magnitude comparable with those now to In- described, but rather because these cases give a forcible illus- tration of possibilities that underlie the common and familiar phenomena of Mrristic Repetition. Of these possibilities they are indeed " Instances Prerogative," salient and memorable ex- amples, eiiuntiating conditions of the problem of Variation in a form that cannot be forgotten. Facts of this kind, so common in flowering plants, but in their higher manifestations so rare in aiiimaU. hold a place in the study of Variation comparable pel ha ] i>. uith that \vlnch the phenomena of the prism held in the studv of the nature of Light1. They furnish a test, an elenchus, which any hypi'the-i- profiling to deal with the nature of organic I!. | ii titioM and Meristic Division must needs endure. [NSECTA. •;:,. Cimbex axillaris (a Saw-tly), having the peripheral parts of the left antenna developed as a foot. The right antenna is normal, ending in a club-shaped terminal joint. In the left an- tenna the terminal joint is entirely replaced by a well-formed f..ot, ha\ing a pair of normal claws and the jtltintula between them ( Fig. III). This foot is rather smaller than a normal foot, but is perfectly formed. The iv>t of the antenna, so far as the point at which the club should begin is normal in form, but is a little Mnaller and thinner than the same parts in the right antenna. KUAATX. (',.. /V///. ,„/. /f/.xv///-., LsTU, XX., p. 377, PL 1 See tlie well-known passage in Nov. Org., u. xxii. CHAP, v.] HOMCEOSIS IN ARTHROPODA. 147 This specimen was most kindly lent to me for examination by Dr Kraatz, but to this description I am unable to add anything1. FIG. 16. Cimbex axillaris : right antenna normal ; left antenna bearing a foot. II. the left antenna seen from in front. III. the same from above. After KRAATZ. It should be noted that the plantar surface of the foot was turned rather forwards as shewn in the figure, and not downwards like the normal feet. *76. Bombus variabilis £ (a Humble-bee). A specimen taken beside the hedge of a park in Munich, having the left antenna partially developed as a foot. The first two joints were normal. They were followed by two joints which were rather compressed and increased in thickness and breadth. Of these the first was oblong and somewhat narrowed towards its apex by two shallow constrictions, giving it an appearance as of three joints united into one ; below it presented a projecting and tooth-like point. This joint was only slightly shiny. The next joint to it was al- most triangular, and was reddish-brown, shiny, and having hairs on its lower surface. Posteriorly it was prolonged inwards, cover- ing the previous joint so that both seemed to form one joint : the posterior edge was somewhat thickly covered with hairs. The upper part of the first of these two joints and the prolongation of the second were together covered by a hairy, scale-like third joint, which seemed to be only attached at its base. From the apex of the second joint arose a shortened claw-joint, like the claw- joint of a normal foot. This joint was reddish-brown and shiny, bearing a pair of regularly formed claws, like the claws of the foot. KRIECHBAUMER, Entom. Nachr., 1889, xv. No. 18, p. 281. 1 Some to whom I have spoken of this specimen, being unfamiliar with entomo- logical literature, and thus unaware of the high reputation of Dr Kraatz among ento- mologists, have expressed doubt as to its genuineness. I may add therefore that the specimen, when in Cambridge, was illuminated as an opaque object and submit- ted to most careful microscopical examination both by Dr D. Sharp, F.R.S., and myself, and not the slightest reason was found for supposing that it was other than perfectly natural and genuine. The specimen was also carefully relaxed and washed •with warm water, but no part of it was detached by this treatment. 10—2 148 M ERISTIC VARIATION. [I'AKT I. The tw>, following cases must be given here, inasmuch as tli.-v relat,- t.. H..ni.i"-i- of the appendages in Insects; but in tin-" case "t tli-- first the evidence is unsatisfactory, and in the case ,,t' ili,- second there is considerable doubt whether the varia- tion is reallv "I' the nature of Homoeosis. 77. Prionus coriarius £ : having elytra represented by leg-. 'I'll.- following i- a translation of an announcement in the Hi-ftu.i-r L'i't. Ztg., 1^40, vol. I. p. 48, which is copied from the original communication t'. the Preussische Provinzial-Blatter, Bd. \\. (Th.- latter journal not seen, \Y. B.] :- " One of my pupils 1. n.u-lit me to-day a male 7V/o////.s- coriarius, Fbr., the thorax of \\hich is remarkably constructed. The homy covering of the mesothorax is ali-'-nt. and in place of the elytra is a pair of t'ullv developed legx which are directed upwards and backwards. Tli,-,- legs an- in.-< rt«-d at the points of articulation of the elytra. Th'- metathorax >upports the wings as usual and the abdomen is not hardened more than it usually is. In trying to fly, the creature mov.-d these upwardly directed legs simultaneously with its win^s. Th«- -eutdliim is absent and the prothorax has i.nlv two .-pines; other parts iionnally developed." Dr SAAGE, Urami.-berg, 1.S39 : — Hagen, in quoting this case, mentions that th«- >p.-eiint-n was att.-rwards seen by von Siebold, but gives no reference to any writing of von Sii-hold on the subject. [If this >p,-<-im«-M >till exists, it is to be hoped that a de- scription of it may be published. In the absence of further in- formation tin -re .-i-enis to be no good reason tor accepting the case a- genuine.] •;s Zygaena filipendulae h,'\\s the n.-iinitiou of the supernumerary wing. From drawings liy Mr N. M. Kirn MIPM.N. /•'/n -. iitinr isrhi..]iuiiite and meropodite, pin-le joint repi-esents, as it were, the ischiopodite and meropodite of an ordinary chela, but these two parts are ankylosed together and the articulation between them is only represented by a groove i //). Another groove (f/') represents the groove upon the ischiopo- dite of the chela, at which the limb is commonly thrown off by tin- animal if it is injured. The carpopodite, propodite and dactylo- podite are freely mi >\ cable on each other and hardly differ, save in absolute si/e, from those of the normal chehe. The shape, pro- portions and texture are all tho>e of the chela. B.VTESOX, W., Proc. /•»,/. Nor., 1MM). p. :,.s(i, fig. 1. SO. A similar case1 of ('n dissection it was found that the ovary ua- normal, and that from each side of it a normal oviduct was given off; Inn each of tip-.- oviducts divided a little lower down to (MIIII two Hnaller oviducts, one of which went to each of the four oviducal openings. 1 )i>\iA iirsT1, E., Ann. Soc. Ent. France, 1848, Ser. •_'. vi. p. 47!». /'/. Astacus fluviatilis $, having a supernumerary pair of ovi- ducal opening placed mi tin' luxt pair of thoracic legs. The normal oviducal openings wen- in the usual position and of the usual shape and si/e. but in addition to them there was an extra pair placed on the last thoracic legs. It should be remarked that though the-e are the appendages upon which the openings of the male organs are placed, the oviducal openings were not in this case -ituated at the posterior surface of the joint as the male op, nin-- are, but were placed relatively to the leg in the same situation ax the female openings on the antepenultimate legs. The penultimate legs and the abdominal appendages were normal. On dissection it was found that each oviduct after passing for the greater part of its course as a single tube, divided into two parts, one of which went to each oviducal opening. The ovary itself was normal. HiiMi \M. \V. B., Ann. M\. /'/. ill. ! I am ui'catly obliged to Mr Beiiham for an oppor- tunity of examining this specimen. Attention is called to the tact that in this specimen Homoaosis occurs in an unusual way, having a gap in the series: for the openings are on the ante- j» unlfiimitf and fnxt thoracic legs respectively.] I tesmarest's observat ion stood apparently alone until lately, when the specimen jusl described and several others presenting the same or -imilar variations were observed by I'.KNiiAM. Mr Benham was kind enough to ^ ml me the following specimens for examination: one female having a xiiiide having no trace of an opening. r liinl tlii- -]„ riiiH-ii frnin r»h, «- that tli.' (lisrnptiun referred to a single specimen only. CHAP. V.] HOMCEOSIS IX ARTHROPODA. 153 *85. After receiving these specimens I made an attempt to ascer- tain the degree of frequency with which such variations occur in ami.!! B Bight. amb.n ambM Left. FIG. 20. Females of Astacus fluviatilis having au abnormal number of oviducal openings. N.B. The form with three pairs of openings is not figured. A. Eight oviducal opening absent. B. Extra opening in right penultimate leg. C. Extra opening in left penultimate leg. the Crayfish, and though the total number examined is too small to give a percentage of much value it may be well to record the result. In all, 586 female A. fluviatilis have been examined : of these 563 were normal in respect of the number of oviducal openings, and 23 were abnormal, as follows : 1. Extra oviducal opening on left penult, leg 7 2. ditto right 10 3. ditto 011 both penult, legs 1 4. ditto on both penult. & last legs 1 5. Single oviducal opening on left side only 3 6. ditto right 1 1 Total abnormal specimens 23 1 Mr B. ASSHETON sends me word of a similar specimen found among 80 of both sexes; Prof. W. B. HOWES of another among 144 of both sexes. 154 MKIMSTIO VARIATION. [PART I. In all ca-es of supernumerary oviducal openings the normal open- in-- were also present. These cases an- in addition to those received from Mr Benhain. S.> far, then-ton-, the cases of extra opening amount to over 3 per cent, of females examined. Of 714 inx examined, only one was abnormal, having no tract- of a generative op.-ning on the right side, the vas deferens ending lilindly and hanging free in the thoracic cavity. There was no fnnalr opt-ning in this specimen, and the abdominal appen- dag.-s had tin- form characteristic of the male on both sides. The base of the last thoracic leg on the right side bore no enlargement for lip- genital opening, but was plain and like that of the pen- ultimate leg1. In cases of ft -males which lacked one of the openings, the basal joint for tli«- leg \vhidi should have been dilated and perforated tor the opening, was undiluted and resembled the basal joint of a penultimate leg. The oviduct upon the imperforate side was more or less aborted and hung loosely in the thoracic cavity. In the abnormal females with extra oviducal openings, the oviduct divides generally into two just before it enters the legs, the fork being placed at the level between them. In some few c ises no branch of the oviduct could be traced to the extra open- ing. In one specimen the extra opening led into a short tube \\hich ended blindly, not communicating with the oviduct. The specimen (4) with extra openings on the penultimate and last legs had thus in all six oviducal openings. Those in the normal position on the antepenultimate legs were of normal size, those on the next pair were smaller but still of fair size, while those on the last pair of thoracic legs were very small, that on the left side being the >malle.-t and admitting only a fair-sized bristle. In this specimen the single oviduct of each side forked in its peripheral third, giving a duct to each of the first two pairs of openings, but I failed to find any connexion between it and the openings on the last thoracic It-g^, which were very short blind sacs. In all cases of extra oviducal opening the basal joint of the leg is expanded like those of the normal antepenultimate legs, the degree of expansion being proportional to the size of the opening. The normal openings are always the largest, but the extra ones are sometimes almost as large and would easily allow the passage of ova, but occasionally they are too small to let an egg through. As regards principles of Homoeotic Variation illustrated by these ca>es, three points should be especially remarked: 1 Compare the following : Astacus fluviatilis. Amongst 1500 specimens 3 were fmiiul in \\hk-h tlu- tuhfii-lo through which the green gland opens was entirely absi-nt. Tin- n]u niiiK' itself was not formed and the green gland of the same side was iil.st-nt. In another specimen the opening was deformed, probably owing to some mutilation. In this and the previous cases the green gland of the other side considerably enlarged. STKAUL, C., MUllt'r'.* Archie fiir Aunt. it. Phys., 1859, CHAP, v.] HOMCEOSIS IN ARTHROPODA. 155 1. That this Variation may be bilaterally symmetrical, but that the evidence goes to shew that it is more often uni- lateral. 2. That there is a clear succession between the several oviducal openings, those of the antepenultimate legs being the largest, the penultimate the next, and those of the last legs the smallest. 3. That Homceosis may occur between segments which are not adjacent, as in the case of extra oviducal openings on the last thoracic legs, none being formed on the penultimate (No. 84). 4. That the Variation may be perfect. With the foregoing, the following evidence may be compared, though it is very doubtful whether it properly belongs here1. 86. Cheraps preissii [an Australian freshwater Crayfish, nearly allied to Astacvis]. Of seven specimens received one was a normal male and three were normal females. The other three had on the basal joint of the third [antepenultimate] pair of legs a round opening, having the size and shape and situation of the normal female openings. These apertures were closed with soft substance. The fifth legs bore the usual male openings, from which the ends of the ductus ejacula- torius protruded. The coiled spermatic ducts were normal ; but no ovary was found and no internal structure was connected witli these female openings. VON MARTENS, E., Sitzb. Ges. naturf. Fr. £erlit>, 1870, p. 1. 87. Astacus pilimanus ii]>, there is nevertheless a remarkable group of cases "C I'/iijH'rfect segmentation, in which by reason of the incom- pleteness <>t' the process of Division, the occurrence of Variation is at once perceived. The following cases were all originally described by CORI, who s] teaks of them as instances of "intercalation" of meiits. For reasons sufficiently explained in the Chapter on V.-rt'-l.r.-e, there are objections to the use of this term, if only as a mod.- of expression, and the evidence concerning these cases has lllei ef( iiv lieell re-cast. *ss. Lumbricus terrestris : the 4>0th segment having the form shewn in Fig. 21, I. being normal on the right side, but double on the left. Internally a septum divided the two parts a and a from each other. Ka.-h of them contained a nephridium, setce, &c. CORI, C. J., /./. w. Z., LIV. i,s!>2, p. :,71, fig. 1. *Mi. Specimen having, in the region close behind the clitellum, three consecutive segments, each resembling that just described. Of the>e the first was double . ].. 573, figs. 5, 6 and 7. IB III I'i •.. '_'-!. Sjiiral segmentation in Littnbricns terrestris. I. A, tin CUM N'>. '.12 ; I. B, diagrammatic representation. II. A, the case No. (,(3 ; II, B, diagrammatic representation. III. tla-c:i*L- No. '.M. i After Com.) Two oilier rases described by CORI may be mentioned here, though tin-re is ;i presumption that they are not really examples of Variation in the .segmentation along the axis of a Primary Symmetry, but rather In-long to the class of Secondary Symmetries. They are alluded to liere as it is convenient to illustrate this distinction by taking them in connexion with the examples just given. '95. Hermodice carunculata. ( Fig. I'D, III.) Between two normal segments is what seems at first to be a segment double on the left MI!.- with two complete sets of parapodia, but imperfectly divided on the right (left of figure), the septal groove stopping short before it readies the parapodia] region. The lower half on this side is re- pn ented with a normal ventral ramus of ihe parapodium, Imt the \entral ramus in the upper was itself doubled, having in particular two cirri Cv. I. and Cv. II. and two branches of setae. The eonilition of the dorsal ramus is not described. Of course without seeing this specimen it is impossible to say more than this, but the figure strongly suggests that the division between the two halves of thU parapodium was a i/irixion lut,, 'unity* and not into successive aenta. The lignre represents the lower cirrus Cv II. as standing in the normal position for the cirrus, on the posterior limb of the parapodium, hut the .-interior cirrus is distinctly shewn as placed on the anterior limb of the elevation and anterior to the bristles. If this were aetually the rase, this doiiNe parapodium must be looked <>" as a kind of l.ud. with a distim-t Se.-omlary Svmmetry of its own. he.M-rilicd afresh from Com, C. J., Z. /.' e all except the pair of the 13th segment are supernumerary. Kach of these ovaries was placed on the posterior face of a septum in the n-iial position. The three anterior pairs in shape, structure ami portion closely resembled the normal structures. Of these the most anterior were slightly the largest. The four posterior pairs were smaller and resembled the ovaries of a very young or immature worm, but on examination all were found to contain "va. The normal pair of oviducts were present and no extra ovi- ducts could lie found, though carefully sought for. WOODWARD, M. F., 1'. Z. 8., 1N!>2, p. 184, Plate xm. *101. Lumbricus herculeus, Savigny (= L. ayricola, Hoffmeister), having an asymmetrical arrangement of the generative organs, &c. < >n the left side the arrangement was normal ; the ovary being in the 13th segment, the oviducal opening in the 14th, and the open- ing of the vas deferens in the loth segment (Fig. 24). < >n the ni//if side each of these structures was placed in the segment anterior to that in which it is normally found: the right ovary was in the 12th, the external opening of the right oviduct was in the 13th, and the external opening of the right vas deferens waa iii the I4th segment. The spermatheca- were normal on the left side, being placed in the 9th and 10th segments, but on the right side one spermat heca only was present, that of the 9th se^mrnr. r|-],,. vesiciihe seminales were present as usual in the !>th and llth segments, but there was no vesicula in the 12th In I'.i nun's enumeration tlie ordinal number of these segments is one less than in that commonly used: the latter sv.-t. m i> mln^ti'd above. CHAP. VI. ANNELIDS. 161 segment on the right side, while that of the left side was fully Right Lffl (normal) xn xm CfS FIG. 24. Lumbricus herculeus, having the generative organs of the right side one segment higher than usual. A, external view from below. B, view of the organs from above, spth, sperniathecfe ; or, ovary ; CBS, oesophagus ; cat, calciferous glands. After BENHAM. formed. It is remarkable that in this case, the calciferous gland of the 12th segment was absent on the right side. [I am indebted to Mr Benham for an opportunity of examining this specimen.] BENHAM, W. B, Ann. & Mag. N. H., 1891, Ser. 6, vn. p. 257, PL in. 102. Another specimen presented the same variations as the fore- going, both as regards the asymmetrical arrangement of the genital pores and the absence of the calciferous gland : but in it there were vesicular seminales on the right side in segments 10 and 11. but none in segment 9 ; and there was a spermatheca on the right side in segments 8 and 9. [In the normal form the spermatheca? are in segments 9 and 10, so that, in this individual in the matter of the spermathecse as well as of the genital pores, structures were formed in particular segments which are normally found one segment lower down.] BENHAM, W. B., in litt., March, 1891. B. 11 L62 MKIUSTIC VARIATION. [PART i. 103 T-ible shelving position of ovaries in forms having two or more pairs ,,t',.,;,nes,andin the Variations found (slightly altered from M F. WOODWARD, P. Z. £., 181)2): Segments 9 10 11 12 X i X 13 14 Lo 16 17 1* X X X X X X X X X X X X? X X X X X X X —>- X X /.. If-rruli'ti* 1? = /«TiY*frix) Benham's J 1. •' i, ( rt. i t a rt tiii a v I Jen 'h's SIK*C fab norm. ) . . do. do. do. (abnorra.)... j^ /,. i>nr}>ur*'us do. do. (abnorm.)... j^ Ml,>l*i,oi>hnm sp. (Common Earthworm, ftbnorzn ) I',n<'tnj.r it\vi> paiis, varying from 9 — 16).. / '// t't't ni I'l I It s' X X X 104. Allolobophora >j>. [,/ pores normally in loth and $ pores in 14th, as in cuiiiiii.ni Earthworm]: specimen having on the right siili- £ pore in 20th and $ p..iv in 19th ; on the left side, £ pure in 17th and $ jii.n- in Kith. MiCHAELSEX, W., Juhrb. Jfnniltnrg. wiss. Anstcdt, IN!K), vn. p. s. In c-ach case the £ pore is in tin- aegini-nt lifhind tin- $ pore, as normally. The position of ovaries n. .t Lumbricus agricola Hofl'm. (= terrestris L.) : amongst 230 speci- mens in which the ] 'i '-it ion of the male pores are determined, 6 speci- mens were found in which these openings were not normally placed (vi/.. one mi c;ich side in the loth segment). In two of these specimens, linth puivs were iii the 14th segment; in one case the left pore w;i-. in ilie llth segment ;md tlie right was in the loth: these three \\iirms were ( leniiaii. One specimen was found in Savigny's collection in I'aris \\liich had two pores on the left side [and none on the right i'i . In <>ne Knglish specimen the " vulva" [.sr. the two male pi ires] was in (he 1 Itli segment and in another it was in the 16th. [The author speaks sometimes of both pores as the "vulva," and at ..I her times he uses this term for one pore only, but the meaning is plainly that given above.] HoFKMKisTKH, W., Uebersicht alter bis j.i-.i /„ /.-,!,,,,/,, i Art' it a, if. /•'"//////•' Regenwurmer, Braunschw., ~ P. . i'.. ;i N. Xcaland Oligochret, lias •_' ] aiis of testes and 4 vasa defereutia .-r]i;initrl\ : '-' ]i:iirs of ovaries and 4 oviducts. Li I>I'AKI>. F. E., Ann. and M,,,I., L888, i. ].. B89, /'/. CHAP. VI.] ANNELIDS. 1G3 *106. Perionyx excavatus. In this earthworm a very remarkable series of variations has been observed by Beddard. The accompany- ing table shews the varieties in number of spermatheca? and position of the generative openings which were found. The spermathecas are generally 4, and are placed in the 7th and 8th segment, but in several specimens there were 8 and their position varied from the 6th to the llth segment. In all the varieties, however, they were in segments adjacent to each other. In four specimens the sper- mathecse were in the 8th and 9th segment on the right side and in the 9th and 10th on the left. In normal specimens the male pores are 2, but individuals with 4 (and perhaps G) were found. There are generally 2 pairs of ovaries and oviducts. In Var. No. 11 an additional ovary was found on the right-hand side in the llth segment and in Var. No. 10 there were three pairs of ovaries. Table of Variations seen in P. excavatus (from BEDDARD). Spermatkecfe ? pores $, Hgs. FIG. 2.j. I'trimiyx excaratm. Diagrams shewing some of the variations in n-.-jM.-ct of the number and positions of the openings of the spermathecte and p-in-i;itive pores. From BKUDARD, P. Z. S., 1886. Perionyx griinewaldi, Michaelsen. Normally a pair of male l pores on the IStli segment, and a single oviducal opening fur tin- two oviducts in the middle line of the 14th segment. 107. In two specimens a dim-rent arrangement was found. One of the-c had the oviducal opening in the 15th segment [position of male openings not specified and presumably normal]. 10s Tin- other had two oviducal openings, one in the 13th and one in the 1 1th segment [not stated whether these openings were median or lateral, nor whether each of them was a double structure as of course tin- normal female opening is]. In this specimen the male i. Innings also were placed anteriorly to their normal position, being in the 17th segment. M icn AF.I.SKN, ./•/., l's'.'U, VII., ]>. 7; see also Arch. f. Natury., 1892, LVIII., p. '_'•"' 1 . ( 'omjiarr No. III. II". 1'iesides these is a batch of S specimens of A. tetraedrus, loc. un- known, (! specimens had both £ and J pores in the 14th. Clitellum began in 'J.'inl, tuberc. pubert. in L'lth. These specimens are thus intermediate between A. //• /vy/m/x, which has the pores as in Lum- CHAP. VI.] HIRUDINEA. 1G5 bricus, and A. tetrdedrus. MICHAELSEN, W., Arch. f. Xdtury., 1892, LVIIL, p. 251. 111. Allurus putris : specimen having £ pores on 13th (instead of 15th) as an abnormality; in it the other external generative organs (and doubtless the internal also) were 2 segments higher than usual, the $ pore being on the 12th instead of 14th. Tuberc. pubert 26 — 28. MICHAELSEN, Jahrb. Hamburg, wiss. Anst., 1891, viu., p. 8. Compare No. 109. 112. Allurus sp. : specimen having 1. side normal; right side, <£ pore in 12th, $ in llth, clitellus and tuberc. pubert. one segment higher than usual. Ibid. *113. ENCHYTRXEID.E. .KI>. .Y»/ir. monoflr. iks Sanysues med., Paris, 1857, p. 9'd. *120. Hirudo officinalis : an individual having a supernumerary penis and veneula seminalis of the right side, in the 5th somite. vs- FIG. 2<>. Case of Ilini/In i;/7i<-/i/«//.<, Xo. 120. ji\ jirni.' in normal position; p-, supernumerary penis; rx, the usual vesicula? si-miiialt^ ; /•.-•-, supi-rnumerary vesicula seminalis. (From a diagram sent to me by Mr (ribaon.) Tin- iiunnal penis in the sixth segment was fully formed and into it opened on rithrr side a vas deferens, provided with a vesicula M'lninalis as usual. But the vesicula of the right side gave otV in addition a vas dcffiTiis, which passed forwards into tli.' fourth segment and there enlarged into another vesicula M-iniiialis. This additional vesicula was connected by a duct with a supernumerary penis placed and opening in the middle of the fifth M'gnieiit. The parts of the left side as well as the female organs were normal. [I have to thank Mr Gibson for furnishing me with a diagram (Fig. 2(>) supplementing the puMi-hed account.] GIBSON, R. J. HARVEY, Xature, 1887, xxxv., P. 392. Aulastoma gulo c Leech). In this form as is usual. anioii'4 the Gnathobdellidce there are from 9 to 12 pairs of tes- CHAP, vi.] ANNELIDS: RECAPITULATION. 1G7 ticular sacs which communicate with a tortuous vas deferens on each side which together enter a single penis. The paired ovaries are placed behind this and the oviducts unite to form a common vagina. *121. In a specimen found amongst a large series investigated, each vas deferens opened by a separate penis, of which the most an- terior opened in the 20th annulus and the posterior in the 25th. The female apparatus was similarly divided. One ovary was placed near the penis in the 25th annulus and from it a vagina passed down to open with the penis. The other ovary, with a similar vagina, lay in the 30th annulus. ASPER, G., Zool. Am., 1878, i., p. 297. Recapitulation of evidence as to OLIGOCH^TA and HIRUDINEA. Variation in these two groups appears in such similar modes that points of special consequence in both may conveniently be spoken of together. 1. As elsewhere seen, so here, there are forms, e.g., Perionyx excavatus or Pachydrilus sphagnetorum, shewing great variability, while others, the common Earthworm for instance, rarely vary. 2. Both forward and backward Homoeosis may occur ; a form normally having the i* .sy///'/<7//'Y/, /•/////, the one with all the organs a segment higher than their place in the other variety may be well com- paivd with SiiKititi.\(;TON's observation, that in the Frog and in several Mamnial> (see Xo. 70) the individuals could be roughly divided into two classes according as the lumbo-sacral pi. -MIS was formed more anteriorly (" preaxial class") or more posteriorly ('• po-ta \ial class"). 9. In the evidence as to Perionyx, it was seen that many of the arrangements found occurred in single specimens only, -i ingesting the inference that the systems do not fall into one of these conditions more easily than into others; nevertheless of each of three abnormal arrangements two examples were found, a circumstance hardly to be expected on the hypothesis of for- tuitous Variation. 10. It is perhaps unnecessary to point out that the examples of Variation given are in their several degrees Discontinuous, and that by the nature of the case the Variation by which the several -peeitic forms have attained their particular numbers and charac- teristic disposition of organs, must almost of necessity have been thus Discontinuous. CESTODA. The following facts ivspeeting Variation in Cestoda are chiefly taken from LKI < KART, Piirnsitcn des Menschen1. the variations here enumerated, abnormalities of several other kinds (\ari.-ition in number of suckers, prismatic segments, Uit'uivatioii. AC.) are known in this i^roup, l>ut as these do not directly illustrate the Variation of Linear Series, consideration of them must lie (Ict'elTeil. The degree to which the parts hearing sexual organs are -p.-u-a ted from each other differs greatly in the various groups of < 'erodes. In some (2We»//opAonw) the segmentation amounts to an inconsiderable const rid ion, while in /,i;/,,l. 571. 12G. Ta-nla. Case quoted by Leuckart from HELLER of a Tania having generati\. "I'l-iiinrs I'lar. 7 1 . Taenia solium in which the pores are normally alternating, may be found with symmetrically developed pores; and on tin contrary, T. elliptica in which they are normally symmetrical, may occur with an- asymmetrical arrangement. L., pp. 353 and 529. l-2'.i T. saginata: in a chain of about 6'5 metres in length, and containing some (>50 joints, there was found a single, heart - shajH-d, supernumerary joint like those described; a single joint u.i- i.>mid with two genital pores, one being on each lateral border at about tin- same level. The largest number of consecutive joints having the genital jion-s on tin- same side was six. TUCKERMAX, F., Zool. Anz., XL, L888, ].. !»4. |:;o Taenia coenurus. Speeimen observed by Leuckart in which the l;i>t s or Hi segments shewed a transposition of the generative organs, those whieli usually lie at the distal end being placed at the proximal. This change of position was especially seen in the ease of organs engaged in the preparation of the ova. The proximal proglot I ides of this individual were normal. The trans- ition segment, between these two regions contained two simple \eMcul.-e seiuinales and two marginal papilla? which were on oppu-ite sides; bm in spite of the resemblance of these structures to genital pores. neither opening, nor cirrus, nor vasa deferentia could be distinguished. L., p. 504. I'll Amongst chains of normal proglottides it is not rare to find a segment containing male organs only. L., p. 504. Speaking generally, slight abnormalities are far more common than great onea Nearly every specimen of Tapeworm has in- di\idual peculiarities, and these generally repeat themselves in the same chain of proglottides. This repetition of the same abnormality in different parts of the chain is also the rule for the great,. ]• abnormalities also. L.. pp. .">:!!). 572 and 573. CHAPTER VII. LINEAR SERIES — continued. BRANCHIAL OPENINGS OF CHORDATA AND STRUCTURES IN CONNEXION WITH THEM. UNDER the general heading of Variation of branchial openings facts will be given relating to the following subjects. I. Variation in the patterns formed by the bars, vessels and stigmata of the branchial sac in Ascidians. II. Variation in the number of gill-sacs in Cyclostomi. III. Abnormal openings in the cervical region of Mammals, known as " cervical fistula^," and external appendages called " cer- vical auricles," or "supernumerary ears," present sometimes in connexion with such openings. With reference to the two first subjects the evidence is only fragmentary, but the instances recorded seem to be of sufficient consequence to warrant their introduction in illustration especially of the magnitude and deh'niteness of Variation. Variations affecting the opercular opening in Amphibia are mentioned in connexion with Bilateral Series. I. ASCIDIANS. Transverse vessels of Branchial Sac. 132. Ascidia scabra. Branchial sac in one specimen shewing abnormal and irregular structure owino- to branching of transverse vessels. The O ~ resulting appearance is entirely peculiar. HERDMAX, W. A., J. Linn. Soc. (Zool.), 1881, xv., p. 284, PI. xvn., fig. 3; also p. 330. 133. Ascidia virginea (O. F. Miiller): a case of great irregularity exactly similar to the above. Ibid., p. 330. 1 34. Ctenicella lanceplani. Branchial sac may present characters due to variations in disposition of transverse vessels &c., which assume three distinct patterns or marked varieties. LACAZE-DUTHIERS, Arch. Zool. Exp., S. 1, Vol. vi., p. 619, Vol. XXXIIL, figs. 9—11. 172 MKRISTIC VARIATION. [PART I. *1.S">. Ascidia plebeia 'Alder): branchial sac has very characteristic appfaraii. ••• and is very constant in the size of meshes, papillae &c. < >nc point is liable to variation: as a rule the transverse vessels are of tin- .-aim- calibre. but in several specimens every fourth vessel is much wider than the intervening three. HERDMAX, p. 331. Stiff niata and Meshes. i:lt!. Ciona intestinalis : meshes vary but according to no apparent method: "> stigmata in a mesh normal; 4 and 6 met with frequently; 1" tin- utmost seen. HERDMAX, p. 332. 1 •'•". Ascidia aspersa. In typical specimens, transverse vessels all same size, tin- meshes being square and undivided, but individuals occur in which many (not all) of these square meshes are divided by delicate tnuis\ .-r>H vessels into pairs of oblong areas. HERDMAX, p. 332. I:;N Styela grossularia. The genus Styeta is characterized by the pn-M-iice of branchial folds, normally four on each side, but in this species tin- folds are almost obsolete, being entirely wanting on the ',< •!> -ide ami reduced to a single slight inward bulging on the right -ide. Itc.irin^ internal longitudinal bars. This fold is separated from tin- dor-al lamina by a broad space without internal longitudinal bars. \ -imilar wide space is present on the left side of the dorsal lamina, ami two others .>n the vertebral edge of the sac, one on each side of the • •ndostylr. These spaces vary in size in individuals. They commonly • •ontain hi stigmata, but numbers down to 12 were frequent and in one case 1() only were present: only once more than 16 observed, and in tliar cose t/ien were .'•'•. Number of internal longitudinal bars on fold varies from >'> to !t, gem-rally 8 or 9. HERDMAX, p. 330. In considering tin- significance of these cases with reference to :ln- origin of Species it is to be remembered that the characters of •In- branchial sac, tin- sizes of the transverse vessels, shape of meslie-. and tli.- number of M iumata they contain are held to be of •In- first importance for the dassitjeation of Ascidians ; but HERD- MAN finds that while tin-van- highly characteristic in some species rhrv are not 80 in others'. m I I. t !Y< l.oST't.MI. *!:}!>. Myxine glutinosa. In this i^-nus then- are normally six pairs .,)' branchial pouches. I am indebted to Professor \Veldon for an account of a specimen dissected by him in which there were n pairs <.f these pouches. On the left side all the seven pouches Were di-tinet and sepai-ate, each having a separate open- Tin- ..Ifii.-t.iry tnli.Ti-lr in A^'idiaiis may ha\v a .lilY.-rcnt form and position in t individuals of tin- -am.' spcc-irs, l.nt tli.' range of variation changes iiK t.. thr species. .!/.. /.'/(// l>c tli.- most constant, Ascidia ririn>l, xxxvin. 'p. 313, I'ls. i. ami n. Vanati.'ii i.-^pirtinj.' the atrial p..n- will be con-i.li'i-.-.l in connexion -. ith I'.ilat.-ial Repetition. CHAP. VII.] CYCLOSTOMI. 173 ing from the oesophagus and a separate aortic arch supplying it. On the right side the sixth and seventh pouches were practically - D FIG. 27. Myxine rjltttinosa • specimen having seven pairs of branchial sacs. Diagram shewing branchial sacs, heart and aortic arches from the dorsal surface. On the right side the sixth and seventh branchial sacs were partially confluent. D. ces., ductus cssopliageus. (From a drawing kindly lent by Prof. Weldou.) confluent though each had a separate cesophageal opening and a separate arch from the aorta. In the drawing, for which I am also indebted to Professor Weldon, the cesophageal openings are not shewn. *140. Bdellostoma. In this genus the number of branchial sacs is variable, different numbers being found in different species and individual variation also occurring. The generic name Heptatrema was originally given by DUM£RIL from the presence of seven gill-sacs. In 1834 JOH. MULLER, finding that this character is not constant proposed the name Bdellostoma. Of three Cape specimens examined by him one had seven gill-sacs on each side, one had six on each side, and one had six on the right side and seven on the left. To these he gave the names B. hepta- trema, B. hexatrema and B. Jteterotrema respectively (Abh. k. Ak. Wiss. Berlin, 1834, pp. 66, 67 and 79, Taf. vil.). Further observa- tion has shewn that the number of gill-sacs in the Cape Bdello- stoma is liable to individual variation, some specimens having six while others have seven. The name B. cirrhatum (GuXTHER, Cat. Brit. Mus., vm. 1870, p. 511) includes these and the New Zealand specimens. As to the relative frequency of specimens with six or seven pairs or with an asymmetrical arrangement I have no in- formation. A collection lately brought from the Cape by Sedgvvick includes one specimen with six pairs and several with seven pairs. 174 M ERISTIC VARIATION. [PART i. HI. B. polytrema : single specimen from Chili, badly preserved hut apparently having fourteen pairs of gill-openings. GUNTHER I.C., p. .'.12. Sp. cimen having 14 ;_a 11 -openings on left side and 13 on right. SCHNEIDER, A., Arc-It, f. Nuturg., XLVI. 1880, p. 115 (cp. PUTNAM, /'/•• li • '. N. II. &, xvi. 1873, p. 100). /;. bischoffii: single specimen, 10 gill-openings on each side. ibid. Ammocoetes : having eight branchial openings on each side instead of seven, the normal number. The shape of the mouth of this specimen also .•diiiormal, heing described as somewhat square. [No satis- t'.u-tory description.] EDWARD, THOMAS. Zuoloyist, xvi., p. 6097. 1 [-2. In connexioD with individual Variation in the number of gill- saca in Myxinoids it should be borne in mind that in Petro- myzon tin -re are normally seven pairs of gill-sacs. The case of the Notidanidie may also be mentioned in this connexion. Among Selachians tin- Nut idanidse are peculiar in having a number of gill- slits iitluT than live, and of them Hexanchus has six pairs, while //••/,/, ///(•////.-• ha.- seven1. III. CERVICAL FISTUL.E AND SUPERNUMERARY AURICLES IN MAMMALS. Though tin- evidence of this subject is well known and has often been collected, it may be convenient to give here some .detract of the farts in so far as the phenomena of Variation are illustrated by tln-m. Since cervical fistula; have been believed to result frci 1 1 tin- | H •! sistence of the embryonic branchial clefts, they may properly IK- considered in relation to the general question of Variation in the numher of gill-slits, while the development of external appendages pei'hap- Anally homologous with the external ears, directly concerns the subject of Meristic Variation. Man. The .subject has been studied by many observers, espe- cially by ASI-III:I;SII\-, and by HEUsiNGER3, who brought together and abstracted 4, with an analysis of Go cases. A further paper liy ! 1 1:1 siNci.i; contains a general account of these structures as 'he\ are toiind in Man and in the domestic animals. Additional casi 8j i.>;j, ther with a general discussion of the subject, especially in relation to tistuL-eon t he external ears, were given by Sir JAMES ' Balanoglossus. In li\v sjiccios with which I am acquainted, the number 'f ^'ill-liars ami >lits varies in prnportion to the size of the l>\V tlirnu^lmut life, it is probable that the miiiilirr i if ln-aii'-hia is always increasing by formation <>t new ^ill-slits at the posterior end d" ill.' branchial re^imi. The same is probably true of Amphioxiis. \ -• .11 toast, I>,' iiit. a. I'ln/.t.. 1st; i, \\ix. • I i-' in n, (•.. Dent, /.t.<.<-li.f. clunir;!., I.s7:i. Hi V-IN..I.I:. li.nt. Zttch. f, Th ic nn., 1*78. CHAP, vii.] CERVICAL FISTULJE. 175 PACiET1 in 1878. Lastly, the whole evidence as to cervical fistulse and the structures associated with them has been fully collected up to 1889 and tabulated by KOSTANECKI and MIELECKI-, who also discuss in detail the relations of these abnormalities to the facts of development. The following account is taken from these sources. For figures the reader is referred to the original memoirs. *14o. Cervical fistulas are generally known as orifices placed in the region of the neck, leading into a sinus of greater or less extent, varying in size from a mere pit to a 'duct some inches in length. In the greater number of cases the sinus ends blindly, but in about a third of recorded cases (K. and M.) it passes inwards to open into the pharynx, forming thus a communication between the pharyngeal cavity and the exterior. Such passages are spoken of as complete cervical fistulas, those which have an external but no internal opening being external incomplete fistulas. Besides these there are cases of diverticula from the pharynx or oesophagus which do not reach the exterior, and these are known as internal incomplete fistulas. Cervical fistula? are more commonly present on one side only, but in a good many cases they have occurred on both sides. According to Fischer they are more common on the right side than on the left. The following statistics are given by him. 65 persons had 79 fistulas : .')! unilateral, 1-4 bilatei'al: 20 complete, 53 without an opening to the pharynx : of the unilateral cases 33 were on the right and 13 on the left : 34 in males, 30 in females. There was evidence of heredity in 21 cases. The external opening is very small and may either be on the surface of the skin or elevated on a minute papilla. Sometimes it is covei'ed by a small flap of skin as with a valve, in other cases it is placed as a fissure between two lips. The positions in. which the ex- ternal openings of cervical fistulas are found are very variable, but in the great majority of cases the opening is close to the middle line in the neighbourhood of the sterno-clavicular articulation, generally from a few lines to an inch above it, on either the inner or the outer border of the sterno-cleido-mastoid muscle. In rarer cases the external opening is placed at the level of the middle of the cricoid cartilage, and is sometimes just behind the angle of the jaw. These positions are not however at all precisely maintained, but vary a good deal in different cases. When the external opening is in the higher situation and the fistula is complete, a sound may then be passed into the pharynx, but when the external opening is low, the duct when present passes upwards covered by skin only, in a straight line so far as the upper limit of the larynx, at which point it turns at a sharp angle upwards and inwards. For this reason it is not possible in such cases to follow the course to the pharynx by means of a sound, but in some of them the presence of an internal opening has been proved by the injection of fluids having colour or taste. The position of the internal openings is also variable, and from the nature of the case has been accurately 1 PAGET, Sir J., Trans, lied. Chir. Soc., LXI., 1878. 2 VON KOSTANECKI untl VON MIELECKI, Arch. f. path. Anat. u. Phys., cxx. and cxxi. I 76 MERISTIC VARIATION. [PART I. determined in comparatively few instances. In a case dissected by NI.I BOFEB1 then- was a fistula on each side, the external opening >.f tin- rL'ht was .', in. from the middle line and 7 lines above the cla\ide. that of the left was 3 — 4 lines higher and further from the miildlr line. The right internal opening was on the posterior border of tin- pharyngo-palatine muscle, behind the cornu of the hyoid near the t-.ii.-il, tlif left internal opening being rather higher than the right. Internal openings of such fistula- have also been seen on the edge of tli.- arcu- phai yngo-palatinus, also in the neighbourhood of the root of tin- tongue. SKIM;I.J gives a ease in which there were two fistula1, the -•lie .,11 the right side in the upper position, and the other in the middle line at al.out the same level, but whether either of these communicated uith the pharynx could not be made out. The twin-brother of the -aim- int'ant had a single minute fistula. The duets of cervical h'stuhe are usually of greater calibre than the external openings but they are rarely wider than a fine quill. The walls an- tough and the lining epithelium, is sometimes flat and some- time- eiliat.-d. The degree to which the walls are sensitive differs in di He rent eases. The external opening is described in several instances as having a reddish colour. In three cases of the presence of branchial fistula- in female patients, it is recorded that the external openings became intlaiued during the menstrual periods. I'r-.in the point of view of the naturalist the chief interest of eer\ ical fistula- arises in connexion with the question of their mor- phology. Since the time of Ascherson the view has been commonly accepted that these structures arise by persistence of embryonic gill- clefts, and some of the recent writers3 on the subject have gone so far as t.. apportion the various forms of cervical fistula? among the several gill .-lefts from the first to the fourth, according to the situations of the external openings, giving diagrams shewing the regions occupied by each. As KosTANKCKi and .M i Ki.KCKi point out, this apportionment is quite arbitrary; for in the development of the neck the external in- \ aginations f-,r all the clefts behind the hyoid arch become included in the sinus cervicalis of Rabl (sinus pnecervicalis of His), which is e\ent ually dosed by the growth of the opercular process from the hyoid arch. The external opening of a cervical fistula may thus re]. resent a part of the sinus cervicalis still left open, but it cannot on the ground of its position be referred to any gill-cleft in particular. Sii.-h reference could only be properly made on the ground of the position of the internal opening and the course of the duct in relation to structures \\hose relation to the visceral clefts is known. More- over owing to the \\ay in which the .'5rd and 4th clefts are shifted in\\ards by the formation of the sinus cervicalis, Kostanecki and Mielecki consider that they are practically excluded. The same authors after an analysis of the cases in which the position of the internal opening has been properly ascertained, come to the conclusion that in all these it falls within the region of the 2nd visceral sac Nri H.. i IK. M.. I','!,, d. tiH()<-l>. llal.yixtt'l, Inau},'. Diss., Munich, 1847. - Si n. i i., .1., !>,• /i*t. t-nlli cuiiii/'ii., Iiiaug. IHss., Breslau, 1863. 3 Sri I..N. .1. r.i.\Ni., L'liic, i, isss, p. 308; CUSSET, Etude sur l\ii)i>areil branchial tSO., Pans, 1887. CHAP, vii.] CERVICAL AURICLES. 177 (hyo-branchial). Besides they point out that the evidence in the few cases in which the course of the duct has been traced, shewed that it passed between the external and internal carotids. In their judgment, therefore, cervical fistula? are all to be referred to the second (hyo-bran- chial) cleft. Next it is to be remembered that according to many observers (especially His) there is at no period a complete connexion between the outer gill-clefts and the evagination from the pharynx or branchial sacs, but the membrane separating these chambers is stated by tin-in never to be broken down. If this account is accepted, it is, as Kostanecki and jMielecki have said, necessary to suppose that in the case of any complete cervical fistula a communication between the exterior and the pharynx has arisen by some abnormal occurrence. This is illustrated by reference to the normal condition of the first or hyo-mandibular cleft. Here the auditory meatus represents an external incomplete fistula, and the Eustacbian tube an internal incomplete fistula, the two being separated by the tympanic membrane. In a single case given by VIRCIIOAV' a complete passage existed congenitally in this position, together with great abnormality in position and form of the external ear. From the evidence it may thus on the whole be concluded that incomplete external fistula? result from imperfect closure of the sinus cervicalis, and that incomplete internal fistula? may arise by persistence of one of the branchial sacs, but it is doubtful whether many cases of the latter properly belong to the category of branchial fistula? at all. Supernumerary A uricles. 144. Abnormal appendages attached to the neck have been described by several observers, and by those who have discussed the subject of cervical fistula? some account of these appendages is generally given. In the neighbourhood of the external ears, especially near the anti- tragus, such structures having the form of small warts or flaps of skin are not very uncommon. Their presence is generally associated with deformity of the external ear, and often with what are known as "aural fistula?2." In the region of the neck, supernumerary auricles 1 VIECHOW, Arch, ptitli. Aunt. it. Pliys.. 1865, xxxn. 2 Aural fistulas are spoken of by many writers as being of the same nature as cervical or branchial fistula?. They are blind ducts or pits, opening on some part of the external ear and are nearly always associated with other abnormalities either in the form of the ear or defective hearing, &c. (Scmriiz, De fist, colli coni/en., Inaug. Diss., Halle, 1873 [not seen, W. B.]; URBANTSCHITSCH, Moiiatxch. f. Ohrfiih., 1877, transl. Edin. Med. Jour., xxm. 1878, p. 690.) They may be either unilateral, or on both sides of the body. SIR JAMES PAGET (Trans. Med. Cliir. Soc.. LXI., p. 41) described the occurrence of such fistulae in the ears of several members of a family, many of whom were affected with deafness. The supposed connexion of these fistulas with cervical fistulas was in this case suggested by the fact that several cases of actual cervical fistulas occurred in the same family, several of its members having both cervical and aural fistulas. From the evidence of the not infrequent association of the two kinds of malformation most writers (PAGET, URBANTSCHITSCH, &c.) con- sider that the aural fistulas must be biauchial in origin and may be taken to represent the first (hyo-mandibular) cleft. KOSTANECKI and MIELECKI (I. c.), following His, point out that since in no case has an aural fistula ever been known to communicate with the auditory rneatus or tympanic cavity, this belief is unsupported; and in addition, that from the mode of development of the external ear from a number of tubercles, it is B. 12 178 VA1MATIOX. [PART i. are nm.-li raivr. l.ut in several instances they have attained a consiilt-rablr .|i-v.-l..j.in.-iit. < »f tlii> class of variation the f..ll»u ini,' well-kn«)\vn case tin- ni"-t n-markaUf. - HIM- 14-5 A healthy female iiifiint was brought to Ciuy's Hospital in 1851 on account of Og ;_'io',vth- about tin- middle of the lateral cervical region-. The i i.'in..ved until February Is.-.s, when they were found to have i,,,,, i ... , situated over about the centre of the sterno-cleido- jna-toid mil sell s. Co the 1 'h«-y resembled the tissue of the lobe of tin- auricle, an. I tli- v contained within them a linn resist ins,' nucleus like the cartilage oi the Tli.-v w. ic also I with peculiarly delicate, soft, downy hairs. lik.' tli. lohe ..f ih" ear. They W.T.- excised without difficulty. Each was supplied with a Mnall artrry. Tiny appeared to be intimately associated with the fibres of tli.- pliity-uia m ..t' dippin- de, per than this structure, and to be entirely appendagi -. (Fig. 28.) l-'i... _'>. I'liild having a \vfll-dcvel«.ped supcruimierary auricle on each side of th«- n.<-k i IP in I'.n.i.i itical Mcti.'ii WH- made in the Lui^' axis of cadi growth; and the tissues of lli.' liilii< and ..t ill.' libn'-rai tilav'"1 <>f the auri.-lr wen- dearly distinguished. The -hap.' i >( tlic Qbro-oartilage resembled iimir i,\- less closely m parts, the outline of the pi.'per auiiele, ami its ti.v-m > were the same. BlBKETT, J., Tninx. Path. Soc. / and., a., I*.'.*, p. i ts. tig.'. -ii!)iei.-ni to suppo-e that aural fistula' arise by the imperfect union of these tubercles. The fart, however, that th.-e various defects in development of the branchial appaiatu- and iN del i\ at i\ .•- ai v fre,|ueiitly a>^.oei:itet 1 t. ^'et her is well established. A- indicating the freipiency of a--nciat inn with disease of the ear, Urbautschitsch iinntioiis that in •Jiion aural caseB, 12 iiistauc.'- of aural fistulfe were seen. The -am.' author ^-ives a reiuai kalile ca-e of the occurrence of aural fistula on the riijlit "iilij in many memhei - ..f the same family with other ini]iortant particulars (/. c.). In Lancet, ]*"•*. n. ]'. :'.'.i'.i (cpioting KAUVIV), and in a jiaper by VIUCHOW HpiMtni^' \Vii.i. i i, .In-/;, ji.itli. .liiii.-.tri I/inn., Norimb., Itlsj, pp. 3(5 . i ciribing a child with "four ears." On referring to the original however il aj. p.ars that this was merely a double mon-ti r. having two incomplete heads, and thus hears no analogy with the present examples. CHAP, vii.] CERVICAL AURICLES. 179 Several cases analogous to the above, though differing in the extent of the development, are on record '. KOSTAXECKI and MIKMCCKI (I. c.), who give references to the literature of the subject, consider together with VIRCIIOW and others, that there is no doubt that these super- numerary auricles may properly be regarded as "heterotopic" partial repetitions of the external ears. According to a view which has been held by the majority of writers on the subject, and which is in part alternative to that given above, it is suggested that the cartilages contained in these appendages are in reality parts of one or other of the usually undeveloped branchial arches behind the hyoicl. As against this suggestion it is to be remembered that in the subsequent develop- ment of the neck these arches are pushed in far from the surface, whereas the cartilages in question are always superficial. The usual histology of these bodies is in favour of the view that they are repetitions of the ear-cartilages, but on the other hand a specimen of cervical auricle in Mus. Coll. Surg. (No. 373, c) contains not only cartilage but also a small bone of complex form. But whether or not any part of such cervical auricles truly represents any part of the gill-bars, it is clear that these external projections having the structure of the ear, con- sidered from the point of view of Variation must be regarded as partial repetitions of the ears, and there is a considerable probability that they stand to the sinus cervicalis in a relation similar to that which the normal external ear bears to the hyo-mandibular cleft, being according to the terminology here proposed, examples of repetition by forward Homceosis. In this connexion the question of correlation between supernume- rary auricles of the neck and cervical tistuke is especially important. If it is true that such auricles are repetitions of the ears, it might, on the analogy of other cases of repetition, be expected that they would usually be found bounding the external openings of fistula^. As a matter of fact they have several times been found in such a position, but the connexion between these two variations is by no means a close one, for cervical tistuhe are not as a rale accompanied by cervical auricles, nor are cervical auricles generally associated with cervical fistula*, such collocation being on the whole exceptional. It should also be men- tioned that in a few cases small cartilaginous or bony structures have been found imbedded in the neighbourhood of cervical fistulas, but that similar structures have also occurred independently of any fistula2. In many domestic animals both cervical fistuLe and auricles are well known and have been described by Heusinger3 from whom the following account is chiefly taken. 146. Pig- Cervical auricles are not uncommon and have been referred 1 A figure is given by SUTTON, J. B., in III. Meil. Xews, 1889 (repeated in "Ecolutiaii niul Dixfaae," by the same author IH'IO, p. 83), representing a large supernumerary auricle on the right side of the neck of a girl. The structure is represented as helicoid in form, closely resembling the normal ear. It is unfortunate that no description of this specimen is given: in tbe absence of such •description tbis quite unprecedented case cannot be accepted without reserve. - Dermoids of many kinds occurring in the cervical region of Man and other animals are by many writers considered to arise by modification of tissues occluded from the walls of the branchial clefts. 3 HEUSINGER, Dent. Arch. f. Thicrmed., 1876, n. 1 9 O i.m — ' 180 MERISTIC VARIATION. [PART I. to a- di-t miruisliiir.: particular local breeds. They are generally paired ictures. Tli" t'ollouiiig case is exceptional in the fact that the auricle ua- pre-.-nt mi the left only, and that it was associated with an op, -nil,.,' po--ibly of a cervical fistula. A pig having a single appendage about 7 cm. lung attached under tin- lower jaw on the left, is described liy Ki DEfi DESLONGCHAMPS '. It contained a stalk of cartilage stated IM ha\e i .-.-ml. led the cartilage of the ear. To this on either side was attached a small muscle. Unfortunately the appendage had been cut • •I!' dose t«. the .skin. A small opening (pertain) was present on the skin near the appendage, and from this opening a small brush or tuft of bristle- prut i -tided. Fistul:e in the neck of swine are well known as giving rise to a disease called u-eissK Jiorate ill Germany (Fr. la Sole or poil piqu£) from the fact that certain white bristles are found at the opening of the • liict. In the popular fancy it is supposed that the bristles themselves bore the perforation, but according to ZUXDEL* they are congenital and iif-'n bilateral. Ib-usinger agrees with Ziindel in regarding such open- ings MV branchial li-tula-. 147. Sheep :in,l Goats. < Vrviml fistula? unknown, but appendages on the neck imon. The -h> i p nl' tlir \\ 'd-ter marshes are described3 as having the neck bare «i \\nol, and an a)i|i. HI MIU ••• as of a fur-collar. Above the collar and below the jiliarynx tln-y li:i\i- a pair of appendages about the size of an acorn. Such ap- p,-n'la;_'>-< ar> -aid tu lie u<>t uncommon in Merinos'1. Among the Kalmuck and Kirghiz sheep ami ;_'<>ats -ueli auricles are said by Pallas5 to be common. In many ign 1.1. . - i.r ;_•... u- these auricles seem to be a constant character. In position tln-y may \aiy fr-mi tin angle of the jaw to the middle of the neck. The length is ii-ually aln mt :', in. hut they are recorded as reaching 15 cm. Figures of goats b:i\ing such auricles are vi\oi by Scxxox8. The anatomy of one of tbese bodies is nli.il 1>\ < MM i;u \:, and it is mentioned that a plate of cartilage was found in the intt n.'i-. A -imilar rai ula-i \\a- 1'mind by STEWAUT* together with striped muscular tiln'i'. (iniiliaiix ^'i\«- a ca-t- of two she-goats on a farm, one having cervical a|'i» adagi a, the ntb.T having muie. I-'.ach gave birth to a pair of kids at the same time. Kadi pair \\;>- a mall- and female, and in the one the male only had the appi inla^e- and in the nther the female ,,nly. The character- of th.- father of these kid- were not kno\\ n. Ox. Neithei e, rvieal li-tul:e n>,r aniii -li •- known. ]4S. Horse. inger]. 1 BCHMALZ, rhitroeri .//»//./>•/.•//»./<•. p. -J-JK [Hctisinger]. ' Spicileg. Zoo/., xi. p. 17'J (two li.-uivsi. Sl i i"s-. •'. I'-.. i.r«lntii»i ninl /'/scr/.v,'. pp. S4 and 85. ' • > BAUX, Pec, il<' M-',i. Vitir., Sei. :>, i\. p. 335. 1 iin-il by Sf i CON, /. r , p. s7. CHAPTER VIII. LINEAR SERIES — Continued. MAMMAE. SOME of the phenomena of Meristic Variation are well seen in the case of mammae1, and especially in the modes by which increase in the number of these organs takes place. The facts regarding these variations in Man have so often been collected that it is scarcely necessary to detail them again. For our present purposes it will be sufficient to give a recapitulation of the chief observations in so far as they illustrate the pheno- mena of Variation. The most important collections of the evidence on this subject are those of PUECH*, LEICHTENSTERNS, and WILLIAMS*, from whose papers references to all cases recorded up to 1890 maybe obtained. Besides these, BRUCE 5 has given a valuable account of a consider- able number of new cases together with measurements and statis- tical particulars. These accounts contain almost all that is known on the subject but additional reference will be made to original authorities in a few special cases. In Man supernumerary mammae or nipples nearly always occur on the front of the trunk, being usually placed at points on two imaginary lines drawn from the normal nipples, converging in the direction of the pubes. These lines may thus be spoken of as the •• Mammary lines." It is with reference to supernumerary mamma? occurring on these lines that the subject of mammary variations is chiefly important to the study of Meristic Variation. In addition to these, however, there are a few well authenticated examples of mammse placed in parts of the body other than the mammary lines and of these some mention must be made hereafter. 1 It will be understood that facts as to variations consisting in absence of mammfe or nipples and other such changes do not conae within the scope of this volume, but belong rather to the province of Substantive Variation. - PUECH, Les Mamettes et leiirs anomalies, Paris. 1876. 3 LEICHTENSTERN, I'irch. Arc h. f. path. Aunt. u. Pliy*., 1878, LXXIII. p. 222. This collection was apparently made independently from that of PUECH. 4 WILLIAMS, W. ROOER, Jour. Anat. Phi/s., 1891, xxv. p. 225. 5 BRUCE, J. MITCHELL, Jour. Anat. Plnja., 1*79, xni. p. 42-5. 182 MKRI.ST1C VARIATION. [PART I. In tli.- great majority of cases (over 00 per cent., LEICHTEN- si i. UN ' ) of mamma' placed on the mammary lines, the supernumer- ar\ structures are below the normal ones, being then as a rule in- ternal to ih. in, while those found above the normal mammas are 1 ss common and are external to the normal mamma;. The di- Man- -araiiug the normal from the supernumerary mamma- .ily indifferent cases, and most conditions have been -• . 11 intermediate between a stage in which the nipple is bifid, and that in which completely separate supernumerary mammae are pre- sented. It is of consequence to observe that there appears to be mi case in \\hich a supernumerary mamma is so large as the nor- mal mamma of the same individual. Tin- degn-o to which supernumerary structures of this nature are d«-\el,,ped is very various. They may be fully formed mamma- with nipples, in th«- female capable of function; while in oth. r n th.- contrary, they may either consist of nipples only, ML; n.. males 47 cases (2*857 percent.). These persons were patients at the hrompton Hospital for Consumption and were not specially ex- amined with a view to this inquiry. Among '.}\~y such persons examined I'm- tin- purposes of these statistic-. 1^4 cases were seen (7'<; per cent.), 1!) being male and ~) female. In cS cases two extra nipples \\.-re pn-.-nt. and one doubtful case of three extra nipples 1 N.»t including mammary tumours \\itli. >ut nipples in tlu- a\ill:i . CHAP. VIII.] MAMMAE. 183 was seen. Bruce regards 7'6 as for various reasons rather too high a proportion. In a recent paper BARDELEBEN however states ih.ii among 2736 recruits examined with regard to supernumerary nip- ples, 637 cases (23'3 per cent.) were seen, 219 being on right side. 248 on left side, and 170 on both sides. The discrepancy between these statistics no doubt arises through want of agreement as to the inclusion of cases in which the extra nipples are very rudimen- tary. It seems to be clearly shewn that the abnormality is commoner in men than in women, and there is some evidence that it is nx>r<' frequent on the left side than on the right (BRUCE, LEICHTEX- STERN and BARDELEBEN). It is also well established that super- numerary nipples are much more commonly present as single than as paired structures, and that when paired they are by no me;m- ahvays at the same level on the two sides. Cases of the presence of supernumerary mamma? as paired structures symmetrically placed are nevertheless sufficiently numerous. Organs of this na- ture may also occur simultaneously on the same side of the body at different levels. For example in one of LEICHTENSTERN'S cases, a small secreting supernumerary mamma with a nipple was pre- sent in the left axilla, while there was also another supernumerary nipple on the lower border of the left breast. The greatest num- ber of supernumerary nipples occurred in a case described by NEU- GEBAUER1, represented in Fig. 29. In this patient there were on each side three supernumerary nipples above the normal ones, and Fir,. 29. Diagram of a case of four pairs of supernumerary nipples in human female. The normal breasts raised to shew the lowest pair. (After NEVGEBAUER.) 1 NEUGEBAUEE, F. L., Central!), f. Gijni'ik.. 1881), p. 7'-".'. 184 MKKISTK VARIATION. [PART I. on i- "it ••:i<-li side below them. The latter were concealed by the pendent breasta When the child was being suckled milk oo/.-d from each of tin uppermost or axillary nipples, but from the n -maining MX Mipernumerary nipples milk could only be extracted l>v pressure. The flowing of milk from supernumerary nipples when tin' child is at the normal breasts, has often been observed. A few references to cases exhibiting the several features above llielit I -d lll.'IV In- ,,f II-.-. I4!>. l!itid ni|iple. the same on each lnva-t [plane of division not -peciM- dj. |)i VAI.. l>u Maiiielon et de -son aureole, Paris 1801, p. !MI. 1 .'id. Two nipples on the same areola, bilaterally symmetrical. The t wo nipples >tood in the mammary line defined above. TIEDEMAXX, Ztsch.f. Physiol, v., l.s:«, p. lid, Taf. i. fig. 3. I ;, i. Cases are given by CHAIKJOT and LE GEXDHE, Gaz. med. de Paris, Is* •"'!». p. 77-'!. in which an extra nipple was placed external to the n..riiial one mi the same breast. In one of these the extra nipple li.nl n. i areola Leichtenstern (p. 253) in quoting these cases, -peaks <>f them as instances of supernumerary nipples on the vaiue level as the normal ones, but this is not expressly stated in the original account, which does not, as I think, exclude the p.— iliility that the supernumerary nipples were above and external to the normal cues. Two functional nipples with separate areolae on the lett breast, which nevertheless was not larger than that of the ri-ht -ide. il,nl. The same authors mention another ease in uhich >uch a second nipple had no areola; the mother of patient Lted to ha\e been the same. See also SIXETY. Gaz. I/K:/»-IIlioidd not be accepted without hesitation. The same may be ^aid of the case of jh'c nipples each having an areola quoted by PEROT and LAURENT, !>><•/. Sci. m«i.. \x\iv. p. r)i7,.v. v."Multi- mamme." The authority for this case is a letter of HannaMis to llorrichius, dated Hi7">. 1 have not found any observation of this class ..f abnormality later than the seventeenth century, but it is of course quite pliable that cases may occur in which the nipples are distributed on the breast otherwise than along the mammary lines. CHAP. VIII.] MAMMAE. 185 15? o. Supernumerary mamma with nipple in axilla, LEICHTENSTERN, p. 245, and others. 154. Supernumerary mamma above and external to the normal ones. Numerous cases; see especially case of two bilaterally symmetrical mammae in this position, SHANNON, Dull. Med. Jour., 1848, v. p. 266, Jig. [figure repeated by AHLFELD, WILLIAMS &c.]; also similar case, QuiXQUAUD, Rev. photogr. des hop., 1870, p. 11). 155. Supernumerary mammae below and internal to normal ones: numerous cases, see LEICHTENSTERN, &c. In nearly all these the FIG. 30. Supernumerary nipples and mamma? of different sizes in human female. (After BRUCE.) supernumerary organs are close to the normal mammae. A few examples of such structures on the upper part of the abdominal wall are known, e.g., TARNIER in his edition of CAZEAUX, Traite de I'art des Accouchements, 1870, ed. 8, p. 86. In the male several such cases are recorded, e.g., BRUCE, J. An at. P/tys., xin. 1879, p. 446, PI. Examples of this kind in the female are shewn in Fig. 30 (after Bruce) and in the male in Fig. 31 (after Leichtenstern). 156. Mammary tumours in the axilla are described by CHAMPNEYS, Med. Cliir. Trans., 1886, LXIX. p. 419, as of common occurrence in lying-in women. These structures are of various sizes and without any nipple, pore, or duct. The secretion was obtained by squeez- ing the lump and oozed through the skin at the situations of the sebaceous follicles. In this manner both colostrum and milk were obtained, following each other as in the normal mammae. Similar observations in single cases have been made by man}r writers. 157. Redundant mammary tissue of this kind connected with, and thus forming an axillary extension of the normal mamma?, CAME- RON, Jour. Anat. Phys., 1879, xm. p. 149; also XOTTA, Arch, de Tocologie, 1882, p. 108. 180 MKKI-TK' V.\i;iATI«>X. [PART i. *15S. 'l',i'n y/,///-.s' of supernumerary mamma- below the normal ones, hi; MORTILLET, Hull. Sue. d'Aiithrop., 1S83, Ser. 3, vi. p. 4:>S. An FIG. HI. S.M]" Miimi>'i;iry mamma; in the male, symmetrical and asymmetrical. (Aft'T I.l.K II I l-Nsri I.'. .1 important case of a man having two pairs of supernumerary mamma' ,,n tin- mammary lines. There was a gradual diminution in si/r from the highest to the lowest, the latter being a little above thr level of thr umbilicus. Each pair was at the same level. /•'(////• jtiiirs of superiiumrrarv nipples (ten in all) are recorded only in NI.I GEBAUER's patient, already mentioned. Three of the siipernumerarv pairs \vrrr above the normal ones, and the other pair brlow thrin. As srrn in Fig. ^!) the nipples of each pair did not stand in the case of each pair at precisely the same levels, and between those of the lowest pair there was a considerable differ- ence of level, thai on the left side being at some distance below the normal breast, \\hile that on the right side- was on its lower border. In a fe\v cases the suprrnumrrary nipple js described as having perpendicularly below thr normal one. and it is likelv that such cases must be looked mi as exceptions to the general rule that the mamiiian lines converge posteriorlv; but it is not impos- sible that even in son f them the supernumerarv nipple might ha\e been found to be rather nraivr the middle line if this point had been specially inquired into. The foivgoing examples are given as selected illustrations of thr several facts, and for full lists ,,f cases the reader is referred to I he \\ orks alreadv ineiit ioned. • 100. ( >t' supernumerary maimn;r placed in parts of the body other than tin- mammary line sum,, mention must be made, though those of them CHAP. viii.J MAMMAE. 187 tliat are authentic have no close bearing on the subject of Meristic Variation. There are firstly two often quoted cases1 in the Mi.^-i-11,1,,,-,1 Curiosa in which mamimu are said to have been present on the back, but as has already been remarked, many of the stories told in this collection are clearly fabulous, and this is especially true of the contri- butions of Paullinus. Both these records are given at second hand and the first case (Paullinus) is said to have been seen in 15(i I, more than a hundred years before the date of the account. Helbig's accounts of t liings seen by himself are generally trustworthy, but in this case he is onlv repeating what was told to him by a Polish noble about a woman seen in Celebes. There are no modern cases oil record. There is however indisputable evidence of the presence of a mammary gland 011 the thigh (especially ROBERT'S case; for references to several accounts of this see Leichtenstern, p. 255); on the cheek, EARTH, Arch. f. path. An,<\ d'Anthrop., 1885, p. 230) stated that TESTUT had lately seen such a case and was about to publish an account of it, but this has not yet appeared (1892). Most writers on the subject have accepted cases of supernumerary mamma placed (interiorly in the middle line. These are given by PERCY and LAURENT, Diet. 8ci. med., xxxiv., 1819, on. the authority of several different persons. One case was seen by themselves (p. 526), and in it the third mamma stood below and between the other, forming a triangle with them. In another case given on the authority of GORR£ there are said to have been a pair of extra mamma? below the normal ones, and a fifth between the supernumeraries. In view of the fact that many paired organs may by Variation occur compounded in the middle line, there is nothing incredible in these accounts, nevertheless there is, so far as I know, no recent observation of such an occur- rence in the case of mamma?, and with the one exception (which is very briefly described), the accounts given are at second hand2. It is moreover not clear that the words used "au-dessous et an >n!/i?ii des deux autres" do not mean simply below and /w//w,, the other two. The case contributed by Gorre is nevertheless given in great detail »/ and cannot lightly be set aside. Before speaking of the bearing of these facts on morphological conceptions it is necessary to refer to some of the phenomena of 1 PAULLINDS, MisceU. Curios., etc., Dec. ii., Ann. iv. Kj8<>, y>. '208, Apju'iHii.r. a case said to have been seen in 1564; also OTTO HELBIG, ibid., Dec. i. , Aun. ix. and x., pubd. 161)3, p. 456. - Williams (p. 235) quotes BARTELS, Arch. f. Aunt., 187'2. p. HOi'.. as alluding to such a case, but I do not think that the passage is meant to convey thi* meaning. -- Mi:i:i-TH VARIATION. [PART i. mammary Variaii'-n in other mammals. In connexion with the Mm it in iv In- mentioned that supernumerary mamma he|,i\v and internal to the normal ones has been seen in Macacus and in Cercopithecus patas, SUTTOV J. B., Intern. Jour, of Med. 1889 \< VII. pp. •!'>'! and 2.~>:> ; in the Orang-utan, OWEN, i. A • iii. p. TMI. In many mammals the number of the - i- very inc"iiri"i.'iit.'il ;is u sharji line; there was no such t ileiiiui-cati,.|i ; die ^kiu heinu' MTV slightly ile]iri'sseil in this place.) II. ! the thinl 1'iiir Imili c.nni'leti •, . - pal CHAP. VIII.] MAMMAE. 189 *1G2. one side of the udder. The sketch given in Fig. 32, I. was taken from a heifer having an arrangement intermediate between the condition with four teats and that with six. A.S the figure shews, on the left side there were three complete teats but on the right side the third teat was incompletely separated from the second. This third teat was joined to the seconcl for its whole length but had a separate pore. The animal which belonged to the St John's College Dairy Farm was unfortunately sold before the first call' was born, so 1 had no opportunity of seeing whether milk was given by both these teats. The significance of such a case will afterwards appear. In many mammals, such as the pig, rabbits, cats and dogs, the mammae are distributed in two mammary lines along the ventral surface. The number of the mamma? in such cases is noto- riously variable, and in some respects this variation is interesting and has a bearing on questions of the nature of Meristic Repetition. If a number of such animals be examined it will be found that as a rule there are the same number of glands on the two sides, and that they are arranged in pairs, those of each pair standing at the same level or nearly so. Nevertheless departures from this ar- rangement are very frequent. Individuals are in the first place commonly found with a different number of mammae on the two sides, and in such cases it is interesting to observe that together with the difference in the number of mammje on the two sides V V FIG. 33. Diagram of nipples in a male Bull-dog. On right side, four ; on left, five ; the two anterior and two posterior being almost at the same levels. •limb, umbilicus. The dotted line shews the outline of the thorax. I '.Ml Mi:i:l-Tli \ A.RIATION. [PART i. rally if m-i alway- a disturbance in the paired arrange- !•;:{. im-ii!. A -impl.- «-a-- oi this kiud occurring in the dog is represented in I 33 Tli.- animal i> a male bulldog lately in my possession. <>n th«- i le there are four nipples, while on the left there ti\i-. Tin- most anterior «m each .side stand almost at the same 1 «.n the thorax. The second on each side are almost at the (..-low them, that on the left side being ± in. higher. Similarly the ni".-t posterior nipples stand on each side at alnn»t • tly tip -aim- I'-vel on the sheath of the penis, the total length from tin' first to the last nipple on each side being practically the same. ' 'n the left however there are two nipples placed between th'- second and tin- la-t. but »n the right there is only one. This nipple stands at a level not far from the middle between the :'>id and 4th of the <. ther side, making as it were a complement to UF halaiifr \\ ith I In-ill. I (''4. Thirty-five \i>iin^ pigs examined with regard in these questions ;«• toilouin-- i-'-suhv They helon;_M-d t<« five litters (oU puiv- •i Tamuortli- : ~> cross-bred, nut of l!.-i-k>hiiv s<»w. sire unknown ). Th- - were all quite \..un^. about a fortnight old, and conse- '|iientl\ there wa- no displacement due to functional development of tin- MA MM i . . I I'j, . A. t> ii regularly arranged in*pairs ..................... :; I'.. 7 7 ..................... 10 ditto oth rudimentary ............ 1 ditto 4th rudimentary ............ :i Iv 7 s all paired exc. 1. 4th rfldimentary .. ............. 2 I-'. 7 s 1. 4th rudimentary, 1. 3rd and 5th displaced... 1 s rt -Jud balances \. I'nd and :!rd .................. 1 H. -7 1. 2nd balances rt. 2nd and !3rd .................. 1 7 I. onl balaners i-t. :,nl and 4th .................. 1 K. »i 7 rt. I-' balances I. Nt and 2nd .................. 1 I.. "I 7 1. -Jnd rudinientai-y 1. 1st and onl dis]ilaced. . . ] 7 all paired exc. 1 4th nil linieiitarv ............... 1 M. 7 ~ altogether irregular ........................... 4 < ). ii <; ditto ........................ "' o P. 7 ii ditto ........................ ' J1 <,» 7 s ditto ....................... i K. s - - 7 ditto ....................... I Total 35 Tin- animals in groups D and K. except ...... ,,f thelatter.be- same litter. In them a small rudimentary nipple • ..1 betu,.,.|, the :in| .-Mid .".th. but the latter were not spaced out *'•"• i'. being Q« Further apart bhananj oftheothers. The measure- CHAP, vin.] MAMM,E : COMMENT. 191 ments of the distances between the nipples on one side in one of these cases were, in inches,!^, 1, ^, TTT,J$> It'Trr* tne rudimentary nipple standing y^ in. from either of its neighbours. In the D ° ' O 02 10 o ° 2 o ° s * - O O OS o 20 JO 3004 O .3 °4 03 3 O 4 O O 5 O O -1 O ° o 4 o'* .o *° o. ° ° oo o o s o o a o o o o 7 o o 8 6 o o 7 7 » o 8 Ij o o 7 Coo7 £ F G K L FIG. 34. Diagrams of nipples in very young pigs. Letters refer to groups in No. 104. group this was found on both sides, but in the E group on one side only, as in the figure (Fig. 34). Comment on foregoing evidence. On looking at a series of cases like those roughly illustrated in the diagrams, one is tempted to inquire as to the factors which determine the positions of these mammas and nipples. Though such an inquiry must lead to small definite results it may not be unprofitable to point out some deductions \vhich may be made from the facts. I take this opportunity as a good one for illus- trating the position here adopted with respect to the theory of Reversion, and for discussing certain features of the phenomena of Division. The mammary glands form an example of a class of Meristic organs which are distributed in series along a body already seg- mented, but whose positions have no obvious coincidence with the fundamental segmentation. In the case of the pig, for instance, it would doubtless be found that the mammae bear more or less definite relations to particular vertebras, but they are not limited to such positions as the ribs or spinal nerves must be. The seg- mentation of the mammas is thus a segmentation, or serial arrange- ment, superadded upon that of the vertebrae. The question to be considered is, what determines the points at which mammas are to be formed ? In the paper to which reference has been made, WILLIAMS has contended for the view that each somite bore originally a pair of mammas ; and we may remark that if this were so the problem of the segmentation of the mammae would be the same as that of the 192 M KIM STIC VARIATION. [I'-VKT I. -e,,eral -.--mentation of the trunk. The same author then argues 'that th" appearance of supernumerary nipples or mamma' along tli.- mammary lines is a reversion to an ancestral condition, and a \ en, shewing the places at which mammae an- on this . believed to have been placed, definite ordinal numbers being raed to each. Against this suggestion may be urged those ob- LODS to appeals to the hypothesis of reversion which were men- 'tioned in th.- Introduction (Section XII.), but in addition to these there are a number of objections applying specially in the case of mammar) Variation. The view that supernumerary mamma' are rsions r>--ts on the frequency and deh'niteness with which they occupy certain positions. But 'though they do occur more often in -oiHe po-ition- than in others they are in no sense limited to the-,- position-, tor they may stand anywhere, at least upon the mammary lines. To justify the view that the positions of super- numerary mammae are definite it is necessary to exclude the cases ,,t hitid nipple, of multi])le nipples on the same breast, and of axil- lary i '\i. -n-ions of the mammie, all which phenomena would then he'look.-d "ii as belonging to a class different from that of actual supernumerary mammae. In the argument referred to, this course i- actually adopted. The acceptance of such a view leads to givat ditHculty.' Foi- example, in Neugebauer's case (see Fig. 2!)), William- consider- that the posterior nipples of the two sides be- lon- to different pairs, and have consequently different homologies, use they -tand at different levels. Sueh di-tincti<>n- are. 1 believe, unreal. It is surely impossible t<> suppo-e that the Repetition seen in the udders of the two cows in !•' I-: '.'•- i- a phenomenon different in the two cases. In the one there are two extra teats in symmetrical positions, equally spaced ..lit from the second teats; in the other there is a third teat on one -id.- and a double second or posterior teat on the other. Surely it j- dear that the double condition of this teat represents an im- p.-rfect pha-e ..f a process perfected on the other side. If further proof were needed it ma\ l>e found in the fact already mentioned, that th" mamma' of the pi;.; and other such animals, may be the -Hue in number .sen mi the two sides, but nevertheless stand quit" irregularly and without any \isih|e arrangement into pairs. The existence of these cases in which no order of form or regul- arity can lie traced may seem at first sight' 1o lie an insuperable olijeciion to any attempt at the detection of principles in the ar- rangemenl »f the mamma'. There is howeyer the fact that many, and indeed in most forms the majority of individuals do shew an orderly and paired arrangement, and the further fact that of those cases which depart from this, a certain number present appear- ances \\hich suggest that t his depart ure has conic about in a regular \\-.\y. Though the irregular cases remain, something would be •j. lined if \\e could comprehend any of the elements on which the ilarity depend-. The case "f regularity and symmetry, in a CHAP, viii.] MAMM.E : COMMENT. 1.93 sense, includes the cases of irregularity. The difficulty is to under- stand the causes of regularity and of symmetry ; but if we could be sure of these it would not be hard to concave disturbances result- ing in irregularity. In the pigs are found, first, cases of six on both sides in pairs, and also of seven on both sides in pairs ; besides these there were cases of G — 7 and of 7 — 8. Of these there were some in which two on one side stood in positions which geometrically balanced that of one of the other side, the others being arranged in pairs. In such cases the appearances suggest that there has been a division of one mamma to form two, and that the two have then separated or travelled apart. The division of organs into two is of course a common occurrence, and may naturally be supposed to be a pheno- menon of the same nature as the division of single cells. The case of mammae is perhaps instructive inasmuch as it bears witness to the fact that such division must take place at a remotely early period in development. For while in cases to be given hereafter of division, for example, between teeth, it may be supposed that the travelling apart of the two resulting teeth is mechanical, in the sense that the two growing teeth may simply push apart from each other just as two cartilage- cells, &c., may separate by the concen- tric deposition of material, the separation cannot be supposed to occur in the mamma? by these late changes, but the process of mechanical separation, though the same in kind as that in the case of teeth, must be conceived as beginning early in the history of segmentation. At this point a circumstance, very often to be seen in other cases, should be mentioned. When an organ, single on one side, corresponds geometrically with two organs on the other side, each of the latter is frequently of the same size and developed to a like extent as the single one of the other side. This of course would be expected on the hypothesis that the division of organs is a pheno- menon similar to the division of cells, that is to say, not merely a division, but a reproduction. But the supposition of division of single members of the series is not sufficient to account for all the facts of Variation seen. We have to consider not only the case in which one organ of one side balances two of the other. We have to deal also with the cases of six on each side and seven on each side all corresponding in pairs. In these there is no indication that there has been a division of a single member on each side. The spacing is regular in each case and there is no obvious crowding at any part of the series. Even if therefore in the former case there is a suggestion that the germs of single mammae have divided into two at a period of develop- ment after the series of mammae was constituted as a series, there is no such suggestion in the present case. We must, I think, in the latter suppose that the existences of all the mammae, whether B. 13 11)4 M ERISTIC VARIATION. [PART I. six ..r seven, are determined together. How or at what stage such <1. -t. •rtninatiou is made, there is no direct evidence to shew. The \ari.ius arrangements seen suggest then that the relative positions ormpied l>y the mamma? depend partly on the number ti,:,t are present, :unf thsit the position of each mamma is to some extent dependent on the position of other mamma?, especially of its rhbours In this connexion the cases F and L are interesting oni - Fii •" H. In L for example, the 1st on the left is at a higher |,-v.-l than th.- 1st on the right. It is succeeded by a rudimentary 2nd ha\mur none "ii the same level on the other side. The left :{rd is behind the right "2nd, but posterior to this point the nipples approximately paired. These appearances suggest that the dis- placement ofthelsl and .Srd on the left are in some way connected with the | '!• sence of the rudimentary left 2nd. Similarly in F the |, .ft :inl and ."ith are -paced out for the rudimentary 4th. From its position and Mnall size it might fairly be supposed that this is a •• stipernnmerarv "I'gan, for at all events it is visibly different from th,. others: l"it in the case of seven on each side in pairs, no one mamma rat ht-r than another can be pointed out as obviously -npernnmeiarv \\hrn compared with a similar series of six. It seems therefore that ..f the factors determining the relative posi- tion^ nf tin- maniina- :d<>ng the mammary lines, the number of the mamma- i- one, and that the positions of the mamma? are in some way and t<» a limited extent correlated with each other. That there :ir.' oth'-r factors at work, also, is sufficiently shown by the exist- ence of cases of apparently utter irregularity. In sec 'kin1.; t" go 1 H -y ond this and inquire as to the way in which this correlation i> brought about there is, in the present Mali- of kliovjed-e of tin- mechanics of Division, HOt lllUcll to be :i,-d. Keference may be madi- bo recent observations published in ali-tract 1,\ ( ). Si -iifi.TXK1. According to him there is in young embryo- of -, -\.-ral mammals (Pig 1'5 cm. long; Rabbit 13 — 14 dav>, iVc. ) a rid^'1 running along the dorso-latenil aspect on each -id'f and at points upon this the mamma' and nipples are even- tually fornu'd. (The formation of the true nipples is preceded by tin- raising of the epidermis into small elevations, "primitive beats," \\lii'-li afterwards disappear.) The two mammary lines are li\- -nli-i-i|iient rhaniM-s and growth of the body brought into the \entro-lati-ral position. The i|Urst ion of t lie ^»^\\ ion of the mamma' thei-etoi. resolves itself into this: what determines the positions at which mammary centres, to borrow the word used in the case of hone, are to lio formed on the inaininarv lilies? In a subse- quent place I shall contend tha» the tacts given are only intelli- gible on the \ie\v that the forces dctei-miuing the points of growth of mamma- an- compounded into one -y>tem of forces. But to the i|iie-iioii \\hat are these forces tin-re is no answer. 1 (). Srnri.T/1 . .lii-it. .!»;., Is'.cj, \n. j,. -jr,.",. since jniblished in full (1'crli. . :u n'-rJiur;!, xxvi. Is'.i^, p. 171. /'/.--.). CHAPTER IX. LINEAR SERIES — continued. TEETH. FROM the consideration of numerical Variation in mammae we may proceed to an examination of like phenomena in the case of the teeth of vertebrates. The modes of Variation in these organs are, as might be expected, in many ways similar, but several cir- cumstances combine to make the Variations of teeth more com- plicated than those of mammae. Teeth arise developmentally by special differentiation at points along the jaws, much as the mammae arise by differentiation at points along the mammary lines ; and as in the case of mammae, so in the case of teeth, we are concerned first with changes in the number of points at which such differentiation takes place, and next with the general changes or accommodations which occur in the series in association with numerical changes. As in mammae, so also in teeth, numerical Variation may occur sometimes by the division of a single member of the series into two, and sometimes by a reconstitution of at least a considerable part of the series. Between the case of mammae and that of teeth, there is how- ever an important point of distinction. The series of mammas is practically an uudifferentiated series. There is between mammas standing in one mammary line no obvious qualitative differentia- tion. Though not all identical in structure, the differences between them are of size and of quantity, not of form or quality. If such qualitative difference is present it must be trifling. In con- sidering Variation in mammae we have thus to deal only with changes in number, and with the geometrical and perhaps mecha- nical question of the relative positions of the mammae. The teeth of most Vertebrates, however, are differentiated to form a series of organs of differing forms and functions, and the study of Variation in teeth may thus be complicated by the occurrence of qualitative changes in addition to simply numerical ones. In teeth, in fact, there are not only Meristic variations, but Substantive variations 13—2 lf)<; MKIMSTK1 VARIATION. [PART I. also; and \}\ns, AS in the case of vertebra?, for instance, in any given example «)f a numerical change qualitative changes must be |. PI iked t< 'I' t/OO, A- a preliminary to the consideration of evidence relating to the Vaiiati.in «.f te.'th it may be useful to call attention to cert.-iin peculiarities of teeth considered as a Meristic Series. In the lntr."lucti"ii. S.-cti.in V, it was pointed out that in order to get auv conception of the Evolution of parts repeated in an animal, tli.'- ta.t of this II. -petition must be recognized, and it must be alwavs remembered that we are seeking for the mode in which not one part but a series of similar parts has been produced. The simple^ case to \\hi.-h this principle applies is that of organs paiivd about th.- middli- line, and in the steps by which such parts have taken .>n a gi\en f.-nn it is clear that similar variations must have ..ccurred .,11 the- two sides. In the absence of evidence it mi^ht I..- suppos.-d fit her that such variations had occurred little l.\ little on thf two sides independently, or on the other hand, that Variation had come in symmetrically and simultaneously on the t\\o sides. Upon the answer given to this question the success of all attempts t.. form a just estimate of the magnitude of the int.-gral steps of Variation depends. In many examples already gi\en it has now been -h.-wn that though in the case of paired organs Variation ma\ be a-ymmet rical, yet it is not rarely symmetrical, ami m part t In- quest ion has thus been answered. In the evidence that remains many more cases of such sym- metrical variations will be described, and it may be taken as e-tablished that \\lien the organs stand in bilateral symmetry, that i- t<- say, as images <,n eitlier side of a middle line, their Varia- tion ///'/// be similar and symmetrical. The teeth present this problem .if the Variation of parts stand- ing as images, in an unusual and peculiar way. For in the case of teeth we ha\e to consider not only the steps by which the right and left sides i,t' each jaw have maintained their similarity and symmetry, but in addition the further question as to the relation of the teeth in the upper jaw to tho-e in the lower jaw. There are many animals in which there is very great difference between the upper and lower rows of teeth, and it must of course be remembered that perhaps in no animal are the teeth in the upper jaw an exact cnp\ ..f those in the lower, but nevertheless there is often a substantial similarity between them, and in such cases we have to consider the In, ml er kinship bet \\een the upper and lo\\er teeth whereby they have become similar or remained so. F"i- 11 may b.- state.! at .nice that there is s..me evidence that the teeth iii the upper and lower jaws may vary similarly and shnul- taneoiisl\. though such cases are decidedly rare, especially in nuiiH-rieal \aiiati.m. and are much less c.iiiimon than symmetrical Variation . .n the two sides of the same jaw. CHAP. IX.] TEETH : PRELIMINARY. 197 In speaking of the relation of the series of the upper jaw to that of the lower jaw as one of images, it must be remembered that the expression is only very loosely applicable. In particular it should be noticed that though in so far as the lower teeth are a copy of the upper ones the resemblance is one of images, yet the teeth which resemble each other do not usually stand opposite to each other in the bite, but members of the upper series alternate with those of the lower. The incisors, as a rule, however, and the back teeth of a certain number of forms do bite opposite each other, and in them the relation of images is fairly close. The importance of the recognition of the relation of images as subsisting between the teeth of the upper and lower jaws will be seen when this case is compared with that of the two sides of the body. For ordinary bilateral symmetry is, as has already been suggested, an expression of the original equality and similarity of the two halves into which the ovum was divided by the first cleavage-plane, or by one of the cleavages shortly succeeding upon this. The fact that the two halves of the body are images of each other is thus both an evidence and a consequence of the fact that the forces dividing the ovum into two similar halves are equal and opposite to each other. The bilateral symmetry of Variation is thus only a special case of this principle. In view of the fact that the teeth in the upper and lower jaws may vary simultaneously and similarly, just as the two halves of the body may do, it seems likely that the division of the tissues to form the mouth-slit must be a process in this respect comparable with a cleavage along the future middle line of the body. It is difficult, however, to realize the actual occurrence of such a process of division in the case of the slit forming the original stomodoeum, and this difficulty is increased by the recent observations of SEDGWICK1 to the effect that in the Elasmobranchs examined by him the mouth-slit first appears as a longitudinal row of pores. If this is so the relation of images must exist in the case of the mouth, not only in respect of the two sides of the slit, but also in respect of the anterior and posterior extensions of the slit. But whatever may be the processes by which the tissues bounding the mouth of a vertebrate come apart from each other,the result is clearly in many cases to produce an anterior series of organs in the upper jaw, related to a posterior series of organs in the lower jaw, much in the same way that the right side of a jaw is related to the left of the same jaw. This relation may appear as has been stated, not only in the normal resemblances between the upper and lower teeth, but also in the fact that similar and simultaneous Variation is possible to them. In another respect the Repetition of teeth may differ from that of other Linear Series already considered. In many animals, the 1 SEDGWICK, A., Quart. Jour. Jlicr. Sci., 1892, p. 570. 198 M ERISTIC VARIATION. [PART I. Pike, the Alligator, or the Toothed Whales, for example, the teeth • I in ,i P -pillar and usually continuous series, differing from • ad, other chiefly in size, ranging from small teeth in from, through large teeth, and often down to small teeth again ai the 1 a.-k '• .f t h.- jaw. Such a 'homodont' series as a rule passes through ,,nlv one ni'axinium. Most mammals, however, are 'heterodont,' iha't LB to say, the teeth can be distinguished into at least two groups, ih' incisors and canines on the one hand, and the pre- molarfi and molars on the other; and in a large number of animal- having tin- arrangement the anterior members of the series ot premolars and molars are small, increasing regularly in size from before l.a«-k\\ards, reaching a maximum usually in some tooth anterior to th.- last. Though instances will be given of Variation, and especially "f reduplication, occurring in most of the teeth, even in those which stand well in the middle of the series of back- •h. auch as tin upper carnassials of the Cat, or the fourth pre- molai-; of ill, Seal, ye\ on the whole Variation in heterodont forms i-, more common at tin- anterior and posterior ends of the series of back -teeth. In view of this fact it is of some importance to recognize that th<- -mall members at the beginning of the pre- molai- series are as n -gards their relatively small size, in the con- dition of terminal memb.-rs of series, and exhibit the variability of ti -rniinal memb.-ix almost as much as the last molars. With these n-niarks by way of preface, evidence as to the num. -i-ical \'ariatiou of teeth in certain groups will be given in full. Thi- account will lor the most part be confined to a brief description of the conditions piv-mted by the specimens. In the next chapter the principles which may be perceived to underlie these facts and the general conclusions to which they appear to lead will be -••parately discussed. The evidence here given relates to certain selected groups1 of Mammal-, ami chiefly to the lYimate-, (excepting Lemuroidea), Car- nivora i( 'anida-, Felida-, Yiverrida-, Mustelidae and Pinnipediae), and Marsupialia I 1'halangerida', 1 )a>yiirida-t I)idelphyidai, part of Macro- podida-. >Vc.). The tacts to be given relate chiefly to increase in number of teeth. In the case of terminal members of series, such as the moM anterior pivmolar or the last molar, some reliable facts as to i-asi - of alr-^nce \\.-re found, but )oi- the most part the evidence as to the absence of teeth is ambiguous and each case requires -••parate treatment. The e\idence is in this chapter arranged according to the 1 K\id. ];'•,• as to tin- ilriitul variations of .Man is not hnv introduced. Con- iiilili- o>lliTti«>ns ft' siK'li diets have li.'cii niailf liy MAUITOT (Amnii. 'Ht. Mi-iint.1. f. /.ahull. I.VMI. i\.i, and others, and illustrative re i" !••• found in most ninsriim-. I do not know that among these liiimiin variations air indinl. .1 piniiomeua dil'tVi.'iit in kind from those seen in otliiT K-roii]' . : I'.ilia]- i-.'i-tain eas.-s oi t«-rth nnit.'l i ., , ther, a condition rarely if I-VLT recorded in other animals. CHAP. IX.] TEETH ! PRELIMINARY. 199 zoological position of the groups concerned. In several cases variations of similar nature were seen in different groups ; cases of this kind will be brought into association in the next chapter. As regards nomenclature I have in the main followed the common English system, numbering both the premolars and molars from in front backwards. In one respect I have departed from the practice now much followed. It has seemed on the whole better that the premolar which in any given jaw stands first, should be called p1, even though in certain cases there may be reasons for doubting whether it is the true homologue of the jj1 of other cases1. Theoretical views of this kind can only at best be used as a substitute for the obvious nomenclature in a few re- stricted cases, such as that of the Cat, in which by the application of the methods of reasoning ordinarily adopted in Comparative Anatomy the first upper premolar would be looked on as the equivalent of F2 in the Dog. There are, however, few who would feel confident in extending this reasoning to many other cases, that of Man, for instance, and I believe it is on the whole simpler to number the teeth according to their visible and actual relations. As I have already attempted to shew in another place2, in the light of the facts of A^ariation, it is to be doubted whether in their varia- tions teeth do follow those strict rules of individual homology by which naturalists have sought to relate the arrangements in dif- ferent types with each other. The material examined has consisted chiefly of specimens in the British Museum and the Museums of the College of Surgeons, Leyden, Oxford and Cambridge, the Paris Museum of Natural History, and some smaller collections. I have to thank the authorities of these several museums for the great kindness I have received from them; and in particular I must express my indebtedness to Mr Oldfield Thomas, of the British Museum, for the constant help and advice which he has given me, both as regards the subject of teeth generally and especially in examining the specimens in the British Museum3. PRIMATES. SIMIID^E. The Anthropoid Apes (Orang, Chimpanzee, and Gorilla). *165. The teeth of the three large Anthropoids are perhaps more variable, both in number and position, than those of any other 1 In cases where confusion might arise any change from common nomenclature is notified in the text. - Proc. Zool. Soc., 1892, p. 102. :1 In the following descriptions B.M. stands for British Museum; C.S.M. for Museum of the Eoyal College of Surgeons; C.M., O.M., U.C.M., Leyd. M., P.M., for the Cambridge, Oxford, University College London, Leyden and Paris Museums respectively. 200 MKKLSTIC VARIATION. [PART I. group of mammals of which I have been able to examine a con- siderable numb. T. lii different collections 14'2 normal adult skulls were BCCE and 12 cases of extra teeth. Of these one was a case of extra inei-or (dorilla, No. 186), one of anomalous teeth (Gorilla, \.< I ^7 i. ami the remainder molars. Thus far therefore there are 1 1. -aily s per i -i nt. cases of extra teeth. This figure is remarkable in roinpari-on with the rarity of such cases in nyldbates (51 skulls ii. all normal), and the like rarity in other Old World monkey- > li'.'i normal- ami "1 cases of extra teeth). Simla satyrus (Orang-utan). \"iinal adult skulls seen, 5'2. wnumerary molars. l»iii. Adult mall- having additional posterior molar (m4) behind and in series \\ith the normal teeth, on both sides in upper jaws and on left -id.- iii lower jaw. In each case the m* is rather smaller than in . hut all are well formed, having each four cusps and the normal • •"iiijil. nifiit of l'aii;4-, viz., one in front and one behind in the |.I\\,T jaw. ami two mi outer and one on inner side in upper jaw. < in ri_dit .»ide of lower jaw there is no trace of additional molar, thoii-h there is almost as much room for it as on the left side. < '. M.. I h;u. It. described by HUMPHRY, G. M., Jour. Anat. P1,y I'l MI-. \\ .. Sitzungsb. n. U. C. M., I-. 253. 171. Specimen having supernumerary molar on each side in lower jaw. M\M:K. Arch./. A'./////-:/.. ls(:', 1. \v. p. 356. 172. Similar case. FiT/iNcr.K, Sitzungsb. tn-if/i.—nnt. CL Ak. Wien, 1853, i. ]. i:;6. similar case. I'.in in.. /.,>,• Kenntniss •>• - n,-f^, ^ied l.y FIT/.INCI.I;. \ S|,eeinien "remarkable t'..i- absence of tin- upper right third m. ilar and f.,r absence "f na-al bones, \\hich are gn-atly reduced in some other specimens." C. S. M.. 44. See Catalogue Mus. Coll. >'»/•//. l.s.s^ Tlie ,,tlier teeth aiv all normal and fully formed. Variations in position »/tr,-flt. Th..ugh not directly pertaining to the sul.jeet her,- e,,|lHdered. the following examples'of consider- CHAP, ix.] TEETH ! ORAXG. 201 able departure from the normal arrangement may be perhaps usefully introduced in illustration of the peculiar variability of the dentition of the group. *174. A skull from Borneo in the Oxford University Museum (num- bered 2043 o) has the following extraordinary arrangement. All the teeth are normal and in place except the second premolar of each side in the upper jaw. On both sides there is a large diastema between pl and «^. The diastema on the left side is of about the same size as the normal second premolar, but that on the right side is considerably too small for a normal tooth. The singularity of this specimen lies in the fact that the missing tooth of the right side is present in the skull, but instead of being in its proper place it stands up from the roof of the mouth within the arcade immediately in front of the right canine and almost exactly on the level of the second incisor, being in the premaxilla, at some distance in front of the maxillary suture. That this tooth is actually the second premolar which has by some means been shifted into this position there can be no doubt whatever. It has the exact form of the normal second premolar, and is of full size. It stands nearly vertically but is a little inclined towards the outside. The canine is by the growth of this tooth slightly separated from the second incisor, and the first premolar is consequently pushed also somewhat further back. Hence it happens that the diastema for the second premolar on the right side is not of full size. This should be understood, as it might otherwise be imagined that the contraction was due to a complementary increase in the size of the other teeth, of which there is no evidence. On the left side of the palate there was a very slight ele- vation at a point homologous and symmetrical with that at which the second premolar of the right side was placed. As it seemed possible that the missing tooth of the left side might be concealed beneath this elevation, a small piece of bone was here cut away, with the result that a tooth of about the same size and formation as Fj was found imbedded in the bone. In this case therefore the second premolar of the right side and of the left side have travelled away from their proper positions and taken up new and symmetrical positions in the palate, anterior to the canines. The facts of this case go to shew that the germ of a tooth contains within itself all the elements necessary to its development into its own true form, provided of course that nutrition is unrestricted. This might no doubt be reasonably expected ; but since the forms of organs and of teeth in particular are by some attributed to the mechanical effects of growth under mutual pressure, it may be well to call special attention to this case, which goes far to disprove such a view. 175. Specimen having the teeth of the two sides in the lower jaw in extraordinarily asymmetrical disposition. The bone of the jaw does 202 \n:i;i-i i« VARIATION. [PART i. i,.,r m t.» have been broken, but there appears to have been disease of tin- .-irii. -illations of the mandibles. 15. -M., *G, 12, 20, 10. 17 Sj-.-.-inii-M in which "position of the left upper canine is abnormal. IT i- displaced l..i.-k wards and lies to the outer side of the tirst premoln. wlii.-Ii it ha- j.u.-du'd towards the middle line." C. S. M.. 41 (see < '.it, if.. If,,, |. 177. < -i whi.-h upper right canine occupies a position within and on a level with the tirst premolar, which is pushed outwards. C. S. M., . .1. Troglodytes niger, calvus, £c. (Chimpanzee). \ nn;il adult skulls seen, 35. > y.. rnunu /••'/•// molnrs. »178 Specimen having on right side in upper jaw a very small square tool h behind /// ', in the arcade (Fig. 35) ; and in the left upper I l'i',. '.'•'>. I'.'-t. ii<>r iu'ht upper molars of Chirnpauzee. I. The ear-r No. 17^ (<:,ll. S,ir:i. Mug., No. 1). II. A n«inn;il CuiiH]' mx.ee of approximately the same size. jaw .-in .-mpty aUvolus in the similar plact-, shewing clearly that -imilar tu..th lias lic.'ii j.iv-,-nt : lower jaw iiurmal. C. S. M., 1. 17 ' Sp.-cinn-ii in which ti-fth all ;_;<>nc', but alveoli exist behind th'isi- i.f tin- normal ti-rth on both sides in upper jaw, and there is little doubt that there was here a fourth molar on each side. C. S. M.. !). S|ieeiiiien in \\liieh teeth all goiii-, luit alveoli shew clearly that theiv was a toiirtli upper molar on right side; evidence on left side inconclusive : lower jaw gone. <\ S. M.. 12. Specimen ,,\' '/'. calvus having an extra ,7"' in lower jaw on right side. Tins to..th is about one ijuarter of' the size of m?, ie-,-mb|iiIL>r that in case No. 17s. Thi^ -pecimen is in the private collection . .(' I'IM)'. MILM: KDWAKDS, who was so kind as to shew it to mi- Gorilla savagei i < i-rilla). Normal a«!ult -kull- seen, "'•"'. CHAP. IX.] TEETH : GORILLA. 203 Supernumerary molars. *182. Specimen having m* behind and in series with the others on both sides in lower jaw and on right side in upper jaw. On left side both teeth are square and somewhat worn, but the right m* is a curious conical tooth. Gallery of P. M., A, 505, described by GERVAIS, P., Journ. de ZooL, in. p. 164. PL 183. Two cases of four molars in each upper jaw. MAGITOT, Anom. du *yst. <:lent., p. 100, PL v. tig. 8. [Of these one is in collection of Dr Auzoux; the other is No. 121 in P. M., but as I did not see it when examining the collection it is not reckoned in the statistics given above.] Similar case, HENSEL, Morph. Jahrb., v. p. 543. 184. Specimen having supernumerary molar which had not quite pierced bone [no statement as to position]. WYMAN, JEFFRIES, Proc. Boston T. //. £., v. p. 160. 185. Specimen having extra molar in crypt on each side in upper jaw behind w». L. M., 3. Supernumerary incisor. *186. Fully adult male from Congo having an extra incisor in lower jaw. There are thus five incisors in lower jaw (Fig. 36), of which FIG. 36. Lower incisors and canines of Gorilla No. 186. x, y and z are three central incisors. The upper figure shews the tooth y as seen from the side. (Specimen in Coll. Sunj. Mas., 21, A.) one, presumably the supernumerary, stands almost exactly in the middle line. This tooth is turned half round, so that the plane of its chisel stands obliquely. The teeth are all well formed and none belong to the milk -dentition, for the milk-teeth are much smaller and of different form. I did not succeed in satisfying myself that the central tooth is certainly the super- numerary. The second incisors are in place on each side and are quite distinct, and the right first incisor is similarly normal. L'04 MKKISTIC VARIATION. [PART I. lint whether the nbliijuu tooth, or the tooth between it and tin- ri^ht /', should I).- rather consiflered supernumerary cannot be deel.uvd \vith certainty. Probably this is one of the cases, of \\hieh more will be said hereafter, in which both teeth replace the normally single il. C. S. M. 21, A. txtru ti'ftli. A lower jaw in the Museum of the Odontological . ty "hav in;.- two supernumerary teeth embedded in the bone beneath the coro- ; -moid IK. tdi. Originally only a small nodule of enamel was • le nn tli.. inner surface nf the right ascending ramus, just external to the upper extremity of tlif inf.-ri.ir dental canal. On cutting away the bone this nodule was fiMiii'l i» }»• a portion of a supernumerary tooth having a conical crown and a •le taper. Lying above it, another supernumerary tooth was discovered, of which there had previously been no sign whatever. This was likewise exposed i«y removing the superjarent bone, and found to be a larger tooth with a conical .11 iiii'l three Ion;,- narrow roots. The teeth were lying parallel to each other, with their crown- pointing upwards and backwards, so that they could hardly under uny ( in iuii-[:tiK e- h;i\r been erupted in the alveolar arch." Trans. Odont. Soc., L887, nx. p. •-'••.»;. ;ig. Sp. einien having fragment of a tooth imbedded in bone between left lower canine and p1; perhaps a fragment of a milk-tooth P.M., A, 500. [Two specimen-; in the stores of the P.M. shew great irregularities in the arrangement of the teeth; but in both cases so many teeth had been lost during life that u satisfactory description of the abnormalities cannot now be given.] Hylobates (Cibbons). Normal specimens seen, 51. No abnormal case known to me. OLD \Ynuu> MONKKVS other than Anthropoid Apes. Of tin- in 'in T;I tii'iiiitujn'tJieciis, Colobus, Nasalis, Cercopithecus, Oercocebus, Mm-ur,/* arid Cynocephalus ; 41!) normal specimens examined. Only two had definite supernumerary teeth, but in one «>ther case it was possible that extra molars had been present. N >/<•/•/< unwary molars. Cynocephalus porcarius, having large extra molar behind and in series in each upper jaw. The two teeth are of the same pattern precisely. In lower jaw there is on each side a large behind /// ', but there is no tooth in it. O. M., 2011, b. 1!M). Macacus rhesus, old male, having a fourth molar in place in ri^ht luin-r jaw. The tooth does not stand up fully from the bone. On the same side in the iij>/n'r jaw there is also a fourth molar, but was entirely enclosed in bone and was only found by eiittinir a\\av the side of the maxilla bv way of exploration. B.M., 30, c. 191. Macacus radlatus, basing small and fairly definite depression behind >»:t in • aeli jaw. These depressions seem to tie peihaps the alveoli of teeth but it cannot be p" iti'.eU atated that extra molars have been present. C.S.M., 145. I|i2. .tl-iinriiiiil (irr,n\,-himl the upper ones, bee Cut. Jl/«x. Coll. S CHAP, ix.] TEETH : ATELES. 205 NEW WORLD MONKEYS. *193. In the species of Cebidre and especially in Ateles supernumerary teeth are rather common, eight cases being found in 28-t skulls, or nearly 3 per cent, (in addition to cases recorded by others). Of American monkeys belonging to other genera 92 skulls were seen, all being normal. Some cases of absence of the third molar were seen in Ateles, which are interesting in connexion with the fact that there are normally only two molars in Hapalidse. CEBID.E : normal formula i\, c {, p f , m f . Chrysothrix, normal adults, 5. Cebus, normal adults belonging to about ten species, 66. Supernumerary molars. 194. Cebus robustus : supernumerary molar in each upper jaw giving p f , m f ; DE BLAINVILLE, Laurent's Annal. d'Anat. etPhys., 1837, i. p. 300, PL VIIL fig. 6. 19*5. c. variegatus : small tubercular molar in right lower jaw behind ^. The extra tooth is cylindrical and peg-like, having about ^th the diameter m?. Leyd. Mus. 8, Cat. 11. Ateles : normal adult skulls, belonging to several species, 60. Supernumerary molars. *196. A. pentadactylus : extra molar in series behind m3 in both upper and lower jaws on right side, in each case a small round tooth. P. M., A, 1505. This specimen described by DE BLAINVILLE Laurent's Ann. d'Anat. et Phys., 1837, I. p. 300, PI. VIIL fig. 5 ; mentioned also by GEOFFROY ST HILAIRE, Anom. d' Organ., i. p. 660. 197. A. vellerosus : extra molar on left side in lower jaw behind m?, as a fully-formed and well-shaped tooth, but not so large as m3. B. M., 89. 12. 7. 1. 198. Ateles sp. : extra molar on left side in lower jaw. MAGITOT, Anom. du syst. dent., p. 101, No. 6. Supern umerary premolars. *199. Brachyteles hemidactylus [a genus doubtfully distinct from Ateles] : specimen from S. America having 1. upper series and all lower series normal. In place of right upper p1 are two teeth (Fig. 37). These two teeth are similar to each other and for want of space they bulge a little out of the arcade. Each is in size and shape very like normal p^, having a sharp cusp and a flat internal part to the crown. Both teeth are slightly rotated in opposite directions, so that the cusp of the anterior is antero- •JOG .MK1M-T1C VARIATION. [PAKT I. lau-r:d in-t.-ail of lateral, while the cusp of the posterior is I i . H7. Surface view of upper jaw of Brachyteles liemidactylm, described in N.p. I'.t'.i. From skull in lirit. .!/«»•., 42, a. latrral. Tln'M- two teeth stand thus in somewhat complementary positions. 15. M., 42, a. *200. Ateles marginatus : wild specimen from river Cupai, has ^ ^ 3 3 .. :H. Surface view of uppi-r teeth of .-!/,•/,.< iii tori'tliir. The specimen is in lirit l///- 1-J1I. /,. CHAP, ix.] TEETH : ATELES. 207 that is to say, an extra premolar on each side in the upper jaw, the lower jaw being normal. The four upper premolars are perfectly formed, large teeth, in regular series on both sides. As a conse- quence the lower canines bite on and partly beJiind the upper canines. There was nothing to suggest that any one of these teeth was supernumerary, rather than another (Fig. 38). B. M., 1.214, b. Supernumerary incisor, 201. Ateles ater : specimen from Peruvian Amazon : in right upper jaw there is a large alveolus for i-, which is gone, while a third incisor stands between this and the canine. This third incisor bites on lower canine, and lower pl of the same side bites in front of the upper canine. B. M., 1108, d. 202. Ateles paniscus : extra incisor in upper jaw. RUDOLPHI, Anat.-phys. Abh., 1802, p. 145. Absence of molars (cp. No. 209). Inasmuch as^jf, m\ is the normal formula for the Hapalidae, the following cases of absence of m3 in Ateles are interesting. There was in no case any doubt that the skulls wrere fully adult, and there was no suggestion that the absent tooth had been lost. *203. Ateles marginatus : specimen from the Zoological Society's menagerie, bones rough and unhealthy-looking, but skull well formed and certainly not very young, has no ms in either jaw, giving 3 3 2 2 the formula p — - , m-= — - , as in Hapalidae. There is no space in the jaw behind in-, and in the upper jaw the bone ends there almost abruptly. 204. A. melanochir : Caraccas specimen, having no posterior in3 on either side in upper jaw. The lower series normal, but the jaws are somewhat asymmetrical, so that the lower posterior right ms is behind the level of its fellow of the other side. B. M., 48. 10. 26. 3. 205. A. variegatus : wild specimen, having lower m3 absent on both sides. Left ^ is also absent, but has been almost certainly present. C. M., 1098, B. Mycetes : of various species, adult normals, 81. Supernumerary molar. 206. M. niger : supernumerary molar in the right upper jaw. The arrangement is peculiar. So far as m- the teeth are normal. Behind and in series with m- there is a large tooth, a good deal larger than the normal m3, and having rather the form of in- than of m3. Its form is, however, not precisely that of m", for the middle or fifth cusp is rather anterior to the centre of the tooth, MERISTH VARIATION. [PART i. in-t-ad . .f l.i-iii^ posterior to it as u.sual. Outside this tooth i> iii-tli- i -tan. ling out of the arcade, having the size and almost the Mm -I normal m3. I!. M.. 740, c. (Fig. 39). Th may be an example of one of two principles which will 1,.- in The next chapter pointed out as operating in the case lM)7 •2o:i. I' i'.. .;'.'. ."'/;/<• '••<* niijer, No. 200; right upper molars. Lrit. Mus., 749, c. • •I dfiiial \'ariatiid>' may represent an addition to the normal series, and in that <-a<>- the tooth standing as //<:i in the series may be a I* I'p sentation «\' m\ raised to the normally higher condition of m- in correlation \\iih th<- presence of an extra tooth in the series, in rln- \\ay -ln-\\n to occur in other cases (see Chapter x., Section 7). ll.-t \\i-i-n tin — ' ali«-niativc JM i>sibilities I cannot decide. Urf/ j >/•!_' Ill n/< I r. Mycetcs niger : In-tv.i-ui an.l iuti rnal to /^ and i^ on left side there is a .M>l;u . Tin> i- 1'inl.ahiv ;i -ui'i niuini i:iry «an', but the jaw is so much diseased that tin- n-l.r . n,,t .(istinct. 1J. M., 74'.'. ,,th may IUIM- >tuod lutwci-u thum, but this is quite uncertain). Nyctipithecus : 1 1 Pithecia : 1 1 normal >|'i-c-iinriL lia\ iir_f M. . * * V aboul to hr formed, for tin- dentition is otherwise complete. C. M.. Cp. No. I'M-.'.) '»_', ami ai.parriitly this tooth was not 1094, a. (Cp. X<.. 202.) Lagothrix, 6, Chiropotes, 1. Ouakaria, 3 normals respectively. II \i'\i. H' r.. In this 1,'nnip „/•' is normally absent: and no simen lia\im: tlii- t..otli or any other dental abnormality was seen. wt-iv seenj 1'i'lon-in^ to various species. < 'f .-nlult iKii-nial -kulK CHAP. IX.] TEETH : CANUTE. '209 CARNIVORA. CANID.E. The evidence of the Variation of teeth in Canid;i' is divided into three groups according as it concerns (1) incisors, (2) pre- rnolars, (3) molars. No case specially relating to the canines is known. In each of these groups the cases relating to (A) wild Canida? are taken first, and those relating to (B) domestic Dogs afterwards. Of wild specimens of the genus Canis (including the Fox) 289 skulls were seen, and amongst them were 11 cases of super- numerary teeth, about 3'5 per cent, (besides many recorded cases). Of 216 domestic Dogs (including Pariahs, Esquimaux, &c.) 10 had supernumerary teeth, or 7'4 per cent, (besides many re- corded cases). I have not included skulls of edentulous breeds, in which the original condition of the teeth cannot be told with certainty. Statistics of the occurrence of supernumerary teeth are given by HEXSKL, Morpli. Jahrb., 1879. Among 345 domestic Dogs in his collection there are 28 cases of one or more extra molars, 12 cases of extra premolar, and 5 cases of extra incisor. [If therefore no two of these cases refer to the same skull, there were in all 45 cases of extra teeth in 345 skulls, or 13 per cent. It is not stated that the collection was not strictly promiscuous, but it may be anticipated that this figure is rather high.] An analysis of Hensel's cases will be given in the sections relating to the particular teeth. The usual dentition of the genus Canis is t|, c\, p^, m'^. The Wild Dog of Sumatra, Java and India, C. javanicus and C. primcevus (by some considered as one species) have wf and have been set apart as a genus under the name Oaon (HODGSON, Calcutta Jour. N.H., 1842, ii. p. 205). The genus Icticyon differs in having normally w|. The genus Otocyon on the contrary has usually m%. Of the variations to be described in Canis the most notable are (1) cases of iizi ; (2) cases of extra premolar, common in upper, very rare in lower jaws ; (3) cases of ^3 or ~m±, and one case of m% giving the formula characteristic of Otocyon. In several instances a con- siderable increase in the size of '»^ or m? is found associated with the presence of ^ or m* respectively. An interesting group of cases of extra molars was found in C. cancrivorus, in which this abnormality seems to be common. The frequent absence of pl in the Esquimaux dogs is worth notice. Absence of ^ is common in Dogs, but absence of m?_ is rare. In Otocyon one case of m± is recorded, and in Icticyon one example has wif instead of m^. B. 14 I'll) MKK1STIC VARIATION. [I-AKT I. I Variation in I -»rs and Canines. A. Wn.i. < '\NIIU. No ' ise of extra incisor known t<- me. I 'wo cases of absent incisor, viz. '2 In [Canis] Vulpes pennsylvanica, IJiit. Columbia, having •{_ • ' '0 : apparently f1 has not been present on either side. B. M., I K):i. b. 21 1 Canis vulpes: »nlv •"> incisors in lower jaw, with no trace 'of al\.-oln> t'..r the sixth. SCHAFF, E., Zunl. Gart., 1887, xxvm P. 27". I-i. DOGS. 212 Dog i r. -milling Bloodhound) : four incisors on each side in upper jaw. Tli.- .-\ternals, i3, normal, but no evidence as to which of ih' "tluT teeth supernumerary. Leyden Mus. 2lo. Thibetan Mastiff, Nepal: sockets for four teeth on each side in pmx. Teeth ,-,11 Li'"iie. Alveoli of two sides nearly symmetrical. In absence • •»' the t.-,-tli it cannot be positively stated that this is not a case ..I persistent milk t.-.-tk but this seemed unlikely. L>. M., 166, //. -I I- Mastiff: fmir ti-t-th on eacli side in front of canines; from form of teeth probably case of persistent milk-canines. Lower jaw gone. O. .M.. 171'.'. '1 1 5. Dog : on ri-lit. sockets for three teeth in addition to >'[ which is in ]>l;i«,7.-'/.x nil. smaller titan the normal ones, and socket t"i n|.|M-r ii-lit c;iiii;ic .-ilsci slightly reduced in size. Odont. Sac. J ///.•••. 21(i. Dog: .-in.-ill -kull in my ]"•-., -.ion, has in ]>lace of right ':; ln-<, nli; nil, /„,/// /// //,. sown level, «li\iili-d li\- a thin bony septum, the one internal t.. tin- ntlirr: left ^ is in place and normal: lower jaw gone. 217. Ann.ii'j :U"> Dogs' skulls tour had extra upper incisor on one -ide, and om- >knl| ha.l p.-rt'.-ct ly tormeil fourth upper incisor "ii li'it/i . 'I'liis lootli smaller than third incisor. HEXSEL, ('. •"•'!!-. S '-I'al eases of 7 or S ineisol's in U])per jaw, teelh In-ill- ii-uallv a>\ nunetrieal. Nl-:il HINC. N/V;A. inif. /•'/'. Bed., 1S>>2 I1- ' In lower jaw sudi cases inueh rarer. Superman, lower in- cisor on Hi,,- >ide. one ea-e [ .' in (i.')0 skulls], N KH it I NG, ibid. ; also Dog (chien chinois-japonais), 4 im-isors in each lowi-r jaw. M.\«;rn >'i. J - >/. dent., \>. M. ( 'ase of' ,//'n'(/«! incisor. Bulldog: li-lit | with very wide crown ; main cusp partially bitid as if Intermediate betueen single and double condition, Morph. /.nl>. ( Cambridge. Siiinhu <-!i-.- kinilly si-nt t« inr liy l'i,,f. (,. I',. CHAP. IX.] TEETH : CANID^E. I'll 3 — 3 220. Absence of incisor is very rare in Dog. One case of i- given by -> — ~i HEXSEL, I c. p. 534. (Hensel observes that this gives the formula for incisors of Enliydris [Lata.f] ; he also calls attention to rig. of Enhydris with three lower iurixn,-* in O\VEN, Odontoyr., PL 128, fig. 12, but as this is not mentioned as an anomaly in text, it is very doubtful.) 221. Dog having the upper canine imperfectly divided into two on each side as shewn in Fig. 39. The plane of division was at right FIG. 39. Right and left profiles of Dog having the canines partially divided. angles to the line of the alveolus so that the two parts of each canine stood in the plane of the series of teeth. The division was more complete on the right side than on the left. The lower canines were normal. This specimen was kindly sent to me by Mr J. Harrison. II. Variation in Premolars. Several distinct variations were found in the premolars of Gamete. A number of cases shew five upper premolars instead of four, and the question then arises whether the extra tooth is due to the division of a single tooth, or to reconstitution of the series1. The occurrence of a fifth premolar in the lower jaw is much rarer, only three or four cases (Wolf (2) and Greyhound (? 2)) being known to me. The following other forms of Variation oc- curred. In C. mesomelas, No. 228, an extra tooth stood internal to pj, and was perhaps a duplicate of this tooth. One case of bifid X was seen, and two cases in which p2 had apparently divided to form two single-rooted teeth (C. viverrinus, No. 227 and a Sledge-dog, No. 237). A few examples of absence of pl deserve notice. Lastly, though really an example of Substantive Variation, I have included a curious case of possibly Homoeotic variation of p^ into the partial likeness of the carnassial (No. 245). 1 On this point see Chapter x. Sections 3 and 5. 14—2 M I.I ; I -TIC V ABLATION. [PART i. •j - -_> 224. •j -j , L'_l Increase in number of Premolars. A. WILD CAXID.E. C. dingo : specimen having two closely similar teeth between j>- li.' ..mine in each upper jaw1. Both the teeth had the form and size of ' ]'r.-mi>lar. This not a case of persistent milk-tooth, NEHKINC. A , Sitzb. naturf. Fr. Verlin, 1882, p. 6G. C. dingo : on right side /^ is in place, and there is an alveolus for • ml tooth of about same size. On left side p^ is rather small. L. M. C. lateralis, Gaboon. On 1. side g_ is single, but on rt. side ill. r.- are two almost identical teeth between P^_ and the canine: ,.t' th. — • the most anterior is level with, but slightly smaller than, I,. it /•'. (Fi- 40) K .M.. 1089, «. (See MIVART, P. Z. S., 1890, p. 377.) •j J '. • I in. i 'anil l'it, /•.(//>. No. •!•> \. View of canines and front premolars of tbt- ni>|.i-r ju\v. ;-: of th. 1, ft aide i- in -ymmetry with two teeth on the right side. C. vulpes : in 1 (•_' skulls, one ••use of two teeth between;/ and .-.mm.' (SC ti\r piv]niil;irsi in left uppei- jaw. HEXSKL, I.e., p. •~>1O\ITX, Sil-Ji. nntm-f. /•'/•. Jierl., 18G9, p. 41. /tiri.^l,,,, .-/'/• C. viverrinus : left /•'-' re]ne-. nte.l by t\v.» teeth, each having one I'm it. Of the-e the anterior is tubercular, while the posterioi- is rather IOULT from lirf'ore b;iek\v;mls. Anterior premolars normal. L. M. (Compare Sledge-dog, No. •_'."> 7.) /,'. i/iijJirnti,,,, ,,/' j, . C. mesomelas : ///*/,/, ri^'ht ujt]ier />•' is a supernumerary tooth ulii.-h nearly re»..]id.le> /. . but is a little smaller; lower jaw normal. C. 8. M.. 643. (See Nos. I'-'f. and 247.) C. lupus: in aiMition to inr:/ul:iritic< in jiusitinn of tr. th. tliere is a ilonlitfu! DCeafl of an iilv.M.lus iii -..!•• 1. ft /-: \\lii.-li is di- placed outwards. C. S. M., rr_M. MIVMIT, /..-., liy inistak. i|u..:. -,• as one of extra teeth above and below. CHAP. IX.] TEETH : CAXIDyE. 213 Partially bifid premolar. 230. C. VUlpes : riglit i>\ has three roots and a partially double crown with two cusps (Fig. 41). The whole crown is pyramidal, the labial face being parallel to the arcade and the three roots stand each at one angle of the base : left 1^ normal; lower jaw missing. B. M., 175, o. FIG. 41. Teeth of Fox (C. rulpes) described in No. 230. The separate view shews the right first premolar removed, seen from the labial side. Extra premolar in lower jaw. 231. C. lupus : two teeth between p* and canine in lower jaw on ri *~~~-. , all the normal teeth being in place, of proper form and size, standing evenly without crowding. O. .M.. 17- SO. •23 j. Dogs. h» 345 skulls were 1 1 cases of supernumerary premolar in tin- uj'i'f r jaw, viz. on both sides, 1 case, on right side, 7 cases, on left side, 3 cases. These were all cases described by HEXSEL as instances of the presence ..f ••;/" of his notation, i.e. a tooth between pl and canine. HEXSEL, J/../7>/i. Jahrb., 1879, v. p. 546. Out of 650 skulls, including Hansel's :'. l.'i, IS had two anterior premolars as described, on both sides in upper jaw. XKHUIXG, Xitzb. natnrf. Fr. JJerL, 1^82, p. 66. English Spaniel : oittxidf and anterior to right P_l is a worn stump, probably of au extra tooth (?). B. M., 166, j. •J.'il!. Deerhound : tiro alveoli where ,7i should be; probably two distinct teeth stood h.'iv. inn it i< i">--il>le that the two alveoli were for distinct roots of a single tooth. c. M., '.''.'i. n. Division of p*. -:>~ Sledge-dog, ( Ireenlaud : all teeth normal except left upper //-'. This tooth normally of course has two roots. Here it is r.-pr.-.-iit.-d by two distinct teeth, each having one root. The anterior ha- a fairly sharp cusp, but the posterior has a rounded emu ii. Tin- teeth are in perfectly good condition and do not look worn. The\- aiv separated from each other by a considerable diastema. It apiH'ar- d^ai- that insti-ad «>f the normal p*, two distim-t ircth have ln-cii t'ui'ined. 0. M., 1787 (compare C. viverrinus, No. i'^7 . Absence of /V^-///., /. I'.ni, STote. C. occidentalis : ,, absent on both sides. C. .S. ^1., G29. C. vulpes: in ML' skulls: /•' all-cut t'l-oln both -idi-s 1 rase, ' is common, and he states that in 345 skulls the following occurred : P^ absent on both sides 5 cases, do. „ „ one 4 „ p~l „ ,, both frequently, do. ,, ,, one 9 cases, pl absent 011 both sides and pl on one side, 1 case. Morpk. Jahrb., 1879, p. 546. [This is of course a far higher frequency than was found by me, but perhaps discrepancy arises from difference in reckoning the evidence of absence.] Two doubtful cases of absence of were seen in Dos. *243. Esquimaux Dogs : absence of/)1 quite common, the following skulls being all of the breed that I have seen. Noi'mals, with^>~, only two specimens. Specimens with no//, above or below, the canines in such cases standing close to p~, three cases, viz. B. M.±58. 5. 4. 96; B. M., 166, a; G. S. M., 542. ^ absent on left side and p on both sides, C. M., 1000, c. pi absent both sides and pi absent on left side, L. M. ^ and ^ both absent from right side; left normal, O. M., 1789. yT1 absent on left side, B. M., 166, r, 3. J71 absent on right side, B. M., 166, t, 2. The partial establishment of a character of this kind in a breed, which, if selected at all, has been selected for very different qualities, is rather interesting. It need scarcely be remarked that the partial loss of this tooth cannot in the Esquimaux dog have occurred in connexion with an enfeebled habit of life, as might perhaps be supposed by some in the case of the edentulous lap-dogs. As will be shewn in the next section, absence of the front premolars is a common character in the dogs of the ancient Incas, but in them the posterior molars are also frequently absent. There is no special reason for supposing that the Esquimaux dogs came originally from America, but it may be worth recalling as a suggestion, that according to anthropologists the relations - M ERISTIC VARIATION. [PART I. ut thf K-i|iiimaiix an- rather with American tribes than with Kiirup.-.-ins Jt' this were established, it would be not unlikely that tin- Ks<|uinmux dogs might be descended from dogs domesti- • 'I in AimTK-a before the coming of Europeans, and so far belong ratlin- \\ith tin- Inca dogs than with ours1. *244. Inca Dogs. The domestic dogs from the Inca interments, be- lonirin- fn a period befon- tli«- <• ..... ing of the Spaniards, have bci-n in\r~t i»;it»-il I iy Nr.iiKiXfJ. Of nine skulls not one had the full numln-i- "f t'-'-th and th«-n- was no case of supernumerary teeth. Sometimes tin- anterior premolar was absent, sometimes a posterior molar, and in some cases both. The formuhe were as follows: 4 — 4 — '4-3' 4 — 4 ^ --.- ,) O •> ;>3 — 3' 4 — 4 9 O £ 2 — 2 , P3-3' 4 — 4 O — O P 3— 3' 4 — 3 /•» 2 2 4—4' 3 — 3 O O _ — H 2— 2 ; 3— 3' O O I In- di.LfN \M-I-P all of moderate size, and none shewed any defects in tin- t'iii-iii nt1 teeth, which were all strong and sound. XEIIIUXG, A.. A'". -/,/<-.-•. 1» |. \\. p. '.I |. (f Unmoeotic) in form of third Premolar. *24">. Dog: lar^'- breed. Jn the upper jaw on both sides the third premolar, in-trad li-hrly ch;inL.'ed. This is nut a case of persistent milk-tooth, which though ,-i three-rooted tooth, i.s very ditren-nt. C. S. M., 55s. III. Variation in Supernumerary molars an- m.t i-an- in Cauida.-. In all cases seen by me these teeth are siiigl.-rooti.-d, round-crowned, ratlin tubercular teeth, plan-d behind >»- or "^ as the case may be. Hi \>i.i.' ha- observed that it' „,> occurs, thru ,„* which is normally single-rooted, not iiinv(|urnt l\ has ;l ,|uul»lc rout, i hough the same variation may occur when there is no m* promt. CUM vn-M-ly, u1"'" "- is absent, nut a raiv \ariation, then ^ is often of a • I:\KII.I IT, arK'iiiiiL' chirily fmm ImKit-. coii>i,lrr< tin- Ks.piiinanx ilo^-s to be aon ' wolves, an.l aaya th.-a th.-v ot'tn; breed with tlir \vulf P Z S 1-'.'", ,,. 17. - Hi N-I i . Mi.i-fJt. J,i)ii-l>.. Is;-.). v. ].. 539. CHAP, ix.] TEETH: CANID^E. 217 size below the normal, having a single root and a crown slightly developed, like that of m3. This reduced condition of „,- may also occur in cases in which „>'•' is not absent. These observations of Hensel's, which are of great consequence to an appreciation of the nature of Repetition, I can fully attest, and similar cases of Variation in adjacent teeth associated with the presence of a supernumerary were seen in other animals also. A. WILD GAMBLE. Supernumerary Molars. 246. C. lupus: 26 normals seen. Specimen from Courland having supernumerary m? on left. In this specimen «^ is rather ab- normally large on both sides, and the lower third molar, on the left side, viz. that on which the upper jaw has an extra tooth, is larger than right ^, but it is not larger than usual. C. M., 976, M. HENSEL, 1. c., p. 548, saw 27 skulls, none having extra molar, but one specimen known to him had a right w^. 247 C. mesomelas ijj (a Jackal): small, bitubercular left IH?. Doxrrz, ' Sitzb. naturf. Fr. Berlin, 1872, p. 54. (See Nos. 226 and 228.) The S. American Camdce (Lycalopex group) are remarkable for the frequency with which they possess extra molars, as the following cases (C. azarce, vetulus, magellanicus and cancrivorus) testify. FLOWER and LYDEKKER1 speak of the occasional presence of w3 in C. cancrivorus, but the evidence taken together seems rather to shew that there is a general variability at the end of the molar series in both jaws in these species ; for not only is ^! found, but in some cases m* also, while in one instance there was an 'odontome,' or rather a complex of 4 small teeth attached to m3. 248. C. vetulus, Brazil : specimen having an extra molar in right lower jaw (Fig. 44, 1.). The posterior part of m? is slightly pushed outwards and a very small extra tooth stands behind and partly internal to it. Right Irf is slightly larger than left m? and differs from it also a little in pattern. The extra tooth has one large and about three smaller blunt cusps on its crown, and might be described as a small representation of the larger w* seen in other cases. B. M., 84. 2. 21. 1 (mentioned by MiVART2, Monoyr. Canidce). *249. Canis azarae : Brazilian specimen having a large sup«T- numerary molar («&_3) in each upper jaw placed in series with the others. In this specimen the great enlargement of ^ is very 1 Mammals, Liring and Extinct, 181)1, p. 540. - In the same place Mivart mentions a case of wf in " C. cancrivorus," Imt I have not seen it. Perhaps this reference is to van der Hoeven's case (No. 24U) which was by Burrneister named C. cancrirorus (see HUXLEY, P. Z. S., 1880, p. 2(>s). -218 MKKI-TK.1 VARIATION. [PART i. on both sides, and this tooth is present as a large tooth with apparently three roots. In the lower jaw there is noextr.-i li, lint the molars are considerably larger than those of a m •2. :.d 252 ;:;. < -HIM azara . I. :m.l II. Itight upper and lower jaws of the specimen • !• -i-i il>i d in N". -Is. s-licwin/ tlie extra upper molar and the correlated enlarge- ' ' . III. ami IV. are taken from a normal specimen of slightly ' ', c:miH"i:il trrtll. '1'lii- ti, kiii'lly drawn for me liy Mr J. J. Lister. normal speeimrn < Kig. 4o ). In the figure, side by side with the ;<•>•! h ut' tin- alnioniial form. an- shewn the teeth of a normal skull whieh w.-is -.lightly larger than the abnormal one, for comparison. C. magellanicus : >]irriiut>n having JiT* on both sides. B. M., 46. 1 1 . ."•. '.' ( iiiri,i ii.ncil l.y 1 1 rxi.Kv, /. c. |. C. cancrivorus. The ..uly -kulls of this species seen by me are those in I',. M. < if these «n<- ^kull with lower jaw, one skull without l<>\\er ja\\ . .-iiid one lower jaw without skull, ha\e ninnerically the noiinal dentition nf Cants, Init of these, one has ri^ht m8 much larger than corresponding left looth. The following were abnormal: small tuliereiilar m* on l.oth Cities, u]']ier series normal, I!. .M., 1033, l>, and also 15. M.. 1033, C, (Fig. t I. 11.) mentioned l,y H t \i.i;v, ' I. c. Specimen haxini,' upju-r series and left lower series normal. On inner -ide of ri^ht „, and as it were ^rowin^ out from this tooth is a I-i- im . HKXSEL, I.e., gives the following: C. vulpes: 1 12 skulls; ,„< al)sent on both sides, 5 cases; on left side, 3 cases. C. lupus : m> absent on left side, 2 cases; on right side, 1 case. ICTICYOX AND OTOCYOX. * It is remarkable that in each of the two genera Icticyon and <>(,,<• I/mi, whieh are especially distinguished from Canis by the possession <>t unusual dental formula-, numerical Variation in the Th has been recorded, though the number of skulls of these forms in Museums is very small. The two forms, besides, differ fr<>ni Canis m opposite ways, the one having a tooth less in each jaw \\hile the other has in each jaw a tooth more, so that the pi* -ei ice of extra teeth in the two species is all the more im- portant. 255, Icticyon venaticus : according to the authorities has p±, m^, vix. a nn .lar less than the Dog in each jaw. The following skulls are all that T have seen. The carnassials did not vary appreciably in tin- tlm-r skulls. Kai-li --kull differs from the others, as follows. //;. ///'. 15. .M.. 185, a. pi, m, \, IJ. M., 185, I,. j>\. ///:. e1. s. M., :>:;:i (See FLOWEK, /'. Z. S., 1880, p. 71.) 25li. Otocyon megalotis [^ /nf< y. that i-. niir molar more than the Dog in each jaw. It occurs in I >kulls at I!. .M . and in 2 at C. S. M. One specimen has in addi- 4. __ 4 tion an extra molar of good size in each upper jaw, giving m - In this case '"' i- enlarged also on both sides. C. S. M., 675 (see Cat. .]/<>«. <',,//. >///•;/-./,. nativrf. /'/•. /;•/•//,/, 1,^72, p. ~>\. B. DnMKSTIC ])o(;s. Supernumerary Molars. 2">7. Dogs. In :H") skulls the following i'S ,-;lSes occurred, chiefly in large breeds : on Lith sides and m4 on one side, 1 case. '"; on both sides 2 cases. in1 on one side 9 cases. »'; and /„» on one side only 2 cases. ,,,4 on both sides G cases. m4 on one side only > cases. Ih.N-r.i., .l/o/-/.//. ././/./•/,., i>7'.'. \. ]>. 538. CHAP. IX.] TEETH : CANID.E. •2-21 In addition to these, ^ and m4 absent on both sides, 1 case. This was the only case in 860 skulls of Canis, of which about 650 were Dogs. The formula in it is thus that of Otocyon or the fossil Aiaphicyon. NEHRING, Sitzb. naturf. Fr. Berlin, 1882, p. 66. In 216 skulls seen by me there were 8 cases of extra molars, viz.:— 258. Sheep dog: left w^. C. S. M., f>s7; Bulldog: left, »<<. u. M., 166 s; Dog from New Zealand, having left "^, left m2 being larger than right «£ C. M., 1000; Bhotea Mastiff: ^ on right B. M., 166, f.; Pointer: left »T4. C. M., 1000, A; Dog: right «ti Camb. Morph. Lab.: Pariah : ^ has been present on both sides, also a small stump below T^1 and p1, possibly part of a milk-tooth. B. M., 166, d. 259. Mastiff: supernumerary w4 on right. The right wTj materially larger than left ^ (Fig. 45). C. S. M., 555. right left reversed FIG. 45. Posterior molars of lower jaw of Mastiff No. 259, having an extra ,„< on the right side. Right m3 is materially larger than left ^3. 260. Dog, large size, supernumerary w4 on right side. On both sides m? is two-rooted1 and of large size. Letjd. J/»s., 258. 261. WIXDLE and HUMPHREYS, P. Z. «S'., 1890, p. 27, give an account of extra molars in the Dog, speaking of upper jaws only, and some of the foregoing are mentioned by them. As they do not specify the collec- tion in which each is found the identity of the cases is not easy to tell. The following cases given by them are, I believe, all in addition to those already specified : — Bulldog, Lurcher, Pointer and Terrier, »^ on both sides. Bulldog »»3 on left side; Esquimaux, Pug, Spaniel, West Indian Dog, »<_3 on right side. Coach-dog : m4 on both sides, MAGITOT, Anom. Syst. dent., p. 103. Absence of Molars. 9(32 D°S : ui 345 skulls the following seen : m* and ^5 absent on both sides, 2 cases ; " ^2 and ^ absent on both sides, 1 case ; /^ absent on both sides, 25 cases ; ^ absent on one side, 9 cases. HEXSEL, I.e. In 216 seen by me the following occurred: ^3 absent on both sides, 7 cases; C. M., 993 and 978; C. S. M. (Store), 05 and 67; two skulls marked " Skye Terrier,'' 1 It generally has a simple, conical root, but not rarely it has an imperfectly divided root, <>.//. Newfoundland dog, 0. M., 1778. •2-2-2 MKKI.STIC VARIATION. [PART i. l.robiibly both of the same strain, C. M. O'U, F and G; and Fox Terrier, C. M.. •.nl. .' .ut on left side, 2 cases. Irish Wolf-dog, B. M. *•_>. 11. 11. 1; Fox ', A \ ,,,3 absent on right side, 1 case, Bloodhound, B. M., HJi'-. f. ibtful cases. Inca dogs : for evidence as to absence of molars, see No. 244-. FELID.E. Th.' follow ing evidence relates to the genera Felis and Cyn- celurus. 'I'll" usual formula is ,§, cj, ;?f, w{. Of wild species, •27s- adult skulls having no extra teeth were seen, and s eases ..f extra teeth (nearly 3 per cent.): of domestic Cats, 35 adults \\ithout, and 3 cases with extra teeth (so far, about i) per cent.). A- in Canida- su in Felidw, there is a remarkable group of cases ot' \ariation in the anterior premolars. In the normal a small anterior pivmolar stands in the upper jaw, and commonly it is one-rooted, sometimes two-rooted (cases given); but there is no small pr.-molar- ab..ve are common1, just as there are often two small anterior preniolai> in the Dog. There are besides a few cases nf tin- pre-enee nf a small anterior premolar in the lower jaw, Inn they are rather rare, and curiously enough there seems to he IK. case of the e, .1 1 icideuce of these two variations in the same 3kull. A- already Dialed, in describing cases, the small anterior pre- inolar in the upper jaw will be here spoken of as /^, though no suggestion that it is the hoiuologue of the Dog's ^ is meant. In a few speeies />l is UK.-) commonly absent (cases given). There are some rurious cases ,,f i/n^h'n/tes of large premolars (Cat) and one of tl'ijJ/i'iite cmiim- (Tigei1), also a few of supernumerary molar. TliMii-h BO small, and liitin- mi no tuoth of the lower jav. - nearly always in place even in old skulls (HEXSEL). Vnrititi',11 in I in-ixnrs. NI. quite satisfactory case "f nunicrical variation in incisors of Felicia known to inc. The t'olluwiii -lii.iiM liDWi-vcr l.c i.'.ciitiniicil. •2\\:\. P. lynx: t\\u c\ti:i t.-dh in ]>rcni;ixill;c. lli^'lit incisors normal; sockets f..r let't iiiH-ui'- iHirniiil. Ont^i.lc 1,-tt • and dose to canine is an extra tooth of good size, and in -aim- place on ri^ht i- a .-ocket for a similar tooth. Since they are in pre- ma\ill:c the-e ti'cth ale yj/-ii/«//i/// nut jicrsisti-iit milk-canines. Lower canines Lite in fr»i,t of th. • tli. 11. M.. 1 1 .".C.. a. absent. F. pardalis: '' and ,i ul.seiit on left side. A- i.-ards the lower jaw the tooth ;;/•/// have t.eeii jircx-nt. and I., en lost, but left /' has probably never been present. It is e-|.i cially notable that let't '' is larger than ri^-ht ^, but there is no indication that i'1 is coni|.ounded \\itli it. II. M., lOt'.s, ,/. F. chate [? = ;K»/-(/I//I>-|: doulitful if i'1 has been present on either side. B. M., .'.."». r_'. •_"•.. ITS. ->i;- Cync-rlurus jubatus : no trace of ik'ht P; same skull has no )^; lower jaw iioimal. 1'.. M., 1 :'••">./'. 1 i ission of such cases see Chapter x. Section 5. CHAP. IX.] TEETH : 0 O Q *-_-'_> Anterior Premolars (supernumerary}. UPPER JAW. ~2ou. F. pardus : right 7'1 single and normal; on 1. side two such teeth, both standing at level anterior to right p1. The anterior is of same size as right .2^, the posterior is rather smaller. B. M., 87. 4. 25. 1. 2b/. F. eyra : two small anterior premolars in left upper jaw, BAIKD, U. S. ami Mi'.r. Bouinl. Knrv., Pt. 2, PI. xm. tigs. 2, a and 2, c [anomaly not mentioned in text]. *268. F. catus, Athens. Two small anterior premolars in upper jaw both sides (Fig. 46, I.), small and standing close together. On rt. anterior the larger, on 1. posterior the larger. B. M., 47. 7. 22. 2. FIG. 46. Left-hand figure : upper jaw of F. catus, No. 268. Eight-hand figure : upper jaw of F. inconspicua, No. 269. *269. F. inconspicua (= torquata). Rajpootana. Two small an- terior premolars in upper jaw both sides ; both small, diastema between them. Posterior is nearly in contact with ";/", while anterior is only a little behind canine (Fig. 46, II.). B. M., 85. 8. 1. 26. (Another specimen has p^_ as large single-fanged tooth.) 270. F. domestica (out of 38 skulls): internal to and rather behind left P^ is an almost identical copy of it, though rather smaller. Not a milk-tooth. C. S. M., 414. 271 . Out of 252 skulls two anterior premolars on both sides, 4 cases ; on right, 2 cases ; on left, 1 case [none specially described]. HEXSEL, Horpli. Jahrb., 1879, v. p. 553. 272. r- caligata, Socotra : outside right p^, a small extra tooth. In this specimen f^ on each side has two roots. B. M., 857, b. Doubtful cases of extra upper anterior premolar, F. pardus, C. S. M. 365 ; F. leo, C. S. M. 308. LOWER JAW. 273. 274. F. concolor : a supernumerary anterior premolar on both sides present, Berl. Anal. Mus., 3G78. HEXSEL, ibid. F. catus or mani- culata : ditto. Frank/. Mus., HEXSEL, ibid. F. catus : ditto, on left side, closely resembling pl. Two cases, B. M., 1143 and 1143, «. F. domestica : (in 252 skulls) a supernumerary premolar on both sides, just in front of and nearly same size as the usual "P~_" one case ; on left, as a very small tooth midway between canine and "p~*," one case ; on right, rather larger than in foregoing and nearer to "p," one case. HEXSEL, ibid. 275 F. tetraodon: alveolus for small anterior premolar in right lower jaw; but as this fossil form very rare, uncertain whether normally •Jl'4 MKIJISTIC VARIATION. [I'AKT I. pi.-~,-nt in the species, DK BLAIXVILLE, Osteogr., Atlas, PI. xvi. /'. /. ,s / 1> x. Variations in size of p^. ;27o. F. pardua : /•' sometimes two-rooted, as C. S. M., 360 (African); more often • . S. M., 3(54, Ac.: many gradations between these. In B. M., 115, ft .-Mi- a small worn stump [? of milk-tooth] in this ahvolus. F. domcstica : /•' twn-r-mted C. S. M. 40'J and B. M., I'll, ';:;. •* \ F. nebulosa, ditto, two cases [? normal for species] B. 51.; F. rubi- glnosa. M.-il.-i, •••:(. ditto, B. 51., 185(5, a; F. chaus : both sides in domesticated •iiii-n iViiiii India. 1!. 51.; and in B. 51. 58. 5. 4. f>9, similar specimen, this tooth is -m.-ill mi left. ;il'-!-nt "ii right; F. brachyurus, absent both sides, B. 51.; F. chincnsis. ii^/hi ali-i-nt, 15. 51., 70. 2. 18. 25; F. javanensis, left absent, B. 51. 1641, a flint in I!. M. ]:!!)'.), //, / /'' lit Imth -i'li-s t; times, and one side, once (in 2 cases anterior deciduous tooth ri-iiri-ii< .I mi Imtli -id«-> in u]i|i.-r jaws of adults) HEXSKL, /. c. p. 552; in 3H skulls - 11 l.y mi. /-' :ili~. nt Imtli sides, 2 cases; right side in one case (5Ianx, C. S. 51., I'JS. A). Iii thr following species the absence of ]^ was so frequent as to call fur ^pci-ial not iff. 071, Cynaelurus jubatus : of 8 skulls 3 (2 African) were like Cat, li.-iviiiLC /'' ''"tli sidfs : y1 ,-ilisfnt lioth sides, 3 cases, B. M., 135,^/1 .•UK! C. >. M. : I, -ft /-' absent, n\flit very small, C. S. M., 441; ri^l'it p absent [?]. I'.. .M., L35, c. I'so. F. caracal: oul of 8 skulls only 4 had any indication that p1 iniu'lit have liffii present, and in these it was doubtful. •_'M. Lynx: ut' Lynxes of possibly different spcfics, 17 skulls have no p^, a .-skull inai-kfd "Lynx borealis," 1!. M., lL'30, a has a small, worn stump a- /'' on each side. 2 si'. F. pajeros ( pampana), Chili: i' skulls only known to HKXSEL, '. c., l.otli without p\ 'I'l'is tooth absent in B. M. 126 and 126, c; but in uiif sjiffinifii seen, ri^ht y' absent but left /^ of good size. ]''i/-tni/ division (?) of lower premolar. Two cases ivl.-it.- to this subject. The first lower ])reinolar "t FelidaB is a two-rooted tooth of well-known form. In the first of tin- toll, .\\in-- cases it boiv an extra talon and root; in the sffond tli.'iv \\.-is a Mnall t-xtra root ,,n the internal face. (Cp. C. vulpes, No. -2'-\d) P. tiglii: anterior right Lower premolar has a thin supernumerary root on intfi-nal uide of' thf tooth at the level between the two normal roots. Thi> loutli iii f-.i-m iv-fiiiblfd a niilk-farnassial to some extent, but it was ft-rtainly not one of the normal milk-ti-eth. C. S. M., 333. CHAP. IX.J TEETH I FELID^E. 225 *2S4. F. fontanieri (see No. 290) : anterior premolar of right lower jaw- has additional talon on internal and anterior surface (Fig. 47). This B FIG. 47. Felis fontanieri, No. 284. A. The normal anterior prernolar of the left lower jaw. B. The corresponding tooth of the right side from above. C. The same from the lingual side. portion has a separate root, and stands somewhat apart from rest of crown, looking like a partially separated tooth. B. M., 90. 7. 8. 1. Duplicate Teeth. 285. F- tigris: on right side, two canines in the same socket, both of large size, the anterior being the smaller; neither is a milk-tooth. Mus. Odont. Soc. 286. F. domestica : having a large supernumerary tooth in each upper jaw. The extra tooth was in each case a small but accurate copy of the carnassial tooth (Fig. 48) of its own side. In each FIG. 48. The teeth in upper jaw of Cat, No. 286. case the extra tooth stood internally to the carnassial tooth, ex- tending from the level of the middle of the carnassial tooth to the level of the middle of the molar. B. M., 83. 3. 10. 1. 287. Specimen having a tooth in the upper jaw closely resembling the second premolar ("p3" auctt.} internal to and between it and the carnassial. The internal tooth is slightly smaller than the second pre- molar1 (Fig. 49). C. S. M., 414. 1 In this case, it is not possible to say strictly that either of the two teeth " is" the normal second premolar, rather than the other. B. 15 226 M Kit I>TIC VARIATION. [PART I. 288. Specimen having a small tooth internal to the middle of the lower [?sid. cafnassia] < • ): the extra tooth was here divided into two cusps so that it was a copy of the carnassial. HEXSEL, /. c. i. -10. Plan of teeth in upper jaw of Cat, No. 287. The two teeth marked with crosses are separately shewn, that on the right being the external. 2s!». Specimen having a tooth like the last, but not so distinctly divided into two cusps, internal to posterior end of lower carnassial [?side]. ibid. Supernumerary Molars. Cases like the last cannot be clearly separated from cases of true extra inulars in scries, such as the following. It is remarkable that no case of supernumerary upper molar in series seems to be known in Felicia?. In the Tiger and other species the upper molar is sometimes single- and sometimes double-rooted. F. fontanieri : a species nearly allied to the Leopard (F. y»//v/'/M, inhabiting the Kiu-Kiang, a geographically isolated region of N. ( 'hina. Only t\vo skulls are known, and each of them pre- sents an abnormality in dentition (see No. 2N4). Skull having >npei nuinerarv tubercular tooth in series (m*) behind the left lower molar (j/T1). B. M., 14!K), a. 201. r- pardalis: ,„' on left side. HEXSEL, Murjih. Jahrb., 1870, v, p. 541. F. tigrina : tubercular ma On left side. S> in .r.;i i., 1'. '/.. .S'., isCiij, p. 419. F. lynx: ditto [? side]. MA particulars]. ^'Y.MAN, J., Proc. Boston N.ll.^.. v. }>. Idn. F. pardua : doubtful indication that a left „,- has been present. C. M., f 933, F. Absent Mulm: F. leo : '"' ali-mt on botli sides, and tliero H m> s]iace for it behind the upper cnrnassials. B. M.. :n both sides. B. M., 7*9, l>. H. nyuia : doukt'ul if ri^rlit '- lias been present. B. M. Anterior Premolars. In tin- great majority of both Asiatic and African species of Her- bhe ant. -i in) premolar (//) is normally present in both jaws, and in these species ''• <-ases of absent y were seen. When present it i> a tooth of small but still considerable size. It appeared from tin- specimens that / in the species //. yracilis (Africa generally), and IK. tli i •' and y,! in //. ijalura (E. Africa) are commonly absent. As in other cases ft' ali.M-nce nf ti-i-th tin- ijuestion arises whether the absence is due t<> age or accident, or on the other hand to original deticiencv. This question cannot be definitely answered, but some considerations touching it should be mentioned. First, as has been said, the tnoth when present is of moderate size: though small, it is ijuite large enough to be functional, and is in no e rudimentary. In his synopsis of the genera, THOMAS* says of Hi I'IH *tes, " Premolars [ (if only 3 in either jaw, a diastema always present)." There is however no reason for supposing that the presence or absence dt' //' is d. termined by chance. From the fact that a tooth is small, it bv no means follows that it is often lost. To any one handling large numbers of skulls, instances of the contrary must lie familiar. A case in the Otters well illustrates this point. In Lutra riili/u t-i* upper />' i- a small toot h. and from its singular position internal to the canine, it might be supposed that the development of the canine might easily push it out; yet in 41 skulls of Lutra vulgaris, only I case of absence of p_' was seen. Of L. cinerea on the contraiy six skulls are without 7^ ; but as in two young skulls it is present on both side-, then- is thus a strong presumption that in this species the tooth is lost with maturity. The frequent absence in the one species and the constant presence in the others points to a difference in organi/ation li.-i \\een them. When //' is missing in a skull, though we an- not entitled to infer that it has not been present, still the fact of its pr.-M-iH-e in one case and of its absence in another is on the face of it an indication that liet ween the two there is a difference or Variation, but whether tin- Variation lay in the number of teeth originally formed or in the mode in which they were affected by subsequent growl h i- im.-.-rtain. In the specimens to be described the absence of ]>l in certain individuals or species is no less detinite than its presence in the others, and that which i^ a variation in one species will be seen to be the rule iii others. A regards the presence of y/' the specimens thus make a progress! ve series. .M,,st species ha\ing /.}, but //.'. as ,-i variation; //. i/rai-ifi'n (and O i ha\ing /^ normally, but j>\ as a variation and p- 3 — 3 1 TiK'Mv-., ()., on til.- African Mungooses, 1'. '/.. \., lss-_>, p. 62. CHAP. IX.] TEETH : HERPESTES. 229 also as a variation; and lastly //. yalera having p| normally but shew- 3 4 4 4 ing a case of p -= and another of p - ^ . Lastly, all specimens of o — 4 4 — o Crossarchus seen had j>\:. Of species commonly having p\, 91 such skulls and the following cases of absence of p1 were seen: *295. H- ichneumon, 9 normals : J>\ absent both sides. B. M. ; on left, C. M., 965, D. H. griseus, '21 normals : ^" absent on right, two cases. B. M., 145, k and HI. H. smith u. (5 normals : pi absent both sides. B. M., 979, b ; on left side, B. M. 84. 6. 3. 13. 290. H. gracilis on the contrary shewed p% in 8 specimens, pi present both sides once, B. M., 789, a ; left Jt absent once. B. M., 789, b. H. pulverulentus : p$ in 2 specimens. 297. H. galera : p§ in 7 skulls, one being quite young: jj1 is present in all four places, in one young skull making p\, B. M., 148, d; pi and p^_ both present and well developed on right side in old skull. On the left there is ample room for them. 15. M., 79, a, P\ present on both sides and alveolus for pi on right. B. M., 148, I. Crossarchus : 13 skulls assigned to 4 species, all had p§. Case of two Anterior Premolars. 298. H. microcephalus : on right side two teeth like p^, crowded together, others normal. Leyd. M. Compare Rhinogale melleri (an 5 g African Mungoose) of which only known skull (in B. M.) hasp 7— -.. The appearance here is that a tooth unlike and rather larger than p^ stands in front of it on each side (see THOMAS, /.c., pp. 62 and 84). Supernumerary Large Premolars. Taken together the two following cases are important as illustrating the difficulty of drawing any sharp distinction between cases of dupli- cates of particular teeth and cases of extra teeth in series. They should be read in connexion with the cases of F. domestica (No. 286), Helictis orientalis (No. 312), Vison horsfieldii (No. 311), Ommatophoca rossii (No. 320), Phoca grcenlandica (No. 324), &c. *299. Herpestes gracilis : supernumerary tooth in right lower jaw (Fig. 50). On comparing the teeth of this specimen with those of FIG. 50. Right lower jaw of Herpextes gracilis, No. 299. View from labial side ; ground-plan of the jaw ; separate view of the tooth + . (7, the canine. other Herpestes in which p is present it is quite certain that no tooth in the abnormal jaw corresponds with p^. The foremost of its pre- molars on both sides clearly has the form of ^. The next teeth have the correct form of p5. In the left lower jaw the next tooth is^; but M KIM STIC VA HI ATIOX. [PART i. on tin- i-iu'lit -idi- immediately in succession to ^ but slightly within the an-adc i-, ;iniither tooth (marked + in the figure), which is very nearly a • •"]>>• ofy,>. tin. ugh a little smaller. On the outside of the jaw and lii-liiiid thi.s to.ith is a normal ;A From its singular position outside tli.- series, this tooth might easily be taken for a supernumerary one though it> f.ii in clearly shews it to be a natural p* displaced, while two t.-t-fh having the form of j7s stand in succession. B. M., 63. 7. 7. 18. (in. -mi,. ned by THOMAS, P. Z. S., 1882, p. 62). H. ichneumon (Andalusia): in one of the upper jaws between :ini/f and shape is about intermediate between r and p\ Leyd. M. Molars. Tin.- only cases of noticeable variation in molars were both in t In- same species, Crossarclnis zebra. Of this species six skulls were n, four normal, and also the two following, the first being a case of extra molar on each side, the next a case of increase in size and cninpN-x variation in m?, on the left side suggesting a partial divi- sion of this tool li. '301. Crossarchus zebra: small but well-formed additional molar in uppi-r ja\\ .,11 each side, making pf, ??i|. (Fig. 51, III.) Teeth unfortunately all much worn, so that it is not possible to determine whrtluT any of the molars differ from their normal forms in corre- lation with the existence of these extra teeth ; but as far as size is concerned, then- was no sign of such change, ^ and m?_ being of th.- ii-ual >j/e. B. M., 73. 2. 24. 18 mentioned by THOMAS, P. Z. X. l.ssi>, pp. 01 and 89. FlO. 51. ' .//V/H/X :,lr,i. I. I'.'Stn iui njip.T nmlars of No. II. A Hoi in;il sjurinicn, right upper jaw. III. Upper jaw of No. 301. CHAP, ix.] TEETH: MUSTELID.-E. 231 302. C. zebra: all teeth normal except second molars in the upper jaws on each side, which depart from the normal in the following manner. Right >^ has a small extra cusp (Fig. 51, I.) on its outer side, making four instead of three as usual (cp. figure of normal, Fig. 51, II.). The left ^ is very extraordinary. It is rather less than twice the size of its fellow of the other side (Fig. 51, 1.). The crown is of an irregularly elliptical form, the long axis being oblique. The posterior and anterior faces are marked by a shallow groove, giving an appearance of imperfect division into two teeth. The total number of cusps is greater than twice that borne by the other, but from the irregularity of the surface it is not possible to speak more precisely. For fear of injury the tooth was not extracted, so that the number of roots cannot be specified. B. M., 82. 5. 26. 1. 303. H. ichneumon (Egypt), having no right ri>. Leyd. Mus. MUSTELID^1. The evidence of dental Variation in this family is at present too small in amount to be of much value. It is chiefly interesting in so far as it relates to cases of the occurrence in one genus or sub-family, of a formula characteristic of another. Variations of this class, con- sisting in the presence of or absence of the anterior premolar or last molar, are in some of the forms very common. As will be suggested in the next chapter, some of these, for example, the variations in p1 in the Badger, have a certain importance as giving some measure of the magnitude which a tooth may have when the species is, as it were, oscillating between the possession and loss of the tooth in question. Amongst Mustelidse there were two cases of supernumerary large premolars, probably reduplicatory. Anterior Premolars. Ittustela (Martens), normally p|, m&. Seen in adult skulls of various species (M. 2Min '"£• 5 specimens. 1 Totals of normal skulls refer to Brit. Mus. and Cambridge If"*, only. 232 MKRISTIC VARIATION [PAUTI. Galictis : // :, ;/«i. Xonnal adults (G. barbara 8, vittata 4, alla- iiiu /"It '_' i, 1 I -jif.-iiii.-n-. *30G. Cr. barbara, ha\ing minute extra .interior premolar (making 4) in cadi lower jaw. I!. M., ^-''J,^ In 1'* skulls HKXSEL found the following variations in premolars, the molars being always m\- 3 3 p - , viz. the normal, 1 2 cases o — <3 3—3 3 — 3 3 — 3 2 — 3 L>_3 3_o 4 — 4 2 — 2 3 — 4 -, — ^, r ..... P 9—<>>P o — v? 3 — 3 each m one case" _ - *• O ~~ ' ~ O — ^ - ^ ^ *J *J "" Taken tn^rihn- therefore there were 12 normals with p§, 16 cases of or less reduction, and 2 cases of increase. HEXSEL', Saugetldere $, p. 83. 307. °- vittata: /-' may lie absent, especially from upper jaw. BURMEISTER, Eeise •lni-ri, , m\. '.I specimens. 308. ConepatuB: /''.m|. 1'J specimens. Con<-i>liitiK, iiinl normally differs from it in having one premolar less in upper jaw. This tnotli is sometimes present as a minute tooth making p§. Sometimes on tlir i-ontrary there is a premolar less in the lower jaw, giving jjg. COUES, i'ur-lx.irinii .liiiinnl.-i i if .V. .-I/id-;-., p. 1'.I2 and X»tr. In addition to the 12 normals mentioned two cases of />§ were seen, viz. C. mapurito, 11. M., KM. 11. •_':,. s. and C. chilensis. 1'.. M. S29, a. In the former anterior premolar is of ^oml si/.e, hut in the latter it is very rudimentary. th.-r t-asc mentioned by BAIBD, Miunm. uf X. Am/'r., p. Mydaus : ;•;;, ;;/ .'. . 1 *309. Meles : .•..iiiiimnly /yj, ///.',. In M. taxus, the common Badger, // is t'lvijiii'iit ly ahsi'iit from one or more places. Of 36 skulls only 16 lui'l /-' in all jaws, 7 have it in each lower jaw and '1 had no such tooth in .-it her jaw. In remaining cases it was sometimes absent on right, sometimes on left, sometimes from above and sometimes from below. Some of these ca:-.-- iu.iv I >e due to senile changes but this was certainly not BO in all. Ali-em-e from lower jaw seems the most common. HK\SI.I.. Mm-fitt. .lulu-It., 1S7«), y. p. :>.-)d. < if yen us .!/. /- x the following were seen by myself. + means pre- sence, — absence of //. Tin- numbers ^iveii l>y Heiisel are the totals of ji + m, but he states that the viii i.'itiuii always coin-eiii. .1 the small anterior pu-molars next the canines. CHAP. IX.] TEETH : MUSTELID^E. Uppt :r jaw Lowe r jaw f *. „ N Cases right left right left Meles ta c«x + + + + 3 - — + -f 16 — — ? 9 1 — — — — 1 + _ 4- + 3 + + - + 1 25 31. ana him ) 2 Japan / M. chinensis — — 3 Taxidea: p§, m%. 1 specimens. Mellivora : p§, m^. 7 specimens, ilclictis p$, >n^. 6 specimens. Ictonyx ( = Zorilla) : jjf, »ii. 14 specimens. 310. Lutra. The Otters for the most part have p±, m|. The anterior premolar of the upper jaw is a small tooth standing internal to the canine, but in the common Otter its presence is most constant. In the Oriental L. cinerea, and the Neo-tropical L.felina on the contrary this tooth appears to be more frequently absent than present. The follow- ing table gives the results of examination of a series of skulls. + signifies presence, — absence of p^_. right left Cases Lutra vulgar is + + 40 + 1 macrodus + + 11 2 (1 old; 1 young) cinerea I + 2 (youns) 6 sumiitrana capenxis + + + + 4 1 1 maculicollis felina + + + + 1 3 3 + 2 sp. (S. America) »j ») !! ; I 14 1 1 In L. cinerea ( = leptonyx) the absence of p^ is associated with a more forward position of p^, of which the anterior border is then level with the posterior border of the canines1. See FLOWER and LYDEKKEE, Mammals, Living and Extinct, p. 568, Fig. 261. 234 M Ml; I -TIC VARIATION. [PART i. Large Premolars. Putorius (labelled " Vison Horsfieldii"): at the place in which tin- rL'ht lower posterior premolar ("jT* ") should stand there are two teeth at the same level. They are almost identical, but the inner A FIG. 52. Putorius, No. 311, right lower jaw, ground-plan of teeth and profile vit v. - ,,( two teeth at the same level. Upper figure is the internal tooth. (upper in figure) is slightly the smaller (Fig. 52). B. M., 823, a. Helictis orientalis, Java : having supernumerary two-rooted toe. Hi internal to and between P2 and 7^. This extra tooth is almost a copy of /<; (Fig. 53). B. M., 824, a. I i>.. '>'••>. Ili-Hrt i* urii'iitiilis, No. 312. Surface view of upper jaw and a representation of the ri^ht upper teeth as seen from inside. Molars. 313. Putorius: HF.NSEF,, M, „•]>!,. Jahrb., \. 1S7!», p. 540, states that he h.-is several skulls of Fcetorin* i>nt<>rius with an extra upper molar on one ^iiic iii ;i rudimentary condition. GIEBEL, Bronn's Kl. ». Onl., p. l^'i, T.-if. xv. figs. 1, 2 and 3, figures a spcriiueu of " Piiforiitu fi/jms" having . -i fairly well developed extra upper molar on each side making ///.: instead of m^. Pn.hahly both these accounts refer to P. foetidus. ,°>14. Lutra platensis: svipernumerary molar mi one side of upper jaw. •^ni-li a i, mih normally present on both sides in L. valr. Act, /.•'•>/'. Car. C'/'-x., xxix. p. 2(>. Lutra CHAP, ix.] TEETH : PINNIPEDIA. 235 sp., S. America, B. M., 85. 1 1. 23. 1, has small alveolus behind «<- 011 each side. 315. Mellivora (=Ratelus}: similar case. VON HEUGLIN, if>i'/. 316. Meles taxus has normally in\. Skull from Quarternary diluvium of Westeregeln has small alveolus behind right "^ and left m-. Another fossil skull has »i|. NEHRING, Arch. f. Anthrop. x. p. 20. [1 Small alveolus behind left ^ in B. M., 211, //.] 317. Lutra: case of absence of jwi ; Blustela : ^2 may be absent. HENSEL, /. c. PINNIPEDIA. With reference to dental Variation in Otariidse and Phocidee there is a considerable quantity of evidence. In some of the species the frequency of abnormalities is remarkably great. Among the most interesting examples are two cases of reduction in the number of incisors, both occurring in Phoca barbata. These cases are especially important in connexion with the fact that the Seals are exceptional among Carnivores in having a number of incisors other than |, and that among the different sub-families of Seals there is diversity in this respect. Taken together, the cases of Variation in the premolars and molars of Seals illustrate nearly all the principles observed in the numerical Variation of teeth. In both premolars and molars there are examples of the replacement of one tooth by two, and in some of these the resulting teeth stand in series while in others they do not. Besides these there are numerous instances of extra pre- molars and molars belonging to various categories. As regards the frequency of extra teeth in Seals it may be mentioned that of Phocidse 139 normals were seen, and 11 cases of supernumerary teeth ; of Otariidse 121 normals and 5 cases of super- numerary teeth. From the simplicity of the normal dentition and from the diversity of the variations presented, the evidence as to the teeth of Seals may conveniently be studied by those who are interested in the phenomena of Variation without special knowledge of the subject of mammalian dentition. Incisors. It will be remembered that of Phocidse the sub-family Phocinse (like Otariidse) has normally t|, while the Monachinse have i\ and the Cystophorinse i |. Of Phocinse of various genera and species 105 skulls having if were seen, and in addition the two following. *318. Phoca barbata. Greenland: skull having i^- on both sides (Fig. 54). This skull is a particularly good one and is neither very old nor very young. The teeth stand regularly together and there is no lacuna between them. There is no reasonable doubt that an incisor is absent from each side of each jaw. The shape of the MKKI-Tir VARIATION. [I-AKT I. premaxilla- is different from that seen in other specimens of Phoca, and, doubtless in correlation with the absence of the two upper C FIG. .",1. Incisors ami canines of 1'lioca barbata, No. 318. incisors, the width of the premaxilla? is considerably less than in -p. cimens having the normal dentition. B. M., 90. 8. 1. 6. 310. P- barbata: in left upper jaw are three normal incisors; but on the right side- the incisors have been lost. The alveoli, however, shew plainly that only two incisors had been present. Of these tin- outer one in size agrees with &, being a large alveolus equal to that "| , df the other side, but the second alveolus, occupying the place of j7"1 and /-, is also a large alveolus, scarcely smaller than that for P. It appears therefore that in this specimen a single large t oot h st 1 in place of il and i~. A lower jaw placed with this skull was normal, but it was not certain that it belonged to the skull. O. M., 1724. Premolars and Molars. Normal urninf/einent. In Phocid;e there are normally rive teeth behind the canines in each jaw, and according to the received accounts, of these teeth 4 are preinolars and one is a molar, giving /> ;}, in j, Tin1 Otariida1 on the other hand have generally p^, m^, but Imtli the two upper molars stand at a level behind that of the lower molar, so that the posterior molar, ^ is placed so far back that it meets no tooth in the lower jaw. Some of the ( Mariid;e. however, as 0. cul (/'<>riii. (iiniiHitojihnca ros.iii. No. 320. The anterior premolars of upper and ]n\viT jaws from the side. (The left lower and right upper teeth were not On the left side in the upper jaw, as the vis-a-vis to one of these double teeth, there are actually two complete teeth, of very -imilar but not identical form, as shewn in Fig. 56. Each stands in a distinct alveolus, the two being separated by a bridge of bone. The denial formula of this skull, taken as it stands, is therefore 5 — 4 1 — 1 „ . [I . 111 — , tor since the bigemmous teeth are not com- *T - T? 1 - 1 jiletely divided, they must be reckoned as single teeth. :\-l\. Cystophora cristata : internal to and slightly in front of// on each side in the upper jaw> is an extra tooth. These extra teeth are alike in t'i>nii but are rather smaller than P^. C. M., 895. ;;o-> Cystophora cristata (label, Phoca cristata): internal to ri;//tt upper ,"! is an alveolus for a small one-rooted tooth. In the corre- sponding situation in the left /<>/>•,,- jaw there is such an extra tooth in place. /,'//'/. J/. Zalophus lobatus ( = 0tdi-i>i lultot,,)-. left ^ smaller than right 7*1, and between the canine and the left i^_ there is a supernumerary tooth, smaller than left /<'. (The same skull has another extra tooth outside and between jr' and j"4, see below No. 333.) Leyd. ^f. [P. vitulina: nlv.-nlus tur left /'' much larger than that for rt. Pl; the latter tootli is in place, but Irft /•' is missing. C. M., IIU'2.] Lur'ie Prenwlars. P. groenlandica : in the position in which left upper ;?4 should stand there are two whole and complete teeth, each as large as normal l>\ Fig. "•"). The two stand perfectly in series, and owing to the wide CHAP. IX.] TEETH I PINNIPEDIA. 239 gaps normally existing between the teeth in this species there is no crowding. Between these two teeth there are slight differences of FIG. 57. Phoca fjrcenlandtca, No. 324. Left and right profiles. This figure was kindly drawn for me by Mr J. J. Lister. form, and the posterior is rather the larger. On both sides "^ is in place and at the same level. Both the two teeth in place of F4 bite be- tween fi and ^ of the lower jaw. On the right side F1 is normal and "^ is also normal but F* is a very large and thick tooth, and its main cusp is cloven, giving it the appearance of imperfect division into two. In this case therefore F1 on the one side may be supposed to have divided into two perfect and nearly similar teeth, while on the right side this division is begun but not completed. Leyd. M. 325. Otaria ursina £ : supernumerary premolar in left upper jaw. This is a curious case. The right upper and both lower jaws are normal. On comparing the left upper series of 7 teeth with the right series which has 6 normal teeth, it is seen firstly that the two molars of each side are alike in form and stand at their proper levels (Fig. 58). FIG. 58. Otaria nrsina, No. 325, seen from left side. lower prernolars ; 5, lower molar. 1, 2, 3, 4, first to fourth Next, nearly in the and p~ on the nearly the two posterior premolars of each side (F^ and F4) agree so that there is no reasonable doubt that they are not concerned variation. Anterior to this there is difficulty, for whereas pl are normal and in place on the right side, there are tJiree teeth left side to balance them. These three teeth moreover are so alike that it is impossible to say that either of them is 240 MKKISTK1 VAl;IATI<>\. [PART r. 326. 327. *328. definitely tin- extra tooth. The first pi. -molars of each side are almost exactly alike, and tin- .-eeond an. I third of the left side are each very liki- tin- second ..n tin- right side (jr), so that it might be said that //-' was represented l>y two teeth on the left side; and as seen in Fig. •">* tin- second and third on tin- left side bite between p and p* of the lower jaw. as tin- normal IT would do. This is however accomplished by the liack \\ard displacement of ^5. Probably therefore this should be looked on as a case of division of 1^, but there is no proof that the three first premolar.s «,f tin- left side are not collectively equivalent to the tir-t two ..f tli.- ri-Jit side. C. M., 911, f. P. groenlandica : the second upper right premolar is represented by two teeth, each of which has two roots; the two teeth stand at the same le\el in the arcade, the inner one being rather smaller. On the li-t't -id.- the second uppei- premolar is incompletely double, the crown I.ein^ partially divided by an oblique constriction into an anterior and internal pun imi and a larger posterior and external part. The former has uiie mut and the latter two. P. M.., A, 2897. Otaria jubata : left upper y/:i a bigeminous tooth something like the anterior preiimlars of Ommatophoca (No. 320). In this animal all the preniulai-s and molars are one-rooted and have simple conical crowns. The abnormal tooth is formed as it were of two such simple teeth imperfectly . H28. A diagram of the positions of the upper <>f the tn-th standing inti'iiial to each we\ •~'th tooth behind the canine (sc. "/'). which is pushed outwards by it. The extra tooth of the left side ( Ki-. .V.I) is a little larger and at a level rather anterior to that of the left extra tooth. C. M., 911**. CHAP. IX.] TEETH : PINN1PEDIA. 241 *329. P. vitulina : having a supernumerary tooth in each jaw on the right side. This is a somewhat remarkable case. In both jaws the extra tooth does not stand in series with the others but is placed within the arcade (Fig. 59, + + ). That of the upper jaw is a curved tooth with one large median cusp and a small cusp anterior to and posterior to it, having somewhat the form of p* of the lower jaw. This tooth stands within the arcade at a level between that of 1^ and p! which are pushed outward by it. The extra tooth of the lower jaw in shape closely resembles that of the upper jaw, but is slightly larger, having very much the size and shape of the lower right p*. In position this extra tooth does not stand between p2 and p3 like the upper supernum- erary, but is placed within the arcade and p^ and ]74 which are some- what separated by it. C. M., 903. [Judged by the ordinary rules of dental homology, the two extra teeth are not homologous, for the upper one is between p- and ps, while the lower one is between p and /A But when the jaws are put together it appears that the two extra teeth are opposite to each other almost exactly, the large cusp of the lower one being in the bite scarcely at all posterior to the large cusp of the upper. The tooth of the lower jaw is thus almost exactly the image or reflexion of the tooth in the upper jaw.] FIG. 60. Phoca vitulina, No. 329 ; view of upper teeth from the surface, and an imaginary profile of the upper and lower teeth of the right side seen from within. 330. Otaria ursina : this skull in bad condition. The Catalogue (1884) states that between r and F* on both sides and between F4 and m± on both sides there was a small supernumerary tooth, in all, four extra teeth in the upper jaw. The anterior supernumeraries are in place and one rather smaller than p^. The posterior supernumeraries are lost, but from the alveoli they must have been of fair size, though not so large B. 16 242 M ERISTIC VARIATION. [PART I. a- y1. Iii each c;isf tin- extra tooth is placed a little within the arcade though the adjacent tn-tli an- also spaced out for it. This skull has been a ;_">'"l deal mended. C. S. M., 990. 331. Phoca groenlandica: in ri^'lit upper jaw 7^ is smaller than the corresponding 1 of tin left side, though it is two-rooted as usual. Between it and p? there is a siii;ill. jn-^-likf, Mi]H rniiiin i.u-y tooth. Both pj and the extra tooth bite between ,,• mid ,„' of the lower jaw. Li-ijd. M. 332. P. grocnlandica : .-U]M nuimerary tooth with two roots placed internally to and between left /'' and »<\ The last molars stand at the same level on the two sides. B. M..32S, i. 333. Zalophus lobatus: in ri ine-i-.il-> ami raiiine>. tin- >.-e,m. Elephas africanus £ : the left tusk imperfectly doubled. The n..,t i)i»-r half so that at the other end it lay above and internal to it. 'I'll.- -tincture of the tusk was essentially double, but the two parts \\i-re more or less hlcmled together in the middle third. The ex- ternal ends vsere separate, ljut broken and somewhat deformed. KI;IKI>I.O\\SKY, A., Sitzungsb. iT ja\v. The teeth stand evenly and without break or trace of any other incisor having been present. There is no sufficient indication to shew which of the incisors is missing, lnit tlic two incisors present agree most nearly with i'2 and j3. This -p. run, n \\ii- first pointed out to me by Mr S. F. Harmer. (See also case given by Kri'oi.rin, An/ S. Ai'rifii, n. p. '.is. CHAP, ix.] TEETH : UNGULATA. 245 352. Ass : ( $ some 20 yrs. old) on right side in upper jaw were two canines, one in front of the other in the same alveolus. MOROT, Kec. med. vet., 1889, Ser. 6, vn. p. 480. Another somewhat similar case, ibid. 353. Cow : in place of right 7», two third incisors placed side by side. MOROT, Bull, et mem. Soc. med. vet., 1886, p. 321. Goat, 4 — 5 weeks old ; supernumerary lower incisor placed be- tween the two median incisors which rose above it. This tooth stood transversely so that its edge lay exactly in the long axis of the head. MOROT, I. c. 354. Sheep : extra incisor on left side. (Alfort Mus.). GOUBAUX, Rec. med. vet., 18o4, Ser. 4, i. [Several other cases.] Abnormal form of Canines in Sheep. *355. In the lower jaw of the Sheep there are on each side 4 incisi- form teeth, arranged in close series without any diastema. Of these the outermost, known in veterinary works as " corner teeth," are considered by zoologists as representing canines. The corner teeth or canines have been found in a considerable number of cases actually shaped like canines instead of like the incisors as usual. These teeth have been found presenting this modification in several degrees, but in order to gain a fair view of the matter it is necessary to read the evidence in its entirety. The facts given were founded on 18 animals, 15 ewes and 3 males [whether rams or wethers not stated]. In these 18 cases there were 28 individual teeth of abnormal form. Of these 14 were conical with a point either sharp or rounded ; 7 were conical with a bifid point ; 5 were cuneiform ; 1 was cylindrical with a surface shaped like an ass' hoof; 1 was pyramidal. In 8 specimens the abnormality was unilateral and in 10 it was bilateral, but in the latter the corner teeth of the two sides were frequently of differing forms [details given]. MOROT, Bull. Soc. med. vet., 1887, p. 166. Pig. No case of Variation in incisors met with. [This is perhaps singular in connexion with the fact that the Peccaries (Dicotyles) have i f .] *356. Dicotyles torquatUS (normally i'i) : two specimens having 3 2 i o Q 5 m one °^ them i" of the side having the extra tooth is deformed. o — o Another young skull of Dicotyles also had 3 incisors on left side. HENSEL, Sdugethiere Siid-Brasiliens, p. 94. Molars. 357. Horse: supernumerary molars exceedingly rare; case of such a tooth in left upper jaw, behind and in series with the others. GOCBAUX, AVc. med. vet., 1854, Ser. 4, i. p. 71, same case, figured by MAGITOT, I.e., PI. v. tix. 9. 246 MEKISTIC VARIATION. [PART I. *358. Ass: thoroughbred Spanish she-ass, in the Museum of the Royal College of Surgeons, has a large supernumerary molar on each side in series in the upper jaw, and a similar tooth in the left lower jaw. The ime skull has the first premolar also present on each side in the upper jaw, as is not unfreipjently the case in Equida?. All four canines are pre -. -nt as minute teeth. The dental formula for this skull is therefore .3_3 1__1 4 — 4 4 — 4 1 3Z~3 c fill P 3 — 3 m 4^3 35!l. Auchenia lama: specimen having a supernumerary (fourth) molar in the lower jaw [?on both sides]. This tooth was fully formed and re.s.-ml.led the normal last molar. In the upper jaw was a small alveolus behind ?/i3, for another tooth which was not present in the specimen. ItfiiMKVKR, L., Vers. eitier naturl. Gesc/tichte des Rindes, y.n /•"•//, i. p. .").), .\ nfe. 3(50. Cervus axis $ : specimen having a supernumerary grinder placed on the inside of the normal series on the left side of the upper jaw. In the lower jaw of the same specimen the following supernumerary teeth: (1) a small, compressed accessory tooth on both sides placed internally to w- ; and (2) behind the large three-fold sixth molar was a -mailer two-fold tooth which had caused a displacement of the 6th molar. hoxrrz, Sitzungab. d. iiaturf. Fr., Berlin, 1872, p. 54. 361. Cervus rufus : having supernumerary (4th) premolar on one side in lower jaw. HENSEL, Morph. Jahrb., v. p. 555. 362. Ox : supernumerary upper molar on left side. MAGITOT, /. c., p. 10G. Sheep: extra molar in left lower jaw, ibid., p. 105, PI. v. fig. 10. [?some error; the figure represents a normal jaw.] MARSUPIALIA. The facts given in illustration of Variation in the dentition of Marsupials relate only to a part of the subject and to selected forms. Some of the cases to be given are however of exceptional importance. Evidence is offered in reference to the following subjects: (1) Incisors. (2) Premolars, and the "Intermediate" teeth (in the lower jaw), of Phalangeridae. (3) Premolars and Molars of Dasyuridaj and Didelphyidae. (4) Molars of certain Macropodida1. The following cases of Variation in incisors are all that were met with in the Marsupials examined. I >n>K[,riiYii>.K : incisors normally ;', thus differing from the Dasv- uriiilel])hyidii' "is, on the whole, very closelv allied to the DaayuridfiB, from which, were it not for its isolated geographical i, it would be very doubtfully separable. " ( 'nt. Mnmtip. lirit. Mas., 1888, p. 815. CHAP. IX.] TEETH : MARSUPIALIA. 247 species 90 adult skulls seen having this number of incisors and three cases of abnormal number of incisors. Of these the first two must not be reckoned in estimating the percentage of abnormalities in a pro- miscuous sample, for Mr Thomas, who kindly shewed me these speci- mens, informs me that they were preserved and brought to the Museum expressly as abnormalities. The existence of these variations is never- theless particularly interesting in connexion with the exceptional number of incisors normal in DidKlpJtys. 363. Didelphys marsupialis : in right upper jaw six incisors ; left upper jaw and the whole lower jaw missing. B. M., 92. 11. 3. 28. 36-t. Another specimen has on the right side |- as usual, but on the left i -|. It appears that 71 and 7- of the two sides correspond, but on the left side three very similar teeth stand in series behind p. B. M., 92. 11. 3. 29. 365. D. turner! (= crassicaudata), Demerara. A single specimen of this species in collection. It has i .4 — 4 4—4' shew which of the upper incisors were missing. but there is no evidence to B. M. DASYURID.E : incisors normally ~; of genera other than ius, 63 normal skulls seen. Dasyurus sp., having only two incisors in left lower jaw; right lower jaw normal, upper jaws missing [doubtful case]. B. M., 250. Myrmecobius fasciatus: with incisors normal 4 whole skulls, Right n Right FIG. 62. Myrmecobius fasciatus. I. Right and left profiles of upper jaw of No. 366. II. Right and left profiles of the two jaws of No. 367. (Premaxillary teeth alone shewn.) 248 MKIM.-TM- VARIATION. [I'AKT 1. 5 skulls without Imver jaws, and 1 lower jaw without skull; ab- normal- '2. as follows : *3GG. A ynung skull having in the upper jaw on the left side i Fu. M! l.i two teeth, l)«-th apparently in place of left j^, making *3(i7. A specimen having four incisors in the right lower jaw, the 1. ft IH in- normal. IVrhaps the two hindmost of the four repre- - nt thi' thud lower incisor of the left side in the way suggested In the dotted lines iii the figure (Fig. 62, II.). B. M., 314, b. PIIAI.AM.I I.ID.K : incisors (neglecting "intermediate" teeth of lower jaw) normally £; this seen in 209 skulls of various genera and spec 3(J8. Fhalanger orlentalis, Solomon Islands : left f as an imperfectly double tooth, Laving two sub-cylindrical crowns and only one root (Fig. 63). The two crowns FK;. 63. Phalun'tn- uricntulis. No. 368. incisors and canines. The separate figure shews the left i3 extracted. stand in the same transverse plane, the one being internal to the other and rather smaller than it. Lower jaw missing. 13. M., 1936, c. [Two other skulls from same locality normal.] 369. ¥• maculatus, Port Moresby: only tico incisors on each side in the upper jaw. The centrals, ^, of each side, are in place; externally to them there is on each side an alveolus for a tooth, which, judging from the size of the alveolus, was probably F- Immediately behind these alveoli the canines follow on each side. In this case it uiav In- s.iM that the missing teeth are ^ in all probability. Lower jaw normal. B. M., T'.i. :',. :,. H. 370. Specimen having "in each upper jaw two incisors instead of three," [also has no left /_>!• see No. 377]. /<2 [and no upper first premolar, see No. 379]. B. M., 1943. THOMAS, 0.. < 'nt. !. Hi-it. Mn*., 1H88, p. 183. (2) Premolars, and the " fnteriin-il/ute" teeth (in the lower jaw) of PHALANOERID^E. The evidence here offered relates to the following genera:— J'/Hi/niiifcr. Triclinxiiriis, J'xcui/ocliirus, Petauroides, Dactylopsila and rcfinn-ii*. I'.efmv sjieaking of the variations seen, a few words are needed in explanation of the nomenclature adopted. CHAP. IX.] TEETH : PHALANGERID^E. 249 In these forms there is only one tooth having a milk-pre- decessor, and in all the genera here referred to this is a distinct and recognizable tooth, with a chisel-shaped crown. Following Thomas' system I shall call this tooth p* throughout. This name is used as being well understood and convenient, but without any intention of subscribing to the principles of homology upon which the system of nomenclature is based. In front of p* there is great diversity. In Thomas' paper1 a careful and well-considered attempt was made to bring these anterior teeth into a formal scheme of homo- logies, and though the application of this method to the teeth of the lower jaw was avowedly tentative, yet at first sight the results in the case of the upper teeth were fairly satisfactory. Nevertheless it appears to me that in view of the facts of Variation about to be related, the system elaborated by Thomas breaks down ; not because there is any other system which can claim to supersede it, but because the phenomena are not capable of this kind of treatment. To anyone who will carefully study the examples given in the following pages, especially those relating to the genus Phalanger, it will, I think, become evident that it is not possible to apply any scheme based on the conception that each tooth has an individual Homology which is consistently respected in Variation. The evidence concerns first the premolars of the upper jaw, and secondly the lower " intermediate " teeth. Inasmuch as in several of the cases there was Variation in both these groups of teeth, the evidence relating to them cannot well be separated. As regards the upper teeth, all the cases of importance occurred in Phalanger and Trichosurus, and owing to the similarity between the dentitions of these two genera it is not difficult to employ terms which shall be distinctive, though the question of the homologies of the teeth go unanswered. In all the forms concerned there are three upper incisors, and the tooth immediately succeeding them will be called the canine, though its position and form differ greatly in the various genera ; for while in Phalanger and Trichosurus it is a large caiiiiiiform tooth placed on the suture between premaxilla and maxilla, in Pseudochirus, for instance, it is proportionally smaller and stands in the maxilla at some distance behind the suture. Upper jaw. As already stated, the large preuiolar having a milk- predecessor will be called p*. In Trichosurus between the canine and p4 there is usually one large tooth, in shape and size much like the canine : this tooth will be called F1 as Thomas proposed. Though when present it is large, it is not rarely absent altogether (v. infra}. In Phalanger there is a similar p^, though of somewhat smaller size ; but besides 1^_ there is usually another premolar, a small tooth, placed between p^_ and P4. On Thomas' system this is F! and for purposes of description the name will be used here. In the left upper jaw of the skull shewn in Fig. 65 C, /, F1 and £» are 1 Phil. Trans., 1887, clxxviii. and Cat. Mai-sup. Brit. Mus. 250 M ERISTIC VARIATION*. [PART I. shewn in the ordinary state. Lastly, in Pseudochirus behind the canine th.-i'- i- .i v.-i y small tooth, presumably jj\ and between it and ;/ a tooth of i;i md size, presumably yA Low i- jaw. la the front of the lower jaw there is on each side one long inci-or. Between it and the tooth corresponding to y/ of the upper jaw there are several small or "intermediate" teeth, whose number varies greatly throughout the group. Thomas has made a provisional attempt to find homologies for these small teeth, but in view of the facts of their Variation it seems impossible to attribute indi\ idiiality to them and they will therefore be here merely numbered from before backwards. Phalanger orientalis. In this species evidence will be nt'l'i -I'd to prove the following facts:— ( 1 ) That between p^_ and p^ there may be two small teeth, one or both of which may perhaps represent /?:i (Fig. 65). (ii) That between p*_ and the small p'A there may be a Ian;.1 tooth (Fig. G-i, C), like the p* of Pseudochirus. (3) That ]P_ may be absent. (4) That in case of absence of p3 , Pl may be near to X (Fig. 64, A). ( ."> > That between the canine and p^ there may be on one side the usual large pl , but on the other two teeth, evenly spaced, each of about the proportions of X (Fig. 64, B^. (6) That in the lower jaw the number of intermediate teeth may vary from none to rive, three being the most usual number. *372. Specimen having left side normal, one small premolar standing be- t ween 7^' and F1. In the right upper jaw p^ is normal and stands at the same level as left ^ ; p^ is also normal in size, form and position (Fig. i',J Ci. In front of /'4 however there is a two-rooted tooth (marked y in the figure) having somewhat the same shape as p4, but about yji'ds the si/.e. This tooth has not the form of the milk-predecessor of p^. \ small peg-like tooth (.u in the figure) matching the small premolar ("P3") is also present, but is crowded out of the arcade and stands internal to the tooth //. The lower jaw has three intermediate teeth on each side. B. M., 1780, f. The form and position of the tooth // suggest a comparison with the arrangement in Pseudocltirus, in which "/'•: " is in a very similar condition. In Fig. 64, D, a profile of Pscn- chirnx is shewn, the dotted lines indicating the comparison suggested. It will thus be seen that if the tooth y corresponds to y/ of Pseudo- f/iiriix, the tooth .<• then has no correspondent. *37.S. Specimen (var. breviceps, Solomon Islands) having in right upper jaw pl and p* but no "j>3": in left upper jaw pl stands at a level anterior to that of right pl, and a small peg-shaped tooth, "/>3," is present close to and almost touching p4. (Fig. ('•4, A) Lower jaw, right side, two intermediate teeth, of which the posterior stands internal to ~p* ; right side three intermediate teeth. R M., 1JI.SO,/ CHAP. IX.] TEETH : PHALANGERID.E. 251 *374. Specimen (var. breviceps $ , Duke of York I.) having in rt. upper jaw p1 and p4, but no "/)3": in left upper jaw there are two teeth of the size and shape of pl (Fig. 04, B), one of them left profile " ri FIG. 64. Dentition of Phalanger orientalis. A. P. orientalis, No. 373, having no right "p5 " : left p1 in front of right p1. B. P. orientalis, No. 374 : no right "p3"; on left, two teeth both like pl, in symmetry approximately balancing right p1. Below are the right and left profiles of the upper jaws of this skull. C. P. orientalis, No. 372. The left side normal, lettered on THOMAS'S system. Eight side described in text. Below is a profile of right side. D. Pseudochinis, profile of normal upper teeth from right side enlarged to compare with C. Teeth lettered on THOMAS'S system. being at a level anterior to right pl and the other posterior to it (see figures). On neither side is there any tooth having the . . - . . £f W 7.~). SjM'cimi-n li.-iving two small premolars on each side between p^_ and £. Tin- two teeth are very small and sharply pointed (Fig. 65). In I IV FIG. 65. Teeth of Phalanger orientalis. No. 375. I. Premolars of left upper jaw, surface and side views. II. and III. Kight and left lower jaws as far as p4. IV. The same in surface view. (From a drawing kindly sent by Dr JENTIXK.) the lower jaw there are on the right side five intermediate teeth be- twi-i-n the inri-or and //<. and on the left side four such teeth (instead of three as tl-liali. /,•//•/. J///x., 104, JENTIXK, F. A., Notr.S L< '/'I. Max.. iss:., vii. .. no. i >f' the occurrence of small Premolars n ml Intermediate" f<'<-t/i in Phalanger orientalis Phalanger maenlatus. f37G. Phalanger orientalis. St;iti-tic< as to tlie absence of tin- Mnall ";>:t, " and as to the number of the "intermediate" ti«-th. may conveniently lie ^'ivi'ii to^'i'tln'1- in tabular ft inn. The species has u wide diMril>ution and is by TIHOIAS divided into a larger var. typiciix, and u smaller eastern var. lu'< r/i'c/ix. In the latter the small ]>'•' is usually absent. Tlie I.evdi n specimen^ an' not thus divided by JKNTIXK, and in order to include tin- statistics Kiveii la him (I. <-.) the distinction into two races is riot followed in the table. When present, "//:l" generally stands at an even distance from yi1 and y<4. as in the left side of Pig. M. (', and n«t as in the left side of Fig. 64, A. The CHAP. IX.] TEETH : PHALANGERID^E. 253 positions of the intermediate teeth are most various, sometimes they are evenly spaced out between pl and p4, but sometimes they are crowded together. The teeth in corresponding ordinal positions do not always stand at the same levels ou the two sides. Small upper No. of CASES. premolar intermediate ("P3) teeth in 1. j. j right ' , left i right 1 \ left Leydeii (Jentink) Other Museums Total _ _ 1 1 3 2 — _ 3 0 1 1 (No. 374) _ _ 1 3 1 1 2 3 1 1 2 _ — 3 3 3 2 5 _l_ _ 3 3 2 2 _ + 4 3 1 1 + + 1 2 1 1 _j. _l_ 2 2 2 2 4 + + 2 3 1 1 + _l_ 3 2 2 2 + + 3 3 44 6 50 (One of these is No. + + 3 4 1 1 372) _)_ + 4 3 1 1 2 2 5 4 1 1 (No. 375) 76 *377. Phalanger maculatus: in this species the small premolar ("p3") between upper p1 and p4 is generally absent, and in the lower jaw there are usually only two "intermediate" teeth. The following table shews the variations seen in 58 skulls and 7 lower jaws wanting skulls (including 43 l Leydeu skulls described by JENTINK, 7. c.). Small upper Intermediate CASES. premolar teeth in 1. j. . __ ^ right left Leyden (Jentiuk) Other Museums Total right left _ _ 1 1 2 1 3 + 1 Ir. jaw _ — 1 2 2 2 — — 2 1 2 3 + 2 Ir. jaws - - 2 2 27 1 8 35 + 4 Ir. jaws _ — 3 2 2 2 — — 3 3 2 2 1 In one of these 1. ^ + - 2 3 1 1 absent (see No. 370) — + 3 3 1 1 + + 2 1 1 1 + + 2 3 1 1 + + 3 2 2 2 + + 3 3 2 1 4 + + 4 3 1 1 58 1 Not including the case, Leyd. Mus., 153 (Jentink, /. c., p. 91), in which the " small" upper premolar is stated to be absent as an abnormality. As p3 is usually absent in the species, probably this refers to p1. 254 MUMSTIC VARIATION. [PART i. The above includes six Rkulls from Waigiu, the individual peculiarities of which aii- ^ivi-n In-low : _ 3 3 1 1 — + 3 3 1 1 li. M., 151. 12. 11. 18. + + •2 3 1 ^ + + 8 2 1 1 + + 3 3 1 1 Ji.M., 01. 1-2. 11. 17. + + 1 3 1 1 The great variability of these skulls from the island of Waigiu is very remarkable. The 4 Leyclen specimens were described by JEX- TINK'. In one of these there was besides no left upper 2nd molar, which was entirely absent without trace, leaving a diastema between ///' and w3. In connexion with the variations of the dentition of P. iitin-nlatus in Waigiu the following singular circumstance should be mentioned. In all other localities the male P. iu} was absent altogether. C. M., 14 £ and /. Nevertheless in every case in which this tooth is present it is a large tooth of about the size of the canines. In one case ^ is two-rooted on each side, as (THOMAS, Cat. Marwp., p. ISO) in the Celebesian Phalan- ger wainv*. C. M., 14 a, Hobart Town, Tasmania. Of the "intermediate" teeth in lower jaw one only is usually present, being I The small premolar was accidentally described in the paper referred to as being between tin- ,-,/;,/>„• and p4, instead of 1,( t\\r, n the anterior premolar aud /*4 JKNTINK, in tin. - Coini.ai. the converse case of Hepialus humuli (tlu- Glmst Moth), of which. II """ ' localities, the males are «-lear \\liite ,-ui.l the females are li"ht yellow- brown with spots; l,,it in the Shetland Islands tlu- males are like the females :'li in NHI-VIM- degrees. See JKNM.K Wi.n;. Ent»in<.l,>;ii*t. IssO, p. 251, PI CHAP. IX.] TEETH : DASYURID^E. 255 close to the large incisor. In two cases (C. M., 15 17 and h, prob. both Australian) there are two intermediate teeth, one near the incisor, the other near ^. 379. Pseudochirus. Of various species 2!) skulls shew no numerical variation in upper series. The number of "intermediate" teeth in lower jaw is very variable, '2 on each side being the most frequent, but 1 and 3 being also common. P. pere- grinus, Upper Hunter K., B. M., 41, 1182, has 2 intermediate teeth in left lower jaw, but on the right side one partially double intermediate tooth. (See also No. 371.) Petaurus : 25 skulls shew no numerical variation in upper series. In this genus the number of small teeth in the lower jaw is remarkably constant. In addition to ^ there were 3 small teeth on each side in 380. all cases seen except two, viz. — P. breviceps var. papuanus (8 normals): right side normal; left lower jaw has 4 teeth besides J74 (Fig. 66). B. M., 77. 7. 18. 19. Right Lyt FIG. 66. Petaurus breviceps, No. 380. Lower jaws in profile: on right side three intermediate teeth, on left side four. 381. Another specimen has, in addition to p*,four small teeth in each lower jaw. There is a small diastema between the 3rd and 4th. B. M., 42. 5. 26. 1. [no skull]. 382. Dactylopsila trivirgata : 3 specimens have upper series normal. In addition one has an extra tooth in left upper jaw between F1 and canine. This tooth somewhat resembles but is rather smaller than the canine, near and slightly internal to which it stands [? reduplicated canine]. B. M., 1197, d. (3) Premolars and molars of Dasyuridse and Didelphyidse. Thylacinus, 19 normals; Sarcophilus, 9 normals, no abnormal known to me. Dasyurus, 37 normals (4 species). 383. D. geoffroyi : specimen in which p4 in right lower jaw has its crown partially divided into two, the plane of division being at right angles to the jaw. C. M., 39, «. 256 MKIMSTH1 VARIATION. [PART i. D. viverrinus : right upper m* slightly larger than the left, which is normal. (..'. .M., .'is, n comparing the abnormal skull with a normal one it is seen that the two pivnmlars and first three molars on each side are unchanged. IVhind the third molar on the right side there is a single tooth; but this, instead of being a thin tooth like normal »'', is considerably larger and the longitudinal measure- ni' ni in the line of tile jaw is not very much less than the transverse measurement. In the right upper jaw therefore the iiim/licr of the teeth is unchanged. On the left side, behind the third molar, there is a square tooth (/"') of good size, about equal in bulk to half »' , while behind this again there is another tooth, m^, which is a thin CHAP. IX.] TEETH : DASYURID^E. 257 and small tooth having nearly the form and size of normal w*. The lower series is alike on both sides, each having an extra molar behind w* (Fig. 67, C). The two extra teeth are well formed, being as long but not quite so thick as m*. B. M., 41, 12, '1, 3. In Cat. Marsup. Brit. Mus., 1888, p. 265, note, THOMAS refers to this skull, and describes it as an instance of an additional molar inserted between in* and in* on the left side above and on both sides below. This view is of course based on the resemblance that the extra ?«_5 of the left side bears to a normal m? and on the fact that the left «^ is like no tooth normally present. In the light however of what has been seen in other cases of super- numerary molars a simpler view is possible. For in cases in which a supernumerary molar is developed behind a molar which is normally a small tooth, the latter is frequently larger than its normal size. In the present case it appears that on the right side ™4 has been thus raised from a small tooth to be a tooth of fair size, while on the left side the change has gone further, and not only is «^_ promoted still more, but a supernumerary ™?_ is developed as well. It is interesting to note that this «^ is a small tooth, very like normal ?^4, and it thus may be said to be beginning at the stage which m^_ generally reaches. In the lower jaw n& is added without marked change in m4" ; for m4 is normally a large tooth and has, as it were, no arrears to be made up. Mr Thomas, to whom I am indebted for having first called my attention to this remarkable case, allows me to say that he is prepared to accept the view here suggested. Phase ologale. In the upper jaw normally 3 premolars, by Thomas reckoned as p\ p3 and p*. Between the first and second ("p3") there is sometimes, but not always, a small space, and in the following case a supernumerary tooth was present in this position. 386. Phascologale dorsalis, (Fig. 68) having an extra premolar between the first and second in the left upper jaw: rest normal. B. M., 1868, b. THOMAS, O., Phil. Trans., 1887, p. 447, PI. 27, figs. 7 and 8. In the lower jaw ]T4 is often small and may be absent. As Thomas has observed, the size of p4 in the upper and lower jaws maintains a left ri-Cfht reversed FIG. 68. Phascologale dorsalis, No. 386. Teeth of left upper jaw from canine to first molar; below, the teeth of the right side reversed (after THOMAS). B. 17 L>58 MEKISTIC VARIATION. [PART i. fairly regular correspondence. Within the limits of one species p* may 387. shew great variation : for instance, of Phascologale flavipes 7 -pecimens were seen : in 1 JT1 was absent, in 2 it was small, in - mode- i-atf, and in '2 it wa- large. 388. Didelphys: 7!l specimens normal. One specimen alone, D. lanigera, Colombia. M.. IT.'W, /), was abnormal, having no m* in either upper or lower jaws. D. opossum (one specimen, B. M. ) had right m^ larger than the left. (4) Molars of certain Macropodidae. Tin- following evidence relates to the genera Bettongia, Pot on m* :ind Lui/orcJtestes. Tn these forms the molars are normally four in each ju\v. As THOMAS observes (Oat. Marsup. Brit, ^fus., p. 10~>, /,<,/• ), in /-'- //mii/ia cases of tifth molar occur, but on the other hand cases of non- eruption of m4 occur also. The variations seen in the three genera were as follows. 4 _ 4 Bettongia penicillata : s specimens have m . ; in 7 of them • ///' i- Mnall (in B. M., 279, j, "^ is very minute; but in B. INI., 27S, in, the lo\\er ,,,i is large). '.'!s!>. 1 specimen J has m* in left lower jaw only, this tooth being small. B. .A I., L'7!>, rt. 1.2.3.0.5 — 1.2.3.0.0 :;;»0. 1 spcfimcn has mT — =— _. In both upper laws 1.2.3.4.5 — 1.2.3.4.5 tin-re is a small empty crypt behind m3, and on right side behind this M-MJII there is a minute tubercular tooth not represented on the other side. |J. M., L'79, b. 4 _ .4 B. cuniculus : 2 specimens have m j 1 specimen lias no left m*. B. M., 982, C. g _ g 1 specimen lias m- -- = ; in upper jaws m5 very small in crypts, but D — 0 in lower jaws they are of good size. B. M. 51. 4. 24. 7. 4 _ 4 B. lesueri : 13 specimens have m - (in one of them m4 very small. B. M., 277, 7. 4 _ 4 Potorous (Hypsiprymnus): /// ; in 5 specimens of P. tri- ,1,1,'1,/lns ; mid in 2 of 1'. />//*,, >*. A single specimen of P. gilbert! has no right, upper ///'. B. M., 2^2, b. Lagorchestes. In tlii- ^enns ///•• is present and is a large tooth, not materially smaller than //* :;. Nc\»-rtheless it commonly falls short "f 'lie nther teeth and remains partly within the jaw. This was the case in 1<> skulls of /,. 1,'1,,,,-oiilfx and L. i-t>itxj>!r!//t,,;i polyod&n, but it is by nu means unlikely that it ni n i \ \, . 69. i |<)i< r ti^urr : Rhinoptera jussieui, No. 39(5, after SMITH WOOD WABD, from \vliciiii tin- li'ttrriiij.' is rnjiied. Mi'Ml'1 ii"uir, Rhinoptera, sji.. No. H97. Lo\\( i ti^'urc Khinoptern j'li'iiiiicii, No. :v.)8, after OWEN. is aetualK a Variation derived from the usual formula of Rhino- ptera. It is figured by (Ji'-NTiiKi:. tftmli/ <>f Fishes, 1SSO, p. 34(3. Fig. 133. *-'!!'7. Rhinoptera sp. ineerl.: teeth as in middle diagram, Fig. 69. On the left side ////•"' i-oNvs of small lateral teeth, while on the right siile t \\o of the^e ro\\ s are represented liy one row, \vhieh in one part of t Ill- series s!ie\\ - an indieation of division. (.'. S. M. (llunt'-f'uni S]»'cime)i). CHAP. IX.] TEETH : SELACHII. 261 Rhinoptera javanica : the row of teeth marked I is one side single, but on the other side is represented by two rows. Fig. 69, lower diagram. OWEN, Odontography, PI. 25, Fig. 2. C. S. M. (Hunterian specimen}. 399. Cestracion philippi : an upper jaw having the teeth disposed as in the figure (Fig. 70). C. S. M. FIG. 70. Upper jaw of Cestracion philippi, No. 399. On comparing the teeth of the two sides it will be seen first that the rows do not correspond individually, and secondly that they do not at all readily correspond collectively. Assuming that the rows marked 4 on each side are in correspondence (which is not by any means cer- tain) several difficulties remain : for right 5th is larger than left 5th, but left 6th and 7th together are larger than right 6th; right 7th is about the same size as left 8th, but right 8th is larger than left 9th. The proportions in the figure were carefully copied from the specimen. 400. " Cestracion sp." [so labelled, but probably not this genus] : lower jaw as in Fig. 71. On the right side the second row of large plates is represented by two rows, properly fitting into each other, but on the left side the plates of the inner side are completely 202 M I i I ; I -TIC VARIATION. [I'AKT I. divided, but tin- di\i-i..n is gradually lost towards the middle of the ja\v ami tli.- .'Menial plates are without trace of division. C. 8. .M. l'i<.. 71. The lower jaw of a Selachian, No. 400. The proximal ends shewn (enlarged). The right is reversed for comparison with the left. OF A GASTEROPOD. The following e.N.-nnple of Meristic Variation in the teeth of a Mnlluscnn odmituphore may be taken in connexion with the subject of teeth, though the structures are of course wholly different in nature. For information on this subject I am in- debted to the Rev. A. H. COOKE. ( leu. -rallv speaking the number and shapes of the radular teeth ait- \er\ characteristic of the different classificatory divi- There arc however certain forms in which a wide range -..ns. of Variation is met with; of these the case of Buccinum inidatum is the most '401. Buccinum undatum. In most specimens the number of denticles "n ih<' central plate is ."> — 7 and on the laterals 3 — 4. In -1 -ecinicns from Haniiiierfest and Vardo the teeth were Lateral plates. Cases. 4 8 4 12 4 2 4 1 4 1 3 & 4 1 3& 4 1 4 & :» 1 . Ges., vi. 1879, p. 2:>7. Central plate. 5 6 7 6—8 9 (i 7 8 from FKIKLE, Julu-L. ., 1882, vm. p. 27, Taf. v. fig. 17. CHAPTER X. LINEAR SERIES — continued. TEETH — RECAPITULATION. IN this chapter I propose to speak of those matters which seem to have most consequence in the foregoing evidence as to the Variation of Teeth. Each of the following sections treats of some one such subject, specifying the cases which chiefly illustrate it. It will be understood that the sections do not stand in any logical collocation but are simply arranged consecutively. The treatment given is of course only provisional and suggestive, being intended to emphasize those points which may repay investigation. The subjects which especially call for remark are as follows : (1) The comparative frequency of dental Variation in differ- ent animals. (2) Symmetry in Meristic Variation of Teeth. (3) Division of Teeth. (4) Duplicate Teeth. (5) Presence and absence of Teeth standing at the ends of series (first premolars, last molars). (6) The least size of particular Teeth. (7) Homoeotic Variation in terminal Teeth when a new member is added behind them. (8) Reconstitution of parts of the Series. (1) The comparative frequency of dental Variation in different animals. The total number of skulls examined for the purpose of this inquiry was about 3000. From so small a number it is clearly impossible to make any definite statement as to the relative frequency of Variation in the different orders, but some indications of a general character may be legitimately drawn. First, the statistics very clearly shew that while dental Varia- tion is rare in some forms, it is comparatively frequent in others, but there is no indication that this frequency depends on any condition or quality common to these forms. Setting aside examples of the coming and going of certain small and variable 2GG MKKISTIC VARIATION. [PART I. teeth, the animals shewing the greatest frequency of extra teeth were the domestic Dogs, the Anthropoid Apes and the Phocidae. Attention is especially called to the fact that the variability of domestic animals is not markedly in excess of that seen in wild forms. From tlu- hypothesis that Variation is uncontrolled save bv Selection, there has sprung an expectation, now fast growing into an axiom, that wild animals are, as such, less variable than domesticated animals. This expectation is hardly borne out by t In- tads. It is true that, so far as the statistics go, supernumerary teeth were more common in domestic Dogs than in wild Canidae, and though the number of Cats seen was small, the same is true in their case also as compared with wild Felida1. But though it is true that the domestic Dog is more variable in its dentition than wild Dogs, it is not true that it is much more variable than some other wild animals, as for instance, the Anthropoid Apes or the genus I'liin-'i. Tin- doctrine that domestication induces or causes Variation is one which will not, I think, be maintained in the light of fuller evidence as to the Variation of wild animals. It has arisen as the outcome of certain theoretical views and has received support from the circumstance that so many of our domesticated animals are variable forms, and that so little heed has been paid to Variation in wild forms. To obtain any just view of the matter the case of variable domestic species should be com- pared \\ith t hat of a species which is variable though wild. The greal variability of the teeth of the large Anthropoids, appearing n»t merely in strictly Meristic and numerical Variation, but also in frequent abnormalities of position and arrangement, is striking both when it is compared with the rarity of variations in the teeth of other Old World Monkevs and the com i>« rut ire rarity of great variations even in Man. If the Seals or Anthropoids had been domesticated animals it is possible that some persons would have n in their variability a consequence of domestication. When the evidence is looked at as a whole it appears that no genera I i/at ion of this kind can lie made. It suggests rather that the variability of a form is, so far as can be seen, as much a part of its specific characters as ;iny other feature of its organization. Of such frequent Variation in single genera or species some curious instances are to be found among tile facts given. Of Canis cancrivorus, a S. American Fox, the majority shewed some abnormality. Of Felis fontanieri, an aberrant Leopard, two skulls only are known, both showing dental abnormalities. In Seals only four cases of reduplication of the first premolar were seen, and of these two were, in Ci/*t»j>!i<>r, Simla satyrus No. 106, Dasyurus maculatus No. 385, E. « si i, us No. -'!">2. ( M < :; ). I )..•„' \o. 257, Bettonyia cuniculus, No. 392, Ateles margi- natua No. 203,PAoca burbata No. 318, Ommotophocarossii No. 320. ( )t these, further examples may be seen in the evidence given the anterior premolars of Galictis barbara, Meks, and Herpent( (3) Division of Teeth. Among the cases of increase in number of teeth are many in which l.y ili.' appearances presented it maybe judged that two teeth in the varying skull represent one tooth in the normal, and have arisen l.\ the division of a single tooth-germ. < H such division in an incomplete form several examples have been given. The plane of division in these cases is usually at right angles to the line of the jaw, so that if the division were complete', tin- two resulting teeth would stand in the line of the arcade. Incomplete division of this kind is seen in the first pivmolar of UniiiKifnjiIinca rossii No. 320, in the fourth premolar of /'//or,/ iim-iil.inillca No. 324, in the incisors of Dogs No. 219, in the canine of Dog No. 221, in the lower fourth premolar of Das i/ a r us f/eo/ro>/i No. 383. The plane of division is not however always at ii-lit angles to the jaw, but may be oblique or perhaps even parallel to it, though of the latter there is no certain case. < lases of division in a plane other than that at right angles to the jaw are seen in ('. n/ljtes No. 230, Phalanger oriental-is No. 368, Pit <>ca yru'iil\\c\\ teeth and those extra teeth which stand in series. Duplicate teeth were seen in Felis domestica Nos. 286 and 2s7, t'anis mcsniHc/nx No. 22s. HcrjH'stt'ti ichneumon No. 300, [Pntoi-iiis] I'isuii Inirstii'lilH. No. 311, Helictis orientalis No. 312, ( 'i/sfii/il/nr/i i'1-istiit't No. 322, and perhaps in some other cases. That these cases are not separable on the one hand from examples of e\tra teeth in series may lie seen from Herpestes gradlis No. 2!»!>, rd crisfiifii No. 321 [compare with No. 322], Braclnjteles CHAP, x.] TERMINAL TEETH. 269 hemidactylus No. 199 [compare with Ateles marginatus No. 200], Phoca vitidina No. 336 ; and that on the other hand they mergf into cases of supernumerary teeth standing outside or inside the series, and whose forms do not correspond closely to those of any tooth in the series, may be seen by comparison with Otaria ursina No. 325, Phoca vitidina No. 329, Phalanger oriental™ No. 372. Though in some cases the shapes of duplicate teeth make a near approach to the shapes of normal teeth, yet they are never exactly the same in both, and teeth whose forms approach so nearly to those of other teeth in the series as to suggest that they are duplicates of them and that they may have arisen by multipli- cation of the same germ, cannot be accurately distinguished from extra teeth whose forms agree with none in the normal series. (5) Presence and Absence of Teeth standing at the ends of Series (first premolars, last molars): the least size of particular TeetJi. Of the cases of numerical Variation in teeth the larger number concern the presence or absence of teeth standing at the ends of Series. As was mentioned in introducing the subject of dental Variation, in many heterodont forms the teeth at the anterior end of the series of premolars and molars are small teeth, standing to the teeth behind them as the first terms of a series more or less regularly progressing in size. Not only in teeth but in the case of members standing in such a position in other series of organs, e.g. digits, considerable frequency of Variation is usual. Variability at the ends of Series is manifested not only in the frequency of cases of absence of terminal members, but also in the frequency of cases of presence of an extra member in their neigh- bourhood. An additional tooth in this region may appear in several forms. It may be a clear duplicate, standing at the same level as the first premolar (e.g. Cat, No. 270). On the other hand, as seen in the Dogs (Nos. 232 and 233) there may be two teeth standing between the canine and (in the Dog) the second pre- molar. The various possibilities as to the homologies of the teeth may then be thus expressed. The posterior of the two small teeth may correspond with the normal first premolar, and the anterior may be an extra tooth representing the first premolar of some possible ancestor having five premolars; or, the first of the two premolars may be the normal, and the second be intercalated (see No. 224) ; or, both the two teeth may be the equivalent of the normal first premolar ; lastly, neither of the two may be the precise equivalent of any tooth in the form with four premolars, Of these possibili- ties the first is that commonly supposed (HENSEL and others) to most nearly represent the truth. But the condition seen in cases where there is an extra tooth on one side only, as in the Dogs figured (Fig. 42), strongly suggests that neither of the two teeth strictly corresponds with the one of the other side. Seeing that in such cases the single tooth of the one side stands often at the level 270 MEUISTIC VARIATION. [PART i. of the diastema on the other, it seems more likely that the one tooth balances or corresponds to the two of the other side, which may be supposed to have arisen by division of a single germ. On the other hand since the two anterior premolars found in such cases are not always identical in form and size, either the anterior "i- the posterior being commonly larger than the other, there is no strict criterion of duplicity, and it is clearly impossible to draw anv sharp distinction between cases of duplicity of the first pre- molar and cases in which the two small premolars are related to each other as first and second. These two conditions must surely pass insensibly into each other. If the case of the teeth is com- pared with that of any other Linear series in which the number of members is indefinite, as for example that of buds on a stem, the impossibility of such a distinction will appear. A good illustration of this fact may often be seen in the arrangement of the thorns on the stems of briars. For large periods of the stem both the angular and linear succession of the thorns of several sizes may be exceed- ingly regular; but it also frequently happens that a thorn occurs with two points, and on searching, every condition may sometimes be found bet \\eeii such a double thorn and two thorns occurring in series, having between them the normal distinctions of form or si/e. Very similar phenomena may be seen in the case of the strong dermal spines of such an animal as the Spiny Shark (Erlii- norhinus .--/*///o.s-//.s-). These structures are of course from an anato- mical standpoint closely comparable with teeth. In them, spines obviously double, triple or quadruple, are generally to be seen scattered among the normal single spines, but between the double condition and the single condition, it is impossible to make a real distinction. The remarks made. as to the first premolars apply almost equally to the last molar. See Phoca vitulina No. 336, Mycetes niger N<». -<>i;. Man. MACJITOT, Annm. syst. dent., PI. v. figs. 4, 5 and (i. Canis cancrivorus Nos. 251 and 252, Crossarckus zebra No. 302. Hi) T/tc Icasf xize of particular Teeth. What is the least size in which a given tooth can be present in a species \\hidi sometimes lias it and sometimes is without it ? In other \\onis, what is the least possible condition, the lower limit of the existence of a given tooth ? This is a question which must suggest it-e|f in an attempt to measure the magnitude or Dis- continuity of numerical Variation in teeth. The evidence collected does not actually answer this question completely for any tooth, but it shews some of the elements upon which t lie answer depends. In the lirst place it is seen at once that the least size of a tooth is different for different teeth and for different animals. CHAP, x.] LEAST SIZE OF TEETH. 271 Considered in the absence of evidence it might be supposed that any tooth could be reduced to the smallest limits which are histo- logically conceivable ; that a few cells might take on the characters of dental tissue, and that the number of cells thus constituting a tooth might be indefinitely diminished. Indeed on the hypothesis that Variation is continuous this would be expected. Now of course there is no categorical proof that this is not true, and that teeth may not thus occur in the least conceivable size, but there is a good deal of evidence against such a view. The facts on the whole go to shew that teeth arising by Variation in particular places, at all events when standing in series in the arcade, have a more or less constant size on thus appearing. Within limits it seems also to be true that the size in which such a tooth appears has in many cases a relation to the size of the adjacent teeth and to the general curves of the series. For example in the Orang, the scries of molars does not diminish in size from before backwards, and extra molars when present are, so far as I know, commonly of good size, not wholly disproportionate to the last normal molar. The same is I believe true in the case of the Ungulates. In the Dogs however the series of lower molars diminishes rapidly at the back, and the extra molars added at the posterior end of the series are of a correspondingly reduced size. As presenting some ex- ception to this rule may be mentioned two cases in the Chimpanzee, Nos. 178 and 181 and the case of Cebus robustus No. 19-i, in each of which the extra molar is disproportionately small. The principle here indicated is of loose application, but speaking generally it is usual for an extra tooth arising at the ends of series to be of such a size as to continue the curves of the series in a fairly regular way. It would at all events be quite unparalleled for an extra tooth arising at the end of a successively diminishing series, as the Dog's lower molars, to be larger than the tooth next to it, and with the exception of cases of duplicate anterior pre- molars (see Dogs Nos. 232 and Cat No. 268) I know no such case. In these besides, the anterior tooth is very slightly larger than its neighbour, and it should be remembered that the first premolar, though the terminal member of the series of premolars, is not actually a terminal tooth. Examples have been given of animals which seem to be oscil- lating between the possession and loss of particular teeth, the first premolar of the Badgers, p^ of some species of Otter, &c. In these cases we are not yet entitled to assume because in a given skull the tooth is absent, that it has never been formed in it, though this is by no means unlikely, but as already pointed out (p. 228), the fact of its presence or absence may still indicate a definite variation. Attention should be called to the case of Trichosurus vulpecula, var. fnliginosa No. 378, in which the first premolar is generally of good size if present, and there can be no doubt that it has never been present in those skulls from which it is absent. -7 '2 M ERISTIC VARIATION. [PART i. Variation of unusual amplitude may be seen also in the molars df lii-tttnivi, &c., for while on the one hand the last or fourth mi ilar may In- absent, it may on the contrary be large and mav even l)i- succeeded by a fifth molar as an extra tooth. All i lies,- conditions were seen in looking over quite a small number <»f -pel-miens. ( 7 ) Il"/noeotic Variation in terminal Teeth ivlien a new member is milled bt'liinil thnn. (']><>n tin- remarks made in the last Section the fact here M. .tired naturally follow-. We have seen that there is a fairly constant relation between the size of extra teeth and that of the teeth next t«> which they stand, so that the new teeth are as it w.re, from the first, of a size and development suitable to their position. We have now to notice also that the teeth next to which the\- stand ma\ al-o undergo a variation in correlation with the presence of a new tooth behind them. It may be stated generally that if the tooth which is the last ..f a normal series is relatively a small tooth, as for example m? or •"- in the Dog, then in cases of an addition to the series, by which this terminal tooth becomes the penultimate, it will often (though not always) be found that this penultimate tooth is larger and I" M.I developed than the corresponding ultimate tooth of a normal animal of the same size. Of this phenomenon two striking examples (q. v.) have been given, ('(mix azane No. 249 and Dasyurns maculatus No. 385. I '.. sides these are several others of a less extreme kind e.g. Otocyon meyalotis No. 250, Mastiff No. 259, Dog No. 260. The same was also seen in the molars of Bettongia. This phenomenon, of the enlargement of the terminal member of a series when it becomes the penultimate, is not by any means confined to teeth ; for the same is true in the case of ribs, digits, &c., and it is perhaps a regular property of the Variation of Meristic Series s.. graduated that the terminal member is comparatively .-mall. This fact will be found of great importance in any attempt to realize the physical process of the formation of Meristic Series, and it may be remarked that such a fact brings out the truth that the members of the Series are bound together into one common u hole, that the addition of a member to the series may be cor- related with a change in the other members so that the general configuration of the whole series may be preserved. In this case the new member of the series seems, as it were, to have been reckoned for in the original constitution of the series. (8) Reconstit^on of "parts of the Series. Lastly there are a few cases, rare no doubt in higher forms but not \ery uncommon for example in the Sharks and Rays (see CHAP, x.] TEETH : HOMOLOGIES. 273 pp. 259, &c.), in which the members of the series seem to have been so far remodelled that the supposed individuality of the members is superseded. In the Selachians several such cases were given, but in Mammals the most manifest examples were seen in the Phalangers and Ateles marginatus No. 200 (q.v.). In the latter specimen there were four premolars on each side in the upper jaw, and there was nothing to indicate that any one of them was super- numerary rather than any other. In such a case I submit that the four premolars must be regarded as collectively equivalent to the three premolars of the normal. The epithelium which normally gives rise to three tooth-germs has here given rise to four, and I believe it is as impossible to analyze the four teeth and to apportion them out among the three teeth as it would be to homologize the sides of a triangle with the sides of a square of the same peripheral measurement. Such a case at once suggests this question : if the four premo- lars of this varying Ateles cannot be analyzed into correspondence with the three premolars of the typical Ateles, can the three pre- molars of this type be made to correspond individually with the two premolars of Old World Primates ? In the case of Rhinoptera No. 396, for the reason given in describing the specimen, there is plainly no correspondence be- tween the rows of plates of the variety and those of the type, and the rows are, in fact, not individual, but divisible. Though cases so remarkable as that of Ateles marginatus are rare, there are many examples of supernumerary teeth, in the region of the anterior premolars of the Dog or Cat for instance, which cannot be clearly removed from this category. As indicated in the fourth section of this Chapter, it is impossible to distinguish cases of division of particular teeth from cases of the formation of a new number of teeth in the series. Finally, on the analogy of what may be seen in the case of Meristic Series having a wholly indefinite number of members, it is likely that the attempt thus to attribute individuality to members of series having normally a definite number of members should not be made. B. 18 CHAPTER XI. LINEAR SERIES — continued. .M [>< HLLANEOUS EXAMPLES. Ix this chapter are given some miscellaneous examples. Most of them illustrate the Meristic Variation of parts standing in bilateral synnnrtry on either side of a median line. Here also are included certain cases of Variation concerning the series of apertures in the shell of Haliotis, though probably they are of a wholly different nature. SCALES. Among animals possessing an exoskeleton composed of scales, the number of the scales or of the rows of scales found in par- ticular regions is usually more or less definite. So constant are these numbers in their range of Variation that in both Reptiles and Fishes either actual numbers or certain ranges of numbers are made use of li>r purposes of classification, Considerable Variation in these numbers is nevertheless well known, and many instances are given in works dealing with Keptiles or Fishes. The following cases are given as illustrations of soim of the larger changes which may occur. 403*. Clupea pilchardus (the common Pilchard). Among the Pilchards brought to the curing factories at Mevagissey, Corn- wall, specimens have from time to time been found by Mr Mathias Dunn, the director, having the scales of one side very many more in number than those of the other side. Two specimens1 shewing this abnormality were given to me by .Mr Dunn in IMS!). Owing to the fact that the fresh Pilchards are shovelled wholesale into the brine-vats, it is not until the fish are picked over for packing after the salting process that any individual peculiarities are 1 Tin -•• .-]irrmi. ns ;uv iinw in tin- Mnsi'uni of the Koyal College of Surgeons. An account of tlinn \v;is puMi^icd in /'. /. ,S., Is90, p. 586. Figures of the same variation were given by DAY, ¥., P. Z. .S'., 1887, p. 129, PI. xv. CHAP. XL] PILCHARD: SCALES. 275 noticed. This was the case with the present specimens, which were given to me as they came salted from the presses. Never- theless when received they were in fairly good condition. The first specimen measured 8 in. to the base of the caudal fin. The head and opercula were normal on both sides. The number of scales along the lateral line or the left side is 32 and the number on the right side is 56 or 57. On the left side the scales have the size usually seen in Pilchards of this length, and on the right side for a distance of about an inch behind the operculum the scales are not much smaller than those of a normal Pilchard, but behind this point each scale is of about half the normal size. The second specimen has a very similar length. It differs from the first in having the reduplication on the left side in- stead of on the right. Furthermore the scales are normal in size as far as the level of the anterior end of the dorsal fin, behind which place they are of about half the normal size. The transi- tion in this specimen is quite abrupt. The scales had been somewhat rubbed, and the counting could not be very accurately made, but the total number along the left lateral line was approximately 48. As these abnormal individuals were taken with the shoal there can be little doubt that they were swimming with it. In P. Z. S., 1887, p. 129, PI. xv. DAY described a specimen, also obtained from Mr Dunn, exhibiting characters similar to those above described. The number of scales along the lateral line is given as 32 on the right side and 51 on the left. In the figure no transition from normal to abnormal scales is shewn, but there is a general appearance of uniformity. Mr Day regarded this specimen as a hybrid between the Herring (C. harenyus) and the Pilchard, and before adopting the view that the case is one of Variation this suggestion must be discussed. This view was chiefly based on the presence of the small scales on one side, but it is added that the ridges on the operculum, which are characteristic of the Pilchard as compared with the Herring, were better marked on the right side than on the left, though they are stated to have been very distinct on the left side also. In the specimen described, the gill-rakers were 61 in the "lower branch of the outer branchial arch" (viz. the bar consisting of the first hypobranchial and ceratobranchial), and it is mentioned that this number is intermediate between that found in a Pilchard (71) and in a Herring (48); but whether this intermediate number was found on the side shewing the " Herring characters, or on the other, or on both, is not stated. These gill-rakers are also said to have been intermediate in length between those of a Pilchard and those of a Herring. From these points of structure Mr Day concludes that the specimen was a hybrid between the Herring and the Pilchard. As against the theory that these specimens are hybrids it may be remarked that no direct evidence is adduced which points to hybrid parentage. The suggestion is derived from (1) the condition of the 18—2 270 MERISTIC VARIATION. [PAUT i. scales, (2) the number of the gill-rakers, (3) the alleged difference in tin- opercida of the two sides. In view of the first point, viz. that the number of the scales mi one side is intermediate between that of the I'il.-lianl and that of tin- Herring, it seemed desirable to know whether the rc-endilance extended to the minute structure of the scales or was r-.-ti-i.-ted to their mnnlier only. < >n comparing microscopically the scales of tin- Pilchard and the Herring, I find that those, of the H'-ning bear eonceiitric lines which are almost always smooth and without serration^. while those of the Pilchard are marked with lines whii-h are waved into very characteristic crenelated serrations. On comparing the -rales which are repeated, it was found that they also shew these characteristic serrations and that in pattern they differ in nowise from the scales of the Pilchard. This evidence appears to tell very vtrungly against the theory that the small scales are derived from a 1 lei ring parent. The evidence from the gill-rakers seems to be also unreliable. In a normal Pilchard Mr Day found 71 on the hypo- and cerato-branchials • if the first gill-liar, and in a specimen examined by me 72 were present and in normal Herrings 48. But in my two specimens shewing the repeated scales tin-re were present, on the normal sides 79 and 67 respectively, and on the abnormal sides 78 in the one fish and 67 in the other. In si/.e and shape the gill-rakers were like those of the Pilchard, being smooth, and unlike those of the Herring, which bear well-marked teeth. AJB it is stated that the serrations characteristic of the operculum of the Pilchard wen- very distinct on the abnormal side, it is impossible to lay much stress on the circumstance that they were less distinct than those of the other side. In addition to the considerations given above, there are several a /iriori objections to the hypothesis of the hybrid origin of these forms ; as, for example, that unilateral division of parental characters is certainlv not a common phenomenon in hybrids, if it occurs at all, and so on. l>ut since the evidence advanced for the theory of hybrid parentage is already open to criticism, it is perhaps unnecessary to discuss these further ditliculties. On the whole, therefore, it seems simpler to look on these abnormalities as instances of the phenomenon of Meristic Variation1. In Ophidia the number of scales occurring in different parts of the body is constant in smut- genera and specie*, and variable in others. Variation in the number of rows of scales on the body may be specially referred to as an instance of a change in number occurring at right angles to that JUM described. The number of such n.\\s in Trt>in'
  • iinfnx, for example, is generally 19, but Mr 404. l!<>ri,KM;[-:i; informs me that the Swiss Tropidonotus viperinus has either 21 or else 2-'J POW8. 405. Tropidonotus natrix is remarkably constant in the posses- of 1!) rows of body scales. A specimen taken in Switzerland 1 Compare with an int. n -tin^r series of cases in Gasterosteus (Stickleback). Boi LBMOKB, ; Su-vA(,r, A'iDM1. Arch, du Mus., 1874; DAY, Jouni. Linn. Sue., xm. L878, p. 110; Ac. CHAP, xi.] SNAKES : SCALES. 277 is described by STUDER, Mitth. natur. Ges. Bern, 1869, p. 24, as having 20 rows. This specimen was unusually dark in colour. [The presence of an even number of rows is in itself remarkable, but it is not stated whether this total was reached by duplicity in the median dorsal row or by inequality on the two sides.] 406. A specimen of Snake from Morocco closely resembled Macropro- todun inauritanicus Guichenot (= Lycognathus cucullatus Dum. Bibr.), but differed from it in having 23 rows of body-scales instead of 19, being 4 rows in excess of the normal number. PETERS, W., Sitzb. Ges. naturf. Fr. Berlin, 1882, p. 27. For particulars as to the range of variation in these numbers in different species, see numerous examples given by BouLENGER, G. A., Fauna of Brit. India : Reptilia and Batrachia, 1890. KIDNEYS ; RENAL ARTERIES ; URETERS. Meristic Variation in these organs is well known and the principal forms found are described in most text-books of anatomy. Some information as to these is given below. The examples are all from the human subject. 407. Kidneys. Male having three kidneys. The left kidney was normal in shape, position and consistency but was abnormally large. The right kidney was placed opposite to it and weighed only half as much as the left. From it a ureter with a small lumen arose and passed in a normal course so far as the division of the aorta. At this point its course lay along the surface of the third kidney. This third kidney lay over the whole right iliac artery, a portion of the right crural artery for the space of 9 lines, the right crural vein and the psoas major muscle. It was larger than the upper right kidney and had the form of an oval with its ends cut off. The anterior and posterior surfaces were convex. The anterior surface was grooved for the passage of the ureter men- tioned above, which received the ureter of the second kidney and passed normally into the bladder. The man was a sailor and died of enteritis at the age of 39. THIELMANN, C. H., Mutter's Arch, f. Anat. u. Phys., 1835, p. 511. 408. Renal Arteries. The number of the renal arteries in Man is liable to great variation. In specimens in which the kidneys are normal in position the arteries may be (a) diminished or (6) increased in number. The latter is much more common. Multiple renal arteries may be threefold, (a) Most commonly the additional branches spring from the aorta, (6) they may come from other sources ; or (c) there may be a co-existence of additional vessels from both sources. 278 .Mi:i:i>Tir VARIATION. [PART i. < )f tin- tii-t cl,-i>s, there have been described cases of OH' t wo. or three c one, right aortic | two, -! three i-left aortic renals. associated with ! or I four j K)9. In tin- commonest t'..i-m. next to the normal condition of one on each side, t here are two on the rightside and one on the left. In the -.•.•Mild commoin-t condition there are two on the left and one on the right; but aiming the forms with larger numbers, the greatest iiuiiili.-r is more frequently seen on the left than on the right side. In all these cases one vessel arises in the position of the normal renal; a second commonly springs from the aorta much lower down, ^fin-rally on the level of, or below the inferior mesenteric ; tin- tlnnl \\lii-n present, is at a very short distance above the normal i-fiial, \< r\ close to the supra-renal and on the level of the -ii]>crior mesenteric. Cases of five on the right are described by OTTO and .Mi:< KI;L, nnd other multiple forms are recorded by the older anatomists. MACALISTER, A., Proc. Roy. Irish Ac., 1883, p. 624. Three renal arteries on each side, symmetrically placed (Fig. 7:1). In this case the posterior ends of the kidneys were united FKI. 7H. Case of three renal arteries on each side combined with " horse-shoe kidney" (Man). (From (I'MI/'S lltj>. l!,'i>.}. across the middle line in the condition known as "horse-shoe kidney" [see evidence as to Bilateral Series]. Guy's Hosn. Rep., 1883, p. 4,s, % Ureters. Male. Four ureters emerging from the hilum of each kidney. After proceeding about tour inches they became united, forming a pel\ is from which sprang the proper ureter. The hilum of the kidney was found to lie occupied by a quantity of CHAP, xi.] EYES : MOLLUSCA. 279 fat and connective tissue, imbedded in which the ureters could be traced to the infundibula, communicating with the calices and pyramids : thus there was no pelvis within the hilum, but the calices united to form infundibula of which these ureters seemed to be the continuation, and they became united in a pelvis some distance removed from the kidney. There were other signs of abnormal urino-genital development and the author believes that it is almost certain that the abnormality described was congenital and not a sequel of disease. RICHMOND, W. S., Jour. Anat. Phys., xix. p. 120. 411. Two ureters from one kidney are frequent. For an example, see Gmjs Hosp. Rep., 1883, p. 48. TENTACLES AND EYES OF MOLLUSCA. 412. Subemarginula : specimen having a supernumerary eye on each eye-stalk (Fig. 74, II.). Author remarks that supernumerary eyes are common in forms having eyes borne on tentacles, but are rare in forms in which the tentacle is reduced as it is in Subemar- ginula. FISCHER, P., Jour, de Conch., S. 2, I. p. 330, PI. xi. fig. 4. 413. Patella vulgata : tentacle and eye repeated on left side (Fig. 74, I.). Right side normal. Supernumerary eye and tentacle of normal size. Ibid., S. 3, iv. p. 89, PL vm. fig. 8. « \ / FIG. 74. Repetitions of eyes and tentacles in Molluscs. (After Fischer and Moquin-Tandon.) I. Patella vulaata, No. 413. II. Subemarginula, No. 412. III. Helix kermo- vani, No. 416. IV. Clausilia bidens, abnormal, No. 417 ; V. normal of the same. 280 MKKISTIC VARIATION. [I'AKT I. 414. Triopa clavigera i-ol>al>lv representing the normal rhinophore of the right side. The rhinophore of the left ride was normal Ibid., S. 3, xxvin. p. 131. 415. Physa acuta : right tentacle bifid, left normal. Mo(t>rix- TANDON, llixt. not. des .M<>11. terr. etfluv. de France, I. p. 322, PI. \.\\n. tig. 1.". 41 G. Helix kermorvani : a second eye present, close to, but separate from tin- normal eye (Fig. 74,111.) on the left tentacle. Ibid., PI. xi. fig. 10. 417 Clausilia bidens : supernumerary eye on the right tentacle as shewn in Fig. 74, IV. Ibid., PI. xxm. fig. 24. 41, S Littorina : supernumerary eye on one tentacle. PELSENEER, Ann. >SV'. bi'l a small third eye. This third eye is round-oblong in shape. It is separated from the large eye only by the outermost margin of the eye, and though it is more convex than the latter there is nevertheless a considerable depression between the upper surfaces of the two eyes. This supernumerary eye is of a brighter colour than tlie normal e\e. being brownish-yellow, while the latter is of a pitchy black. It is facetted in the same way as the normal eye is. LETZNER, K., Jahresb. d. Schles. Gesell.fiirvaterl. Oultur., 1881, P. 355. 42<>. Calathus fuscus : having a third eye. On the left side of the \ertex was placed a supernumerary eye. This structure was smaller and less projecting than the normal eye and was separated from it by the usual groove. It did not appear to be a part of the normal eye which had separated from it, for the normal eyes of the left and right sides were exactly alike. The integument of the head was slightly wrinkled around the supernumerary eye. DE i \ I '.in I.KKIK, 1'., Ann. de la Soc. Knt. i'"inp<>unded in the middle line (Bees), see evidence as to Bilateral Serif-. CHAP. XL] WINGS OF INSECTS. 281 facetted eye. The consistency of the chitinous covering of the head, its sculpture and hairs, colour, &c. are all normal and of the usual structure. The left side of the head however is rather less developed than the right, and the left eye seems to be smaller and somewhat less convex, but there is no special deformity or altera- tion in the facetting. At the left side of the head arises an irregular chitinous loop of unequal thickness and having a diameter of about 2'5 mm. This loop is attached to the substance of the head before and behind and these two attachments are distant from each other about 1 mm. The height of this loop from the surface of the head is about 1 mm. in the highest part. Upon the upper surface of the loop is a small, irregularly rounded eye. The diameter of this eye is about 2'5 mm. and its convexity is considerable. It is facetted, but its facetting is not quite regular and is finer and slighter than that of the normal eyes. VON KIESENWETTER, Berl. Ent. Ztschr., 1873, xvn. p. 435, Plate. [A case is recorded by REITTER (Wiener Ent. Ztg., iv., 1885, p. 276) of a Rliyttirhinus deformis, having a "complete and fully formed facetted eye placed on the left side of the thorax." Upon the request of Dr Sharp, this specimen was most kindly forwarded by Dr Reitter for our examination, when it was found that upon the application of a drop of water, the supposed abnormal eye came off. The eye appeared to be that of a fly, and had no doubt become accidentally attached to the beetle either in the collecting- box or before its capture.] WINGS OF INSECTS. Supernumerary parts having the structure of wings have been occasionally recorded in Lepidoptera, but their occurrence is ex- ceedingly rare. In a subsequent chapter detailed evidence will be given respecting supernumerary legs and other of the jointed appendages of Insects and it will be shewn that in very many and perhaps all of these cases the supernumerary parts constitute a Secondary Symmetry within themselves (see p. 90). Extra wings however are of a different nature altogether, and there is so far as I am aware no indication that any of their parts are disposed as a Secondary Symmetry. In other words, an extra wing if on the left side is a left wing, and if on the right side a right wing. In some cases the extra wing is a close copy of a normal struc- ture, in others it seems to be more or less deformed. No genuine case of an extra wing present on both sides of the body is known to me. From the fact that no specimen of supernumerary wing has ever been properly dissected, it is not possible to make any confident statement as to the attachments or morphology of such parts. (See also No. 78.) 282 MERISTIC VARIATION. [PART I. The cases of X. carpini, No. 422, and of Bombyx quercus, No. 12!i, nevertheless sugge-t that Variation in number of wings is of the s;,nic nut un- a- that seen in teeth, digits, or other parts -landing in a Meristic S.-ries. In the specimen of S. carpini it is especi.-dly aoticeable that on the side having three wings, both the wiir^s formed as secondaries were smaller than the secondary of tin- normal side; but in other cases, G. rhamni (No. 4'27 ! tor instance, this was not the case, and the wing standing m-\t to the extra wing was normal. Both these con- ditions aiv freejiiently fnund in cases of the occurrence of super- numerary parts in Aeries: for two members of a varying series may clearly correspond jointly with a single member of the normal scries, or on the contrary a new member may stand ad- jaeent to members in all respects normal as in G. rhamni (No. 427.) 422. Saturnia carpini $ , having a supernumerary hind wing. The specimen is rather a small female. The right wings and the left anterior wing are normal, but in the place of the left posterior \\in-, there are two rather small but otherwise nearly normal posterior wings. Of these the anterior is rather the larger and to some extent overlaps the posterior. The costal border of the posterior wing is folded over a little so that its width cannot be exactly measured. Greatest Greatest length. width. Right hind-wing normal 22'5 mm. 1!) mm. First left hind-wing 20'5 „ 14 „ Second left hind-wing 15 -5 „ 11 ,, about. From the fact that the bases of these two wings are greatly overgrown with hair, it is difficult to distinguish their exact points of origin from the body, but so far as may be seen, the second arises immediately behind and on a level with the first. The neural ion of each of the two small wings is identical with that of a normal hind-wing. The scaling is perfect on both surfaces of both wings, but is perhaps a little more sparse on the anterior of the two abnormal ones. In colour the anterior abnormal wing is rather light, but the posterior one is identical with that of the other side. The markings on each of the wings are normal, but- are on a reduced scale in proportion to the size of the wings. This is especially remarkable in the case of the ocelli, which are both of a size greatly less than that of the ocellus of the normal hind wing of the right side. The two wings were in every respect true left hind-wings and were in no way complementary to each other. [Specimen in collection of and kindly lent by Dr MASON.] 423. Bombyx rubi $ : 5th wing on left side. The additional wing was placed behind the left posterior wing. It was of normal Structure as regards scaling and coloration. Its length was that of the hind-wing but in breadth it did not exceed 6 mm. The CHAP. XL] WINGS OF INSECTS. 283 insertion of this wing into the body was immediately above that of the normal hind-wing. The extra wing bore 4 nervures, of which 3 reached to the margin but one was shorter. The proper hind-wing of the same side was rather narrower than that of the other side and was not so thickly covered with scales, but its neuration was complete and normal. SPEYER, A., Stettiner Ent. Ztg., 1888, XLIX. p. 206. 424. Samia cecropia ^, having a fifth aborted wing. Bred in capti- vity : ordinary size, expanding about 5| inches : a smoky variety in which red portion of transverse bands on wings is much narrowed. Right primary and both secondaries normal in shape and marking. Left primary in length from base to apex exactly the same as the right, but in width from inner angle across to the costa is —% of an inch less; the markings are the same, but condensed into the narrower space. Neuration normal in all wings. Left primary also somewhat narrower at base, where it joins the body. The inner margin is in exact line with its fellow; hence the costal line of the left primary is somewhat posterior to that of the right primary. The supernumerary wing emerges from the side of the collar and runs parallel to the normal left primary. It consists mainly of the costal and subcostal nervures, a small part of the median nervure and a strip of wing about i inch wide which was much curled in drying. The supernumerary wing is in no way connected with the normal one. [The author regards this supernumerary wing as a repetition of the anterior part of the left primary wing.] STRECKER, H., Proc. Ac. Sci. Philad., 1885, p. 26. 425. Limenitis populi, having four normal wings and a fifth wing behind the left posterior one. This supernumerary wing was 20 mm. long and 9 mm. wide. It slightly overlapped the left secondary and was attached to it for a length of 12 mm., but its outer end was free. It is described as exactly resembling the part of the secondary which bears the three anterior nervures, and it is stated that both surfaces were normal as regards scales and colouration. ROBER, J., Correspond- enzbl. d. ent. Ver. "Isis" z. Dresden, 1884, i. p. 31. 426. Vanessa urticae, having an additional hind-wing on the right side. This structure is inserted into the thorax dorsal to and between the two normal wings. It is shorter and of about i the width of the normal hind-wing. In colouring it is a close copy of the anterior third of the hind-wing. WESTWOOD, Trans. Ent. Soc., 1879, pp. 220 and 221, Plate. [Now in Brit. Mus.] 427. Gonepteryx rhamni with additional imperfectly developed hind- wing on the right side. In this case the normal right hind-wing is only about two-thirds of its normal size. It overlies the additional hind-wing. The latter is coloured like the normal wing and bears an orange spot. From the neuration of the two wings Westwood con- sidered that the supplemental wing contained missing parts of the normal wing. Only two legs existed on the side of the abnormal wing, but for fear of injury the specimen was not sufficiently examined to shew whether 284 MERISTIC VARIATION. [PART I. the missing leg had been broken off or whether the extra wing was in its place. WI>T\V<>OD, ibid., p. 220. A specimen of G. rhuinni having live wings was caught at Brandon, Norfolk, in An-. 1*7.'* l.y Mr J. 'Woodgate, and exhibited to the Ent. Soc. by Prof. Mcldola, 1'rof. Knt. Soc., 1*77, p. xxvi. A similar specimen of this species was bought at Sti-vens'> auction-rooms and exhibited to Linn. Soc. by Prof. C. Stewart, in April, Ls'.il. This specimen is now in Mus. Coll. Surg. Whether it is the same as that taken by Mr \Yoodgate, or that described by Westwood, or not, I cannot say, but possibly the references are all to one individual. 42s. Lycaena icarus t !<>M is given. The figure is not very clear. It shews however that all the wings are normal except the right anterior. This wing is represented by two wings, which together are about a third wider than the normal wing. The costal portion of the foremost of these wings appears to be nearly normal in neuration, and the posterior part of the hindmost seems to be also normal. The two taken together shew several supernumerary nervures a- ei.nipared with the normal wing, but the details are not shewn with sufficient clearness to justify a more precise statement.] HONKATH, K. G, Jkrl. Ent. Ztschr, xxxn. 1888, p. 498, Taf. vn. fig. <>. 429. Bombyx quercus $ : specimen having 5 wings figured in colour by HONUATH, with statement that the left anterior wing shews a double structure. [No further description given. The figure shews the left anterior wing represented by two wings. Of these the posterior appears to represent a nearly complete anterior wing on a reduced scale. It bears the white ocellar mark of the anterior wing. The pale-yellow submarginal band is curved inwards over the ocellus upon the costal border as in a iKirmal wing and thus shews that the foremost wing is not merely the scp:ir;iicd costal part of this wing. The foremost wing is anomalous. Its central half is rather darker in colour than that of the normal wing and its peripheral half is pale in colour, decpi-ning towai'ds the margin. It bears no ocellus. The neura- tion s cannot be made out from the figure with precision but the two wings together contain many more nervures than the normal anterior wing. The legs are not described.] HONRATH, E. G., ibid., fig. 10. 430. Zygacna minos, having a fifth wing on the left side, inserted above and between the normal wings. The Dentation of this wing is peculiar. The colouring of the supernumerary \\ing was that of the anterior wing. [Dr liogenhofer kindly informs me that thr legs \\crc normal.] I\OUI:MIOI i.u, A., Sit:.-H<'r. d.zool.-bot. OYs. JJ'iY/i, .'i, xxxn. p. 34, fig. In the same place the following instances of five- winged Lepidoptera are given : Orthosia lacvis with an additional posterior wing on the left side, in the Mu-eutn of I'esth. TKKITM IIKE, Bd. vi. Abth. n. p. 407. 432 Pygaera anastomosis with a wing-like appendage to the left anterior wing in the collection of OCHSKNIIKIMEH in Pesth. 433. Naenia typica with an additional posterior wing in the collection of NEUSTADT at Breslau. CHAP. XL] HORNS. 285 434-. Crateronyx dumi with five wings in the collection of WISKOTT in Breslau. 435 Penthina salicella : left fore-wing about £ wider than the normal right fore- ' wing. The apical border was markedly ernarginated, giving it a bilobed appearance. The nervures were as in the normal wing, except that the cells between the branches of the subcostal nervure were enlarged. ROGENHOFKH, ibid. [I am indebted to Dr Eogenhofer for a sketch of this specimen.] [Palloptera UStulata (Diptera): specimen having a large upright scale on the thorax. This abnormal structure is like a third wing in appearance, and is fixed on the thorax, passing from the head, back- wards between the wings. Its upper border is circular, and in all respects it resembles the upper wing-scale of one of the Calypterous Muscidas. GERCKE, G., Wiener Ent. Ztg., 1886, v. p. 168.] HORNS OF SHEEP, GOATS AND DEER. 436. Sheep. Repetition of the horns in sheep is well known. The best account is that of H. VON NATHUSius1 of which the following is chiefly an abstract. Commonly there is a pair of extra horns placed externally to the usual pair, but there may be three pairs in all, and even higher numbers are recorded, though Nathusius had seen no such case. The numbers on the two sides may be different, two on one side and one on the other, and three on one side and two on the other being sometimes met with. It is noticeable that in all cases the horns stand in a trans- verse series, and not in a longitudinal series as they do in the Four- horned Antelope (Tetraceros quadricornis). The bases of the horn-cores are generally in contact, standing one outside the other at the same transverse level on the skull. Nathusius observed that in development the outgrowth for the horns of one side is at first single, but afterwards divides into two or more points, but he surmises that the division may appear earlier in other cases. The external horns are generally smaller than the internal ones, but this is not universal. In some cases of two pairs of horns a small fifth horn is placed between the external and internal horns of one side. In another form of double horn the horn-core of one side or other may be a double structure, both cores being enclosed in a single horn, which on being separated has a double-barrelled appearance. Several examples of permanently four-horned breeds occur in various localities, being described as common in Cyprus and notably in Iceland and other northern islands. YOUATT (p. 169) stated that there were two breeds of sheep in Iceland, the one small and the other large, and that the greater part of both breeds 1 H. VON NATHUSHJS, Vortr. lib. Viehzucht u. Rassenkenntniss, Th. n., Die ScJttif- zucht, 1880, p. 177, fig. 47. 286 M ERISTIC VARIATION. [I-AKT I. had more than two horns, some having eight. I am informed however by Mr E. H. Acton, who has spent some time in the country, that many-horned sheep are by no means common in Iceland at the present day. In Kishtwar (district of'S.E. Kashmir) a breed of 4-horned sheep is carefully preserved, in which the horns an- as a rule very symmetrical, somewhat resembling No. 4381. Natlmsius states that a four-horned ram does not always beget four-horned offspring even when the ewe has the same character, and the valuation between father and son in respect of horns is frequently considerable. 'I'll.' bi-st figures of many-horned sheep are those given by lln-Tox, Hist, nut., Vol. xi. 1'ls. :-Jl and 32 (3-horned and 4-horned); YOUATT, The Xh\>. 141 and 171, cojiinl t'rnni r.riruN. Numerous other figures are referred to by Xathusius, but fuw of them are satisfactory. 437 Goat. A family of goats on an isolated farm near Bozen had -t horns, which had been inherited for many generations. In most cases thf two ordinary horns were typical in shape and direction; and in addition to these there were two lateral ones, which were laterally curved, being sickle-shaped and bent into a semicircle. GREDLER, V., Kurrespondenzbl. d. zool. min. Ver. Regensburg, 1869, xxin. p. 35. *4,3S. Rupicapra tragus (Chamois) : skull bearing two well-formed and symmetrical extra horns. The cores of these horns were a little outside and posterior to the normal pair. ALSTON, E. R., P. Z. S., 187H, p. S02. 4,30, Capreolus caprea ( Roebuck) : specimens having a supernumerary beam are probably not very rare, and a number of such antlers were shewn among the hunting-trophies exhibited by H. H. the Duke of Saxe-Coburg-Gotha, and H. S. H. the Prince of Waldeck-Pynnont at the German Exhibition held in London in 1891. The normal antler of the roebuck has a single beam rising vertically, then bifurcating, the posterior branch again dividing. In the abnormal specimens from the single burr of one side arose a supernumerary beam in addition to the normal one. In one specimen, in which the supernumerary beam was nearly as long as the normal one, the latter bifurcated as usual but was rather more slender than that of the other side (Fig. 75 I.). In another case (Fig. 75 II.), from the left burr, which was much enlarged, arose (1) an innermost beam, in thickness and texture resembling that of the normal right horn, though it was much shorter and bore no tine ; ('2) an external beam at once dividing into two almost equivalent branches having about the same length as the innermost beam. In such a case I know no criterion by which one of the three beams can be certified to be the normal to the exclusion of the others. As in the sheep and goats, the several horns resulting from subdivision seem to be generally in or nearly in the same transverse plane. 1 GODWIN-AUSTEN, H. H., P. Z. S., 1879, p. 802. CHAP. XI.] HALIOTIS. 287 FIG. 75. Abnormal horns of Roebuck (Capreolm caprea), No. 438. by rne the horns were fixed upon heads modelled in plaster.) (When seen 441. 442. PERFORATIONS OF SHELL OF Haliotis. Haliotis gigantea (Japan) having two rows of perforations in the shell. In addition to the ordinary row of perforations, of which 12 were present in this specimen, there was a series of 8 additional perforations which began within an inch of the apex. Of the normal series the last four remained open, but all the perfora- tions in the abnormal row were closed with nacre. Specimen in Brit. Mus. SMITH, E. A., Ann. and May. of N. H., 1888 (1), p. 419. Haliotis : two specimens, of different species, in which the perforations were entirely absent, their place being taken by a continued convex, spiral rib, like the second rib of Padollus. "Probably in this individual the mantle was without any slit, and hence the malformation, the water being admitted to the gills by the slight notch in front of the ribs, as in some Emarginulce, or Scuta." (JKAY, J. E., Proc. Zool. Soc., 1856, p. 149. **• albicans : several specimens in which the perforations were united to form a continuous slit. The appearances were so uniform that Gray was disposed to think that these specimens might represent a new genus, but on comparison with types they seemed to belong to the species named. In some fossil genera (Scissurella) the perforations are replaced by a more or less continuous slit over the mantle. The specimens in question were greatly eroded and had a diseased appearance, ibid. Plate. CHAPTER XII. LINEAR SERIES — continued. COLOUR-MARKINGS. OCELLAi; M AllKIXGS1, ESPECIALLY THOSE OF LEPIDOPTERA. UP<'\ the bodies of animals belonging to many classes are markings which consist of a central patch of colour surrounded by a variable number uf concentric rings of different colours. Such markings arc known as ocelli or eye-spots from their resemblance to the pupil and iris of vertebrates. Eye-spots are perhaps best known in Lepidoptera, but similar markings are not unfrequent in other groups and especially on the feathers of Birds and in Fishes. In one of the best known chapters in the Descent of Man' the nature and mode of evolution of these markings is the subject of a full discus-ion, the case of eye-spots on feathers being chiefly r.-ikeii in illustration. As is well known, Darwin by the compara- tive method, comparing the eye-spots found in different species, on the different feathers of the same bird, or on different parts of the same feather, tiiiind that it was possible to construct a complete progression from a plain spot to a fully-formed ocellus. Though no one examining such a series can possibly doubt that the simple -pot and the fully-formed ocellus are really of the same nature and that the one represents a modification of the other, there remains nevertheless the difficulty that members of a series of parts cannot be assumed to represent conditions through which the other mem- 1" rs of the same series have passed, and it is of course clear that the conditions found in some forms do not necessarily correspond with pliylogeiietic. phases of other forms. In the present instance however Darwin is not specially urging this view, but brings for wan I the comparative evidence chiefly in illustration of the possibility that such structures may exist in an imperfect state and so may be conceived of as having had a gradual origin. 1 The evidence concerning eyespots of Lepidoptera is taken here because eyespots when rrpi'iitr.l in MTH s, though borne on appendicular parts, are nevertheless arranged chirlly with roft-n-nce to the chief axis of symmetry of the body. In some ft\v forms, !•. ;i. 'I'lii/iii-tif, there is a conspicuous Minor Symmetry within the limits uf ;i .-ingle wing (tin- posterior), but this is not often the case. - Dc.-r.-nt »i Man, 1871, n. pp. 132—153. CHAP, xii.] EYE-SPOTS. 289 Though doubtless the eye-spots of Birds are in their nature not different from those of Lepidoptera yet their manifestations in the latter are usually in some respects simpler than they are in Birds. From the abundance of material also the Variation of eye- spots is most easily studied in Lepidoptera and it is to them that the present evidence chiefly relates. In preface to the evidence a few remarks are needed to direct attention to certain features in the mode of normal occurrence of eye-spots and in the manner of their Variation. On a survey of the facts it is at once seen that eye-spots are extraordinarily variable both in number and size, some of the best formed being occasionally absent, and large and perfect ocelli being sometimes added in situations having normally no trace of such marks. With this fact Darwin was well acquainted and he refers to observations in illustration of it. In speaking of Gyllo leda he concludes that from the great variability of the eye-spots " in cases like these, the development of a perfect ocellus does not require a long course of variation and selection ; " and again, that bearing in mind " the extraordinary variability of the ocelli in many Lepi- doptera, the formation of these beautiful ornaments can hardly be a highly complex process, and probably depends on some slight and graduated change in the nature of the tissues." The facts to be given and the circumstances attendant on the variation of ocelli tend to support this conclusion. Considered from the point of view of Meristic Variation the chief feature in the manner of occurrence of eye-spots in Lepi- doptera is the frequency with which they are repeated. A single spot may be repeated in homologous places in both pairs of wings ; in other cases there is a series along the margins of one or both wings. Besides the repetitions thus occurring it is especially worthy of notice that ocelli are very commonly repeated on both surfaces of the wing (Satyridas, &c.), the centres of the upper and lower ocelli coinciding. It need scarcely be remarked that this effect is not produced by transparency of the wing-mem- branes and scales, but is an actual repetition, the scales of both surfaces being so coloured as to form an eye-spot on each side, the two having their centres coincident. In some cases, e.g. Saturnia carpini (the Emperor Moth), the rings and centres of the upper and lower ocelli have nearly the same colouring, but in the majority e.g. Pararge megcera (The Wall), Erebia blandina, &c., the upper and lower spots, though coincident, have quite different colours. In considering the Variation of the spots these facts as to the repetition of the spots should be remembered, for, as has been often insisted on in other cases of repetitions, we are concerned with the evolution of the series and not of one member only. Here there- fore regard must be had to the degree of correspondence between the variations of the eye-spots in the fore and hind wings, on the B. 19 290 MKIUSTIC VARIATION. [PART i. upper anil lower -uriace> of the same wing, in the several eye-spot.- aloiiM- the margin of th'- -aim- wing, or in all of these, as the case niav 1)'-. 'I'll'' evidence \\ill >hew that there is sometimes a close correspondence between the variations of eye-spots in these several positions. Hi it tin nigh these are the matters with which we have now tin' in.. iv din-ct concern it will be convenient to speak at the same time more generally of eye-spots. It should be remembered first that there are eye-spots of various complexity. In the simplesl all the band*, are circular, having one centre; the ocellus is then ml.. complete in one cell of the wing, though sometimes tin outer /ours of colour overspread parts of the adjacent cells. In some cases th.- spot is double, having two centres, the bands being di>pos,-d round them in an hour-glass shape. As to the visible structure of e\v— | i..ts it can be seen with the microscope that the colour of the eye-spot lies in the colours of the scales. The scales an arranged in parallel rows running (with little crossing or anasto- mosing) as 1 1< 'arly as possible at right angles to the nearest nervures, being disposed in regard to them much as the circular threads of a cobweb are in regard to the radial threads. Across these rows of scales run the colour-zones, in no way limited or guided by them. On the other hand it can be seen that the patterns are almost wholly made up by the colours of single scales, each having its n\\n colour, particoloured scales being exceptional. The effect thus seen is very like that of a mosaic picture made of similar pieces, or of a design worked in cross-stitch on canvas, all the stitches being in rows and each stitch having its own colour. As regards the position of eye-spots it should be noticed that the simpler sort, e.g. those of Morpho or of Satyridoe, are usual/;/ jilni',',1 /// xin-li ut the -tatement that the order of disappearance is from the centre outwards and not the reverse is substantially true. Some ha\e expre^.d a belief that ocelli arise by the breaking up "I hand- (if colour, but this view finds no support in the facts of Variation BO far as the simple ocelli of such forms as Murpho and til- Sat \rida- are concerned; for in its rudimentary condition a circular eye-spot is in them a circular eye-spot still. The fact just stated, that in the reduction of a circular ocellus its central parts arc the first to disappear, recalls phenomena seen in many cases of disturbance propagated from a centre through a homogeneous medium. A whole eye-spot may come, or it may go (as seen in cases of Morpho), leaving the field of the cell plain and without a speck. The suggestion is strong that the whole series of rings may have been formed by some one central disturbance, somewhat as a series of concentric waves may be formed by the splash of a stone thrown into a pool. It is especially interesting to remember that the formation even of a number of concentric rings of different colours from an animal pigment by the even diffusion of one reagent from a centre occurs actually in Gmelin's test for bile-pigments. Bile is spread on a white plate and a drop of nitric acid yellow with nitrous add is dropped on it. As the acid diffuses itself distinct rings of yellow, red, violet, blue and green are formed concentrically round it by the progressive oxidation of the bile-pigment. If the experiment is made by letting a drop of the acid fall on a piece of blotting-paper wetted with bile, a fairly permanent imitation of an ocellar mark can be made. It will be noticed that as in the natural eye-spot, so here, the outermost zone appears first and the central colour last. As also is usually the case in the ocellus, when all the zones are formed, the centre may greatly increase in diameter without any increase in the breadths of the circular zones, which merely get larger in diameter, remaining of the same breadth. There is of course no reason whatever for supposing that ocelli are actually formed by the oxidation or other simple chemical change of the pigments of the field, but this example is merely given as an illustration of the possibility that a series of discontinuous chemical effects may be produced in concentric zones by a single central disturb- ance. Indeed, that the formation of an ocellus cannot be in reality of such simplicity is shewn by the fact that the scales of the centres of ocelli generally exhibit interference-colours (usually white or blue) and are then wholly or partially without pigment, while in not a few cases the centres of ocelli are deficient in, or destitute of, scales. It must also be remembered that occasionally the colour of one of the outer zones is repeated in an inner zone, which would scarcely be expected on the analog)' of the oxidation of bile-pigments. (3) As in the case of Teeth at the ends of series, disappearance of a member of a close series of eye-spots commonly occurs by the CHAP, xii.] EYE-SPOTS. 293 loss of the spot standing at one of the ends of the series. This is easily seen in P. megcera, &c. Likewise as was found in Teeth, disappearance of such a terminal eye-spot is associated with reduction in the size of the other members of the series, and especially of those nearest to the place of the absent member. If as in Satyrus hyp&ranthus and many others, the series is broken into groups, then as in the case of heterodont dentitions containing gaps, a new member may be added on to the end of either group. (4) The condition of the ocelli may vary similarly arid simul- taneously in both anterior and posterior wings. In a series of Saturnia carpini for example I notice that the size of the ocelli varies greatly, those of a particular female specimen in the Cam- bridge University Museum being nearly a quarter larger than those of the specimen having the smallest ocelli ; but the size of the ocelli in the hind wings of each individual varies with that of the ocelli in the fore wings not less closely than the size of the right ocelli does with that of the left. (5) This correlation between the wings of the two pairs is seen also in the presence or absence of ocelli as exhibited for instance in H. tithonus (Fig. 76). It is of course often very irregular, but for our purpose it is even of consequence that such correlation may occur sometimes. (6) As mentioned, ocelli are often coincident on the upper and lower surfaces. When this is so, the degree of development of the spots on the one surface is generally an accurate measure of the degree to which they are developed on the other surface. But in species having spots developed thus coincidently on the two sur- faces it can be found that, in varying, an ocellus always first appears in its least condition either on one surface or on the other, and not indefinitely sometimes on one and sometimes on the other. In P. meycera, for example, ocelli of both pairs of wings can be seen on the under surface when not formed on the upper and conversely. Nevertheless there is always a close corre- lation between the degrees of development on the two surfaces. (7) Lastly, attention is called to the circumstance that in two cases of great variation in ocellar markings there was a variation in the neuration. In the first case, P. megcera, No. 458, the second median nervure was absent from both fore and hind wings. In the fore wing upon the line where it should be there was an eye-spot: in the hind wing the eye-spots of the two cells which should be separated by the second median were partially coalescent. In the other case, S. carpini, No. 459, the large ocellus was absent from each wing, and it is stated that a nervure was also absent, but of this case no proper description has appeared, and it is uncertain which nervure was absent. When however these facts are con- sidered in connexion with the circumstance that ocelli stand on the creases of the wings it seems likely that in some way unknown the positions and perhaps even the existence of the eye-spots may 294 MMKISTIC VARIATION*. [PART I. be determined by tin- manner of stretching of the wing-membranes. It must still 1).- remembered that in the great majority of cases of ilar variation there U n<> change in the neuration. A- bo ill-- film-tin, ..f.H-ellar markings nothing is known, aiul I am net aware that any suggestion has been made which calls for 3< i LOUS lint ice. KVII.KX. H AS TO YAIMATIOX OF OCKLLI IN LEPIDOPTERA. General rtirinl.iliti/ of ocelli. The following are chosen to illustrate the general variability of ..ci-lli in Satyrida-. Any of the common forms, such as C. tlamx, P. megcera, &c. shew similar variations. Generally speaking the condition is bilaterally symmetrical, but somewhat asymmetrical examples ai-e not rare. *44.S. Hipparchia tithonus : from some 80 specimens taken in one I-'i'.. TO. IIi/>inir,-!iiii tithoniiKi , cases illustrating Variation in number of ocelli. I. In f. \v. the upper hnlf of the large ocellus lias a pupil, the lower has none: in h. \v. no ocellus. II. I'.otli halves of large ocellus of f. w. have pupils, and the h. \v. ha- ocellus. III. Pupils of large ocellus of f. w. are larger: h. w. has two ocelli. IV. F. w. ha- a new ocellus ami the large double ocellus is half-joined jecon 1 new ocellus. H. w. has two ocelli, one being placed otherwise than in III. V. K. w. has two ocelli without pupils as \\cll a- the large double one. H. w. hi- three ocelli. The wings of the other side corresponded nearly though not riecuiately. II. is the most frequent form. iThis figure was drawn with especial care fioni the specimens by Mr Edwin Wilson.) CHAP. XII.] EYE-SPOTS. 295 ditch in the Cambridgeshire Fens on the same day the individuals shewn in Fig. 76 were selected. These cases especially illustrate the statements numbered (2) and (o), viz. the order of appearance of the colours and the similar Variation of the two pairs of wings. *444. Satyrus hyperanthus : four specimens (Fig. 77) shewing II IV FIG. 77. Satyrus hyperanthus. Various conditions of ocelli. II. is the most frequent form. (From NEWMAN'S British Butterflies.) different conditions of ocelli in this species from NEWMAN'S British Butterflies. A form without ocelli is mentioned by PORRITT, Ent, xvi., 1883, p. 188. On one day I have myself taken all the forms shewn in Fig. 77 (except III.) and others in Monk's Wood, so that here no question of seasonal or local difference is necessarily involved. 44,5 Chionobas. The North- American species of this genus [in general appearance ' somewhat resembling the British Hipparchia semele, the Grayling] are of a brown colour having eye-spots on some or all of the wings. According to STRECKEK the number of eye-spots varies extremely, and the following instances are given. The species nor ma may have two spots on fore wings and none on hind wings ; two on f. w. and one on h. w. ; one on f. w. and one on h. w. ; one on f. w. and none on h. w.; three on f. w. and two on h. w. Of the species uhleri one of the types has three on f. w. and four on h. w., the other has four on f. w. and five on h. w., the subapical being very small ; other examples have only one on f. w. and two or three on h. w. The species cliryxus may have one on f. w. and none on h. w.; or two on f. w. and one on h. w. STRECKEB, Cat. Macrolepid., p. 155. 440. Arge pherusa: a butterfly resembling the British Arge galathea, the Marbled White, has a variety plesaura, in which the eye-spots of hind wing are wanting. Specimen figured in which the left hind wing is a third smaller than the right and lacks the eye-spots. FAILLA-TEDALDI, Nat. Sicil., i. p. 208, PI. xi. lig. 8. 296 MEHF-Tir VARIATION. [PART i. MORPHO. A number of species of this genus, for example, Af. , on the hind wing 4. In speaking of them t he letters a, l>, c, d, e,f, g are used as shewn in the figure. Between n ami // there is a cell normally bearing no ocellus, and between d and e there are two such cells. The spot cj as described on p. 90, stands at the anterior side of its cell and not in the middle of it, and a second spot gi may appear behind it in the same cell. The following examples are taken from the series in the collec- II 7s. M,>i-i>li, > tn-hill<:-:. Undersides of left wings. I. Normal. II. Specimen wanting the s]i<>ts ./ :mil c on both sides. 1 1 rom -p. . ,1,1, us in the collection of Messrs Godman and Salviii.) CHAP. XII.] MORPHO : EYE-SPOTS. 297 tion of Mr F. D. Godman and Mr O. Salvin, to whom I am much indebted for permission to examine the specimens1. 447. Morpho achilles T!< VARIATION. [PART i. ;. so. Mnrpho octavia: abnormal specimen having ocelli on both sides in the positions «' and z ines 1, '2 and :5, the latter colour forming the centre. 1-V. 7>, 1. may lie taken as approximately she\vin,' the normal for this species (From a -pecimen in the collection of Messrs Godman and Salvin.) CHAP, xil.] COMPLEX EYE-SPOTS. '299 on right side, while on the left the same spot is reduced as shewn in the figure, the centre being of the colour normally constituting the third band. In connexion with the above cases it should be mentioned that in another species, Morpho sulkowskii, one of the more transparent species, the spots a1, «,, and gt are all normally present. The spot c is however sometimes absent in this species. In M. psyche the spot c is normally absent, though present in one specimen examined. Complex ocelli. Besides the simpler ocelli there are other forms of ocelli of more complex structure, having two or more centres around which the coloured zones are disposed without an accurate symmetry. Such ocelli may be seen in Vanessa io or in Junonia, and it is noticeable that they are no less variable than the simpler forms. The following examples may be given. Vanessa io. Looking at the eye-spot on the fore wing of the Peacock-butterfly one can readily see that it is not a structure of the same nature as the other ocelli that have been already con- sidered. The eye-spot of the hind wing does not materially differ from other eye-spots, being essentially a black spot surrounded by a pale band and containing an irregular and incomplete centre of blue. The eye of the fore wing on the contrary is not actually made up of concentric markings but is quite exceptional, being formed of a combination of patches of different colours. But whether the eye of the fore wing is a true ocellus or not it is nevertheless certain that its formation may vary with that of the eye of the hind wing, as the following examples testify. 451. Specimen, British; reared from a larva in captivity, having all the eye-spots deficient (Fig. 82). On the fore wings the series of white spots along the margin (on the creases) are present. The three which lie within the field of the normal eye-spot are lonyer than usual. The costal black mark is extended so as to cover the greater part of the FIG. 82. Vanessa io, the Peacock butterfly, having all the four eye-spots deficient (No. 4.31). (From Newman.) 300 MKHIsTlr V. \UIATIOX. [PART I. situation of the eye-spot. On the hind wings the eye-spots are entirely obliterated ainl their place i- Taken by an ill-defined patch of pale colour. X r:\vM.\\, Kut., 1S72. 1 1. ln-5, Fig. 452. Similar specimen deseribcd by GOOSSEXS, Bull. Ent. Soc. Fr\ S. "), v. p. cxlix. 45;} Similar -pecimen in Lord \V.u.six«HAM's collection in Brit. Mus. Here the blue and black of tin- eye spots of the hind wing are altogether absent. The black internal border of the spot is broader than usual, and the place of the spot is lightish in colour. In the spot of the for-- \\ing the blue is deficient, the yellow is largely absent, but the white spots are emphasized. *454. Specimen in which the eye-spots on the hind wings are obliterated, as in the foregoing : those of the fore wings are also similarly modified. I. ut the white spots of the marginal series are enlarged to a much -n-ati-r extent. Also another specimen in which the eye-spots were partially deficient These two specimens were from one brood reared in (lei-many: of this brood none were typical, and several resembled the specimens described. SOUTH, 1\., Ent., lss<), xxn. p. 218, PI. 4.")j Specimen figured in which the eye-spots are symmetrically absent from both posterior wings. In this case both the greyish yellow bordering of the eye-spots and the blue marks generally contained within them are entirely absent. The ground-colour of the hind wings i- greyish Itrosvn, and upon this two black marks are placed in tin- situation of the normal eye-spot and a series of small black lines occurs round the margins of the hind wings. The eye-spots of the anterior \\ings are modified in a peculiar manner which is not easily described. .MuSLEY, S. L., Varieties of II fit. L< i>id., Pt. ill. PI. 2, Fig. 3. 456. Junonia clelia. ('nun. In this species there are normally two ocelli m each fore wing and a similar pair in each hind wing (TitiMKN, S. Afr. JlnttertUex. i. p. '214). In a series of nine specimens in the Cambridge University Museum very great variations in the size of the ocelli appeal'. The jmxtt'rior ocellus of each wing is more constant in si/.r than the uiiti'rior. (hie specimen wants altogether the anterior ocellus of the hind wings, which in most specimens lias a diameter of about 'J-'i nun. In several the anterior ocellus of the fore wings is hardly visible. 457- Junonia cocnia : the degree to which the two eye-spots of each wing are de- veloped vaiies greatly. In a California)! specimen in (iodman and Salvin's collection the spots are all very large, while in a (uanada specimen they are almost entirely obliterated. Of four spreimens in the same collection from the United States of Colombia (luit nut t'luin thr same locality i. one baa scarcely a trace of the anterior eye-spot of the fore wing, the si ri.iul eye 1>< ing MTV faint. In the hind wing the anterior eye-spot is very faint and th. p f the four 'ti'iiii/ft. In the anterior wings the place which should be crossed by this nervinv is occupied by an extra ocellus (Fig. N-'!). which is nearly as large as the normal large ocellus of the wing. Tin- normal ocellus itself is incompletely doubled. In the hind wings, the two ocelli (2nd and :>rd). which in the normal insect are scpaiated by the missing nervuiv. are elongated towards each CHAP. XII.] EYE-SPOTS AND NEURATION. 301 other, so that their black borders touch and the usual central white dots join into a line, one-twelfth of an inch long. On the under FIG. 83. Pararge megara, the Wall ; case described in No. 4oS. [This copy is rather too light, and the banding on the hind wing is too distinct.] (From WEBB.) side, the anterior wings have respectively six and five ocelli and the hind wings five and six. The arrangement of the dark colour on the upper surface of the anterior wing differs somewhat in the direction of the pattern of the female. WEBB, S., Entomologist, 1889, xxn. p. 289, Fig. Saturnia carpini ^ ; variety without eye-spots. (Fig. 84.) This specimen was bred from a larva found with many others FIG. 84. Saturnia carpini lacking the ocellar marks in each wing (No. 459). (From BOND.) feeding upon sallow in Sawston Fen, Cambridgeshire. " In the colour and markings of the specimen there was perhaps nothing worth notice excepting the absence of the ocellus in each wing and also of one of the veins in each of the anterior wings." About 50 Iarva3 were collected at the same time on one large sallow. One of them, a female, was destitute of scales1, but the remainder of the specimens reared were remarkably fine. BOND, F., Entomologist, x., 1877, p. 1, fig. [This is the specimen mentioned by HUMPHREYS, Brit. Moths, p. 20. It is unfortunate that no further description is given, and the figure is not sufficiently clear to enable one to see which nervure was absent. On the fore wings a narrow, elongated patch of light colour was in the place of each ocellus, and on the hind wings there was a somewhat wider 1 Partial deficiency of scales, occurring evenly over all the four wings, is not very rare in S. carpini. I have myself reared two such specimens. 302 MERISTIC VARIATION. [PART I. and irregularly shaped patch of pale colour. If this specimen, which was in" the collection "f the late Mr F. JJond, is still in existence it is greatly to be wished that a proper description of it should be published.] 460. Saturnia carpini .' : \vings yellowish-grey throughout, with the usual markings, save that on the fore wings there is no ocellus, and on the hind wings is only a small black eye, without a border, having a yellowish-givy central spot. OcHSENHEIMER, F., Schmet. von Europa, 1810, iv. p. lit I. From this evidence it is clear that the range of Variation of ocellar markings in Lepidoptera is very great. It is especially to be noticed that this variability affects no one family, or the species of one geographical region, or one kind of ocellus exclusively, though doubtless it is more marked in some than in others ; but it seems rather to be a property belonging to ocelli in general. From the fact that they can bodily come and go, it seems clear that, as was suggested above, each ocellus is as regards its origin one structure made up of parts in correlation with each other. RAIID-ffi. The great variability of ocellar markings is probably not peculiar to Lepidoptera, but I have no evidence sufficient to pro- duce regarding the variability of ocellar markings in other forms. I may however instance the case of the Raiidae, many of which have been found marked with a large ocellar mark on the dorsal surface of each pectoral fin. At different times such a mark has been thought to characterize a certain species, but I believe it is now generally admitted that it may appear as a variation in several species. The best figure of this ocellar mark is that given by DONOVAN (Brit. Fishes, 1SOS, v. PI. CHI.) in a Ray described under 461. the Linnean name Raia mindetas. On each "wing" was a large spot, having a dark purple centre, surrounded by a zone of silvery green enclosed by a broad dark boundary composed of five equi- distant, contiguous spots of blackish purple. Donovan suspected that the fish might be a variety of the Homelyn (R. maculata), and it has been generally believed by other authors to have been so. Donovan states that a similar eye-spot was seen by him in various degrees of definition in several young Skates. 462. R. clavata, the Thornback, also sometimes has a large white spot surrounded with black on the " wings." DAY, Brit. Fishes, II. p. 344. Raia circularis, the Cuckoo Ray, has normally on each "wing" a large black blotch banded with yellow and surrounded by yellow spots. This structure may be absent as a variation. DAY, Brit. Fishes, II. p. 349. CHAP. XIL] SIMULTANEOUS COLOUR- VARIATION. 303 SIMULTANEITY OF COLOUR- VARIATION IN PARTS REPEATED IN- LINEAR SERIES. Reference was made (Introduction, Section V.) to that relation subsisting between the several members of a linear series of segments or other repeated parts, by virtue of which they m;i\ resemble each other in respect of colour or pattern of colours. From the fact that the several members do in such cases often bear the same colours or patterns it is clear that they must at some time or other have undergone similar Variation. In order to measure the possible rapidity of the process of evolution by which such parts may have reached their present condition it is important to ascertain the extent to which their several variations may be simultaneous. Variations in colour are of course Substantive variations and a full consideration of their nature cannot be taken here. For the present we are only concerned with the consequences of the fact that the parts are repeated in series. As was pointed out in the Introduction the problem of the resemblance between the colours of such segments is only a special case of the same problem of Symmetry which is again presented in bilateral or other Repetition. Simultaneous colour-variation taking place abruptly in a large number of organs, such as hairs, feathers, &c. is a very common occurrence, and the part that repetition of structures plays in producing the total effect is apt to be overlooked. In comparing two varieties of some whole-coloured animal, a bay horse with a chestnut for example, it must be remembered that the difference is really made up of a simultaneous variation in the pigment of each particular hair. Similarly if a caterpillar normally green appears in a uniformly brown variety we may conceive the total change as brought about by variation occurring simultaneously in the skin of the several segments, or in some smaller units. But whatever unit be taken, whether segment, or hairs, or cells, that all or any particular groups of such units should vary together and in the same direction is not a matter of necessity. That such simul- taneity is not universal and that segments may vary independently of each other is a matter of common observation, and indeed is sufficiently proved by the occurrence of differentiation between segments. Nevertheless the evidence goes to shew that between parts repeated in series there may be a relationship of the kind spoken of, though its causes, nature and limitations are unknown. In the case of actual segmentation this relationship may appeal- either in the simultaneous variation of the colour-patterns of the segments, or of some one colour or patch borne by each, or by the appearance of some unusual mark or patch on several of them at once. In some cases it happens that certain of the segments may vary together, the rest remaining unchanged, and, as seen in 304 MERISTIC VARIATION. [PART I. Chiton I/HI nnoreus, (q.v.}, the segments thus undergoing the same variation are not always even adjacent to each other. The win ilt- question is a very large one and it is not possible here to do more than refer briefly to a few cases illustrating some of its different aspects. Fuller treatment will be attempted in connexion with the evidence of Substantive Variation. 4G3. -^s '-Mini] iles of a form whose segments in their colour- variations manifest a very close agreement with each other, the Hirudinea may be taken. Figures of numerous varieties of medicinal Leeches are given by EBHARD. Xnm-i-II,' nnnioijr. des Sangsues, 1857, and other cases are represented by MoQUlN-TANDON, Monogr. de la famiUe des llirudinees, \*'1~ (see especially PI. v. tig. 1). As these figures testify, there is a wide- diversity both in the ground-colour and in the size, colour and manner of distribution of the lines and spots with which it is decorated, but M> far as may be judged from the figures and descriptions the same decorations are repeated on the various segments. It cannot be doubted that a close scrutiny of the specimens would shew points of difference even between adjacent segments but substantially the patterns are the same for the segments of an individual. The patterns of the varieties may thus, like patterns of ribbon, be each represented by a drawing of a short piece of the body in the way adopted by the writers named. As regards the larv;e of Lepidoptera a good deal of information 1 tearing on this subject exists, and some of these results, especially those relating to Sphingidse, are of interest1. *464. ^n ^ne kirvjv °f "iany species of Sphingidse there is a more or less regular dimorphism in colour. Notable examples of this are AcJterontia atropos, Ch(erocan//»t elpenor, C. porcellns and M'jl<>**/it>x it is much rarer than the green form. Judging from the figures, the ground-colour of the segments generally varies as a 1 The facts which follow are ehietly taken from WILSON, Lame of Lepidoptera, IKS*); \YF.ISMANN-, Studies in 'I'lu-or// <>f Descent, Eng. Trans., 1882; POULTON, Truim. Knt. Soc., 1884, 1885, 1880, 1887; BUCKLER, Li a series of segments is to be seen in Saturnia earpini. In this species besides change in the tint of the green _'i »und-colour [two chief tints being found, one dark and one light] there is immense difference in the amount of black pigment deposited, mo.-t marked in the last two stages of the larvse. Good figures and descriptions of these are given by WEISMANN (PI. vin.). Though no two .segments are alike and though there are differences perceptible even bet ween the two sides of most segments, yet the general scheme of colour of eaeh individual is carried out with fair constancy over the several segments. As I have myself seen, the lightest and darkest may both be reared from one batch of eggs and in the same breeding- cage or slee\ e. 469. The colour of the tubercles of S. earpini also varies greatly. They may be light yellow, dark yellow, pink, violet, or white, but the yellow and pink forms are the commonest. As I have myself observed, there is generally a close agreement between the different tubercles of each larva in point of colour. In a few specimens I have seen the tubercles of the anterior and posterior segments pinkish, while the remainder wen? yellow, but this diversity is exceptional. The importance of this case is increased by the fact that POULTOX (1887, p. 311) has found that the offsjiriiii: of a pair whose tubercles had been pink shewed a high proportion of larva' with pink tubercles. The two parents were from a lot of 80 larvae found together, of which only 3 had pink tubercles : but of their 88 offspring 64 had pink tubercles. 470. The case of the occurrence of red spots on the larvag of Smerinthus ocet/dtiix and S. pojmli1 may be quoted as an instance of great irregu- larity in the degree to which the segments agree in their colour- variations. This well-known case is also of great interest as an example of a parallel variation occurring in different species. The larva1 of both species are most commonly without any red spots, but not rarely a number of red spots are present. In extreme cases each of the spiracles is surrounded with red, and there is in addition a row of red spots in the sub-dorsal region of all segments from the 1st thoracic to 7th abdominal, and also a red spot on each clasper. The number of spots, number of rows, the size and tint and distinctness of the spots is exceedingly variable. In point of time the spots of the 3rd abdominal segment appear first and those of the 2nd thoracic next (POULTOX, 1887, p. 28f>, Arc.). Though in much spotted specimens the spots may remain till the larva is full-fed, in some cases a few spots appeal- at an early stage and are afterwards lost. Among the individuals of the same brood there may be great diversity, some having spots and others being without them (PouLTON, 1887, p. 287). In several cases a spot present on one side of a segment has been found absent on the other side. As Poulton observes, it is especially 1 I have not referred to the case of S. tilia, as it is possibly of a different nature. CHAP, xii.] COLOURS OF CHITONS. 307 remarkable that though there are no spiracular openings on the rneso- and meta-thoracic segments, yet in cases of extremely spotted larvae there are red spots at the level of and continuing the spiracular series of spots upon these segments also («S'. ocellatus, BUCKLER, PI. xx. tig. 1 a; POULTON, 1887, PI. x. fig. 1. S. populi, POULTON, 1887, p. 286). As an indication of an element of detiniteness in this variation may be mentioned the fact that in fully spotted larvee of S. populi the sub-dorsal spot on the 7th abdominal seems to be always the smallest in that row (POULTON, 1887, p. 285; WILSON, PI. v. fig. la; FLEMYNG, Ent., 1880, p. 243, etc.). In our present consideration the fact that these very large variations sometimes occur simultaneously over a large range of segments and are sometimes restricted to particular segments is of considerable importance. We may note that WEISMANN (p. 360) is prepared to believe that these spots represent a new variation arising similarly and indepen- dently in the different species of Smerinthus. As however is usual in cases of considerable Variation an attempt has been made to lessen the value of these indications of the magnitude of Variation by sug- gesting that they may be of the nature of " reversion " (PouLTON, 1884, p. 28). Apart however from a general reluctance to recognize the possibility of the occurrence of large variations there seem to be no special grounds for the suggestion here. It is nevertheless true that in the case of the Smerinthus larvse a complete disproof of the hypothesis of " reversion " is wanting. This is only to be obtained in cases (like that of D. euphorbia?}, in which a great number of complex and mutually exclusive variations exist side by side. In the absence of such complete refutation the hypothesis of reversion may still find favour. *471. Chitonidae. The following facts observed in certain Chitons are given in illustration of the existence of a similar possibility of simultaneous Variation between parts which are repeated in series but whose repetition is not of the kind commonly included in the term Metameric. Unfortunately the material at hand is very limited and I do not know what might be the result of further examination, but the facts seen suggest that the subject is worth investigating. The dorsal plates of Chitons are eight in number. Though the colours and markings in different species are complex and various yet in many species all the plates are alike or nearly so. The question then arises do all the plates change colour together, or do they change one by one, or otherwise ? From the few observations made it seems that in this respect the species differ, but variation uniformly occurring in all the plates seems to be rare. This may perhaps be due to the constitution of such specimens as separate species, but I saw little likelihood of this. On the other hand in several cases the same variation was present in more than one segment, and in particular there was strong evidence that in some species the segments 2, 4 and 7 shew a noticeable 20—2 308 MERISTIC VARIATION. [PART I. agreement with each other in colour-variation. The specimens are all in the Mat-Andrew Collection in the Cambridge University Mii-einn, and I have as usual simply followed the labelling of the specimens. C. ui-l'itxttini, An-tialia. 10 specimens, of which the plates in 6 are nearly uniform. In one there is a white hand in the centre of each plate; in 2 the plates are irregularly coloured; in one the plates 1 and 0 agree in being broadly marked with whitr. ( '/til', n lii'iimilii, IVru. 4 specimens. 3 are uniformly dark brown; but in the other specimen there is a .-//•«/<;/ u-ltitt' mark on the centre of plates 2 — 7, and a faint one on plates 1 and 8. C. elegant, Chili. 2 specimens. In one, complicated markings are repeated on each plate nearly uniformly; in the other specimen a much simpler pattern recurs on , iir/i .-I'liiin nt. On the other hand, C. pellis-serpentis, New Zealand, 8 specimens: great di- versity of markings and no uniformity among plates in 4 specimens, but in one specimen plate* 2 — 5 were black and the rest light-coloured. Similar want of uni- formity among the plates in 2 specimens of C. incanus, New Zealand. The evidence of agreement between segments 2, 4 and 7 in the following cases is very .strikm-. C. I Tniiifini iimriiinri'iia, "Hebrides, <$rc." 18 specimens, all of a light brown colour marked with dark red. In 1 specimens the plates are uniformly marked or nearly so. In 6 specimens plates 2, 4 and 7 are much darker than the others, being for the most part of a uniform dark red. In 5 specimens plates 2, 4, 7 and 8 are darker than the rest. In 1 specimen plates 2, 4, 5 and 7 are darker than the rest. In 2 specimens the central parts of most of the plates have dark markings, but no segment is specially distinguished. Of 18 specimens therefore 12 have plates 2, 4 and 7 darker than the rest. Among 3 specimens of the same species from Gr. Manan (N. America) 2 are nearly uniform throughout, but iu one plates 2, 4, 7 and 8 are much darker than the rest. C. (Toniciit) liwatus, 2 specimens. In one the markings on all the plates are nearly similar, and the white wavy stivaks characterizing the species are almost similarly distributed on the sides of all the plates. In the other specimen these lines are absent on the plates 2, 4 and 7, which are much darker than the rest; but the lines, though less extensive than in the first specimen, are present on plati-> 1, :?, 5, 6 and 8. The preceding evidence may suffice to indicate the nature of this important question of the degree to which the colour-variations of parts repeated in Linear Series may be similar and simultaneous, a question which, as must be evident, is of the highest consequence in estimating the magnitude of the steps by which Evolution may proceed. To the consideration of this matter it will be necessary to return when the evidence of Substantive Variation is considered. Meanwhile it, will not be forgotten that though we have only spoken of this question in reference to colour and to Linear Series, t he same question arises also with regard to other variations and in reference to all parts which are in any way repeated and resemble each other, whether such repetition is strictly serial or not. In a survey of any group of animals cases will be seen in which organs in one region are repetitions of organs in another region though CHAP, xii.] SIMULTANEOUS VARIATION OF SERIES. 309 not necessarily in serial homology with them in any sense in which the term is commonly used. Many such cases were spoken of by Darwin in the chapter on " Correlated Variability1" and are now famous. The simultaneous colour-variations of the mane and tail of horses2, the correspondence between the large quills of the wings and those of the tail of pigeons3 and other birds are among the most familiar of such cases. When with such facts in mind we turn to some species which differs from an ally in the presence of some characteristic develop- ment or condition common to a number of its parts, in making any estimate of the steps by which it may have been evolved it must be remembered that it is at least possible that the common feature characterizing these several parts may have been assumed by all simultaneously. To take a single instance of this kind, the species of the genus Hippocampus, the Sea-horses, have the shields produced into more or less prominent tubercles or spines. The back of the head is also drawn out into a prominent knob. In an allied genus from Australia, Phyllopteryx, many of these spines are provided with ragged looking tags of coloured skin, like the seaweed which the fishes frequent4, giving the animal a most fantastic appearance and no doubt contributing greatly to its concealment [probably from its prey]. If in this case it were necessary to suppose that the variations by which this form has departed from the ordinary Hippocampi had occurred separately, and that each spine had separately developed its tag of skin, the number of variations and selections to be postulated would be enormous ; but probably no such supposition is needed. We are, , Artiodactyles, &c. To these are added a few facts as to digital variations in Birds, but from the scantiness of the evidence and the difficulty of determining the morphology of the parts I have not found it possible to give a profitable account or these phenomena in other vertebrates below Mammalia. In most of the groups increase in number of digits may be seen to occur in several distinct ways ; and, just as in the case of teeth, mamma'. &c., it is possible to recognize cases of division of single members of series, and cases of addition to the series CHAP, xui.] DIGITS : CAT. 313 either at one of its ends (often associated with remodelling of other members of the series) or in the middle of the series. Reduction in number of digits, or ectrodactylism as it is often called, is usually so irregular in the manner of its occurrence that little could be done as yet beyond a recitation of large numbers of cases amongst which no system can be perceived. For the present therefore the interest of these observations for the student of Variation is comparatively small and they are for the most part omitted. To the irregularity of ectrodactylism in general certain cases of syndactylism are a marked exception and of these an account will be given. After stating the morphological evidence as to numerical Variation in digits in the several groups, reference will be made to some collateral points of interest concerning such variations. There is a good deal of evidence respecting the recurrence of digital variations in those lines of descent wherein they have appeared. Facts of this kind have been frequently seen in the case of Man, and other examples are known in the Cat, the Pig, the Ox, Deer, Sheep, &c. References to these cases will be given. It will be seen that the facts contained in this section of evidence are of consequence rather as indicating the limits set on Variation, and from their bearing on the question of the nature of Symmetry and of Homology, than from any more direct appli- cation to the problem of Species, but even this cannot be said with much confidence. There are in certain groups limbs such as the pes of Macro- or that of Peramelidas whose appearance forcibly recalls what is seen in some teratological cases and the possibility that they may have had such a sudden origin may well be kept in view1. CAT. The apprehension of the chief features in the evidence as to digital variation in the Cat will be made more easy if a general account of the subject be given as a preliminary. In order to understand the peculiar phenomena seen in the limbs of poly- dactyle cats certain points of normal structure are to be re- membered. Of these the most important relate to the claws and their disposition with regard to the second phalanx ; for it is by this character that the relation of digits to the symmetry of the limb may be determined. 1 In the case named this is all the more likely from the circumstance that according to THOMAS, Cat. Marsup. Brit. Mus., p. 220, there is reason for supposing that the extraordinary condition of the digits II and III was attained independently in these two groups. 314 MERISTIC VARIATION. [PART I. ////<'/ foot. The phenomena seen in the case of the hind foot are in some r. -pects simpler than those of the variations in the fore foot, and t'ui- thU reason they may conveniently be described first. If the phalanges of the index of the hind foot, for example, be examined, it will be seen that the proximal phalanx is nearly bilaterally symmetrical about a longitudinal axis, but that the -econd phalanx is deeply hollowed out upon the external or fibular >ide. Into this excavation the ungual phalanx is withdrawn when the claw is in the retracted position. The retraction is chiefly effected by a large elastic ligament running from the outside of the distal head of the second phalanx and inserted into the upper angle of the last phalanx (see OWEN, Anat. and Phys. of Vert., in. p. 70, tig. W>). Tlie same plan is found in the digits II to V both of the fore foot and of the hind foot. By this asymmetrical re- traction of the claw a digit of the right side may be differentiated at a glance from one of the left side, for the claw is retracted to the right side of a right digit and to the left side of a left digit. The importance of this fact will be seen on turning to the evidence, for it is found that with variation in the number of digits there is a correlated variation in their symmetry. With respect to the tarsus little need be said. The proximal part of the tarsus contains three bones, the calcaneum, astragalus and navicular. The distal row consists of four bones, the cuboid and three cuneiform bones. In the majority of polydactyle cats that I have seen in which the tarsus is affected, the cuboid is normal and the ecto-cuneiform is also normal and recognizable ; internal to the latter there are three small cuneiforms articulating with the navicular instead of two, making four cuneiforms in all. In some specimens there is no actual separation between the two innermost of these cuneiforms, but the lines of division between them are clearly marked. In the normal hind foot of the Cat there are four fully formed toes, commonly regarded as II, III, IV and Y, each having thn-e phalanges. In the place where the hallux would be there is a small cylindrical bone articulating at the side of the internal cuneiform. As usually seen, all the four digits are formed on a >imilar plan, each having its claw retracted to the external or fibular side of the second phalanx, the four digits of a right foot being all right digits and those of left feet being all left digits. The rudimentary hallux has of course no claw. Starting from this normal as the least number of digits, it will be found that a large proportion of cases are such that they may be arranged in an ascending or progressive series. In this series the following Conditions have been observed. In the schematic representations of the limbs the words 'Eight' or 'Left' signify that a digit is shaped as a right or as a left. The Roman numeral CHAP, xni.] DIGITS : CAT. 315 indicates that the digit to which it is assigned has the tarsal or carpal relations of the digit so numbered in the normal. For brevity each is described as a riyltt foot. I. The normal, consisting of four three-phalanged digits, each retracting its claw to the external, viz. right side, and a rudimentary hallux with no claw. In this foot therefore the digits enumerated from the external side are Eight. Eight. Eight. Eight. Eudiment. V IV III II I II. Five digits, each with three phalanges. Of these the minimus and annularis borne by a normal cuboid are normal and are formed as right digits. The medius is borne by a normal ecto- cuneiform and is also a true right digit. Internal to this is a full- sized digit having the relations of an index and borne by a bone placed as a middle cuneiform. But the claw of this digit cannot be retracted to the external side of the limb, for the second phalanx is not excavated on this side. There is on the contrary a slight excavation on the internal side of the second phalanx, but this is very incomplete and the claw cannot be fully retracted, being in fact almost upon the middle line of the digit when bent back. This digit is thus intermediate between a right and a left. Nevertheless it is truly the index of this right foot, for it has the tarsal relations of an index. Internal to this digit is another, which by all rules of homology should be the hallux, but it has three phalanges and is fashioned as a left digit, retracting its claw to the left (internal) side of the digit. This digit (Fig. 85, II, d1) is borne jointly by two cuneiforms, c1 and c'2, as shewn in the figure. There is thus one cuneiform more than there is in the normal. In this foot therefore the digits enumerated from the external side are as follows :— Eight. Eight. Eight. Indifferent. Left. V IV III II I Such a specimen is No. 472, right pes. Between this state and the normal I have as yet met no inter- mediate. It might perhaps have been expected that a foot having four three-phalanged digits and a hallux with two phalanges would be a common form of variation. Such a condition has not however been seen, so far as I know. III. The foot shewn in Fig. 85, 1 exemplifies the next condition. In it the three external digits, which are structurally the minimus, annularis and medius of a normal foot are normal in form, position and manner of articulation with the tarsus. Internal to the medius are three digits, of which the innermost has two phalanges (Fig. 85, I, d1) and a claw which cannot be retracted, like the pollex of the normal fore foot. The other digits, d3 and d\ are fashioned as left digits, retracting their claws to the internal or left side of the limb. It will be seen that of them d3 has the 310 M ERISTIC VARIATION. [PART I. relations to the tarsus which an index should have. The tarsus is as in tin- last Condition. In tin- specimen seen, c1 and c2 were not actually separate from ea«-h other, but there was a distinct line of division between them. Hen- then the digits enumerated from the external side are as follows:— Right. Right. Right. Left. Left Hallux-like V IV III II digit digit IV. The stage next beyond the last is shewn in Fig. 87, II. [The drawing is from a left foot.] Here there are six digits, each with three phalanges. The three externals are normal and true rights as before. The other three are all formed as lefts. Tarsus as before. This foot may be represented thus :— Right. Right. Right. Left. Left Left V IV III II digit digit As far as I have seen the last or fourth Condition is the com- moner. There are doubtless many variants on these plans. No. 477 is an especially noteworthy modification of the third Condition and the cases of the hind feet in No. 478 must also be specially studied us not conforming truly to either Condition. Forefoot. I. The normal right fore foot has four digits II — V each with throe phalanges all differentiated as rights, and a pollex with two phalanges, the last being non-retractile but bearing a claw. It may be represented thus :— Right. Right. Right. Right. Pollex. V IV III II I Departures from this normal are more irregular than they are in the case of the hind foot. Those given in this summary being only a selection. For the others the evidence must be examined. II. One specimen, No. 474, has the four external digits normal. The pollex however has three phalanges and is formed as a digit of the other side, thus :— Right. Right. Right. Right. Left. V IV III II I III. The next Condition seen was as follows: — Right. Ri«ht. Right. Ri»ht. V IV III II rt c3 O .2 &, 0 y> >-, a •— eS O. n O OQ Left Indifferent digit digit IV. In the majority of polydactyle cats the manus has the digits II — V normal in shape and symmetry. Internal to the • li^it II are two digits more or less united in their proximal parts; -oinrtinirs the niftaearpal only, sometimes the metacarpal and first phalanx are common to both. Of these two digits the external, CHAP, xin.] DIGITS: CAT. 317 that is, the one iiext to the digit II, is in some degree shapeless and imperfect, but the external branch is as a digit of the other side in form. Internal to this double digit is a seventh digit, sometimes with two phalanges, sometimes with three, but in either case the claw is as a rule non-retractile, and the digit is in this respect not differentiated as either right or left. Such a manus may be thus represented (cp. Fig. 86 a left manus) : — Eight. Eight. Right. Eight. Amorphous Left Indifferent V IV III II digit digit digit As regards the carpus its changes are like those of the tarsus. When there are six metacarpals there are three carpals in the distal row internal to the magnum. That next the magnum may be supposed to be trapezoid, and the other two may be spoken of as first and second trapezium. In correspondence the length of the scapho-lunar is increased. No comment can increase the interest of these curious facts. In the pes, as has been stated, with change in the number of digits there is change in the grouping and symmetry of the series of digits, and in particular the digit having the relations of the index or digit II is formed as the optical image of its neighbour III instead of forming a successive series with it. There is thus a new axis of symmetry developed in the limb, passing between the parts which form the digits II and III of the normal. The evidence of the above statements may now be given. *472. Cat having the digital series of each extremity abnormal, being that preserved in the Coll. Surg. Mus., Teratological Catalogue, 1872, Nos. 305 and 306. Right pes (Fig. 85, II). Digits III, IV and V normal right digits. Internal to these are two digits each having three phalanges and claws. That lettered d1 is formed as a left digit but d? is al- most indifferent, the second phalanx being slightly hollowed on the inside. Internal to the external cuneiform there are three small bones, of which the inner two together bear the digit d1. [This is the Condition II of the pes.] Left pes has the same structure as the right so far as can be seen from the preparation (in which the muscles remain). The digits III, IV and V are normal left digits, but internally to them there are two digits each with three phalanges, of which the external is an indifferent digit, while the internal is formed as a right. [Condition II of the pes.] Left manus. The digits II, III, IV and V are normal. But the carpal of the distal series (trapezoid) which bears the digit II is imperfectly separated from a similar bone placed internal to it. This second part of the trapezoid bears a metacarpal which articulates with a full-sized digit of three phalanges formed as a right digit. From the external side of the first phalanx of this 318 MERISTIC VARIATION. [PART i. digit there is given off a rudimentary digit, which has however a complete claw, but its bones do not differentiate it as right or left. II d- cu FIG. 86. Left inanus of Cat No. 472, shewing Condition IV of the rnanus. cu, cuneiform. dl — d7, digits numbered from the inside, m, magnum, sclu, scapho-lunar. Tp, trapezoid. (From a specimen in Coll. Surg. Mus.) cuneiform (cb and ect. cu} are also normal. Internally to the ex- ternal cuneiform there is a long flat bone which is grooved in such a way as to divide it into three parts (cj~3) and each of these bears a digit. Of these digits, d2 and d3 have each three phalanges, but dl has only two phalanges and may therefore be called a hallux. The digits d* and d3 are fashioned not as right digits but as left digits, and their claws are thus retracted towards the internal side of the second phalanges, which are hollowed out to admit of this. The bones of the hallux are not thus differentiated as right or left, for the claw is not retractile. The navicular is enlarged in correspondence with the presence of the fourth cuneiform element and the astragalus and calcaneum are normal. (Fig. 85, 1). [Con- dition III of the pes.] Left pes. This foot is almost exactly like the right. As in it, the digits III, IV and V are normal and are left digits. Internal to this are three digits, viz. a hallux and two long digits with three phalanges which are both made as right digits. The bones of this foot have not been cleaned. [Condition III of the pes.] Right manus. This is formed on the same plan as the manus of the last animal, differing from it in details of the carpus, chiefly in the presence of two separate trapezial elements. The four digits on the external side, II — V are shewn by their claws to be true 320 MERISTIC VARIATION. [PART i. right dibits. They articulate in a normal way with the trapezoid. magnum and iinciforin, and are thus clearly II, III, IV and V. Tin- metararpals of the " pollex " and of the double digit corre- sponding to d* and d* of Fig. 86 articulate with two separate carpal hones of the distal row. The external of these bears a rather thick HM -tatarsus which peripherally gives articulation to t\v<> dibits. Of these the internal is well formed and bears a claw which slides up on its internal side, and thus shews it to be formed as a /£/'£ digit, The other is misshapen in its proximal phalanx which perhaps contains two phalangeal elements compounded together and aborted ; hence the relation of this digit to the symmetry of the limb is not apparent. The claw and last phalanx are well ton i icd. The innermost carpal bone is nearly normal and bears an almost normal " pollex." [Condition IV of the manus.] Left manus. This foot has not been dissected, but from ex- amination it appears that the digits II, III, IV and V are normal like those of the right manus. As in it, there is a " pollex " with two proper phalanges, but the metacarpal of the " pollex " is in its proximal part united with the metacarpal of an imperfectly double digit corresponding to d* and d3 of Fig. 86. The division between the two parts of this double digit is not so complete in the left manus as it is in the right and from external examination it appears that the phalanges of the two are not separate. There are two claws of which one is rudimentary and the pads of the two are separated only by a groove. There is nothing to indicate whether these digits are formed as right or left digits. [Approaches Con- dition IV of the manus.] *474. Cat having supernumerary digits. This specimen belonged to the strain of polydactyle Cats observed by Mr POULTON (see No. 480) and I am indebted to Mr J. T. CUNNINGHAM for an oppor- tunity of examining it. Left manus. Five digits, the normal number. The " pollex " however is a long digit, composed of three phalanges, which reaches very nearly to the end of the index. The claw of this digit is not retracted to the outside of the second phalanx, like that of a normal digit, but to the inside, and the chief elastic ligament is on the inside of these joints instead of being on the outside as in a normal digit.. This pollex therefore may be said to be fashioned as ;i riijht digit, bearing the same relation to the others as a right hml) liears to the left. The flexors and extensors of this digit were fully developed. The carpal series was normal. [Condition II of the manus.] /»'/;//// Humus. Six digits fully formed, one bearing an additional nail on the third digit from the inside. Ueginning from the outer or ulnar side, there are four normal right digits, placed and formed as V, IV, III and II respectively. Internal to these are two digits, the outermost having three phalanges, being shaped as a l<'ft digit and bearing a minute supernumerary nail in the skin CHAP, xm.] DIGITS: CAT. 321 external to the normal nail. The innermost digit has two pha- langes, and is formed like a normal pollex, excepting that its claw was very deep and looked as if it were formed from the germs of two claws united and curving concentrically. The carpus as regards number of elements was normal, but the trapezium and trapezoid were both of rather large size, and the pollex articulated partly with the trapezium but chiefly with the downward process on the radial side of the scapho-lunar. [This approaches Condition IV of the manus, but in it the external of the two united digits is only represented by the minute extra nail.] Left pes. Six digits, each having three phalanges. The three outer digits were formed as left digits, but the three inner digits were shaped like right digits. The internal cuneiform is double the normal size, but is not divided into two pieces. It bears the two internal digits, of which the innermost is ankylosed to it. [Condition IV of the pes.] Compare Fig. 87, II. Right pes. Same as the left, except for the fact that the two internal digits are completely united in their metacarpals and first phalanges, and the cuneiform series consists of four bones, two of which correspond to the internal cuneiform of double size described in the left foot. (Compare Fig. 85, I, c1 and c2.) [Condition IV of the pes, save for the union of the metacarpals of the two internal digits.] 475. Kitten belonging to Mr Poulton's strain (see No. 480) and kindly lent by him to me for examination. The specimen was very young and the carpus and tarsus were not dissected. Left manus. Six digits, all with three phalanges. The two internal digits are separated by a space from the others so as to form a sort of lobe. The claw of the innermost digit is re- tracted on the top of the second phalanx and not to the side, so that this digit is not differentiated either as a right or a left. The next digit is a right and the four external digits (II, III, IV and V) are normal lefts. [Condition III of manus.] Right manus. Same as left. Left pes. Same as left pes of No. 474 [sc. Condition IV of the pes]. Right pes : same as the left [Condition IV of the pes]. 476. Cat having its extremities abnormal, the property of the Oxford University Museum and kindly lent for examination; bones only preserved. Right pes. Like the left pes of No. 474, but c1 not separated from c*. [Condition IV of pes.] Left pes. Like the right, but c1 separate from c2. [Condition IV of pes.] Right manus. The four external digits II — V normal. The double digit like that of No. 472. The innermost digit with three B. 21 MKI;I>Tlr VARIATION. [PART i. phalanges, but the claw not retracted to one side more than to the other. [Condition IV of the rnanus.] Left /nan us. The same as the right. [Condition IV of the man us.] *477. Cat having all extremities abnormal, also the property of the Oxford University Museum. Left pen. Like the left pes of case No. 474 [sc. Condition IV of the pes] represented in Fig. 87, II. l!'»jht pes a peculiar case (Fig. 87, I). The digits V, IV and III are normal right digits. The digit IJ marked 8 in the figure is cb-C e.cu FIG. 87. Hind feet of Cat No. -177. I. Ri^'ht pes not truly conforming to any of the Conditions numbered. II. Left pes shewing the ordinary form of Condition IV of the pes. Lettering as in Fig. 85. (From a specimen in Oxford Univ. Mus.) very slightly differenl iated us a right digit, but the excavation on the external side is very sii^lit , and the claw when ret racted is almost on the middle of the second phalanx. The digit 2 of the figure is a left, and internal to it is a three-phalanged digit, of which the claw is not retracted into any excavation. [Not conforming to any of the Conditions specified.] 478. Cat having all feet abnormal, kindly lent to me by Mr Oldfield Thomas. CHAP. XIIL] DIGITS : CAT. 323 Left pes. Digits V, IV, III normal lefts. The next internally (II) is a three- phalanged digit formed as a right. The next is a thick three-phalanged digit with a partially double nail and double pad. This is not differentiated as either right or left. The innermost digit is a two-phalanged hallux-like digit, not differentiated as right or left. [Not conforming to any condition in my scheme.] Right pes. The same as the left except that the digit II is only slightly differentiated as a left. The next has a double nail, and the innermost is hallux-like as described for the other foot. [Not conforming to any condition of my scheme.] Right manus. As in No. 472. "Pollex" with two phalanges. [Condition IV of the manus.] Left manus. Same as right, but the " pollex " is only repre- sented by a single bone not differentiated or divided into meta- carpal and phalanges and bearing no claw. [Approaches Condition IV of the manus.] 479. Cat. A left pes bearing abnormal digits. The digits II, III, IV and V are normal and are true left digits. Internal to these are two metatarsals which are united centrally and peripherally but are separate in their middle parts. These two metatarsals by their common distal end bear amorphous phalanges belonging to three digits. There are two large claws and one rudimentary one. [For details the specimen must be seen.] The navicular bone is divided into two distinct bones, of which one carries the external cuneiform and a small cuneiform for the digit II, the metatarsal of which is rather slender and compressed in its proximal part. The internal part of the navicular bone bears two cuneiforms, one for each part of the united metatarsals. The digits borne by these metatarsals are so misshapen that it is not possible to say anything as to their symmetry. Mus. Coll. Surg., Terat. Catal., No. 306 A. [This specimen does not conform to any of the Conditions of my scheme.] *480. In the case of the Cat the polydactyle condition has been observed by POULTOX (Nature, xxix. 1883, p. %Q,figs.; ibid., xxxv. 1887, p. 38, figs.} to recur frequently in the same strain. A female cat had six toes on both fore and hind feet. The mother of this cat had an abnormal number of toes not recorded. The grandmother and great-grandmother were normal. Two of the kittens of the 6-toed cat had seven toes both on the fore and hind feet [no 7-toed pes among specimens examined by me]. Many families produced by the 6-toed cat, and among them only two kittens with 7 toes on all feet, but between this and the normal numerous varieties seen. The abnormality is not in all cases sym- metrical on the two sides of the body. The pads of the different toes are sometimes compounded together. In some cases an extra pad was present on the hind foot behind and interior to the central pad. The second pad was sometimes distinct from the central pad and sometimes was united with it. [From the figures it appears that the secondary 21—2 324 .M ERISTIC VARIATION. [PART I. central pad in the pes bore to the digits internal to the axis of sym- metry a relation comparable with that which the chief central pad bears t<> the digits III — V, but the secondary central pad is at a higher level than the primary one.] It was especially noted that the details in the arrangement of the pads were inherited in several instances. The history of the descendants of the 6-toed cat was followed and a genealogical tree is given shewing that the abnormality has been present in a large proportion of them. This was observed in five generations from the original G-toed cat, so that including the mother of the 6-toed cat the family has contained polydactyle members for seven generations. It may reasonably be assumed that in most of these cases the fathers of these kittens have been normal cats and a good deal of evidence is adduced which makes this likely. It was observed also that some normal cats belonging to this family gave birth to polydactyle kittens. In the later period of the life of the original 6-toed cat she gave birth to kittens which were all normal. I know no case of reduction in number of digits or of syudac- tylism in the Cat. MAN AND APES. INCREASE IN NUMBER OF DIGITS. Increase in the number of digits occurs in Man in many forms. Among them may be distinguished a large group of cases differing among themselves but capable of being arranged in a progressive series like that described in the Cat. These cases are all examples of amplification or proliferation of parts internal to the index of tin1 manus. Taking the normal as the first Condition, the next in the progress is a hand having the digits II — V normal, but the thumb with thivr phalanges, or as the descriptions sometimes say, "like ;in index." (Condition II.) In the next condition a two-phalanged digit is present internal to the three-phalanged ••thumb." (Condition III.) In the next Condition the digit internal to the three-plmlanged "thumb'' has itself three phalanges. (Condition IV.) A variant from this oc- curred in the left hand of a child (No. 488) of parent having hands in ( 'ondition IV. In the child the right hand was in Condition IV, but in the left there were the usual four digits II — V, and internal to ih. 'in two complete digits, each of three phalanges, but of these the external had a small rudimentary digit arising from the meta- carpus. Hence the hand may be described as composed of two groups, the one containing four and the other three digits. In one case, \... 4IMI, I he ri^lit hand was in Condition IV, but the left hand was advanced further. For in it the metacarpal of the innermost digit bore a 2-phalanged digit internally to its 3-phalanged digit. This may be considered as a Condition V. CHAP, xin.] DIGITS: MAN. 325 The number of phalanges in the digits in these Conditions may be represented thus. The || marks the metacarpal space. (The hand is supposed to be a right.) Condition I 2 || 3 3 3 3 II 3 || 3333 III 2 3 || 3 3 3 3 IV 3 3 || 3 3 3 3 V 2 3 3 || 3 3 3 3 Distinct from these Conditions are the states sometimes described as ': double-hand." In the full form of this there are eight digits, each of three phalanges. The eight digits are arranged in two groups, four in each group. The two groups stand as a complementary pair, the one being the optical image of the other ; or in other words, the one group is right and the other is left. Besides the double-hand with eight digits there are also forms of double-hand with six digits, arranged in two groups of three and three. Lastly, there are cases of double-hand having seven fingers, an external group of four and an internal group of three. Thus expressed these cases seem to come very near that mentioned as a variant on Condition IV, but in one and perhaps both of these double-hands there was in the structure of the fore- arm and carpus a great difference from that found in the only recorded skeleton of Condition IV. At first sight it would naturally be supposed that these double- hands in one or all kinds stand to the other Conditions in the some relation that Condition IV of the pes in the Cat does to the other polydactyle conditions in the Cat. But the matter is complicated by the fact that the evidence goes to shew that in the human double-hands the bones of the arm and carpus may be modified, and in DWIGHT'S example of seven digits (No. 489) at all events, and perhaps in other double-hands, an ulna-like bone takes the place of the radius, or in other words, the internal side of the fore-arm is fashioned like the external side. In the polydactyle cats the bones of the fore-arm were normal, as are they also substantially in cases of the human Conditions III and IV, which have been dissected. Further, in some of the human cases of eight digits the abnormality was confined to one hand, which is never the case in the higher condition of polydactylism in the Cat, so far as I know. These circumstances make it necessary to recognize the possibility that some at least of the human double-hands are of a different nature from the lower forms of polydactylism. This subject will be spoken of again after the evidence as to the variation of digits has been given (Chap. xiv. Section (4).) 326 .M HRISTIC VARIATION. [PART I. In addition to cases more or less conforming to schemes that can be indicated art- several which cannot be thus included. These will be duly noticed \\ln-n the more schematic cases have been described. That any of the cases can be arranged in a formal sequence of this kind is perhaps surprising, and the relations of some nt the < Conditions, II and III fur instance, to each other must at once recall the principle seen already in other examples of addition of a member at the end of a successive series of parts, notably in tin ea>e of Teeth (see p. 272). It was then pointed out that \vheu a new member is added beyond a terminal member whose size is normally small relatively to that of the normal penultimate, then the member whieh is normally terminal is raised to a higher condition. Now this same principle is seen in ( 'oiid it ion III of t lie polydactyle manus. Attention must nevertheless be forthwith called to the fact that a t \vo-phalanged digit1 may be present internal to the thumb (usually arising from it) though the thumb has still but two phalanges. J5ut generally these cases may properly be described as examples of tl/iji/irity of the thumb; and as was well seen in the case of Teeth, any member of a series may divide into two though the rest of the series remain unaltered. Duplicity of a member without reconstitution of the series is to be recognized as one occurrence, and change in number associated with reconstitu- tion of other members especially, of adjacent members, is another. In Teeth and other M eristic series these two phenomena are both to be seen, though as was pointed out (p. 270) they pass insensibly into each other. Another feature to be specially mentioned in this preliminary notice is the difference in the manner in which the higher forms of polydactylism appears in the human foot from that seen in the human hand. In the hand there is this strange group of cases forming a progress from the normal hand to Condition V, besides the distinct series of double-hands. Polydactyle feet on the con- trary do not in Man, so far as they have been observed (with the doubtful exception of Nos. 499 and 500), develop a new symmetry. CASES OK I'OLYDACTYUSM ASSOCIATED WITH CHANGE OF SYMMETRY. A. l)i. .S")0, jiff*. [Right hand Condition IV, left hand Con- dition V.] 401. Chilil ImviiiL' six lingers on each hand. The fingers were uniU'd together. In the thumb [?both] there were three phalanges and the length of the thumb was as great as that of the "other fingers." Dnsois, Arch. gen6r. ',l., 1826, Ann. iv. T. xi. ji. 1 is ; this case is quoted by GKOFFROY Sx HILAIRK, lli*t. nrn male child having on the right hand two "thumbs" each with three ]>li:ilanues. Oi.uniXKKK, J. G., Sttirk'x .In-//./. Cflnirt.'ih., 1801, xv. p. 642. [Con- dition IV.] (No more cases known to me.) CHAP. XIII.] DOUBLE-HAND. 331 B1. Digits in two homologous groups, forming " Double-hands." *492. DOUBLE-HAND I. Seven digits in two groups of four and three. Male: left arm abnormal, having seven digits arranged in two groups, the one an external group of four normal digits, and the other an internal group of three digits2. (Fig. 91.) Described from a dried specimen in Mus. of Harvard Med. School. The man was a machinist and found the hand not merely very useful to him in his business, but he also thought that it gave him advantages in playing the piano. " The fore-arm consists of the normal left ulna and of a right one in the place of a radius. The left one shews little that calls for comment, excepting that there is a projection outward at the place of the lesser sigmoid cavity to join a corresponding projection from the other ulna. The upper surface of this projection articulates with the humerus. At the lower end the styloid process is less prominent than usual, and the head rather broad. The right or extra ulna is put on hind side before, that is, the back of the olecranon projects forward over the front and outer aspect of the humerus. If the reader will place his right fore-arm on the outer side of the left one he will see that it is necessary for the <^m* i •^ ,jw^--i 1 ia I II FIG. 91. I. The left hand of No. 492 from the dorsal surface. II. The humerus and two bones of the fore-arm at the elbow of the same case. 0, olecranon. O2, the secondary "olecranon". I, the inner condyle of the humerus. I2, the second or external " inner condyle." (After DWIGHT.) ulna to be thus inverted if the thumbs are to touch and the palms to be continuous. This olecranon is thinner, flatter, and longer than normal. The coronoid process is rudimentary. From the side of this process and from the shaft just behind it arises the projection already 1 Every case known to me is given. 2 This is the case reported by Jackson, to Bost. Soc. of Mfd. Imp., 18.VJ. 332 M ERISTIC VARIATION. [PART i. referred to which meets a similar one from the normal ulna [Fig. 89, II]. < )n the front of this there is a small articular surface looking forward which su'_rLTests ;i part of the convexity of the head of the radius. The ii|>]"T .-irt icular surface shews a fissure separating it from the side of i In- olecranoii which is not found in the normal ulna. These projections which touch each other are held together by a strong interosseous liga- ment. Th«- lower end of this ulna is very like the other, only somewhat broader. The mode of union of the lower ends could not be seen without unwarrantable injury to the specimen. There can hardly have been any definite movement between these bones. Perhaps the ligaments may have permitted some irregular sliding, but it is impossible to know. These bones have been described first because their nature is very clear and, once understood, is a key to the more difficult interpretation of the lower end of the humerus." The upper end of the humerus presented nothing noteworthy. A detailed description and figures are given, from which it appears that the lower end of the humerus had such a form as might be produced liy >awing off the greater part of the external condyle and applying in place of it the internal condyle of a riyht humerus. The carpus seen from the dorsal side had the structure shewn in the diagram (Fig. 92). The proximal row consisted of three bones besides the two pisiforms (pl and jr). There was a cuneiform at either side of the wrist, and between them a bone evidently composed of a pair of semilunars, having a slight notch in its upper border. At each end of Fi«. (,»2. Diagram of the carpal bones iu the left hand of No. 492 from the dorsal surface. pi.<1. <•)/', i/1, 7/i1, pisiform, cuneiform, unciform and magnum of the external or normal half of the hand consisting of four fingers ; pis'2, cu-, u-, m~, the similar bones for the internal group of three fingers. lul+", the compounded lunar elements corresponding to the two groups, j, bone placed as trapezoid. (After DWIOHT.) the second row is an unciform bearing the middle and ring fingers. Next came two ossa niagna very symmetrically placed, each bearing the metacarpal of a medius. Between these is a bone which DWIGHT states CHAP. XIII.] DOUBLE-HAND. 333 to have clearly represented the trapezoicl of the left hand, bearing an index finger. The metacarpals and phalanges needed no description. The muscles are described in detail [?.«.]. Some of the, features in the distribution of the arteries and nerves are of interest, and I transcribe Dwight's account in full. It appears that, like the bones, the vessels and nerves proper to the radial side of a normal left arm have in a measure been transformed into parts proper to the ulnar side of a right arm. "TiiE ARTERIES. The brachial divides at about the junction of the middle and lower thirds of the humerus. The main continuation, which is the ulnar proper, runs deeply under the band thought to represent the pronator radii teres, to the deep part of the fore-arm where it gives off the interosseous. Above the elbow there is a branch running backward between the internal condyle and the olecranon. The inter- osseous branches are not easy to trace. There seems to be an anterior interosseous and three branches on the back of the forearm, one running on the membrane and one along each bone. At least two of them share in a network on the back of the carpus. Having reached the hand the ulnar artery runs obliquely across the palm to the cleft between the two sets of fingers, supplying the four normal fingers and the nearer side of the extra middle finger. The other branch of the brachial crosses the median nerve and runs, apparently superficially, to the outer side of the fore-arm. It supplies the little and ring fingers and the corre- sponding side of the middle finger of the supernumerary set. There is no anastomosis in the palm between the superficial branches of the two arteries. Each gives off a deep branch at the usual place, which forms a deep palmar arch from which some interosseous arteries spring. There is also an arterial network over the front of the carpal bones. The arteries of the deep parts of the hand cannot all be seen. THE NERVES. The ulnar nerve proper pursues a normal course and supplies the palmar aspect of the little finger and half the ring finger of the normal hand. Near the wrist it gives off a very small posterior branch, which is not well preserved, but which seems to have had less than the usual distribution. The median nerve is normal as far as the elbow, running to the inner side of the extra condyle. It is then lost in the dried fibers of the flexor sublimis, from which it emerges in two main divisions near the middle of the fore-arm. The inner of these soon divides into two, of which one supplies the adjacent sides of the ring and middle fingers and the other those of the middle and index fingers of the normal hand. The outer division of the median supplies the outer side of the index and both sides of the extra middle finger and one side of the extra ring finger. One of the branches to the index gives off a dorsal branch, and there is a doubtful one for the extra middle finger. The musculo-spiral nerve passes behind the humerus as usual. A nerve which is undoubtedly continuous with it emerges from the hardened muscles over the fused outer condyles. It seems to be the radial branch changed into an ulnar. It runs with the extra ulnar artery to the hand and sending a deep branch into the palm, goes to the ring finger. There is a detached branch on the other side of the little finger which in all probability came from it. The deep branch sends a twig along the metacarpal bone of the ring finger. It probably 334 MKKISTIO VARIATION. [PART I. supplied the side of tin- rim; timber left unprovided for, but this is uncertain. Assuming this t<> h;i\e been the case, each ulnar nerve supplies the palmar surface of one linger and a lialf, the median supplv- iiiLC tin- remaining lingers of t)oth hands. Unfortunately no dorsal Kranehes except tliu.se mentioned have been preserved." DUICIIT, T., Mem. Boston Soc. of X. H.. 1892, Vol. iv. No. x. p. 47.S, Pis. X !.| 1 1 and XLIV. [This is a case of high significance. We shall come back tn it lu-ivat'tiT. Meanwhile it will be noted that in it we meet again the old dittiruliy so often presented by cases of Meristic Variation. In this fore-arm there is already one true ulna. Internal to it is another bone also formed as an ulna. We may therefore, indeed we must, call it an ulna. But is it an "ulna"? To answer this we must, first answer the question what is an ulna? Similarly, is the second pisiform a "pisiform," or is the second ulnar nerve an " ulnar " nerve ? These questions force themselves on the mind of anyone who tries to apply the language of orthodox morphology to this case, but to them there is still no answer. Or, rather, the answer is given that an " ulna," a " pisiform " and the like are terms that have no fixed, ideal meaning, symbols of an order that we have set up but which the body does not obey. An " ulna" is a bone that has the form of an ulna, and a " pisiform " is that which has the form of a pisiform. [f we 1 1 y to pass behind this, to seek an inner and faster meaning for these conceptions of the mind, we are attempting that for which Nature ^ives no warrant : we are casting off from the phenomenal, from the things which appear, and we set forth into the waste of metaphysic.] 493. P'".v ha\ing abnormalities in the left hand as follows. The four outer lingers II — V are normal in form and proportions. Internal to these is firstly an opposable digit with a single metacarpus and single proximal phalanx but having two distal phalanges side by side webbed together. Internal to this partially double thumb are two digits in series, each with a metacarpal and three phalanges, respectively re- >emliling the annularis and minimus of a /•!;///(, hand. SxRUTlIERS, Edin. New /'////. ,/<>iir., 186-'} (2), p. 90, PI. n. fig. 5. [Not representing any uf t IK- Conditions.] 41)4. Male infant, one year and live months, examined alive, having the right hand abnormal, possessing seven digits, arranged in two groups, an ulnar group of four and a radial group of three. Each digit had three phalanges, but the ring and middle lingers of the ulnar group are webbed in the region of the proximal phalanges. The ulnar group seemed to articulate with the carpus in the usual uay. The radial group probably formed joints with more thau one facet on the trapezium, and possibly also with a surface on the lower end of the radius. It did not seem that the carpal bones were increased in number, for the right wrist had the same circumferential measurement as the left, which was normal. The lower end of the ulna did not seem to articulate normally with the carpus. The elbow was also abnormal, and it seemed "as if the ulna were dislocated inwards." BALLAXTYNK, .1. W., ;.,//;;. .I/,-/. Jour., 1893, CDLI. p. 623, Jig. [Possibly this condition approached to that found in the last cases.] CHAP. XIII.] DOUBLE-HAND. 495. DOUBLE-HAND II. Eight digits in two groups of four and four. Woman (examined alive) having eight fingers in the left hand arranged as follows (Fig. 93). With the exception of the left arm the body was normal. The limb was very muscular. The shoulder- joint was natural. The external condyloid ridge of the hunx-rus was strongly defined. The muscles and tendons of the fore-arm were so prominent that it was not easy to decide whether there was a second radius or ulna, but Murray eventually came to the FIG. 93. Left hand of No. 495. (After MUEEAY.) conclusion that there was no such extra bone. The fore-arm could be only partially flexed. The eight fingers were arranged in two groups of four in each, one of the groups standing as the four normal fingers do, and the other four being articulated where the thumb should be. There was no thumb distinguishable as such, but it is stated that there was a protuberance on the dorsal side of the hand, between the two groups of fingers, and this is con- sidered by Murray to represent the thumbs, for according to his view the limb was composed of a pair of hands compounded by their radial sides. In the figure of the dorsal aspect which is given by Murray taken from a photograph, this protuberance cannot be clearly made out. The four radial fingers in size and shape appeared to be four fingers of a right hand. In the radial group of fingers, the " middle " and " ring " fingers (6 and 7) were webbed as far as the proximal joints, and the movements of the fingers of this group were somewhat stiff and imperfect. Between the two groups of fingers there was a wide space as between the thumb and index of a normal hand, and the two parts of the hand could be opposed to each other and folded upon each other. The power of inde- pendent action of the fingers was very limited. No single finger could be retained fully extended while the other seven fingers were flexed, but if both " index " fingers (4 and 5) were extended, 336 MKRISTIC VARIATION. [PART i. the other six fingers could be flexed, or the four fingers of either group together with the " index " of the other group may be ended, while the other three are flexed. The " index " fingers could not be flexed while the other fingers were extended, nor can the " little fingers " be extended while the others were flexed. Mi UKAY, J. JAKUINE, Med. Chir. Trans., 18G3, XLVI. p. 29, PI. n. 4! Mi. Female child, five weeks, having a hand of eight digits on the right side (Fig. C.i4). The digits were disposed in two groups of four in each. [No further FIG. 94. Bight hand of No. 496. (After GiRALDfcs.) description.] GIRALD&S, Hull. soc. de Chirurg., Paris, 1866, Ser. 2, vi. p. 505, fig. The same case referred to again, GIRALDJJS, Mai. Chir. des Enfants, 1869, P- 42, .fo. 4.97 Female child having right hand almost exactly like MURRAY'S case, but without syndactylism. The two halves could be folded on each other. The four extra digits articulated with an imperfect metacarpal which was annexed to the normal meta- carpal [of the index]. FUMAGALLI, C., Annul. Univers. di Mcd. Hilano, 1871, vn 1. ccxvi. ]t. 805, jig. Girl's right hand having eight fingers, represented in a wax model. LANGALLI, La scienza e lapmtica, Pavia, 1875 [Not seen : abstract from DWIGHT, I. c.]. 498. DOUBLE-HAND III. Six digits in two groups of three and three. Man having abnormalities of left arm as follows (Fig. 95). The left hand was composed of six digits with three phalanges, which were disposed in two groups of three digits in each. The two middle digits were the longest (d3 and d*), and the length of the digits on either side of them diminished regularly. The appear- ance was us of a hand composed of the middle, ring and little fingers of a pair of hands united together. The two groups of fingers were to some extent opposed to each other and all the dibits could be flexed and extended. The digit d3 though single in its peripheral parts articulated with two metacarpals, its proxi- mal phalanx having two heads. Upon the radial side of the CHAP. XIII.] DOUBLE-HAND. 337 carpus of this hand there was a soft tumour about 2'5 cm. in height, resembling a cyst with a firm wall. rf* dl FIG. 95. Dorsal and palmar aspects of the left hand of No. 498. The digits are numbered from the inside. (After JOLLY.) The structure of the bones of the arm and fore-arm could not be made out with certainty in the living subject, but it appeared that the humerus was formed by two bones partially united together. As regards the skeleton of the fore-arm an ulna could be felt extending from the upper arm to the processus styloideus. The existence of a radius could not be made out with certainty, but a second bone could be felt which was in very close connexion [with the ulna]. JOLLY, Intermit Beitr. z. wiss. Med., 1891. 499. Male child, three years old, twin with a normal female child, having all extremities abnormal. Right hand. Six metacarpals arranged in two groups of three in each group. Each bore a three-phalanged digit, none resembling a thumb. The first and sixth were alike, resembling a minimus, while the two median fingers resembled middle fingers. On the radial side the three digits were completely united together. The next was free, and the two external to this were also united. Left hand. Like the right, but all the fingers united together in two groups of three in each group. Feet. Each foot had nine metatarsals and nine digits, the central being like a hallux and having two phalanges perhaps, but thicker than a hallux. The externals were like minimi. The four toes on each side of the " hallux " were united two and two. The tarsus was of about double size. The right leg was shorter than the left. GHERIXI, A., Gaz. med. ital.-lombard., 1874, No. 51, p. 401,, B. 338 MERISTIC VABIA.TION. [PART i. Complex "i:f X?/uunetry. *500. ^I;|" ('-vimim-d alive) having abnormalities in the digits of hand- ami feet (Kiir. '.)(>). The ra^e is very briefly and inadequately described, Imt the c-Miirlit imi was a]i]>ai-i-iitly as follows. /,'/'//// I, n ml. IJcgiiining from the ulnar side, there were three i-inal dibits (i;, ."), 1). lit-yiiiid the third of these, which must be Left. I'i... 96. Hands and feet of No. 500. (After KUSNT.) CHAP, xiii.] COMPLEX POLYDACTYLISM I MAN. 339 regarded as the medius, there were two complete digits (3, 2) each having three phalanges : and on the radial side of the innermost of these digits there was a stump-like rudiment (1), apparently representing another digit. [This case therefore differed from those of Win die and Rijkebiisch in the fact that both the digits internal to the media* (>/>) were disposed as though they belonged to a left hand, and KUHXT, in fact, states that each hand was, as it were, composed of parts of a pair of hands, thus agreeing with JOLLY'S case, No. 499.] Left hand. In this hand there were only five digits, each of which had three phalanges. None of them was fully opposable, but that on the radial side (1) could to some extent be moved as a thumb. Of these five digits the middle one was the longest, and on each side of it there were two similar digits, those next to the middle finger being the longest and those remote from it being a good deal shorter and having the form of little fingers, which KUIINT considers them to have been. [This hand is perhaps in Condition II.] Ri; 22—2 340 M ERISTIC VARIATION*. [PART i. Toulouse, 1838, p. 28. [Not seen by me. Abstract taken from DWIGHT, I.e., vide No. I Hi'. Cp. p. 326, -Vote.] 503. (Jirl, iit-\v-born, having the left foot "double," bearing eleven toes. Tin- left labium niMJus was twice as large as the right, and the left !>•_' .mil thigh were much thinner than the corresponding parts on the right side [measurements given]. The extra parts were all on the plantw >ide of a toot which had toes of nearly normal shapes and sizes. This foot was Lent into a portion of extreme talipes equino-varus, and the great toe was bent so that it pointed inwards at right angles to the metatarsal. I'jMin tlir jilaiitar side of this foot there was a series of six well- formed, small toes, arranged in a series parallel to that of the 'normal' ti\e, and having their plantar surfaces in opposition to those of tin- latter. Of the series of six toes that facing the normal little toe exactly resembled it. The second was the longest of the six, but did not resemble a great toe. The third and fourth were equal in length, the lifth and sixtli being shorter, as are the external toes of a normal foot. None of the toes were webbed. BULL, G. J., Boston Med. and Sin-;/. Jour. iNT'i, xcni. p. 293, Jig. [This ligure copied by AIILFELD, Afissb. d. Men when, PI. XX. fig. 2.] [The case described by GBANDIN, Amer. Jour, of Obstetrics, IMS?, xx. p. 425, fiy., is probably a case of a pair of limbs composing a Secondary Symmetry attached to and deforming the limb belonging to the Primary Symmetry and convsi'unding with that uf the other side. The nature of this case will be better understood when evidence as to the manner of constitution of Secondary Symmetries has been given.] *504. Macacus sp. A monkey, full-grown, having nine toes on the left foot; right foot normal, upper extremities not preserved. The specimen is described as No. 307 in the Catalogue of the Temto- fn>/ical Series (1872) in the Mus. Coll. Surg. (Huuterian specimen). Though I am disposed to agree in the main with the view of the nature of the specimen given in the Catalogue it is not in my judgment possible to decide confidently in favour of this view to the exclusion of all others. For this reason the specimen is here described afresh. This is the iinnv necessary as the account of the Catalogue is incorrect in some particulars. Extra parts are present in the limb and in the pelvic girdle. (Figs. 97 and 98.) The names to be given to the parts depend on the hypothesis of their nature which maybe preferred. In general terms it may be stated that the ventral or pubic border of the girdle and the internal ( t ibial) border of the limb are nearly normal. The external (fibular) border of the limb is also normal, but between these there are in addition to the normal parts other structure-, whose true nature is somewhat uncertain. The apj tcaraiices may be realized best in the following way. Sup- pose that two similar left feet lie in succession to each other, the " posterior " having its hallux next to the minimus of the "anterior," so thai the digits read I, II, III, IV, V, I, II, III, IV, V. Now if the two feet could interpenetrate so far that the minimus of the " anterior " foot took the place of the hallux of the " posterior," this CHAP. XIIL] POLYDACTYLE FOOT : MaCOCUS. 341 second hallux not being re presented, the condition of this specimen would be nearly produced. In the same way the left pelvic girdle is just what it would be if two left innominate bones were placed in succession, the ischium of the " anterior " superseding the pubis of the posterior. As in the foot, so in the innominate, of the portions which coincide the parts belonging to the anterior are alone represented. Something very like this was seen in the case, for instance, of the imperfect division of vertebrae in Python, No. 7. The chief difficulty attending this view of the nature of the case is the fact that as regards the tarsus the " anterior " foot *'- -9* it- clc na.ve FIG. 97. Macacus, No. 504, left leg. C. S. M. 307. /ji, head by which femur articulates. h", supernumerary head (?). gt, great tro- chanter. gt2, " posterior " great trochanter. It, lesser trochanter. t, tibia, fib1, " anterior fibula." fib-, "posterior" fibula (?). clc, calcaneum. As, astragalus, nav, navicular. ?iar2, supposed second navicular. c1 — c6, six cuneiform bones, c3, the ecto-cuneiform of " anterior " foot, cb, cuboid. fC3 342 MERISTIC V All I ATI OX. [PART i. lacks the external (filmlan part- of a tarsus, viz. the cuboid and cal'-aiiemn. There is a cuboid, cb, and a calcaneum, c, for the " po>terinr " funt. lint none fin- the "anterior." The bone c3 might of roiir-e In- calli-d a cuboid: but if this is a cuboid there is n<> ecto-cuneiform fnr the anterior foot. The account given in the Cutulnrfiie avoids these difficulties by the statement that each foot ha- three cuneiforms and a cuboid, declaring that there isasecond cuboid between the t\v.. sets of cuneiforms. This is nevertheless incorrect, for tin- whole distal series in the tarsus contains only seven bono and not eight. The mistake has no doubt arisen by (•minting r:i i \\jce over. The Catalogue is also in error in neglecting the fact that tin- tarsal articulation of the digit 2 is quite abnormal. Similarly in tin- cms, there is no good reason to affirm that the lionr jilt- is a fibula lather than a tibia. The Catalogue regards it as a sec,, nd tibia, but I incline to speak of it as the fibula of the 'anterior' foot following the view already indicated. As I have said, the leg is almost normal in the structure of its external border and almost normal in its posterior border, but between these the nature of the parts is problematical. All that can be done is to describe the parts as they are seen. Beginning at the external (fibulur) border of the foot there is a nearly normal series of three digits, 9, 8, 7, fashioned as V, IV and III f* I'i'.. '.'•>. I. Innominate bone of Macacus, No. 504. i1, p, is1, tl, of1, ilium, pubis, ischium, ischial tuberosity and obturator i'oranien of the supposed anterior of tli^ -mil.'; tin- ji.-irts marked 2 being the corresponding structures of the supposed posterior pm t. II. Details of tarsus of the same. Digits numbered 1—9 from the inside, c, caloaneum. »'. navicular of "anterior" foot. «-, navicular of "posterior" foot, cb, cuboid, c1— r6, six bones placed as cuneiforms. (HAP. xiii.] POLYDACTYLE FOOT : MoCOCUS. 343 respectively, the Y and the IV articulating with the cuboid (<:/,) ,-md the III with an external cuneiform, c8, as usual. There is a middle cuneiform, c5, bearing a digit, 6, which is almost exactly formed as a II. Internal to this point the parts can only be named with hesitation. The tarsal bone, c4, of the distal series internal to c5 is shaped like another c5, but the digit which it bears rather resembles a minimus. This is succeeded by a tarsal bone, c3, shaped like the external cunei- form, c6, but it bears a digit of the length suited to an annularis. Internal to this are two tarsal bones of the distal row, c2 and c1, which bear three digits, 1, 2, and 3. Of these the most internal is undoubtedly an internal cuneiform ; it bears firstly a slender but otherwise normal hallux with two phalanges, and secondly, it contributes (abnormally for an internal cuneiform) to the articulation of a digit, 2, which is thinner than all the others and resembles rather a minimus than an index. The digit, 2, also articulates with c2 which chiefly supports the third digit. Between the metatarsals of the digits 5 and 6 there is a considerable space, owing to the fact that the head of the metatarsal of 6 is pro- longed upwards like that of a normal metatarsal V. In addition to those described are four other tarsal bones : firstly, a calcaneum c, which is rather smaller than that of the normal right leg. It articulates with the cuboid, cb, with the astragalus, A, and with the bone, n2. The astragalus is very large in its transverse dimension but its length is less than that of the normal astragalus. Peripherally it bears two bones, firstly, a navicular, n1, and secondly, a bone of uncertain homology, marked n2 in Fig. 96. The navicular articulates with c1, c2 and c3, together with the bone n2. The latter, n2, articulates with c3, c4, c5, c8, and also with the cuboid, cb, the astragalus and calcaneum and navicular. From its form and relations it is probably a second navicular. The bones of the crus are three. Firstly, a tibia, tib., which is rather thinner than the normal bone and is somewhat bowed inwards. Passing as a chord to the curve of the tibia there is a thin bone, Jib1, which is tendinous in its upper part. External to this, articulating with the external condyle of the femur there is a third bone, Jib2, which has nearly the form and proportions of a normal fibula. All three bones articulate with the large astragalus. There is a small patella. The femur is about half as thick again as that of the right leg. Its head is nearly normal in form, articulating with the rather shallow acetabulum. The lesser trochanter and the internal border of the femur are nearly normal. Anteriorly and externally there are the following parts. Upon the external border there is a projecting callosity, clearly being a great trochanter in its nature. Internal to this there is a knob- shaped, rounded protuberance, which in texture so closely resembles the head of a femur that it is almost certainly of this nature. It is rounded and smooth as though for articulation with an acetabulum, though it stands freely. Between this tuberosity and the real head of the femur there is a third tuberosity, apparently representing the end of the great trochanter of that limb which has been spoken of as "anterior." The peripheral end of the femur is nearly normal on its inner side, while on the outside it is considerably enlarged. The ex 344 MERISTIC VARIATION. [PART i. ternal condyle is thus much larger than that of the normal femur, but there is in it only a very -liirht su.L'icestion of a division into two parts. The innominate bone ha- an ilium which anteriorly is normal, but which po>teriorl\- enlarge- and t<> >ome extent divides into two parts, i' and i2. < »t' tlie.se the ventral part. 2'', unites with a nearly normal pubis, />, and bounds the shallow acetabulum with which the femur articu- Lates. The rest of this aceialndum is made up by the ischium, in*, of the ''anterior" limb, which together with the pubis bounds an obturator foramen, of1. Dorsal to these parts the ilium has a partly separated portion, r, which forms part of the wall of a cavity apparently repre- senting the acetabulum of the "posterior" limb. Dorsal to this a complete ischium arises which bears a normal ischial tuberosity and curves round a second smaller obturator foramen, of". In so far as the foregoing description involves conceptions of homology it is merely suggestive, but the structure of the innomi- n. -i t e bone leaves little doubt that the nature of the parts is much as h> iv described. Nevertheless the appearance of the digits 5 and (i ami of the tarsal bones c3 to c6 somewhat suggests that there is a symmetry about an axis passing between the digits 5 and 6 : but it' .'• were a minimus and if 6 were fashioned as an index, which it is, the appearance of a relation of images would to some extent exist in any case. This appearance is however confined to the dorsal aspect of the foot and is not present on the plantar aspect. This case, if the view of it proposed be true, differs from other examples of double-hand (e.g. Nos. 491 to 499) in that the Repe- tition is Successive and is not a Repetition of images ; for the digits stand I, II, III, IV, V, II, III, IV, V, and not V, IV, 111,11, [I], II, III, IV, V as in those other cases. In this respect it is so far as I know unique. Those who have treated the subject of double-hand generally make reference to the following records. ECEFF, 1>, conceptu, Frankfurt, 1587, PI. 41; ALDRO- VAXDI. Mmixtr. Hi.it., 1CJ-J. p. 495; KEBCKRING, lib*, tinat., Amst. 1670, Ob*, xx. /'/., but tin1 descriptions are scarcely such as to be useful for our purpose. A case quoted by DWICIIT, Mmt. I lout. Soc.qf X. II.. iv. No. x. p 474, from i>u CAUROI, Jour. det Scavaiu, lf'>',tr>, pub. 1697, p. 81 [originally quoted by MOR.VND and misquoted by many subsequent authors], is probably not an example of double-hand (see No. 522). Cases of Polydactylism in Man and Apes not associated with definite change of Symmetry. the evidence as to polydactylism in general the foregoing cases have been taken out and placed in association as exhibiting the development of a new system of Symmetry in the limb. It will have been noticed that in all of them the external (ulnar or tibular) (.arts of the limb remain unchanged, and the parts not represented in the normal are on the internal (radial or tibial) sides. In the remaining cases of polydactylism, which constitute tli-1 ^re.-it majority, there is no manifest change in the general symmetry "f the limb. CHAP, xin.] DIGITS : MAN. 345 These general phenomena of polydactylism have been observed from the earliest times and the literature relating to the subject is of great extent. Most cases known up to 1869 [not including STRUTHERS' cases] were collected by FORT, Difformites des Doigts, Paris, 1869, and independently by GRUBER, Bull. Ac. Sci. Pet., xv. 1871, p. 352 and p. 460, and good collections of references have subsequently been published, especially by FACKENHEIM, Jen. Zeits., xxii. p. 343. Of the whole number of cases the majority fall into a few types, and a great part of the evidence may thus be easily summarized and illustrated by specimen-cases. The forms of polydactylism thus constantly recurring may be dealt with conveniently under the following heads. (1) Addition of a single digit, complete or incomplete. A. external to minimus, in series with the other digits. B. in other positions. (2) Duplication of single digits, especially of the pollex and hal lux. (3) Combinations of the foregoing. Besides these are a certain number of cases not included in the above descriptions, and of them an account will be given under the heading (4) Irregular examples. As bearing upon the frequency of the several forms of poly- dactylism it may be stated that in this irregular group are included all cases which I have met with that exhibit any feature of importance in departure from the cases otherwise cited. For the purpose of this list I have examined every record of polydactyl- ism to which access could be obtained. (1) A. SINGLE EXTRA DIGIT EXTERNAL TO MINIMUS IN HAND OR FOOT. (a] Incomplete form. This is one of the commonest forms of extra digit. In the great majority of such cases the extra digit is not complete from the carpus or tarsus but arises from the nietacarpal or metatarsal, less often from one of the phalanges, of the minimus. The attachment may be either by a direct articulation upon the side of one of these bones, or they may give off a branch bearing the extra digit. In a not uncommon form of the variation the extra digit has no bony attachment to the hand, but is a rudimentary structure hanging from some part of the minimus by a peduncle. Of these several forms the following are illustrative cases. Extra digit hanging from minimus by a peduncle. Munus. ANNANDALE, Diseases of Finders and Toes, 1865, p. 30, PI. 11. fig. 20; TAKNIER, Bull. Soc. de Chir., Paris,"vi., 1866, p. 487; and numerous other examples. Pus. BCSCH, quoted by GRUBER, I.e., p. 470: this form in the pes is rare. 34G M KIM STIC VARIATION. [PART I. 500. 507. *.-. 08 / v.i ili'iit ni-i.1, p. 809; GAILLARD, G«z. nied., 1862. This form seems to be compaiatm-ly scarci , •/;// uri-in;! i'riiiK cases the extra digit articulates immediately with the side or hcail of nictaraipal or metatarsal, but sometimes in the manus and often in the pes tin- .li^it aitinilatt - at the end of a branch given off by the metacarpus (MOUANI>, iliiil., lii.'. 3, and numerous other records), or by the metatarsus (MoiiAXD, I. c. ; STI:;- IB, l-'.ilin. New I'hil. Jour., 1863 (2), p. 89; MECKEL, J. F., Hmi.lh. d. path. Aii'it., ii. Ahth. 1, p. 36, and many more. Hylobates leuciscus (Fig. 99) having an extra digit in the left manus arti- culating externally with the metacarpus V and in the right manus articulating with a branch from it. Mus. Coll. Surg., Teratol. Ser., No. 307, A. I'l ,. '.i'.t. Iliiluliitt,'* l<'in-i.-irit.<. No. ."Os, minimus of right and left manus bearing ;i -upernumerary digit articulating with the metacarpals. (From specimen in Coll. Surg. Mus.) (b) Complete di'jit //'//•///;/ metacarpus or metatarsus external to -in i n i in us. Kxtra digits u\t' i nal to the minimus are occasionally complete, in^:i iii''t:ii"ir|iul i>r niftalai'sal and three phalanges, standing truly in aeries with the other (limits, but to judge from the records this riiinplrtr furiu i^ d«'ridcdly i-aiv. In the tii-st of the fbllowing f\;inipli's -ivrii it should be noted that the digit standing fifth, CHAP. XIII.] DIGITS I MAX. 347 that is to say, as minimus, was itself rather longer than it should be in the normal, thus illustrating the principle with regard to the Variation of a small terminal member of a Meristic Series on becoming penultimate which was predicated especially in regard to Teeth (see p. 272). In MORAND'S case the interesting fact of the partial assumption by the sixth digit of anatomical charact'T- proper to the minimus is commended to the attention of iln reader. *509. Girl : one extra digit on the external side of each hand. The normal little fingers are rather longer than usual and the extra fingers have nearly the same length. Each has three phalanges. Neither of the extra fingers can be moved separately from the finger adjacent to it. In the left hand the extra finger is borne on a supernumerary met a- carpal which lies parallel with the normal metacarpal V. Each extra digit can be opposed to the pollex. In the right hand the extra finger is borne on the enlarged head of the fifth metacarpal. BERANGER, Bull. Soc. d'Anthrop., Paris, 1887, Ser. 3, x. p. 600. *510 Man (parents normal, one brother had six digits on each extremity, six other members of family normal) having an extra digit external to minimus on both hands (Fig. 100) and both feet, in series with the normal digits. Left hand : unciforni abnormally large, having two articular facets, one for the metacarpal of the fifth and the other for that of the sixth digit. The sixth metacarpal bears a digit of three phalanges of which the second and third were very short. [It does not appear that V was of increased length.] Right hand : metacarpals normal in number, but the fifth is very thick, having in its peripheral third 011 the external f m E L FIG. 100. Palmar views of the bones of the hands of No. 510. (After OTTO and 348 MEUISTIC VARIATION. [PART I surface an articulation for a short digit of three phalanges, the second and third bein^ \<-ry -mall. Feet : well formed ; cuboid of size greater rh.ui tin- normal. hearin'_r the proximal end of two united fifth and sixth metatarsals. Karl, >.f these is separate peripherally and bears a digit [of •"• phalanges to judge from the figure (tig. Cj] in series with the normal toe-, hut shorter than the minimus. .!///>.•/->. In tin- I ft hand the sixth digit was fully supplied with niu-eles. There were two extra interossei and the extensor communis sent tendons to the sixth digit. The abductor, the flexor brevis and the flexor ossis metacarpi which in the normal are proper to the minimus were all inserted into the sixth digit instead. In the r'fjlit li'ni'1 the extensor communis gave a tendon to the sixth, whieh also p. messed a proper abductor, but the fifth had no special extensor. Of the flexors the sublimis gave a tendon to each of the digit> index, medius and annularis, none to the fifth, but a small slip to the .sixth. The flexor profundus gave four tendons as usual, but from that going to the fifth a small tendon passes off laterally and piercing the sublimis is inserted as usual. In both feet the muscles were similar. The extensor longus gave a tendon to the sixth digit, and the extensor brevis does not. The flexor longus has four tendons as usual, none going to the sixth digit ; the tlexor brevis has four normal tendons and an extra one for the sixth. The two tendons proper to the fifth (minimus) go to the sixth. The interossei are normal and there are only two lumbricales, one for the second digit and one for the fourth. MORAXD', Mem. de I' A cad. Jioy. des Sci., Paris, 1770, p. 142, Figs. 1, 2, 4, 5 and 6. [The condition of the muscles in regard to the fifth and sixth digits in this case is worthy of special attention. If the morphologist will here propose to himself the question which is the extra digit, he will find it unanswerable. In the riirht hand, judging from the bones, it may seem evident that the fifth with its complete metacarpal is the minimus and that the sixth is i new structure ; but the condition of the feet and the right hand taken with that of the left, make a series or progression from which the similarity of the variation in each of the three states is evident; hence, it' it is thought that the most external digit in the right hand is the extra part, it must also be held that the external or sixth digit in the left hand is the extra digit. But this digit in respect of its muscles has some of the points of structure peculiar to a minimus, while the fifth digit or supposed miniums on the contrary is without these characters. llent-e neither digit is t/n' minimus. Just as in the Condition III (see p. ."'!'<') of the hand, we saw that on the presence of a digit internal to the. pollex, the pollex itself may be promoted to be a finger-like digit with three phalanges, so may the fifth digit be partially fashioned as a more 1 The similar description- ;m. mifirli. I Ynr, /<•;,.--. /, AMMON. !>/,• ,;/<,/,•/>. AY. d. Jlenxi-h., all refer, I believe, to this one original case of Moraiid's. though the fact is not -tat-'d and though several authors (liurm.i;. ^-c.) quote them as separate cases. Seerig states that his iL'mvs arc ('nun preparations in the Breslau Museum. These figures a'.'rre exactly with those of Otto, which again agree closely with those of Moraiid but give more detail as to the carpi, taken no doubt from the actual -p. riinens which had been acquired by the Breslau collection. I have therefore Otto's figures, though taking the important descriptions from Moraud. CHAP, xili.] DOUBLE-THUMBS : MAX. 349 central digit on the presence of a digit external to it. If therefore it be still called the "minimus" this term can only be applied to it by virtue of its ordinal position. ] For other cases of complete digits iu this position see AUVAED, Arch, de Tocologie, xv. 1888, p. 633; MARSH, Lancet, 1889 (2j, p. 739. (1) B. SINGLE EXTRA DIGIT IN OTHER POSITIONS. Apart from cases of extra digit external to the minimus, cases of duplication of the pollex or hallux (to be considered below), and cases of extra digits internal to the pollex or hallux associated with change of symmetry of the digital series, the remaining cases of single extra digit are very few. In other words, it is with digits- as with Meristic series in general, when a new member is added, the addition taking place in such a way that homologies may be recognized, it is most often at one of the ends of the series that the addition is made. Cases of extra digits in other positions are in Man and Apes very rare, and even in some of the few recorded cases of a new digit arising on the inner side of the minimus (No. 511) it should be re- membered that this inner digit is judged to be the extra one rather than the outer mainly by reason of its smaller size. I can only give particulars of few such cases, and of the remainder no details are available. *511. Simla satyrus (Orang-utan), having a rudimentary extra digit arising from the internal side of the minimus of each hand : feet normal. In the left rnanus the minimus has all joints nioveable as usual; the first phalanx is normal, but the second is bent outwards nearly at right angles, thus making room for an extra digit arising from the first phalanx and directed inwards. This digit is fixed and has no articulation and no nail, but it is in its outer part bent back again towards the minimus with which it is webbed. The structure in the right manus is almost the same but the extra digit is larger and in its outer part free from the minimus, bearing a nail. BOLAU, Verli. natiirw. Ver. Hamburg, 1879, N. F. in. p. 119. 512. Woman: left pes bearing an extra digit articulating by an imperfect metatarsal with outside of metatarsal of IV. The extra digit stands obliquely to the others, sloping outwards and being attached by ligaments to the normal V. [The Cata- logue states that the extra digit resembles a right digit, but I see no sufficient evidence of this.] C. S. M., Ter. Cat. 312. [A case perhaps similar to foregoing is briefly quoted by GRUBEE, 1. c., p. 471. note 83, as being in the 'Vienna Museum of Anatomy.] 512rt. Child: left metacarpal IV bore a supernumerary digit on external side. This digit was shorter than the digit IV and was completely webbed to it. BROCA, fr-1 97 (!uotecl by FoET> '•?•> P- 66- OiZu. Foetus (otherwise abnormal) : left hand bore extra digit attached by peduncle to first phalanx of digit IV. The minimus was separated from IV by a metacarpal space, standing almost at right angles to it. HENXIG, Sitzb. naturf. Ges. Leipzig, 1888. Oct. 9. [AiiMON (Die angeb. Krankh. d. Mensch. p. 101, PL xxn. fig. 7) describes a case of rudimentary finger appended to the "ring-finger" and is so quoted by GRDBER; but the figure apparently represents the appendage as attached to the minimus.] (2) Duplication1 of single Diyits, especially of the Pollex and Hallux. *513. Duplication of the pollex or of the hallux is one of the commonest forms of polydactylisin and numerous cases have been described by all who have dealt with the subject. It consists in the development of two digits, complete or incomplete, in the position of the usually single series of bones composing the pollex (or hallux). In the section dealing with polydactylism associated with change of Symmetry (p. 326) we saw how upon the appearance of an extra digit in this position the thumb itself may have three phalanges. In these cases the extra digit may properly be considered as arising in Successive Series with the 1 A few cases are thought by some to shew triplication of digits, but it seems doubtful whether there is a case of division of one digit into three really equivalent digits, perhaps excepting the thumb of Xo. 521. 350 VIERISTIC VARIATION. [PART i. . P.ut in a large majority of • -ases of the presence of an extra n tin- radial side, the thumb has two phalanges as usual. Upon i review of the evidence it is I think clear that we shall In- right in considering th.-it iii mosl <>f these cases the extra digit is not really in Succession to the thumb, but that tin- two radial digits together rep re - -ent tin- thiinili, tin- increase in number being achieved by duplication and not by siicces-ive addition. .Must authors (GRUBEBj &c.) thus speak of these formations as ••double-thumb- and recognize them as examples of duplicity, but it -hould be remembered that tin- \ie\v of their nature is not consistent \\ith any statemenl that either of the t\vo digits is the extra one. If these thumb-' are instances »>f duplicity then both together represent t IK- normally single t liumb. In clear cases of double-thumb the two thumbs are equ'al or nearly eimal in si/.e and development, as commonly happens in cases of true duplicity. I>nuble-thumbs are known in every degree of completeness. The division between the two may occur at any point in their length. Thus the duplicity may be confined to the nail and first phalanx « ITTO, .!/«//>//•. sexc. 1><. "•'•/•(/>., Taf. xxv. tig. 1; BIKXKAUM, Monatsschr. i. f.'Jin /•/>•/.-., I860, xvi. p. Hi"); or it may include both first and second phalanges ((Jiiri'.KR, Arch. f. path. Anat. Phys., xxxn. 1865, p. 223); or both phalanges and the greater part of the metacarpal (GAILLARD, MI' in. Soc. de liol., 1^(31, p. 325); or even the whole digit and meta- carpus, the two thumbs separately articulating with the trapezium f .losKi'ii, quoted by ">!), p. 178; original not seen by me; quoted by GKUBER, p. 47('i>, being a case apparently of double medius on one metacarpal : and of hrssKAC, Cut. Slus. Vrolik, No. 518, two terminal phalan-es on riirlit medius (together with double thumb; six fingers on left hand and peripheral duplicity of hallux in each foot). Accompanied by numerical Variation in other parts of the digital series such cases of duplicity are known in a few other cases. (3) Combinations of thu foregoing. Limbs not rarely present the forms of polydactylism already named in combination. Such combination may be found in the same limb, or one or more limbs may present one form, while another form may be found in the other limb or limbs. Of these combinations the following three cases will be sufficient illustration. Case of double hallux on each foot, and rudimentary digit attached /t digit attached to minimus. 517. Female infant having thumb of each hand double, the two sets of bones lyiug in the same skin and connective tissue. In the right hand the nails and phalanges of were quite distinct, but it was not certain whether the rnetacarpals \\en separate or not. In the left hand the nails \\vro not completely separate and the phalanges of the two thumbs were less distinctly separate. To the first phalanx of the little finger of each hand was appended a rudimentary bud-like finger, hanging by a peduncle. The lent resembled the hands. From the inner border of the metatarsal of each great toe there proceeded a well-formed thumb-like toe with two phalanges. This toe was set at right angles to the great toe and could be tlexed and to some extent opposed. On the external border of the right foot there was a small extra little toe hanging by a peduncle from the metacarpal V. In the left foot the supernumerary little toe was bound up with the normal little toe for its whole length. HAGEXBACH, E., Jiiltrh.f. Kinderlieilk., xiv. 187'J, p. 234, //>-. [Cp. No. 514.] 1 Compare with the- largely similar series of phenomena seen in the foot of the Dorking fowl (r. ///mi). But in it if the two hallucal digits are not a true pair it is most commonly the /«//,•/• that is the largest, conversely, to the general rule in the extra digits arising from the pollex in Man. CHAP. XIIL] IRREGULAR POLYDACTYLISM : MAX. 353 Case of double hallux in combination with extra digits on external side. 518. Man in Middlesex Hospital, 1834, having on the right foot two toes articulating with the first inetatarsal, and ou the left foot two toes articulating with the first metatarsal, and also two toes articulating with the fifth metatarsal. From the ulnar side of one of his hands two fingers had been removed. In each hand the middle and ring fingers were adherent throughout their length, as also were all the toes, except the minimi. Five brothers and three out of four sisters of this man had six toes on each foot and six fingers on each hand. The other sister had seven toes on one foot and six on the other, and had two extra fingers on each hand. London Jfed. Gaz., 1834, April, p. &5,Jigs. (4) Irregular examples. Thus far we have considered cases of polydactylism that can be in some degree brought into order and included in general descriptions. There remain a small number of irregular cases each presenting special features which make general treatment inapplicable. These cases are instances of extremities, mostly feet, having seven, eight or nine digits. The descriptions of these cases are for the most part fragmentary, and as the bones have been examined in only one of them (MoEAND) so far as I am aware, the relations of the digits to each other and to the limb are obscure. Speaking generally in these irregular examples there is an appearance of division, possibly of duplication, of several digits. It should be noticed also that in some of them (e.g. BLASIUS, No. 520) the digits did not lie evenly in one plane but were in a manner bunched up so as to overlie each other. In such a case it would be interesting to know whether the digits originally grew in one plane and were afterwards shifted during growth, or whether the original Repetition was thus irregular. As all these cases differ from each other an adequate account of them could only be given at great length, and by reproducing the original descriptions in full, together with such figures as are attainable. For these reasons it would not be profitable to introduce them here, though in a study of the nature of Meristic Repetition it is important to remember that these irregular cases exist. As illustrative of several cases I have appended an account of two complex cases in the foot and of one in the hand, giving references to such others as I am acquainted with. 519*. Girl, set. 6, having abnormal toes on the left foot as follows (Fig. 103). The total number of toes on the left foot was nine. From the position and form it appeared that the digits (6—9) representing II, III, IV and V were normal, but upon the radial side of these instead of a single hallux there were five toes. Of these 1 and 2 were imperfectly separated, articulating with the first metatarsal by their first phalanges, which were united to form a common proximal head. Each had a distinct second phalanx and in general form resembled a great toe having a separate nail. The second rnetacarpal bore firstly a pair of toes, 3 and 4, which were still less separate from each other than 1 and 2, the bifidity being confined to the soft parts. These two toes had one proximal and one distal phalanx in common. The second metatarsal also bore an external digit, 5, which in form rather resembled a normal third digit, being considerably shorter than 6 [and presumably containing three phalanges]. The toes 1, 2, 3 and 4 were found after amputation to be devoid of muscles and presented only the terminations of the flexor and extensor tendons B. 23 354 MERISTIC VARIATION. [PART i. having their normal insertions. The toes 1 and 2 were supplied by the same flexor ten. lun which bifurcates and passes to be inserted into the ultimate phalanx ot each / 8 !/ FIG. 1<>3. Foot of No. 519. (After ATHOL JOHNSON.) by a separate slip. The vinculum by which it is attached is common to the two bones. JOHNSON, ATHOL A., Trans. Path. Soc., ix. 1858, p. 4'27, jli. .")20. Malt- infant having supernumerary toes on the left foot. The tarsus and meta- tarsus were abnormally wide. The hallux appeared externally to be divided into two. This duplicity was most marked in the second phalanx and appeared in a slight infolding of the skin. The nail also shewed traces of duplicity. Next to the hallux were two toes which were bent upwards and inwards. Of these the one oveilay thu other. The uppermost was found after excision to have two sets of phalangeal bones enclosed in the same skin; these two articulated with a single metatarsal bone. The lower toe was thought by BLASIDS to represent the digit II. Next to this there was a rudimentary digit with a slightly developed nail. After excision it was found that this toe contained a cartilaginous basis which was partly segmented into two phalanges and articulated with a metatarsal. External to this rudimentary toe were three normal toes, representing as BLASICS supposes, the digits III, IV and V. Kxternal to the putative V was another digit of the same size and -liu]>r. DI.ASIUS, v. Siebolil'.t Jour. f. Gebiirtxh., xin. 1834, p. 131, figs. 1 and 2 ; figures copied in AHLFELD, Missb. d. Mensch., Taf. xx. fig. 11. [This foot appears to contain parts of ten digits.] r»21. Child having polydactyle hands as follows. In each hand the fingers were webbed to the tips. < arh minimus having an extra nail. In the right hand the pollex was triplicate, having three sets of phalanges and three nails, the whole being in a common integument. In the left hand the pollex was duplicate, having two -ets of phalanges webbed together and two nails. Each member thus formed a prehensile paw. In right foot little toe webbed to next toe. Some (not all) of brotheis and sisters had similar hands: father and grandfather had similar hands: mother and grandmother normal. HARKKK, J., Lmu-i't, }*<'>'> \'2), p. HS'.t, ji;/. ;,•)•') The following are other examples of irregular polydactylism : MORAND, Mem. 1, . Set. Paris, 177(1. p. i:v.i, figs, s and 9. (The same redescribed from Morand's figure by DELPLANQi i , Etudes T(ratoL, n. l>nuai. lsr,!l. p. t'>7, PI. v. ; and again by LAVOCAT. M''m. Ac. Ssi. Ts]. l'|. i., who takes a different view.) t.i;ri;i:i:. Mi'm. Ac. Sci. l'':t., Ser. vn. Tom. 11. No. '> (tig. copied in Hull. Ac. Sci. 1'i't., xv. 1*71, tig. I), and by AHLFELI>, Mi*«l>. .•<, •!/.. I'l. xx. fig. 20). ( .1:1 BEB, Hull. Ac. Sci. I'i't., xv. 1871, p. 367, figs. 4 and 5. (ii CO, /.''.. I'l. xxvi. tigs. 8—11. FRORii:r, AY//r Notiet n. .(v.. \\Yimar, No. 67, ls:is, iv. p. 8, figs. 4 — 8 (very brief account of important case, copied by Ani,ri-:u> and others). I 'r CAUROI, Jinn-. . si (quoted first by Morand, afterwards wrongly quoted by many writers. l>wn,in, Man. Hunt. X. II. S., iv. CHAP, xni.] REDUCTION OF DIGITS : MAN. 355 No. x. p. 474, supposes that this is a case of double-hand, palm to palm (as No. 503), but the original probably means that two adjacent thumbs arid two adjacent anuu- lares were united, the digits being all in one plane). POPHAM, Dull. Quart. J. of Med. Sci., XLIV. 1867, p. 481. DUSSEAXT, Cat. Mus. Vrolik, 1865, p. 457 (very brief, see p. 352). GRANDELEMENT, Gaz. des hop., 1801, p. 553. LISFRANC (see Schm. Jahrb., xn. 1836, p. 263). RORBERG, Jour. f. Kinderkr., xxxv. 1860, p. 426. MARJOLIX, Bull. Soc. de Chir., 1866, Ser. 2, vi. p. 505, fig. (probably case of double- hand). ANNANDALE, Dis. of Fingers and Toes, 1865, p. 39 (eight metatarsals on a foot possibly associated with change of Symmetry). Ibid., p. 35, figs. 41 and 49 (pollex with two sets of phalanges but three nails, together with extra digit external to V). Cp. No. 521. REYNOLD, Virch. Arch., 1878, LXXII. p. 502, PI. vn. MASOX, F., Trans. Path. Soc., 1879, xxx. p. 583 (foot having eight metatarsals and nine digits). MELDE, R., Anat. Unters. eines Kindes mit beiders. Defekt d. Tibia u. Poly- ductylie an Hiniden it. Fiissen, Inaug. Diss., Marburg, 1892 (irnportaut). REDUCTION IN NUMBER OF DIGITS. Though in reduction of digits the course of Variation is generally irregular and the result often largely amorphous there are still features in the evidence which may be of use to us, and a few selected cases are of some interest. These features will be spoken of under the three following heads, though for a general view of the subject reference must be made to teratological works. (1) Reduction in number of phalanges. (2) Syndactylism. (3) Ectrodactylism. (1) REDUCTION IN NUMBER OF PHALANGES. As in certain cases of polydactylism it appeared that increase in the number of phalanges in the thumb could be regarded as a step in the direction of increase in the number of digits, so a reduction may be thought to be a step towards diminution in the number of digits. But though many cases of reduction in number of phalanges are recorded, there is in them nothing which suggests that they may be fitted into a series of gradual reduction comparable with the series of gradual increase already described. It is indeed chiefly as illustrating the possible completeness and perfection of Variation that these phenomena have a direct bearing on. the subject of Meristic Variation. The following case is chosen as being especially regular and symmetrical. *523. ^au having only one phalanx in each hallux, and two in each of the other fingers and toes. The hands were almost exactly alike. The thumb had a short rnetacarpal f in. long, and one phalanx (1^ in.), the joint between them being loose as if composed of soft tissue. By the length of the rnetacarpal (Sin.) the index is longer than the other digits. The next two metacarpals have only half that length. The metacarpal of V is H in. long, but from its obliquity does not project so far as that of IV. The proximal phalanx of the index measures If, rnedius If, annularis 1, minimus 1£. The distal phalanx in index and middle |, ring and little f in. In left hand the distal phalanx of index is proportionally shorter. Except the index all the digits present their usual proportions. The feet are well formed as far as distal ends of metatarsals. The toes are short, pulpy and loosely articulated. Each has two phalanges except the hallux, which has only one. This case was a twin with a normal male. An elder brother and younger sister have the 23—2 35G MERISTIC VARIATION. [PART i. digits similarly formed, hut in the last the feet are also turned in. STRUTHERS, /.'(/i/(. AYw Phil, -'"in:, lsi',3 cJ). p. luO. As an example of similar and simultaneous Variation in both extremities this is an instructive case. (2) SYXDACTYLISM. Under this name have been described those cases in which two nr more digits are to a greater or less extent united together. In their In-.- 1 ring mi the morphology of Repeated Parts some of these \ariations are very instructive. It will be found that the impor- tant considerations in this evidence may be divided into two part-. ()f these the first concerns the manner of the variation and the 31 • "nd to the position in which it is most commonly found. The manner of union between digits. In many cases of union of digits the limb is amorphous; with these we have now no special concern. In simpler examples the digits may lie of normal form but some or all of them may be united by a \\rl) of integument for a part or the whole of their length. (For records of such cases see FORT, AXNAXDALE, ), shewing cases of medius and annularis partially com- bined for the whole of their length. A higher condition is shewn in Fig. 104, III, in which the same digits are united so closely that their external appearance suggests that only four digits are present in the hand. In this specimen (.\X\AXHALE, I. c., p. 14) there were neverthe- less five metacarpals, but the first phalanges of III and IV were united peripherally and liore a M'eond and third ph;ilan\ and one nail common to them both. The same author (/. c. fig. 44) gives an illustration of such a set of bones from OTTO '. The following cases are interesting as occurring in Apes. •# " o " Pithecia satanas (Monkey) : young male having the third and fourth digits of the hand on each Mcle completely connected by a fold of nude skin. The remain- ing digits of the hands and feet were normal. FOKI-.ES, W. A., P. Z. S., 1882, p. 1 1-.'. Macacus cynomologus : specimen having the fifth finger of the right hand represented by a rudiment only. On dissection the first phalanx of the fifth finger was found to be enclosed with that of the fourth. All the fingers of the abnormal (right) hand were somewhat misshapen and bore several exostoses. [? congenital variation] FRIEDLOWSKY, A.. V<>rh. zool. lot. Gen. Wicn, 1870. xx. p. 1017, 1'hitc. 1 I have failed to find the original of this figure in OTTO'S works. CHAP. XIII.] UNION OF DIGITS : MAN. 357 Before going further certain points are to be noted. First, the union as shewn in the figures is a union or compounding as of optical I D FIG. 104. Cases of syndactylism. I, II and III. A progressive series illus- trating degrees in the union of medius and aunularis in the hand. IV. Case of union of index and medius of the foot. The union is incomplete peripherally. (After ANNANDALE.) images in Bilateral Series, and is not like that of parts in Successive Series. Next, the union of the bones is more complete peripherally and less complete centrally. The latter is a rule very commonly observed in cases of the union of the bones of digits both in Man and other mam- mals. This statement is made without prejudice to the other fact that in the least state of syndactylism as manifested by union of the soft parts, it is the most central phalanges which are united. Such a case of partial union between II and III in the foot1 is shewn in Fig. 104, IV (AXXAXDALE, I. c., fig. 34). The rule that in the lowest condition of syndactylism of the bones it is commonly at the periphery that the union is most complete is also difficult to understand in connexion with 1 Compare several remarkable cases of this variation in one family, LE CLERC, Mem. soc. Linn. Normandie, ix. p. xxvi. 358 MKKISTIC VARIATION. [PART i. the fact that the division of dibits in the lowest forms of polydactylism appears also first in tin- /»/•/////••/•«// phalanges. These phenomena appear to be in contradiction to each other. and I am not aware that the fact of tin- appearance of the dibits early in the development of the liml> throws any light on the difficulty. The number of dibits wliich may be thus united is not limited to two, and example- of intimate union between three and even four digit- are common. '/'/,• /,<,.<;>',:,,, ni' union. *527. Those who liave treated of this subject do not, so far as I ana aware, notice the fact that the phenomenon of Syndactylism most frequently affects part ii-ular dibits. From an examination of the recorded cases it appeai-s that in the hand there is a considerable preponderance of cases of union between the dibits III and IV. I regret that I have not material for a good analysis of the evidence on this point, but I may mention meanwhile that in a collection taken at random of some thirty-five cases of hands having only two digits united (chielly those gi\en by FORT and ANNANDALE) over 25 are cases of union of the digits III and IV ': in only one were the digits I and II united; the digit-* II and III in ? 4 cases ; the digits IV and V in ? 3 cases. *52: BODACTTLISM i. In the conditions already described though the digits are not all clearly divided from each other yet no one whole digit can be supposed to be absent. Even in the specimen shewn in Fig. 104, II, from the presence of separate metaearpals III and IV the identity of the several digits is still easily recogni/.ed. These simplest cases however by no means exhibit all the phenomena. From a large group of cases the three following are chosen as each illustrating a distinct possibility. 1 Owing to the ambiguity of some records as to the similarity of the condition in tin- riL'ht inul left hands I cannot give exact numbers. CHAP. XIIL] ONE DIGIT STANDING FOR TWO. 359 Upon the morphological questions arising out of these facts comment will be made when the whole subject of numerical Variation of digits is discussed. Representation of digits II and III of the pes by one digit. *529. Man having four digits in the right foot as shewn in Fig. 105. The calcaneum, astragalus, navicular, first (internal) cuneiform and cuboid were normal. The navicular had on its peripheral surface three facets as usual. The second and third cuneiforms were completely united to form one bone which bore no traces of its double nature as shewn in the figure (c- -f c3). The peripheral surfaces of both form one plane. Taking the four digits in order, the minimus has its normal form and tarsal relations. The digit next to it has the normal form and relations of a digit IV. FIG. 105. Bones of the right foot of No. 529. I, hallux. 11 + III, digit apparently representing index and medius. IV, annularis. V, minimus, a, astra- galus, sc, navicular. cb, cuboid, c1, internal cuneiform. c2 + c3, bone apparently representing the middle and external cuneiforms. (After GBCBER.) Internal to this is a nietatarsal of abnormal thickness articulating with the single bone presumably representing the external and middle cuneiforms. This metatar- sus presented no trace of duplicity. It bore a digit of three phalanges of more than normal thickness but otherwise normal. The hallux was normal, having two pha- langes. Each of the other digits had three phalanges, but the 2nd and 3rd phalanges of the minimus were ankylosed. Of the muscles, the transversalis pedis, one of the lumbricales, one of the inter - ossei dorsales and one of the interossei plantares were absent. The extensor and flexor longus each had three tendons. [Detailed description of bones and soft parts given.] GRUBEE, W., Virch. Arcli. f. path. Anat. u. Phi/s., 1869, XLVIT. p. 30-4, PI. vm. Single digit articulating with the cuboid [probably a case of representation of digits IV and V by one digit]. *530. Man having four digits on the left foot as follows. The foot is well formed. The digits I, II and III are normal and have normal tarsal relations. The fourth digit has a well-formed nietatarsal and three phalanges. The bones are perhaps rather more robust than those of a normal fifth digit, but the nietatarsal has the normal tuberosity at the base strongly developed. This metatarsal articulates with a cuboid of somewhat reduced size having only one articular facet on its peripheral surface. The other parts were all normal, and even in the muscular system only a trifling abnormality was found. Parents normal. STEINTHAL. C. F.. Virch. Arch, f. path. Anat. u. Phys., 1887, cix. p. 347. •"••JO M ERISTIC VARIATION. [PART i. a/ dii/it IV nf pes. *5-'51. [This case is introduced here for comparison with the last.] A left foot having abnormalities as follows. Calcanenm, astragalus, internal cuneiform normal in size :uid shape. The second cuneiform i.- rather broader than usual, but the surface which it presents to the internal cuneiform has all the characters of a middle cunei- form. External t<> this middle cuneiform is only one large tarsal bone in the distal row. This bone presents no clear sign of duplicity, but from its form and relations it appealed that it represented both the cuboid and the ecto-cuneiforrn. Thehallux and ilii/it II have approximately normal relations. The large cuboid-like bone • \ternally a ruetatarsal a<.'m.'iuj_' in shape with a metatarsal V ; and internal to tliis the same tarsal bone bears another metatarsal which upon its external side !/ivr.s off yet another metatarsal of reduced size. Each of the five metatarsals bore a digit, but the digits of the minimus and of the slender IV were webbed together. [Full details given.] BRENNKK, A., 1'irch. Arch. f. path. Anat. it. Pliys., 1883, xciv. p. "23, PI. ii. .'i.'!2. Besides the-e simpler cases there are very many recorded instances of reduction in number of digits in which the identification of the parts is quite uncertain. From the point of view of the naturalist it is worthy of remark that even in some of the cases departing most widely from the normal form the limb though having only thiee or perhaps two digits still presents an approach to a symmetry. Examples of this kin. I :uv given by GuYOT-DAUBES (Rev. d'Antliropol., 1888, xvn. p. 541, figs.) and by Fm 111.1:1. v (I'.rit. M>'<1. Jour., 1886 (1), p. 97o/f.'/-s'. ) and many more. Fotherby's record is interesting as relating to a family among whose members feet bearing only two opposable claw-like digits of irregular form recurred for five generations. Evi- dence relating to limbs of this kind is so obscure that it is not possible as yet to make deductions from it, but there seems to be a general agreement among anatomists that when two digits only remain one of them has the characters of a minimus. Reference must be made also to the fact that in cases of absence of radius the pollex is almost always absent. This seems to be established in very many cases. The only examples of a pollex present in the absence of a radius known to me are that of GRCBER, Virch. Arc-it, f. path. Anat. u. PInj*. INI;."), xxxn. p. 211, and that of GEISSEXDORFER, Zur Casuistik d. comjvn. Radiusdefectes, Munch. 1890. HORSE. V.-i riation in the number of digits in the Horse1 has been repeatedly observed from the earliest times. The mode of occur- rence of tin.- change is by no means always the same, but on the contrary -rvt-ral distinct forms of Variation may be recognized. ( )n inspection the cases may be divided into two groups. A. Cases in which the extra digit (or digits) possesses a distinct metacarpal or metatarsal. B. < iasea in which the large metacarpal or metatarsal (III) gives articulation to more than one digit. llesides these I have placed together in a third group (C) two very remarkable cases which cannot be clearly assigned to either of the other groups. These instances are of exceptional interest from 'he tact that in them is exhibited a condition intermediate between those of the other two groups. We have seen repeated 1}* that 1 In the Mule two cases have been recorded, but in the Ass I know no instance of polydactylism. Describing a polydactyle horse seen on a journey in Rio Grande VON .IHKKIN.; (Ko.-oniis, iss-t, xiv. p. li'.t) states that he belies.'- polydactyle horses to be lunch more common in S. America than in Europe, aii.l that most prisons who have tra\elled much in that country have met with cases. Mules between the jackass and mare are bred in great numbers, but he had heard of no case in a mule. CHAP. XIIL] DIGITS: HORSE. 361 Meristic Variation may take place by division of single members of Series, a phenomenon well seen in the B group ; and we have also seen many cases of numerical Variation by addition to the Series associated with a reconstitution, or more strictly a redistribution of differentiation amongst the members of the series thus newly constituted ; but here in these rare examples of the C group the nature of the parts is such that it cannot be predicated that the change is accomplished by either of these methods exclusively. From such cases it follows that the two processes are not really separable, but that they merge into each other. (Compare the similar facts seen in regard to teeth p. 269, and mammae p. 193.) A. EXTRA DIGITS BORNE BY DISTINCT METACARPAL OR METATARSAL. The cases in this group may be subdivided as follows : (1) Two digits, one being formed by the development of the digit II. a. Only three metacarpals or metatarsals (II — IV) as usual. Common form : fore and hind limb. b. Four metacarpals (? I — IV). Common form : anato- mically described in fore limb only. c. Five metacarpals (? I — V). Single case in fore limb. (2) Two digits, one being formed by development of the digit IV. Rare. (3) Three digits; the digits II and IV both developed. Rare. (4) Two digits; the digits II and IV both developed, III aborted. Rare. It will appear from the evidence that though the same varia- tion is often present in the limbs of both sides this is not always so. The fore and hind limbs also sometimes vary similarly and simultaneously, but in other cases they do not. Different forms of numerical Variation are also sometimes found on the two sides, and not rarely the variation in the fore limb is different fi'om that in the hind limb. (1) Two digits, one formed by development of the digit II. a. Three metacarpals or metatarsals only. To this division and to the next, (1) b, belong the great majority of cases of polydactylism in the Horse. Unfortunately most of the records have been made from living animals and contain no anatomical description : in the absence of such particulars it is not possible to know whether a given case belongs to this division or to the next, and it thus is impossible to determine the relative frequency with which the two forms occur. The following are given as specimen cases. 3G2 MERISTIC VARIATION. [PART i. Forefoot. *533. Horse of common breed, having a supernumerary digit on the inner side of the right fore foot (Fig. 100 . Humerus and radius: no noticeable variation. Ulna a little- more developed than usual; lower end slightly broken, having probably reached to lower fourth of radius. The part of the inferior and external tuberosity of the radius which is usually supposed to represent the ulna is larger than in the normal form. FIG. 106. Right fore foot of Horse, No. 533. A. The leg seen from in front. B. The carpal bones enlarged. M, magnum, sc, scaphoid, u, unci- forrn. t-, trapezoid. tl, supernumerary bone not found in normal, represent- ing trapezium. IV, the nietacarpal re- presenting digit IV. Ill and II, rneta- carpals bearing those digits respec- tively. (After ARLOING.) Carpus consisted of eight bones, instead of seven as usual. iil much larger than normal; lunar, cuneiform and pisiform normal. In the lo\\rr row the magnum and uncit'orm have normal relations, but in the place of the normally single trapezoid are two bones, one anterior (?-), the other posterior (tl). These together bear the enlarged inner mrtaearpal (II). The posterior of these bones had a short pyramidal pnu-os lying beside the inner meta- carpal. This process was partially constricted off and is regarded by CHAP, xiii.] DIGITS I HORSE. 363 ARLOING as a representative of the metacarpal I, the carpal portion of the bone being the trapezium. The outer metacarpal (IV) was perhaps slightly larger than usual. The inner metacarpal (II) was greatly enlarged at its central end, articulating with the two bones t1 and t-, and partly with the magnum. In its central part this metacarpal was fused with the large metacarpal (III) and above is united to it by ligameutous fibres. Below it again separates from the large metacarpal and is enlarged, bearing an additional digit of three phalanges, the lowest bearing a hoof. [This hoof is not curved towards the large hoof as in many specimens described, but is convex on both sides, resembling the hoof of an ass.] The large central metacarpal was flattened on the side adjacent to the enlarged metacarpal II. The muscles, nerves and vessels are fully described (q.v.). ARLOIXG, M. S., Ann. Sci. Nat., Zool., Ser. V. f. vm. pp. 61— G7, PL 534. Foal having two toes on each fore foot. The father and mother of this foal were both of the "variete chev aline comtoise." The foal in question was the only one which this mare dropped and she died two months afterwards. The foal was in nowise abnormal excepting for the peculiarity of the fore feet. The carpus was normal and the external metacarpal was rudimentary as usual and ends in a small knob. The internal metacarpal is thicker than the external one and bears a digit of three phalanges, the terminal phalanx bearing a small hoof. This hoof is curved outwards towards the normal hoof. The ligaments and tendons of the foot did not suffice to keep it stiff, and as the animal walked, it not only touched the ground with the hoof but also with the posterior surface of the phalanges. This led to inflammation of the foot, in consequence of which the foal was killed. CORXEVIN, Nouveaux cas de didactylie c/tez le cheval, Lyons (18821). [Note that this case differs from the last in the fact that the carpus was normal.] A similar case in the right fore foot is given by KITT, Dent. Ztsch. f. Thiermed., 1886, xn. Jahresb., 1884—5, p. 57, fig. Hind foot. Among the many accounts of polydactyle horses I know none which gives an anatomical description of a case of a fully developed digit II in the hind foot. The following case, indeed, is the only one known to me in which any facts respecting the condition of the tai'sus of a polydactyle horse have been ascertained. In it, as will be seen, the digit II was not fully developed. 535 Horse having the metatarsal II enlarged and bearing a rudimentary digit (Fig. 107 B and C). In the left hind foot the arrangement was as shewn in Figs. B and C. The metatarsal II was enlarged and articulated with "two united cuneiform bones " [presumably one bone with indica- tions of duplicity]. Internal to this digit was a " first cuneiform bone," but the digit I was not developed. The metatarsal II bore peripherally a rudiment of a digit as shewrn in the figure. The right hind foot was similar to the left but it is stated that the "three small cuneiform 364 MKRISTK' VARIATION. [PART i. bones" were separate . a> -hewn in Fig. 107 C. The fore feet of the --HUH- animal wen- in the cnndition described in (1) b. [See No. 537.] M \K-II. < i. < '.. Am. Jour. >tal row of the tarsus, and from the expres- -ions iiM'd it is implied that five such bones had been met with in other polydactyle hind feet. A number «\ alternative explanations are proposed; (1) that the five tai>al- correspond "'" those of the reptilian foot"; (2) that the lirst may be a amoid " ; >'•'•} that the t;r>t may he a remnant of the first metatarsal, for such a rudiment "apparently exists ill some fo^il hoi>es." With conjectures of this class mnrphi'loji>ts are familiar. Into their several merits it is impossible to inquire, but it may lie mentioned that the real ditliciilty is not the presence of the cuneiform marked 1, but the fact that the tarsal element of the digit II seems to have been double, and that the dibits in reality are not supported in the usual manner. CHAP. XIII.] DIGITS : HORSE. 3G5 given the digit II is extensively developed and the trapezium bears a splint bone representing the metacarpal I, like that which in the normal represents the digit II. This is a phenomenon illustrating the principle seen in the case of teeth and other p.-irt- in series (see p. 272), namely, increase in the degree of development of the normally last member of a series correlated with the appear- ance of a new member beyond it, Nevertheless the same cases have sometimes been described (e.g. Gated. Mus. Coll. Surg.) on a different hypothesis. This is illustrated by the lettering of Fig. 108. On this other view the innermost carpal is considered to be the trapezoid and its splint-bone is regarded as the original metacarpal II. The second digit, ac, and its tarsal bone are supposed to be " accessory " or "intercalated." To these terms it is difficult to attach any definite meaning. The proposal that some digits are to be reckoned in estimating homologies and that others are to be omitted is arbitrary, and, if allowed, would make nomenclature dependent on personal choice. It is, as has been often pointed out in foregoing chapters, simpler to number the parts in order as they occur and to accept the visible phenomena as the safest index of the methods and possibilities of Variation. Nevertheless, to illustrate the point at issue I have introduced two cases of the same Variation, the one, No. 536, lettered on the view advocated by the Catalogue of the College of Surgeons, &c., the other, No. 537, acm FIG. 108. Eight fore foot of Horse No. 53G from behind. The upper surfaces of the carpal bones of the distal row are separately shewn above. Specimen in Coll. Surg. Mus., Ter. Cat., 304. T, trapezoid. J/, magnum. U, unciform. ac, ac- cessory carpal bone. II, III, IV, metacarpals. acm, accessory metacarpal. This figure is lettered to illustrate the hypothesis adopted in the Catalogue, which is alternative to that adopted in Fig. 107, A. 3f/oid, while nr \< considered to be an intercalated bone, perhaps an additional os magnum. The unciform bears a splint-bone, namely UK-JI. 1 V. Tin- magnum bears a fully-formed mcp. and digit III. With the bone ac articulates a large and substantial ni'-tacur]>al with a digit of three phalanges and a hoof, while the IMHH- T hear- another splint-bone, marked II in the figure on the hypothesis that the digit ac is not to be reckoned. Cat. Mus. Coll. Surg., Ti-riit. Series, 1872, No. 304. As mentioned above, it would lie more consistent with fact to count the bone ac as trapezoid with mcp. II and the hone T as trapezium with mcp. I. .".:;". Horse having both fore feet (Fig. 107, A) as in the last case, the hind feet being in the condition described in the last Section, No. 535. MAKSII, Am. Jour. >'«•/., xun. 1892, p. 310, Jigs. 3, G, and 8. •~>3S. l''"a' liavhiLC right manus closely resembling the above, the other limbs bring unknown. The mcp. I was longer than the normal mcp. II. In this case the metacarpal II was partially united to mcp. Ill at the cent ml end but was free from it peripherally. WEHENKEL, J. M., L« !',,! ii,l,i<-ti/li,!. t-/t,-~ les Solipedes, from the Journal de la soc. r. des AV/. ///•''/. •/ inif. two digits and rudiments oi' a third more developed than usual. Hind feet normal. GEOFFROY ST HILAIRE, Ann. Sci. Nat., xi. 1827, p. L'24. Similar case, BREDix, Froriep's Notizen, xvm. p. 202. 542. Horse from Texas, having extra digit on inside of each manus, and an extra digit l>oth on the outside and on the inside of each pes [external view only]. MARSH, Am. Jour, tici., XLIII. 1892, p. 34-1, ." I-.'!. Horse with both splint-bones bearing digits in each foot. FRANCE, II, < i, ,11,. 1 . behind the upper part of the proximal phalanx. Two small sesamoids lay behind the third phalanx. A good deal of exostosis had taken place in all the phalangeal bones. ARLOING, M. S., Ann. Sci. Nat., Ser. V., Tome vin. pp. G7— 69, I'l. Foal : in right fore foot the large metacarpal divided into two parts, each bearing a separate digit. The proximal row of the carpus consisted of four normal bones, but the distal row was composed of two bones only. The external splint-bone (IV) was of normal proportions, but the internal splint-bone (III had almost completely disappeared. The large metacarpal (III) divided in its peripheral third into t\\o equal cylindrical branches, each of which bore a digit composed of three phalanges and bearing a crescentic hoof. These two digits were bent across each other in a shapeless way. DELPLANQCE, Mem. Soc. ccntr. '']>. t,'x Kaulng. 1860, p. 1137. [Perhaps a case belonging to this section.] FIG. 111. Right fore foot of Horse No. 550, from in front. sc, scaphoid, tp, trapezoid. II, III, IV, metacarpals. 111(7, III b, internal and external sets of pha- langes representing the digit III of the normal. (After AKLOING.) CHAP, xni.] DIGITS OF HORSE : SPECIAL CASES. 371 IUM C. INTERMEDIATE CASES. We have now seen cases of increase in number of digits oc- curring by addition to the series, and cases occurring by division of III. It may at first sight seem impossible that there can be any process intermediate between these two. Nevertheless the word sufficiently nearly describes the condition of at least the first of the following cases, and is to some extent applicable to the second also. If the condition shewn in Fig. 1 1 2 be compared with those in Figs. 106 and 110 it will be seen that it is really inter- mediate between them. *553. Horse (young): right manus with internal supernumerary digit. The bones are not in place, but have been attached with wires. The condition is as follows. The distal series of carpus remains and is normal or nearly so. Of the splint-bones, the inner (mcp. II) is thicker than the outer mcp. IV, but it is very little longer. The large metacarpal (III) is almost, but not quite, bilaterally symmetrical about its middle line. In the distal epiphysis the asymmetry is distinct, the internal side of the epiphysis being less developed than the external side. This epiphysis bears a large digit of three phalanges, but instead of being bilaterally symmetrical, like the normal toe of the Horse, each of the joints is flattened on the internal side, the flattening increasing from the first to the third phalanx. The hoof is greatly flattened on its inner face. Internally to the epiphysis of the digit III there is a separate small bone, representing the distal end of an inner metacarpal. This bone bears a digit with two phalanges, and a hoof which is flat on the side turned towards the other hoof, like that of a calf, though it only reaches to the top of the larger hoof. The first phalanx of this digit is imperfectly divided by a suture into two parts. This division is not that of the epiphysis from the shaft. This extra digit may be thought to be that of mcp. II, but it is clear that it was in part applied to mcp. III. Note also that mcp. Ill is modified in correlation with its presence. Coll. Surg. Mas., in Terat. Cat., No. 301. man The foregoing case well illustrates the made- NO. 553, from behind, quacy of the view on which an individuality is m, magnum, td, tra- ^ . V •'. •*-.*-. rri-vi H j» n n r»itr»rm attributed to members of the digital series. pezoid. u, unciforni. (From a specimen The smaller digit in it is as regards the Sym- in Coll. Surg. Mus.). 24—2 MERISTIC VARIATION. [PART i. rnetry of the limb complementary to the larger digit. It is a partial substitute fur the inner half of the digit III. If the visible Symmetry of the limb is an index of mechanical relations in which the parts stood to each other in the original division of the manus into digits it is possible that there may have been a mechanical equivalence between the two digits. 554. Mule (between jackass and mare): foetus of about nine months having super- numerary digits. Hind limbs normal. Fore limbs normal as far as peripheral ( ml- of metaearpals. Each manus consisted of three digits. Iii. .Me tacarpal III normal as far as line of union with its di-tal epiphysis. The inner part of the sheath of the epiphypis is continued into a rod of fibro-cartilage which supports an extra toe. This rod of cartilage contains a small ossification \\hirh lepresent*, as it were, the proximal phalanx of this internal supernumerary toe. Its outer end bears a small second phalanx, and this bears a small distal phalanx which was covered by a hoof. This extra toe, therefore, is internal to the main continuation of the leg, commences from the line of union . een the large metacarpal and its epiphysis, and has three phalangeal joints. The epipbysis of the large metacarpal supports a normal first phalanx with which the second phalanx articulates. This second phalanx is enlarged internally [details obscure] to bear a small extra nodule of cartilage which appears to be of the nature of an extra toe. The second phalanx al.-o I*, at- a large third (ungual) phalanx. This ungual phalanx together with the minute supernumerary toe borne by the second phalanx are together encased in a common hoof, but the hoof is divided by a groove into two distinct lobes, corresponding with the division between the two digits which it contains. The whole foot, therefore, has one free internal toe and one large toe bearing a small internal one, which are enclosed in a common hoof. Left fore foot. Fig. 113. The small, lateral metatarsal II and IV, and the large central metatarsal III are normally constructed ; but from the inner side of the sheath of the large metatarsal, upon the line of union between the bone and its epiphysis, arises a fibre-cartilaginous rod, which contains an ossification representing the proximal phalanx of a supernumerary toe (lettered II in fig.). This rod of tissue in its proximal portion is represented in the figure as abutting on, but distinct from the end of the inner small, !ati i al metatarsal. It bears a cartilaginous second phalanx, containing a small ossification, which articulates with a terminal i ungual) phalanx covered by a hoof. The distal end of the large metatarsal articulates with a large first phalanx, which at its proximal end is of normal width. At about its middle point this phalanx bifun-at. - into two parts, of which the inner, Ilia, is short and ends a little beyond the point of bifurcation : it bears an nniinnl phalanx only, which is encased in a hoof. The outer limb (III b) of the bifurcated first phalanx bears an elongated second phalanx of somewhat irregular shape which carries a larger ungual phalanx covered by a separate hoof. In this foot, therefore, there is an inner toe consisting of three phalanges attached to the inside of the large metatarsal : next, the proximal phalanx of the large toe is divided longitudinally into two parts, bearing (1) an internal toe having only the ungual phalanx and hoof; (2) an outer toe which has a second and third (ungual) phalanx. In the case of both feet, the hoof and uugual phalanx of the outer toe are turned inward*, having an external curved edge and an internal straight edge; but the two inner toes in each case are turned ontinirdx, having their outer edges straight and their inner edges curved. JOLY, A. et LAVOCAT, N., Mem. de I' Ac. de* .So/, de Tou- louse, S. 4, Tome in., 1853, p. 364, Platen. [Authors regard this case as proof of Fro. 113. Left fore foot of Mule No. 554. IV, the external splint-bone. Ill, the chief metacarpal. Ill'/, III/;, internal and external rudi- mentary digits borne by III. II, a super- numerary digit at- tached to the inner side of III. (After JOLY and LAVOCAT.) CHAP, xili.] DIGITS OF HORSE : SPECIAL CASES. 373 truth of certain views of the phytogeny of the Horse and employ a system of nomen- clature based on these views. This is not retained in the abstract here given.] ARTIODACTYLA. In the domesticated animals of this order digital Variation is not rare, being in the case of the Pig especially common. Such variation has been seen in the Roebuck and Fallow Deer, but not in any more truly wild form so far as I am aware. These varia- tions may take the form either of polydactylism or of syndactylism. Of the former a few cases are known in Ox, Sheep, Roebuck Fallow Deer, and many cases in the Pig ; syndactylism has been seen only in the Ox and in the Pig. The absence of cases of syndactylism in the Sheep is a curious instance of the caprice with which Variation occurs. The phenomena of polydactylism in Pecora may conveniently be taken separately from the similar phenomena in Pigs. POLYDACTYLISM IN PECORA. At the outset one negative feature in the evidence calls for notice. It is known that in the embryo Sheep rudiments of meta- carpals II and V exist l which afterwards unite with III and IV. In view of this fact it might be expected by some that there would be found cases of Sheep and perhaps Oxen polydactyle by develop- ment of the digits II or V. In the Sheep only one case (No. 555) is known that can be possibly so interpreted; and in the Ox there is no such case unless Nos. 557, 558, and 559 should be held by any to be examples of the development of II, a view attended by many difficulties. The two following examples are the only ones known to me in which there can be any question of reappearance of a lost digit, but in neither is the evidence at all clear. *555. Sheep. Some specimens of a small Chilian breed had an extra digit on the hind foot. It was not present in all individuals and was not seen to be inherited; but normal parents were observed to have offspring thus varying. [From the description given I cannot tell whether the extra digit was internal or external. Also, though said to have been on the hind foot, in describing the bones the cannon-bone is twice called metacarpus ; probably this is a slip for metatarsus.] The digit was only attached by skin. It contained a bent bone, of which^ the upper segment was 20 mm. long, the lower 13 mm. Proximally the i ROSENBERG, Z. f. w. Z., 1873, xxm. pp. 126—132, figs. 14, &c. Sometimes these rudiments remain fairly distinct at the proximal end of the cannon-bone, especially of the fore foot. See NATHUSIUS, Die Schafzncht, 1880, pp. 137 and 142, 374 MERISTIC VARIATION. [PART I. cartilaginous head of this bone rested in a pit on the tendon of the flexor brevis digitorum at the level of the end of first third of the cannon-bone, and peripherally it bore an end-phalanx and daw-like hunt', properly articulating. Xo splint-bones present. [Other details given : it was suggested that the bent bone re- presented an extra ' metacarpal ' and first and second phalanx.] VON NATIM-SITS, H., Die Srlmf:uclit, 1S80, p. 143. 556. Capreolus caprea (Roebuck), 2 yr. old, killed in district of Betzenstein, having a slender fifth digit on the inside of each fore foot. In the left there was a small, conical metacarpal element, bearing a digit with three phalanges. The right extra digit had a longer metacarpal piece with epiphysis, but in it there were only two phalanges. Each bore a hoof of about the size of those of II or V. The hoofs curved outwards. BAU- MULLER, C., Abh. naturh. Ges. Numb., ix. 1892, p. 53, PL Other cases of polydactyle Pecora mostly fall into two groups : (1) Examples of limbs having three digits borne by a large cannon-bone made up of three metatarsal or metacarpal elements, grouped in one system of Symmetry. The axis of Symmetry is then deflected from the normal position, and instead of falling between two digits it approaches more or less to the central line of the middle of the three digits. The degree to which this change of Symmetry takes place corresponds irregularly with the extent to which the innermost digit is developed. This form is known in the Ox only [? Goat]. (2) Limbs in which the series of digits has two more or less definite axes of Minor Symmetry. Both of the systems of Svm- V V V *> metry thus funned are in addition arranged about one common axis of Symmetry. The nature of this condition will be discussed later. It occurs in Ox, Sheep, Roebuck and Deer. (1) Three digits in one system of Symmetry. 55 1. Calf. Right manus (Fig. 114) having three digits borne by a single cannon-bone. This is an old specimen of unknown history which was kindly sent to me by Mr \T. L. Sclater for examination. Of the carpal bones only the distal row remains, containing a trap- ezoido-magnum and unciform nut differing visibly from the normal. The cannon-bone spreads at about its middle into three sub-equal parts, each ending in a separate articular head bearing a trochlear ridge. Between these articular surfaces the only point of difference was that in that of the middle digit (b), the trochlear ridge was rather nearer to the outer surface of the joint, not dividing it into two halves as usual (see figure). The foramen for entrance of the nutrient vessel was in the channel between the external and middle digits. This channel was very slightly deeper than the corresponding channel between the middle and inner digits. Each articular head bore a digit, well formed, CHAP. XIII.] DIGITS : PECORA. 375 of approximately similar lengths, having a hoof. The hoofs of the outer and inner digits curved to the middle line of the limb, like the M PC ..-n for FIG. 114. Eight fore foot of a Calf, No. 537. I. The whole foot seen from behind. II. The bones from behind. tpM. trapezoido-ruaguum. unc, unciform. n. for., nutrient foramen. V, dotted outline shewing position of supposed rudiment of digit V. Sesamoids not shewn. normal hoofs of a cloven-footed animal, but the hoof of the central toe was convex on both sides. The two accessory hoofs were in place, one on each side as shewn in the figure. The whole manus was very nearly symmetrical about the middle line of this digit. It was notice- able that the outer and inner hoofs were both rather narrow in propor- tion to the length of the limb, but the whole width of the foot was rather greater than it should be. The small bone considered to repre- sent the digit V articulates with the unciform as usual, being of normal size. Each of the three digits was supplied with flexor and extensor tendons. 558. Heifer having three fully developed toes on each hind limb. The right hind foot described (Fig. 115). The calcaneum, astragalus and cuboido-navicular presented no special abnormality. The cuneiform MERLSTK- VARIATION. [PART i. ••i-ies usually consisting of two pieces in the Ox, were here represented by one piece (c and c8), though externally the bone seemed to be in two pieces. The internal portion (<•) approximately corresponding in posi- tion with the normal ento-cuneiform was imperfectly and irregularly divided by a groove into two parts. The metatarsus or cannon-bone at its proximal md was almost normal, but from about its middle it ^pread out into three parts as shewn in the figure, each part ending in an articular surface and bearing a digit, but the trochlear ridge for the innermost digit (ac) was not quite so large as those for the others. From the skeleton it seems clear that this innermost digit could not have readied the ground. Of the three hoofs the middle one was the largest, the other two being nearly equal to each other in size. The outermost hoof curved inwards and the innermost hoof curved outwards. The middle hoof also curved outwards, but less so tlian tlmt of a normal ;md that HC phvsis of the metacarpal of the middle diLMt ;s ;ui accessory digit. (?III). Coll ,v///v/. J/IM., Ter>if. Series, No. :?on. ' CHAP, xm.] DIGITS : PECORA. 377 The following two cases are perhaps of the same nature as the foregoing. 560. Goat having three digits in each manus, described by GEOFFROY Sx HILAIRE, Hint, de A Anom. i. p. 689. The description states that a supernumerary toe was placed between the two normal toes. The middle toe was one-third of the size of a normal toe, but the lower part of the foot was larger than usual. This case was probably like No. 557 ; for from the shapes of the lateral hoofs that case also might seem to an observer at first sight to be an example of a toe "intercalated " between two normal toes. But in No. 5GO the middle digit was reduced. •561. Calf having a small supernumerary toe 'placed between the digits of the right manus.' This toe had a hoof and seemed externally to be perfect, but on dissection it was found to contain no ossification, but was entirely composed of fibrous tissue and fat. ERCOLANI, Mem. Ac. Bologna, S. -1, in. p. 772. [Probably case like last, the middle digit being still less developed.] This case is probably distinct from the others given. 562. Calf: right fore foot having three complete metacarpals, each bearing a digit of three phalanges. The two outer were disposed as in the normal, but the innermost rnetacarpal was quite free from the others and its digit stood off from the others [not grouping into their symmetry as in preceding cases] and having an ungual phalaux [of ? pyramidal shape]. DELPLANQUE, Etudes TeratoL, Douai, 1869, n. p. 33, PI. II. Jigs. 2 and 3. [It is difficult to determine the relation of this case to the others and I am not sure that I have rightly understood the form of the inner digit ; but since this digit seems to be outside the Minor Symmetry of the limb it is almost impossible to suppose that it can really be the digit II reappearing. I incline to think that it is more likely that this digit belongs to a separate Minor Symmetry. Compare the similar phenomena in Pigs, No. 570.] On the foregoing cases some comment may be made. It may be noted that the two first (Nos. 557 and 558) present two stages or conditions of one variation. In No. 557 all three digits reach the ground and the change of Symmetry is completed ; in No. 558 the internal digit is not so large in proportion and the plane of Symmetry is not deflected so far. As to the morphology of the three digits in these cases three views are open on the accepted hypotheses. First, the internal digit (if it be admitted to be the supernumerary) may be simply a developed II. The existence of the normal accessory hoofs practically negatives this suggestion, for there can be little doubt that one of them represents II (v. infra, No. 579). The condition of the cuneiforms in No. 558 suggests further that an element is introduced into the cuneiform series between the almost normally formed ento-cuneiform and the ecto-cuneiform. But if this new element is the middle cuneiform, then the internal digit (Fig. 115, ac) may still be II. But the innermost ergot is II in the normal. Or is the inner ergot in this case I, and is this once more a case of the development of a normally terminal member, II, and of the addition of I beyond it in correlation, as we saw in the Horse (see p. 364) ? That such a correlation may exist is unquestionable, and it is not clear that these cases are not examples of it. But even if this principle be adopted here as a means of bringing these cases into harmony with received conceptions it will presently be seen that it still will not reconcile some other cases, notably those of the presence of supernumerary digits in a Minor Symmetry apart from that of the normal series. Yet if the conception of the digits as '.'>, - MERISTIC VARIATION. [PART I. endowed with individuality be not of universal application, we shall IP .1 save ii even it' bv ingenuity we may represent the facts of the piv-,.iit case a- in couf. trinity with its conditions. On the other hand it maybe suggested that there is a division of sunn- one dn;it, and undoubtedly in No. 559 there is a sugges- tion that the innermost digit and the central digit are both formed l>v division .,f III. Jiut in the first place this view cannot so easily bi- extended to NOB. ">.~>7 and 558, for in them there is practically no indication that the dibits are not all independent and equivalent. The circumstance that the nutrient vessel enters between the external and middle digits may perhaps be taken to shew that they are 111 and IV; but this vessel, if single, must necessarily enter in dm- in- other of the interspaces and there is no reason for supposing that, were there an actual repetition of a digit, the vessel must also be doubled, though doubtless repetition of vessels commonly enough occurs with repetition of the organs supplied. Next, the Symmetry of the foot, the development of the middle digit bo take a median place, the position of the accessory hoofs, one on either side equidistant from the middle line of the manus, all these are suivlv indications that this limb was from the first developed and planned as a series of three digits, and not as a series of fir*, digits of which one afterwards divided. The series has a new number of members, and each member is in correlation with the existence of the new number remodelled. It is no part of the view here urged to deny that a single digit, like any other single member of a series, may divide into two (or even into three) for this phenomenon is not rare. Probably enough No. 559 is actually a case of such a division of the digit III. But here in digits as in mammae, teeth, &c., the evidence goes to shew t hat t here is no real distinction between the division of one member to form two, and that more fundamental reconstitutiou of the series seen in No. .~>57, for the state of No. 558 is almost halfway between them. In it we almost see the digit III in the act of losing its idem ity. (2) Li//ifm n-it/t rn a normal appendage and are then a pair, being formed as a right and a left, composing a separate Secondary Symmetry. On the first view the digits of each group are in symmetry with each other like those of the normal limb, the two groups also balancing each other like the halves of a double-hand: on the other view one of the groups would be supposed to be made up of a right and a left digit III, or of a right and a left digit IV. The possibility of the second view being true arises of course in the Artiodactyles from the fact that in them the normal digits compose a bilateral Minor Symmetry. There is nevertheless little doubt that the former account is the right one and that neither group is a Secondary Symmetry ; for were either of the groups really in Secondary Symmetry the supposed super- numerary group should contain at least parts of four digits. Lastly, some of the cases, as No. 566, are clearly of the nature of double limbs, both groups having a common axis of Symmetry. A further difficulty arises from the fact that most of these double limbs are old specimens cut off from the trunk. There is therefore no proof that such a limb is not that of a polynielian in Geoffroy St Hilaire's sense. In other words, though it is practically certain that neither of the groups of digits is itself a system of Secondary Symme- try it is quite possible, and in some cases likely that the whole limb is of this nature. In cases of duplicity, especially of posterior duplicity, the two limbs of one or both of the united bodies frequently form a compound structure somewhat resembling one of the double limbs here under consideration. Hence it is not possible to include with confid- ence great numbers of cases of double limbs described by various writers or preserved in museums, for it is rarely that particulars re- garding the rest of the animal are to be had. This difficulty applies to almost all cases known to me and they are therefore given with this caution. This objection of course does not apply to such a case as No. 564. The following few cases will sufficiently illustrate the different forms of limbs included in this section. They consist of two chief kinds ; first, limbs like Nos. 563 and 566, in which both groups contain two digits, and secondly, cases like No. 567, in which one of the groups contains three digits, recalling the state described in the last section (cp. Nos. 558 and 559). Besides these there are some cases of amor- phous extra digits not here related. 563. Cow, full-grown, right fore foot with four digits arranged in two groups of two, as shewn in fig. 116. The carpus not preserved. No particulars as to the rest of the animal. This specimen is in the Museum of Douai and is described in detail by DELPLANQUE, Etudes Teratologiques, n. Douai, 1869, p. 30, PL I. [The possibility that this may be a limb of a pygomelian is not excluded.] *564. Cenrus dama (Fallow Deer). A female having each hind foot double. The division occurs in the upper part of the tarsus, which gradually diverges into two separate tarsi [? metatarsi] and two separate feet. This doe had for several successive years dropped a fawn with the same malformation, though she had been served by several bucks. WARD, EDWIN, Proc. Zool. Soc., 1874, p. 90. 565. Two cases, a Roebuck and a Deer, mentioned by GEOFFROY ST HILAIRE (Hist, des Anom., I. p. 697) are probably of this nature. 380 .Mi:KI>TJr VARIATION, [PART i. FIG. 116. Specimen stated by Delplanque to have been the right foot of a Cow (see No. 563). (After DELPLANQUE.) clc *56G. Sheep, having four toes, each having three phalanges, on each p sterior limb (Fig. 117i. In each case the toes were arranged as two pairs, the hoofs of each pair being turned toward- cadi other. Eucli foot had four united metatarsals, marked off from each other by grooves on the -nrface of the bone, the division between the metatarsals of each pair of toes being clearly marked at the peripheral • nds of the bones. In the case of each foot there were part- of a pair of tai>i arranged in a symmetrical and com- plementary manner about the middle Hue of the limb. In cadi tar-us there was a large \> me having the structure of two calcanen, a right and a left, united poMeriorly ; the upward prolongation, proper to the calcaneum, was present on eiidi -id.' of this hour ;md projected upwards on each of ill'1 til'ia. The astragalus of each foot was similarly a hone donlile in form, uniting in it-elf the parts of a ri^'ht and left a-tra^'alus. The left foot had a sin/le flat bone below tlie .-i-trau'alu-. ivpr. -< nting as it were two naviculars fused together ; and four bones in a di-tal row, representing pre-uinalily two ciiiioid-. and two cuneiform dements. In the rL'ht foot also there wa- a single bone below the LgalUB, and four other bon< - airan ;ed in a way slightly different from that of the other foot. EKCOI.ANI, ibid., p. 77:<. /'-('-. n. ligs. 7 and si. Fn;. 117. Bonesof left hind foot of a Sheep, Xo. 01*16 [q.r.] copied from ERCOLANI. clc, clc, the two calcanen. . extra diyits internal to digit II, .")71. This condit ion is not less common than the last. The two extra dibits art- Ix.rne cither by two separate extra carpal bones (Fig. 119, c1, c'), "i- by (tin- carpal imperfectly divided (ERCOLANI, 1. c., PI. i., Jig. 6); or i lie metacarpals of the extra digits simply articulate against the carpn -metacar -pal joint of II (as in a specimen in my own possession). The extra dibits may be double throughout, or the two may be com- pounded in their proximal parts (ERCOLANI, 1. c., PL i., fig. 5; also case in < >xt'onl Mus.1, 150G, «, in which the two extra digits were ill-formed and of uiH-ijual size, having a common metacarpal). Fig. 119 shews Mich a pair of extra dibits in their most complete form. The central part of the metacarpal of II has either never ossified or has been absorbed. As bearing on the question of the relations of parts in MerUtic Hep, present, which separates the two articular extremities of the bone. In this specimen this deft was represented only by a sort of antero-posterior channel, at the bottom of which there was a slight groove, which was all that remained as an indication of the "M^mal double nature of the bone. At the back of this metacarpal there were only three so-amoids instead of four, and in the central one there was m.t the -lightest trace of duplicity. This sesamoid was placed opposite to the channel above mentioned. The two first phalanges wen- entirely united, but the vestiges of this fusion could lie seen both before and behind and also in the two articular surfaces by which the bone was in contact with the metacarpal. The same was true of the second phalanges. The third phalanges however were so completely fused and so reduced in size that they had the appearance of a single bone. The two small sesamoids were similarly united. The general appearance of this limb was remarkably like that of the Horse. BARRIER, Rec. med, veter., IsM, Ser. 'i. Tome lo, p. 490. [No particulars given as to the condition of the other feet of the same animal.] 574. Ox having right fore foot with a single large metacarpal and one splint-bone I? V]. The peripheral end of the metacarpal had two articular surfaces closely compressed together, and these two surfaces bore but one digit of three phalanges and one hoof like that of a Foal. The preparation was an old one, and with regard to the accessory hoofs there was no indication that could be relied on. KITT, Dent. Ztschr. f. Tliierm., XII. 1886, Jaltrexb., L884— 53 p. (\'2, Case No. III. 575. Calf: each foot having only one hoof. The phalanges, sesamoids, meta- carpals and metatarsals, wore all normal and the hoofs alone were united. The cavity nf the hoof was divided internally into two chambers, which were more distinct in front than behind. Externally each hoof was slightly bifid in front, but the soles of the t'tet were without trace of division. MOROT, C., Bull, de In Soc. ,1,' in-'il. n't., 1889, Ser. MI. T. vi. p. 39. Case I. ~>7ti. Calf: killed at 10 weeks old. The left fore foot alone was abnormal, having only "in hoof. Viewed from without, this hoof was like that of a young ass, but it bore a Blight HP ilian degression, which was about 3 cm. wide and only 1 to '2 mm. deep, which was all that remained to shew its double structure. Internally the cavity of the hoof was single, hut a horny ridge was present on the inside in the region ot the depression. The two unequal phalanges were peripherally united into a single bone, but. w. iv separate centrally, and the two parts were not quite symmetrical [details given]. The other parts were nearly normal. MOBOT, C., 7. c., Case 2. *~>77. Ox. In a newly-born calf the following abnormalities were seen. Tn the right fore fn,,t then- was a small well formed metacarpal bone on the outside of the normal paired metacarpals, and a similar but more rudimentary structure was also present on the inside of the limb. The additional outer metacarpal bore two small phal- angeal cartilages, and with them had a length of about 10 cm.. but the supernumerary metacarpal on the inner side was more rudimentary and bore no trace of phalangeal structures. The toes CHAP. XIIL] SYNDACTYLISM : OX. 385 borne by the normal metacarpal of the right fore foot were ab- normal, inasmuch as the second and third phalanges were united together. The first pair of phalanges were separate, but their outer ends were modified so as to articulate with the single second phalanx. The distal (third) phalanx bore a groove indicating its double origin, but the second phalanx was without any such groove, and was to all appearance a single structure. The left fore foot also bore an outer and an inner supernumerary metacarpal, but in this case it was the inner supernumerary meta- carpal which attained the greatest size. This inner metacarpal bore two small phalangeal bones, while the outer extra metacarpal was more rudimentary and had no phalanges. The phalanges of the two normal toes were separate in the left foot, but though the bones were of the ordinary formation the two toes were enclosed in a common hoof. BOAS, J. E. V., Morph. Jahrb., 1890, p. 530, figs. BOAS also states that in the museum of the Agricultural School of Copenhagen are several instances of united toes in the fore foot of the Ox, and that in all these specimens the outer metacarpals (II and V) are larger than they are in normal specimens, but are not so much developed as in the case just described. BOAS, I.e. 578. A case [sc. Ox (?)] is also mentioned in which the two normal toes of the hind foot were united, and the median and distal parts of the metatarsals II and V were developed, though they are absent in the normal form. BOAS, I.e. *579. Calf having the digits of each foot united and bearing a single hoof. The carpus and tarsus were not seen. Fore foot. The chief digits, III and IV, were completely united in the fore limbs and bore a single hoof, but, in addition to this variation, the metacarpals of the lateral digits, II and Y, were developed and ossified. The length of metacarpal II was 9 cm. and its thickness at the proximal end was 1-5 cm. Metacarpal V had a length of 8 cm. and a maximum thick- ness of 1 '3 cm. at the proximal end. The metacarpal of the united digits, III and IV, measured 13 cm. in length. The metacarpal V was slightly bind at its distal extremity, and here presented two articular surfaces. With the internal of these there articulated a bone measuring 2 cm. by 0'5 cm., and attached by fibrous tissue to the end of this bone there was a cartilaginous nodule. The external end of metacarpal V bore a rod-like piece of cartilage, 1 cm. in length. This and the cartilaginous nodule of the other part of the digit together formed the basis of one of the accessory hoofs (ergots), but the horny covering itself was divided by a deep cleft into two imperfectly separate parts. To the metacarpal of II was loosely articulated a bone 2-5 cm. in length, to which a nodule of cartilage was attached. The end of this digit was covered by an accessory hoof, which was imperfectly double like that of V and contained a second cartilaginous nodule, which was distinct from the first and was not supported by any proximal bone. The union between the digits III and IV was complete, and the re- is. 25 386 MKKISTIC VARIATION. suiting structure with its hoof was like that of the Horse. The artic- ulation- were perfectly mobile. At the metacarpo-phalangeal joint there wen- two >e-;unoids only. [With this division in the lateral digit> on fa-ion of III and IV compare Pig, No. 585.] Jllii'l font. Tin- digits III and IV were united as in the fore feet, but tin- -ingle hoof was more pointed. The metatarsals II and V wen- developed. The latter was 12'7 cm. long, and was united to the lai-^e met;it;ir.-al above, but was free below, and was joined by a liga- ment to its accessory hoof. That of II began in the middle of the nietatai-Mis, being rart ilaginous and of about the thickness of a goose- quill : it was coiineeteil with the accessory hoof by a ligament only. Km, Deut. Z.f. Thierm., xn., 1886, Jahresb. 1884-85, p. 59, Case No. I.//.'/. *580. Calf. Three of the feet had each one large digit (III and IV) formed much as in the last case. But in the dried preparation it could lie seen that in each of these feet there were four accessory hoot's, ;md connected with them several ossicles irregularly placed, re- presenting phalanges 1 and 2 connected by ligaments with lateral metacarpals. The fourth foot [which?] had only three accessory hoofs, but the phalanges 1 and 2 of the digits III and IV were partially separated from each other, and there were two distal phalanges, one for e.-u-h digit ; but instead of being side by side, they were placed one behind the other, both being encased in a single hoof. KlTT, I.e., p. Gl, ( 'ase No. I I. 581. Calf. A right fore foot having the two chief digits (III and IV) represented by one digit with one hoof. The distal end of the common metaeai-pal had t \\ o urticular surfaces in close contact which bore a di-it iii \\hieh there were only slight traces of duplicity. The meta- carpal of the digit V was represented by two small bones, one beside the upper and one beside the lower end of the large metacarpal. These two ossicles were connected together by a ligament which is prolonged downwards as far as the accessory hoof, and contains two nodules of cartilage. On the median side of the foot there is no rudiment of the metacarpal II, but the accessory hoof contains a nucleus of partly ossified cartilage. KITT, /. c., p. 63, Case IV. '^'2. Calf having n single hoof on each fore foot. In external appearance, the hoof was a single structure, but its anterior portion shewed two projections which sug- gested that it was really a double structure. The outer accessory hoof was present on the right foot in a very much reduced form, but the corresponding structure of the inner side of the foot was entirely absent, and a marked ' turning-point ' in the hairs (//-/<;/ xamiiied these specimen- and made the sketches in Fig. 118. I could not satisfactorily identify the bones of carpus and tarsus. The proximal parK were ro \ered by a large exostosis.] The extensor of the phalanges ended iu three tendons only, and the same \\as true of the deep and superficial flexors. The central tend. .a in each case however shewed signs of its double nature. BARRIER, Rec. med. ve'ter., 1884, Ser. 6, Tom. xm. p. 491. • >-s>4' A -keleton of a solid-hoofed pig exists in the Museum of the Royal College of Surgeons of Edinburgh which was presented by Sir Neil .Meuzies of Rannoch, Perthshire. Inquiries instituted by Struthers ( 1 >!'.."> j elicited the following facts. " The solid-hoofed pig has been well known and abundant on the '•-tates of Sir Neil Menzies at Rannoch for the last forty years. Most, if not all of them, were black. They were smaller than the ordinary swine, and seem to have had shorter ears. They liked the same food and pasture as the common swine, and showed no antipathy to herd with them. They were more easily fattened, though they did not attain so large a size as the ordinary swine ; their flesh was more sweet and tender, but some of the Highlanders had a prejudice against eating the flesh of pigs which did not "divide the hoof," unaware apparently that the Mosaic prohibition applied to all pigs. A male and female of the solid-hoofed kind was brought to Rannoch forty years ago, by the late Sir Neil Menzies, which was the commencement of the breed there ; but I have not been able to learn where they were brought from. Although they did not breed faster than the common kind, they multiplied rapidly, in consequence of being preserved, so that the flock increased to several hundred. "At first, care was taken to keep them separate, on purpose to make them breed with each other, but after they became numerous they herded promiscuously with the common swine. As might be expected in a promiscuous flock, some of the young pigs had solid and some cloven feet, but I am unable as yet to say whether any definite result was ascertained as to the effect of crossing; whether any experi- ments were tried as to crossing; or whether after the promiscuous herding, some of the pigs of the same brood presented cloven and some solid hoofs. "No pig was ever known there with some of its feet solid and some cloven ; nor, so far as is known, was there any instance of young born with cloven feet, when both parents were known to be solid- hoofed. The numbers diminished— for what cause is not apparent; so that last year there was only one or two — one of them a boar, \\liich died ; and now the solid-hoofed breed appears to be extinct in Rannoch." .Vs."). "/•'<»•<' foot. — The distal phalanges of the two greater toes are re- presented by one great ungual phalanx, resembling that of the Horse, CHAP. XIII.] SYNDACTYLISM : PIG. 389 586 but longer in proportion to its breadth. The middle phalanges are also represented by one bone in the lower two-thirds of their length, presenting separate upper ends for articulation with the proximal phalanges. The proximal phalanges are separate through their entire length. The whole foot above the middle phalanges presents the usual arrangement and proportions in the hog." Middle Phalanges. " There is no symphysis or mark indicating a line of coalescence of the two phalanges. The surface across the middle is somewhat irregularly filled up to nearly the level of each lateral part. Each half of the phalanx, as indicated by the notch between, the separate upper ends, has the full breadth of the proximal phalanx above it." Distal Phalanx. The middle part of this is raised above the lateral parts, and is partially separated from them by a fissure on each side, giving it an appearance as of the union of three bones. The end of the phalanx is notched like that of the horse ; it bears no trace of symphysis. ' ' The ungual phalanx of one of the lesser internal toes of the fore foot presents a bifurcation reaching half the length of the phalanx." See Fig. 121. I. II. FIG. 121. I. A right fore foot of a solid-hoofed Pig, No. 585, from in front. The ungual phalanx of the digit V is bifid [cp. Nos. 579 and 580]. (After STRUTHEBS.) II. Middle digits of foot of solid-hoofed Pig, No. 587. x, an extra ossification wedged in between the phalanges of III and IV. (After ELLIOTT COUES.) " Hind foot. In the hind foot only the distal phalanx is single — There is no trace of double origin to the bone." STRUTHERS, J., Edin- burgh New Phil. Journ., 1863, pp. 273-272, Jigs. A pair of solid-hoofed pigs received by Zoological Society of London from Cuba in 1876. The sow gave birth to a litter of six [the solid-hoofed boar being presumably the father]. The six young were three males and three females. The hoofs were solid like those of the parents in two males and one female : in the others the hoofs were cloven as in the normal pig. The feet of one of the solid-hoofed males of this litter were dissected, and it was found that " the proximal and second phalanges are separated as usual, whilst at the extreme distal ends of the ungual phalanges 390 M ERISTIC VARIATION. [PART I. these bones are completely fused together ; and, further, a third ossicle was developed at their proximal ends, where they are not completely united, between and above them " [cp. No. ;>"]. " It might have been imagined that the deformity was simply tin- result of an agglutination alnur tin middle line of the two completely-formed dibits ; but such is not the case, the nail-structure being absent in the interval, win ir it i- replaced by bone with a transverse cartilage below it. The nail is con- tinued straight across the middle line of the hoof, as in the horse." GAKKOD, A. H., I •. y.,,,,1. 8oe., 1877, p. 83. ")S~. J'uinestic pigs having the two central hoofs compounded into a single solid hoof have been kuown to occur several times in America. The two other toes remain di-tinct in the.-e cases. A breed of pigs having this character is said to have been ..li>he.l in Texas, which transmits this peculiarity in a definite way. In this breed the peculiarity is said to have been so firmly established that "no tendency to revert to the original and normal form is observable in these pigs." A cross between a solid-hoofed boar and an ordinary sow is said to produce a litter of which the majority shew the peculiarity of the male parent. " On the sole of the hoof, there is a broad, angular ele\ati rnal \vhi.-h is tin' un-ater, being in several cases a three- phahniLT'l ili.irit shapnl like an index (seeXo. 486). Nevertheless in the Fowl it is tin- i/tf- i-iKil which is the greater. The conditions in the following cases are not far removed from those named above. 503. Archibuteo lagopus ( K>iugh-legged Buzzard): specimen in good condition shot near Mum/, licinj.' otherwise normal. The toes of the left foot were placed as usual in a bird of pn-y, but on the outside2 of the hind toe was a much smaller accessary to.-. Tin- ry toe was ;ttta<-hed to the hind toe almost as far as tin- base of the claw of the latter. The claw of the accessory toe was half the size of that of the hind toe. In the left leg the muscles of the thigh and shank were less developed than usual. Toes of right foot abnormally arranged, being all directed forwards. The three normally anterior toes were on the inside of the series, and the toe which should properly be single and directed posteriorly was double and was directed anteriorly. These abnormally disposed toes were not functional. The right leg was much more developed than the left, and it seemed as if the bird had habitually stood on the rij_'ht leg. vox REICHENAU, W., Kosmos, 1880, vn. p. 318. 594. Oallinula chloropus (Moorhen): specimen killed in Norfolk in 1846. "Each of the hind toes possessed a second claw, which in the right foot merely springs from about the middle of the true toe, but in the left is attached to a second toe, which proceeds from the original one, about half-way from its junction with the tarsus." Extra toe and claw in each case attached outside- of the true hind toe. GUHNEY, J. 11.. and I'isiii.H, W. R., Zoologist, 11301. Guinea-hen having double hallux; of the two digits the external- was the longer. GEOFFROY ST HILAIKE, Ilixt. de Anom., i. p. 695. Division of digits II and III. 595. Anas querquedula, L. (Garganey Teal): wild specimen having the left foot abnormally formed. In it there was no toe occupying the place of the hallux, but the digits II and III [using the common nomenclature] were partially bifurcated. In the digit III, the extremity only was divide 1, but each part bore a separate nail and there was no web between these secondary dibits, which were somewhat irregular in form. The digit II divided in about its middle into two nearly similar digits. which were united by a web. The nails of these digits were hypertrophied. Euco- LANI, Mem. Ace. Bologna, S. iv. T. in. p. 804, Tnr. in. /ir/. 1. 596. (4) From the condition seen in (3) it might be supposed that duplicity of the hallux is the least possible step in the progress of the four-toed form towards the five-toed. It is only one of the least possi- ble steps. For in a few cases upon the base of the digit recognizable as the hallux, and standing in the normal place of the hallux, may be found a minute rudiment of a digit, sometimes with a nail, sometimes without. Between this and the well-formed fifth toe all conditions exist. There are thus, as usual in the numerical variations of Meristic Series, two least conditions, one being found in duplicity of a single member, the other taking the form of addition of a rudimentary member beyond the last member. 597. Passing now from the simpler conditions of the variation to the more complex, several distinct states may be mentioned. The diverg- ence from the normal may be greater either by the presence of two extra digits, or by change in the position of the extra digit or digits. 1 The only case to the contrary is that mentioned by WIXDLE, Jour. An, it. Phijs , ;xvi. p. 440, in which a three-phalanged digit stood on the radial side of a polk-x. This case has not been described. See pp. 3'Jt', uml 352. - In reading these records it should be remembered that owing to the backward direction of the hallux the apparent outside is morphologically inside, and probably this is meant in each case. CHAP, xiii.] DIGITS : BIRDS. 393 Two extra digits are said to be not uncommon in the Dorking but I have myself seen only one case. A foot of this kind is figured by COWPER ', and in it the appearance is as of an extra digit of three joints (? all phalanges) arising internally and proximally to the hallucal metatarsal. which already bears two small and sub-equal digits. In the case seen by myself there was one large internal digit with three phalanges sepa- rately articulating with the tarso-metatarsus, and the hallucal metatarsus bore a digit divided peripherally, bearing two nails related as images. Here therefore there was a double hallux, and internal to it a separate digit. 598. The evidence regarding extra digits in other positions, though small in amount, is of importance as a light on the morphology of these repeti- tions of digits. We have seen that the ordinary extra digit is, with the hallux, borne on the hallucal metatarsal. In one of HOWES' cases (I. c. figs. 2 and 3) this metatarsal instead of simply articulating with the shank of the tarso-metatarsal was continued up to articulate also with the tibio-tarsus. From this state the condition in which a separate digit (or digits) articulates with the tibio-tarsus only is not far removed. Of this condition I know no detailed account in the Dorking, though it is referred to by LEWIS WRIGHT -, but I have met with the following cases in other birds. 599. Aquila chrysaetos (Golden Eagle): having two extra toes borne by right metatarsus [left foot is not described]. The two extra toes attached to upper part of the back of the metatarsus. Each bears a full-sized claw which was curved backwards and upwards. One of the toes bore six scutella on the morphologically upper surface and four on the plantar surface. The other toe, which was more completely united to the metatarsus along its whole length, bore only a single scutellurn on the plantar surface. The rest of the foot was normal. JACKEL, A. J., Zool. Gart., xv. 1874, p. 441, /u/- 600. Pheasant: right foot bearing a thin and deformed digit articulating internally with the distal end of tibio-tarsus. Hallux normal. Left not seen. Specimen received from Mr W. B. TEOETMEIER. (301. Pheasant: each leg bears a large extra digit of irregular form attached to the middle of anterior surface of tibio-tarsus. The two legs almost exactly alike, but in one the digit is firmly and in the other loosely attached to tibio-tarsus. Specimen kindly sent by Mr TEGETMEIEE. 602. Buteo latissimus c? , having extra digit on right leg, the toe was well formed, with two phalanges, bearing perfectly formed claw, loosely attached internally to tibio-tarsus just above articulation with tarso-rnetatarsus. COALE, H. K., Auk, 1887, iv. p. 331, fig. [Cp. No. 593.] 603. Turkey having two imperfectly separate digits [? images] attached to process of tibio-tarsus. Two cases differing in degree: hallux normal. ERCOLANI, Mem. Ac. Bologna, Ser. iv. in. PL in. jigs. 2 and 3. 604. Pheasant: somewhat similar case, in which two such digits were similarly placed, but one was large and the other small. Ibid., fig, 4. 605. tarus leucopterus. For the following case I am indebted to Professor E. RIDGWAY, Curator of the Department of Birds, in the United States National 1 COWPER, J., Journ. Anat. Phys., xxm. p. 249. 2 "Perhaps the most difficult point in judging Dorkings, however, is to watch against malformations of the feet which have been fraudulently removed ; for the abnormal structure of the Dorking foot is very apt to run into still more abnor- mal forms, which disqualify otherwise fine birds for the show-pen. Birds are not unfrequently produced which possess three back toes, or have an extra toe high up the leg; or, in the case of the cock, with supernumerary spurs, which have been known to grow in every possible direction We have on two occasions seen prizes awarded to birds which shewed unquestionable traces of such amputation...." The Illustrated Book of Poultry, 1886, p. 331. 394 M ERISTIC VARIATION. [PART I. Mu-eum. The specimen is No. 76,221 in that collection, marked "Greenland, S.j.t. ls77; Loc. Kumlicn.' The accompanying figures were kindly made for me II C. FIG. 122. Larus lettcopterus, No. 605. A. Right foot seen from in front. B. The same from the internal side. C. Left foot from in front. From a drawing of specimen in U. S. Nat. Mus., kindly made for me by Prof. RIDGWAY'S direction. under Professor Ridgway's supervision and sufficiently shew its structure (Fig. 122). [It will be seen that tin1 hallux in A, the right foot, appears on the outside; this I conceive is due to partial rotation to shew the abnormal toes.] Besides these there are a few amorphous cases of extensive repetition of digits in birds. These facts shew how fruitless a work it is to try to find a statement \\liifli -hall includ'- all tin- cases. There is an almost unbroken series of conditions starting from either duplicity of the hallux, or from the presence of an internal rudimentary CHAP. XIIL] DIGITS : LIZARD. 395 digit, up to a condition somewhat resembling that of " double- hand " in Man. If the first digit behind the hallux is the prse- hallux, what are the digits on the tibio-tarsus ? If on the other hand the appearance of an extra digit internal to the supposed hallux is to be evidence that this " hallux " is the index, it may equally be argued that if two digits come up internal to the " hallux " then the supposed hallux is the medius, and so on inde- finitely. Again, though with HOWES and HILL we may accept the cases of double-hallux as evidence that an extra digit may appear by division of the hallux, which is indisputable, we must equally accept the cases Nos. 597 and 598 as evidence that extra digits may grow directly from the tarsus or even from the tibia, though the hallux remain single and unchanged. And between these two there is no line of distinction ; they pass into each other. Do not these things suggest that we are looking for an order that does not exist ? Is it not as if we should try to name the branches of a tree in their sequences ? Possibly Continuous numerical Variation in Digits: miscellaneous examples. Under this heading are placed in connexion a few cases of great interest. Whatever may be held as to the relation to the problem of Species of the phenomena hitherto described, it can scarcely be doubted that the following are instances of Variation which at least may be of the kind by which new forms are evolved. Great interest would attach to a determination whether the reduction of the digits in these cases is a continuous or a discon- tinuous process, but unfortunately these phenomena have been statistically studied by no one, and it is not possible to do more than make bare mention of the fact that such Variation is known to occur. There is no statistical evidence as to whether the indivi- duals in any one locality may not fall into groups, dimorphic or polymorphic in respect of the degree to which the digits are developed (compare the case of the Earwig, Introduction, p. 40). As an inquiry into the Continuity of Variation such an investiga- tion would be exceptionally valuable. In the case, for instance, of Cistudo mentioned below, such a statistical inquiry should surely not be hard to make. '606. Chalcides. This is a genus of Lizards belonging to the family Scincidas. In several genera of this family the limbs are reduced or absent, differences in this respect being frequent among species of the same genera. (See BOULENGER, Catalogue of Lizards in Brit. Mus., 1887, in. pp. 398, &c.) Mr BOULENGER kindly shewed me a number of Lizards of the genus Chalcides from the shores of the Mediterranean basin which strongly resemble each other in colour and general appearance, but which contained almost a complete series of conditions in respect 396 M ERISTIC VARIATION. [PART I. of the development of the limbs and digits, ranging from C. ocellatu* and • '. lin/i-iiii/ii' with pentadactyle limbs fairly developed, through C. lineatus (tridartyl.-) and C. tridactylus to C. gueniheri in which the limbs are minutf conical rudiments. Amongst the species of this serie- great individual variations occur. 007. Chalcides mionecton : normally four digits on each foot. A specimen in Brit. Mus. kindly shewn to me by Mr BOULENGER ha- OB > ;ieh hind tout five digits. 008. C. sepoides : Mr BOULEXGER tells me that the normal num- ber of digits on each toot is five, but that specimens occur having four digit- mi each t<>ot. 009. Cistudo. This genus includes the North American Box- t ui-tlcs as defined by AGASSIZ (X. Amer. Testudinata, (.'<>ntrib. to X. H. of U. S., I. p. 444). These animals are widely distributed to the E. of Rocky Mountains. On the hind feet of some of them there are three digits, while others have four. GRAY (P. Z. S., IM-'.t. p. 10) described two Mexican specimens which agreed in having three large claws on the hind foot with no appearance of a fourth claw, and even scarcely any rudiment of the fourth toe, which was then believed to be present in the other members of the genus. To this three-toed form he gave the generic name Onychotria, but in Hrlt. Mns. Cat., 1855, he gave up this name as a generic distinction, describing the Mexican form as Cistudo mexi- cana, giving three toes on the hind foot as a definite character. AGASSI/ in is"; 7 (I.e.) divided Cistudo into four species, giving to the Mexican form the name C. triniif/td.^, and he states that the western and south-western type is remarkable for having almost universally only three toes on the hind feet. The toe which is missing is the outer toe and " it fades away so gradually that the genus Onychotria cannot stand." The form found from New Kngland to the Carolinas is called by Agassiz C.virginea = C. Caro- lina, and he states that he received a three-toed specimen from N. Carolina which agreed in all other respects with those from New England. PUTNAM (Proc. Boston, N. H. £,x. p. 65) stated that the three- toed form found in the South is only a variety of C. virainea, and that he had seen two specimens which had three toes on one hind foot and four on the other. 010. Rissa1. The commoD Kittiwake (R. tridactyla) as found in 1 In illustration of the possible bearing of these facts on the problem of Species reference in:iy In- made to the fact that among birds there are several examples of >]'<•<•!< s differing from their near allies by reason of the absence of the hallux. Speaking of this feature in Jocamaralcyon triilni-ti/hi, SCLATER observes: "In the pn -rnt bird we meet with :iin>tlnT example of the same character [viz. a monotypie form], and with one, perhaps more isolated in its structure than any of those above mentioned, Judimtir/<»i being notably different from all other members of the (ialbnlidne in the absence of the hallux. At the same time we must be careful not to put too high a value upon this at first sight seemingly important CHAP. xin. J DIGITS I K1TTIWAKE, ELEPHANT, &C. 397 this country and in N. Atlantic has no hallux, but only a small knob without a nail in its place. No variation in respect of this digit is recorded1. Birds not distinguishable from the Atlantic Kittiwake occur in the North Pacific, but amongst these Pacific specimens birds are found occasionally as rarities having a hallux "as large as it is in any species of Larus" (CoUES, p. 64-6). This feature also exhibits gradations. Specimens are described by COUES and also by SAUNDEHS having the hallux including the nail "2 in. long, with a perfect claw. These are given as extreme examples. SAUNDERS remarks that this hallux is small for the size of the bird, stating that another species of similar size, L. canus, had a hallux "5 in. long. Of these specimens of R. tridac- tyla from Alaska one had the nail of the hallux developed, though less so than in the extreme case. Saunders states further that the variation is not always equal in extent on both feet of the same individual : he considers that the extreme form is probably rare and local. COUES, E., Birds of North- West (U. S. Geol. Surv. Terr.), 1874, p. 646; and SAUNDERS, HOWARD, P. Z. &, 1878, pp. 162—64. 611. Rissa brevirostris : a species from the N. Pacific distinct from R. tridactyla shews a similar variation in the development of the hallux, though in a smaller degree. A specimen has no claw on right hind toe and only minute speck on left ; another has no hind nail whatever ; another has small black nails of unequal size on the two hind toes. SAUNDERS, H., /. c., p. 165. (J12. Erinaceus. E. europceus has a large hallux, while in E. diadema- tus it is only 4 mm. in length, and in E. albiventris it is normally absent in adults. An adult female E. albiventris had a minute hallux in the left hind foot, represented by a claw and ligauientous structures, the phalanges being absent 2. In a female a few months old a minute hallux with usual number of phalanges was present on both sides. The presence or absence of a hallux has often been considered a suffi- cient ground for the formation of a new s;enus. DOBSON, G. E., P. Z. H., 1884, p. 402. 613. Elephas. In both the Indian and African elephant the number of digits represented by bones is five, both in the fore and the hind foot. The number of hoofs differs in the two species. The African elephant has normally four on the fore foot and three character, as the same feature occurs as is well known, not only in certain genera of other allied families (such as Alcedinidag and Picidas), but even in a genus of Oscines (Cholornis), in which group the foot-structure is generally of a very uniform character." SCLATEB, P. L., Monograph of the Jacamars and Puff-Birds, 1879 — 82, p. 50. 1 Mr A. H. EVANS has called my attention to a recent paper by CLARKE (Ibis, 1892, p. 442) giving an account of a minute rudiment of the hallux in embryos of E. tridactyla from Scotland. 2 Compare facts as to the loss of the hallux in Muugooses (Herpestidse), THOMAS, 0., P. Z. S., 1882, p. 61. 398 .MKKI.STIC VARIATION. [PART i. on the hind foot, and I am not aware that variations from this number have been seen. In the Indian elephant there is variation, and though I cannot give any complete account of the matter the following particulars may be <>f interest. According to Bun n\ the 'Elephant' has generally five hoofs on both t<>re and hind feet, but sometimes there are four, or even three1. He gives a particular case of an Indian elephant with four hoofs on each foot, both fore and hind feet. TACMAUD-, to whom Buffon refers, was desired by the French Academy to notice on his journey in Siam, whether elephants had hoofs, and he states that all that he saw had five on each foot. I'o^ibly tlu- tour-toed variety does not occur in Siam. I am indebted t<» Mr \V. T. BLANFORD for the information that the natives of India attach importance to the number of hoofs, and also for the following references. HODGSON3 gives a sketch of elephants with four hoofs on each foot, marked " Elephas Indie UK, var. isodactylus nob., Hab. the Saul forest," together with the following note : " The natives of Nepal distinguish between the breeds with four toes [sic] on all the feet and those with five to four toes." SANDERSON* speaking of this says that some elephants have but sixteen hoofs, the usual number being five on each fore foot and four on each hind foot ; and that in the native opinion 'a less number than eighteen hoofs in all disqualifies the best animals.' FousYTH5 also alludes to the same fact. Taken together these accounts seem to shew that five on the fore foot and four on the hind foot is the most usual number, but that both the number on the fore foot may diminish to four and that on the hind foot may increase to five. Several text-books mention the subject but I know no statistics regarding it. In view of the different number characteristic of the African elephant this variation has some interest. In particular it would be of'use to know whether the variation exhibits Discontinuity, and also to what extent it is symmetrical. INHERITANCE OF DIGITAL VARIATION. 614. ItecuiTciico of digital Variation in strains or families is frequent, but though many observations on the subject have been made no guiding principle has been recognized. To the general statement that digital Variation, whether taking the form of polyclactylisni or other- 1 BUKKHN, Hist. Nat., xxviii. p. 201. The mention of three hoofs must I think refer to the African species, which Buffoii does not distinguish from the Indian. In the Camlni.li/i' Museum (Catal. (){M) is an old preparation of the skin of an elephant's foot having three hoofs. This is declared by the Catalogue to be the fore foot of an Indian elephant. Perhaps this is a mistake. • TACHABD, Vmj. de Siam, 1(187, p. 2:«. 3 HODGSON, B. H., Mammals of India, MS. in Zool. Soc. Library. 4 SANDERSON, G. 1'., }\'il ) Duplicity of limbs. (6) Homceotic Variation in terminal digits when a new member is added beyond them. (7) The absence of a strict distinction between duplicity of a given digit and other forms of addition to the Series. (8) Discontinuity in digital Variation. (!)) Relation of the facts of digital Variation to the problem of Species. (1) Comparative frequency of digital Variation in different animals. In reviewing much of the evidence of Variation and especially in the evidence concerning the variations of teeth it has been seen that the frequency of these variations is immensely greater in some classes or species than in others. This is remarkably clear in the case of the variations of digits. Compare for instance the great frequency of polydactylism in the Horse with the complete absence of recorded cases in the Ass. It is true that the latter is the rarer animal, but it might still be expected that some record would have liecn ioimd if the variation were as frequent in the Ass as in the Horse. Again polydactyle Cats are certainly not very rare and specimens are in several collections having been acquired at many CHAP, xiv.] FREQUENCY OF DIGITAL VARIATION. 401 dates. On the other hand digital Variation in the Dog seems to be confined to the formation of a hallux in the hind foot, and to duplicity of hallux and pollex J. Similarly though digital Varia- tion is so common in the Pig it is very rare in the Sheep, only one or two clear cases being so far known to me. Note again that polydactylism is common in the Fowl and has been often seen in the Pheasant, while in other birds it is very rare. Some one will of course remark that the Fowl is a domesticated bird and the Pheasant is partially so ; but pigeons, ducks - and geese3 are as much domesticated and in them digital Variation does not seem to be known. The cases in Apes deserve mention in connexion with this matter. One case of syndactylism was quoted in Pithecia No. 525, a case of polydactylism in Macacus No. 50-i, in Orang No. 511, and in Hylobates No. 508, and a case of ectrodactylism in Macacus No. 526. These five cases surely suggest that Meristic Variation is something more than a mere result of high feeding or of " unnatural " conditions. It is not a little strange that among Apes Meristic Variation should be frequently met with in so many systems of organs. (2) Particular forms of digital Variation proper to particular animals. Of more significance than the frequency with which digital Variation recurs in certain animals is the frequency with which in particular animals it approaches to particular forms, or to particu- lar conditions in a series or progression of forms. This has been seen in the Cat, Man, Horse, Pig, Ox, &c. In each of these the mode of occurrence of Variation has in it something distinctive, something that marks the phenomenon as in some way different from the similar phenomena in other forms. Taking for instance the curious series of cases found in the human manus, ranging 1 Both these variations are of course very common and may be seen in any walk in the streets. The hallux is very frequently present in the Dachshund and is common in Collies, Mastiffs and other large breeds. In the Mastiff dew-claws (hallux) are not a disqualification (SHAW, Book of the Dog}. In the St Bernard the hallux is very often double, perhaps more often than not. This is largely due to the fact that the monks of the Hospice considered the presence of the dew-claw of the utmost importance and preferred it double if possible (SHAW, I.e.). The same writer states that ' the more fully the dew-claws are developed the more the feet are out-turned.' This fact suggests that there may be a change of Symmetry like that in the Cat, but I have no observations on the point. I have several times seen simultaneous duplicity of hallux and of pollex in the same individual (Dachshund, &c.). Other digital variations must be rare in dogs as there are hardly any recorded cases. A problematical case of ectrodactylism is given by BACM, Deut. Ztschr. f. Thicrm., xv. 1889, p. 709, Jig. [q. r.]. I once saw a mongrel Fox-terrier with no pollex on either inarms, but I was not satisfied that they had not been cut off, though there was no suggestion of this. - For an interesting account of a Duck with the webs of the toes almost wholly absent see MOBIUS, Zool. Gart., xvm. 1877, p. 223. Another case of the same kind MORRIS, F. 0., Zool., iv. p. 1214. 3 Pygomelian geese often recorded ; e. g. CLELAND, Proc. Phil. Soc. Glasg., xvm. 1886, p. 193, fig- 5 WYUAN, Proc. Bost. V. H. S., vm. 1861, p. 256. B. 26 402 M ERISTIC VARIATION. [PART I. from tin- addition of a phalanx t" the polh-x up to the condition ol' X,,,,. 4s.s ,,r 4!»o, ;uid comparing them with the essentially similar series of cuses in tin- hind foot of the Cat, there is this remarkable difference: that though both progressions lead up to a similar kind of Symmetry in the series of digits, in the human maims an approach is m;ide to a system of Symmetry whose axis lies internal to the index, while in the Cat's feet the axis lies external to the index (see Section (4)). The series of forms in the manus of the Cat is still more peculiar and is not like any case of poly- dactylism in other animals. (.'!) ^i/ni inetfij in digital Variation. From the evidence it will have been seen that digital Varia- tion in most of its manifestations may be similar and simultaneous in the limbs of the two sides of the body, though not rarely it affects the limb of one side only ; and still more frequently the form which it assumes on one side differs in degree from that found on the other side. Considerable difference in kind between Varia- tion on the right side and on the left is much rarer. Almost the same statement may be made respecting simul- taneity of Variation between the manus and the pes, though in the pes the manifestation of Variation is rarely identical with that in the manus of the same individual. Some variations, as for instance duplicity of pollex and hallux, or extra digit external to minimus, are not rarely found simultaneously in both pes and manus, but there are many cases in which no such agreement is found. The frequency of this simultaneous variation in the case of syndactylism in the Pig may be specially noticed. Certain variations in certain animals seem to be almost or quite restricted either to hind limb or to fore limb. The form taken on by the pes of the Cat upon increase in number of digits is distinct from that assumed by the manus. The development of the digit II in the Horse is much more common in the manus. The extra digit (or pair of digits) in the Pig is so far as I know Beep only in the rnanus. On the contrary the three-toed state in the Ox is found in the manus and also in the pes. Generally speaking, Meristic Variation is much commoner in fore limbs than in hind limbs. One fact here calls for special notice. Though general statements are hazardous, we are perhaps justified in affirming the principle that large Meristic Variation, involving great departure from the normal, very rarely affects exclusively one side of a bilaterally sym- metrical body. In cases of variation in vertebrae, in spinal nerves, in teeth, in the oviducts of Astacus, and many more, it is seen that on the occurrence of great variation the change is seldom restricted wholly to one side of the body, though the condition reached by the two sides is frequently of differing degree. Now in CHAP, xiv.] SYMMETRY IN DIGITAL VARIATION. 403 the extreme forms of double-hand as seen in Man there is a curious exception to this principle. For in nearly all the extreme cases the abnormality was on one side only, the' other being normal. This was seen in Nos. 492 — 500 and 501 — 503, and also in Macacus No. 504. The case No. 500 is probably an exception to this general statement. As to the significance of this absence of correspond- ence between the right and left sides in extreme cases of digital Variation I can make no conjecture. It has seemed that perhaps in such cases the absence of symmetry between the two sides of the body may be connected with the fact that in these extreme forms of double-hand an approach is made to a bilateral symmetry completed within the series of digits. But against this suggestion must be noticed first the fact that a similar bilateral symmetry is established in the six-toed pes of the Cat (Condition IV of the pes, p. 316), but the variation is nevertheless found on both sides of the body ; and secondly the case of double-foot in the lamb (No. 566), though for reasons stated this latter case may perhaps be open to question. (4) The manus and pes as systems of Minor Symmetry. This is a subject to which it is most difficult to give adequate treatment. Several of the phenomena have as yet been studied in far too small a range of cases to justify sound generalization, and with further knowledge the suggestions arising from the facts now before us may not improbably be found to have been misleading wholly or in part. Besides this there is a serious difficulty in finding modes of expressing with clearness even those principles of form which seem to underlie the phenomena. This difficulty pro- ceeds first from the vague and contradictory character of the indications, and next from the total absence of a terminology by which diversities of symmetry and the form-relations of parts may be expressed. Nevertheless it has seemed best to abstain from the introduction of new terms until the ideas to be expressed shall have been more clearly apprehended. It need scarcely be said that the remarks which follow merely represent an attempt to state some of the lines of inquiry along which the facts point. On p. 88 mention was made of the fact that in a Bilateral Symmetry the organs which occur as a pair, one on the right and the other on the left, in so far as they are symmetrical are optical images of each other, this relation of images being what is implied by the statement that these organs are bilaterally symmetrical. The hands and feet of vertebrates are organs of this kind, the right hand and the right foot being approximately images of the left hand and foot respectively. But beyond their symmetrical relations to each other in the Major Symmetry of the whole body each manus and each pes may exhibit the condition of a Minor Symmetry within the limits of its own series of digits. Not only may each limb geometrically balance the limb of the other side 26—2 4U4 MERlSTlr VAIIIATKiX. [PART I. luit its own external parts may more or less balance its own inter- nal parts. This relation diff.-is greatly in different animals, the Minor Symmetry b.-ing nearly complete in the Artiodactyles and in ih. Horse, hut much less so in the human maims and pes, &c. 'I'll.- matter now for consideration is the influence or consequences of ill-- existence of this symmetry in the Meristic Variation of digits ; and conversely the light which the observed phenomena of Variation throw on the nature of that relation of symmetry. It will be seen that in some points the two halves of a bilaterally symmetrical limb behave just as do the two halves of the bilaterally symmetrical trunk, while in other points their manner of Varia- tion is different. Thus, the digit III of the Horse may divide into two halves related to each other as images, bearing hoofs flattened on their ntljncent edges: that is to say, the two resulting parts are formed ii-.t as copies of the undivided digit, but as halves of it, a condition m-vei seen in division occurring anywhere but in the middle line of a bilateral Symmetry. In the syndactyle teet of the Pig or the Ox the converse pheno- menon exists; 'for the digits III and IV, which normally stand a- images of each other, are here wholly or in part compounded to form a digit to which the uncompounded digits are related as halves. Thus far the connexion between the geometrical relations of the digits and the modes of their Variation is clear and simple, and does not differ from that maintained in the Major Symmetry. But in proceeding further there is difficulty. If, for instance, the manus or pes of a Horse possesses within itself the properties of a bilateral Symmetry, then the splint-bone II may be supposed to be in symmetry with the similar bone IV. It would then-fore be expected that on the occasion of the develop- ment of II to be a full digit, the splint-bone IV would at least not unfrequeiitlv develop, thus exhibiting that similarity and simul- taneity of Variation which we have learnt to expect from parts in -vmmetry with each other. Nevertheless such an occurrence seems to be extremely rare. Then arises a further question: if the digit II develop simultaneously, say in the two fore feet, would the mechanical conditions of which Symmetry is the outward expression be satisfied without a corresponding change in the digit IV of the fore feet? Is the frequent absence of symmetry in the variation <>f the halves of the Minor Symmetry in any way connected with the possibility that th<- two Minor Symmetries together may be maintaining their relations to each other as pails of a Major Symmetry ' ( )f course as to this we know nothing, but the existence of this double relation should be remembered. In several other phenomena of digital Variation the influence "t Symmetry is to be suspected. Reference may first be made to the -..-ries of changes seen in the Cat's hind foot in correlation with CHAP, xiv.] SYMMETRY IN DIGITAL VARIATION. 405 numerical change. The bones of this pes do not normally exhibit any very clear bilateral symmetry l. Yet on the appearance of new digits the foot is reconstituted and its parts are, to use a metaphor, ' deposited ' in a system of bilateral symmetry '2 whose completeness is proportional to the degree of development of the new digits. What may be the meaning of this extraordinary fact one cannot yet guess. The fancy is constantly presented to the mind that there is in the normal foot a condition of strain, that the balance between the right foot and the left is a condition of imperfect stability, and that upon the introduction of some unknown disturbance this balance is upset and each foot settles down as a separate system. But I see no way of testing this fancy and no way of following it further. Still more complex are the facts seen in the human hand. There is here first the fairly complete series of conditions ranging from the normal, through the three-phalanged thumb up to the several Conditions in which extra digits upon the internal side of the limb seem to have sprung up to balance the four normal digits ; but on the contrary there is the exceptional case of the Macacque's foot (No. 504) where the extra parts are, as I believe, external. (Besides these there are the wholly distinct series of "double- hands," which will be spoken of below.) The former cases taken alone would certainly suggest that there is an imperfect balance or system of symmetry subsisting between the thumb and the four fingers of the normal manus, but to this suggestion there are numerous difficulties which need hardly be detailed in this preliminary glance at the phenomena. With more confidence it can be maintained that the pollex and perhaps the hallux of Man is in itself a Minor bilateral Sym- metry, apart from the four fingers, for it may divide into equal parts related as images. The same is true of the hallux of the Dorking (p. 390), and probably of the extra digit or digits some- times arising from the tibio-tarsus of the Turkey for example (see No. 603). Besides this the facts of the frequent syndactylism between the digits III and IV of the human manus, taken in connexion with the phenomena of the Pig and Ox, suggest that the four fingers may have among themselves again a relation of the nature of Symmetry. 1 In the normal pes, though all the claws are retracted to the outside of the second phalanges, yet the claws of digits III and IV rest close together, that of III being external to its pad, while that of IV is internal to it* pail, forming, so far, a relation of images between these two digits. In the polydactyle foot it is a remark- able feature that, though the bones are in symmetry about an axis passing between II and III, the relation of the claws of III and IV to their pads remains almost normal, still giving a superficial appearance of symmetry between these two digits. (In the polydactyle pes the pads are mostly rather narrower.) - It will be remembered that this symmetry appears not merely in the lengths of the several digits but in the manner of retraction of the claws and in the corre- sponding form of the second phalanges, three digits being fashioned (in the case of six perfect digits) as right digits and three as lefts. 40G MKKISTIC VARIATION. [PARTI. It has been mentioned that there is some evidence to shew that in the human ]»- it is tin- digits II and III which are most frequently syndactvlf, .-ven up to the point of being (in No. ">±l) a|»]iaivntly ivpiv-eutrd by a single digit, and in this connexion it will be remembered that in the polydactyle pes of the Cat it is also between these digits that the new axis of Symmetry falls. Th.'Sf >r;mty allusions to the possible influences which Sym- iiiftrv niav exercise over Meristic Variation of digits will suffice to indicate the nature of the problem to those who may care to f\aniiiM' it. It is with hesitation that so indefinite a matter is >|iok,-n "t at all. Nevertheless it is likely that if any one can find a way of interpreting these indications the result will be con- siderable. (")) Duplicity of limbs. In the evidence as to the digits of Man facts were given iv>pecting the state known as Double-hand, and some similar '•asfS were referred to in Artiodactyles. In these instances the digital series, and to some extent the limb, is in its new shape made up of the external parts of a pair of limbs compounded together in such a way that there is a partial duplicity of the limb, the two halves being more or less exactly complementary to each other and related as images1. This phenomenon in its perfect form must be essentially distinct from the other cases of increase in number of digits; for in the double-hands the limb developes an altogether new bilateral symmetry (see especially No. 4-92). Between cases of duplicity in limbs and the other forms of polydactylism confusion can only arise when the nature of the parts is ambiguous. As has been stated, in all certain cases of double-limbs the two are compounded by their internal or pra-axial borders, but the case of Macacque No. 50-i was peculiar in the fact that there \\as in it a presumption that the two limbs were not a pair but in Succession. In Arthropoda there are a very few cases of true duplicity in appendages comparable with the double-hands. These cases will be dealt with hereafter. The fact that a structure naturally hemi-symmetrical, needing the limb of the other side to balance it, may on occasion develop as a complete symmetry is most ]>;u,i lexical, but no other interpretation <>f the facts seems possible. The phenome- non is of course comparable with that observed by DRIESCH in the eggs of J-lchinus, where each half-ovum developed into a whole larva on being separated from the other half-ovum (see p. 3"», \'nt<'). It will be shewn that in almost every case in which such un ;i|p|ir:ii.-in'_y.s/r. Ceramb., 1866, p. 284) says the number varies with the species and individually. A male in Dr Sharp's col- lection has 45 joints in each antenna and a female has 31 in each. G19. Lysiphlebus is a Braconid (Hymenoptera) parasite on Aphides. From a colony of Aphides on a bush of Baccharis viminalis 121 speci- men^ of Lysipklebus were reared : of these 57 were males and 64 were females. The number of joints in the antennae varied as follows : Males. 1 4 joints 18 specimens. 15 '. 37 16 1 15 on one side and 1 6 on the other 1 Females. 12 7 13 54 14 1 12 . on one side and 13 on the other 2 In those having a different number of joints in the right and left antenna?, the last joint of the antenna which contained the fewest joints was longer than the last joint of the antenna with the larger number of joints. Nevertheless this relation did not hold throughout : for example in the case of the male with 16 joints, the last joint was of the same length proportionally as that of the males with only 14 joints. As a rule the specimens with fewer antennary joints are smaller than the others. Variations were also seen in coloration, in the proportional length of the tarsi, and in the presence or absence of the transverse cubital nervure, but none of the characters divided the sample consistently, it was therefore inferred that the individuals belonged to one species of Lysiphlebus, (L.citraphis, Ashm.) From another colony of Aphides living on a rose-bush 58 specimens of Lysiphlebus were bred, and no characters were found by which these could be separated from those bred from the Aphis of Baccharis. In the case of the second sample the joints of antennas were as follows : Males. 1 4 joints 10 specimens. 15 19 14 on one side and 15 on the other 2 Females. 12 2 13 . 25 . CHAP. XV.] ANTENNAE : BEETLE. 413 The number of antennary joints is employed as a specific character in the classification of Lysiphlebus by ASHMEAD, Proc. U. S. Nat. Mus., 1888, p. 664). COQUILLET, D. W., Insect Life, 1891, Vol. in. p. 313. *620. Donacia bidens. (Phyt.) A female found by Dr 1). Sharp at Quy Fen in company with many normal specimens had in each antenna eight joints instead of eleven as in the normal. As shewn in the figure (Fig. 123) the antennae of the two sides were exactly FIG. 123. Donacia bidens ? . I. Normal antennas, eleven joints in each. II. Abnormal specimen, having eight joints in each antenna. No. 620. alike, and the insect was normal in all other respects. I am much obliged to Dr Sharp for shewing me this specimen. Forficula auricularia, the common Earwig. In the various species of Forficula the number of joints in the antennas differs, the numbers 11, 12, 13 and 14 being all found as normals in different species1. As regards F. auricularia most authors give 14 as the number of antennary joints. SERVILLE2 gives 13 or 14. A number of adult earwigs examined by myself with a view to this question shewed that there is great diversity in regard to the number of antennary joints. The whole matter needs much fuller investigation but the preliminary results are interesting. The commonest number is 14, which occurs in perhaps 70— 80 per cent. The next commonest is 13, which was seen in a considerable number, while 12, and even 11 occur in exceptional cases. Different numbers were frequently found on the two sides. 1 BRUNNER VON WATTENWTL, Prodr. eur. Orth., 1882. The number in F. auri- cularia is given by Brunner as 15, but I have never seen this number. It is no doubt an accidental error. The same mistake is repeated by SHAW, E., Ent. Mo. Mini., 1888—89, xxv. p. 358. - Suites a Buffon: Orthop., 1839. 414 MERISTIC VARIATION. [PART i. A- is ii-ual with appendages the whole length of the antenrue diffnvd a good <1< -al imlfpnidmtly of the number of joints. 621. On comparing antmn:L' with different numbers it seemed that tli.- pi-oporiional length of the first two joints was nearly the same in all, but in the third joint there was great difference, as shu\vn in Fig. 124. The left antenna in Fig. 124, I may be taken to be the normal form with 14 joints. In it both 3rd and 1-th joints an- small. The right antenna of the same specimen has 'l 3 joints and in most of the 13-jointed antenna1 the arrange- 18 w Fin. 124. Various forms of antenna; of adult Earwigs (Forficula auricularia), all from one garden and taken at one time. I. Specimen having the left antenna normally 14-jointed, and the right 13-jointed. No. (VJ1. II. I'.nlh antennae 13-joiuted. No. 622. III. Both antenna' 1'2-joinU'd. No. I'rJii. IV. Eight antenna normally 14-jointed ; left antenna 12-joiuted. No. 624. Note that the rights and lefts are arranged as marked by letters r and /. The antenna; were so fixed for drawing in order to bring them side by side after the bend from the first joint. This figure was drawn with the camera lucida by Mr Edwin Wilson. ment was much as shewn in this figure. As shewn, the 3rd joint especially is hen- ratlin- longer than in the 14-jointed form, but srvn-al of the peripheral joints are also a little longer, so that CHAP, xv.] ANTENNAE: EARWIGS. 415 though the 13-jointed antenna is not as a whole so long as the 14-jointed antenna of the same individual it is longer than its first 13 joints. G22. But besides the common 13-jointed form occasional specimens are as shewn in Fig. 124, II. Here both antennas are 13-jointed, the 3rd joint being much longer, and the 4th a little longer than the corresponding joints of the normal with 14 joints. Two specimens were seen having this structure in both antennae, thus presenting a difference which, did it occur in a form known from but few specimens, would assuredly be held to be of classificatory importance. *G23. In another case (Fig. 124, III) each antenna contained only 12 joints, the 3rd, 4th and 5th being all of greater length than in the normal. 624. Fig. 124, IV shews a case in which there was on the right side a normally 14-jointed antenna but that of the left side was 12-jointed, agreeing nearly with those in Fig. 124, III. In considering these facts the possibility that some or all the abnormal states may result from or be connected with regenera- tion must be remembered ; but from the frequency of the varia- tions, from their diversity, and from the fact that symmetrically varying individuals are not rare, it is on the whole unlikely that all can owe their origin to regeneration. It will besides be noticed that it is in the proximal joints that the greatest changes are seen, and it must surely be rarely that these are lost by mutila- tion. The difficulty — indeed the futility — of attempting to adjust a scheme of individuality among such series of segments must here be apparent to all. We can see the change in number and the change in proportions, and we are doubtless entitled to affirm that the differences between these several kinds of antennae are reached by changes occurring chiefly in the neighbourhood of the 3rd and 4th joints ; but not only is there no proof that the changes are restricted to these joints, but the appearances suggest that there are correlated changes in many, and perhaps in all of the joints. TARSUS OF BLATTA:. *625. Among the families of the class Orthoptera the number of tarsal joints differ. In Forficularia the number of tarsal joints 1 In connexion with variation in the number of joints in legs I may mention the case of Stenopterus rufus ? (Longicorn) described by GADEAU DE KERVILLE as having each tibia divided into two parts by an articulation (Le Naturaliste, 1889, s. 2, xi. p. 9, Jig.)- but upon examination it proved that each tibia had been sharply bent at each of these points, and there was no real articulation. I have to thank M. Gadeau de Kerville for lending me this insect together with many interesting specimens of which mention will be made hereafter. U6 MERISTIC VARIATION. [PART i. - •'!. in Blattodea, Mantode.-i and Phasmodea 5, in Acridiodea 3, in Locust' xli-a 4, in Grvllmlcn 2 «r 31. The fa.-t, originally observed by BRISOUT DE BARXEVILLE", that in various sp.-ei.-s of Blattid» the number of tarsal joints may \arv from /nr to /',,///• is therefore of considerable importance in a consideration of th.- manner in which these several forms ha\r been evolved from .-ach other. The species in which BRISOUT oh-crved tlii> variation \\.-iv tdi in number and belonged to four genera of Blatt ida-. At mv -ii'_ru' -tion Mr H. H. BRiNDLEY has made an extended investigation of the matter and a preliminary account of the results arrived at was ^ivun in the Introduction (p. 63). It was found that of Blatta americana 25°/0 of adults have one or n I-'K,. 11~>. I. Normal five-jointed left tarsus of Blatta americana. II. Eight tarsus of the same having four joints. more tarsi 4-jointer that any one joint of the 4-jointed form corn-pond^ with any two joints of the 5-jointed; for if the numbers are treated with a \ iew to either of these hypotheses it will be found iinp.i»ible ;,, make them agree with either. It appears rather that the four joints of tin- I jointed form collectively represent the five joints of the normal. The other question upon which the statistics bear has already been .stated in the Introduction. In any appendage the ratio of the length of eachjoinl to the whole length of the appendage varies; but if it varies about one normal form it will be possible to find a normal or in. -an value for this ratio, and the frequency with which other values of the same ratio occur will be inversely proportional to the degree in which they depart, from the normal value. The curve representing the frequency of occurrence of these values will then be a normal Curve of Error. The form of this curve will indicate the constancy with which the normal proportions of the tarsal joints are approached. If the proportional lengths of the tarsal joints vary little then the curve representing the frequency of their departure from their normal value will be a steep curve, but if these proportions are very variable and have little must aney, then the curve will be natter. The probable error will thus in the case of each value be a measure of the constancy with which it conforms to its normal proportions. As explained in the Introduction, upon the hypothesis that all constancy of form is due to the control of Natural Selection, it would be anticipated that the 1 jointed tarsus, if a variation, would be very much less constant in the proportions of its joints than the 5-jointed tarsus. It was however found that as a matter of fact the proportions of the joints of the I jointed form were very nearly as constantly conformed to as those of the joints of the normal tarsus. The evidence of this is as follows. The total length of the 5-jointed tarsus being L, and tl, t-, A:c, being the lengths of its several joints, I, T1, T3, &c. representing tl T1 the same measurements in the 4-jointed form, the ratios — &c., — &c., represent Lt I the proportional length of the several joints in each case. The values of these ratios \\ere thru arranged in ascending order in their own series and the measures occupying tin positions of the first, second, and third quarterly divisions noted1 (indicated hen after hy v1. -1/ and V3 respectively). The probable error or fi j'i variation of each ratio — , — , Are. will then bo represented by the expression 1 j t n.i _ o\ . Inasmuch as the joints are of different lengths, to compare the results a each must he oonvi rte.l into percentages of the moan length of the joint concerned. These results are set forth in the accompanying tables. the dift'ei.-nt pairs of legs may -.em to point to the existence of some control other than the Dimple . -l,ane,s of fortuitous injury. As regards the latter point it is not unlikely thai ill. legs of the third pair, being longer and less protected, may lie more often mutilate. 1 than the otln 1 As described by (i.u.iox, !•'., I'roc. Hoy. Soc., 1888-9, XLV. p. 137. CHAP. XV.] Five-jointed tarsus. TARSUS OF Blatta, 419 Ql t1 L t2 L t3 I t4 L t5 L •521 •152 •095 •046 •162 M •529 •156 •099 •049 •168 Q4 Mean error •535 •160 •101 •051 •174 as percentage of H 1-3 2-6 3-0 5-0 3-6 Four-jointed tarsus. Ti T2 T3 J4 Q1 T I I I •565 •178 •060 •172 M •575 •183 •064 •177 Q3 Mean error •584 •189 •068 •183 as percentage of M 1-6 3-0 6-2 3-1 It is thus seen that the percentage variation of the ratios of the several joints to the total length is very little greater in the case of the abnormal than it is in the normal tarsus. As regards the longer joints these results are probably a trustworthy indication of the amount of Variation, but in the case of the shorter joints the errors of observation must no doubt be so great in proportion to the smallness of the lengths to be measured that no reliance should be placed on results obtained from them. As evidence that in spite of the small number of instances examined the general result is satisfactory it may be mentioned that the mean Q3 + Q1 obtained as the value of -^~ agrees fairly well in each case both with the value of M, the middlemost value, and also with the arith- metic mean given above. It may therefore be taken that the curve is regular and the series nearly uniform. The correlations between the lengths of the joints and that of the whole tarsus have also been, examined by Mr Brindley using the method proposed by GALTON I.e., the results closely agreeing with those obtained by the ordinary method here described1. If the 4-jointed tarsus be a congenital variation the sig- nificance of the fact that the abnormality is in its constancy to its normal hardly less true than the type-form must be apparent 1 It is hoped that a fuller account of this subject will be given separately. I am indebted to Mr F. Galton for advice kindly given when this investigation was begun, and Mr Alfred Barker has most obligingly given much help in connexion with it. 27—2 420 M ERISTIC VARIATION. OAKT i. to all. Yet eveE if, as now seems likely, the 4-jointed tarsus I..- not a congenital variation but is rather a result of regenera- tion, there i-; .-till difficulty in reconciling the now established t'ai-t that tli'' till-in of the regenerated part, though different from tin- normal, i> >carce]y less constant, with any hypothesis that th«- constancy i.t' tin- normal is dependent upon Selection. If it were true that the smallness of the mean variation of the f> ratio , which is ultimately the measure of the constancy and I . truth to type of the 5 -jointed tarsus, is really due to Selection and t«>i hi- comparative prosperity of specimens whose tarsal pro- portions departed little from the normal, to what may we ascribe T1 the smallness of the mean variation of the ratio -j- ? Are we bo suppose that the accuracy of the proportions of the regenerated tarsus is due to the Natural Selection of individuals which in tin ir tarsi conformed to this one pattern ? \\V an- told that the struggle for existence determines every detail of sculpture or proportions with such precision that in- dividuals which fall short in the least respect are at a disad- vantage so great as to be capable of being felt in the struggle, and so decided as to lead to definite and sensible effects in Evolu- tion. It' this is so, should we not expect that individuals which had sut'ti'ivd such a comparatively serious disadvantage as the loss of a leg or of a tarsus, would be in a plight so hopeless that even though some of them may survive, renew the limb and even breed, yet, as a class, by reason of their mutilation they musl rank with the unfit? Nevertheless we find not only that there is a mechanism for renewing the limb, but that the renewal is performed in a highly peculiar way ; that in fact the structure newly produced differs from the normal just as species differs from species, and is scarcely less true and constant in its pro- portions than the normal itself. Now it' this exactness in the proportions of the renewed limb is due to Selection, it must be due to Selection working among the mutilated alone; and of them only among such as re- ni'wed the limb; and of them only among such as bred. Moreover if the accuracy of the form of the renewed tarsus is due to Selection working on fortuitous variations in the method of renewal, and not to any natural detiniteness of the variations, the number of selections postulated is already enormous. But this \a.-t nunilier <>f selections must by hypothesis have all been made from amongst the mutilated — a group of individuals that would be suppose -i I to be at a hopeless disadvantage1. 1 The same dilemma is presented in nil cases win-re a special mechanism or device exists (and must lie supposed to have beeu evolved) only in connexion with Deration. An in tain-,- i- to he seen in the Loh-tei 's antenna. As is well known [In- antennai y tilainriit of the Lobster when lost is rein-wed not as a str- t.-t iletidl of normal form is of such consequence as to be rigorously maintained by Selection. CHAPTER XVI. RADIAL SEKIES. LITTLE need be said in preface to the facts of Meristic Varia- tion in Radial Series. In them phenomena analogous to those of the Variation in Linear Series are seen in their simplest form. Just as in Linear Series the number of members may be changed by a reconstitution of the whole series so that it is impossible to point to any one member as the one lost or added, so may it be in the Meristic Variation of Radial Series: and again as in Linear Series, single members of the series may divide. Be- tween these there is no clear line of distinction. Next, as in Linear Series, Variation, whether Meristic or Substantive, may take place either in single segments (quadrants, sixths, &c.), or simultaneously in all the segments of the body. For instance, a single eye may be divided into two, or there may be duplicity simultaneously occurring in all the eyes of the disc (see No. 634) and so on. These phenomena are here illustrated by facts as to the Meristic Variation of Hydromedusae and of Aurelia. The latter is exceptionally variable and in its changes exhibits important features. Together with these facts as to Variation in Major Symmetries is given an instance of similar Variation in the pedicellariae of an Echinid, and it will be seen that in this case of a Minor Symmetry the change is perfect and altogether comparable with those found in Major Symmetries of similar geometrical configuration. The best field for the study of the variations of Radial Series is of course to be found in plants ; and in the Meristic Variations of radially symmetrical flowers precisely similar phenomena may be easily seen. 4L>4 MliI;l>TIC VARIATION. [PART i. I. (JtELEXTERATA. *63u. Sarsia mirabilis ' : normally four radial canals, &c. (Fig. I'll. 1 and 111). Out of many hundreds of N.American specimens In',, were t-Mind with six radial canals, six ocelli, and six tentacles, ! FIG. 127. Surain miniliili.*. I and III, the normal form, with four radii, from mill from uliove. II and IV, au abnormal form with .six radii, from below and from ubuvu respectively. (From AGASSIZ.) y arranged (Fig. 127, II and IV). These specimens were «\' lar-vr ahsuliiir si/.- than the normals. AGASSIZ, L., Mem. Amer. Ac. Sci., iv. \>. -Jls, PL v. rig. 5. i.- the medusa of tlie Gymiioblastic Hydroid Syncoryne. CHAP, xvi.] RADIAL SERIES : JELLY-FISH. 425 *G31. Sarsia sp. Among many thousands examined on the east coast of Scotland one was found having six radial canals, six ocelli and six tentacles. ROMANES, O. J., Join: Linn. $oc., Zool., xn. p. 527. *632. Sarsia sp. A single specimen having Jive complete segments: the only abnormality met with among thousands of naked-eyed medusae observed, ibid., xm. p. 190. There is perhaps in the whole range of natural history no more striking case of the Discontinuity and perfection of Meristic Variation. Is it besides a mere coincidence, that the specimens presenting this variation, so rare in the free-swimming Hydromedusse, should have been members of the same genus ? 633. Clavatella (Eleutheria) prolifera. This form has a medusa which creeps about on short suctorial processes borne by the tentacles. The number of these tentacles varies from 5 to 8. In the specimens examined by KROHN' the number was 6. Most of CLAPAREDE'S* speci- mens had 8. FiLiPPi3 found that the majority had 6 arms, but 15 per cent, had 7. Those examined by HiNCKS4 never had more than 6. Filippi considered that the difference in number was evidence that his specimens were of a species different from Claparecle's. I examined many of this form at Concarneau and found six the commonest number in the free medusas, but those still undetached frequently had 5, possibly therefore the number increases with development. [See also Cladonema radiatum, &c. HINCKS, I.e., p. 65, &c.] Claparede states that the 6-armed specimens had 6 radial canals, but the 8-armed usually had four though occasionally six, but never eight canals. In this case note not only the frequent occurrence of Meristic Variation, but also the suggestion that particular numbers of tentacles are proper to particular localities. *634. Normally there is a single eye at the base of each arm. CLAPAREDE figures (I.e. p. 6, PL i. fig. 7 a) a case of duplicity of an eye, and says that specimens occur in which each eye is doubled, so that there are two eyes at the base of each arm instead of one. 635. Stomobrachium octocostatum ( JEquoridse) : variety found in Cromarty Firth, frds of size represented by FORBES (Monogr. Br. Naked-eyed Jfedusce) ; ovaries bluish instead of orange, and without denticulated margins. Tentacles arranged in double series, long and short alternating, while in the type the series is single. The number of large tentacles same as in type. Each smaller tentacle bears vesi- cular body at base, without pigment or visible contents. The same variety figured by EHRENBERG, Abh. Ak. £erl., 1835, Taf. vm. fig. 7. ROMANES, G. J., Jour. Linn. Soc. xn. p. 526. [Simultaneous Variation of the several segments.] With Nos. 634 and 635 compare the fact that in. Tiarops poly- 1 Arch.f. Naturg., 1861, p. 157. 2 Beob. iib. Anat. u. Entw. Wirbelloser Thiere, 1863, p. 5. 3 Mem. Ac. Torino, S. 2, xxm. p. 377. 4 Brit. Hyd. Zoophytes, 1868, p. 71. 426 M ERISTIC VARIATION. [PART I. tn there are //»/•/, m//// as a specific character four diadems 1 >et ween each pair of radial tubes, making in all sixteen instead of •////(/, which is the usual number in the genus. ROMANES, G. J., /-. I. luii. Sue. Zool., xn. p. 525. • i ;:{(>. Aurelia aurita. This form exhibits an exceptional frequency «f Mi-ri>tic Variation. In the normal there are 16 radial canals, 4 oral Inb.-s, 4- generative organs and 8 lithocysts. The de- partures from this normal form have been described in detail by KHUK.\]:I i:<.' and by ROMANES*. .Men-tir Variation in Aurelia may occur in two distinct ways, tir.-t in tin- decree to which there is complete separation between tin ^.-ii'-rat ive sacs, and second in actual numerical change. Imperfect division of generative sacs. In the commonest form of Aurelia there are four generative organs each met from its nri^lilxuns, but iu some specimens the generative epithelium is continuous all round the mouth, and there is then one continuous generative cliunilii-r. though opening by 4 openings as usual. (Such absence of complete sepa- I'ati'in lii-tween some of the generative organs is not rarely seen in cases of numerical Variation, v. infra.) Though the epithelium is then continuous it does not form ;i triii- circle, but is sacculated to form 4 (as normally) 3, 6, or some other number of incompletely separated parts. EHBENBERG (I.e., p. 22) saw a case in which there were 6 such sacculations, three on each side being united and having one generative pouch, luit cadi of these pouches opened by 3 openings. There was thus a bilateral -\ -1111111 -try, i -ai-h halt' containing three lobes of ovarian epithelium incompletely -i ]iarat'f these the most striking and also the most frequent are variations consisting in a perfect and symmetrical change in the fundamental number of segments composing the disc. Normally there are four • |u:idrants (Fig. ll'S, 1). Varieties are found having only half the usual number of organs, the disc being made up of two halves, each contain- ing one generative organ (Fig. 128, IV). Other symmetrical varieties having three, and six, as their fundamental numbers are shewn in Fig. l->. V, and II. These figures are from ROMANES. Symmetrical forms ha\ing live segments and eight segments are described and figured by KiiKKNHKiic. As to the comparative frequency of these forms facts are invcn below. In each of them all the parts normally proper to one • (iiadrant are repeated in each segment of the disc, the number of parts lieing greater or less than the normal in correspondence with the funda- mental numliiT of the specimen. iii-aas, C\ (I., M,h. I;. .I/.-. HV.-x.. /.v///,,, ls;r>, pp. 1<,)9— 202, Plates. 'J HOMANKS, (i. J., Jour. Linn. Soc., /<«eg nifiits (having .". oral lobes), but one of the three segments was imper- fectly divided into two. In a case of G segments, 3 on one side may be large and the other 3 small, somewhat as in Fi^. 1 28, VIII, but the whole disc was not circular, the i.nliu, on the >ide of the large segments being the greater. In the figures (after ROMANES) all the discs are represented as circle-,, but my own experience was that when there was not a truly 83 minei ri.-al dist ribiitiou of the generative organs the half quadrant or other segment j,, which the number of parts was greatest bulged out- wards, thus exemplifying the general rule that when an organ divides the two resulting parts are together larger than the undivided organ. Besides those specified, there are also irregular cases, e.g., specimens with .". generative organs but 4 oral lobes and other parts in multiples of I, but as Kiii:i.\i;i;i:<; says in such cases it is generally possible to detect that one i,f the generative organs is larger than the others or even partially double. He also saw cases otherwise arranged in a symmetry of G, but having 22 chief radial canals instead of 24, «fec. Also 14 radial i-anals (instead of 12; \\ere found in some cases of 3 generative organs. As everyone will admit, it is impossible in regular threes, sixes, Arc. to say that any particular segment is missing or is added rather than another. Comparative frequency of the several forms. *637. Among thousands of individuals seen by EHRENBEHG only two were S-rayed, \7i — 20 were Grayed, some 20 — 30 were 5- and 3-rayed, the remainder being I -rayed. In percentages, 90 are 4-rayed, 3 are 3-rayed 3 are 5-rayed, 2 are G-rayed and 2 have other numbers. Tin- result of an attempt to ascertain these percentages in a great shoal of A a n I'm washed ashore on the Northumberland coast on 4 Sept. 1892 is given below. The radial canals were not counted, and the numbers apply strictly to the generative sacs only. It will be seen that the proportion of abnormals is lower than that given by Ehrenberg. 2 generative sacs 0 .". ,, symml. : 3 oral lobes in 4 unbroken cases ...10 (0-57°/0) 3 ,, 2 large, 1 small: 3 or. lobes 1 4 ,, normal 1735 4 „ 3 large, 1 small: 5 or. lobes 1 4 ,, 2 large, 2 small : 3 lobes 1 5 ,, symmetrical 5 lobes in one 2 5 ,, not (juite symmetrical 1 G „ sym.: (> lobes in 2 unbroken cases 7 (0'39°/J G ,, not symmetrical 1 6 „ I large, L' small 1 6 ,, I large, 2 united: 6 lobes in 1 unbroken ... 2 G „ 3 large, 3 small : Globes 1 1763 CHAP. XVI.] RADIAL SERIES : PEDICELLARI^E. 429 There were therefore 1735 normals, 19 symmetrical varieties and 9 irregulars. It will be noted not only that the symmetrical varieties are comparatively frequent, but also that the several forms of irregu- larity were seen for the most part in single specimens only. II. PEDICELLARI^I OF ECHINODERMS. The number of jaws in the pedicellariae differs in different forms of Echinoderms, and I am indebted to Professor C. STEWART for information concerning them. In Asteroidea the number of jaws is usually two, but in Luidia savir/nii the normal number of jaws is three. In the Echinoidea the number of jaws is usually three, but in Asthenosoma the normal number is four. 638. Dorocidaris papillata : number of jaws in pedicellarise I I FIG. 129. Pedicellarise of Dorocidaris papillata. I. Normal form with three jaws. II. A pedicellaria with four jaws from the abactinal region. (From Prof. STEWART'S specimens.) normally three as in Fig. 129, I, but occasionally four in pedi- cellariae of the abactinal region, as in Fig. 129, II. [Note that the variety is perfect and symmetrical] For this fact I am obliged to Professor Stewart, who kindly allowed this figure to be made from his preparations. 639. Luidia ciliaris : pedicellariae nearly all with three jams; but on Roscoff specimens a few having two jaws occur on the borders of the ambulacral groove. In BanyuTs specimens none such were found in this position, but there is one in almost all the marginal intervals. CUENOT, Arch. zool. exp., S. 2. V. bis, p. 18. 640. Asterias glacialis : occasionally three- jawed pedicellarue like those of Luidia are found among the normal two-jawed pedi- cellarise. CUENOT, 1. c., p. 23. i:;tic \ariations observed in the manner of division of nuclei and cells; }>\\\ I have found that, to give adequate representation of these tacts even in outline, it would be necessary not only to treat nt a very complex subject with which I have no proper acquaintance, but also greatly to enlarge the scope of this work. I'.ut were no word >aid on these matters, indications most useful ,i- ( -011111 K ait on the nature of Meristic Variation at large would have to be foregone; and unwilling that these should be wholly lost I shall venture briefly to allude to so much of the matter as is needful to shew some ways in which the facts of abnormal cell- division can be iix-d in reference to the wider question of Meristic Variation. \\V have been dealing with cases of Radial repetition, and we ha\e seen that with Variation in the number of parts the result may still lie radially symmetrical. It therefore becomes of interest to note that in the case of abnormal cell-division the result of numerical change may in like manner be radially symmetrical. ('i 11s which should normally contain two centrosomes and which should divide into two parts have been seen to contain three centro- I II Fio. 130. Triastors. I. Tripolar division of nucleus in embryonic tissue of Trout (after II I;NM '. rv1). II. Triaster from mammary carcinoma. Centrosomes not shewn (from FI.KMMINO-). somes (Fig. 180) prior to division into three parts, and the tri- angle formed by the three centrosomes maybe equiangular just as may be the triangle of the segments of the abnormal Aurelia (Fig. Ills, V). or of the jaws of the normal pedicellaria of Dorocidcvris (Fig. l^'.h. It is, I imagine, difficult to suppose that the radial symmetry of each of these series of organs is 1 Hi NM .,rv, ./,„/,-. ,/, /•.•(/„(/. ,t ;•/,//>•., 1891, p. 397, PI. xix. fig. 9. -' I'M MMiMi, Zi'llsiilistnii;, J\,rn n. Z,lltit,ili,iif additions to the ends of Linear Series. This cireuinsiuiiee should be kept in view by those who seek in cases of numerical Variation, in Echinoderms to homologize -eparate segments of the variety with those of the type, hoping to be able to say that such a radius is added, or such other missing. As in other animals, this has been attempted in Echino- dermSj and though I know well that in the complex subject of Kchinoderm murpholugy I can form no judgment, yet it is difficult to suppose that the same principles elsewhere perceived would not be found to hold good for Kchinodernis also. All that is here proposed is to give abstracts of facts as to Variation in the numbers composing the Major Symmetries. 1 1 will of course be remembered that though the fundamental number in Echinoderms is most commonly rive, other numbers also occur us normals, (e.g. four in the fossil Tetracrinus, six in some Ophiurids, \re. Examples will be given of total change from tive to lour and to six, and so on. It is besides not a little interest ing that of the normally 4-rayed Tetracrinus both ."> -rayed and .".-rayed varieties should be known. llesides the e.\a m pies of t ot u I Variation t here are a few cases of incomplete Variation in which there is a fair suggestion that CHAP, xvii.] RADIAL SERIES I HOLOTHURIOIDEA. 433 a particular ray is reduced in size (Nos. 680 and 681, &c.). There are also two cases of imperfect division of a ray in an Echinid (Nos. 688, &c.), while in Asteroids &c. this condition is common. It is of importance to observe that just as in Linear Series abnormal divisions of members of the series are commonly transverse to the lines of Repetition, so in radial forms the divisions of rays are commonly radial. The evidence is complicated by the fact that in many Echinoderms extensive regeneration can occur, and in some genera reproduction by division of the disc and subsequent regeneration is almost certainly a normal occurrence1. Never- theless it cannot be doubted that the variation seen in Echini, in Asterina, in the discs and stems of Crinoids, &c., are truly congenital. Similarly, though in Asterias &c. reduction in the number of arms might otherwise be thought to be due to mutila- tion, it cannot be so in Echini &c. HOLOTHURIOIDEA. *642. Cucumaria planci : among 150 half-grown specimens found at Naples five were 6-rayed. LUDWIG, H., Zool. Anz., 1886, ix., p. 472 [These specimens are described in detail.] To determine which is "the intercalated ray" the following ingenious reasoning is offered, and as a good practical illustration of the conception of the individuality of segments as applied to an Echinoderm we may well consider it. 1 It is likely that several of the Ophiurids and Asteroids which normally have more than 5 arms undergo such fission. LUTKEN ((Efvers. Uansk. vid. Selsk. Fiirh., 1872, pp. 108—158 : tr. Ann. and Mag. N. H., 1873, S. 4, xn. pp. 323 and 391) gave an account of this phenomenon. Ophiothcla isidicola (Formosa) generally has 6 arms, rarely equal, usually 3 large opposite to 3 small; specimens common with only 3 arms, with appearance as if corresponding half-disc cut off. There can be no doubt that the animal divides and that the other 3 arms are renewed. The same phenomenon has been seen in other small 6-armed Ophiurids, especially of genus Ophiactis, but Liitkeu never saw any trace of it in any normally 5-rayed species of the genus. There are indications that the division occurs once when the animal is very small and again when it is adult or nearly so. In Ophiocomu pumila the small specimens have 6 arms, while the adults have 5. Probably therefore division only occurs in the young, the last division being followed by the pro- duction of 1 or 2 arms instead of 2 or 3. Division is probably not a usual occurrence even in Ophiurids having more than 5 arms. Ophiacantha anomala has normally 6 arms, and 0. vivipara has 7—8, but no such appearances are known in them. Similarly there is evidence [figs, given] that certain Asteroids having normally more than 5 arms viz. Asterias problema Stp. [ = Stichaster attains], A. tennitpina &c. undergo fission ; but there is no reason for believing that other many-armed Asteroids divide. The Solasters have many rays, Asterias polaris has 6, but no signs of division are seen in them. An account is also given of the comet-like specimens of Ophidiaster crilrarhis, occasionally found, having one long arm, at the adoral end of which are present 4 or 5 arms as mere tubercles or as half-grown structures. This phenomenon is well known in Linckia multiflora, in which doubtless the separate arms may break off, each reproducing complete disc and arms. [See also as to Stichaster albulns, Asterina wega, &c., CUENOT, L., Arch. zool. exp., V. bis, 1879—90, p. 128; and as to Linckia, SARASIN, Ergeb. naturw. Forsch. auf Ceylon, 1888, i. Hft. 2.] B. 28 434 MERISTIC VARIATION. [PART I. In the nonii.-il there are •"> radii and interradii, and 10 tentacles: in tin- abnormal* there are 6 and 12 respectively. In half-grown normals the .". ambulacra of the ventral trivium have more tube-feet than the '1 ambulacra of the bivium ; also the pair of tentacles corre- >l"iii«liiii,r to the central radius of the trivium are smaller than the rest. In the aliiionnals :'< amliulacra have more tube-feet and are separated bv narrower intcrradii than the rest, and of them the central has the le:iM pair of tentacles : therefore these are the 3 radii of the ventral tiivium, and of them the central is the central of the normal. The structure of the calcareous ring bears out this correspondence. The central radius of 1 he \entral trivium is therefore not the intercalated radius. In the G-rayed specimens there is thus a ventral trivium and a 'dorsal trivium.' (There were 2 Polian vesicles in 3 specimens, 3 in one and one in the other, but in the normal also these vary in number.) The stone-canal was single in all ; but in one of them it could be seen that the canal arose in the interradius to the left of that which bore the madreporic plate, suggesting that the radius thus crossed was super- numerary ; for in a normal the interradius of the dorsal mesentery is in the centre of the bivium. In a normal there are in the calcareous ring two radials on either side between the dorsal mesentery and the ventral median radius. In 4 of the abnormals (to which alone what follows refers) there were 3 such radii on the left and 2 on the right, while in the 5th specimen there were 3 on the right and 2 on the left. The respiratory trees of the normal are in the right interradius of the bivium and in the left interradius of the trivium. In the 6-rayed they are in the left interradius of the ventral trivium and in the lower riidit interradius of the dorsal trivium, agreeing with the normal and shewing t hat the right radius of the ventral trivium is not an intercalated one. Next, the mesentery in its course traverses in the 6-rayed form I radii and '.'> interradii, the lower right interradius of the dorsal trivium with its L' adjacent radii alone being free. In the normal, 3 radii and 1* interradii are thus traversed, the right bivial interradius and its 2 adjacent radii being free. Therefore the right radius of the dorsal trivium and of the ventral trivium are not intercalated. The central radius of the ventral trivium has already been excluded; therefore the intercalated segment is either the middle or the left of the dorsal, or the left of the ventral trivium. In a normal, the mesentery which is attached to the alimentary canal at that place \\here its upward portion again turns downwards comes from that interradius which bounds the ventral trivium on the left. This is the case also in the abnormals, and therefore the left radius of the ventral tr'muin is not intercalated. Of the two remaining radii the left of the dorsal trivium is in nowise abnormal, but the central dorsal radius IS abnormal in that it is crossed by the sand-canal, therefore the central ilm-aul is the intercalated radius. And since in four cases there were three radii in the calcareous ring on the left, between the interradius of the stone-canal and the central of the ventral trivium, and two on the ri tin- useful collection of evidence on the subject given by BATHER, F. A., Quart. Jour. <;>ol. 6'oc., 1889, p. 149. Fntir-rai/ed varieties of five-rayed forms1. (544. Holopus rangi. This genus was originally described from a 1 -rayed -pecimeii by ]>'< )|;i:K;NY, Mag. de ZuoL, 1837, Cl. X., PI. III. Subsequently, ~> rayed examples were obtained and this condition was found to be normal (see, ( ' AKPIATER, Chall. Rep., xi., Pt. xxxn., p. 197). '!4.'i. Eugeniacrinus : departure from 5-rayed condition very rare. Among many hundreds of calyces in Brit. Mus. one only is 4 rayed, BATIIKK, /. <•., p. 1 55. G4G. E. nutans : I rayed specimen at Tiibingen figured in QUENSTEDT'S Atlas to /W/v/;,,v, „/•. l),'nfschl. Taf. cv., h'gs. 179 — 181. Another case I.OI.MI ss, /'. //•« /,/,•/,/ Germanics, i., p. 163, PL i., fig. 4, now in Poppels- dorf .Mus., Hour. ( Itather). »!47. E. caryophyllatus : 4-rayed specimen seen at Stuttgart. Such a specimen |Mhe same] Uosixus, Tentaminis de Lithozois . . . Prodr. Arc., tab. in. (Jlamb. 1719). Another case GOLDFUSS, I.e., fig. 4: now in Poppelsdorf Mus. (Bather). G4S. Pentacrinus : a 4-rayed stem-joint from the Chalk, MANTELL, G. A., (,'enl. o/Swsex, 1S22, p. 183 : now in Brit. Mus., E. 5501 (Bather). <;4!». Pentacrinus jurensis : 4-rayed specimen. The stalk had only 4 sides, one being quite flat. This fiat side had an articulation for a cirrus. DE LoRiOL, P., Paleont. Franc. Terr, jur., Ser. 1, Paris, 1886, p. 112, PI. r\i.iv.,/i>. 6. G50. P. subsulcatus : 6 joints of a 4-rayed stem, ibid., p. 117, PL 651. P- dumortieri: 8 joints of a 4-rayed stem, ibid., 1887, p. 186, PL n.xil., tigs. G and 6 a. G52. P- dubius : 4-sided stem quite regular. Basle Mus., BATHER, I.e., p. Ids. 6 :>.S. Balanocrinus subteres : 4-sided stem quite regular, ibid. G54. &• bronni : "the articular surface shows 4 sectors quite regularly disposed ; this peculiar character is continued over the whole series of joints, 'Jli in number." ////>/. G55. Encrinus fossilis : a 4-rayed calyx, &c., v. STROMBECK, A., Z (.«•/!,: in,l M,i;l. \ . //., 1843, xi. p. 203. CHAP, xvii.] VARIATIONS IN CRINOIDS. 437 658. Actinometra paucicirra : 4-rayed specimen, Hid. " In call these [Nos. 657 and 658] the anterior ray (A) is missing, so that the mouth, instead of being radial in position is placed interradially between the rays E and B." CARPENTER, I. c. Compare the following case of imperfect change towards the 4-rayed state : 659. Cupressocrinus crassus : abnormal calyx (now referred to this species, see BATHER, I. c., p. 169) has one segment of the calyx reduced in size and bearing no radial plate or arm. This reduced segment is covered in by the adjacent segments so that the calyx as a whole is regularly 4-sided. GOLDFUSS, Nova Acta Ac. C. L. C., 1839, xix. p. 332, PI. xxx., tigs. 3 a and b [cp. No. 665]. Six-rayed varieties of Jive-rayed forms. 660. Actinometra pulchella : doubtful case of six rays, CARPENTER, L c. 661. Antedon sp. Six-rayed specimen. "The additional ray is in- serted between the two of the right side (D and E)." CARPENTER, I. c. 662. Rhizocrinus lofotensis : 6-rayed specimen. Four and six rays stated to be more common in Rhizocrinus than in other recent Crinoids ; seven rays are also found, but very rarely. In Pentacrinus no 6-rayed specimen seen. CARPENTER, P. H., Chall. Rep., xi. Pt. xxxii. p. 38, PI. vin. «, figs. 6 and 7. *663. Pentacrinus jurensis (probably) : stalk with 6 sides. [Fig. represents two adjacent lobes of the stalk as smaller and closer together than the rest, suggesting that perhaps these two may cor- respond with one lobe of the normal.] DE LORIOL, I.e., PL CXLIV. fig. 7. 664. P. jurensis : 6-sided stalk having two adjacent lobes larger than the others, ibid., fig. 10. The following is a case of imperfect change towards the six-rayed state : 665. Sphaerocrinus geometricus : abnormal specimen having the basal plate irregularly six-sided by reason of the flattening of the external angle of an infra-basal piece. Three of the sides are normal and each of these bears a normal parabasal ; but of the other three sides two are rather shorter than the normal sides and each of them bears a somewhat smaller parabasal. Upon the sixth side between these two, is a still smaller parabasal. The radials are five as usual, but one of them articulates with the smallest parabasal and in con- nexion with this its form is changed [for details see original figure]. Sculpture, -sidrd basal plate containing only 4 canals round the central canal ( Fig. 132, I). Varieties have been seen in which 667 a. 1 1 Fir;. 132. Cupresmcrinn* iinn-ilix. The normal form of the basal is shewn in I. A fnrin with live canals round the central is represented in II, and in the specimen shewn in III there are three peripheral canals. See No. 667 r .Vsid.-d in correspondence with the number of canals. C. elongatus : stalk may be either 4- or 5-sided. The species ('. iiitliit/is has normally 3 canals in the (circular) stalk. Sciu'LTZE, L., Deiikxrlu: A/,: Wiss., Mut/i.-itdt. Cl., 1.S67, xxvi. pp. 1 30 and 136, PI. I. tig. 2 b, and PI. III. figs. 2 c and 2 i. [Cp. No. 6G7.] 668. Abnormalities in the manner and frequency of branching in the arms of Crinoids leading tn (.Teat nunit rii'al \aiiatimi have been often recorded. See CARPEVI i R, C/i.///. /{,•!>., X\M. 1't. ix. ]>. 28; id. I'hil. Trans., 1866, Pt. 2, p. 725 PL, also a case tit' tir,li i anus in Antedon rosacea, the ul'imnnalit y nut liein^ symmetrical, DF.MIY, l'i-"i-. l;. I'luja. Sur. i-'.iiin., ix. p. l*n. I'l. ; also case of A. rosacea having abnormal branches in t\v.> arms symmetrically placed with regard to the axis. BATKSON, W., /'. /. g., is'.in. p. r.sl. !i^. I (in, w in Coll. Sur-;. Bias.). The abnormal arms were //, and <•, of the usual nomenclature, as shewn in Fig. 133. For details see original description. Encrinus liliiformis : anmngst other abnormalities case given in which <>m- nf tin- radii bore only one arm. v. STROM- I;KI K, ]',/!, i, ,nt., iv. j). 169, PI. xxxi. fig. 3. CHAP. XVII.] ASTEROIDEA. 439 ASTEROIDEA. 670. Symmetrical change in number of rays is common in some of the forms. Asterias rubens and A. glacialis are frequently seen with 6 or with 7 arms symmetrically arranged, and I have anus FIG. 133. Antcdon rosacea having two arms abnormally divided. The figure A shews the relations of the two abnormal arms, &„ and t'j, to the mouth and anus. B shews the arm b.2. (From Proc. Zool. Soc.) 440 MEKISTIC VARIATION. [PART i. seen one with X. Individuals with 4 arms occur, but are much less common tli.-m those with 6. I have seen Asterina gibbosa with 4 ray>, and a -prrimeii (Scilly) given me by Mr S. F. Harmer has ii rays, of which 2 are a little nearer together than the others (su^.'-tin^ division of ,-i ray). Mr K. \V. MaeBridr tells me that In- has sc.-ii st -\i-ral 6-rayed specimens of this species. Mr E. .). Bl'-s kindly tells me that he dredged a 4-rayed Porania pulvillus in the Clyde estuary. There appeared to be no trace of a tilth ray and the specimen was as nearly as possible sym- metric:! I. Tin1 following cases exhibit special points. 671. Asterias glacialis : specimen with 8 rays possessed 3 madre- poritfs. COUCH, J., C/mrleswort/t's Mag. of N. H., 1840, iv. p. 34. 072. Asterias rubens : 6-rayed specimens frequent at Wimereux. In several of these there are two sand-canals terminating at a common madreporite. GIARD, A., Comptes rendus, 1877, p. 973; cp. id. C. R. sec. biol., 1888, p. 275. G73. /''irfiiif il'u-ixiun of an arm is fairly common in Asteroids, but less common I believe than the total variation in number, though I know no statistics on this point. For a figure of Asterias (Hippasterias) equestris L. with a bifid arm, presenting no appearance as of regener- ation see TIKDKMANX, Zdtxchr. f. Phys., 1831, iv. p. 123, Plate 1. The two following are peculiar cases. 6 / 4. Cribrella oculata : one of the arms bearing a branch, not as a radius, but about (in dried specimen) at right angles to the normal arm, the property of Prof. C. STEWART, who kindly shewed it to me. 675. Porania pulvillus, Cray (a Starfish): Specimen 5 cm. in diame- ter, having five short rays. The ray opposite the madreporite u-Jien viewed from the, aboral surface is seen to be distinctly bifurcated at rara&sgsg w ^:ll ^ Kx^'ffl , «y& Fio. 134. Pitrniii'i jiuli-illnx, No. 675, having the arm opposite the madreporite abnormally divided as shewn at x and y. (From a sketch kindly sent by Prof. I ll UI'MAN.) CHAP, xvii.] ECHINOIDEA. 441 about 1 cm. from its termination. The ambulacra! groove of (Fig. 134) this abnormal ray divides into two branches at a distance of 2 cm. from the edge of the mouth. One of these branches runs along one of the forks of the ray to its extremity without further complication ; but the other branch, belonging to the second fork, divides again 2 mm. from the first bifurcation, so as to form two tracts which unite with one another 3 mm. further on, thus inclosing a small piece of the ordi- nary integument in an ambulacral area. Finally, this anibulacral area divides once more close to the tip of the ray. There are no signs of injury or disease in the specimen. HERDMAN, W. A., Nature, 1886, xxxi. p. 596. [I am indebted to Professor Herdman for the accom- panying diagram of this specimen.] ECHINOIDEA. In the Echinoids there are (1) cases of total Variation to a 4-rayed form with 4 ambulacra and 4 interambulacra1 : (2) cases of partial or total disappearance of a definite ambulacrum or interambulacrum, which can be named either because part of it is present, or because two sets of similar plates thus become adjacent: (3) a case of total variation to a 6-rayed form : (4) cases of imperfect reduplication of a radius, thus forming an imperfectly 6-rayed form. (1) Total Variation to a ^-rayed form. 676. Cidarites coronatus?: 4-rayed regular specimen (Fig. 135). MEYER, A. B., Nova Acta C. L. C., xvm. 1836, p. 289, PI. xin. Fie. 135. Cidarites coronatusf No. 670, a regularly 4-rayed specimen from oral surface. (From A. B. Meyer.) *677. Echinoconus (Galerites) subrotundus : 4-rayed specimen in ' Woodwardian Mus. (Fig. 136). The ambulacral and interambulacral areas are relatively wider than in a normal of the same size, the space of the areas that are wanting being as it were shared among those that are present. Apical disc roughly rectangular, and seems to be com- posed of 4 perforated basals (genitals) and 4 perforated radials (oculars). The basal plate corresponding to the posterior unpaired interambulacral area is perforated, though normally ituperforate. Statement made that , Arch, de Biol., 1891, xi. p. 632, says that Echinoconus vulgaris has been seen with only three radii, but no authority is given. 442 MERISTIC VARIATION. [PART i. the parts missing are those which lie on the left side of a line drawn through the middle of the anterior single ambulacrum and the posterior '10. FIG. 136. Echinoconus subrotundus having 4 rays, No. 677. (From BOBERTS, Gtol. .)/•/;/., IH'JI.) 1. View of apical system. 2. Seen from side. 3. From apex. 4. From below. iia, anterior ambulacrum ['?]. mp, madreporite. «/, anal interradius. The parts are lettered after Itoberts. unpaired interamlmlacrum, hut it is not possible to say which of the ]i;iirnl areas of this side are wanting, as the pores in the ambulacra! plates round the peristome are indistinctly shewn. ROBERTS, T., Geol. -I/".'/., 1S91, Dec. in., vin. p. 116, figs. ij7S. Discoidea cylindrica : a -1 -rayed specimen, absolutely sym- iiirtri<'al. There are only 4 oculars corresponding with the 4 ambu- lacra. COTTEAU, G., PaLfrang., 1862—67, vn. p. 31, PI. 1011, figs. 6 and 7. [This is exactly like KOBKKTS' case No. 677 and is illustrated by beautiful figures (q.i'.). Cotteau in describing it says that the anterior ambulacrum is wanting. It is difficult to see any sufficient reason for the determination that this ambulacrum in particular is u anting. For in this case there are only 4 sets of interambulacral plates as well as 4 ambulacral areas in perfect symmetry. The anus of course lies between two ambulacra ; and as the whole number is even and the radii are symmet rieally arranged, there is thus no ambu- lacrum in (lie plane of the anus. Hence the suggestion that it is the anterior ambulacrum which is wanting. But if by Variation an Echinid has 4 symmetrical radii it would always seem that the CHAP. XVIL] ECHINOIDEA. 443 anterior ambulacrum was missing, whether it be the anterior ambu- lacrum, or the left anterior, or the left posterior that is wanting, or even if all 4 new ambulacra correspond with all 5 of the normal.] 679. Amblypneustes sp. (S. Australia): four specimens, each with four ambulacra [no description or statement as to symmetry]. HAACKE, Zool. Am., 1885, p. 505. (See No. 687.) (2) Partial or total disappearance of a definite ambulacrum or inter ambulacrum. '680. Echinus melo, having only four complete ambulacral areas (Fig. 137). The specimen is not spherical, for the apical system is warped over in one direction and the oral pole is pulled in an opposite direction, while the shell is much higher in the region of the apical system than it is at the opposite side. There are only four ocular plates, which are subequal, the madreporic plate and the plate opposite to it being some- what larger than the other two. The genital plates are also four. Only four ambulacral areas leave the apical system, and at that point they are almost symmetrically disposed. Lower down however a triangular series of plates bearing ambulacral pores is intercalated between the plates of one of the interambulacral systems which it divides into two. This intercalated series is of course the representa- tive of the ambulacral area which is wanting at the apex of the shell. The Jive ambulacra are nearly symmetrically disposed round the oral surface just as the four ambulacra are round the apical system. This transition from, a tetramerous to a pentamerous symmetry is effected by complementary changes in the amount of divergence of the rays as they pass down the shell. Examination shews that the ambulacrum which is thus partially absent is the right posterior. PHILIPPI, Arch. f. Naturg., in. p. 241, Plate. *681. Amblypneustes formosus : a 4-rayed specimen having a somewhat asymmetrical test. One of the interambulacral regions is abnormally wide, and at about 9 plates down the side of the test in this region a wedge-shaped piece composed of several partially distinct plates bearing 7 pairs of ambulacral pores. This fragment doubtless represents the deficient ambulacral area. The apical system consists of 10 plates. The two genital plates of the abnormal area are reduced in size, and the ocular plate between them is abnormally large. Consider- ing the madreporic plate as indicating the right anterior interambula- crum, it appears that it is the left anterior ambulacrum which is thus deficient. The height of the shell at the abnormal side is less than at the other. BELL, F. JEFFREY, Jour. Linn. Soc., xv. p. 126, Plate. In each of the foregoing the missing ambulacrum is actually at some place represented by plates of ambulacral character, and the shape of the test is greatly changed in correlation with the partial disappearance of the radius. The following cases differ, in that in them one ambula- crum is wholly wanting in the affected radius, and the interambulacra are contiguous with each other. Curiously enough in two of these specimens the symmetry is changed little or not at all. The cases in Hemiaster were all Algerian fossils '. 1 Besides those here given in the text, GAUTHIEK in the same place describes an interesting case of symmetrical reduction in the two posterior ambulacra of Hemiaster alricanus. 444 MKRISTIC VARIATION. rp [PART i. ra la II 1 hi. 137. A'C/I/HHS wt'hi. No. 680, having the right posterior ambulacrum Initially nil-rut. ", anterior ambulacrum, ra, In, ri^'ht and left anterior ambu- lacra, rp, lp, ri^ht and left posterior ambulacra. I. View from apex. II. View from oral surface. (From PHILIPPI.) CHAP. XVIL] ECHINOIDEA. 445 (582. Hemiaster batnensis : specimen in which the left posterior ambulacrum is not present, and the ambulacral groove is only indicated by a shallow depression, beyond which there are some rounded pores which continue the ambulacral area beyond the fasciole. The corre- sponding ocular seems to be absent. The test is of normal form, but the median suture of the right posterior interambulacrum is not quite straight. GAUTHIER, M. V., Comptes rendus de VAss. pour I'av. des sci., 1885, xm. p. 258, PL vn. fig. 1. 683. H. batnensis : very similar case of absence of right anterior ambulacrum and corresponding genital and ocular plate, ibid., fig. 3. 684. Hemiaster sp. : left anterior ambulacrum wanting and is gone without trace. There are only 4 oculars and 3 genitals. In corre- spondence with this variation there is considerable change in symmetry of the test, which is irregular, the anterior and right anterior ambu- lacra being deflected from their normal courses. [See details.] Ibid., figs. 4 and 4 bis. [Here, where there is a clear differentiation between the several ambulacra, it is doubtless possible to affirm that such a definite ambulacrum is missing, for the two interambulacra are left adjacent to each other.] 685. Echinus sphaera (0. F. Miiller): specimen described in which the left posterior interambulacral series of plates is almost entirely absent. The details of the structure are as follows : the genital plate which stands at the head of the left posterior interambulacrum is reduced in size in all directions ; but the two ocular plates which should be separated by it are somewhat enlarged, bearing several extra tuber- cles, and meet together peripherally to the genital plate. The series of interambulacral plates which should begin from this genital plate are represented by a rudimentary row of small tubercles : the ambulacral systems which are normally separated by these plates are consequently almost contiguous. The rudimentary interambulacral series widens somewhat at a short distance from the apical series and forms a small island of interambulacral structure bearing 4 large tubercles. Beyond this, viz. at a point placed about ^ the distance from the apex to the oral surface, the two ambulacra again unite and are continued as a single ambulacrum of double width. DONITZ, W., Mullens Arch. f. Anat. u. Phys., 1866, p. 406, PL xi. (3) Case of total Variation to a 6-rayed form. *686. G-alerites albogalerus(P) : a regularly 6-rayed specimen having six symmetrical ambulacra and interambulacra (Fig. 138). MEYER, A. B., Nova Acta Ac. Cces. Leop. Car., xvni. 1836, p. 224, PL xm. Fm. 138. Galerites alboyalerus, No. 686. A six-rayed specimen. (After MEYER.) 446 M ERISTIC VARIATION. [PART i. 687. Amblypneustes (S. Australia): G-rayed specimen [no description or statement ' as to symmetry]. HAACKK, W., 7<»>l. Anz., 1885, p. 505. (See No. 679.) (4) Cases of imperfect reduplication of a radius. *688. Amblypneustes griseus : having one of the ambulacra doubled (Fig. 1 .'!!') : tin- apical system was normal. The width of the anterior ambulacra! region was almost double that of the others : it contained two ambulacra lyimr side by side, each, as usual, composed of a double row of plates with an ambulacral area and two poriferous zones. The I'm. 139. Anilli/pneustes griseus, No. 688. Specimen having the anterior ambulacrum doubled. I. The test seen from the apex. II. Details of anterior ambulacrum shewing combined poriferous zones between A and A. The dotted line bisects the ambulacrum of double width. (After STEWABT.) areas and external poriferous zones are like those of a normal ambula- crum ; but the poriferous zones which touch one another are fused together, with the pores irregularly arranged. The combined porifer- ous zones are not quite equal to the sum of two normal ones. The whole of this area, formed of the union of two ambulacra, projects as a ridge which is continued down the whole of the side of the shell. STKNVAKT, C., Jour. Linn. Soc., xv. p. 130, PI. 689. Hemiaster latigrunda : right posterior ambulacrum double, the two resulting ambulacra ;uv closely adjacent peripherally and a small inter. iinliiilacral area is formed between them in their more central parts. There are G oculars but no extra genital. GAUTHIER, /. c., tigs. 5 and -") ///.s-. 690. Hemiaster batnensis : right anterior ambulacrum double, the two ambulacra are in contact through all their length. COTTEAU, Pal. frant;., 18G9, p. 150, PI. xx., and GAUTHIER, /. c. [For interesting evidence as to variation in the number of genital pores on the costals in several genera of Echini, see LAMBERT, Bull. Soc. Yonne, 1890, XLIV. Sci. CHAP, xvii.] OPHIUROIDEA. 447 nat., p. 34; also GAUTHIER, Comptes rftidus Ass. fr. pour I'av. Sci., Toulouse, 1887, and other references given by these authors.] OPHIUROIDEA. Individuals with various numbers of arms are often seen, especially in the genera Ophiothela, Ophiocoma, Ophiacantha and Ophiactis, and in many of the species there are most usually six arms. In these forms the evidence as to Meristic Variation is complicated by the circumstance that in several of them change in the number of arms may take place in the ontogeny, by division and subsequent regeneration (see note on p. 433). CHAPTER XVIII. BILATERAL SERIES. OF the organs repeated in Linear Series whose variations have been illu>t rated, many are bilaterally repeated also ; but thus far we have considered them only in their relations as members of Linear Scries. It now remains to examine the variations which they exhibit in virtue of their relation to each other as members of a Bilat'-ral Series. Meristic Variation in this respect is manifested in two ways. A normally unpaired organ standing in the middle line of a bi- lateral symmetry may divide into two so as to form a pair of organs ; and conversely, a pair of organs normally placed apart from each other on either side of a middle line may be com- pounded together so as to form a single organ in the middle line. In animals and plants nothing is more common than for different forms to be distinguished from each other by the fact that an organ standing in the middle line of one is in another represented by two organs, one on either side. The facility there- fore with which each of these two conditions may arise from the other by discontinuous Variation is of considerable importance. Admiral ile instances of the bearing of this class of evidence upon the question of the origin of Species are to be seen in zygomorphic flowers. Veronica for example differs from the other Scrophulariacese especially in the fact that it has only one posterior petal, instead of two posterior petals one on each side of a middle line. But there is evidence not only that forms having normally two posterior petals may as a discontinuous variation have only one such petal, placed in the middle line, hut also that the single posterior petal of Veronica may as a variation be completely divided into two. Similarly the single anterior petal of Veronica may also as a variation be divided into two, thus giving three posterior and two anterior petals as in for example SalpiffloBsis1, In these cases, which might be indefinitely multiplied, 1 An account of several discontinuous variations in the structure of zygomorphic corollas was ^ivi-n by Miss A. BATESOX and myself. Jour. Linn. Soc., 1892, xxvin., CHAP, xviii.] BILATERAL REPETITION. 449 there is thus a clear proof that so far as the variations in number and symmetry are concerned, the transition from the one form to the other may be discontinuous. Analogous phenomena in animals are so familiar that general description of them is for the most part not needed, and an account will only be given of a few less known examples both of union and of division of such parts. Besides these strictly Meristic Variations in the amount of separation between the two halves a few examples are introduced in further illustration of the relationship that subsists between the two halves of a bilateral animal. In considering the evidence both of median union and of division it must be remembered that the germs of most of the organs in question are at some time of their developmental history visibly double, and that when organs that should normally unite to form single median structures are found double in older stages, this duplicity is strictly speaking only a persistence of the earlier condition. But to appreciate this comment it should be extended. For, in every animal in which at some period of the segmentation of the ovum, the plane of one of the cleavages corresponds with the future middle line, all median organs must in a sense be paired in origin, and the distinction between paired and median organs is thus seen to be only one of the degree or amount of separation between the symmetrical halves. Nevertheless the evidence of Variation bears out the expectation that would be formed on examination of normal diversities between species or larger groups both in animals and plants, namely that whenever structures are geometrically related to each other as optical images, insta- bility may shew itself as Variation in the degree to which such parts unite with or separate from each other. It is remarkable that this instability appears as much in the case of organs bi- laterally symmetrical about an axis of Minor Symmetry as it does in the parts paired about the chief axis of Symmetry of the whole body. Examples of such Variation in bilaterally symmetrical parts of a Minor Symmetry have been already given in the case of the feet of the Horse and of the converse phenomenon in the feet of Artiodactyles (q.v.). A good illustration of the way in which duplicity about an axis of Minor Symmetry may pass into the unpaired condition is seen in the case of ocellar markings on bilaterally symmetrical feathers. By comparing different feathers on several species of Polyplectron, DARWIN found that it was possible to find most of the gradations between the complete duplicity shewn in Fig. 140, I. where each half of the feather bears an almost symmetrical # •/ ocellus, and the partially confluent condition shewn in Fig. 140, II, which is not far removed from the state of the ocellus in the Peacock's tail-coverts, where the whole ocellus has no peripheial B. 29 450 SIERISTIC VARIATION. [PART i. indentation and is very nearly symmetrical about the rachis of ill.- t'.-atli.-r, though eacb -if it> 'li' lives has no axis of s\ mim-try. I II Fie;. 140. I. Part of tail-covert of Pnlyplectron cliitiifiiis, with the two ocelli of nat. size. II. Part of tail-covert of Polyplectron malaccense, with the two ocelli )i;irtiiilly confluent, of nat. size. (From C. DAKWIX. }><:«-, nt nf Man, 1871, n. p. 139, figs. 54 and 55.) Attention should be called to the fact that abnormal division along a middle line may in many cases represent one of two different pheno- mena which are not readily distinguishable. For when a normally >ingle or^aii is represented l»v two, standing on either side of a middle line it is often possible that there may be not only a division of the organ but a partial duplicity of the axis. These two conditions are of course morphologically distinct ; for in the case of division of the organ onlv, the two parts are still in symmetry about the original axis of Major Sviiimet rv of the body, but in the case of duplicity of the axis there are two equivalent axes of symmetry, about which each half is separately symmetrical But though this distinction is in a sense a real one it cannot be applied to cases of duplicity occurring in any organ whose halves assume a bilaterally symmetrical form when sepa- rate. For example in the case of the foot of the Horse, or of the ha'inal spines Arc. of Gold-fishes (r. infra), when division occurs, each of the two halves is only hemi-symmetrical, and this duplicity is no more evidence that the axis is double than is the ordinary double condition of the vertebrate kidney; Imt in the case of duplicity of the central neural canal in 31. -in for instance, or in the case of the tail-spine of LliiiH/Hfi described below, it is not clear that there is not a partial duplicity of the axK DIVISION OH ABSENCE OF UNION IN MIDDLE LlNE. of the organs which in a vertebrate stand in a median have been seen inoiv or less often in a divided condition. CHAP, xviii.] MEDIAN DIVISION: GOLD-FISHES. 451 Examples of such division in the middle line were, I believe, first put together by GEOFFROY ST HILAIRE, and a very full collection of the evidence seen in Man is given by AHLFELD \ The organs most often divided are the sternum, neural arches, uterus, penis, &c., and of these, specimens may be seen in any patho- logical collection. Organs more rarely divided are the tongue2, epiglottis3, uvula4, and central neural canal5. The following are special cases of variation consisting in a median division. Division of caudal and anal fins in Gold-fishes. *691. Cyprinus auratus (Gold-fish). The following account of the multiple fins of Gold-fishes in China and Japan is taken chiefly from Pouchet6 and Watase7. There is evidence to shew that these animals were first imported to Japan from China. Three distinct breeds of Gold-fishes are kept in Japan. The first, called "Wakin " has a slender body closely resembling that of the common carp. The second "Maruko or Ranchiu" has a very short body, being in some cases almost globular in shape and in it the dorsal fin is generally entirely absent. The head is usually disfigured by rough-looking protuberances of the skin which often attain a considerable size. The third or "Riukin" has a short body with a rounded ab- domen. Of all the breeds, this has the most beautiful tail which is very large and often longer than the rest of the body. Gold-fish breeders of the present day can freely produce the " Riukin" or "Maruko " from the " Wakin." Various intermediate forms between the above-mentioned breeds exist. In all gold-fishes, irrespective of the breed to which they belong, the tail-fin is, above all other parts, subject to the greatest varia- tion. It is to be found in one of the following three states ; (1) It is vertical and normal. (2) It may consist of two separate halves ; each of these halves is to all appearance a complete tail and the two tails pass backwards side by side, but are united dorsally at the point where they join the body. (3) The two tails thus formed are united by their dorsal edges to a variable degree and their lower edges may be bent outwards, so that the two combined tails come to be spread out into a three-lobed, nearly horizontal fin. 1 AHLFELD, F., Missl>. d. Mensclien, 1880. 2 PARTSCH, Bresl. Arztl. Ztsch., 1885, No. 17 ; POOLET, Amer. Jour., 1872, N.S., cxxvi. p. 385 [from AHLFELD, p. 119]. 3 MANIFOLD, W. H., Lancet, 1851(1), p. 10; FRENCH, Ann. Anat. Surg. Soc. Brooklyn, N. Y., 1880, ii. p. 271 [not seen], from Cat. Libr. Surg.-gen. U. S. Arm i/. 4' TEELAT, Gaz. des Hop., 1869, No. 125 [for others v. AHLFELD, Abschn. n. p. 175]. 5 WAGNEK, J., Miill. Arch. Anat. Phijs., 1861, p. 735, PI. xvii. A. 6 PODCHET, G., Jour, de Vanat. et phys., vn. p. 561, PI. xvii. 7 WATASE, S., Jour. Imp. Coll. Sci. Tokio, i. p. 247, Plates. 29—2 452 M ERISTIC VARIATION. [PART I. idt-s tin; caudal tin. tin- anal fin undergoes remarkable Fio. 141. Caudal and aiial fins of Gold-fish (Cyprinus auratu*). I. Normal tail, seen from side, r, dorsal lobe, d, ventral lobe. II. Abnormal form divided a- far as the notochord. c' r', two ventral lobes, d' d', two dorsal lobes. III. Abnormal form, tht> two ventral lobes, v' v', separate. IV. Pen- ultimate vertebra of normal Carp (''. cm-pin). «..-•, neural spine, h.s, haemal spine. Y. Penultimate \<-it.'Kra of a Gold-fish with trilobed caudal fin. h'.s', double li,-i uial .spine. VI. I Marram of transverse section through region of anal fin of normal < luld-ti-h. VII. Similar section through a specimen having the anal fin il. milled. /..•.-, interha-mul spine. /. r, tin ray. n, bony nodule, i.s', f'.r', n', corre- spniidm" part- doubled. (After WATABB.) variation. It is either median and normal ; or it may be distinctly (1'V 141. VII). are all stages of caudal and anal fins, intermediate be- tween tin- normal and the completely paired states. Thus the tail-fin with its IO\\i step in the process of doubling is seen in the case of s in which there is a slight longitudinal groove in the CHAP. XVIIL] MEDIAN DIVISION : GOLD-FISHES. 453 ventral margin of the tail-fin. This groove may be extended up through all the rays of the lower lobe of the tail, which then consists of two tails side by side. The small dorsal lobe, which lies above the notochord, is never involved in the process, but always remains single. There is therefore in this case no doubling of the axis of the body. Examination of the skeleton shews that in those fishes which have two tails the hsemal spines of the last three vertebra are longitudinally split1 and diverge to carry the two tail-fins (Fig. 141, V). POUCHET lays stress on the fact that the size of each of the paired tails is greater than that of the normal tail of a Gold-fish ; but as Watase states that in the variety "Riukin" the tail may be as long as the body, it is clear that this hypertrophy may exist without any repetition. In cases where the anal fin is doubled the process is exactly the same, resulting from a longitudinal splitting of the rays of which it is composed. This may only affect the outermost parts of the fin or may be carried up further so as to divide the inter- ha?mal spines, in which case the two anal fins arise from the body wall at separate points and diverge from each other. POUCHET, who has extensively studied the history of Gold-fishes in Europe, believes that it is almost certain that those which were brought to Europe in the eighteenth century were all more or less of the double-tailed order. He refers especially to the figure given by LlNN^EUS2 representing the double-tailed form as a normal. POUCHET states that the evidence goes to shew that this anomalous race is not maintained in China by any rigid selec- tion. He quotes a Chinese encyclopaedia to the effect that the double-tailed Gold-fish is found in running streams, and gives the evidence of KLEYN3, a missionary in China during the eighteenth century, who states that "In fluvio Sleyn Cyprini sunt qui caudam habent trifarcam et a piscatoribus Leid-brassen vocantur, quasi diceres aliorum Cyprinorum conductor es." Though the duplicity of the haemal spines may be unaccompanied by other variations it should be noticed that the extraordinary "Telescope " Gold-fish not mifrequently has also the double tail-fin. In the Telescope Gold-fish the eyes project from the orbit to a greater or less extent, in the extreme form being entirely outside the head and attached by a small peduncle only. The various forms of abnormal Gold-fishes are generally to be seen in large quantities in the shops of the dealers in aquariums &c. which abound near the Pont Neuf in Paris. One of these dealers told me that he bred considerable numbers of them every year, and that in fish from the same parents there was little uniformity, many normals being produced for one that shewed any of the extreme variations. It is recorded that of the Gold-fish hatched in Sir Eobert Heron's menagerie about two in five were deficient in the dorsal fiu and two in a hundred or rather more had a " triple" [so. three-lobed as described above] tail-tin, and as many have the anal 1 It should be observed that there is no want of original union between the haemal spines, for these close in the haemal canal as usual. The phenomenon is thus altogether different from that of spina bifida in the neural spines. 2 Fauna suecica, 1745, p. 331, PI. II. 3 KLE\N, Miss., v. p. 62, Tab. xin. fig. 1 [not seen], quoted by BASTER, Opusc. sitbsec., Harl., 1762, p. 91, note. 454 M ERISTIC VARIATION. [PART I. lin doubled. The deformed fishes were separated from the others but did not produce a greater proportion of varying offspring than the normals (Ann. -!/. }.. :,:',:<(. For a iMHj-'iiiucent series of plati/s illustrating the various forms of Gold- fishes see liii.i.AKi.ux M SATU.INY, Hist. nat. den Dorades de la Chin<-, Paris, 1780. [In Brit. Mus. cnj.y text wanting ; I do not know if it ever appeared.] Division of i/H-'li'iit structures in Coleoptera. The following list includes every case known to me. I. EPISTOME. C92. Anisoplia floricola (Lain.): Algerian specimen having the epistoiiie (chaperon) completely divided into two parts in the middle line. Attention is called to the fact that this is a normal character in certain genera of Lamellicorns, for example, Diphucephalu and Tnca, FAIKMAIKE, L., Ann. Soc. ent. France, 1849, Ser. 2, vu. Bull., p. LX. II. PllONOTUM1. In Coleoptera the pro-thoracic shield or pronotum is normally a single plate continuous from side to side. The following is a list of cases in which this structure was composed of two lateral parts. In Nos. 695 and 706 the division was not completed through the whole length of the shield. The two halves were in most cases symmetrical, but in Nos. 700 and 703 they were unequal. As is shewn by No. 704 £c., there is in these variations more than a mere fault of union between two chitinous plates, for in t his case the adjacent or inner edges of the plates were beset with yellow hairs such as occur on the anterior and posterior margins of the normal pronotum. In No. 703 again the adjacent edges of the two plates are everted and form definite margins. 693. Melolontha vulgaris (Lam.), prothoracic shield consists of two symmetrical pieces which do not meet in the dorsal middle line. The prothorax is greatly reduced in length and the head con- sequently is almost in contact with the scutellum (Fig. 142, I). KUAATZ, G., Dent. ent. Ztscltr., 1880, p. 341, PL u. fig. 8. 5 H FIG. 14'2. Mi'lnlonthti riil'inrix, the Cockchafer, two cases of division of prono- tum. (After KRAATZ. ) 1 With these cases compare the following : Hydrobius fuscipes, specimen having ]>ronotum fonued into three lobes, one being central, and two lateral. The lateral lobes projected from each side as considerable expansions. KRAATZ, G.,Dcut. cut. Zttchr., 1889, p. 22'2, fig. 21. CHAP, xvni.] MEDIAN DIVISION : BEETLES. 455 694. A male, closely similar case (Fig. 140, II., ibid., 1877, XXI. p. 57,Taf. i. Jirj. 2. 605. A male in which the pronotum was similarly divided, but the division was not quite complete. DE LA CHAVIGXERLE, Ann. Soc. ent. France, 1846, Ser. 2, iv., Bull., p. xvni., PI. II., fig. II. 69(J. An almost identical specimen (male). MocQUERYS, Coleop. anorin., 1880, p. 140, fig. [Now in the Rouen Museum, where I have examined it.] 697. Another case ; extent of division not specified. STANNIUS, Mull. Arch. Anat, Phys., 1835, p. 304. 698. Oryctes nasicornis <£ (Lam.): anterior part of pronotum divided into two parts by a longitudinal suture : posterior part of pronotum undivided. Head normal, ibid., PL V. fig. 7. 699. Onitis bison (Lam.): pronotum divided in the middle by a longitudinal suture, the lateral pieces being raised up. ibid. 700. Heterorhina nigritarsis (Lam.) : specimen in the Hope Col- lection at Oxford having the pronotum completely divided into two somewhat unequal halves, of which the left is the largest. The posterior angle of each of the pieces does not occupy its normal position, but lies internal to the outer border of the elytron. Owing to this disposition the mesothorax is exposed for a short distance on each side and for a considerable extent in the centre. 701. Attelabus curculionides (Rhyn.) : specimen of moderate size ; head, elytra and legs normal. Structure of prothorax peculiar in that the two lateral halves do not meet in the middle line, leaving betwixt them a membranous space. The prothorax is shortened and the head is pushed back into the thorax as far as the level of the eyes. The edges of the plates of the prothorax are well formed and properly finished. Scutellum present, but is not at all concealed by the prothorax. DRECHSEL, C., Stettiner ent. Ztg., 1871, xxxii. p. 205. 702. Chrysomela fucata (Phyt.) : Pronotum divided centrally into two parts, each of which is triangular. The parts of the head and scutellum which should be covered by the thoracic shield are thus exposed. KRAUSE, Stettiner ent. Ztg., 1871, xxxii. p. 137. 703. Telephorus nigricans (Mai.) : the pronotum is divided into two unequal halves. The left half is nearly twice as large as the right, and projects beyond the middle line, covering a part of the right side of the prothorax. The right portion is small and very concave. Both of these two parts of the pronotum are everted at their edges to form a definite margin. The margins are con- tinued all round each piece, and thus two margins are adjacent in the contiguous parts of the plates. This specimen was kindly lent to me by M. H. GADEAU DE KERVILLE. 704. Carabus scheidleri: thorax dorsal ly covered by two com- pletely separate and symmetrical plates, whose inner edges are beset with yellow hairs [as the anterior and posterior margins 456 MKl;l>TK' VARIATION. [PART I. normally are]. The rest of the animal was normal. KRAATZ, G., /;. .'•/. ent. Ztechr., Is7:{. xvn. p. 430, fig. 0"). Carabus lotharingus : thoracic shield divided in centre to form t\v-i triangular pieces which only unite at a single point. Th«- head is drawn back into the thorax. DUPONCHEL, Ann. Soc. ent. France, 1*41. S. 1, x. Bull., p. xx., PI. <>ii. Lixus angustatus (Rhyn.): thoracic shield partially divided, pn-s, ni a deep final filiation both before and behind [description ii"t ijiiitf clear]. DOTE, Ann. tioc. ent. France, 1851, ix. Bull., p. i.xxxn. III. Ml'TASTI.lLNAL PLATES. Rhizotrogus marginipes $ (Lam.) having the abdomen de- in a symmetrical manner. Looked at from the ventral surl'ace the met asternal plates are seen to be divided in the middle line by a deep depression so that the abdomen consists superficially of two luhe^ : these two lobes are united together in the last segment in which the metasternal plate is undivided. The two lobes are of equal size and the longitudinal depression which divides them is shewn in the figure to be regularly and sym- metrically formed. The animal is otherwise normal. [No dis- section was made.] BAUDI, L. V., Bull. Soc. Ent. Ital., 1877, ix., p. -I*}, fig. IV. l'Y<;mir.M. 70s. Melolontha vulgaris (Lam.): pygidium bifid, two cases. 'KRAATZ, (I., lk>,it. ent. /?*<•/,,:, isso, p. ' rUi', PI. II., figs. 4 and 4a; and ibid., L889, p. -2-2-2, PI. I., fig. 19. 709. ^ case °^ "double proboscis" is recorded in Sphinx ligustri. The specimen was a pupa, and through the juijial skin it could be seen that the two mandibles had uot unitril to form the single proboscis, but were divaricated. KHAATZ, l>eut. int. /.t.^-lir., issQ, xxiv., p. MI."., li-. cases <>f t//il nature. 7K). Ascidians. Pn.f. W. A. llcrdman tells me that he has several times met with Asridiaiis having a supplementary lateral atriopore. lie retail Is this as a retention of a larval character, since in the young then- are t u o at riopores which in normal individuals afterwards unite dorsally. 711 Limulus polyphemus : lai ^e .specimen found at Fort Macon, N. haviniidiii'_: halt- vertebra?, on either side of the middle line. an- not united together in their proper order, but I fear this would be too great a digression. For references on the subject see LKVKI.IM;, ul,s. anat. rarior., Norimb., 17iS7, Fsc. 1, cap. in. p. 145, Tab. v.: SANDIFOKT, J/K Ai:SK\( K OF DIVISION IX THE MIDDLE LlXE. This phenomenon is the converse of that described above. Kxamples of median union are found in many organs of different kinds. In vertebrates such union is especially well known in the case of the eyes, the ears, and the posterior limbs, producing the cyclopic, synotic and symmelian conditions respectively. Each of these is of some interest to the student of Variation by reason of the symmetry and perfection with which the union takes place. In the cyc-lopi.m the degree to which the two eyes are com- pounded presents all shades intermediate between the perfect duplicity of the normal and the state in which the eye-balls are united in the middle line of the forehead and have one circular cornea2. These variations are closely comparable with those of the eye-spots on feathers referred to on p. 449 ; for there also all stages are seen between a pair of eye-spots placed one on either side of a middle line and complete union to form one eye-spot bisected by the middle line. There is of course no normal vertebrate having the eyes thus united in the middle line, but as MECKEL has remarked, the case of the cyclopian is not essentially different from that of the Cladocera in which the compound eyes, paired in other Crustacea, are united to form a single median eye. The cases No. 718 and 719 of median union of the compound eyes of Bees may also be considered in this connexion. A very similar series of variations occurs in regard to the ears of vertebrates, which in the synotic or cephalotic condition are compounded in the middle line to a varying degree3. Such union of the ears is especially common in the Sheep, cyclopia being most frequent in the 1'iir. I > \i:r:sTi-:4 states that the first beginning of the cyclopian condi- tion appears in the Chick as a precocious union of the medullary folds in the region of the fore-brain, occurring before the optic vesicles are fully formed from it. The degree to whu-h the union of the eyes is complete then depends on the earliness with which the folds begin to meet relatively to the time of budding off of the optic vesicles. DARESTES also declares that the cephalotic state is similarly first indicated by a premature union of the folds in the region of the medulla, taking place 1 A ease in Man, resembling No. 7. • For an extensive collection of cases illustrating the various degrees of cyclopia sec especially AIILFKLH, Mi.mh. AN, Mounts, f. Gebitrt.il;.. \. p. 170, PI. i. (Man) and many more. 4 Compti'K n-ndn*, 1*77, i.xxxiv. p. 1(138. f> /. c., 1880, xc. p. 191. CHAP. XVIII.] MEDIAN UNION : KIDNEYS. 459 before this part of the brain has widened out. In this way the auditory involutions are approximated. This account however cannot apply to all cases of union of ears; for the compounded ears are sometimes on the ventral side of the neck, as in Guerdan's case1. The body of the symmelian ends posteriorly in an elongated lobe made up of parts of the posterior limbs compounded together by homo- logous parts. The two femora are usually united to form a single bone, the tibise are separate and the two limbs are again compounded in the tarsal region. The axial parts posterior to the hind limbs are always greatly aborted2. Union of the kidneys in the middle line (Fig. 146), forming the " horse-shoe kidney " of human anatomists, is a similar phenome- non. As to the mode of development of this variation I know no evidence. Usually the kidneys together form a single horse-shoe shaped mass of glandular tissue, the union being posterior3 ; very FIG. 146. Kidneys united in the condition known as "horse-shoe" kidney (Man). In this specimen there were three renal arteries on each side. (From Guy's Ho*p. Rep., 1883.) 1 See note 2, p. 458. 2 See especially, MECKEL. Arch. Anat. Phys., 1826, p. 273 ; GEOFFROY ST HILAIRE, Hist, des Anom., ed. 1837, n. p. 23; GEBHARD, Arch. Anat. Phys., 1888, Anat. Abth., p. 164 (good fig.). To the determination of the morphology of the hind limb the structure of the symmelian monster is of unique importance, but I do not know that it has had the notice it deserves from comparative zoologists. From the manner of union of the parts of the two limbs may be obtained a positive proof of the morphological relations of the surfaces of the two limbs to each other. In a symmelian the feet are united by their fibular borders, the minimi being adjacent, the halluces exterior, and the combined plantar surfaces ventral. The great trochanters are dorsal, being often united into one in the dorsal middle line, and the patella are also dorsal, being also not rarely partly compounded. From these facts, even were other indications wanting, we have a proof that if the hind limbs were laid out in their original morphological relations to each other (as the tail-fins of a Crayfish may be supposed to be) the halluces would be external and anterior, the minimi internal and posterior, the flexor surfaces of the thigh and crus and the plantar surface of the (human) foot would be I'entral and the extensor surfaces of the thigh and crus and the dorsum of the (human) foot would be dorsal. This is of course affirmed without prejudice to any question of phylogeny ; but that these must be the ontogenetic relations of the parts is clearly proved by the symmelian. 3 Sometimes anterior, e.p. ODIN, Lyon med., 1874, No. 12 [from Canstatt's Jahresb., 1874, i. p. 19] ; and FREUND, Beitr. z. Geburtsh. u. Gyn., iv. 1875 [from Canstatt's Jahresb., 1875, p. 340]. 4GO MKKIsTir VARIATION. [PART i. ran-ly the posterior ends of the kidneys are joined by a bridge of ligamentous t issue1. A ivmarkablr case, iii which the union of the two kidneys was very rmiij,],-!.- ami only indications of duplicity remained, is given by PlCHANCOURT, Gaz. hebd., 1879, p. 514. Illustrative Cases. To these familiar instances are added a few less generally known. *71~>. Capreolus caprea (Roebuck): specimen having the two horns compounded in tin- middle line, forming a common beam for almost tin- lower half of tin' hum (Fig. 147). This specimen was exhibited uniting a large series of abnormal horns in the German Exhibition hfld in London 1891. Casts of it are in the Brit. Mus. and Camb. Univ. Mus.'. FIG. 147. A Roebuck d',ii>r,'olits caprea) No. 705, having the horns com- pounded to form one. 7 1 <;. Limax agrestis : specimen having the upper tentacles united into one in the middle line. The eyes were paired as usual. KOUBES and HAXLKY, Hist. Brit, Moll, iv. p. 288 and I. PI. JJJ, fig. 4. 1 See GIU-BI it, Vin-h. Arch., 1865, xsxii. p. 111. ! The original is at Darmstadt. CHAP, xvm.] MEDIAN UNION: EYES. 461 717. Helix hispida : specimen in which the tentacles were united together. They were adherent throughout, excepting for a slight cleft at the end, about one line in length. A shallow longitudinal suture was visible between the two. The animal and shell were otherwise normally formed. ROBERTS, Gv Science Gossip, I88(j, xxii. p. 259. *71S. Apis mellifica (Honey-bee): a worker having the two com- pound eyes continued up so as to unite on the top of the head (Fig. 148). The union between the eyes of the two sides was com- plete. There was no trace of any groove or division between them and the resulting structure was perfectly symmetrical. In a normal the three simple eyes are arranged in a triangle between CE— -^ FIG. 148. A worker Bee (Apis mellifica) No. 708, having the two compound eyes united across the middle line, seen from in front, and from the side. CE, the united compound eyes. Oc, a single structure representing the three simple eyes of the normal. (After STANNIUS.) the upper edges of the compound eyes, but in this specimen they were united into a single structure which was symmetrically placed in the middle line in front of the united compound eyes (Fig. 14S, Oc). The body thus formed by the union of the simple eyes was a round projection beset with long yellowish hairs. In a normal male the compound eyes are much larger and are in contact with each other at the top of the head, but the division between them is sharply defined. In a normal worker, however, the compound eyes are widely separated. The facetting and the hairs on these eyes were normal and the animal was in all other respects properly formed. STANNIUS, Mutter's Arch, Anat. Phys., 1835, p. 297, PI. '719. Apis mellifica having the compound eyes completely and symmetrically fused. This individual was either a young and abnormally developed queen, or else a worker. Its struct mv was in several respects abnormal. The third pair of legs are like those of the workers, as is shewn by the structure of the first joint of the tarsus, the brush of hairs on the outside of the leg is not so 4<;i2 MKRISTIC VARIATION. [PART I. much develop^ I as in tin- \v<>ik.-ix and this feature suggested that perhaps the .-pecinien mav !>•• a \oimg and abnormal queen. The abdomen i- -mall and seems to have been arrested in its develop- ment, but its -hape i< that of the abdomen of the workers. The Las1 segment «>f the abdomen is elongated, triangular, and slightly '_M'oo\ed in the middle of the posterior border, so as to permit the pa-sage of the stiir_r. The wings are more like those of a queen or worker than iho-e of a male; for in the latter they generally greatly exceed the abdomen in length. The thorax is Hnall, narrow, and cont raeted more than in the normal form, being also !' sfi convex. The -pare between the wings is less than in a fully de\ doped bee. The antenna? are mutilated, but seem to have been normal: but th--ir last joints are slightly reddish brown as they are in females, whether workers or queens, and not black as tiny are in drones. The two compound eyes were completely fu>ed together in the middle line, across the place in which the -imple eyes ought to be found. The simple eyes are not present at all. LUCAS, H., Ann. Soc. Entom. France, S. 4, vm. 1868, p. 7:i7, PI. CHAPTER XIX, BILATERAL SERIES — continued. FURTHER ILLUSTRATIONS OF THE RELATIONSHIP BETWEEN RIGHT AND LEFT SIDES. I. Variations in Segmentation of the Ovum of Loligo. The following facts, taken from WATASE1, are introduced in further illustration of the mode of occurrence of bilaterally symme- trical M eristic Variation. *720. Loligo pealei. In the blastoderm the nucleus is placed eccen- trically, being rather nearer to the posterior pole, as shewn in Fig. (i.t: a.r.' 2 2 p.r. pV. FIG. 149. Diagrams illustrating variations in segmentation of a Squid. (Loligo pealei). I. Normal uusegmented ovum. ?;, the nucleus eccentrically placed. A, anterior. P, posterior. L, left. E, right. II, III, and IV. The shaded portions shew areas in which in some specimens nuclear division was precocious. V. In the two shaded areas triasters occurred in one specimen. VI. The hlastomeres of the shaded areas in one specimen were not divided from each other. 1, 2, 3, successive planes of division, ar, anterior right quadrant, pr, posterior right quadrant. ar', pr', etc. areas separated off by the third segmentation-furrow. (After WATASE.) 1 WATASE, S., Jour, of Morph., rv. 1891, p. 247, Plates. 4G4 MERISTIC VARIATION. [PART i. I, I. The first furrow, 1, 1, divides the blastoderm into two halves and corresponds with the future longitudinal middle line. The second furrow, '2, 2, is at right angles to this, dividing the blastoderm into anterior and posterior halves, and the third furrow, 3, 3, pa>se> ae .-hewn in Fig. 14!), V. In the subsequent segmentations various irregularities were seen in single eggs, some of the variations being bilaterally sym- metrical while others were confined to a particular half or to a particular quadrant. For example, in some ova the nuclei of the <-ells formed from the left half of the blastoderm, excepting those next the median axis posteriorly (Figs. 149, II and 150, I), began to divide before those of the right side and reached an advanced stage of karyokinesis while the nuclei of the right half were still resting. The nuclei of each half kept time very nearly (for details see original figures). This curious variation was seen in three ( perhaps four) ova all taken from one mother. In another the nuclei of the two anterior quadrants al, ur, in their divisions kept ahead of those of the posterior quadrants. Fig. 149, IV. represents an ovum in which the nuclei of the right posterior quadrant on the contrary divided before those of the 3 other quadrants. Another variation is shewn in Figs. 149, VI and 150, II. There the four blastomeres shaded had either been never fully divided from each other or had subsequently fused together symmetrically on each side. FIG. 150. Variations in sefjmrnkitinn of ovum of Loligo pealci. I. Case in which the nuclei of cells of the left half of the blastoderm began to divide pre- cociously. II. Case in which the blastomeres of the areas ar' and al' were uot distinct from each other. (After WATASE.) Fig. 149, V, illustrates another remarkable Meristic variation which symmetrically affected the portions shaded. In both of these shaded segments the nuclei divided into three by triple karyokinesis, forming " triasters." CHAP, xix.] LATERAL HOM(EOSIS. 465 II. Homoeosis in cases of normal Bilateral Asymmetry. In proportion as an animal is bilaterally symmetrical the right side is an image of the left. Nevertheless in many substantially symmetrical forms there is asymmetry in the condition of some one or more organs present on both sides. (This asymmetry, in the cases to be considered, is of course distinct from that due to asymmetrical disposition of unpaired viscera, such as the heart and liver of vertebrates, &c.) In several of these cases there is evidence that both sides may on occasion assume the form normally proper to one only. Some one will no doubt be prepared with the suggestion that these variations are reversions : with this suggestion I shall deal after the facts have been recited. Spiracle of Tadpole. 7-1. Pelobates fuscus : a tadpole, 7 cm. long, having two spiracles symmetrically placed (Fig. 151), one on the right side and the other on the left1. [No details given.] HERON-ROVER, Bull. soc. zool. Fr,, ix. Fiu. 151. A tadpole of Pelobates fuscus, having, as a variation, two spiracular openings, No. 721. (After HERON-KOYER.) 1884, p. 162,^. [In the normal there is only one spiracle, that of the left side. In Pipa and Dactylethra two spiracles are normally present. See WYMAN, Proc. Bost. N. H. $., ix. p. 155; WILDER, Am. Nat., 1877, xi. p. 491 ; BOULENGER, Bull. soc. zool. Fr., 1881, vi. p. 27. Tusk of Narwhal. 722. Monodon monoceros (Narwhal). In normal males the left tusk alone is developed while the right remains abortive in its alveolus. In the female both tusks are in this rudimentary condition. No reliable record (1871) of a specimen having the right tusk only developed, but in eleven cases from various sources the two tusks were both developed, and in several of these the two were of about equal length. The normal asymmetry of the skull is not affected by the presence or absence of the teeth. CLARK, J. W., P. Z. S., 1871, p. 42, Jigs, (full literature); see also TURXER, W., Jour. Anat. Phys., 1871, p. 133 and 1874, p. 516. Ovary and oviduct of Fowl. It might be anticipated that development of the right ovary and oviduct in birds would be a frequent form of Variation, but as a matter of fact very few such cases are recorded. In consideration of 1 In the same place is recorded a case of a tadpole of this species having the spiracle on the right side instead of the left, perhaps a case of situs inversus. B. 30 466 MERIST1C VARIATION. [PART i. the large numbers of birds, wild and domesticated, annually dissected in laboratories it may perhaps be concluded that these variations are exceedingly rare1. 723. Hen having a small right ovary in addition to the left ovary. The left oviduct was normal, but the left ovary was partially transformed into sacculated tissue. [Full histological details of the structure of both ovaries given.] The hen had partly assumed the plumage of the cock, having four sickle-feathers and other characters proper to the male. BRANDT, Z.f. w. Z., XLVIII. 1889, p. 134, Pis. 724. Hen li;i \ ing a normal left oviduct and in addition a partially developed right oviduct which formed a large thin-walled cyst dis- tended with gas. C. S. M., Ter. Cat., 1872, 455. Proboscis-pore of Balanoglossus and water-pores of larvcv of Asterias. *725. Balanoglossus kowalevskii. The anterior or proboscis-body- cavity is continued backwards into the proboscis-stalk as two hollow horns. In this and most other species the left of these alone acquires an opening to the exterior at the proboscis-pore. In B. kupfferi alone there are two such pores, one opening into each of the two horns2. A specimen of B. kowalevskii in which both horns thus opened to the exterior was seen by MORGAN, T. H., Jour, of Morph., 1891, v. p. 442. 726 Asterias vulgaris. The Bipinnaria larva as commonly seen ' resembles the usual Tornaria in having a left water-pore only. In several larvse 3i to 4 days old the presence of two such water-pores, a right and a left," symmetrically placed, has been observed by FIELD and BROOKS. The right pore subsequently closes. This condition is be- lieved by Field to represent not a variation but a normal phase of development [though further confirmation is needed]. FIELD, G. W., Q. J. M.S., 1893, xxxiv. p. 110, PL xiv. figs. 22 and 23. Variations in Flat-fishes. A curious series of variations bearing on the relations of the right side to the left occur in Pleuronectidse. The evidence on this subject was collected by SxEENSTRUP3 in 1863. Flat-fishes are normally coloured on the upper side and are without chromatophores in the skin of the lower side4. Variations in colour occur in two ways : the upper side may be white like the lower, or on the contrary the lower side may be coloured like the upper. The former change cannot well be distinguished from other cases of albinism5 and does not call for special notice here. 1 In view of the cases of the Crayfish and the Cockroach mentioned in the Preface, much stress cannot be laid on this consideration. 2 SPENOEL, J. W., Mitth. zuol. Stut. Xeap., 1884, v. p. 494, PL xxx. fig. 2. 3 STEENSTRDP, Orers. k. Duitxl;. i'i Evidence collected by STEENSTUCP. GOTTSCHE (Arch. f. Naturg., 1835, n. p. 139) states that P. plntt'*.«t is uot rarely wholly white on both sides. I have never CHAP, xix.] FLAT-FISHES. 467 The converse variation, by which the lower side assumes the colour of the upper side is important in several aspects. Interest has of late been drawn to this subject especially through an experiment recently made by CUNNINGHAM l, who found that of a number of young flat-fishes reared in a vessel illuminated by mirrors from below, some became partially marked with pigmented patches on the lower side. The suggestion was made that this pigmentation was induced by the direct action of light. It is of course impossible here to enter into the theoretical questions raised in connexion with this subject and this account will be confined to description of the colour-variation as seen in nature and of the singular variation in structure commonly associated with it. Mr Cunningham has obligingly advised me in connexion with this subject. Pigmentation of the lower side has been seen in Rhombus maximus, R. Icevis, Pleuronectes flesus, P. platessa, P. oblongus, Solea vulgaris [?] and probably other forms. Attention is drawn to one feature in these changes which from our standpoint has an important bearing. When the underside of a flat-fish is pigmented, it is often not merely pigmented in an indefinite way but it is coloured and marked just as the upper side is. There are, I know, many specimens upon whose undersides a brownish yellow tint is either generally diffused or restricted to patches, but when there is pigment of a deeper shade, as in all the well marked cases of the variation, the colour and markings are closely like those of the upper side. For example, a Plaice (P. platessa) sent to me by Mr Dunn of Mevagissey is fully coloured over the posterior half of the lower side ; but there is not merely a general pigmentation, for the coloured part of the lower side is marked with orange markings exactly like those of the upper side. More than this : it was found by passing pins vertically through the body that there was in the case of most of the spots a close correspondence in position between those of the upper and those of the lower side. There were 13 spots on the coloured part of the lower side, which extended slightly beyond the line of greatest width. Of these, 13 spots on body and fins coincided exactly with those of the upper side ; 2 coincided nearly ; 2 were not repres- ented on the upper side ; and 2 spots of the upper side were not represented on the lower. From these facts it is clear that in " double " flat-fishes we have an instance of symmetrical variation of one half of the body into more or less complete likeness of the other half, resembling other cases of Homoeosis in Bilateral Series already noticed. This is made the more evident by the fact that in the two best described specimens of "double" Turbot (No. 727) not merely did the lower side resemble the upper side in point of colour, but upon it were also present the bony tubercles normally proper to the dark side, being only slightly less well developed on the lower side than on the upper. succeeded in seeing an entirely white specimen, though individuals partially white on the upper side are not rare. See also Zool, pp. 4596, 4914. Zeugopterus puncta- tus white on both sides, DAY, Brit. Fishes, n. p. 19. 1 CUNNINGHAM, J. T., Proc. Roy. Soc., 1893. 30—2 168 MKRISTir VARIATION'. [PART i. (Such a development of tuln-rcles1 on the lower side may however occur without any con-flati-d rliange of colour.) It is also stated that in tin- "douhle" turl.nts tin- muscles of the lower side are thicker than tln-y normally a iv, thus approximating to the upper side, a feature that may be taken as an indication that the manner of swimming is dillerent from that of normals. A tlat-tish having pigmentation on the lower side does not necessarily j>iv>ent any other abnormality2. The Plaice, for in- stance, just mentioned, was, colour apart, quite normal. But some specimen^ of Hat-fishes darkly coloured below present in addition a very singular structural variation. This consists essen- tially in the presence of a notch of greater or less depth occurring belcro tin anterior end of the dorsal tin above theeye (Fig. 152). By I his cleft the anterior end of the dorsal fin is separated from the l>aek of the head and is borne on a process or horn project- in -• anteriorly so as to continue the contour of the body above the FICJ. 152. Head of a Brill (lUm/nlni* he via) having the dorsal fin separated from the head as described in the text. (From YAIUUXL.) 1 The literature relating to discontinuous variations consisting in the presence of bony tubercles upon the blind side of Khombi is extensive. See especially ' DEMIDOFF, Voy. dan* In Huxxif Mi'rid., 1840, in. p. 534, Pis. 28, 29 and 30. STEINDACHNER, Sitzb. Ah. H7.->. !!'/,«, 1868, LVII. (1), p. 714. EATHKE, Mem. Ac. Sci. 1','t., 1837, in. p. 349. GPNTHEB, Cat. llrit. Mit.<. l<'ix)i,>x, iv. p. 409. These -• will not be confounded with those of supposed hybrids between R. ma.rimus and /,'. /, which hear upon both sides scales of various sizes. - I know no detailed description of a flat-fish wholly pigmented on the underside, having the dorsal fin normal, but numerous authors (Gottsche, Duhamel, &c.) make mention of such cases. Since this chapter was written 1 have seen two recent papers on the subject by GIARD (Comptt-s reml. Si><\ 1:/<>I. , Is;i2, S. (.t, iv. p. 31 and Nut. ,SV/., IS'.IH, p. 356) contributing furtla-r ovideuce on the subject and giving new cases in the Turbot. According to (liard, of tlounders (/'. //<.-•(/.-•) at Wimeruux 3 °/0 are fully coloured on the blind side, in addition to many that are piebald. This must be a very much higher proportion of abnormal specimens than is found in English fisheries. CHAP, xix.] FLAT-FISHES. 4G9 head. STEEXSTRUP states that the variation has, he believes, been observed in all flat-fishes1 except the Halibut (Hippocjlossus). In several but not all cases of this abnormality the eye belong- ing to the lower side was not placed in its normal position on the upper surface, but stood in an intermediate position on the top of the head, so that it could be partially seen in profile looked at from the " blind " side. It seems possible that the pigmentation of the " blind " side is in some way correlated with some abnormal delay in the shifting of the eye and a consequent continuation of the power of receiving visual sensations from this side. The abnormality of the dorsal fin is in accordance with this suppo- sition. To understand the nature of this condition it must be remem- bered that the form of the flat-fish is derived from the usual " round " form by two principal changes. (1) By a twisting of the head the eye is brought over from the blind side to the upper side. (2) The dorsal fin is extended forwards above the eye thus shifted ; for as STEENSTRUP and TuAQUAiR2 have shewn, this anterior extension of the dorsal fin is not in the morphological middle line. It is in fact an anterior repeti- tion of the series of dorsal fin-rays along the new contour-line of the body, and occurs irrespective of the fact that the tissues with which it is there associated are not median at all. STEENSTRUP and TRAQUAIR shewed plainly that it is insufficient to suppose that there is a twisting of the head, for this does not explain the presence of the dorsal fin in the position in which it is found, curving along that which was once the side of the head. Traquair sug- gested that these relations could be attained by two processes; (1) a twisting of the head so as to bring over the eye from the future " blind " side, and (2) a forward growth of the dorsal fin along that which is then the upper contour-line of the head. These processes have now been actually seen by AGASSIZ* in several PleuronecticUe. The first observation of a specimen at the stage when the eye is on the top of the head and the dorsal tin is not yet extended, seems to be that of MALM* and there can be little doubt that the normal development proceeds in this way5. It has been pointed out by many writers that if the upper eye were to remain in an intermediate position on the top of the head, and the dorsal fin were then to grow forwards, arching over it, the condition of these abnormal forms would be reached. That this is what has actually occurred in them seems likely. A number of difficult questions are thus raised as to the histological 1 The evidence as to the Sole seems to be doubtful (v. infra). '-' TRAQUAIR, Trans. Linn. Soc., 18(55, xxv. p. '263. 3 AGASSIZ, Proc. Amer. Ac. Sci. 1878, xiv. p. 1, Pis. 4 MALM, (Efvers. k. Sven. Vet. Ac., 1854, p. 173, see Ann. the other. This was first observed by S'TEEXSTRUP, and afterwards by AGASSIZ in great detail and the fact can hardly now be questioned. This mode of development is peculiar to " Plagusia," though when Steenstrup wrote he expected that the same would be found to occur in other Pleuronectidfe. 470 M ERISTIC VARIATION. [PART I. processes by which the dorsal fin comes to stand where it does. \Ve are accustomed to think of the repetition of the fin-rays as being an expression of the fundamental segmentation of the trunk, accessory to it no doubt, but still of the same nature and histologically dependent upon it. The extension of this repetition along the morphological side of the face is thus an anomaly. Further comment on the nature of the variation will be made after the chief cases have been given. *727. Rhombus maxirnus (Turbot). Two specimens respectively 9 in. 9 lines and 7 in. G linos in length, 7 in. 6 lines, and 5 in. 6 lines broad. Both sides of a similar coffee-brown colour. The smaller had a yellowish white spot, about 1 in. square, on the operculum of the lower side. The colour was more uniform than usual and the dark spots normally found on the fins of the Turbot were absent. Both sides irregularly beset with horny tubercles, only slightly more developed on the upper than on the lower sides. Fine scales were also found deep in the skin of both sides. All fins except the dorsal were normal in form and position. The dorsal fin was anteriorly detached from the head, being borne on a horn-like projection. The separation between the head and dorsal fin was continued backwards as a semi-circular notch to a level behind the eyes. Upon many of the fin-rays of the dorsal, anal and caudal fins there were 1 — 7 small knotty elevations of the size of poppy-seed. In the smaller specimen these elevations were smaller, and on the caudal fin absent. The left eye had its normal posi- tion, but the right eye [of "blind" side] was placed on the top of the head, but in such a position that it could scarcely have seen any thing not directly over it. [See further details given.] SCHLEEP, I sis, 1829, p. 1049, PL in. Similar specimen Coucn, Fishes Brit. IsL, in. p. 157. Dried speci- mens in Brit. Mus., Newcastle Mus., &c. *728. Very good figures of such a Turbot are given by DUHAMEL DU MONCEAU (Traite general des Pesches, 1777, in. Sect. IX. p. 262, PI. ill. figs. 3 and -i). The under side was of nearly the same colour as the upper and the tubercles generally found on the upper side only were present on the lower side also, though of smaller size. A slight notch separated the dorsal fin from the head; but the upper eye is figured as in its normal place, not being on the top of the head, and it would of course be invisible from the " blind " side. [This important case is referred to by STEENSTKUP, but seems to be unknown to others, who attribute the separation of the dorsal fin to the persistence of the eye on the top of the head.] 729. A young turbot, similarly coloured on both sides, having the eyes still symmetrical, swimming on edge, is figured by McIxTOSH, Fishes of St. Andrews, 1875, PI. vi. figs. 5 and G. Prof. Mclntosh kindly informed me that these "double" individuals swim on edge much longer than usual. 730. Rhombus lacvls (Brill). Specimen presenting similar characters. The lower (rt.) side of a uniform dark colour with exception of a white patch on operculum. The right pectoral fin was whitish. The under side was rather darker than the upper and the mottling present on the upper side was entirely absent from the uuder side, which was without marking or spot. This is very probably a post- CHAP, xix.] FLAT-FISHES. 471 mortem change. Eight pelvic fin dark, but the left was whitish, speckled with black. Nostrils normal. The eye of the right (blind) side was placed almost entirely on the left side, but not completely so, for it could be seen to some extent in profile from the right side. The notch separating the dorsal fin from the head was rounded, and extended to about the level of the posterior margin of the left eye. There were about 6 chief fin-rays borne by the prominence above the eye. The fish seemed to be in all respects healthy and well grown. Paris Mus., numbered ^90^:310. [This specimen was kindly shewn to me by Prof. Vaillant.] Similar specimen, also having white patch on operculum DUHAMEL DU MONCEAU, I. c. See also Fig. 152, from YARRELL, Brit. Fishes, 3rd ed., i. p. 643. The specimen described by DONOVAN (Brit. Fish., 1806, iv. PI. xc.) under the name "Pleuronectes cy clops" was in Steenstrup's opinion a young Brill having this variation. In this specimen the right eye is seated on the top of the head and is seen in profile from the right side. The right side was coloured like the left, but was not so dark. The dorsal fin began behind the right eye. This specimen was found in a rock-pool "iuveloped in a froth" said to have resembled cuckoo-spit. 731. Zeugopterus punctatus (Miiller's Topknot). This fish is very liable to mal- formations of the anterior end of the dorsal fin, causing it to form an arch over the eyes. YARRELL (quoting COUCH), Brit. Fish., 3rd ed., i. p. 648. 732. "Platessa oblonga" De Kay (American Turbot) ; specimen having both sides darkly coloured ; upper eye placed on the top of the head ; dorsal fin separated by a notch. STORER, Mem. Arner. Ac. Set., vin. p. 396, PI. xxxi. fig. 2 b. 733. Pleuronectes platessa (Plaice) : specimen completely and similarly pigmented on both sides far from rare. In a specimen thus coloured the ' tubercula capitis ' were as strongly marked on the one side as on the other. In several examples the anterior end of the dorsal fin was separated from the head, GOTTSCHE, Arch. f. Naturg., 1835, n. 1, p. 139. 734. Pleuronectes flesus (Flounder) : several specimens found at Birkenhead, having a deep notch of this kind above the eyes. These fishes were 'very dark brown (almost black) on both sides.' In the length of the fins these examples differed somewhat from the Flounder, HIGOINS, Zoologist, 1855, p. 4596, fig. Specimen of this kind figured by TRAQUAIR, Trans. Linn. Soc., 1865, xxv. p. 288, PI. xxxi. figs. 8 and 9. See also NILSSON, Skandin. Fauna: Fiskarna, Lund, 1855, p. 621 ; COUCH, Brit. Fishes, 1864, in. p. 198. /35. Solea vulgaris. Many authors mention Soles coloured on both sides, but I know no good description of one. YARRELL (1. c., p. 669) says "we have not seen the Solea Trevelyani of Ireland (Sander's News-letter, 16th April, 1850). It is dark-bellied and is described as bearing a projection on the head like the monstrosity figured on p. 643." DUHAMEL DU MONCEAU (I. c., PL i. figs. 3 and 4) represents a sole darkly coloured on both sides. The dorsal fin is shewn in its normal state, not separated from the head. No special description is given, and as the author does not state that he had himself seen such a sole the figure was perhaps not drawn from an actual specimen. A sole with the under side piebald is described in Zool. x. p. 3660. In connexion with this evidence STEENSTRUP refers to a small flat- fish, Hippoglossus pinguis, found in a few localities in Scandinavian waters, having a form almost intermediate between a "flat" and a "round" fish. The eye of the "blind" side is exactly on the top of the head and can be seen in profile from the blind side. The blind side is nearly as muscular as the upper side, and its skin is yellowish-brown in colour and is only slightly paler than that of the upper side. The dorsal fin begins behind the eye, not arching over it. Steenstrup looked on this creature as representing in a normal form the "double" condition presented as a variation in the cases we have been speaking of. See description and figures in SMIT'S edition of FRIES, EKSTROM and SUKDEVALL'S Hist, of Scand. Fishes, 1893, pp. 416 and 417. SMIT makes a new genus, Platysomatichtliys, for this animal. 172 MKRISTIC VARIATION. [PARTI. ('"in meat on tJie foregoing cases. In tin- cases preceding many will no doubt see manifest examples of !:• version. Tli'i'- U . in which this view must be true, for it can s.-.-uv.-ly be questioned tli;it if we had before us the phylogenetic series through \\hi.-h ill.- Flat ti>li.-s, the Narwhal, ic. are descended, it would be seen ili.it each did at some time have a bilaterally symmetrical an. -.-tor. Hut. f, ,r all that, in an unqualified description of the change at i reversion tin- siirniticance of the facts is missed. By the state- ment that a LMV.-II variation is a r>-\ crsion it is meant that in the vary- ing individual a form, once the normal, n -appears. The statement more- over is e.-p.-ciallv intended to imply that the definiteness and magnitude of the .--t.-p t'min normal to variety is due to the circumstance that thi- varietv was mice a normal. It is meant, in fact, that the great- tie,, of the modern change can be explained away by the suggestion that in the pa>t, the form now presented as a variation, was once built up I'V a gradual evolution, and that though in its modern appearance there is Discontinuity, yet it was once evolved gradually. Now the attempt to apply this reasoning, especially to the case of the "double" Flat-fishe-, leads to difficulty. We may admit that in so far as the varietio are bilaterally symmetrical they represent a normal. Their bilateral symmetry, as a quality apart, may be an ancestral character, if any one is pleased so to call it. But that in the contem- porary resumption of a I >ilateral symmetry we have in any further sense a reappearance of an ancestral form is very unlikely. I irst it might be fairly argued that it is improbable that there was ever a typical Ilat-tish ha\in.L,r <>n finfh sides the peculiar pigmentation of the PI-CM -nt upper sides of the Pleuronectida? of our day. Such a creature would !>«• highly anomalous. But even if in strictness we forego the assumption that since the evolution of Flat-fishes there has never been an ancestor fully pigmented on both sides, there still remains the dilliculty that each species may in the "double" state have upon its lower side the >•/».•///.- colour proper to its own upper side. A notable instance of this has been mentioned in the Plaice (p. 467); and here not only was the pigmentation of the lower side, as far as it went, like that of the upper, but the spots were even almost bilaterally symmetrical. It is true that the lower side does not in every case copy the upper in colour, but it HHII/ do so; and, in proportion as it does so in different species, so far at least are the changes not simply revers- ions; fur the several patterns of Turbot, Plaice «fcc. are mutually ex- clusive and it can hardly be supposed that each species had separately a "double"' ancestor having the present specific pattern on both sides. The outcome of this reasoning is to shew that the hypothesis of Reversion in the strict sense is an insufficient account of the actual variation in these Flat-fishes, and in the production of these varying forms there is thus a Discontinuity over and above that which can be ascribed to Reversion. The facts stated in connexion with the Plaice (p. 4G7), especially the symmetry of the spots, probably indicate the real nature of this Discontinuity, and raise a presumption that in the new resemblance of the lower side to the upper we have a phenomenon of Symmetry resembling that Homoeosis shewn to occur between parts in CHAP, xix.] LATERAL HOMCEOSIS : COMMENT. 473 Linear Series. In the Flat-fish the right side and the left have been differentiated on different lines, as the several appendages of an Ar- thropod have been, but on occasion the one may suddenly take up all or some of the characters, whether colour, tubercles or otherwise, in the state to which they have been separately evolved in the other. "What may be the cause leading to this discontinuous change we do not know. That it is often associated with a dchiy in the change <>t' position of the eye of the "blind" side seems clear from the frequent detachment of the dorsal fin in these cases. But it should be borne in mind that even in such examples the eye may still eventually get to its normal place, though probably it was delayed in the process and so led to detachment of the fin. Taken with the fact that the young " double " turbots swim on edge longer than the normals it must be concluded that the bilateral symmetry of colour is associated with reluctance or delay in the assumption of the asymmetrical state, but more than this cannot be affirmed. I do not urge that the same reasoning should be applied in other cases, but the possibility must be remembered. In the Narwhal, for instance, it is perhaps unlikely that there was ever an ancestor which had two tusks developed to the extent now reached by the left tusk of the male ; but if there ever were any such form, it is hard indeed to suppose that it could have been connected with the present species by a series of successive normals in which the right tusk gradually diminished while the left was of its present size. On the whole it seems more likely that when the right tusk now develops to be as long as the left, it is taking up at one step the state to which the left has been separately evolved. However this may be, the fact that such Homoeosis is possible should be kept in view in considering the meaning of such cases as that of a Tornaria with two water-pores. For while on the one hand we may suppose that Balanoglossus kupfferi with its normal pair of water- pores is the primitive state and that the varying Tornaria is a revers- ion, on the other hand B. kupfferi may be a form that has arisen by a Homceotic variation from the one-pored form, and of this variation Bakmoglossus No. 725 may be a contemporary illustration1. 1 The following interesting example of a similar Variation has appeared since these pages were set up. Eledone cirrhosa : specimen having not only the third left arm developed as a hectocotylus, as usual, but the third right arm also. The right had 57, the left 66 suckers, but otherwise they were alike. APPELLOF. A.. Bergens Museums Aarbog, 1893, p. 14. CHAPTER XX. Si;i>KUNUMKi; AKV APPENDAGES IN SECONDARY SYMMETRY. INTRODUCTORY. — THE EVIDENCE AS TO INSECTS. i >F nil classes of Meristic variations those consisting in repeti- tion ,,r division of appendages are by far the most complex and the most difficult to bring into system. There is besides no animal which normally presents the condition seen in the varia- tion- about to be described, though there may be a true analogy between them and phenomena found in colonial forms. It has nevertheless seemed well to introduce some part of this evidence In iv t<»r two reasons. First the subject is a necessary continuation of in.' evidence as to digits, which would otherwise be left incom- plete ; secondly it will be shewn that though many of the cases are irregular and follow no system that can be detected, there remain .i large number of cases (being, indeed, the great majority of those thai have been well studied) whose form-relations can be put in terms of a simple system of Symmetry. Thus not only are we introduced to a very remarkable property of living bodies, but also the way of future students of Variation may be cleared of a mass of tangled facts that have long been an obstacle ; for on apprehen- -ion lit' i he system referred to it will be seen that cases of repeti- tion in Secondary Symmetry are distinct from those of true Variation within the Primary Symmetry and may thus be set apart. Armtif/enient of cridence as to Repetition of Appendages. In the first instance I shall give the evidence as to Secondary S\ nmiet i ies in Insects and Crustacea, prefacing it with a prelimin- ary account of the system of Symmetry obeyed by those cases which I shall call re•!( ha\e these essentials been adequately ascertained. For brevity I >hall il. -scribe the phenomena as seen in extra leg-. Tli.- same description will apply generally to the antennae. Recorded cases «l' .-xtra palpi are very few, but probably are not materially different. Structure of Paired Extra Legs. "I'ln- part- composing extra legs do not as a rule greatly differ from those of tin- normal legs which bear them. Though in many instances extra legs are partially deformed, they are more often fairly good copies of the true leg. Not rarely the extra parts are more slender or a little shorter than the normal appendage, but in form and texture they are real appendages, presenting as a rule the hairs, spurs, &c. characteristic of the species to which they belong. The in- xt point is especially important. The parts found w i. r(rd h'l/x are those parts which are in the normal leg peripheral t<> Ilif fiuint from which the extra legs arise, and, as a rule no more. Though in extra legs parts may be deficient or malformed, st mi-hires which in the normal leg are central to the point of origin of the extra legs are not repeated in them1. For instance, if the extra legs spring from the trochanter they do not contain parts of the coxa, if from the second tarsal joint, the first tarsal joint is not represented in them, and so on. Extra legs may arise from any joint of the normal leg, and are not much commoner in the peripheral parts than in the central ones, but there is a slight preponderance of cases be- ginning from the apex of the tibia. It is rather remarkable that cases of extensive repetition are not much less rare than others, the contrary being for the most part true of the limbs of vert- ebrates. It does not appear that extra legs arise more commonly from either of the three normal pairs in particular. Supernumerary legs of double structure are sometimes found as two limbs separate from each other nearly or quite from the point of origin, but in the majority of cases their central parts may be so compounded together that they seem to form but one limb, and the essentially double character of the limb is not then conspicuous except in the periphery. For example it frequently happens that the femora of two extra legs are so compounded together that they seem to have only a single femur in common, 1 Tarticular attention is therefore called to one case of extra antenna, which actually contain parts normally central to the point of origin. (See No. 804.) CHAP, xx.] SECONDARY SYMMETRY: PRELIMINARY. 477 and careless observers have often thus declared them to be two legs with one femur. Similarly the two tibia? or the two tarsi may be more or less compounded. In the case of Silpha nigrita (No. 7G9), the two extra legs which arose from a femur were compounded throughout their length, having a compound tibia and tarsus (see Fig. 167). Even in cases when the two extra legs appear to arise separately it will generally be found that they articulate with a double compound piece of tissue which is supernumerary and is fitted into the joint from which they appear to arise. This is especially common in cases of two extra tarsi, which seem to spring directly from a normal tibia. As a matter of fact in all such cases these extra tarsi articulate with a supernumerary piece of tissue, as it were let into, and com- pounded with, the apex of the normal tibia. These bodies are themselves double structures, composed of parts of two tibiae. In determining the morphology of the limbs they are of great importance, but unfortunately they are not generally mentioned by those who describe such formations. But though extra parts are generally present in the leg centrally to the point from which the extra legs actually diverge, it should be expressly stated that if this point is in the periphery of the leg, the central joints are normal : if for example, there are two extra tarsi, there may be parts of two extra tibial apices, but the base of the tibia, the femur, &c. are single and normal. Symmetry of Paired Extra Legs. To appreciate what follows it is necessary to have a distinct conception of the normal structure of an insect's leg, and to understand the use of the terms applied to the morphological surfaces. If the leg of a beetle, say a Carabus, is extended and set at right angles to the body, the four surfaces which it presents are respectively dorsal, ventral, anterior and posterior. In the femur, tibia and tarsu< the dorsal is the extensor, and the ventral is the flexor surface. The anterior surface is seen from in front and the posterior from behind. (The terms 'internal' and 'external' are to be avoided as they de- note different surfaces in the different pairs.) Difficulty as to the use of terms arises from the fact that as the beetle walks or is set in collections, the legs are not at right angles to the body but are rotated on the coxae, so that the plantar surface of the first pair of legs is turned forwards, but the plantar surfaces of the second and third ]>.-m- are turned backwards1. 1 Attention is directed to the fact that in a beetle there is a complement :u > relation not only between the legs of the right and left sides but also imperfectly between the legs of the first pair and those of the second and third pairs which air in some respects images of the first leg of their own side. For iiistnnc. , in < '< r.imlii.c (see Fig. 160) the trochanter of the fore leg is kept in place by a process of the coxa which goes down behind it, but the corresponding process in the -eeoml :md tliii.l legs is in front of each trochanter. Again in Melolontha etc. the tibial serrations of 478 MKRLSTIC VARIATION. [PART I. Extra legs may arise from any one of the morphological surfaces, but m»re often their origin is in a position intermediate between them, e.^., antero-ventral, or postero-dorsal. The next question i- ihat of the determination of parts which are extra from the parts which are normal. Two extra legs spring fn.m a normal leg. The appearance is often that of a leg single proximally, but triple peripherally. All three limbs are often .Dually developed and at first sight it might well be supposed ihat t'he three collectively represent the single leg of ill-- ii»niial. In many cases of Meristic Variation I have contended that the facts are only intelligible on the view that there has been such collective representation. But in these Secondary Symmetries this MI pj H .-it mn is [('always] inadmissible. On closer examination it is generally more or less easy to see that the three legs do not arise in the same way, but that one arises as usual while the other tw<> are., as it were, ingrafted upon it. It is thus possible in all but a very few cases to determine the normal leg from the others by tracing the surfaces from apex to base, when it will be found that some surface of the normal is continuous throughout the appendage while those of the extra legs end abruptly at some part of the normal leg. Nearly always besides, as has been mentioned, the extra legs are more or less compounded together at their point of origin even if separate peripherally. In a few very exceptional cases it happens that one of the extra appendages is compounded with the nnnnal and not with the other extra appendage. A remarkable rase of this in an antenna may be seen in Melolontha, No. *()(), ami in a leg in Platycents camboides, (q.v.) We have now to consider the positions of the paired extra legs in regard to the normal leg and in regard to each other. At first sight their dispositions seem entirely erratic ; but though it is true that scarcely two are quite identical in structure, yet their divers structures mav for the most part be reduced to a system. *f V This system, though far from including every case, still includes a large proportion and even the remainder do not much depart from it except in very few instances. The comprehension of the general system will also greatly help to make the aberrant cases appreciated with comparatively few words. For simplicity therefore, the con- siderati..n of exceptional cases will be deferred and the principles stated iii a general form. It will be remembered that we are as \et concerned only with doi/h/e extra legs. When extra appendages, arising from a normal appendage, are thoroughly relaxed and extended, the following rules will be the first legs curve backwards, but those of the other legs curve forwards. This i ircumstance is mentioned lest it mi^'lit In- thought to have boon neglected in what follows, but this complementary relation has nothing to do with that which will be shewn to exist between the extra legs. CHAP, xx.] SECONDARY SYMMETRY : RULES. 479 found to hold good with certain exceptions to be hereafter specified. I. The long axes of the normal appendage and of the two extra appendages are in one plane : of the two extra appendages one is therefore nearer to the axis of the normal appendage and the other is remoter from it. II. The nearer of the two extra appendages is in structure and position formed as the image of the normal appendage in a 'plane mirror placed between the normal appendage and the nearer one, at right angles to the plane of the three axes; and the remoter append- age is the image of the nearer in a plane mirror similarly placed between the two extra appendages. Transverse sections of the three appendages taken at homo- logous points are thus images of each other in parallel mirrors. As the full significance of these principles may not be at once seen it may be well to add a few words of general description. The relation of images between the extra legs is easy to understand. They are a complementary pair, a right and a left. This might indeed be pre- dicted by any one who had considered the matter. The other principles, which concern the relations of the extra legs to the normal leg, are more novel. For first it appears not that either of the extra legs indifferently may be adjacent to the normal, but that of the extra pair the adjacent leg is that which is formed as a leg of the other side of the body. If therefore the normal leg bearing the extra legs be a right leg, the nearer of the extra legs is a left and the remoter a right. This principle holds in every case of double extra appendages of which I have any accurate knowledge, where the struc- ture of the parts is such that right limbs can be distinguished from left. But perhaps of greatest interest is the fact that the inclination of the surfaces of each extra leg to those of its fellow and to those of the normal are determined with an approach to uniformity in the manner described. These principles of arrangement may be made clear by a simple mechanical device (Fig. 153). A horizontal circular disc of wood has an upright rod fixed in its centre. This rod passes through one end of a vertical plate of wood which can be turned freely upon it as an axle, so as to stand upon any radius of the horizontal circle. The head of the axle bears a fixed cog-wheel. In the vertical wooden plate are bored two holes into which two rods eacli bearing a similar cog-wheel are dropped, so that each can rotate freely on its own axis. The three cog-wheels are geared into each other. They must have the same diameter and the same number of teeth. Three wax models of legs are fixed on the head of each \\h« •<•! ;i- shewn in Fig. 153. In that figure, E represents the apex of the tibia and tarsus of a normal right leg. The anterior surface is dark, and the posterior is white. The anterior and posterior spurs of the tibia are shewn at A and P. SL and SR represent tlir two supernumerary legs, SL being a left, SR a right. (The}- are supposed t<> aria from the leg R at some proximal point towards which they converge.) 'When the wooden plate is put so that the arrow points to the word "Post, rini •" on the di.-i-. the models will then take the positions they would have if they arose from the posterior surface, all the ventral surfaces coining into one plane. If the arrow In 480 MKRISTIC VARIATION. [PART i. to "Ventral" tin- two supernumeraries will turn their dorsal surfaces to each i. :ui 1 .-» on. The model SL thus rotates twice oil its own axis for each SK FlG. 1")H. A mechanical device for shewing the relations that extra legs in Secondary Symmetry bear to each other and to the normal leg from which they arise. The mode! /,' represents a normal right leg. Sf, and SR represent respect- ively the extra right and extra left legs of the supernumerary pair. A and 1\ the anterior arid posterior spurs of the tibia. In each leg the morphologically anterior surl'aee i- -haded, the posterior being white. R is seen from the ventral aspect and si. and SR are in Position VP. revolution round R, but the surfaces of the model SR always remain parallel to' those of the model R. In every possible position therefore each model is the image of its hbour in a mirror tangential to the circle of revolution. In the figure the models ha\e tin jMi-iiion they should have if arising postero-ventrally. Here the plantar surface of SL is at right angles to the plantar surfaces of the other two legs. Since at each radius the relative position of the legs differs, it is jms.sible to define these positions l>y naming the radius. This will be dene as shewn in Fig. 154. In this diagram imaginary sections of the legs are shewn in the various positions they would assume at various radii. The central thick outline shews a section of the normal leg, a lunger process distinguishing the anterior surface from the posterior. 'I'll.' radii an- drawn to various points D, A, V, P, representing the dorsal, anterior, ventral and posterior positions respectively. In- termediate positions may be marked by combinations, DA, VVP, &C., using (he system employed in boxing the Compass. <>n several of the radii ideal sections of the extra lei's are shewn in O i liin lines, the shaded one being the nearer and the plain one the remoter. .!/' ;uul M~ >he\v the planes of the imaginary mirrors. The manner in which the pair of extra limbs are compounded with each other in their proximal parts, and with the normal limb at their CHAP, xx.] SECONDARY SYMMETRY : SCHEME. I- I point of origin is most extraordinary. It does not appear that the surfaces compound together along any very definite line or that the l>\\ II FIG. 154. Diagrams of the relations of extra legs in Secondary Symmetry at various positions relatively to the normal leg from which they arise. The legs are represented in transverse section, the morphologically anterior -i.lt- of each being indicated by the longer spur. The section of the normal l>r. in which the radii converge, is shewn with a thick black line. The section of the nearer extra leg in Diagram 1 is shaded, while the rcninti'r is blank. The radii shew them in various positions, anterior, posterior, dorsal, ventral. &c. ivlati\>-ly ti- the normal leg. J/1, the plane of reflexion between the nearer extra limb and the normal. M-, plane of reflexion between the nearer and the remoter extra liiiilis. Diagram II is constructed in the same way to illustrate special cases ..f extia legs arising anteriorly or posteriorly. If the two extra legs diverge from eaeh other centrally to the tibial apex each tibial apex is then complete, as on radiu- A <>f Diagram I. In Diagram II are shewn two degrees of composition of the t\v. • tibial apices, illustrating how, in cases of complete composition, the extra part- ma\ consist wholly of two morphologically posterior or anterior >urfae.-> arrordnii: a- they arise posteriorly or anteriorly to the normal leg. (See for instance N<>.-. 750 and 764.) • line of division between the several limbs is determined by tin- normal structure of the limbs. The homologous parts seem to be compound-.! at any point, almost as an objrrt partly iimnrrsr.l in mi-miry com pounds with its image along the line to which it is imtii.T-.'d. w ever that line may be. :? L82 MKIMsTir VARIATION. [PARTI. tlii- -.in,, curious re-ult- i'n]].i\v. For instance, if two extra liinl.- arise anteriorly and an- separate at their tibial apices, they bear four -purs as shewn at radius A in the upper diagram of Fig. 1 •> 1. I '.ut it' tip- two an- fully compounded at the tibial apices in the anterior po-itioii tin- ronipMiiinlcil limb will only have two spurs, both being -haped ae anterior -pur- (as shewn in the lower diagram) and con- versely for tin- posterior position (see No. 7'i4). The parts, in fact, win- re the pair may be supposed to interpeiiet rate ,, lotted in the diagrams) are not represented. Tho-e u ho ha\e described these phenomena have in consequence often made the following error. Observing a limb giving ofi' a morpho- logically double limb with a common proximal part subsequently sepa- rating into it- t \\ o components, they speak of this as a "primary and -econdary dichotomy When the facts are understood it is clear that there j- nit dichotomy between the extra legs and the normal, for the parts are not ci|iii\alent and the normal is undivided. Such are tin- principles followed. It would not be true to ..... •/•/ tlnif iln'sf rules wre followed with mathematical />recixi»/i, hut in tin- ni'i/ii tin-;/ Lnlii ,/, ,:n/. Special attention will be given to cases departing from them. but the number of such cases is -mall. The cases of slight deviation from the schematic positions are bcsid,-, mostly those of extra limbs in the Positions A and P, and generally the deviation in them takes the same form, causing tin- ventral sin-faces of the extra parts to be inclined to each other downwards at an obtuse angle instead of forming one plane. In all cased possible I have examined the specimens myself, and I am tinder obligation to numerous persons who have ver\ generously given me facilities tor doing so. Amongst others 1 am thus greatly indebted to M. H. Gadeau de Kerville, Dr G. Krait/. and Dr L. von Heyden f>r the loan of many valuable insects, and also bo Messrs IVnnetier, (Hard, Dale, Mason, West- n-ood. YVaterhoiise, .laiison, Harrington, I'.leuse, Me. In this part of the work I am under especial obligation to Dr D. Sharp, for \\ithoiit his i ..... pei-ation it would not have been possible for me to have undertaken the manipulations needed. He has most kindly given up his time to the subject, and in the case of almost every one of the specimens examined al Cambridge I have had tin- benefit of his help and advice. Of cases not seen by me few are described in detail sufficient to warrant a state ..... nt as to the planes in which the parts stood, but sometimes the figures give indications of this. Some of the accounts are ipiite worthless, merely recording that such an insect had two extra legs: in such cases I have thought it enough to give the reference and the name «»f the insect for statistical purposes. |;ut every case known to me is here re- corded: tin-re has been no rejection of cases. The cases \\ill be taken in order of the Positions, beginning CHAP. XX.] EXTRA LEGS : POSITION V. 483 with the Position V and taking the other radii in order round against the hands of a watch. CASES OF EXTRA LEGS ix SECONDARY SYMMETRY. (1) Position V. *736. Carabus scheidleri $ : pair of extra legs having ;l ,-nnmion femoral portion arising from the trochanter of the right fore leg (Fig. 155). This case is of diagrammatic simplicity. The troch- FIG. 155. Carabus scheidleri, No. 736. The normal right fore leg, R, an extra pair of legs, SL and Sit', arising frorn the ventral -uituo nt' tin coxa, (.'. Seen from in front. (The property of Dr Kraatz.) anter bears a normal leg (R) articulating as usual. Immediately ventral to this articulation there is a second articulation \\\>«\i a small elevation. This bears a double femur made up nf part- of a pair of femora compounded by their dnr-al lmrdf tin- imnn;d and the right extra leg, while in the left extra leg they are aWnt altogether. This is an example of a pair nf .-xtra le-s an-m- 31—2 .Mi:i;l>TK' VARIATION. [I-ART i. in tin- position ni.-irk.'d \' in the Scheme and having precisely ill.- r.-lation> tli.-]-.- shewn. Sji.-eimen first described by KRAATZ, (i.. /;./•/. ent. //.. L873, \>. 4:!± ti- 9. I am greatly indebted in I »i Kraal/. t'»r an opportunity of examining it. 7:}7. Carabus marginalis : penultimate joint of left hind tarsus is en- larged .-mil pre-eiit- two articular surfaces, a proximal one on the \enir.-d -urfac... and another at tin- apex. The latter bears the normal last joint with it-cla\\-. 1'Yom the proximal art i.-ular surface arises a thick joint .shorter than the normal last joint, hearing at its apex ttm li,i'n* of (-la\\ - Bel l-a.-k to bark, as in the Position V. .Specimen recle- scril.ed from KI;A ATX. <;.. l>> "t. ''lit. Zt., 1880, xxiv. p. 344, PI. n. tig. -'.'. 7:;^ Carabus granulatus ,-/. l.-t't posterior tibia bearing an amor phous rudiment nt' two extra tarsi arising from the ventral surface of its apex. Tin- ap.-\ of the tiljia is produced at the dorsal border to tonn an irregular process which bears a tarsus of normal form but reduced si/e and immediately ventral to this tarsus is a pair of til>i;d -pur.-. N'eiitral t.. the-c spurs is another deformed pair of spurs and IH-|OW them aLcain is a deformed ,'5-jointecl rudiment which probably i -,.|,i -,. -ents two tarsi. Ventral to the rudiment of the extra tarsi is a third deformed pair of -purs. It was not possible to recognize the .surface- of the tarsal rudiment, but the presence of two extra pairs of spurs indicates plainly that the extra parts are morphologically of double structure: and as the spurs indicate the morphologically ventral sur- faces, it follows that the surfaces adjacent in the extra tarsi are ilm-sitl. This specimen was originally described by Dr L. Vox HEYDEX, who was so good as to lend it to me for examination, see Deut. enf. Zi., li^Sl. XXV. p. 11 II. _//,/. I'll. 739. Prionus coriarius (Longicorn): three legs in region of right posterior leg. The proximal relations not quite clear and hence it is not easy to di-tin-ui-h the normal. Presumably it was the most dorsal. This leg was of normal form but of reduced size and it wanted the claw-joint. Internal to it, arising by a double coxa, trochanter and f.-mur, were the other two le--. The remoter was a normal right, but the nearer was a left leg of reduced size, slightly crooked and lacking three apical tarsal joints. The compound femur was just as in No. "•"><'>. The normal leg must either have been the most dorsal or the most ventral. If the former, th" extra parts are in the Position V; if the latter, they are in the Position 1), but in this event the normal would be compounded with one of the extra legs. [Kedescribed from descrip- tion and figure gi\ en liy KI;\I 8E, Sitzb. inif. Fr. Bert., 1888, p. 14">. //'//.] 74-0. Melolontha vulgaris ? (Lamellicorn) : right posterior femur bears a suj)fi-- mimrniry pair of limbs having a double tibia in common. The supernumerary part- an- nitln-r smaller than the normal ones. [The position of origin and symmetry, according to tin- tigure, must have been approximately V.] KOI.KE, H. .1., Xiilunr. }l'iii-li<'iix., Isv.i, p.. p. It',1.), ti^r. 74], Carabus perforatus - : from thr ventral or plantar surface of the 5th tarsal joint of Irt't hind leg project an extra pair of claw-joints compounded in Position V. ca.-li braiing a pair ..f daws, set back to back. This is a diagrammatic case, well and clearly d.-sciili.-d by aSHUBS, .!/«'/<>•//•. (',,/,,.;<., 1835, p. 54, Tab. IX. CHAP. XX.] EXTRA LEGS : I'OSITIoX VAA. 485 (2) Position VAA. 742. Feronia i Pterostichus ) miihlfeldii $ (Carabidse) : left middle tibia bearing two supernumerary tarsi arising by a common proximal joint (Fig. 15(3). As in other cases of super- numerary tarsi arising from the tibia, the apex of the tibia itself is really a triple structure, containing parts of the apices of a pair of tibia: in addition to the normal apex. This is shewn by the presence of three pairs of spurs, &c. The additional parts are in this case anterior and ventral to the normal apex and a complementary pair. All three an- completely blended together, forming in appearance a single apex. The relations of the three component parts are almost exactly those indicated in the Scheme for the Position VAA. FIG. 156. Pterostichus miihlfeldii, No. 742. Semidiagrammatic iv]>rrs.-m;itifii of the left middle tibia bearing the extra tarsi upon the antero-ventral border of tli.- apex. L, the normal tarsus ; E, the extra right ; I/ the extra left tarsus, property of Dr Kraatz.) The two extra tarsi (R, L'} arise by a common proximal joint of double structure having two complete ventral surfaces inclined to each other as in the Position VAA. Peripherally to this the two tarsi are separate. The tarsus which is nearer to the normal tarsus is perfect, and stands in the schematic position, second joint of the remoter arises in the position shewn for \ AA. but its apex is slightly shrivelled and in consequence tin- re- mainder of this tarsus, though perfect in size and form is thrown a little out of position. This specimen was kindly lent to me by Dr KRAATZ, and was originally described and figured 1»\ him in Dent, ent. Zt., 1877, xxi. p. 56, fig. 21. Aromia moschata $ (Greece) (Longicorn) : righl tibia enlarged at apex bearing anteriorly a supernumerary pair 48G MKKlsTir VARIATION. [I'AKT I. "t tar-i. The widened apex l)cars three supernumerary spurs of which tin- middle i. DC is thicker than a normal posterior -pur. 'I'lii- i~ no doubt a double spur representing tin- t \vo posterior -pur- of tin- i-xtra tibia-. The <>\ her two extra spurs are ordinary anterior -pur-. Tin- relative positions of these spurs are exactly those marked \'AA in the Scheme. Of the extra tarsi 3 joints only remain and the two tar.-al series are so closely compounded that superlieialK they seem to form one tarsus only. In their tir.-t joints the inclination of the ventral surfaces to each other i- at an t tarsal joint is similarly a double structure. Its apex presents two articulations, but while the posterior bears a com- plete •! jointed continuation, the anterior bears only a single aborted joint, from which possibly some portion has been detached, but this is not certain. The relations of the parts are a little obscured by the fact that the normal tibia is slightly bent. The double part of the trochanter lies \ery nearly anterior to the single part but it is also somewhat dorsal to it This ^ives tn the base of the double femur a trend dorsalwards: but from the base the femur Curves vent ralwards so that the nett result is that its ape\ is actually \entral to the apex of the single femur when both limbs are extended. This curve of course gives the femur an abnormal form which is increased by the fact that it is perceptibly shorter than the single femur. No\v the relative position of the pair of extra limbs is that marked VAA, and as it stands when extended the apex of the double femur and the peripheral parts of the double limb stand in the Position VAA with regard to the single limb ; CHAP. XX.] EXTRA LEGS: POSITION A. 48; -a? *746 but as has been mentioned, by the curvature of the double femur its base is somewhat dorsal to the single limb. This specimen was very kindly lent to me by Dr L. VON HKYDKN and was first described and figured by him in Deut. ent. Zt., 1881, xxv. p. 110, fig. i'">. (3) Position A. Eurycephalus maxillosus (Lougic. ): right anterior femur divides at base into two parts, of which the posterior bears a normal leg. The other part of the femur is bilaterally sym- metrical, being made up of the anterior surfaces of two femora, for both sides present the same convexity (Fig. l.">7), neither being flattened as the posterior surface of a normal \\\->\ femur is. With the apex of this joint ar- ticulates a bilaterally symmetrical tibia of extra width, bearing a 1st and 2nd tarsal joint, each of nearly double width. The 2nd tarsal joint bears two 3rd tarsal joints, which are both much wider than the normal 3rd joint of the tarsus. (This is exag- gerated in the diagram.) One of these in 1891 bore a perfect ter- minal joint with a pair of claws ; but the terminal joint and claws of the other side were gone, though Moc- querys' figure shews that they were originally present. Mocquerys' state- ment that "la cuisse ante'rieure du cote droit se bifurque des son origine en deux branches ayant cJtacnne le volume d'une cuisse normal e" is mis- leading, as suggesting that the two femora are similar, while upon closer examination they are seen to be dissimilar. Here a pair of extra legs arising from the anterior surface of the normal limb, are compounded together as in the position marked A in the Scheme. Specimen origin- ally described by MOCQTEHYS, Col anorm., 1880, p. 54, ji>7.. supermniirniry left. N/i. .-ui>«i- nmiKTiiry right, y. ]"'-tcrit>r >ui- face. ", aiit'Tinr snrt'ai'f »( normal femur, a', a", the t\v.i anterior surt'ar.- uf thr i-xtru (In KoiU'ii Mus.) pair of c-law*. From thr -trurtmv 488 .MKIIISTH1 VAIII A 'I ION. [PART I. of tin--.- it was clear that they are a pair. When extended the ill!.-'- plantar surfaces are ii"t truly iu a horizontal plane, as they I i . L58. /•:/•<•.< iiniiiitii*, No. TJil. The right fore leg seen from dorse-posterior /'. post.-rior far.-. .1. anterior face. This figure was drawn from the mien i- ••!.]•!• ami has been rever-ed. (From a specimen the property of Dr Mason.) -Imuld be in Position A, but they are nearly so. is exaggerated in the figure. Specimen verv Dr V This deviation kindlv lent bv Aleochara mrrsta tStaph.i: middle left tibia has two articulations at apex. p.i-t. nor bears a tar>us normal in form but without claws. The anterior bears an extra tar-al s. rie- with a ]>nir of rudimentary terminal joints, each having a pair .if claw-. ( »f this double tarsus the :ird and 4th joints are not distinctly separated. Tin- parts are in I'o.-ition A. Specimen kindly lent by Dr MASON. 74S. Meloe proscarabacus J i Hi teromera). The apex of the femur of right hind leg i- < xt. iidi '1 "ii the aiiterioi side so as to form a second apex in the same hori- xontal plane. With this second apex articulates the common head of a pair of extra tibia- each bearing a complete tar>u-. As ir-ual they are a right and a left respectively. Ih. two extra legs are twisted out of their natural position so that they turn their ventral surface- upwaid-. The tibia which in origin is remoter from the normal tibia is moreo\ei bent over the nearer tibia MI that it stands actually nearer to the noi mill tibia. In this way the morphological relations are obscured, but nevertheless on tracing the. ventral surfaces up to th. point of articulation with the femur it is • •leai that they arise in the normal position and that they have the relations marked in the Scheme for the 1'o-itioii A. \\hicli is their position of origin. As this case is a -omewhat oli-cure one. I may add that I »r Sharp, who has kindly examined this -p. cimen. gives me l•/.<, isi-iii, ix. ]). 7lil and by MOCOI-KKYS, <'-2, ii;i.. and was kindly lent to me by Dr L. VON HKYDHN in whose possession it remain-. ( Hi. Cetonia opaca i l.amell.) : [right fore leg bears a pair of extra terminal tarsal joint- v.ry nearly in Position A, arising from 4th tarsal joint. All the claws are tinned \entralwaid-. but those of the extra joints are turned away from each other a- well a- downward-J. Mm QU1 RYS, I.e., p. til. /i.'/. Prionus coriarius $ ( Longirorn ), having parts of a super- numerary pair of tarsi arising from the middle right tarsus, and also a •similar double Mrueture arising from the posterior CHAP. x.\.] EXTRA LEGS: POSITION A. 489 right tarsus (Fig. 159). This is a very important case as a clear PS. «'r-' AS.' V. II I FIG. 159. Prionus coriarius, No. 750. I. Apex of tibia of right hind leg with its tarsus. II. Similar parts of right middle leg. (The property of Dr vmi Hrv.len.) PS, AS, posterior and anterior tibial spurs belonging to the normal IC.L'. l'S't A"S", the spurs of the extra legs, all structurally anterior spurs. A, anterior surface. V, ventral surface. (The property of Dr von Heyden.) illustration of the mode in which double supernumerary limbs may be compounded together so as to closely simulate a single limb. Each of the extra parts in this case in the original account was described as a single extra limb, but as will be shewn, each is really composed of parts of a complementary pair. ( 'uses of this kind suggest very strongly that other cases of supposed single extra limbs are really instances of double extra limbs in which the duplicity is disguised. I!"1 .MKIMSTIC VARIATION. [PART I. Jiiml //''. J "N" and a double one AS, A'ti', between them. Tin--.- -purs give tin- key to the nature of the structure. The proximal laical joint L;'i\'es oft' a process on its anterior side and i- then riiiitinued to bear a normal termination as shewn in the figure. The prore-.-, IVoiu the first tarsal bears a second tarsal t'ron i whirh the termination has been broken off. The extra parts are ;is in the figure, being covered vent rally from edge to edge with papilla-, and having n<> loiujit "tliniil cleft in the middle line like t he normal tarsus. Looking at these tarsal joints alone, the real nature of the extra parts does not appear, for the anterior and posterior surfaces of the normal tarsi are not differentiated from each other, and hence it is not possible to say of what parts the supernumerary limb is made up. Fortunately, however, the tibia! spurs are normally distinguishable from each other, for the anterior spur is a short spur while the posterior is a long thin spur. Now the spurs present in this case are firstly one long posterior spur /JN, and then three short « uti'rinr spurs, of which two are united for part of their length AX, A'S'. The extra spars are thus both iinti'i-ior sfHirs, that of the extra tarsus which is nearer to the normal being united to the normal anterior spur. Hence this case is a case of a supernumerary pair of appendages compounded together in the Schematic Position A, having the posterior sur- face- adjacent and suppressed. Rnjlit in'nl, II,' lt'ij. (Fig. ].")!), II.) Iii this case there would have been more difficulty in making out the real nature of the parts ; for in the normal middle leg the anterior spur is not so much differentiated from the posterior one as it is in the hind leg: but having this case for comparison it is easy to see that this also is a rase of a pair of appendages similarly compounded in Position A. This case differs from that of the hind leg in the fact that the parts are not so fully formed, and especially the anterior spur of the nearer extra tarsus is scarcely separated from the anterior spur of the normal. By turning the specimen over in the li-hi however, its form can be made out to be that shewn in the figure. When the specimen was received by me the parts present were as shewn in the figure, but when originally described by vox HEYDEX there was a third joint in the extra appendage which was small and elongated, and to all appearance it was the original termination and nothing had been broken off. For the loan of this specimen I am indebted to Dr L. vox HEYDKN, \\ ho originally described and figured it in Deut. ent. Zt., 1881, XXV. p. 1 10, ////.v. -11 and 2N. In the two following cases there was nothing to differentiate CHAP. x.\. j EXTRA LEGS: POSITION DA A. 401 the normal limb from the two supernumeraries, and the Position may either have been P or A. 751. Foenius tarsatorius (Ichneumon): tibia of left posterior leg bears a pair of supernumerary limbs. This is rather a remarkable case by reason of the great similarity in the modes of origin of the three limbs, whence it is difficult to determine positively which is the normal one. The tibia divides into three parts which lie in a horizontal plane and are separate from each other for about ^ of the length of the tibia. Of these the anterior is a good deal more slender than the other two which are similar and about of normal size. The middle of the three is shewn by its spurs to be a ritiltt limb. Each bears a complete tarsus The ventral surface of the most anterior tibia is horizontal while those of the other two are not quite so, but converge downwards ut a very obtuse an^'le. From this fact, and from the equality in si/e between them, it seems probable that the two posterior limbs are the supernumerary pair. The Position is therefore very nearly P or perhaps A. This speciniun was described by Mr HARRINGTON in Can. Knt., IS'.lO, p. 1'24, who was so kind as to lend it to me. 752. Agestrata dehaanii (Lamellicorn) : the coxa of the right anterior leg has two articulations, one anterior and the other posterior. With the anterior there articulates a single trochanter, bearing a normal right leg. The posterior articulation bears a large structure which is composed of two trochanters united together. This double trochanter bears two legs and is placed in such a way that the two do not lie in the same horizontal plane ; but the posterior extra leg is in the same horizontal plane as the normal leg while the anterior extra leg is wedged out towards the ventral surface, between the normal leg and the posterior extra leg. The posterior extra leg is a normally shaped right leg having its structurally anterior surface forwards as normally. The anterior extra leg is fashioned as a left leg and the surface of it which is structually anterior faces backwards towards the other extra leg. These two are therefore a complementary pair, having their structurally anterior surfaces adjacent: all three legs are normal and similar in form, size and colour. [Specimen kindly lent by Mr E. W. Jauson.] (4) Positions DA A and DA. *753. Cerambyx scopolii (Longicorn.) : pair of extra legs arising from the coxa of the right anterior leg. As this is a remarkably simple and perfect case it will be well to describe it in some detail, as it will serve to illustrate the arrangement of such cases in general. A normal leg of such a beetle as Cerambyx consists of coxa, tro- chanter, femur, tibia and four tarsal joints. To a proper understanding of the mode of occurrence of the extra legs in this case it is essential that the forms of these parts and their mode of movement with regard to the body and to each other should be accurately known. Of the large, irregularly pear-shaped coxa only the hemispherical fact- is seen from the exterior. It is chiefly enclosed by embracing out- growths from the sternum, forming a socket in which it can lie rotated like a ball. Upon its broad, exposed surface it is itself hollowed out to form a socket for the ball of the t >•(><•// a nf IT. For our purposes it is necessary to find some means of distinguishing the anterior face of the coxa from the posterior face. The structure which at once enable* u- to do this is the process (Fig. 160, /»), which goes down from the coxa to embrace the neck of the ball of trochanter and lock it into its socket. Now in the case of an anterior leg, this process is posterior to the trochanter (but in a middle or hind leg it is anterior to the trochanter). The next point to be considered is the position of khe femttr. The 192 MKKISTK VARIATION. [PART i. lemur it-elf is Haitem-d anteni ]ni-teriurly. having t\vo broad surfaces, morphologically anterior anil ]»>-terior, and two narrow surfaces which an- e\ten>i>r and tlf.xnr Mirfaee-, or morphologically dorsal and ventral. I'.y rotation of the mxa tin- whole leg may assume a great variety • if portion-, and it i- thu- of tlie utmost consequence that the nature of the surface- In- truly recu^ni/ed. If the front leg be placed with the R III 1 i ... lf,ii. f.'nmil.i/r . <,-„/.„///. Xo. 753. I. The whole beetle seen from ventral >etaila .•! ii-ht anterior coxa bearing extra trochanters and legs. In tin- tiKiiiv tlir le-s air rotate,! so as to shew that .S7i is an ima«e of SL. III. Tin- -;niir, jilaced BO as t,. shew that ,s7. is an inia^e of /,'. ,.. process ..f ooza l..,-kii^ j,, ti,L. tr,,clianter. *rp, alp, corresponding processes !<•!• the extra trochanters. (From a specimen belonging to M. H. Gadeau de Kerville.) CHAP, xx.] EXTRA LEGS : POSITION DA A. 493 femur at right angles to the body it may either be placed so that the ventral surface is downwards, or by rotation of the coxa through 90' the broad posterior surface may be downwards. The rotations of the middle and hind legs are complementary to this. In the abnormal specimen the extra pair of legs arise from the anterior side of the normal coxa, forming with it a solid mass and preventing its free rotation in its socket, so that the normal leg can scarcely be moved from the first position with the ventral surface downwards. The common coxal piece is about half as large again as the normal. Posteriorly it bears the tro- chanter of the normal leg, which is of full size and of proper pro- portions. The process of the coxa locking in the ball of the trochanter is posterior, as in the normal front leg. Anteriorly the legs SL and SR articulate with the coxa by separate trochanters. Each is separately closed in by a process of the coxa, sip and srp, respectively. Of these processes that of the leg SR is posterior, but that of SL is anterior. Hence the two legs are complementary to each other, and SR is a ric/ht leg while SL is a left. This complementary relation is main- tained in all the other parts of these legs. In size the two extra legs are rather more slender than the normal leg. It was explained in the introduction to the subject of super- numerary legs that the relations of form between them depend upon the surface of the normal leg from which they arise. Here the point of origin is chiefly anterior to the normal leg, but is also slightly nearer to the extensor or dorsal surface of the coxa. This is not at first sight evident owing to the rotation of the normal leg due to the great outgrowth from its anterior surface; but nevertheless if the plane of the ventral surface of the normal femur were produced, it would pass ventrally to the ventral surface of the remoter extra leg SR, and therefore this leg is morphologically dorsal to the leg R. The positions of the extra legs are approximately those of the Scheme for the radius marked DA A, and while the surfaces of SR are parallel to those of R when both are extended, the surfaces of SL are inclined slightly to them as in position DAA. In the enlarged Figure III the coxa is rolled forwards so as to exhibit the relation of images between R and SL, and the figure II shews the coxa rolled back to shew the similar relation between SK and SL. For the loan of this beautiful specimen I am great!}' obliged to M. Henri Gadeau de Kerville. 754, Harpalus rubripes (Carabichr) : left posterior tibia bears a supernumerary p:iii of tarsi. The apex of tbe tibia is widened and presents two articulations, of which the posterior bears a normal tarsus. The anterior articulation bears a pair of complete tarsi having proximal joints compounded. The two extra tarsi are a complementary pair, the posterior being fashioned as a ri/ilit. The surfaces adjacent in these two tarsi are structurally posterior surfaces, but they are a little supinated, so that the ventral surfaces are also partly turned towards each other. The position of origin and the relations of the surfaces to each other are almost exactly those which are 4D4 M ERISTIC VARIATION. [I'ART I. indicated in the Sdi. -mi- t'..r tin- po-ition I>AA. This specimen was described by M. A. 1 \i\ii. i /,'. i •. fl'I.nt.. \-^'.<. p. 331) and was kindly lent by him for further examination. 7 ."">. Chrysomela banksii . l'h\ tophagii : right hind tibia bearing an extra pair of tar-i. The ImnliT of ili'- tibia which cm i .--] Kinds in position to the ventral or flexor i. r «if tin- noimal tibia i> co\eied with the hairs which characterize it iu the iioimal limli; but tb.- opposite bonier of this abnormal tibia is similarly covered with bail-. sh. -\\ing that tin- anterior parts of at least two tibia- arc included in it. A iigid pioc, •-- piojict- iiom the wide apex of the tibia. Upon the inner side of tin- pi. ic. sa i- the artinilatii.ii t'..r the tai-u-, which from its direction and position appear- to be the iicninal tat>u- . >f the limb. Outside the process articulates a -lightly Mnall. -r tar-iis, wliicli from its form and from the plane in which it moves /• it tar-u-. flexing away from the normal one. At a point slightly external to tin- i- the third tiir>u-. which is again a ri;iht tarsus and moves in a plane comple- mentary t.i the middle one. The two are therefore a pair. The position of origin i- anteii.,1 and .im-al. being neatly that marked DA, but the relative positions of the extra tat -i or< approximately I'l'A. As to the nature of the tibial process I can make n ; me. 1 1- ig. ir, 1 . i KM. Kil. Clii-i/xnnii'lii liinikfii. No. 7 •">•">. View of right hind tibia from posterior -111 tact'. A normal right hind tibia i- shewn for comparison. (From Proc. Zool. Sot-.. -]'• oimeo tin- property of L>r D. Sharp.) Thi- -i'eeini, ti is the property of I>r Sharp, who was good enough to lend it to me. It was briefly described and figured by me /'. '/. . .s.. Is'.in, p. 583, but 1 was not at that time aware of the c»mplementaiy relation existing in these cases and failed to notice the >ome\\hat incoii-picuous differences which are evidence of it in this case. 7">'i. Hylotrupes bajulus (Longic.): right middle tibia bears a supernumerary pair of limbs having jiroximal jiaits in common. From the antero-dorsal surface of the ba-e of tin- normal tibia, there arises a slender tibial piece which is not so long •in- normal tibia and bears no spurs. At the apex of this supernumerary tibia. which i> doubtless a double -tincture, articulate a pair of tarsi having their tii -t and ,-econd joint* compounded together. After the second joint the two tar>i -epaiate from . adi other an 1 each bears a pair of claws. The relative position of the two tai-M when tli.-\ separate from rarh other is almost exactly that marked DA. li -hould lie meiiti.inid that the -upei nmnerary parts central to the 3rd tarsal joints an- not fully foime,i. u ing deiicieiit in thickness, and the transverse separation between the 1-t ami 'Jiid t:n>al joints is incomplete. Specimen first described by MO,V,IM:\-. Col. anonn., l-^sn. p. :,:!. Hg. i am indebted to Dr L. vox HEYDEN for an oppoitunity of examining it. (."» ruxiliun D. '7.37. Aphodius contaminatus^ (Lamellicorn.) : left middle tibia li.'.'irin^ two "U|MTiiii]iiri-ai-y tarsi \vhidi stand very nearly in the l>"siti"ii DDP, being rather m-aivr to D. The relative positions are shewn in Fi.^- l(i-- Tlv- arti.-ular surface at the apex of the til>ia is extended aL-n-' an el, moated pnieess which projects on the d..r-al side .if the tdiia. Tj ..... this extension «>f the ape\ articulate two extra tarsi. They -tand with their ventral or CHAP. XX.] EXTRA LEGS : POSITION D. I'.u LT. HP'S' & LP'S. plantar surfaces facing each other, and the tarsus R T is placed so that its dorsal surface is very nearly opposed to the dorsal surface of the normal tarsus LT, and the three tarsi thus flex almost in the same vertical plane. It is to be observed, however, that the tarsus LT is not actually in the same plane as the other two, but is a little deflected from it so as to flex rather more towards the posterior surface of the line than it would do if it stood actually as L'T' stands. This may be made clear by reference to the Scheme (p. 481) : for while the two extra tarsi are placed re- latively to each other as if they were in the position D, the position of RT to LT is that which it would have if it stood in DDP. In this species the mid- dle tibia in the male bears one large spur, namely, the posterior one, while the an- terior spur is rudimentary. PS in the figure represents FlQ_ 162 Aphodiug COHt(iminatuls, NO. 757, the large posterior spur of left middle tibia bearing extra parts. LT, the normal tarsus LT, while normal left tarsus. RT, LT, right and left i i ri /?P'*s'' extra tarsi. PS, normal posterior spur. 1U' ^ . 3 ' and LP'S, spur representing compounded spurs LP'S, Standing posteriorly of RT and LT corresponding with the single and between the two extra sPur p* of normal, x, x, line of suture ,i • between these two spurs. The limb is seen tarsi represents their two from the posterioi. 1surfac(, (Specimen the posterior spurs. The double property of Dr Kraatz.) nature of this spur is seen when it is examined from the anterior side, for upon that surface it is marked by a longitudinal ridge-like suture. This specimen was first described by KRAATZ, Ueut. ent. Zt., 1876, xx. p. -">7\ fig. 13, and I am indebted to Dr Kraut/ fur an opportunity «>f examining it. "58. Galerita africana (Carab.) : (Fig. 163) right middle leg normal as far as the last tarsal joint, which bears three additional claws arising dorsally to the nmmul puii. The extra claws are three in number, two of them being small and standing at tin- anterior border of the limb, while at the posterior border there is one claw of lai L-C r size. This larger claw is really a double structure, which is clearly shewn l.y the 496 M ERISTIC VARIATION. [PART I. en -i-nce of tu-n channels on its concave surface. Position of origin is therefore D, whili- tin- iui-liiiiitii.il i.l' tin- c.\tr:i pairs of claws to each other is about that required A. Fi.,. Hi::. <;,,l,',-it. Pyrodes speciosus (Longic. ); having two supernumerary legs aiticulating \vith the thorax by a common coxal joint, which is distinct from the nixa of the left middle leg, but is enclosed in tin- same socket with it. In this remarkable case the normal le^ i.s complete, though slightly pushed towards the middle line. The socket in the mesothorax is enlarged posteriorly and dorsal ly so as to form an elongated, elliptical articulation, which lies ob- li'|uely, so that its ventral end is anterior to its dorsal end. The anterior and ventral end is occupied by the coxa of the normal leg, while the coxal joint of the two extra legs fills the space d'.r-al and external to it. Both are capable of being moved independently in the relaxed insect. The extra legs articulate with their coxa by a common double trochanter which has two apis's, from \\hich point the legs are distinct. Their position is dorsal and posterior to the normal leg, being practically that marked DP in the Scheme, and the relative positions of the extra le-s are very nearly those indicated for the Position DP. The leg nearest the normal leg is of course ji right leg in structure, and its plantar and a little of its structurally anterior surfaces an- turned posteriorly. On the other hand, the remoter leg is a true left leg and the ventral surface of its femur is placed almost exactly horizontally. All three legs are complete, but they an- a little shorter and more slender than the middle leg of t lie other side. This specimen is in the Hope ('ollection at Oxford. CHAP. XX.] EXTRA LEGS I POSITION DP. 497 *700. Carabus irregularis $ ; left middle leg and right hind leg bear- ing supernumerary tarsal portions. In the left middle leg, Fig. 164, I, the 2nd tarsal joint is short and thick ; the 3rd joint is partially double, as shewn in the figure. One of its apices bears a tarsus of reduced size, and the other apex, which is postero-dorsal , bears a double tarsus having common 4th and 5th joints. The 5th joint of the latter bears two pairs of claws which curve ventrally and partly towards each other. The figure I shews the appearance from the ventral or concave side of the claws, while the figure II is drawn from the convex or dorsal side. The disposition and small number of the spines on the ventral side of the extra 5th joint shew that the ventral surfaces are partly suppressed, and in fact that the surfaces which are adjacent in the extra tarsi are in part ventral surfaces. This view is also borne out by the direction and curvature of the claws. Relatively to each other and to the normal the extra parts have nearly the Position DP. FIG. 164. Carabus irrt'iiiilnria. I. Semi-diagrammatic view of left middle leg from antero-ventral surface. I1, the claws of normal left tarsus. ?-, /-, claws of extra tarsi compounded together. lhl, hair marking the dorsal surface between the claws. A, anterior. P, posterior. II. Dorsal view of apex of extra tarsus ;•//, Hi-, two hairs marking dorsal surfaces. III. Dorsal view of right hind leg. c'c', c"c", claw-like spines, perhaps representing extra claws. (Specimen the property of Dr Kraatz.) The right hind tarsiis has the form shewn in Fig. 164, III. The 3rd, 4th and 5th joints are not fully separated from each other. Both the 4th and 5th joints bear extra parts, but their nature is obscure. The 5th joint is partly double, and the anterior part bears two shapeles* claw-like spines (c'c'). The 4th joint bears a similar pair of claw-like B. 32 I'.'- Mi:i;i>TI< VARIATION. [PART I. structures «,{' smaller si/.- (c"c"). Probably these should be considered as rudiment- ..f extra tarsi : but if tlii.s view is correct, it appears that tu.i extra tarsi ;uv present, arMn^ from different joints. For the loan i.f this -pe.-imen I am indebted to Dr G. KuAATZ, who first cleseribed and (inured it in l>-nt. . ,,t. Xt., 1S77, XXI. pp. -r>7 and 63, tijj;. 27. 7.; | Chrysomela graminia i I'll ytophagi) : the femur of the right middle leg bears a .-up. -111111111 mi -y pair of leg- attached to the posterior and dorsal side of its apex. At this iiuiiit tin-re is an articulation with which the single proximal part of the .-\ti.-t pair of til.i.-i- articulates. This piece, which is common to the two super- nuiiieiaiy tibi;e, i- a -uli globular, amorphous mass from which the two tihi.-e di\.-rge. l.arh of the two tihi.-r- bears a complete tarsus, except that the most jK.-ti-rii.r has only one claw. In colour the two supernumerary tarsi differ from the noMiial, ln-iii;.' liinwn instead of metallic green, but the tibiae are normal in colour. I rom ti of the articulations and the arrangement of the pubescence, it is rl.-ar that the surfaces <>t' the l,.gs which are naturally adjacent are constructed as jiu.-itt'rior surfaces, and the foinis of the two are complementary to each other, the himhiiost of the extia It ge li.-ing formed as a left leg, while the foremost is a right leg. A- thi -\ stainl, howe\t-r, the two tibia? are not in the same position relatively to tin- hod\. t,ii tin foremost is placed normally, having its plantar surface turned downwards, but the hindmost is rotated so that its plantar surface is partially turned n>i-ii-*t,-i-i«i-lt/. [The pair of limbs arise from the posterior surface of the normal limb and have their anterior surfaces adjacent, as in Position P.] FKIVALDSKY, J., Tt'rni. FUzetek., IMSI;, x. }>. 71 1. /'/. 7ii.-iti-iti .< <'i>lfi>]>tcn>ruin, 1835, p. 44, I'l. CHAP, xx.] EXTRA LEGS : POSITION VPP. 501 VPP in the Scheme, the compounded parts of the extra ap- pendages, viz., the double tibia and the double first tarsal joint have two complete ventral surfaces inclined to each other at an obtuse angle, while there are only two halves of dorsal surfaces. FIG. 160. Ceroulossits valdivice, No. 768. Left anterior tibia with extra parts seen from the ventral surface. /., the normal left tarsus. R' and I/', the extra tarsi, compounded in their proximal joint. A, anterior. P, posterior. Note that the anterior spur of the normal is curved and that the double spur representing the two anterior spurs of the extra tibial apices has thus a bifid point. (Specimen the property of Mr E. W. Janson.) Similarly there are two structurally posterior surfaces, but n<> structurally anterior surfaces, for these are adjacent and tin- developed. This specimen was kindly lent by Mr E. \V. JAXSON. 769. Silpha nigrita (Heteromera): from right middle femur arises a pair of legs which are completely united as far as the apex of the la.M tarsal joint. The point of origin of the supernumerary limbs is on the anterior and ventral border of the femur. The form of the extra limbs is shewn in Fig. 167. The surfaces V and V are structurally vent ral surfaces. They are turned chiefly forwards, but are inclined to each other at an acute angle. The surfaces, therefore, which arc adjacent in this pair of legs, and which are consequently obliterated, arc chiefly the morphologically anterior surfaces and to some extent the dorsal surfaces. The plantar or ventral surfaces of the last tarsal joints arc inclined to each other rather more obtusely than those of the til>i;c. so that the curvatures of the two pairs of claws are very nearly turned forwards as well as away from each other. This is not fully brought out in the figure. The position of origin is about VP, but the claws are in Position VPP. Specimen tirst described and figured by Mon(>n:i;Ys, Col. anorm., p. 43, jiy. 502 MKIMSTK1 \ AI;IATI'»N. [l'ART I. Fi... 1(17. Siljili>i iii.iritu, No. 769. Eight middle femur bearing a compounded pair of extra legs. I', ventral surface of nearer extra leg. V, ventral surface of the remoter extra lef,'. (In Rouen Mus.) 770. Tenthredo SOlitaria (S,t\\lly): tibia of right middle leg divides in peripheral third to form two branches, of which the anterior bears i hr normal tarsus. Tlie posterior branch arises from the postero-ven tral surface of the normal and bears a double tarsus consisting of the posterior parts .,f a pair compounded in Position VP, almost exactly. Tibial .spin's as in Fig. IDC). Tlie compound tarsus has only 4 joints, the ">tli being apparently broken off. In Cambridge Univ. Mus., history unknown. 771. Telephorus rusticus ( Malacoderm ) : tibia of left middle leg dilated and somewhat deformed in its peripheral portion. It presents two apieal processes, the one anterior and the other posterior. The anterior of these bears a normal, backwanlly directed tarsus, but the posterior process bears t \\ o tarsi by separate articulations. The anterior of these two tarsi is directed t'or\\ards to t'ace the tarsus of the other apex, but the posterior tarsus is backwardly directed. [From its attitude it is dear that the middle of these tarsi is a structure complementary to one of the others, but there is no evidence to shew whether it is a pair to t lie anterior or to the posterior. Posit ion either VPP, or DAA, pro- bably the former.] K ICAAT/, 1>* id,. ,,f the apex of the tibia is dilated so as to form a triangular projrrti"ii. causing the jmint of articulation <>f the normal tarsus to be raised dp-wards. The projection bears two tai-M of which the posterior curves downwards and backwards, li.-iu^ fashioned as a left tarsus while the anterior curves forwards •iinl slightly upwards liein^ a ri'iht turtu*. These two tarsi ha\e unfortunately been broken but were j)resumabi\ coiiijilete. The whole apex of the tibia bears five spurs in-t' ad of two, but the relation of the >pms t" the separate tarsi was not clear. The CHAP. x.\.] EXTRA LEGS: UNCONFORMABLE CASES. tarsi are very nearly in the Position YPP. Specimen very kindly lent by Mr E. W. Janson. 77*3. Julodis aequinoctialis (Buprestida?) : the extra legs arise from the posterior and ventral side of the base of the tibia of left middle leg. They are a pair, and are compounded together by their lateral and dorsal surfaces in such a way that the morphologically ventral surfaces of the two are almost in contact along the anterior border of the compound limb. The ventral surfaces here converge at an acute angle. The two extra legs are compounded together throughout the tibia- and first 4 tarsal joints. The 5th tarsal joints are free, but only one of them remains. The former presence of the other is only shewn by a socket. The normal tibia is con- stricted and bent at one point so that it does not stand in its normal position. The femoro-tibial articulation is rigid. This is a case of a pair of legs compounded as in the position marked VVP in the Scheme but the point of origin is more nearly that of VPP. Specimen originally described by MOCQUKUYS, Col. anorm., p. 47 Jig. 774 Metrius contractus (Carab.) Esch. : specimen in which the middle left femur bears an incomplete pair of legs in addition to the normal one. The femur is of normal length. The tibia of the normal leg is articulated with the end of the femur as usual, but is somewhat shorter, stouter and more curved than the tibia of the corresponding leg of the other side. A supernumerary tibia arises from the posterior [and ventral ?] side of the femur a short distance within the apex, and is articulated with it by a separate cotyloid cavity; the two articular cavities for the two tibia; are confluent, being connected by a groove. The end of this tibia is dilated at its outer end, and bears two articular surfaces, one on each side ; with each of these surfaces, a complete tarsus is articulated, nearly normal in form but somewhat stouter than a normal tarsus. There are four terminal spurs to this tibia, two being below the outer tarsus and two being below the inner tarsus. [It therefore seems that this tibia is made up of parts corresponding with the ventral side of a right tibia and the ventral side of a left tibia, and it is hence probable that if the dis- position of the claws of the tarsi had been examined, it would have been found that they too were a pair, one being a right foot and the other a left. Position probably VVP.] JAYNE, H. F., Trans. Amer. Ent. Soc., 1880, vm. p. 156, PI. iv. figs. 3 and 'da. 775 Aromia moschata ? (Longicorn) : right anterior coxa bearing a pair of super- numerary legs having trochauter and the proximal half of the femur in common. The normal leg and the extra ones were all somewhat reduced in size but \vure complete. The extra leg adjacent to the normal is a left leg. [From the figure it appears that the legs arose in the Position P, or VPP, and their relative positions seem to have been those indicated in the Scheme. Of course it is not possible to state this definitely without examination, but it is clear that there was at least no great departure from the position shewn in the Scheme.] It is remarked that in this specimen the right mandible was abnormally small. KOLBE, H. J., .\ntunr. Wochens., 1889, iv. p. (9) Ttvo cases not conform ///// to the Scheme. Two cases of double supernumerary tarsi require separate con- sideration. The arrangement in both of these cases depart- frum that which is usually followed, but it will be seen that then- is considerable though imperfect agreement between the two ex- ceptions. Both of these occur in the anterior legs of males of the genus Culatlms, and it happens that in the normal form the apex of the tibia presents a considerable modification from the simple structure of other beetles. This nioditieati<>n affects the anterior legs only, and is found in several genera «>f ( 'arabidae, being especially pronounced in Ciiltitlnt*. 504 .MKKISTIC VARIATION. [PART I. In order to appreciate the nature of these cases it is necessary that the anatomy of the parts should be understood. Tin- apex of the tibia in the simple form, e.g. the second or third leg in ('unilms, bears t \vo large articulated spurs. The two spurs are ventral to the articulation of the tarsus, and one of them is placed at tin- anterior border of the tibial apex while tit. oilier is posterior. In these unmodified legs both spurs are placed at the same level in the limb, so that the bases of both are in the same transverse section (cp. Fig. 166). In the forms presenting the sexual modification, the anterior spur is of some- what small size but occupies the same position relatively to the other parts that, it does in a simple leg. The posterior spur however, which is large, does not stand at the same level on the tibial apex, but has, as it were, travelled up the tibia so that it stands at a considerable distance central to the apex, and instead of marking the posterior border of the limb it is placed nearly in the middle of the actual ventral surface. A long channel runs from the posterior spur to the anterior one, and the appearances suggest that the modified form is reached by a deformation of the original apical surface, which is twisted so that the posterior spur is thus drawn up into the secondary position. In the fore leg of a male ('arabus the beginning of such a change can be seen, hut in Pterostichus and especially in ('ninth us it reaches a maximum. The change may be briefly described by saying that a section to include the two spurs must be taken in a plane which is oblique to the long axis of the limb instead of transverse to it. As a result of this modification the morphological surfaces "f the anterior tarsus of Calathus &c. have a peculiar disposition relatively to the same surfaces of the tibia when compared with other forms. Commonly the ventral surface of the tarsus is parallel to a line taken through the bases of the spurs, but owing to the rotation of the posterior spur into its secondary position this plane is here oblique to the ventral surface of the tarsus. These points will be at once evident if the front leg of a male Calnthiift is examined. It was laid down as a principle generally followed in cases of double extra appendages, that the three terminations, when ex- tend,.,!, stand in the same plane, and the chief feature which distinguishes the two following cases is that the three termina- tions are not in one plane. Moreover, though the two supernumerary tarsi are a com- plementary pair, and together with the normal tarsus are arranged as a series of images, yet in order to produce the arrangement of the present cases the planes of reflexion would not be parallel to each other (as in Fig. 154) but inclined in the manner to be described. CHAP. XX.] KXTRA LEGS I CALATHUS. 505 '776. Calathus graecus £ (Carabiche): left anterior tibia bearing a pair of supernumerary tarsi compounded together. Tlie diagram, Fig. 169, I, shews, in projection, the relations of the parts round the tibial apex. As has been explained, the posterior spurs P1, P" and P1 are really much central to the apex, but they are here represented as if they were projected upon the apex. The head of the tibia is produced posteriorly into a long and narrow process which is formed of the united parts of the two extra limbs and bears the articulation common to the two extra tarsi. The two tarsi stand with their ventral surfaces almost at right angles to each other, but the united dorsal surfaces are almost in a continuous plane. The fifth joints alone are separate, that of RT being small (Fig. 168). FIG. 168. Calathus grtecm, No. 776. Left anterior tibia bearing a double extra tarsus. LT, normal tarsus. RT, L'T, extra pair of tarsi. LAS, LI'S, normal anterior and posterior spurs. L'A'S', I/P'.S", anterior and posterior spurs belonging to L'T. EAS, EPS, anterior and posterior spurs belonging to HT. x, .r, dotted line indicating plane of morphological division between extra tarsi, .r.r, .r.r, plane of division between the normal and RT. (Specimen the property of Dr Ersatz.) In studying this case one source of confusion should be specially referred to. It is seen that though the origin of the extra tarsi is posterior to the normal tarsus, the extra tarsi are as a fact united along their morphologically posterior borders. Nevertheless the position «>f tin- spurs shews that it is the anterior surfaces which are morphologically adjacent to each other, for the spurs are arranged in the series A'P', P2A2, A3P3, and the union of the posterior borders of the tarsi is a result of the modification in the form of the tibia consequent on the rotation of the posterior spur. To produce the arrangement here seen, the planes of reflexion would be M1 and M2 respectively, and these are almost at right angles to each 506 .MKHISTIC VARIATION. [l-AHT I. other. Tin- pre-ent case then-fore is very different from those hither- to described, t'"i- in tin-in the planes of reflexion were nearly or quite |. n.-ill.-l. \\'ln-th.-i- tlii.-, ilitli-i-i-iice in the Symmetry of the extra parts in.-iv In- i-oiinecied with tin- (li-jiarture of the normal tibia from its own customary symmetry cannot be affirmed, but such a possibility should In- bin-Hi1 in mind. Thi- -periinen was kindly lent to me by Dr G-. KRAATZ, who tirst descril)i-d it in />••///. ,///. Zt., 1877, xxi. p. 62, tig. 23. I) or mil t3 Posterior M' I II Ponterior An If nor FIG. 16!). I. Ground-plan of tilrial apex of Calathus grams, No. 776. II. Similar ground-plan of the tibial apex of dilutlm* cixti'loides, No. 777. In each case the spurs are conceived as projected upon one plane, t1, the normal tarsus. .I1, I'1, its anterior and posterior spurs, t-, A-. P-, similar parts of ni-aivr i-xtra tarsus. /:), .!:;. !'••, similar parts of remoter extra tarsus. 3/1, plane of reflexion between t1 and t-. .!/'-', plane of reflexion between t- and f:t. *777. Calathus cisteloides J; (Carabid;e): right anterior tibia bearing a pair of supernumerary tarsi compounded together. In this case the extra parts were anterior to the normal tarsus. The parts were arranged as in the diagram, Fig. 169, II, which is a projection of the liliial api'\. The apex is produced anteriorly so as to form a wide i-xpansion whirh bi-ai-s the common articulation for the double tarsus. This produced pm-timi is uf i-uiirse funned by the composition of parts i it' a pair of tibia-. It is noticeable that the three tibial apices which i-nti-r into the formation of the general apex are in one respect not actually images of each other. For the angular distances between A1 and 1", and betwrni A' and 1'-', are exceedingly small, being far less than in a normal tibia of the species, and in fact the "moves runnin<* from i'ii each .-interior spur to the corresponding posterior one are almost paral- CHAP, xx.] EXTRA LEGS: UNCONFORMABLE CASES. 507 lei to each other and to the long axis of the tibia. The tarsi C- and I* separate in the first joint. The relative positions are shewn in the diagram, and it is thus seen that the planes of reflexion M1 and M'2 are inclined to each other at an acute angle. This specimen was kindly lent to me by Dr L. VON HEYDEX and was first described and figured by MOCQUERYS, CoL anorm., 1880, p. 65, Jig. It is difficult to observe the two foregoing cases without sus- pecting that the fact that they deviate from the normal symmetry of extra parts may be connected with the normal modification of the anterior tibia in these Cardbidce. It should be remembered that the tibia and tarsus of the unmodified leg of a beetle are very nearly bilaterally symmetrical about the longitudinal median plane of the limb, but in this leg of these forms the symmetry is lost. Possibly then the upsetting of the ordinary rules for the Symmetry of extra parts may follow on this modification. The difference between the two cases moreover is possibly due to the fact that in one the extra parts are on the posterior surface of the leg, while in the other they are on the anterior. Since the normal limb is not bilaterally symmetrical it is reasonable to expect that the results would differ in the two cases. One other case of a pair of extra tarsi in the fore leg of a male Calathus is re- corded (No. 777 a), but insufficiently described. It is to be hoped that a few cases of extra tarsi in the fore leg of male Calathus or Pterostichus may be found, and it is very possible that such a case even in Carabus would help to clear up these points. 777 a. Calathus fulvipes j (Carabida?) : tibia of right fore leg bears pair of extra tarsi. [Fig. and description inadequate.] PEKTY, Mitth. nut. Ges. Bern, iMll'i, p. 307, ./i#. 5. (10) Nine other cases departing from the Schematic Positions. Each of these needs separate consideration. *778. Platycerus caraboides (Lucan.) : left hind tarsus has form shewn in Fig. 170. The terminal joint had only one claw. AJ and L' are presumably the extra pair, but it will be seen that they arise at separate places from the 3rd tarsal joint. Otherwise, they stand approximately in Position V. Described originally by MoCQUEEYS, Col. anorin., p. 67, fig. 779. Philonthus ventralis (Staphylinidse): third joint of right posterior tarsus bearing supernumerary termi- nation of double structure. The apex of the third joint j^ is enlarged, and at a point anterior and slightly dorsal FlG 170 to the articulation of the normal fourth joint the super- pjat,/ceni!i ,.„. rulioidi-a, No. 778. Left hind tarsus from posterior surface. L, the presumably normal apex,.has only one median claw. /,' and //, arise separately from the 3rd joint. (In llouen Mus.i 508 MKKISTIC VARIATION. [PART I. numerary part- arise. The fourth and fifth joints of the supernumerary tarsi an- <>f double structure, hut are not separated from each other. 'I'll-- double fifth joint hears t\vo pairs of flaws, of which the two adja- .•ciit member- an- (-(iiiijioundcd together at their bases. The plane in which on.- ji.-iir of flaws stands is about at right angles to the plane in which the other pair is placed, the opposed surfaces being ventral Mirfaces. Stated in terms of the Scheme on p. 481, the supernumerary tai^i an- placed as in the position DDA, whereas their position of origin i^ I'AA. It is noticeable that the normal fifth joint does not stand ijiiite in its usual position, hut is a little twisted so that it par- tial! v turns its ventral surface in an anterior direction. This specimen was described and figured by FAUVEL, h'ev. d'Ent., 1883, n. p. 93, PL ii. No. 1'. It was kindly lent to me by M. Bleuse, to whom it belongs. 7S(l. Alaus sordidus ( Klateriche): Ceylon, femur of right middle leg bears two supernumerary legs arising from its postero-dorsal surface. All three legs are somewhat abnormal in form and the principal femur is partly shrivelled at its base. At a point on the postero-dorsal sur- face about halfway from the apex there is a large., irregular boss from which the two extra femora diverge. Of these that which is nearest to the normal leg may he distinguished as a left leg by the planes of movement of its tibia and tarsus, while the remoter leg is a right leg. The tarsus of the latter is broken but was probably complete. The sin-faces which the extra legs present to each other are structurally anterior surfaces, but the relative positions of the three legs do not coi-respond wit h any of the positions shewn in the Scheme. It should however lie noticed that this fact may be connected with the presence of the amorphous thickening at the point of origin of the extra femora. Specimen in Hope Collection first described and figured by WESTWOOD, Drtnitiil Kiitmiiolngy, PI. xxv. tig. 9, and mentioned Proc. Linn. Soc. 1847, p. 346. 781. Clythra quadripunctata (Phyt.): left anterior trochanter bears two supernumerary legs. Both the normal leg and the two extra ones are complete. The position of the latter is very peculiar; for, arising from the anterior surface of the trofhanter, they turn their structurally dorsal surfaces towards the anterior surface of the normal leg, which thus stands between them, one of them being above it and the other ventral to it. Of these that which is placed dorsally is structurally a /•/'//// leg, while the lower one is a Ay'/, like the normal one. Both the extra legs are also partly rotated so that their ventral surfaces are partially directed /'////v/v/.x. From these tacts it appears that the posit i f these extra legs relatively to the normal one does not correspond with any of the positions indicated in the Scheme, and it did not seem to be possible to refer this deviation from the usual arrangement to any special malformation of any of the parts. Speci- men originally described by M orufKuvs, (',,/. ,/„„/•///., p. 42, fit/. TvJ. Clytus liciatus (Long.) : right tibia reduced and thickened, being shapeless and bent . Its apex presents t wo articulations, the one anterior and the other posterior, the latter bearing a normal, 4-jointed tarsus. The anterior articulation hears a slender double tarsus, the two parts of which are fompounded in the 1st, L'nd, and 3rd joints but separate in the 4th or terminal joints. The supernumerary tarsi are very CHAP, xx.] EXTRA LEGS : UNCONFORMABLE CASES. 509 slender and the whole thickness of their common proximal joint is even less than that of the proximal joint of the normal tarsus. The ac — ac ir FIG. 171. Cli/tiis liciatus, No. 782. I. View of right tibia. II. Detail of the extra parts, from plantar surface, ac, ac, claws supposed to be morphologically anterior, pc, rudiments supposed to represent posterior claws. III. Enlarged view of the end of the normal tarsus. (The property of Dr Kraatz.) terminal joints of the extra tarsi are well formed, but they each bear only one fully developed claw, the claw of the adjacent side of each being only represented by a rudimentary knob. It appears at first sight that these extra tarsi are at their origin from the tibia only a single appendage and that their double nature only begins from tin- third joint. This however is not the case, for there are five spurs on the tibia, together with a small brown knob which perhaps represents the sixth spur. The tibia is greatly misshapen and the arrangement of the spurs is so amorphous that I did not succeed in determining their morphological relations. This specimen was kindly lent by Dr KRAATZ, having being first described by him in fieri, ent. Zt., 1873, xvn. p. 433, figs. 1 7 and 1 7 «. 783. Cryptohypnus riparius (Elater. ). The tibia of the right anterior leg is enlarged at its apex and bears one very large tarsal joint : this joint has two apical articulations, of which the posterior bears the remaining 4 joints of what is pre- sumably the normal tarsus. The other articulation bears a large tarsal joint, common to a pair of complete extra tarsi. This pair of tarsi stand with their lateral p;irt.~ closely adjacent and their plantar surfaces downwards, but the other taisus which is posterior to them, and is presumably the normal, stands with its plantar surface turned backwards. This disposition differs considerably from that indicated in the Scheme. For the place of origin of the extra tarsi and their position relatively to each other is A; but the normal tarsus is twisted so that it turns its dor.-al surface forwards, towards the posterior surface of the nearer extra tarsus. For this specimen I am obliged to Dr Mason. 784 Taurhina nireus (Lamell.) : right middle tibia bearing two extra tarsi. [In the normal leg of this beetle the tibia is like that of many other Lamellicorus, presenting at its apex two sharp processes, the one anterior and the other dorsal: and ventrally two articulated spines, one anterior and the other p<>>terii»r to the tarsus. The abnormal tibia of this specimen is considerably widened at its apex, and bears in addition to the normal two processes two other processes of a similar kind separated from each other by a pair of articulated spines. Instead of a single 510 MKl:l-TI<- VARIATION. [I-ARTI. pair of articulated -pim-, tliis tibia bears ./IP* such spines, of which a pairstand bi-twei-n tin- two i-xtni prot-e.--- . 1 n. di-position of these spines could not be made i-li ar wit In iiit -I-M ml li L'u 1 1 -. '1 ben ore two complete tarsi ami both have their ventral sin fad-* tiirin-il downwards. Tin- anterior tarsus is somewhat the smaller. I did nut succeed ill definitely detennininn the homologies of the parts in this specimen. It -Mould be spp-cially oiis,.] \ ed that while the tarsi are only two in number, suggesting that tin- sii]>i •inunicrary p;ut is >•///,-ut. cut. /.(., IHH;I. xxxnt. p. 'I'll, fig. 1H, and Kindly lent by him. 7s.", Ranzania bcrtolonii 1 1. aim -llieoi ID : in the right posterior foot the last joint of tin- tai-ii- i- curved outward- aiipl bears six claws instead of two, and three onychia in-trad of i pin . Tin- arrangement of the parts is somewhat complex and could not well In- made dear without elaborate figures. Speaking generally, the last (fifth) tar-al joint presents at its apex a large articular surface of irregular shape. This surfaci- bears fipur laiye claws disposed in the same direction as the normal pair of claws. Of the four claw> the two adjacent ones are in solid continuity for a part of tlii-ii length, lieinr; joined together by t-hitin much as the extra dactylopodites are in Fig. IH-I, in. It is clearly shewn that the conjoined claws are respectively the fellows of the twcp free claws, for the two extra onychia stand one upon either side of and i,|,i,i,.-ite to the cm \ature of the conjoined claws. Terminally the fifth tarsal joint bears al-o a small pair of somewhat deformed claws with which an enlarged and misshapen onychium corresponds. This specimen was kindly lent to me by M. Hi mi (P \i.i vr M: KKIIVILLE and was mentioned by him in Hull. Soc. Ent. France, Ser. I'P. vi. Is.st;, p. *78G. Rhizotrogus aestivalis $ (Lamellicorn), bearing supernuinci- ary | tails <.t' double structure upon the right posterior oth tarsal (V\g. \~'l). The structure found in this case is very re- markalilf and is, I believe, in some respects unique. The tarsus is normal as tar as the extremity of the terminal joint, and the abnormality consists entirely in repetition of claws and pulvillus. The normal formation is shewn from the ventral surface in Fix'. 172, A. There is an anterior claw, a posterior claw and a small pulvillus, placed ventrally to the claws, bearing two hairs. Fix- 172. 1-5, shews the abnormal foot from the ventral side. Each claw gixe.s off from its base a ventrally-directecl supernumerary claw, and each supernumerary claw is bifid at its point. Ex- amined from below each of these extra claws is seen to bear tin, nref> separated by a ridge, and is therefore morphologically a double structure. The next structure of importance is the puKillus. The normal pulvillus (ptd) is in place and of the usual form, but (Inrsiilly to it there is a supernumerary pulvillus (pul-) of cylindrical form and rather longer than the normal pulvillus. At its apex this extra pulvillus bears a median bifid hair with another hair on each side of it; these hairs thus prove that the extra pulvillus is morphologically double. In this foot, therefore, a supernumerary pair of claws and a supernumerary double pulvillus are intercalated between the normal da\\s and the normal pulvillus. Hence though the repet- ition affects both claws and pulvilli, and the structures found are sufficient for an incomplete pair of extra feet, yet the extra part-- are disposed in the system of symmetry of the normal foot, forming, all taken together, one foot only. Specimen very kindly lent by Dr G. KllAATZ. CHAP, xx.] EXTRA LEGS : MISCELLANEOUS CASES. 511 B. C. , /"*'• a' and a" p'and p' a-'-. D. pul2—, FIG. 172. Ehizotrogus cestivalis, No. 786. A, normal hind foot from ventral surface. B, right hind foot of No. 78C> from ventral surface. C, enlnwl view of pulvilli. D, inside view of the claws at the anterior border of the apex. E, inside view of the claws of the posterior border of the apex. A, anterior. /', posterior. a, normal anterior claw of abnormal foot, p, normal posterior of the same, a', a", the two points of extra claw of anterior side, p', p", the two corresponding posterior points. In D the posterior group of claws is supposed to be cut off at P. pul, normal pulvillus. 2nd'2, extra double pulvillus. (11) Cases in which the leys were either mutilated, or in amorphous, or insufficiently described. 787. Want of space prevents me from giving more than a list of refer- ences to these cases. Most of them besides are imperfectly known. Of those seen by myself the case of Jlixtr,- would, I think, be interest ing, but I regret that my notes of this case are imperfect. Tn tin- following list the letters R and L shew the leg affected ; the t means that the case probably did not agree with the Scheme, the that it probably did agree ; the + means that the parts were either mutilated, or imperfect, or deformed. Of those unmarked, the accounts art- inadequate. E3 TISCHBEIN, Stct.ent. Ztg., 1 *»'•!. xxn. p. 12s. KIIAAT/, Dent. cut. '/A., ins'J. xxxni. p. 2 •_>•_'. fig. 17. Lj GRKHLEH, Koiresp. zool.-tniu. JYr. Regentb., 1877, xxxi. p. IH'.t. R., LANIHIIS, tool. <;i|'i- v-l L', KRAATX, l!,-rl. ent. Zf., 1^78, xvn. p. 482. Ichneumon luctatorius * Carabus auratus C. auronitens C. cancellatus + ditto cf 512 •lit MERISTIC VARIATION*. I. llrit. Mil.-'. [PART i. C. catenulatua C. italicua B", BAVI>I, Nat. Sicil., vm. No. 9, p. 199. Dyschirius globuloaua Rj JAYXE, Trans. Amer. Ent. Soc., 1880, vm. (('ar. i p. 157, PI. i\.fiys. 6, 6]>. Aromia moschata (Lam.) 1, p- 483. f. ^f., 1877, xxi. p. 56, PI. KRAATZ, Deut. i, 2. nn. 11. Dorcadion rufipea (Long.) L:) PKUTY, I.e. Blapa ~j). (Het.) R3 LABOULBKXE, Bull. Soc. Ent. Fr., S. 4, v. 1865, p. XLIX. Ptinua latro (I'lin.) Lj vox FRICKEX, Ent. Nachr., 1883, ix. p. 44. DytiBcus marginalia (Dyt.) R, RITZEMA Bos, J., Tijds. v. Ent., 1879, xxn. p. 200, PL Colymbetea sturmii (I>yt.) L, STAXXIUS, I.e., p. 307, /K/. 9. StrateguB antacus (Lam.) La JAYXE, I.e., p. 159,. fin. 10. Rutela fasciata (Lam.) Rs SPIXOLA, Ann., Soc. ent. Fr. 1835, iv.p.587,PJ. Ulster cadaverinus (Clav.) R, MOCQUERYS, I.e., p. 59, Jiij. Cetonia morio- (I.am.) La SARTORIUS, Wien. ent. Monats., 1858, n. p. 50. Melolontha vulgaris(Lam.)L.j TREUGE, Ent. Nachr., vm. 1882, p. 177. ditto R, DOUMERC, Ann. Soc. cut. Fr., 1834, in. p. 171, PI. I A, firj. 1. ditto L3 BOULARD,' Bull. Soc. ent. Fr., 1846, S. 2, iv. p. XLVIII. /((/. ditto R3 TIEDEMANX:', \V<'rAv/'s A rch. f. Phys., 1819, v. p. 125, PI. n. fi>. 1. L.. Mocul'l- UYS, /.('., p. (18, Jill. R'j I!ASSI, Ann. Soc. ent. Fr., 1834, in. p. 373, PI. vn A. ditto Rhizotrogus caataneus (Lam.) t R. acBtivalis OPEEROTJD, Ann. Soc. Linn. Lyon, 1854, n. ° i P. 325. Oryctes naaicornis (Lam.) R: AUDOVIX, ttull. Soc. ent. Fr., 1834, ill. p. iv. Enema pan. (Lam.) L3 TASCHENBEBG, Zts. f. yes. Nuturw., 1861, xvin. p. 321. 1 As Kraatz suggests, this is presumably tin- case given by SARTORIUS, L c. - Probably same specimen as that of CJRKDLER, Korresp. zool.-min. Ver. Regen*l>., .), xxin. ji. 35. 3 Tiedemann's grave comment is of interest as recalling past phases of thought. He says: " II "«x ilii- i'.ntxti'lnui'i tier alien lieaehriebeiii'H Misxbihliinfi bi'trijf't, *<> l''iiilateral symmetry, while in the normal appendage one side is differentiated from the other. Now in very many species of Insects the antenna seems to be a bilaterally symmetrical fila- ment, having joints cylindrical or elliptical in section. When from such an antenna there proceeds an extra filament, itself bilaterally symmetrical, it is almost impossible to determine whether the extra filament is really a single repetition of the normal or whether it is made up of two homologous borders of a pair. (Cp. Nos. 801 and 704.) In speaking of actual cases of duplicity in Arthropodan appendages we shall have to return to this subject. Meanwhile evidence will be given as to examples of obvious duplicity in extra antenna?. It will be seen that in species having normally a marked differentiation between the anterior1 and posterior borders of the antennae (Lamellicorns, Lucanidae, &c.), and the case has been really studied, there is often clear proof not only of the duplicity of the extra parts but also that thev are arranged as images, almost as described for legs. We shall moreover meet cases where of the paired extra parts one springs free from the normal at a point proximal to the point of origin of its fellow. Among extra legs there is scarcely any certain example of this phenomenon, Platycerus caraboides N". 778 being perhaps the clearest case. But among antenme then- are several where no other interpretation seems possible. The>e cases I have set in a separate section. Of the remainder, little can be said with confidence. Probably if they were carefully examined microscopically it would be found that differentiation between the two sides exists in respect of the distribution of sense-organs or hairs, and that thus the du- plicity and symmetry might be traced. After giving the clear cases I have thought it enough to give a list of those of this doubtful order. As has been said, there is little doubt that with careful study of the specimens many of the cases now included in the list of supposed single extra appendages might be shewn to be cases of extra parts in Secondary Symmetry. 1 This term is used, as in the case of legs, to denote the bonlt-r which is am when the appendage is extended horizontally at right anglr* to the Unly. Tlie upper surface will then be dorsal, the lower ventral. These terms are thus applied without any intention of affirming that they are morphologically correct. B. 514 MKIM>Tir VARIATION. [PARTI. (1) Clt.'nr i-iist/x <>f ' F'lju.'i-iiumerary Antennae in Secondary Symmetry. ni} Tin' I'.rtrti ji'irt* iirifiin;i together. Phyllopertha horticola (Larnellicorn) : specimen in which the right antenna bear- a supernumerary pair of clul>s. This specimen in;iv conveniently be described in detail as it furnishes a good example of the mode in which repetition of the antenna- occurs in the Lunellicorns. The left antenna is normal and p. -------- - niiH- joints (Fig. 173, L). The first is a large pear- -haped joint, articulating with the head by its narrow end. The IMC;. 17::. I'lu/ll.^nrtiia liortii-ola, No. 788. L, the normal left antenna. the normal right antenna. /, r, extra left and right clubs. id joint is also a pear-shaped joint, of about half the size of tin- first. The third, fourth and fifth joints are elongated and <-\ lindrical. The sixth is short and wide. The seventh, eighth and ninth arc each expanded into a lamella, These three la- mella- are generally kept tinnly closed together and form the sensory organ, or "club." In Melolontha (v. infra) and several other genera of Lamellicorns, there are ten joint's, of which se\en are developed as lamella-, forming the club. In the /•/(//// antenna (Fig. 173, R), which bears the extra pair of chilis, tin- basal joint is rather thick. The second joint is longer than it normally is, and curves slightly backwards and do\\n\\ards. At its apex it bears the rest of the normal antenna, which is in all respects well formed. In addition to the normal antenna, the second joint upon its anterior surface gives attach- ment to a large joint- which is imperfectly constricted into two parts in a \ertical plane at right angles to the general direc- tion of the normal antenna. Fach of these half-joints bears a structure containing m itself all the pints proper to an antenna peripherally to the third joint, the rinks l,,.ing well-formed and normal. In absolute si/e they are eipial, but are a little smaller i han t he normal antenna. CHAP, xx.] EXTRA ANTENNAE ARISING TOGETHER. 515 These two antennas curve in opposite directions and are in all respects complementary to each other, forming a trne pair. The most anterior of them, r, is disposed as a rir/lit antenna, while the posterior, I, is disposed as a left. This specimen was taken by M. Albert Mocquerys, and was kindly lent to me by M. Henri Gadeau de Kerville. 789. Melolontha vulgaris $ (Lamellicorn): left antenna bearing a pair of supernumerary clubs. The extra pair arises from the second joint of the normal antenna, and they have their third joints united at the base. The relative positions of the extra clubs and the normal one are those marked VP in the Scheme. All these three clubs are perfect and of the same size, but each is a little smaller than a normal club. At the thoughtful suggestion of Prof. Howes this specimen was very kindly lent to me by Mr E. E. Green, and has been placed in the Museum of the Royal College of Surgeons. 790. Melolontha vulgaris : Lrinrht antenna bearing a supernumerary pair of clubs in Position P. For details see original, where a different and I think untenable view is taken] LEREBOULLET, Rev. et May. de ZooL, S. -2, in., l8ol,X'A 791. Melolontha vulgaris £, with a pair of supernumerary antenna? arising from the left antenna. [The figure shews that the proximal joint or scape was of abnormal thickness and had two peripheral articulations in the same horizontal plane. The anterior articulation bore a normal antenna. The posterior articulation bore a single large first funicular (2nd) joint which in its turn bore a pair of clubs in the same horizontal plane, the anterior being a right club and the posterior a left, having their anterior surfaces adjacent : they are therefore a complementary pair in Position P.] KRAATZ, G., Dent. ent. Zt., 1880, xxiv. p. 3-il, figs. 7 and 7 a. 792. Amphimallus solstitialis (Lamellicorn): left antenna bearing a supernumerary pair of imperfect antenna? articulating by a common stalk 011 the anterior surface of the second joint. The two extra clubs are an imperfect pair, complementary to each other, being set on back to back, in Position A. The most anterior of the clubs has only two lamellar joints, one small and one large. The posterior has three lamellse. The normal club has three lamelhe as usual. Originally described by MOCQUERYS, /. c., p. 15,y?Vy. 793. Anomala junii (Lamellicorn) : left antenna bears 3 clubs, each having 3-jointed stem articulating with elongated 2nd joint of antenna. [Symmetry nut clear: possibly Position DPI'.] KUAATX, Dent. cut. Zt., 1881, xxv. p. Ill, PI. m. rig. 4. *794. Geotrupes typhaeus £ (Lamellicoru) : left antenna bearing a pair of supernumerary clubs compounded together. The an- tenna is normal up to the 7th joint which is dilated. The 8th is still more dilated and bears posteriorly the normal club com- posed of three lamella?; and anteriorly by a separate articulation a supernumerary structure (Fig. 174, inr,ml) consisting of three joints, each of which has the form of a complementary pair of lamellae joined by their morphologically posterior (sc. external) edges. The whole supernumerary structure is thus morphologic- 33—2 516 MKKISTH VARIATION. [PART i. ally a j>"ir of dubs, a right and a left, compounded together. Tin- hi.-tol.i-y i.f tin' -upenimnerary lamelke is just the same as 8 7 6 Fin. 171. Geotrupet ti/i>)m-tn;. No. 794. Left antenna bearing a compounded «f i-lnli-i. ml, mr, morphological left and right of the extra parts. (The property of Di Ki.mt/.i that nf tin- imnnal lamella-, all being covered with pubescence. Tin- form of the compound eleventh joint is somewhat irregular. The extra parts are in the Position A of the Scheme. Specimen kindlv lent l.\ hi KIJAATX, and first described and figured by him in Deut. ent. Zt., I.SSD, xxxin. p. 221, fig. 13. 7!i.">. Melolontha hippocastani ^ having supernumerary parts of double structure upon both the right and the left antenna. ///;//// Antenna. Third joint elongated, thickened and pre- -'•ntin- t\\i» articular surfaces; of these one is terminal and hear- a normal antenna IT club, while the other is dorsal and bears a >u|ierniinieraiT double club. This structure has the form shewn in tin- drawings. Fig. 17-"), A, shews its appearance when looked at t'rnni abnve, B shews the structure when seen from below and externally. It consists of seven pieces shaped like half-funnels, tit ted into each other. c. 3 (bearing normal riant i Clubf y1 Km. 17-''. Mflnloiitliii lii]>]><><-ii*t of a normal club. On the ventral aspect it presents a simple rid «,'»•. but on the dorsal side its outer coating is divided by a spindle-shaped sin through which part of the internal structure protruded. The ed^es of this opening and the protruding portion of the interior bear a te\\- hairs. There can be little doubt that this supernumerary body repre- sents an imperfectly formed pair of chilis, and that it is in taet a more rudimentary condition of the parts found in No. 795. Specimen origi- nally described and figured by MOCQUKKYS, <',>/. annnn., p. \^,fig. 797. Llchnanthe vulpina (Lam.) : right anU'iuia bears in addition to normal ehil> a ' small spherical club made up of three joints, arising from p.»t.-rior boni.-r of a long 518 M KIM STIC VARIATION. [PART I. joint apparently representing the normal 4th, 5th, and Oth joints not segmented from other. [A* tlii- -ii|u i ilium T;U y part is in itself symmetrical it probably con- tain- within it-elf ]>aits of a pair of clubs compounded in Position P. Cp. No. 7!i.".. J -l.vYM . II. 1 ., Trim*. .Inn-r. Knt. Soc., 1880, vm. p. 158, PI. IV. fig. 8. Tl'V Polyphylla decemlineata 1 1. am. •lln-orn). A specimen in which the right antenna beai a partially dooble supernumerary branch in addition to the normal null nna. I hi- additional structure articulates with the second joint of the antenna by mi an- nt' a -ingle lain joint. This joint carries a double club consisting of two of lamellje, Si ren being iii each set. The two sets of lamella are united at thfir base- at an angle of fi.rty-fiv.- decrees. The plane of the normal club is per- liciiiliculai tn that of tin- a I iin 'i ma) one-. The normal club itself is ith shorter than that nt tin uther side. [I hi' details of the structure of this specimen are difficult tn follow ami tin leader is n •('. mil for further particulars to the description and figures given in thr m iginal.] JAYXE, H. F., Trams. Amer. l-.nt. Soc., LSHO, vm. p. (l>) Tlie arising from the normal at separate point*. 90. Odontolabis stevensii$ (Lucanida-). As tin.- repetition in this specimen is almost complete and the relations of the parts fairly clear though in some respects peculiar, a detailed account \\ ill III- llSi'ful. Tin- liody, legs, iVrc. arc' normal, save that the back of the head and thorax have been crushed by some accident. The antenna' are both abnormal in the way shewn in Fig. 170. The cuiiditioii \\ill be better understood if the normal antenna is first < I escribed. FKI. 17'i. odantnliiltia .«ti'rt'n*ii, No. I'M. 'i'he head seen from below, and enlarged views of the two antenna •. H. right. L, left. There is some doubt as to which of the branches is the normal and which the supernumeraries. See di -cription in text. The normal antenna of Odontolabix is much like that of its ally l.in-nniiK trrntx, the Stag-beetle. It is made up of 10 joints composing three parts differentiated from each other. The first., or "scape," is a single joint as long as the rest of the antenna. It widens a little from its central end or base tou.-mls I),,, apex, and is slightly flattened from above downwards. The second part, or " tuniculus,1' has six simple joints. The last three joints form the rlub. They are flattened from above down- wards and lie in a hori/ontal plane. The anterior ("inner") border of each of these three joints is produced into flat ex- pansions, covered with sensory pores, which together form a series of serrations along the anterior border. When in its natural CHAP, xx.] EXTRA ANTENNAE ARISING TOGETHER. 519 position the serrated border of the right antenna faces towards the left side, and that of the left is turned towards the right. The structure of the abnormal specimen is as follows. Left Antenna. Scape normal. Its plane however is not quite horizontal as usual, but is a little oblique, the anterior border being slightly higher than the posterior. In the funiculus the 1st and -nd joints (2nd and 3rd of the whole antenna) are a little thicker than usual but otherwise normal. The 3rd joint of the scape is enlarged and presents at its apex two sockets, each bearing a continuation as shewn in the figure. The two sockets are not in a horizontal plane, but their plane is oblique and nearly at right angles to the plane of the scape, the socket bearing the branch I1 being the higher. It is important that the pre<-i>«' re- lations of these parts should be clearly understood. This outer socket of the 3rd funicular joint bears the branch I1, made up of three more funicular and three club-joints, turning their serrated border in the direction of the right antenna: I1 is therefore structurally a left antenna. Its surface is of the same nature as that of a normal antenna, but its size is a little smaller. It is in an oblique plane inclined to the horizontal at about 45°, the posterior (outer) border being the higher. The inner socket of the 3rd funicular joint bears a cylindrical joint not quite fully segmented off from the next joint peripheral to it. These two are 4th and 5th funiculars. The 5th again presents two sockets, bearing respectively the branches I2 and I3. The branch P has one small joint (6th funicular) and three club-joints, turning their serrated border towards I1. This branch is therefore structurally a right antenna. It stands in the same oblique plane as I1, the serrated border being the higher. In size it also agrees with I1, being rather smaller than the normal. The branch /3 is a normal left in size and shape, and it lies in a horizontal plane. Here therefore there is a left antenna and a pair, one a right and the other a left. Which then is the normal, /' or I3 ? Inas- much as Is and I- arise by a common stalk it may seem that they are the extra pair and that I1 is the normal. \\'e have now seen in many cases that extra parts in Secondary Symmetry are compounded together as /•* and I- are here. But considering the fact that P is of normal size and in the normal horizontal plane, whereas I1 and I- are both smaller and are in an oblique plane complementary to each other, I incline to the view that if one branch is the normal, it is I3, and that I1 and I- are the extra pair in Secondary Symmetry, though they do >/<>t a rise to- gether. They are then nearly in Position DPP, but depart I'mm that position in the fact that /' is not horizontal (cp. No. 757). If /l and I- are really the extra parts, in the fact that they do not arise together, but spring separately t'nun different points on the normal, we meet with a condition ran-ly seen, but that MERISTIC VARIATION. [PART I. tlii- is a p...— ible i .lit i.. 11 is ].i-.. ved beyond doubt by the succeeding case. /.'////// Anti'ii/iii. Scape precisely as in left antenna. The I-: funicular (2nd ant. •unary) has two sockets at its apex, placed like those "ii tin- :!id funicular of the left side, the ant. Tim- socket I., in- tin- lower and the posterior socket being the higher. The anterior sockel bears a normal right antenna,?'3. The posterior bears the struciiire shewn in the figure. This appendage has unfortunately been broken, but enough remains to suggest the original structure. It con.-ists of five funicular and a 1st club- join!. The .1th joint of the whole funiculus bears a large socket lo. .king downuanls and forwards, its other socket looking back- wards and upwards. rYom the former the original continuation ha- been lo>t. The latter bears the 6th funicular and its 1st club-joint, this ,-IL;HIII ha-\ ing an empty socket. The plane of the two sockets of the 5th funicular is oblique to the hnri/on. like that of /' and /'-'. Though it is clearly im- p"-- ible to shew how this antenna was in its unbroken state, \\e may note that it' it were continued in the way suggested by the dotted lines it would have borne a complementary pair of clubs, ?•' and /•'-'. like /' and /- of the other side, placed like them in an oblique plane nearly corresponding with DPP of the Sell el Me. This specimen was kindly entrusted to me by M. Henri Cad.-au de Kerville. He tells me that he believes a description nf it has already appeared, but this I have failed to find. I have therefore ventured to describe it again, with apologies to the original describer. The specimen bears a label in the hand- writing of the late Major Parry and was no doubt in his cele- brated collection of Lucanidse. 800. Melolontha vulgaris : right antenna bearing a pair of incomplete supernumerary antennas (Fig. 177). The first joint is normal ; it bears a second .joint of singular form, consisting of a long anterior branch, and a short posterior branch ! the length of the anterior. The anterior bears two clubs in the manner shewn in the figure (Fig. 177). Of these R" ]-'i>.. 177. Mi'lnliititltn rul:/nlin<,' to the view that i- the noiiiiiil i-i^'ht cluli. /,, tlie Mi]ieniuiner;i,y lot't, and 11' the supernumeniry n^ht. (l-'icin \\'t CHAP, xx.] EXTRA ANTENNAE ARISING SEPARATELY. 523 one (R) is inwardly directed and is as wide as, but only £ the length of ;i normal club. The posterior of the two clubs (L) is directed b;i'-l. wards and has only four lamella; which are apparently united together. The other small club (A)() is also composed of only four lamella; which are similarly united together. In both L and /.'' t In- middle lamellae shew traces of further subdivision. The figure represents the three clubs as being all in one plane, but the club It' is really below //, which stands up from the normal antenna. It is mentioned that some of the tarsi u ere mutilated or defective. [Here L and K are clearly a complement- ary pair, though separately arising from the normal. It will In-, observed that as in Lereboullet's case (No. 790) the second joint, which is common to two clubs, is greatly elongated.] WKSMAEL, Hull. Ac. /!>•/!/., 1850, xvi. 2, p. 3S2,fig. *801. Navosoma sp. (Longic.) Left antenna abnormal. The joints of the normal are a little flattened from above downwards and are nearly elliptical in section. But the anterior border is differentiated from the posterior by the presence of two elongated patches of tissue covered with sensory pores. The two patches are both on the anterior border, one being on the dorsal surface and one on the ventral, separated from each other by a chitinous ridge. Upon the general surface of the peripheral joints of the antennae are several other such patches, but none are so distinct as those of the anterior border. The abnormal left antenna has the form shewn in Fig. 178. So far as the 8th joint it does L'+B' L'+B' FIG. 178. Navosoma, No. 801. Left antenna seen from below. Lettered on the view that E and L' are the extra parts. ,S, sensory patch. (In Hope Collection.) not differ from the normal. The 9th and 10th joints have besides their chief patches of sensory pores (&) on the anterior border, an additional patch (L' + R'} posterior to the chief patch. But up to the 10th joint there is no vertical division. The 10th joint however has two articular surfaces, anterior and posterior, in the same horizontal plane. Theposterior bears an apical (llth) joint of normal form, having anteriorly a sensory patch. But the apical joint borne by the anterior articular surface has two such sensory patches, an anterior and a posterior. This joint therefore contains in itself parts of a pair of joints. It is not quite fully segmented off from the 10th joint. Nevertheless it is difficult to suppose that the anterior joint is the extra pair in Secondary Symmetry, for its anterior patch, L*. seems to continue the normal series of patches, S, S, etc. Therefore the ].at.-he>. R and L' seem to be the patches of the extra pair, though one of Ui-m is on a separate joint and the other is applied to the normal. Taken with the case of Odontolabis No. 799 and .!/< 'lolonthu, No. 800, thia 522 MERISTIC VARIATION. [PART i. must, I tliink. In- judged to In- a possible account, and in this case It and // are, as i >••_'••! i-.U symmetry, in Position P. It is of course possible that /,* ami A' are really the extra pair in Position A, hut the presump- tion is rather the other way1. Specimen in Hope Collection at Oxford. cl) Cases <>t' h> c./fra antennae, Symmetry unknown. $02. 1" none of tin- following can any confident statement be made as bo tin- symmetrical relations of the parts. Several of the cases 1 have mvself seen, Imt I noticed no clear indications as bo their symmetry. A good many of them however were ex- amined b, .for.- 1 was fully alive to the importance of these matters in the case of filamentous antennae, and perhaps if they were studied with proper regard to the question of symmetry more mi-ht he made of them. Many cases that follow are mutilated or partly amorphous, ami of almost all the descriptions are very imperfect. Fin- our purpose some value attaches to these records as evidence of the distribution of such abnormalities, and to any person who may hereafter pursue the subject a fairly com- plete list of the references may be of use. To this therefore I >hall routine m\self: tor on reviewing the abstracts that I have mad.- of these examples it is clear that they only give the results of siipertirial examination. Speaking generally, in these cases, from some one joint of an antenna then- arises either a pair of extra antennas compounded for a greater or less extent of their proximal parts, or two extra antenna- distinct from their point of origin. The letters l\ ami L indicate the side affected, and the number following is approximately that of the joint from which the extra parts spring. In the greater number of sound cases the three branches lie in .»• nearly in a horizontal plane and are, I anticipate, in I'o-it ions A or P. Cases which seem from the indications to conform to the Scheme are marked ||. Mutilated or partially amorphous cases are marked . Blapa attenuata (Het.) H3 Malachius marginellus L 2 (Mai. I Timarcha tenebricosa II '.i il'hyt.) Clytus tricolor (Lonj,'.) L7 C. arcuatus L 1 Calopteron reticulatum L 1 I Mai.) Carabus monilis (Car.) L 3 C. auronitens L 7 Ptinus latro (1'tin.) L ."> Elater murinus (Klat.) I. - Zonitcs pracusta (Het.) li '.'> MOCQUEKYS, Coleopteres (inonnau.r, 1880, p. ;>,.////. Hid., p! 7,.«i/. /^/V/., p. 13, fi/i. ibid.", p. I'.l, //'//. //. -niptioii and ti^uic iiu-i.inrt. Apical joint of extra branch is litid. CHAP, xx.] EXTRA ANTENNA : OBSCURE CASES. Helops crrruleuH (Het.) R 5 SERINGK, Ann. Soc. Linn, de Lyon, 1836, PI. Dendarus hybridus (Het.) L 4 ROMANO, Atti Ac. sci. Palermo, 1845, N. S., l. fig. J Scraptia fusca (Het.) L 5 ROUOET, Ann. soc. ent. France, 1849,8.2, vn. p. 437. £ Carabus sacheri (Car.) 117 LETZNKR, Jahrexb. schles. Ges. f. vaterl. Kultiir, 1854, p. 86. Fimelia scabrosa (Het.) R2 BLACKMORE, Proc. Ent. Soc., 1870, p. xxix. Anchomenus sex punctatus L 6 KRAATX, Deut. ent. Zt., 1877, xxi. p. 56, (Car.) fig. 19. Calosoma investigator R 5 t'ii'rf., 1889, xxxni. p. 221, fig. (Car. ) || Dromrroius barnabita L 5 vox HEYDEN, ibid., 1881, xxv. p. 108, fig. 16. (Encn.) * + Carabus arvensis L 4 Specimen kindly lent by M. A. FAUVEL. 803. Meloe violaceus ? : between right eye and the base of the right antenna arise two supernumerary antennas from the head. Of these one has 3 joints and the other has one. KHAATZ, Deut. ent. Zt., 1877, xxi. p. 57, PI. i.fig. 22. The following example is mentioned here, though its nature is quite obscure. In it there is a suggestion that parts of two extra antennae are present, but the extra parts seem to be peri- pheral to the parts which they repeat. As my stay in Rouen was short I was not able to give as much time to this specimen as I should have wished '. 804. Melolontha vulgaris £ : left antenna abnormal. This case differs wholly from any other that I know of. I can only describe it in a most tentative way. The appearance when the lamellae were cleaned and separated was as shewn in Fig. 179. Joints 1 — 8 are fairly normal, but peripheral to this place there were FIG. 179. Left antenna of Melolontha nilTir VARIATION. [i-.urr i. a nmiilMT iif lamella •. ^>\ne like normal lamellae, others quite i insular. A- far afi I c.,iild make out, the divisions were as -hewn in tin- figure. and I have affixed numbers to the several l>:iris in illu-trat t«\\ <>\' their possible nature. The appearance suggests that thi-iv is an irregular repetition of a pair of clubs peripheral to tin- normal antenna, but I can form no opinion as to tin- morphology of the parts. Originally described by .Mm \>i i;i;vs. Col. anorm., 18(SO, p. 12, fiy. [Description and figure altogether misleading.] PAIRED EXTRA PALPI. 805. Bembidium striatum (Carabidw): left maxillary palp arises l.y a tirst joint enlarged towards its apex, bearing ////•"' sepa r,-ite terminal joints bead of one. < )i these joints one stands apart on a small process of the first joint, Inn the other two are placed close together, on either side ot the apex of the Hrst joint, and diverge from each other at about a ri^ht an^-le. JACQUELIN-DUVAL, Ann. Soc. Ent. France, 1850, Ser. 2, vin. p. ."i:;:;, I'/, it, ,\\i. 806. Helops sulcipennis (I let.): supernumerary, partially double apical joint arises from the 2nd joint of right maxillary palp. Tt is >et on /// r'n/lit niK/Iix to the plane of the normal palpus. JAYXK, H. F., Trams. Amer. Ent. Soc., isso. vin. p. Kil,///- H. S()7. Euprepia purpurea (Aretiida-): a specimen in which the right wings and ;uitriina were male and the left wings and antenna female, is declared to have !„,--, -,,-eil ,;// ,.1-trit ]>cs there is an extra pair of dactylopodites, or of indices, curving towards each other. The extra parts may then greatly n--<'inble the dactylopodite (or "pollex") and index of ;i normal chela, and many authors have not unnaturally supposed that the extra parts were actually an extra pair of forceps re- |n-ating tlmse of the normal chela. This may easily be shewn to be an error, from the fact that it is often possible by some slight struetural difference between the pollex and the index to detect that both extra parts are either both pollices or both indices. But the fullest disproof of this supposition is found in the fact that the great majority of the phenomena will be readily seen tn conform to the principles enuntiated for Secondary Sym- metries iu Insects (p. 479). A good many authors from the time of ROSEL VON RosENHOF1 • in wards have said that these cases are a result of injury, or of regeneration after injury. For this belief I know no ground. It should be remembered as an additional difficulty in the way of this belief, that when the limb of a Crab or Lobster is injured it is usually thrown off bodily, while the extra parts most often spring from the periphery of the chela. But since, according to HEINEKEN", such mutilated parts are sometimes retained, this muM not lie insisted on. In the IMM of an ambulatory leg the surfaces may be named as in an insect (\\ithout any suggestion that these names denote true homolugies between the surfaces so named). In describing chelae I propose to use the following arbitrary terms. The border upon which the dactylopodite articulates is the pollex-border, the i.|ip.i>ite border being the i mles-border. It should be noted that in the Crab the pollex-border is superior, but in a Lobster' it- is ( I i Clear cases »/' /•„'./•/ /*/ l'I , Insekten-Belustigung, 1755, in. p. 344. ' III IM KIN. ZOOl. -'"lir. IS'JS '.".I, IV. p. -JS|. 1 It is \\orlh untiring that in tin- rh, la of u Scorpion though a close copy of that of a Decapod, tin1 an-aiignm-nt i> reversed, the articulated pincer being external. CHAP, xxi.] SECONDARY SYMMETRY : CRUSTACEA. 527 each bearing a complete leg. When seen by me the leg marked L' was lost. FIG. 180. Palinurus vuli/aris, No. 808. Left penultim ate walking leg. (After Leger.) I could not quite satisfy myself as to which of the three was the normal, but it was clear that R' was in form a right leg and that the other two were lefts. If the leg L' is the normal, it has been pushed out of place by a pair of extra legs in Posi- tion DAA, but if R' and L' be the extra legs, then the most anterior leg is the normal and has been pushed out of place by a pair in Position VPP. For an opportunity of examining this specimen, I am obliged to the courtesy of Prof. A. MILXE EDWARDS. Originally described and figured by LEGER, M., Ann. Sci. Nut., Zool, 1886, S. vii. I, p. Ill, PI. G. *§09. Lithodes arctica : 2nd leg on right side has terminal joint as shewn in Fig. 181, II. If R be the normal then R' and L' are a pair in Position V, but if R' be the normal then A' and L' area pair in Position D. Attention called to the great diminution in size of all three termi- nations as compared with the normal (Fig. 181, I). Original description, HERKLOTS, J. A., Bijdr. tot i n/'i-tii-d, normal terminal joint of ambulatory leg. II. S.-roiid lij-'lit lc_' dt' Nu. 809. (Both after Herklots.) III. Carcinnx mcenas, No. sll, M cond uniliulatory leg. (After Duns.) P, normal terminal point. P\ /'". extra terminal points in Position D. B. C It elate Appendages. (a) Tn'n t'.i'fru dactylopodites and double extra indc./'. Eriphia spinifrons $ : specimen of unusually large size, normal but for It-it i-hi.-la shewn in Fig. 182, I and II1. The '•ln'l.-i bore normal left dactylopodite, LD, and index, LI; also, upon pollex-border the structures shewn. These consisted of two dactylopodites, II' 1). I.' I), working opposite each other on a com- pounded double index, /»''/, L'l, which had two toothed borders, one for eaeh of them. This is therefore a pair of chelae repea i • •• I in Position l> [if indeed the dactylopodite mark the dorsal surface]. Taken from 1 1 I:I;K LOTS, Arch. mVr/., 1S70., v. p. 412, PL XI. 1 In rmnirxioii \\itli this case UK UK LOTS states that the rt. chela in the normal ill.- larger ;nid othrrwisr ilittVrs fnun the- left (1 in 8 being reversed in this rrsprrt). It ilors not si cm from the tiguri1 that there was such differentiation ih. f\ira piiir, luit in future cases this point should be looked for. CHAP. XXL] SECONDARY SYMMETRY : CRUSTACEA. 529 813. Astacus fluviatilis : about 3 years old according to Sou- BEIRAN'S (Comp. Rend. 1865, LX. p. 1249) account. Right chela ap- parently deformed by injury or disease. Left chela had all normal m FIG. 182. I and II. Eriphia spinifrons, No. 812. I. A view of the left chela. II. An enlarged view of the extra parts from the other side. LD, LI, normal left dactylopodite and index. R'D, L'D, right and left extra dactylopodites. RI, L'l, right and left extra indices not separated from each other. (After Herklots.) III. Cheliped of Homants americanus, No. 814. (After Faxon.) D, I. normal dactylopodite and index. D', D", extra dactylopodites. I', I", perhaps an indication of double extra indices. IV. Astacus ttuciatilis, No. 813, left chela. L, normal left dactylopodite. R'D, L'D, right and left extra dactylopodites. L'l+R'I, left and right extra indices not separated from each other. (After Maggi.) parts and in addition the structure shewn in Fig. 182, IV upon the pollex-border of propodite. Here was a boss, separated by a groove. It was observed that the structure was that of a rt. and 1. dactylopodite working upon a double index [as in last case]. Structure of muscles, fully described, was also in agree- ment with the view that the extra parts were a complementary B. 34 530 MERISTIC VARIATION. [PART I. pair [similarly in Position D]. MAGGI, L., Rend. R. 1st. Lomb., I .ssi. xiv. |,. :;:;:>,//-/>•. 814. Homarus americanus : small cheliped as shewn in Fig. 1S2, 111. Il bears ..... -mal dactylopodite (D) and index (7), but this I .a i-i is bent almost at rt. angles. From the outer angle arise tin- part- shewn. Apparently D' and D" are a complementary pair iif extra dactylopodites in Position D. The piece I' + I" is imt described; from the figure it seems possible that it may represent parts ,,f the indices proper to D' and D". Case given by FAXON, Harv. Bull., 1880—1, vin. p. 261, PI. II. tig. 2. Cancer pagurus : right chela as shewn in Fig. 183. This is a case of some conijilcxit v. The tigure will best make it clear. The daetylo- podite l> is .single and so also is the index P. D is a double dactylo- poditc. and ]" having teeth on two sides may be judged to be a double index. But if D' and P are the normal chela they each stand opposite s | :, Fi<;. IHH. C,ui,;-i- ixiiniriix. No. 815. Rfcht cliela seen from the apex, and from the outside. The lettering is aiTan.u'e.l on the hypothesis that D' is the normal ila<-tylo|ic>.lite, /' tlf normal index. /*; the double extra daetylopodite, /'', siiiiill iloiilil.' extra indrx. (From /'/•«.•. Zool. Soc.) the pincers to which they do not belong. Nevertheless I see no other inter). relation possible. (This ease is curiously like that of the tarsal claws Ln l!hl\«i,-n,ii'K No. 7*11.) Specimen incorrectly described by myself, /'. /.. S., L890, p. 581, iig. 2. C. ,S 1 U. Cancer pagurus : right chela in a condit ion not far removed from that of the last case, u; Si';\i';('ll.\U /In//. .S'oc. Zool. France, 18SS, p. 123, si7 Uca una : a chela ha\ing complex repetition of parts somewhat as in No. *\~>. -I \I-:CKK, <•., Julirmli. ) Tit'o e.iii'ii dactylopodites arising from normal dactylo- podite. * this and the next division belong the great majority of CHAP, xxi.] SECONDARY SYMMETRY : CRUSTACEA. 531 cases of repetition of parts in Crustacea. Including examples recorded by various authors and specimens in different Museums there are nearly fifty cases of this class known to me. FIG. 184. Three cases of two extra dactylopodites arising from a normal dactylopodite. I. Left chela of Carcinus manas in Brit. Mus. II. Left chela of C. mcenas after LUCAS, Ann. Soc. ent. France, S. 2, n. p. 42, PI. I. jig. 2. III. Eight chela of Homarus, after VAN BENEDEN, Bull. Ac. Belg., S. 2, xvn. p. 371. FIG. 185. Cancer paimm*. Two chelte of the kind specified in No. 818, described by myself in Proc. Zool. Soc., 1890, p. 581, whence tigs, are taken. 34—2 532 MKRISTIC VARIATION. [PART i. The various simple forms taken are illustrated by the eight case> shewn in Fig<. 1S4, is:, and 186. It will be seen that when such extra processes arise on the toothed border of the dactylo- podite they turn th.-ir * mouth borders to each other, but when II HI FKI. 186. llonianix nnu'ricanus. Three chela} whose dactylopodites bear double extra dactylopoditos. I. A left. II. A left. III. A right. Ii, normal right. L, normal IH't. A1', extra right. L', extra left. (From Faxon.) they arise on the smooth border they turn their toothed borders to each other, thus fulfilling the conditions of the Scheme given at p. 4S1. Though from the close agreement between the three prongs in some of the specimens it is not always possible to tell the normal dactylopodite with certainty, it will be seen that in these the rules hold whichever of the two possible prongs be supposed to be the normal. 819. Astacus leptodactylus : left chela has dactylopodite as -hewn in Fig 1ST, II. Presumably D is the normal pushed out of place, and D' and D" are the two extra dactylopodites. They are so placed that none meets the index. KAROLI, J., Term. FH:i't,-l.; 1ST 7, I. p. •>:{, PI. II. CHAP. XXI.] SECONDARY SYMMETRY : CRUSTACEA. 533 I U FIG. 187. I. Cancer pagurus, No. 820, right chela. Specimen in Coll. Surg. Mus. II. Astacus leptodactyhis, left chela, after Karoli. 820. Cancer pagurus : somewhat similar case in rt. chela (Fig. 187, I) ; but here the normal, R, stands in its normal place. In Coll. Surg. Mus. *821. Homarus americanus : dactylopodite only of right chela preserved. It is bent sharply downwards, out of the plane of the " hand," and bears upon its upper surface two pairs of blunt, toothed processes [probably being rudiments of two pairs of extra dactylopodites]. FAXON, I.e., p. 261, PI. II. fig. 1. 822. Homarus americanus : dactylopodite (a) bent upwards and outwards, crossing index without meeting it (Fig. 188). From the smooth border of dactylopodite arise two toothed processes FIG. 188. Homarus americanus, No. 822, left chela, a, normal point of dactylopodite. b, c, extra points. (After Faxon.) (b and c) curving towards index. [I take it that this is some- thing like the cases of Position A in Insects (p. 481) but from the original figure the relations cannot be quite decided.] FAXON, I.e., p. 260, PI. I. fig. 15. 534 MERISTIC VARIATION. [PART i. (c) Tiro c.rtrn i IK I ices arising from a normal index. *823. This again is a fairly common form, though much less frequent JU LI R' II FIG. 189. I. Eight chela of Homarus americanus. R', L', right and left extra indices not separated from each other. (After Faxon.) II. llomaritx I'ulguris, ri^ht chela in Brit. Mus. III. //. ruli/nria, right chela bearing extra double index. li ;md L', not separated. (After LUCAS, I.e.) R' Fm. 1HO. I. Left chela of Cun-iun* itio'ini*, indices only shewn, rf, place of articulation of dactylopodite. In Coll. Kurg. Mus. II. A similar case in lli'iii'irna iiiiii'rii-iiniis, nfti'r Faxon. /,, normal left index, li', L', extra right and left indices. CHAP, xxi.] SECONDARY SYMMETRY : CRUSTACEA. 535 than the last. The cases known to me amount to about ten or fifteen. Seven cases are illustrated in Figs. 189, 190, and 191. I. FIG. 191. Two cases of extra indices in Cancer pagurus. I. In Coll. Surg. Mus. II. After le Senechal. R, normal right index. L, normal left. R', L', extra rights and lefts. (d) Simple processes, probably being rudimentary extra pairs of indices or of dactylopodites. *824. Many such are described, but of few can anything be said with confid- ence. A comparatively simple case is shewn in Fig. 192, where there is a decided suggestion that the process L' + R' is morphologically a pair of indices that have not separated from each other but stand compounded by their toothed borders. On comparing this case with for instance, Fig. 191, II, it will be seen that the two conditions might readily pass into each other in the way so often seen in Insects. Other cases of a more doubtful cha- racter are shewn in Fig. 193. Though in each the nature of the extra part is obscure, it is probable that they are all rudimentary states of the repetitions described. The alternative view that they are single repetitions certainly can- Fio. 192. Left chela of Portu- not be applied to all, for in many the UJIS P"bc>' {Jom ^ SENECHAL, Hull , . ,, •',,., .Soc. zoo/, trance, 1888, xin. p. 125. i-xtra process, though in the plane of the L> normal illdex L, + /r%pah. index and dactylopodite, is similar on of extra indices in Position V. 53G MERISTIC YAIMATIMN. [PART i. I'm. 193. I. Eight chela of C. pagurus in Coll. Surg. Mus. /,'. ri^-lit index. II. Similar s]>. rimen whose dactylopodite bears x, a supernumerary process. In Coll. Surg. Mus. III. Attacus fluviatilis, left chela bearing .r, a supernumerary process. /,'/, III), right index and dactylopodite. (After LUCAS.) both its faces in this plane. There is however no doubt that the tli-tinctidii between these cases and true duplicity is hard to trace and jiuxMbly enough it is not really absolute. A.-* each case differs from the others I give a list of those not in private col- lections1. The ? indicates that the case perhaps approaches the condition of true duplicity . E, ri;i lit. L, left. D, dactylopodite. I, indi'.r. El TIEDEMAXN, Meckel's Airli., 1*19, v. p. 127. PL u. Jig. 2. JAEGER, G., Jahri-xli. I"-/-, riitrrl. Xatttrk., 1851, xvn. p. 35, PI. i. fig. 7. id., MeckeVsArch., 1*2(1, p. 95, PL u.n a normal chela. What is R -t- L' ? FAXON, carefully describing the case, thinks that R + L' is a rudimentar\ and reversed ropy of 7i', and that the ease is one of duplicity, lint from the particulars given, and especially from the circum- stance that the carpopodite was "much more spiny' than tin -mal. I think it likely that A" + // is morphologically a double structure formed of a jtnir of carpopodites compounded together. 1 \Vitli these may pnli.1]., lie mentioned the following: Apus cancriformis. having upon the K>th foot a second -mall llabelhim shaped like the normal flabellum. The In act was greatly reduced in size. LANKKSTKK, E. E., y.J.M.S., 18S1, xxi. p. 350, PI. xx. tig. 12. [In explanation of Plate the abnormal foot is called the 30th.] CHAP. XXL] CRUSTACEA : EXCEPTIONAL CASES. 537 Without having seen the specimen it is impossible to say much, but the parts should be examined with a view to this possibility. I conceive that the large spine marked by Faxon sp' stands on FIG. 194. Homarus americanus, No. 826. A right chela. (After Faxon.) the morphologically middle line between the two extra half- meropodites.] FAXON, Harv. Bull. vin. p. 2G2, PL II. fig. 6. *827. Astacus fluviatilis $ : large adult. i. Abdomen wide in comparison with slender chelse: otherwise normal except left chela. This was formed as in Fig. 195. All normal except carpopodite, from which arose a fixed piece seeming to be an extra misshapen carpopodite, bearing three extra chelce, L', R and x. [R1 and L' are a clear pair of images L' being right and left respectively. But between R and the normal L there is the third extra chela x. As to the nature of this nothing can be said. Whether it is a left or a right cannot be told from fig. So far as I know, FIG. 195. Astacus fl this case is unique. Full description 827, left chela. L, the normal. J!\ and measurements given in original, %£TES£5 q. V.] CANTONI, Rend. R. 1st. Lomb., nature. (After Cantoni.) 1883, xvi. p. 77 1, fig. 538 MKIMSTIC VARIATION. LI-ART I. C. Antenme. *828. Palinurus vulgaris : right antenna bore three complete filaments. So tar as last spiny joint (merocerite) normal. Of this joint the peripheral portion much enlarged, presenting two articulations The most posterior bore a normal rarpoeerite and fila- ment (Fig. 1!»C, I). The anterior articulation bore a double carpo- cerite with two ti laments (II and III). As author points out, II is structurally a /<;// antenna. [By the kindnes- ,,f M. Alphonse Milne Kd wards I have been allowed to examine thU specimen. I am not -ure that I sue, -ceded in correctly determining the surfaces of the extra antennae, for the basal parts were not very fully formed ; but according to my determination their relations differed markedly „ ,, ,.., ,."' FIG. 190. Proximal parts ot the right from those of any of the Schematic antenna of Palinurus ruiaaris, No. 828. positions, for while the position I, the normal. II, extra left. Ill, extra of origin is VVA the two extra right. (After Leger.) antenna' stand very nearly in the Position DA.] L£GER, Ann. svi. nat., Znn/.. issi;', S. 7, i. p. 1UO, PI. (i. *. Obs. 01. /'/. CHAPTER XXII. DUPLICITY OF APPENDAGES IN AKTHROPODA. THAT there should be such a thing as a limb double in the sense in which the following are double, has always seemed to me most strange. We know that a segment of an Annelid, or a vertebra, may be on one side of the body divided to form two segments or two vertebra (as in No. 88 or No. 7) while on the other side of the middle line the segment is single. This is in keeping with all that we know of Division of parts in Linear Series. So might we suppose that a parapodium, or a rib, or perhaps a litnb-bud might divide into two ; but the two half- segments or half-vertebrse are in Succession to each other, and are not complementary images of each other as these double- limbs are. That a parapodium may divide into two Successive para- podia is possible enough, though, apart from division of the segment bearing it, I know no clear case. But it may be stated at once that in Arthropods and Vertebrates such a phenomenon as the representation of one of the appendages by two identical appendages standing in Succession is unknown. No right arm is ever succeeded on the same side of the body by another arm properly formed as a right, and no Crustacean has two right legs in Succession, where one should be. The only cases at all approaching this state are those of Macacus No. 504 (q. v.), a case that must be interpreted with great hesitation ; and of the Frogs described by CAVANNA and by KINGSLEY, also doubtful cases (see Chapter xxni). But though such repetition is probably unknown and is perhaps against Nature, there are still these strange double-limbs : two limbs, always I believe imperfect, placed not in Succession, but as complementary images of each other, more or less exact. These we have seen in the hand of Man and in the feet of Artiodactyles ; we have now to study them in Insects and in Crustacea1. 1 With mistrust I name cases in Amphibia and Fishes, perhaps of this nature. Lissotriton punctatus (Newt): left pes having 10 dibits in two groups, 6 and 4. Coll. Siinj. Max., Tcr. tier.. 293, A [not dissected]. Protopterus annectens : rt. 540 .MKRISTIC VARIATION. [PART i. < )n thr morphology or -i-niticance of duplicity in limbs I can make no comim-nt li«-y<'inl the few remarks given on p. 4UG. It is just pre 1 shall only give particulars of those few cases which are better established or otherwise of special interest, letting the rest follow as a list of references. It will not be forgotten that whenever an extra part is in itself symmetrical it always may be a double structure, and the special application of this fact to cases of extra filamentous an- tennae must in particular be borne in mind. CRUSTACEA. *831. Hyas araneus : a left chela having the form shewn in Fig. 1!»N, 11 and III. Fig. 198, I shews a normal left chela of this species from the outside in the same position as II. In the abnormal specimen the dactylopodite D is normal save that pectoral fin double, the division being in a horizontal plane, so that the two filaments \\cn- dorsal and ventral to each cither [cp. No. 503]. ALURKCHT, Sitzli. Ak. J I"/. -•.•>•. Ilerl., IHSI;, ]). .")!.",, 1>1. vi. Silurus glanis : extra tin attached to pelvic girdle and partly to rt. pelvic fin. WAIU-ACHOWSKI, Anat. Auz., 1888, in. p. 379, J'KJ. Rana esculenta : left hind foot double; rt. not seen [a very clear case]. EHCOLANI. M.'in. Ace. i:«l«!in'i, 1881, S. 4, in. p. 812, PI. iv. .//.'/• H. In Kaiiilie u group of cases of extra fin are known. They are upward projections from tin dorsal surface near the middle line. They are often spoken of as "dorsal" 790'' tins, but in the- only case 1 have seen (/',//•/* .!/«„•. X, [[., -1- - , kindly shewn me by A Prof. L. Vaillant) the- attachment i- not really median but is slightly oblique, and -eeins, from external examination, to spring from some part of the pectoral girdle (? left scapula). See LAC-KI^IU-: (who named such a tish "linja cucieri"), Hixt. nut. dei Pom., 17'.i8, i. p. Ill, 7V. vii. ; Ni:n.i., M,-,n. WITH. 's,»c., 1808, i. p. 554; MoiiKAf, /'ii/*.<. ' I" France, issl, i. p. '200. In these fishes the real dorsal tin* were in the proper place (though in some species they may be far forward, FORSKAL, l>i-si-r. Aniiii. in itiu. (>i-i<-iit., 177-"i, i. JL 1H). This repetition is of course cpn'te distinct from that other curious and also Discontinuous variation in which the pectoral.^ are partis divided into two lobes (R. clavata, YARKELL, Brit. Finli., ed. IJic-iiAKhsnv, is.v.i, u. )i. 586); or are separated from the head so as to project like horns on cither side, as in lust case; and also in R. clavata, YAKKKI.L, ilnd.; p. 384; DAY, /;;•//. I-'i*li., u. ]<. '•^•'. I'l. CLTUU. fig. 'J : in R. batis, DAY, I.e., p. 337; in R. asterias. Hi ui \i , Hull. sac. zool. Frum-i; 1889, xiv. p. 313, Jig. CHAP, xxn.] DOUBLE APPENDAGES I ARTHROPODA. 541 its point is rather worn. Where the index should be, there is a great eminence, bearing apically a second articulated dactylo- pudite D', complementary to D. Between the two dactylopodites FIG. 198. lit/as araneuit. I. A normal left chela. II. The left chela of No. 831 from the outside. III. The same from the inside. D, normal dactylo- podite. D', extra dactylopoclite. j, normal index, j', a small index toothed on both sides. (In Brit. Mus.) at the inner side of the eminence there is a fixed short process, j', which is toothed upon both the edges which it presents to the two dactylopodites. Round the articulation of D' are seise like those round the place of articulation of D. Specimen in Brit. MHS., kindly shewn to me by Mr R. I. Pocock. 832. Cancer pagurus : right chela. Dactylopodite and index each double in the way shewn in Fig. 199. Each is toothed on the side presented to the other half-pincer. Note that there is no proof that one or other of these points is not a pair compounded in Position A or P, but since both seemed equally to diverge from the normal plane of the propodite this is most unlikely. Specimen in Museum of Newcastle- upon-Tyne. 833. Homarus americanus : right chela shewn in Fig. 200, I. Two dactylo- podites separately articulating. Index bifid at apex and bearing two rows of teeth, one on each edge. Dactylopod- ites did not meet index. FAXON, Harv. Bull., vni. p. 260, PI. I. fig. 13. 834. ? Hyas sp. Right chela. Dactylopodite single and in normal plane. Two separate and similar indices, each toothed as usual, FIG. 109. Bight chela of dactylopodites. i\ r, two partially separate indices. (In Newcastle Mus.) 542 MERISTIC VARIATION. ./,!) [PART I. FIG. 200, I. Ilfliiiarun uincricanus, right chela, No. 833. (After Faxon.) II. Litpn (lictiiitha. left chela, No. 836. LD, LI, left dactylopodite and index. x, supernumerary index. (After Lucas.) making angle of about 4") with each other. This angle almost exactly bisected by the plane in which dactylopodite moves. Bell Collection, Oxford. 835. Maia squinado : from inner side of base of index of right chela arises a second index as shewn in Fig. 201. It is about half as large as the supposed normal index. The latter is dis- placed outwards. Dactylopodite moves in ap- proximately normal plane, missing both indices and falling between them. Specimen kindly lent by Prof. 0. Stewart. FIG. 201. Ki^'ht chela of Main x, n. p. -i:i, PI. i. fig. 1. ,s:;7. C. pagurus, right chela, 2 cases, LK SKXECHAL, Bull. Soc. ZooL Fi-H /ir>', isss, xm. p. 12-"), Ji1, is the only one of the kind that I have seen. *85 1 . Tenthredo ignobilis (Tenthred., Sawfly) : extra leg arising from prothorax, on the left side of the body, at some distance behind the proper left anterior leg. Behind the anterior legs the prothorax of a normal specimen presents ventrally an elevation on each side of the middle line ; the point of origin of the extra leg is about halfway between this elevation and the socket of the coxa of the normal left anterior leg. The specimen had been a good deal injured by being pinned very nearly through the point of origin of the extra leg,' and on relaxing the specimen and attempting to restore the parts to their former positions I unfortunately broke off the extra leg from the body1. The leg is fairly well formed, but is a little shorter and a good The specimen has been mended as nearly as possible in the position originally occupied by the leg. As it may pass hereafter into other hands, it may be well to CHAP, xxii.] SUPPOSED CASES OF DOUBLE LEG. 547 deal more slender than the normal anterior leg. Owing to the slight degree to which the anterior legs of this insect are structurally differen- tiated from the middle legs, it cannot be positively stated that the extra leg is in form an anterior or a middle leg, but in sixe and general conformation it approaches very nearly to that of an anterior leg. It is complete in all its joints, having normal ciliation and claws, but the spurs are entirely absent from the apex of the tibia and probably have never been formed. This is an unfortunate circumstance ; for, inas- much as the anterior spur of a normal anterior tibia in this species is markedly differentiated from the posterior spur, it would have been easy to determine the surfaces of this leg had the spurs been present. As it is, the matter cannot be positively decided, and it must suffice to say that the general form of the leg and the shape and curvature of its joints are such as to make it appear to be fashioned as an anterior leg and as a leg of the side upon which it occurs, namely, the left. This specimen was most kindly lent for description by Mr C. W. DALE, of Glanville's Wootton, Dorsetshire. It is the specimen mentioned in Ann. and Mag., 1831, iv. p. 21. §59 Elater variabilis (Elat.): complete extra leg articulating by separate coxa close to right anterior leg. GERMAR, E. F., May. der Hut., n. p. 335, PI. I. fig. 12. [This case has been copied by many authors. The figures represent the right fore leg and the extra one as normal right legs, but they are not sufficiently detailed to give con- fidence that this was so. If the specimen still exists it is to be hoped that it may be properly described.] OKO This is a list of all remaining cases in which it is in any way possible that there '' is duplicity of a leg. The point of origin is shewn approximately. * , seen by myself. J, partly amorphous or mutilated. 0, no description. R, right. L, left, tr., trochanter. f, femur, tb, tibia, ts, tarsus. Osmoderma eremita1 (Lainell.) L 1. c. Xttallodon sp. (Lougic.) Fasimachus punctulatus (Carab.) Broscus vulgaris (Carab.) Agonum sexpunctatum (Carab.) J Carabus septemcarinatus c? ', Carabus nemoralis Carabus creutzeri ? Procrustes coriaceus2 (Carab.) Mcloe coriaceus (Het.) 0 Carabus hclluo 0 Trichodes syriacus (Cleridae) £ Chrysomela haemoptera (Phyt.) E3. c. L2. tr. E 1. tr. B3. f. R 3. f. L 3. f. L 1. f. R3. f. LI. f. El. f. E 1. f. ? 3. f . MOCQUERYS, Col. aiiorm., 1880, p. 46, fig. ibid., p. 50, fig. JAYNE, Trans. Amer. Ent. Soc., 1880, vm. p. 156, PI. iv. fig. 4. IMHOFF, Bet: Verh. nat. Ges. Basel, 1838, in. p. 3. SCHNEIDER, Jahresb. schles. Ges. raterl. Kitltui; 1860, p. 129. KRAATZ, Dent. cut. Zt., 1877, xxi. p. 57, PI. i. ri\ti-r.) i L 3. tb. KHAATX, Iii'iit. <-nt. /.t.. 1*77, xxi. ]>. 51',, 1-1. i. fig. 14. ; Procrustes coriaceus (Carab.) R 3. tb. OTTO, HKIIM., /. c., 1877, i. }>. •">-', I'l. u. ; Carabus melancholicus J R3. tb. Ki:\\ i /.,l>>-ut. cut. /t., 1880, xxiv. p. 344. ; Tenebrio granarius I Ilet.) L3. tb. Moini BBTS, I.e., p. I'.i,"./. * Calosoma auropunctatum (Carab.) R 1. tb. Lent by M. H. (JAM AI i>i: Ki B- VILI.I '. U Silpha granulata (Clav.) R3. tb. RALTSA, \), that many antennae are without obvious differentiation l)d wrrn their anterior and posterior surfaces. As Kraatz has pointed out, it is especially in such forms as Lamellicorns or Lucanid.-i' that extra antennas are found double, and I think there is an obvious inference that this greater frequency in them is due to the fact that the two borders are so markedly differentiated that the duplicity cannot easily be disguised. I have sometimes faneied too that perhaps the existence of this great differentiation between the two borders may actually contribute to the physical separation of the two extra parts in the Positions A and P and thus prevent that masking of the duplicity which is seen for instance in Karnxoma No. 801. However this may be, special importance must be attached to the few cases in Lamellicorns, Lucanidse and the like, where there seems to be a single extra part, making that is to say a duplicity of the antenna. Cases of this kind that I have myself seen I therefore treat more fully, and it mav be stated that in none of them is there anything that can be called clear duplicity. In many on the contrary the extra part is nearly cylindrical, and thus symmetrical in itself. Hence it mav possibly be morpho- logically double. Of the remainder I can give no confident account. Kor as has been said, though many, e.g., Zonabris 4-i>tincf!'iit. ent. Zt., 1877, xxi. p. 55, fuj. 9, and SARTORIUS, Wien. I'tit. Monats., 1861, v. p. 31. ibid.. fi., ls:;i, S. 1, in. p. 174, PI. i. PI-KTY, Mi ttii. nut. (lex. lli-rn, IsCiG, p. 307, Jig. I. GKEDLER, Corr.-Bl. zool.-mitt. Vcr. 11,'iK'nsb., 1877, xxxi. p. 139. ibid. Ann. and Mag. .V. H., 1841, p. 483. VON HEVJIEN, Jh-ut. cut. Zt., 1881, XXV. J). 10'.), HIJ. R 10.) SARTORICS, Wien. ent. Moiuits.,1858, ii. p. 49. Ilrit. Mns. KRAATX, I.e., p. 56, fuj. 17. ibid., tin. 10. ibitl., 1881, xxv. p. 112. ibid., 1877, xxi. p. 51, Jig. 24. GREDLER, I.e., 1858, xn. p. 19-5. JAYXE, Trans. A mcr. Ent. Soc., 1880, vm. p. 155, PI. iv. ji;/. 1. L 10. MOCQUERYS, Col. anorm., 1880, p. 17, fig. ibid., p. 10, Jig. GREULER, 7. c., 1869, xxm. p. 35. VON HEYDKN, Deut. ent. Zt., 1881, xxv. p. 109,.%. 19. ibid., ji>i. 18. R2. Ro. L8. 8. L5. 9. L2. L8. R9. L7. 5. R9. L9. R 6. R8. ? R6. R8. R5. Rhynchites germanicus (Khyn.) (J_j_ j. ) Cryptophagus scanicus ? (Clav.) C. dentatus L. R 10. L 9. R9. L3. 0 Monotoma quadricollis (Clav.) R. Chrysomela cacaliae i (Phyt.) L 7. A iH in oiii a tanaceti (Phyt.) L5. LUCAS, Ann. Soc. ent. Fr., 1843, S. 2, i. p. 55, VI. KI;\\TX, I.e., 1870, xx. p. 378, .////. Lent by Dr MASON. K i: \ vr/., I. c. , 1S77, xxi. p. 57,.%. 25. Suirtnars, JCiV/i. flit. Mounts., 1861, v. p. 31. IXKY, ('., A/in. Soc. Linn, de J.I/«H, lss-2, xxx. p. 424. ItETZSKRjJakresb. sehles. Ges. vati-rJ. Kultur, 1855, p. 10(i. SCHNEIDER, ibid.. 1860, p. 129. CHAP, xxir.] SUPPOSED CASES OF DOUBLE ANTENNA. 551 HBTEEOMEEA J Sepidium tuberculatum Zonabris quadripunctata Elcodcs pilosa * Blaps chevrolati B. cylindrica B. similis Akis punctata LONGICORNIA 0 Frionus' sp. Aromia moscliata ditto ditto J Cerambyx cerdo ? J C. scopolii c? ; Lamia textor * t Strangalia atra S. calcarata * J Solenophorus strepens'-' Clytus arcuatus Hammaticherus licros Callidium variabile L5. PERTY, /. c.,fig. 10. L 6. KRAATZ, I.e., 188'J, xxxiu. p. 221, fuj. 14. 119. JAYXE, I.e., p. H>l,Jlg. 13. L7. MOCQUERYS, 1. c., p. 11, Jig. L 3. ibid., p. 6, Jig. B8. VON HEYDEN, /. c., p. 10!), Jig. 22. L3. BAUDI, Hull. Soc. ent. it'aL, 1877, ix. p. 221,.%. 10. Ann. and Mag. N. H., 1841, S. 1, p. 483. 6. KBAATZ, /. c., 1889, xxxra. p. 221, Jig. 15. R2. MOCQUEKYS, /. c., p. 18, Jig. L 5. Lent by Mr JANSON. L6. VON HEYDEN, /. c., p. 109, Jig. 23. E3. KRAATZ, I. c., 1877, xxi. p. 56, Jig. L 1. SMITH, F., ZooL, vi. p. 2245. LI. MOCQUERYS, I. c., p. H,Jig. ? GREDLER, I. c., 1858, xii. p. 195. B2. MOCQUERYS, /. c., p. 23, Jig. B 5. VON HEYDEN, Jig. 21. L7. KLINGELHOFER, Stet. ent. Zt., 1844, v. p. 330. L3. MOCQUERYS, I. c., p. 24, fy. Lyons sp. (Mai.) * Telephorus lividus (Mai.) T. rotundicollis 0 Elater hirtus (Elat.) Ampcdus epbippium (Elat.) Chiasognathus grantii (Lucan.) *859. L 1. VON HEYDEN, /. c., p. 109, ^7. 17. L 2. Lent by Mr F. H. WATERHOUSE. B2. JAYNE, I. c., p. 159, Jig. 11. 9. BASSI, Ann. Soc. ent. Fr., 1834, S. 1, in. p. 375. B6. KAWALL, Stet. ent. Zt., 1858, xix. p. 65. L6. WESTWOOD, Proc. Linn. Soc., 1847, i. p. 346. Macrognatlius nepalensis (Lucan.) B3. KRAATZ, /. c., 1880, xxv. p. 342, Jig. 10. Julodis clouei (Bupr.) B5. BUQUET, Ann. Soc. ent. Fr., 1843, S. 2, i. p. 97, PI. iv. Extra antenna arising from the head. Callidium violaceum ? (Longic.) B. VON RODER, Ent. Nachr., 1888, xiv. p. 219. Saperda carcharias (Longic.) L. BITZEMA Bos, Tijds. v. Ent., 1879, xxn. p. 208, PI. * Cerambyx cerdo (Longic. ) L. KRAATZ, l>cut. ent. Zt., 1889, xxxiu. p. 222, A?- 23. 3. Palpi. Subject to the reservations made in regard to instances of duplicity in antennae, &c., the following examples of supposed duplicity in palpi are given. *S60. Nebria gyllenhalli £ (Carab.) : maxillary palps abnormal. 1 I suspect that this is Navosoma No. 801. 2 Doubtless the specimen mentioned by LUCAS, Bull. Soc. ent. France, 1848. S. 2, vi. p. xix. 552 MHRISTIC VARIATION. [PART i. Fig. 20G, I, shews the normal form of a right maxillary palp. l-'i.;. 206, II, represents the right palp of this specimen. Tin- 1st and 2nd joints arc much thickened and the latter has N hairs (instead of 4) and two apical articulations, the anterior bearing nr. FIG. 20f>. Nebria gyllenhnlli, No. 8I')0. I. Normal right maxillary palp. II. Right palp of this specimen. III. Left palp of the same, m, terminal membrane. (The property of Dr Kraat/..) an apparently normal terminal joint, the posterior bearing a symmetrical piece ending in a sharp point with no membrane like that at the apex of the normal. The left palp of this specimen is shewn in Fig. 206, III. In it the 2nd joint has 8 hairs instead of 4, and the terminal joint though very much enlarged is not divided at all. For the loan of this specimen I am indebted to Dr G. KRAATZ who first described it in Berl. ent. Zt, 1S~:>. xvn. p. 433, yfy. 12. 861 . Carabus splendens : penult, jt. of 1. labial palp enlarged, and bearing two nearly similar jts. [broken before seen by me]. MOCQUKKYS, I.e., p. 29, .////. 862. C. auratus: 1st. jt. of 1. maxillary palp bears two similar branches at rt. angles to each other, each with two jts. [Specimen not scon.] MOCQUEHYS, /. <•.. p. 30. ji. .'{'2, fiii. 4. Mandibles. 864. Lucanus. Three cases are recorded in which one of the mandibles bore an extra process of considerable size. Whether ;in\ of these are examples of duplicity, or whether the jaw, mor- phologically single, has in them varied towards a state of greater complexity, cannot well be said. The cases are L. cervus J, M <)(•(,» r K i ;vs, /. c., p. 10(5 [figure fairly true]; L. cervus e ing ultimately determined by the relation of the bud or rudiment to the limb which bears it. CHAPTER XXIV. DOUBLE MONSTERS. OF the evidence as to double and triple "monstrosity" and of the classification of the various forms no account can be given here. This may be found in any work on general teratology. In this chapter are put together a few notes on points respecting these formations of interest to the naturalist, and having relation to what has gone before. It is now a matter of common knowledge that in animals [and plants] division may occur in such a way that two or more bodies may be formed from what is ostensibly one fertilized ovum (cp. multipolar cells). But by a similar division, imperfectly effected, the resulting bodies instead of being complete twins or triplets may remain united together, frequently having a greater or less extent of body in common. In other words, speaking of simple cases in bilateral animals, the whole body, resulting from the development, may contain more than one bilaterally complete group of those parts which normally constitute the Primary Sym- metry of an " individual." If well developed, the component groups are most often united by homologous parts, so that there is a geometrical relation of images between the groups together, forming the compound struc- ture, the whole being one system of Symmetry. Concerning the relations of the several parts of such a system to each other numerous questions of interest arise, but with these it is not now- proposed to deal. To those unacquainted with facts of this class it may be of use to point out in the fewest words the direction in which this importance lies. It arises, briefly, from the fact that in the resemblance between a pair of homologous twins, whether wholly or partially divided, there is once again an illustration of the phenomenon of Sym- metry, and of the simultaneous Variation of structures related to each other as sym- metrical counterparts. The frequency of close resemblance between twins is a matter of common know- ledge. If it be true that such twins may result from the development of one ovum — a fact that cannot be doubted in face of the complete series of stages intermediate between total and partial duplicity — the resemblance between these twins is then of the same nature as that subsisting between the two halves of any other bilaterally symmetrical system. A wide field of inquiry is thus opened up. For, as suggested in the Introduction (p. 36) if the very close resemblance of twins to each other is a phenomenon dependent on Symmetry of Division, the less close resemblance between members of families may be a phenomenon similar in kind. 560 MERISTIC VARIATION. [PART I. It will In- remembered that the resemblance between twins is a true case of similar and simultaneous Variation of counterparts. This is clearly proved by the fact that when distinct Mrristie Variations are exhibited by one twin they are not rarely pr.--.-ni in the other alsi). Cases of this simultaneous Variation are familiar to all who have studied this subject. A useful list of examples in completely separate twins is given by WiMii.i;1. One of the best known cases in twins incompletely separated, is that of the Siamese Twins'-', who had each only eleven pairs of ribs (instead of twelve). Inference must lastly be made to a particular corollary which may naturally be deduced from the fact that the bodies of incompletely separated twins are grouped as a single system of Symmetry. If the whole common body were bilaterally sym- metrical, one twin must lie the optical image of the other. But if the organs of one twin be normally disposed, the organs of the' other must be trtx]i:; examined the evidence as to thoracopagous double monsters (including xiphopagi, Ac. |, and found that in ahm»t every case one of the bodies shew( d some transposition of viscera, though to a varying extent4. There are nevertheless a few cases even of thoracopagi where neither body ex- hibits any transposition5. Moreover, contrary to natural expectation, it does not appear that in ordinary cases of completely separate twins either twin has its viscera transposed; and conversely, of 152 cases of transposition collected by Kiicheiimeister only one could be shewn to have been a twin". It seems therefore that the frequency of transposition in double monstrosity depends in some way upon the iiKiiiiii-niince of the connexion between the twins; and that if the separation be completed early, as it must be supposed to be in cases of homologous twins born separate, then both bodies as a rule develop upon the normal plan, like the bodies of multiple births of other animals. But as the evidence now stands there is no tea son to suppose that individuals with transposition of viscera, born as single births, have ever had a counterpart any more than individuals whose viscera are normally placed, tempting as it is to imagine that both may have had some counterpart which in the ordinary course does not develop. For the present we need not go beyond the fact that between complete duplicity resulting in " homologous twins," and the least forms of axial duplicity, consisting in a doubling of either extremity of the longitudinal axis almost all possible degrees have been seen7. By persons unfamiliar with abnormalities it 1 WIXHLK, B. C., Jour. Aunt. I'ln/*., xxvi. p. 2'.r>. 2 For full abstracts of all evidence relating to this case, see KUCHEXMEISTER, Die . I't-rlutirniiiii il. i.imii if, i«*////ix, Xo. 868, and Allolobophora, No. 873). POLYfll.l.TA. *S68. Typosyllis variegata : individual having two small heads, as shewn in Fig. 208. Heads of unequal size, that on the left having 4 segments behind the eyes, while that on the right had two. The 869. 870. 871. S7:.'. I'm. 20><. 'l'yi> v. Proceraca tardigrada (Syllida •) : tail double; two specimens. In one of these the tails were nearly equal, but one had no anal cirri. AXIUIKWS, E. A., l'ri«-. I'. 8. Xut. Mua., is'.H; x*iv. p. -is:;, and Amer. X«t., isii-J. xxvi. p. 7'2'.i, PI. xxi. Branchiomma sp. (Sabellidse) : two pnstcrior ends, out1 In'iwj rudimentary. IlKiM/u T:, Trav. Xtnt. Zool. de (.',•!{,•. isss, p. S [inioted from AXDKEWS, /. c.] [With these conditions compare Si/llia r., xn. p. I'.l*. I'l. xxxi.] CHAP, xxiv.] AXIAL DUPLICITY : INVERTEBRATES. 565 OLIGOCH^ETA. *S73. Allolobophora longa : specimen represented as bearing a second head on the right side of the first segment behind the peristomium. The second head is represented with prostornium, peristomium and one more segment which rests on the peristomium of the normal body. FRIEND, H., Science-Gossip, 1892, July, p. 16 1,./?V/- 874. Ctenodrilus monostylos : double tail ; in many hundreds examined, three cases seen, ZEPPELIN, Z.f. w. Z., 1883, xxxix. p. G21, PI. 36, figs. 18 and 19. 875. Lumbriculus variegatus : similar cases. VON BULOW, Arch. f. ' Naturg., 1883, XLIX. p. 94. 876. Acanthodrilus sp. : case of two tails arising from a much thicker anterior portion. Such worms were believed or alleged to be common in a particular district in New Zealand. KIRK, T. W., Trans. N. Zeal. Inst., xix. p. 64, PI. 877. EARTHWORMS generally, belonging to genera Lumbricus, or Allolobophora : cases of double tail recorded, as follows : ROBERTSON, C., Q. J. M. 8., 1867, p. 157, Jig.; HORST, Notes Leyd. Mus., vn. p. 42; THOMPSON, W., Zuul., xi. p. 4001 ; BELL, F. JEFFREY (2 cases), Ann. & Mag. N. H., 1885 (2), p. 475, fig.; FRIEND, H., Sci.-Gossip, 1892, p. 108, fiys.; MARSH, C. D., Amer. Nat., xxiv. 1890, p. 373 : FITCH, A., Eighth Rep. upon Insects of State of N. Y., Append., 1865, p. 204 [from ANDREWS, I.e.]; Terat. Cat. Mus. Coll. Surg., 1872, No. 20. BREESE, West Kent N. H. S., 1871; BECOME, Trans. N. H. S. Glasgow, 1888, p. 203 ; FOSTER, Hull. Sci. Club, 1891 ; [the last three quoted from FRIEND, Nature, 1893 (1), p. 397]; COLLIN, A., Naturw. Wochens., 1891, No. 12, figs. I have also a specimen with two nearly symmetrical tails kindly sent by Mr W. B. BENHAM. ARTHROPODA. Three cases. *878. Chironomus (Gnat): larva with two heads, duplicity beginning from the 5th segment behind the head [important details given, q. v.]. WEYENBERGH, H., Stet. ent, Ztg., 1873, xxxiv. p. 452, Jig. 879. Euscorpius germanicus (Scorpion): tail double from 4th p raj- abdominal segment [figure represents each abdomen with one segment too feii), presumably an error]. PAVESI, P., Rend. li. 1st. Lomb., S. n., xiv*. 1881, p. 3'29, fg. 880. [Scorpio africanus :] specimen with two tails. SEBA, Rer/nn Naturalium Thesaurus, 1734, i. p. 112, PI. LXX. Jig. 3. This example was kindly sent me by Mr R. I. Pocock, who tells me that the figure shews the animal to be of the species named. CESTODA. Conditions, perhaps akin to duplicity, have been seen to occur under three forms. 881. Taenia coenurus : specimen whose head had 6 suckers instead of 4, and 32 hooks instead of 28. Proglottides were 3-sided prisms, in section triangular. Longitudinal vessels 6 instead of 4, two being in each angle. Absolute size of head greater than normal. This abnormal 5G6 MERISTIC VARIATION. [l-AKT I. S,SL>. ss.'J. form is known to occur in many kinds of Tapeworms, and especially in < 'ysticerci. LEUCKART, Pur,•/,,,,, pp. 501 — 2, cp. p. -~>77. [Case withyfre suckers mentioned, ibid., p. 578.] In another form of abnormality the chain of segments has three longitudinal tlangt-s, formed, as it were, by the union of two chains of proglottides having one edge in common. Head not found, but several cases known. Genital openings in one case all upon the common edge. LKTCKAKT, ibid., p. 574. Cp. COBBOLD, TrV., xvn. p. 4:>^: LEVACHER, Comptes rendus, is-U, xin. p. flUl. Bifurcated chains of proglottides have also been seen, e.g. specimen of Taenia (cysticerci) tenuicollis. which bifurcated several times in terminal portion, though normal in front of this. MOMEZ, Jinll. >W. >/// x. p. 201. See also Taenia saginata ? LEUCKART,/. c., p. 573. BRACHIOPODA. Acanthothyris spinosa (Rhynchonellidse): case of duplicity L ll FIG. 209. Acdiitliotln/rix xpiiiaxu, No. 888. Case of duplicity. (From P. I. Seen from ventral valve. II. Looking between the valves. as shewn in Fig. 209. FISCHER, P., Jour, de Conclnjl. S. 3. xix. p. 343, PI. xn i. ^s 4— 7. HOLOTHURIOIDEA. 884. Cucumaria acicula : specimen made up of two individuals cohering laterally at posterior ends. SCHMELTZ, Verlt. d. I'er. f. natitrw. Unterhaltung, Hamb., 1877, iv. p. xv. 885. Cucumaria planci : case of second mouth and ring of tenta- cles borne on a lateral bud-like projection. LUDW1G, H.. Z. f. u\ Z., LIII. Supp. p. 21, PL v. 880. CCELENTKRATA. Forms which are commonly simple, such as Actinia or Snijartin. are rarely found with two discs seemingly due to incomplete division, which in these forms may take place longitudinally ['?] as well as by ordinary budding. GOSSE, P. H., Sea-Anemones, p. NXI., etc. See also GUYOX. Zo:iixt. p. 70~2>'<. ji:i. Similar occurrences, not distinguishable from budding, have been seen in Medusae, e.fi., Phialidhim rarinli/li', J>AVIDOFF, Zool. An:., iv. p. 6'20,fi;i.; Ga.-tr"- hlnxtn nijl'mii, LANG, A., Jen. Ztxrltr., xix. p. 735. An interesting case of this kind * \vas seen in Cordylophora lacustris. Several poljstomatous specimens were found mi ii purticiilnr HIUXX df ('<>r(l;il<>}>li -r//o// that we associate with normality, is a fact that di-poses, once and for all, of the attempt to int. -rpr- •! all per- fection and detiniteiiess of form as the work of Selection. The -tudy of Variation leads us into the presence of whole classes of phenomena that are plainly incapable of ,-uch interpretation. The existence of Discontinuity in Variation is therefore a final proof that the accepted hypot he-is is inadeijuate. If the evidence wen! no further than this the result would be of use, though it- use would be rather to destroy than to build up. But besides this negative result there is a positive result too, and the same Discon- tinuity which in the old structure had no place, may be made the framework round which a new structure may be built. For if distinct and "perfect" varieties may come into existence discontinuously, may not the Discontinuity of Species have had a similar origin ? If we accept the postulate of Common Descent this expectation is hard to resist. In accepting that postulate it was admitted that the detiniteness and Discontinuity of Species depends upon the greater permanence or stability of certain terms in the series of Descent. The evidence of Variation suggests that this greater stability depends primarily not on a relation between organism and environment, not, that is to say, on Adaptation, but on the Discontinuity of Variation. It suggests in brief tin it the Discontinuity of Species result* //•<>/// the Dim:i>nti/n/itt/ <>f \rf indi-pi-nd'-nt division and of separate Variation. Single digits for instance may thus be independently hypertrophied as a whole, single segments or single appendages or pairs of appendages may be differ- entiated in some special way, and ^> forth. At this point reference may again be made to that extraordinary Discontinuity of Variation appearing in what I have called Ho- mceosis, so strikingly seen in the few Arthropod cases given (p. 14, M'.i4 and 417, where the .subject is discussed in relation to Linear Sen.-- of several kinds, and to the facts given in Chapter XVI and at p. 433 bearing on the same questions in their application to Radial Series. The outcome of these considerations shews, as I think, that the attribution of strict individuality to each member of a series of repeated parts leads to absurdity, and that in Variation such individuality may be set aside even in a series of differentiated members. It appears that the number of the series may be in- creased in several ways not absolutely distinct, that a single member of the series may be represented by two members, that a terminal member may be added to the series, and also that the number of the members may change, no member precisely corre- sponding in the new total to any one member of the old series : in short, that with numerical change resulting from Meristic Variation there may be a redistribution of differentiation. But though this is, in my judgment, a fact of great consequence, its relation to the Study of Variation is merely incidental. It is not so much that to enlarge the conception of Homology so as to include the phenomena of Meristic Variation is a direct help, as that to maintain the old view is a hindrance and keeps up an obstacle in the way of any attempt to apprehend the real nature of the phenomena of Division, and hence of Meristic Variation. So long as it is supposed that each member of a series of repeated parts is literally individual, it is impossible to form any conception of Division that shall include the facts of Meristic Variation, for in Variation it is found that the members are divisible. It is an unfortunate thing that the study of Homology lias been raised from its proper place. The study of Homologies was at first undertaken as a means of analyzing the structural evidences of relationship, and hence of Evolution. This is its proper work and CHAP, xxv.] CONCLUDING REFLEXIONS. 571 use ; but the pursuit of this search as an aim in itself has led to confusion, and has tended to conceal the fact that there are pheno- mena to which the strict conception of individual Homology is not applicable. This exaggerated estimate of the fixity of the relationship of Homology has delayed recognition of the Discontinuity of Meristic Variation, and has fostered the view that numerical Variation must be a gradual process. This view the evidence shews to be wrong, as it was also im- probable. Brief allusion may be made to three separate points of minor un- importance. It is perhaps true that, on the whole, series containing large num- bers of undifferentiated parts more often shew Meristic Variation than series made up of a few parts much differentiated, but throughout the evidence a good many of the latter class are nevertheless to be seen. Reference may be made to a point that might with advantage be examined at length. The fact that Meristic Variation may take place .suddenly leads to a deduction of some importance bearing on the expect- ation that the history of development is a representation of the course of Descent. In so far as Descent may occur cliscontinuously it will, I think, hardly be expected that an indication of the previous term will appear in the ontogeny. For example, if the four-rayed Tetracrinus may suddenly vary to both a five-rayed and also to a three-rayed form (see p. 437) it is scarcely likely that either of these should go through a definitely four-rayed stage ; and if the origin of the four-rayed form itself from the five-rayed form came similarly as a sudden change, it would not be expected that a five-rayed stage would be found in its ontogeny. Similarly, if a flower with five regular segments arise as a sport from a flower with four, it would not, I suppose, be expected that the fifth segment would arise in the bud later than the other four. I suggest these examples from Radial Series, as in them the question is simpler, but similar reasoning may be applied to many cases of Lineal- Series also. It will be noted that the attempt to apply to numerical variations the conception of Variation as an oscillation about one mean is not easy, difliculty arising especially in regard to the choice of a unit for the estimation of divergence. En few cases can facts be collected in quantity sufficient even to sketch the outline of such an investigation; but, to judge from the scanty indications available, it seems that in cases of numerical change variations to numbers greater than the normal number, and to numbers less than it are not generally of equal frequency. Probably no one would expect that they should be so. As was stated in the Introduction, we are concerned here with the manner of origin of variations, not with .the manner of their perpetuation. The latter forms properly a distinct subject. We may note however, in passing, how little do the few known facts bearing on this part of the problem accord with those ready-made 572 MERISTIC VARIATION. [PART I. principles with which we are all t'ainiliar. Upon the special fallacy of the belief that great Variation is much rarer in wild than in domesticated animals we have often had occasion to dwell. As was pointed MIII in the discussion of tin- evidence on Teeth (p. 2GG) this belief arises from the tact that domesticated animals are for the most part variable, and that we have every opportunity of ob- serving and preserving their variations. To compare rightly their varialiility with that of wild animals choice should be made of animals that are aNo variable though wild. Taken in this way the comparison is fair, and as 1 have already >aid. if we examine the variation in the vertebra:' of the Sloths, in the teeth of the Anthro- poid Apes, in the colour of the Dog-whelks (Purpura lapillus), *v«-., we find a fiv . (iieney and a range of Variation matched only by the most variable of domesticated animals. It is needless to call attention to the fact that in hardly any cases even of extreme variat ions in wild creatures is there evidence that the animal wa^ unhealt hy, »r ill nourished, or that its economy was in any visible way upset ; but in almost every example, save for the variation, the body had the appearance of normal health. A tier all that has been said few perhaps will still ask us to believe that the fixity of a character is a measure of it> importance to the organism. To try to apply such a doctrine in the open air of Nature leads to absurdity. Let one more case be enough. I go into the fields of the North of Kent in early August and I sweep the Ladybirds off the thistles and nettles of waste places. Hun- dreds, sometimes thousands, may be taken in a few hours. They are mo>tly of two species, the small Cocdnella decempunctata or i'iiri(ilii/in and the larger C. septempunctata . Both are exceedingly common, feeding on Aphides on the same plants in the same places at the same time. The former (C. decempunctata) shews an ex- cessive variation both in colours and in pattern of colours, red- brown, yellow-brown, orange, red, yellowish-white and black, in countless shade>, mottled or dotted upon each other in various ways. The colours of pigeons or of cattle are scarcely more variable. Yet the colour of the larger C. septein/xaictatu is almost absolutdy conMant. having the >ame black spots on the same red ground. The slightest difference in the size of the black spots is all the variation to be seen. (It has not even that dark form in which the blac"k spreads over the elytra until only two red spots remain, which is to be seen in C. l>ij>iuirttlii/ri.<. double monster, 50ii Acce-sory hoofs of Ox, connected with supernumerary dibits. 'Js'i Ai-li,-ru Aili'ii i-nti Hitliitu, eVtia left's, 512 A l;i* pniiftntn. double (?) antenna, 551 Al'iiix xnrdiilii*, extra legs, 508 Aleochara i/i,i.l'<>i>lt ; duplicity of head and tail, ."it;.")-. ii.<.i,"n-n.-iin, spermathecas, Hi.") Alliirnn, generative organs of. Kit. Iti". ; ria. 1G5 ; heri'i/niii*, tctr/ii ilrn.<, KJ4 •, vertebrae, 127; axial dnplicitv. 561 Aiiil>liii»ii'iixti'ii, 4 -rayed, 443; 6-rayed, llii; partial reduction of a ray, 443; partial duplicity of a ray. 4 Hi Aiiintiifii'tca, alleged case of eight pairs of gill-openings, 174 Ampi'iln* i'j>/iii>/'itiin. double (?) antenna, 551 Amiiliifi/fliiK (Holothurian), tentacles not in multiples of five. 435 Aiiijiliiiiuilln.i milntitiiili*, extra autenn.-i . .") 1 .") . I nijiliia.riix, number of gill-slits, 174 rri'iixi*, colour-variation, 44 '/iifrqiii'tliilii. division of digits. li'.i-J A ii '-li< mi i mi* ti'.i'jm n<-t•_':»: double (?) antenna, «//(//() Angora breeds. 55 Ani.«i/ili7 : variation in generative organs, l.V.i: axial duplicity, "'ii3 Anomala junii, extra autenn-e. ."]."> A >i. or. spinal nerves, 130, 133 Antcdoii, variation in number of radial joints, 421; 4-rayed specimen, 43(1: 6-ruyed sjiecimen. 137; abnormal 1'iaiicliin;/. 438 Antenna de\ eloped as foot. 140, 147 Antenna^, variation in number of joints. Prionidse, 411 ; Pnli/iirthnix, 412; Lytij'lili-lni*. 412; Domifin, 413; Forjlcnln, 413 extra, in Secondary Symmetry. 513-522 : symmetry un- known. 522; arising from head, 551 supposed double, 548 Anthia, extra legs, 502 Anthocharis cardamines, colour-varia- tion. 4"> eu]ilii-ii<>. 4."> ; imii', 72 Anthropoid Apes, Variation in Verte- bra , 110; teeth. 199; digits, 349 Aphuiliitu, extra legs, 494 Api* iiii'll(ii<-ii. union of compound eyes, 461 Appendages, joints of, 410 supernumerary, arrange- ment of evidence, 474 in Secondary Symmetry. 475; mechanical model illustrating relations, 480; duplicity of, 400, 539 'nj.r, brachial plexus, 130 na, extra tlabellum, 530 t/siii-tn*. extra digits. 393 I':-tli.">! Artt'inin, tulinii and inilfiititxi'iiii. 96; iii'ni'ilix, 100; relation to Jlniiii-lii/'iix. 90 ; segmentation of abdomen, 100 Arteries, renal, 277; in a case of double- hand. 333 Ai-tliroiitniKiltix. number of segments, 94 Arthropoda, variation in number of segments, 87; Homo-osis in append- ages, llti; axial duplicity, 565 Articular processes, change from dorsal to lumbar type, 109; variations in position of change, 110, 112, 114, 117, 122 INDEX OF SUBJECTS. 577 Artioclactyla, polydactylism, 373; syn- dactylism, 383 ; teeth, 245, 246 Ascidin plebcia, specimens having every fourth vessel of branchial sac dilated, 172 Aseidians, variation in branchial struct- ures, 171, 172 ; extra atriopore, 456 Ass, canines, 245; molars, 246; absence of digital variation in, 360 Astaeusftuviatilis, colour- variation, 44 variation in number of oviducal open- ings, 84, 152 absence of male open- ing, 154 absence of oviducal opening, 152, 153 absence of opening from green gland, 154 extra chela?, 529, 537 extra processes from chela?, 536 repetition of exopod- ite of antenna, 538 .4. leptodactylus, extra dactylopodites, 532 A. piliiiKiinis and braziliensis, apparent presence of female opening in males, 155 AaterUm, variation of pedicellarite, 429; arms, 439 with 8 rays and 3 madreporites, 440 ; extra water-pore, 466 polaris, normally 6-rayed, 433 probleiii/i, tenuixpina, undergo fission, 433 Asterina, 4-rayed and 6-rayed specimens, 440 Asteroidea, arms, 439-441 Ateles, teeth, 205, 206, 207 Atriopore, extra, in Aseidians, 456 Atteltibus, division of prouotum, 455 Aulantonut (julo, asymmetrical variation in generative organs, 167 Aurelia aiirit/i, Meristic Variation of, 426 ; statistics as to, 428 Auricles, cervical, in Man, 177; in Pig, 179; in Sheep and Goats, 180; are repetitions of ears, 180 Baer, von, Law of, 8; its proper scope, 9 ; probably not applicable to cases of Discontinuous Meristic Variation, 571 Balance between mamma, 189 ; between teeth, 213 Jiiilnnocrinus, 4-rayed specimens, 436 Balanofllossus, two methods of develop- ment, 9 ; number of gill-slits, 174 ; extra proboscis-pore, 466 ; supposed relation to Chordata, 86 Batrachia, extra limbs, 554; spinal nerves, 141; vertebrae, 124; extra B. atrial opening, 465; axial duplicitv, 561 Bdellostoma, individual and specific variations in number of gill sacs, 173, 174 cirrhatum, heptatrema, hetcrotrema, hexatrema , 173; bischoffi,polytr>ema, 174 Beech, fern-leaved, 25 Bees, hermaphrodite, 68 ; union of eyes, 461 ; antenna modified as foot, 147 Beetles, variation of horns, 38 ; an- tennas, 411, 413; extra ap- pendages in Secondary Sym- metry, 475 ; legs, 483 ; an- tennae, 513; palpi, 524; di- vision of pronotum, 455 supposed double legs, 544 ; sup- posed double antennas, 548 ; supposed double palpi, 551 Beinbidiitm striatum, extra palpi, 524 Bettonrjiu, variation in molars, 258; cuniculus, lesueri, penicillata, 258 Bilateral asymmetry, Homceosis in cases of, 465 Bilateral Series, nature of, 88; Meristic Variation of, 448 Bilateral Symmetry, 19 ; in variation of vertebrae, 128; in variation of Annelids, 167 ; in varia- tion of niamnia?, 183; in variation of teeth, 267 ; in cervical fistulas, 175; in variation of ocelli, 292 ; in variation of digits, 402; in variation in antenna? of For- jicula, 414 ; in variation of Radial Series, 427 ; in ab- normal branching of Ante- don, 438; in distribution of triasters in segmenting egg, 464 ; in abnormal union of blastomeres, 464 as found in manus and pes, 369, 403 influence on Secondary Sym- metries doubtful, 557 Bipinnaria, extra water-pore, 466 Birds, spinal nerves, 129 ; digital Varia- tion, 390, 396 Blaniulus, mode of increase in number of segments, 93 Blaps, extra legs, 512; extra antenna?, attenuata, 522; double antenna, chev- rolati, cylindrica, similis, 551 Blatta, variation in number of tarsal joints, discussion of, 63 ; facts, 415 ; regeneration of tarsus with 4 joints, 416 Blue, as variation of red, 44 Boar, Wild, extra digits, 383 Bombinator, vertebra?, 127 37 578 INDEX OF SUBJECTS. Bombits varinlrilis, antenna developed as foot, 147 I{iiiiil>if.r, extra wing, queron*, 2*4, /•///5 .i:i-, \;iriations in number, 172 , double tail, 51'. I iipux, segmentation of abdomen, '.I": relation to Art. 'in in, '.Hi - 101 ; species di>- tinguished by sexual characters of male, 100 ferox, sphioxnx, {17, 100; xtd/in ili.-i. 100 Brill, pigmentation of blind side, 468, 17<> Mriuistone butterfly, variation in colour, \~>; nature of pigment, 48 Broscus vulgaris, double (?) leg, 547 liiii-riiiiim, teeth, 21)2 ; double operculum, 457 I'.Hi-orriix, brachial plexus, 131, 132 Bulldog, teeth, 210, 221 Bulldog-headed races of Dogs, 57: of Fishes, 57 Unti'o IiitixximHit, extra digit, 393; rul- duris brachial plexus, 131 Buzzard, extra digit. 392, 393 ftiacus, extra eye, 280; extra legs, rixti'ldiili'x, 506, fulripex, 507, (//•"•-•MX, 505 Callidiuiu ruridltilf, double (?) antenna, 5."il ; rialiiffitm, extra antenna aiisiug from head, ^>'ii Calliniorphti, colour-variation of species of this genus, 46 f 'iillim i-ti'x liiiatiitiia, extra spines on lateral horn of carapace, 557 litlirix, teeth, 208 rliiiiitx itr* in us, teeth, 343 iti-iiiis X///V/H.S1, colour-variation, 41 >'iil'i/iti'nin ri'tii-nlitinn, extra antenna?, 522 ' 'al 'i>us cinti'luiili'.i, extra legs, 512 I'litiisaiim iiii-fntifidtiir, extra antenna?, 523; tiitriijniiirtdtiim, double (?) leg, 548; double (?) antenna, sycojthanta, frixti-, 550 Cancer pui/urns, maxillipede developed as chela, 149, 150 ; extra parts of limbs, 527; variations in chela;, 530 — 536 CANIH.K, digits, 401; mammne, 189 teeth, 209—222; incisors, 210; canines, 210; premolars, 211; molars, 217 CANID.-E, teeth, Can/x nntarctifiix, 215: n:nrtt. 217; canerivoms,31S; wrsac, 214; ilini/n, 212, 215 ; jnriiu- /cns,209: liii/npu*. 220; Int. r- alls, 212; Input, 212,213,217, 220; inuiii'U'iiiii-iix, 218; nie- 214, 219; 7- iiii.es, 210, 212, 213, 214, 219, 220 ; zenli, 220 vertebrji-. I-JL'; cervical rib, 122 Canines, supernumerary, Tiger, 225 ; Ass, 245; divided in Dog, 211 Cnjirt'oliix, horns, 286; union of horns, 460; polydactylism, 371, 379 Caprimulgun, brachial plexus, 131 CARABUS, antenna, sujijiosed cases of double, tiui-.ltil*, rii ni-i-llntilx. catenulatU8,emargiiiatus, ex- aratim, iiitriru xi/lri'.-'trix. 550 antennas, paired extra, xix, 523: aiironitens, 522; moiiilix, 522; xucliL-ri, 523 leg, supposed cases of double, i-r<-tit :<•>•!, 547; lielluo, 517: iiitrictitux, 545; melancholi- CU8t "»H; ni'inoralis, 547; septemcarinatus, 547 legs, extra in Secondary- Sym- metry, iiiiriitnx. 511; tiuro- iiiti'iix, 511 ; ciuii-i'lldtiis, 511; rdti'iinldtiix, 512; grt/'fn.*. 486; granulatiis,4:8&; irraju- i*, 4(.I7; ittilicus, 512; lift, 4S4; j; scheidleri, 4-3 aljii, supposed cases of double, tinnitus, deim, 552 proaotum, division of, in, extra legs, 512; double (?) leg, hologericux, 546, diffi- uis, 548, rest it its, 548 Chcerocampa, colours of larva?, 304 Chnluyiis, vertebrae, 118, 120; brachial plexus, 141 < 'Imlurnia, hallux absent, 397 Chordata, segmentation of, 86 Chroicocephalux, brachial plexus, 130 Cliri/tscmijn, axial duplicity, 563 Chrysomela, division of pronotum,/«ca ta, 455 Chrysomela, extra legs, baiiksii, 494 ; r/raminis, 498 double (?) leg, Jucmoptera, 547 double (?) antenna, cacali>> , .-,.-,11 Chub, bulldog-headed, 58 Cicindela sylvatica, double (?) antenna, 550 Cidarites, 4-rayed specimen, 441 Cimbex axillaris, antenna developed as foot, 146 Cimoliasaunii, imperfect division of ver- tebrae, 103 dona intestinalis, variation in number of stigmata, 172 Cistudu, digital variation in, 396 Cladocera of salt lakes, 101 Clausilia bidens, extra eye, 280 Clavatelht, variation in number of seg- ments, 425 ; in number of eyes in each segment, 425 Chtpca pilchardus, scales, 274 Clythra quadripunctata, extra legs, 508 Clytus liclatus, extra legs, 508; extra antenna?, arcuatiis, 522, tricolor, 522; double (?) antenna, arcuatiis, 551 Goccinella decempunetata, bipunctata and xeptempunctata, colour-variation, 4'.l, 572 Cochin fowls, "silky" variety, 55 Cockroach, variation in number of tarsal joints, 63, 415 Coeleiiterata, imperfect division, 566 Colias, colour- variation, 44 ; interme- diates between edusa and helice, 44 ; varieties of Injale, 45 Colobus, teeth, 204 Colour and Colour-patterns, variations in, 42, 288, 572 Colour-variation, discontinuity of, per- haps chemical, 72 ; simultaneous, in segments, &c., 303 Coluber, double monster, 561 Coluniba, brachial plexus, 131, 134 Colymbetessturmii, extra legs, 512; .-*nrchu8, teeth, 227—231 ; zebra, 230, 231 Crustacea, theory of descent of Vertt - brata from, 29; of salt lake-, lull: Secondary Symmetry in, 525; Hoince- osis in, 149 < 'n/jitiili muni* ripm-iii*, extra legs, 509 Cryptophagus .-•(•uiiicu*, di'iitutux, double (?) antenna, 5."iii Ctenodrilit.*, double tail, "ii',.", Cucitmaria phuu-i. with six radii, 433; double mon.-ter, ~>(\('\ acicnli, double monster, 566 ('nun, one lower molar absent, 209 L'li/n'i x.vc/<-/-/;«'x, imperfect variation to 4-rayed state, 437; variation in num- ber of canals in stalk, 438 Curve of Frequency of Variations, 37, 64 Cuvierian organs, variation in number of, 135 Cyclopia, 458 Ci/;i nun ofor, cervical vertebrae, 33 ; colour- variation of young, 41; atrutnx, brachial plexus. 130 f '////« Icdii, variability of ocelli, 289 Cyneelurus, teeth, 222, 224 jilili<>rachshund, hallux in, 401 ; duplicity of hallux and pollex, 401 Dactylopodites, extra, "r_'s linrti/liijiailii, jn-emolars, 255 Darwin's solution of problem of Species, 5; views oh Itevrrsion, 77; on sudden Variation in eye-spots, 289 Dasyuridoi, incisors, 247 I>ors, 247 ; premolars, 255 ; molars, 25(i *, i-ii-rrrinnx, variation in molars, 256 lntH*, molars, 25H J>i ili'jiliiln I'uplmrliitr, colours of larva-, 305; hiji/n'iiliiii'ii, 305 Illinium* lujhriiln*, extra antenna?, 523 Descent, Doctrine of, assumed to be true, 4 Diaptomus, colour-variation of et-'^rs, 44 I>i,-ii ii/!i-.-< ti>rijiititu.-i, incisors, 245 Diddphyidje, incisors, 240 Didelphys, teeth, 246, 258 Digits, Variation of MAMMALS. (.': Maciictt*, 340; Man, 324 ; Mule, 360, 370; Ox, 374, 383; Pig, 3sl, 387; Sheep, 373, 380 BIRI>S. Anas, 392; Aqnils in chemical processes, 1 6, 48, 72 in colour-variation, 43, 48, 72 ; in colour-patterns, 48 in states of matter, 16 of Meristic Variation per- haps mechanical, 70 of Substantive Variation perhaps in part chemi- cal, 71 in the Variation of spinal nerves, 145 in the Variation of the generative organs of Annelids, 168 INDEX OF SUBJECTS. 581 Discontinuity iu the Variation of digits, 407 in Meristic Variation of Radial Series, 423 partly dependent upon Symmetry, 568 Discontinuous Variation, use of the term, 15 Disease, analogy with Variation, 74 Ditonnm tricwpidatus, double (?) an- tenna, 550 Division of organs, a process of repro- duction, 193 of teeth, 268; of mamma?, 193; of digits, 349, 369; of ten- tacles, 280 ; of radius of Echinid, 446; median, 454 Dog, cervical rib, 122 ; hairless, 57 ; bull- dog, 210, 221; digits, 401; nipples, 189 teeth, 209—222 ; incisors, 210 ; canines, 211 ; premolars, 213, 215; molars, 220; deficiencies in Esquimaux, 215; in Inca, 216 Dog-whelk, colour-variation, 48 Domestication, variability falsely ascrib- ed to, 266, 401 Donacia bidnns, Variation in antennae, 413 Dorcadion rutipes, extra legs, 512 Dorking Fowl, digital variations, 390 — 395 Dorocidaris papillata, variation in pedi- cellariae, 429 Double-foot, Artiodactyles, 378 ; Frog, 540; Macacus, 340; Man, 337, 338 Double-hand, 325, 331 Double Monsters, 559 Double-thumb, 349 Dromceolus barnabita, extra antenna?, 523 Duck, no variation in number of digits recorded, 401 ; cases of absence of webs between toes, 401 Duplicity of single members of series not distinct from other modes of addition, 193, 407 of appendages, 406 ; in Arthro- poda, 539; in Vertebrata, 539 axial, 559 Dutch pug, 57 Dyschirius f/lobulostis, extra legs, 512 Dytitscus majginalis, extra legs, 512 Eagle, extra digits, 393 Ears, repetitious of, known as cervical auricles, 180 Earthworms, variation of generative organs, 159 ; of segmentation, 157 ; asymmetrical arrangement of genera- tive organs, 160, 161 ; table of arrange- ment of ovaries, 162; duplicity of head, 565, of tail, 565 Earwig, variation of forceps, 40 ; of antennary joints, 413 Echinuconus, 4-rayed specimen, 441 ; alleged case of 3 rays, 441 Echinodermata, Meristic Variation in, 432; variations of pedicellariae, 429; duplicity, Echinoidea, Meristic Variation of, 441 ; 4-rayed specimens, 441; partial dis- appearance of a ray, 443 ; partial duplicity of a ray, 446; 6-rayed speci- men, 445; pedicellariae, 429; variation in number of genital pores, 446 ; sym- metrical reduction of two rays, 443 Echinus nielu, partial reduction of an ambulacrum, 443 Echinus sphcera, partial reduction of an iuterambulacrum, 445 Ectrodactylism, Man, 355, 358 Elate r murinus, extra antennas, 522 ; rariubilis, extra leg, 547 ; hirtus, double (?) antenna, 551 Eledune, supernumerary hectocotylus, 473 Eleodes pilosa, double (?) antenna, 551 ElepJtas, tusks, 244; hoofs, 397 Elytra, said to have been replaced by legs in Prionus, 148 Embryology, as a method of investigating problems of Descent, 7 Emperor moth, ocelli absent, 289, 301; colour- variations of larva, 306 Emu fowls, 55 Enchytraeidse, generative openings, 165 Encrinus, variation in number of radial joints, 421 ; 4-rayed calyces, 436 ; radius bearing only one arm, 438 Enema pan, extra legs, 512 Entoniscians, alter segmentation of some crabs but not of all, 95 Enhydris, incisors, 211 Epiglottis, division of, 451 Epipodites, variation of in Hippohjte, 151 Epistome (of Beetle), division of, 454 Erebia blandina, ocelli, 289 Erinaceus, variation in hallux, 397 Eriphia apinij'rons, extra chela?, 528 Eros minutux, extra legs, 487 Eso.r hichts, bulldog-headed, 58 Esquimaux Dog, absence of first pre- molars, 214, 215, 221 Euchloe, pigments of, 72 Eugeniacrinu.1, 4-rayed specimens, 436 Euprepia purpurea, extra palpi (alleged), 524 Eurycephalitis m; Hip- jiiin-liiii, '2'.n : Siiti/rn.-. 2'.l.~i ; Mni],li.i:, dibits, 313 teeth, 223—226 l-'i-lia linirhyiiriiii, 224; <•«///- i/ntii, 223 ; caracal, 224 ; catus, 224; chaus, 224; c/ii- nt'iiai.-i, 221; i-niicolor, 223; dome*!!,;,, 223. 224, 225. 22f, ; eyra, 223; fontnnii'ri, 22",. 226 ; hi<-iin*i>i<-ini, 223 ; J«- iiiiiii'niiili, 224 ; jiiriui<->i*i*. 224; jubata, 224; /eo, 220 ; f//«.r, 22(1; municuhittt, 223; iiniiniJ, 22-1; miinitu. 223; iii'liiiloxn, 224; owed, 224; /ni j,' rii.--, 224; jHirdnlis, 226; 2>ttrdti*, 22)!, 22(1; trt minimi, 223 ; tiiiriiui, 226; fiV/w, 224, 225 vertebra?, 122 l-'ri-oiiiii in/'/l/lj'i'lilii, extra legs, 4*.~i Fins, division of, in Gold-rish, 451 Fishes, undifferentiated teeth in certain. 32; bulldog-headed, 57 division of caudal fins, 451 ; scales, 274 ; llat-rishes. -166 FistultE, cervical, 174 ; morphology of. 176; aural, 177 in Man, 175; in Tig, 179; in Horse, 180; unknown in Sheep, Goats and Oxen, 180 Flat-lishes, reversed varieties, 54, 466; "double" varieties, 4U6 l-'n nin.t ttirxtitariiix, extra legs, 491 Foot, double, Artiodactvla, 378 ; Frog, 540; J/mv/ru.s 340; Man. 337, 338 Foraininifera, duplicity, 5i'ii; i'< i r in- u In tntrii'iiliiriii . variation of for- ceps, 40; of antennary joints, 413 Fowls, silky variety of, 55 digital variation in, 390; ovary and oviduct, H',.". Frog, vertebrae, 124; extra legs, 5," 1 ; double foot, 540 ; Secondary Sym- metry, 554 tuitiifuux, sinistral, 54 nfrifiina, extra legs, 495 a.:!, rit,.< tillim/nli-ru*. 6-rayed specimen, 41.-, 8iiln'"titii,lii.-. -1 -rayed specimen, 441 H'lli'-li*, teeth, hurlmni, rlttntn. 232 vertebra?, 123 Galliiiul'i fliliirujiiix, hairy variety. 5." ; • •xtia dibits, :-f'.i2 Gallu.f, brachial plexus, 130; digit-. 390; oviduct, 465 < faivam-y Teal, division of digits. 392 Garrulii*, brachial plt-xns and ril,s. 13.". <;.2, 154; of Earthworms, 159; of Him. I.,, 166 Generative organs of Earthworms, varia- tions in, 159: of Leeches, 165 Genital pores, variation in number in Echini. 416 Geopliilna. variation in number of seg- ments, 94 Geotnijx * iiint'itor, extra legs, 500; 1i/l>li<,'iis, extra antennas, 515 Gill-slits, of Ascidians, 171; of Mij.rim, 172; of Bdellostoma, 173; of Ammo- castes, 174; of Notidauidfv, 174; of y;,i/i/;/i»//o.vs/ ; digit;-, 377 ; cervical auricles, 180 Gold-fish, simultaneous variation in length of tail and fins, 309: division of anal and caudal fins, 451; "Tele- scope," 4.33 Gonepteryx rtnmini, similarity of fore and hind wings. 25 colour - variation, 45 ; nature of the yellow pig- ment, 48 extra wing, 283 Goose, brachial plexus, 133; pygomelian. 401 Gorilla, vertebra?, 117; spinal ner\e>. 139; teeth, 202 Goitra, brachial plexus, 130 Gni.*, brachial plexus, 130 Guinea-hen, double- hallux, 392 Guinea-pig, inversion of layers in, 9 Gulu, teeth, 231 Ho?mal spines, division of, in Gold- fishes, 453 Hair, absence of, in Mouse. HOIM. Shrew, 56 ; silky in Mouse, 55 ; excessive length in mane and tail of a horse, 309 INDEX OF SUBJECTS. 583 "Hairy" Moorhen, 55 Halichirrus, vertebras, 123; molars, 242, 243 Haliotix, extra row of perforations, 287 ; perforations occluded, 287; perfora- tions confluent, 287 Holla, imperfect segmentation in, 156 Hallux, duplicity in Man, 349; Fowl, 390; variations in Kitthvake (Hiss a), 396; Erinaceus, 397; Herpestida?, 397, normally absent in certain birds, 396 Hammaticherus hero*, double (?) an- tenna, 551 Hand, digital variations in, 324 ; double, 325, 331 progressive series of Conditions, 324 Hapalidffi, teeth, 203 Harpalus, nibripes, extra legs, 493; cul- ceatus, double (?) antenna, 550 Hawthorn, variation of, 569 Hectocotylus, supernumerary, in Ele- done, 473 Hdictis orientalis, teeth, 233, 234 Helix kermovani, extra eye, 280 hisjrida, union of tentacles, 461 Helodenna, vertebrae, 123 Helops cicruleus, extra antennae, 523 sulityenniis, extra palpi, 524 Hemiaster; cases in which one ambula- crum wanting, 445 ; two ambulacra reduced, 443 ; duplicity of ambulacra, 446 Hcpialus humuli, males like females in Shetland, 254 Heptanchus, seven gills, 174 Heredity, objection to use of term, 75; in digital variation, 398 Hermaphroditism, 67 ; in bees, 68 Hermodice carunculata, abnormal seg- mentation, 158 HERPESTIJXE, hallux, 397 teeth, 227-231 Herpettes galera, 229; gracilis, 227, 228, 229; griseim, 229; ichneu- mon, 229, 230, 231 ; microcephaltis, 229; nipalensis, 227; nyitla, 228; persicim, 227; puli-entlt-ntua, 228, 229; sinithii, 228, 229 Herring, supposed hybrid with Pilchard, 275 Heteroceplialus, a naked Eodent, 56 Heterogeneity, universal presence of in living things, 18 symmetrically distributed around centres or axes, 19 Heterorhina nif/ntarsia, division of pro- notuiu, 455 Hexanchus, six gills, 174 Hipparchia tithonus, eye-spots, 293, 294 Hippocampus compared with Phyllu- ptt'nj.r, 309 Hippoglo&sus ftinguis, 471 Hippolyte fabricii, variation in epipo- dites of legs, 151 Hirudinea, variation in generative organs, 16-3 in colours, 304 Hiriido mcdicinalis, variation in number of testes, 165, 166 officinalis, supernumerary penis. 166 Hiister cadaverinus, extra legs, 512 Holopun ninr/i, 4-rayed specimen, 436 Holothurioidea, variation in number of radii, 433 ; variations in numbers of organs, 435 ; double monsters, 566 HomttruH, repetition of parts in cheliped, 530 ; in chela?, 531-538; colour varia- tion, 44; hermaphrodite, 155 "Homodynamy," 133 Hornceosis, use of the term, 85 between vertebrae, 106-127 ; backward and forward, use of terms, 111; forward in vertebrae, 112; backward in vertebrae, 111 ; in spinal nerves, 144 ; of appendages in Arthropoda, 146 ; in seg- ments of Annelids with re- spect to genital organs, 162, 163, 167, etc.; in teeth, 272; in bilateral asymmetry, 465; in parts of flowers, 111 Homology between members of Series of Repetitions, 30 individual, not attributed if series is undifferentiated, 32 ; attempt to trace iu mamma?, 191 ; discussed in the case of teeth, 269; in the case of digits, 351, 391, 371, 377; in the case of joints of tarsus of Blutta, 418 ; in the case of radii of Holothurioidea, 433 Horns, Sheep, 285 ; Goat, 286 ; Roebuck, 286,460; Chamois, 286; of Koe- buck united in middle line, 460 Horse, similarity of fore and hind legs, 25, 26 naked variety, 56 ; teeth, 244. 245 cervical fistulas, 180 simultaneous variation of mane and tail, 309 extra digits, 360 ; by development of digit n, 361—367 by development of digit iv, 367 by development of digits ii and iv, 368 by division of digit in, 369 by intermediate process, 371 584 INDEX OF SUBJECTS. Ilijn*, double chela, 540; double iudex, 541 Ihl'rids, supposed, bet vv eeii Herring and rilchard, 27 t ; supposed, between Tur- liot and Hull, HIS; supposed, in genus I'l-rins. 52, 53 Jfii'lrnliiiis niti-i/H's, pronotum having three lobes, 454 ]I>/lnl,iit<:-i, vertebne, lls : teeth, 204; /. ni-iti-Hx, extra digit, H46 II i/Iotrupe>> h'ljnliit!, extra legs, 494 x, teeth, 258 Iceland, 4-horned sheep, 285 Irlinciintoit liictiituriii.--. extra legs, 511 Ichoenmonidae, extra leu--. till, 511 Ii-tiojun ri-iuitii-'i*, tei-tli, 22u Ictonyx, teeth, •23:; Images, relation of, the basis of Symme- try, l<) between upper and lower jaws, 1%, 207; between right and left sides, 88 ; in the case of the manus and pes, 404 division and union of parts re- lated as, 44'.i principles of, followed in the structure and position of parts in Minor Symmetry, 479 Inca Dogs, a bulldog found amongst, 57 : \aiiatiun of premolars and molars, 216, 222 Incisors, supernumerary, Gorilla, 203; Atelt-a, 2u7- Canidas, 210; Felidje.222; Herpestidte, 227; Pecora, 245; Dicntt/lcx, 245; Horse, 244 division of, Canidae, 210; Ele- j>lid.<, 244 absence of, Canidas, 211 ; Feli- dffi, 222; Herpestidae, 227; Phocidse, 235 : Horse, 244 Index of crabs and lobsters, peculiarity in repetition of, 557 Individuality, attributed to members of M eristic Series, 31: such individuality not respected in Variation, 82 ; cases illustrating the absence of supposed individuality in Members of Meristic Srrk-s, 104,' 115, 124, 191, 269, 407, 433; an unfortunate term, 550 J,if>iiiiiirii triildcti/In, distinguished by absence of hallux, 390 Jackal, vertebra', 122; teeth, 217 Japanese pug, probable independent nrigin of, ."i7 Jaws, relation of upper to lower, 190 Jiilnilis cequinoctialis, extra leg>, 503; cloud, double (?) antenna, 551 C/H/MX trrrextris, mode of increase in number of segments, 93 Kallinui inucliys, colour- variation, 53 Kuryoxinesis, symmetry in, 20; varia- tions in, 430; bilaterally symmetrical variation of, in the segmentation of an e;.'i-r, 4i',4 Kidney, supernumerary, 277 ; horse- shoe, 27s. 1 59 Kittiwake, variations in hallux, 396 Laciuiation, simultaneous, of petals, 310 Lady-birds, colour-variation, J'.i I.'Kjon-lirftt't, teeth. 25s L'i:it>t)iri.r, teeth, 208 Lamarck's -ohition of problem of Species, 4 Lamellibranchs, sinistral, 54 Latnin fi'.rtur, double (?) antenna, 551 Liirtix Ictifiijiti-rii*, digit-, 393 Larvae of Lepidoptera, variations in colours of, 304 Leaf-butterfly, colour-variation, 53 Leeches, variation in generative organs of, 105; in colours, 3<>4 Legs, extra, in Secondary Symmetry, general account. 475, cases in Insects, 483; in Position V, 4S3; in Position VA A, 4s5: in Position A, 4S7 ; in Position DA, 491; in Position D, 494; in Position DP, 496; Position P, 498; Position YP, 500. Uncon- formable cases, 503; miscel- laneous cases, 511; in Crus- tacea, 520 : in vertebrates, 554 supposed double in Insects, 544 Leopard, two cases of dental variation in a Chinese, 225. 220 Lepidoptera, colour-variation of larvae, 304 ; ocellar markings, 288 ; nature of yellow pigments, 73 Leptnni t<'*tin-fti, double (?) leg, 545 Li-iici.icii.< (hibitla, bulldog-headed variety, 58 Lichiuinthe nilpina, extra antennae, 517 Liyula, absence of segmentation in, 10s Limax, union of tentacles, 400 Liiiti'uitix iKijntli, extra wing, 283 Limiting, division of caudal spine, 450, 450 Linttria, many symmetrical variations of, 70 Line kid mitltijlnrn, fission, 433 Linear Series, Meristic Variation in, 03; simultaneity in colour- variations of, 303 I.ix.-iutriton, supposed double limb, 539 LitlmbiitK, number of segments, 93 I, it IK nit:* urcticti. extra legs, 527 l.itturiiin nulia. colour- variation, 49 l.itturiiid, sp., extra eye, 280 Li.riiK ti>i45 hi]>it<»-ii*tiiiti, extra antennae, 510, 557 teeth, 232 M«-iisiri, 20; importance of, to Study of Variation, 23 indirect bearing of, on the magnitude of Variations, 25 M>Tistic Repetition, 20; kinshiji of pait- >'> repeated, 20 : similar Variation of parts in, 27, Mlii. 101; compared with asexual reproduction, 34 Meristie Variation, distinguished from Substantive Vaiiation. 2'-' : compand with 1 Imiici "tic Variation, 84 Metacarpals, development of lateral, in Aitiodactyla in correlation with syn- dactylism of metucarpals III and IV, 383 ' Metameric Segmentation, not distin- guishable from other forms of Repe- tnioii, 2*; enors derived from such distinction, '•'<" Meta-ternal plates, division of, 45(5 Metazoa, comparison with Protozoa, 35 M, trina fii>itr Minnow, bulldog-headed specimen, 58 Minor Symmetry, 21, 88 ; Meristic Varia- tion in, 311, 410 ; in manus and pes, 403 Molars, supernumerary, Simla, 200; Troyloilyten, 202; /unis, 256; Jitt- tiiH'iin, 25s special frequency in Anthro- poid Apes, 200; in Lijcalnjn-.i- group of Foxes, 217 absent, Simla, 200; Ateles, 207; ritli<-i-ihi,, eye-spots, 200—299 achilles, 2'.'7 : iii,'in-l* iii-lir. 2'.i:' : Mouse, colour-variation, 44 ; with silk\ hair, 55 ; black variety, 55 ; naked, 56 M/niil rnjiitn, bulldog-headed. •"•- Mule, rarity of digital variation in. 3HO : case of, 370 Mullet, bulldog-headed variety. •> Multipolar cells, 430 Mustelidae, teeth, 231, 235; premolars in .!/. fninn, Hturtt'.*, melanopus, zibeUiim. 231 Mycetes, teeth, 207, 20s Mycomelic acid, relation to yellow colouring matters, 73 .!///, number of gills, 174 Nuclei, multipolar division, 430, 404 : precocious division, 464 i /•- ate* proeyonoides, teeth, 215 <-ii.--. teeth. 2('S INDEX OF SUBJECTS?. 587 Ocellar markings, 288, 449 Lepidoptera, 288 ; Eaiida1, 302 ; Birds, 449 Odontohibis stevensii, extra antenna3, 518, 557 Oligochseta, axial duplicity, 503 ; ge- nerative organs, 159; segmentation, 156 Ommatophoca rosaii, premolars, 237 Onitia bison, division of pronotum, 455 Operculum, double in Diicciinim, 457 Ophiacantha jiti-rii.<, lirachial plexus, 130 riiu.rinn* lii-rh. bulldog-headed, 58 I'hriittirii rittU'nue, colour-variation, 43 Phreoi~yctes, generative organs. 1(12 riii/l!>ij>i'rtliii lmrti,-nlnt extra antennae, .".1 I Phyllophorus, tentacles not in multiples of five, 435 I'hi/l/nj,/, n/.r, compared with Hippo- i- 1 1 in /in. i, 309 I'iii/.-ifi ,i,-iitsed hybrid with Herring, 275 riliiiiiiiit.'i. not altered by Entoniscians, 95 I'in/i lin intrrxtititilix. extra legs. 19* .<<•iilirti.ni. extra antennae, 523 rinnipedia, Teeth, 235—21:! 1'i/ni, spinal nerves. 141 in, absent molar. 208 fiitmitix, ^yndactylism in, 356 i*, axial duplicity. "i(il Plaice, symmetrical spotting of blind si le, ir,7 riant, compared to the body of Man, 29 rinti/(-< m* niniliiiiili's, extra legs, 507 Platyonychus, not altered by Entonis- cians. 9"> Platysomatichthys, 471 I'lnu-oiKi-i,:*, pigmentation of blind side, 4C.7. 471 Plume moths, repetition of pattern in wings, 2G A-, double, 35 *, bracliial plexus, 131 Pcecilogale, 232 Pointer, teeth, 221 Piilian vesicles, variation in number of, 434, 435 Poltex, duplicity in, Man, 349 ; Dogs, 401 ]'Ii/ii(lnntf)phia, vertebrae, 123 I'lili/jiln/Uii tli'ct'intinrdtd. extra antennas, .",'is 1'iilitplectron, eye-spots, 449, 450 Pdly/oa, division of embrj'os, 556 Pi'l'l'.v. Iceland, colour-variation, 4tj ; Horned, colour-variation, 47 Pora nia, 4-rayed specimen, 440; irregu- lar division of an arm, 440 Portunion, change in Ctircinus produced by, 95 Purtiiiiiis puber, extra parts on chela, 535; not altered by Eutoniscians, 95 Potoruus, teeth, 358 Premolars, nomenclature, 199 superuumerai'j', Brachyteles, 205; Ateles,2Q6; Mycetes, 208; Canidae, 212—214; Felidffi, 225 ; Herpestidas, 229; Mustelidffi, 231—234; Phocidce, 237—242; Cer- viiii, 246; Phalangeridaa, 248; Phasculoiiale, 257 alisence of, Canidaj, 214 — 216; Felidffi, 224 ; Herpes- ticlffi, 229; Mustelidae, 231 —234 ; Phocidae, 237—242 apparent division, Lraclty- tflex, 205; Canidae, 213; Dtittyuntit, 255; Phocidae, 237 displacement and other va- riations, Simiti, 201 PRIONUS, supposed development of elytra as legs, coriariiiK, 148 variation in number of anten- nary joints, imbriconiis, 411, /noiicvrnis, 412 extra legs, coriurius, 488, 512, fiili/iirnicux, 544, 557, ct>ri- aceux, 548 double (?) antenna, 551 double (?) legs, cttlijorniciw, 544 Prtit-t-reea, double tail. ")(i4 Protozoa, supposed relation to Metazoa, 35 ; duplicity, 566 I'xi'mlochirux, premolars, 250, 255; in- cisors, 248 Pteriiiitichim, extra \egs,luctibhnulus, 512; miihl/t'ldii, 485; prevostii. 512; dou- ble (?) antenna, phinijwnHiii, 550 1'tinus latru, extra legs, 512; extra an- tennae, 522 INDEX OF SUBJECTS. 589 Piijfinug, brachial plexus, 130 Pug, breeds of, 57; teetb, 221 Purpura lapillKa, colour-variation, 48 Putoriiia, teeth, 231, 234 Py;illi!<, extra legs, 498 Silky fowls, 56 X ///./»/ iiii/rita, extra legs, 501; ni- lutn, double (?) leg, 51s silunia, extra tin, 540 Simla, vertebra;, 118; teeth, 200; extra di^'it, lil'.i; extra mamma, 188 Simultaneity of Variation, possibilities of, 2"). •_'<;, 308 ; in fore and hind wind's of Lepidoptera, 2113; in counter- parts, .".<;: I; in colours of segments of Lepidopterous larva;, 303 ; in Chiton idffi, 307; in limbs, 402; in homo- logous twins, 559: in radial segments, 123; not clearly distinguishable from S\ millet IV, ."il'.'.l Sinistral varieties, 54 Situs transversus, 465, 560 Slf-dgt--dog, absence of first premolar, 215; division of premolar, 214 Snn'riiitliiis, colours of larva1, oct'llntus, jxijtiili, tilice, 306, 307 Snakes, vertebrae, 103. 123; axial du- plirity, 561 So/, ri, pigmentation of blind side, 471 x,./, nnjilitirn.1 xtri'iK'iix, double (?) an- tenna, 551 Sorr.r, miked varietv, 51; Spaniel, teeth, 221 Species, the problem of, 2. Methods of attacking, 6 Discontinuity of, a fact, 2 Specific Din'eime.-, indefinite, 2 Sperinathecic of Earthworms, variation in number, &c. of, 160, 165 Sfihn Ton-inn.*, imperfect variation to 6- i ayed state, 437 Sphiiigid.-i', repetition of markings in larvif of, 26; variation in, 304 .s';i///;u- litiitxtri, division ofjiroboscis, 456 .spinal nerves, 12'.i; Birds, 130; Man, 135; Primates, 13S; I'.ra- dypodida1, 141 ; I'lfin, 141; n,iiin, 142 dimorphism in respect of, 138; distribution to limbs, 143 ; Homoeosis, 144; recapitulation, 144 Spinal nerves, principles of distribution, 113 Spiracle, extra in tadpole of Pclolatex, 465 Stability, Organic, 36 Starfishes, theory of origin of repetition in, 29; variations in number of ray-. 439; multiplication by fission, 433 Stcntor, duplicity. ">('.ii .stirhiijiitx, arrangement of tube-feet changes with age, 435 Stickleback, variation in number of bony plates, 276 Stomobrachium octocostatinn, variety having tentacles in double series, 125 StniniiuUa, double (?) antenna, atrn. 551, <-iili-(initii, 551 Strati-i/ii* iintit'iiif, extra legs, 512 Strut hid, brachial plexus, 130 Sti/i'hi, variations in branchial sac, 172 Siibi'iinn-iihiulit, extra eye, 27'.» Substantive Variation, distinguished from Meristic, 23; cor- related with Meristic in vertebra?, 125 in size, 38, 40; in colour, 43 — 4S ; in colour-pat- terns, 48 — 54; miscel- laneous, 54 — 60 Swan, cervical vertebrae, 33; colour- variation of voung, 44 ; Inachial plexus, 130 Symmelian "monster," 459 Symmetry, the conception of, 19, 569 a relation between optic- al images, 19 almost universal pre- sence of in living or- ganisms, 21 of mamma-, 191 in dental Variation, 267 indigital Variation, Man. 324,402; C it, 314; in manus and pes, 4u3 in nuclear division, 430; in variations in seg- mentation of ovum, 463 in variations of homo- logous twins, 559, .".»;<) in double monstrosity, 559 Bilateral, characters of, 88; as appearing in variations of flat- fishes, 467 Major and Minor, 21, 86 Primary and Secondary, 90 Kadial, characters of, S'J INDEX OF SUBJECTS. 591 Symmetry, Secondary, preliminary ac- count, 475; principles, 479 Scheme of relations of parts in, 481 ; parts repeated in, •'>'> Tn>!iltiilijt<'*, ve.rtelii.-e. 116; teeth, 202 'J'rtijiitliiHotii.-i, vertebra-, 128; scales, 270 Trout, bulldog-headed, 58, 59; axial du- Tulip, Meristic Variation in, 00 Turliot, pigmentation oflower side, 407, 170 'J'ltnluK, brachial plexus, 131 Turkey, dibits, 393 Twins, homologous, 559; Simultaneous Variation of. as a case of Bi- lateral Symmetry, 559 Siamese, peculiarities of, 500 ; thoracopagous, 560 in Kchinod.-rms and in Aniphi- oxus, 35 Typosyllis, double head, 504 I'l-n itim. extra parts in chela, 530 Ulna, a second, 331 Ulnar nerve, variations in composition of, 13(5 ; a second. 333 Ungolata, teeth, 243; digits, 360- 3'.»<>.397 I' n ion. median, 458; of horns of Roe- buck, 4GO; of eyes of Bee, 461; of kidneys, 45!); of tentacles of Limit. r, 400; of tentacles of Helix, 401; of posterior limbs of Vertebrates, 459; of dibits in Ox, 383, 386; of digits in Pig, 387—390 Units, of Repetition. 550 I'mi'tnx, braehial plexus, 131 Ureters, supernumerary, 27* •• I'seless" parts, supposed variability of, 78 Uterus, double, Darwin's comment on, 77 ; is a case of median division, 451 Utility, fallacies of reasoning from, 12 Uvula, division of, 451 nt n lii n tn, colour- variation, 46 nrtic(C, extra wing, 2*3 /«. eye-spots, 299, 300 Variation, denned, 3 the Study of, as a method of attacking the problem of Species, 6 Continuous and Discontinu- ous, 15 Meristic and Substantive, distinguished, 23, 24 magnitude of integral steps affected by Merism, 25 about a Mean form, 37 perfection in, 00, 01 causes of, 78 Homo otic, s5. iii \rrtrlme. 100; in Arthropoda, 146; in teeth, 272 Simultaneity of. in repeated parts. 308, 102, 125, 401 Variations, minimal, questionable uti- lity of, 10 Vertebra? , Meristic Variation in, 102 imperfect division, 103, l'>^ Homieotic Variation, 106 reduction in numbers, Man, 111 numerical variation, 102 Man, 103, 100—110; Anthro- poid Apes, 116; Bradypodi- dffi, llH; Carnivora, 122; Reptilia, 123 ; Batrachia, 124 ; features of Variation recapitulated, 127; correla- tion with spinal nerves, 113, 115, 139, 145 l'r.*}n-rii* luriilii*. extra eye, 280 Veronica lni.rhnumii, numerous symme- trical variations in, 70; illus- trating variations of Bila- teral Si-ii.-s. 41* Viverridffl, teeth, 227—231 Waigiu, female Phulanger coloured like male in island of, 254 Wall butterfly, variation in ocelli and neuratiou, 300 Water-pore, extra, in Jlijiiiuiiirin, 460 Webs, between toes of Duck, absent, 401 Weevils, four visible joints in tarsus, 25 Wing, supposed to replace a leg in Z//- rjitna, 148 Wings, supernumerary in Insects, 281 fore and hind, varying simul- taneously in Lepidoptera, 2'.i3 quills of, varying with quills of tail in Pigeons, 309 Woodpecker, Green, colour-variation, 43 Xmitho 2>unctulutnx, duplicity of index, 542 Xiphopagous twins, transposition of viscera in, 560 Xylntrupc.i ,ji,l,nn, variation of horns in. 38 Yellow, variations of, 43-48, 73 Yew, yellow-berried, 47 * culij'orniftnux, molars, 243 Itilmtii.*, premolars. 23*. 212; molars, 243 Zebra, repetition of stripes in, 20 /.i'iiiii>l>tern*, white varieties, 407; varia- tion in dorsal fin, 471 Zaiinliri.-i quadripunctata, double (?) an- tenna, 551 /in/it,'^ ]>r.", Cameron, 185 Canestriui, 58 Cantoni, .",37 Carlet, 5'.i Carpenter, P. H., 421, 422, 436-43* Carre, 339 Cassebohm, 178 Cauroi, du, 344, 354 Cavanna, 539, 555 Cazeaux, 185 Champneys, 139, 185 Chapman, J., 244 Charcot, Is I Chavignerie, de la, 455, 547 Chworostausky, 165 Claparede, 425, 564 Clark, J. A., 51 Clark, J. W., 465 Clarke, E., 397 Claus, 80, 100 Clelaud, 401 Coale, 3-.I3 Cobbold, 566 Cockerell, 44 Cocks, 5.") Colin, 169 Collin, 563, 565 Cook.', A. H., 262, 263 Coquillet, 413 Cori, 156, 157, 158 Cornevin, 363 Cornisb, 150 Cotteau, 446 Couch, 440, 470, 471 Cones, 232, 390 Cowper, 391, 393 Cramer, 346 Cut-not, J29, 433, 441 Cunningham, 320, 467 Curtis, 547 Cusset, 171) Daintree, 376 Dale, 482, 547 Daroste, 458 Darwin, C., 1, 5, 13, 56, 57, 59, 77, 121, 2MS, H'.l Davidoff, 566 I >;i \\sol), 566 Day, 275, 276, 302, 407, 5 JO iH'lplanque, 354, ."-70, 377, 379 De"midoff, 46s IVn.ly, 438 Dcsmarest, 152 Devay, 399 Dimmock, 543 Dobson, :v.\~, Donceel, de, 51 Donitz, 212. 217, 220, 246, 445 Donovan, 302, 471 Dorner, 561 Doue, 456 Doumerc, 512, 550 Drechsel, 455 Drew, 381 Driesch, 35 Dubois, 330 Duhamel du Monceau, 470, 471 Duim'-ril, 554, 563 Dunn, 374 Duns, 528 Duponchel, 456 Dusseau, 352, 355 Duval, 184 Dwight, 325, 334 Ebrard, 166, 304 Eck, 437 K(hvard, T., 43, 174, 563 Ehrenberg, 425, 426, 428 Eichwald, 560 Ekstein, 33'.) Ekstrom, 471 Elwt-s, 15 En^ramelle, 46 Ercolani, 369, '377, 380, 381, 392, 393, 540, 554, o.V) Eudes-Deslongchamps, 180 Fackenheim, 345, 351, 352, 399 Failla-Tedaldi, 295 Fairmaire, 454 Farge, 327, 399 Fauvel, 44, 494, 508, 523 Faxon, 152, 530, 532, 533, 536, 537, 541, 542, 557 Field, 466 Filippi, t'2.") Fischer, 41 Fischer, (Jr., 174 Fischer, P., 54, 279, 5i;f, Fischer de Waldheim, 97 Fisher, W. II., 392 Fitch, 565 Fitch, E. A., 44 Fit/.inger, 200 Flemminj,', 430 Flemyng, 307 Flcutiaux, 548 Flower, W. H., 106, 119, 217, 220, 233 Forbes, E., 54, 425, 460 Forbes, W. A., 356 Forgue, 143 Forskal, 540 Forsyth, 398 Fort, 344, 356, 358 Foster, ~>i\.~> INDEX OF PERSONS. 595 Fotherby, 360, 399 Franck, 368 French, 451 Freund, 459 Freyer, 524 Fricken, von, 512 Friedlowsky, 244, 356 Friele, 2(52, 264 Friend, 563, 565 Fries, 471 Frivaldsky, 500 Froriep, 354 Fumagalli, 336 Fiirbringer, 131, 133, 135, 142 Fiirst, 399 Gadeau de Kerville, 415, 455, 482, 510, 548, 549 Gaillard, 346, 350 Galton, F., 36, 40, 43, 418, 419 Garrod, 390 Gaskell, 86 Gaskoin, 56 Gauthier, 443, 445—447 Gebhard, 459 Gegenbaur, 77 Geissendorfer, 360 Gene, J., 127 Geoffrey St Hilaire, I., 57, 205, 330, 368, 377, 379, 383, 392, 451, 459, 563 Gercke, 285 Gervais, 203 Gherini, 337 Giard, 95, 440, 468, 482, 545 Gibbons, Sir J., 44 Gibson, 166 Giebel, 234 Gifford, 44 Giraldes, 336 Girard, 305 Godman, 53, 297 Godwin-Austen, 286 Goldfuss, 436, 437 Goodman, 376 Goossens, 300 Gordon, 56 Gorre, 187 Gosse, 566 Gosselin, Mrs, 44 Gotte, 127 Gottsche, 466, 471 Goubaux, 180, 244, 245 Grandelement, 355 Grandin, 340 Gray, J. E., 56, 242, 287, 396 Gredler, 286, 511, 512, 550, 551 Green, 515 Grobben, 169 Gruber, W., 108, 111, 119, 122, 330, 345, 346, 350, 352, 354, 359, 360 Guerdan, 458 Guermonprez, 327 Giinther, 173, 174, 260, 309, 468 Gurlt, 368 Gurney, J. H., 43, 55, 392 (in von, 5(56 Guyot-Daubfes, 360 Haacke, 443, 446 Hagen, 148 Hagenbach, 352 Hammond, 305 Hanley, 460 Hannaeus, 184 Harker, A., 419 Harker, J., 354, 399 Harmer, 440, 556 Harrington, 482, 491, 500 Harrison, 211 Hartung, 187 Harvey, 178 Haworth, 45 Heineken, 526 Helbig, 187 Heller, 170 Henneguy, 430 Heunig, 349 Hensel, 203, 209, 212—216, 220, 223. 226, 232, 244, 246, 269 Herdman, 171, 172, 439, 456 Herklots, 527, 528, 529, 542 Heron, Sir E., 453 Heron-Royer, 465, 555, 561 Her rich -Schaffer, 51 Herringham, 137, 138 Hertwig, 0., 431 Heugliu, von, 234, 235 Heusinger, 174, 179 Hewett, 55 Heyden, H. von, 488, 512, 548 Heyden, L. von, 484, 487—490, 494, 517, 523, 550, 551 Reynold, 355 Higgins, 471 Hill, 391 Hincks, 425 His, 177 Hodgson, 209, 398 Hoeven, van der, 218 Hoffmeister, 162 Honrath, 284 Hopkins, 48, 73 Horn, 411 Horst, 565 Howes, 126, 153, 210, 391, 421, 515 Hiibner, 305 Hudson, 56 Htigel, Baron A. von, 39 Humphreys, 221 Humphreys, H. N., 301 Humphry, 200 Huxley, 217, 218, 219 Imhoff, 547 Jackel, 393 Jackson, 331 Jacquelin-Duval, 524 .V.ni INDEX OF PERSONS. Jaeger, G., 536 .luii-on, is-j, I'.M Jayne, 503, 512, 518, 524, :. H, :.47, 548, "i.'.o, 551 Jeffreys, G., 51, 4.'«7 Jekyll. Mis>. 1'J Jentink, 248, 252, 253 Jherm-, von, 140, 142, :3 Mivart, 212, 217, 219 Mobius, 401 Mocquerys, 455, 487, 488, 494, 496, 498, 501, 503, 507, 508, 512, 515, 517, 522, 545—548, 550—552 Mojsisovics, 367 Moniez, 169, 566 Moquin-Taudon, 280, 304 Morand, 346, 34«, 354, 399 Moreau, 540 Morgan, T. H., 157, 466 Morot, 245, 3*4 Morris, F. 0., 44, 401 Mortillet, de, 186 Mosley, S. L., 45, 300 Muir, 352, 399 INDEX OF PERSONS. 597 Miiller, A., 512 Miiller, -T., 173 Murray, 330 Natlmsius, H. von, 285, 373, 374 Nehring, 57, 123, 210, 212, 216, 221, 235, 242 Neill, 540 Neugebaner, 183, 186 Neuhofer, 176 Newman, 51, 295, 300 Newport, 94 Newton, A., 44, 55 Nicholls, 155 Nilssou,. 471 Norman, 100, 457 Notta, 185 Oberteufer, 330 Oberthiir, 44 Ochsenheimer, 46, 284, 302 Odin, 459 Olliff, 51, 52 Otto, 58, 278, 346, 348, 350, 354, 356, 458 Otto, H., 547, 548 Owen, 119, 188, 211, 261 Packard, 100, 457 Paget, Sir J., 175, 177 Pallas, 180 Parry, 520 Partsch, 451 Paullmus, 184, 187 Pavesi, 565 Pelseneer, 280 Penuetier, 482 Percy, 184, 187 Perroud, 512 Perty, 512, 548, 550, 551 Peters, 200, 277 Pbilippi, 443 Pichancourt, 460 Pocock, 93, 457, 565 Pooley, 451 Popham, 355 Porritt, 295 Pott, 399 Potton, 399 Pouchet, 451 Poulton, 304—^07, 320, 321, 323 Prackel, 184 Prevost. 457 Price, 566 Puech, 181 Pusch, 436 Putnam, 174, 396 Piitz, 366 Queustedt, 436 Quinquaud, 185 Rabl, 176 Eagusa, 548 Rambur, 50 Ramsay, R. G. W., 46 Ranse, de, 399 Kapp, 120 Ratlike, 97, 468 Redi, 561 Reichenau, von, 392 Reid, 458 Eeitter, 281 Rey, 547, 550 Richard, 150, 536, 543 Richardson, 148 Richmond, 279 Hidgway, 393 Rijkebusch, 329 Ritzema Bos, 512, 551 Rivers, 47 Eober, 283 Roberts, G., 461 Eoberts, T., 442 Robinson, H., 99 Eoder, von, 551 Eogenhofer, 284, 285 Eomanes, 425-428 Romano, 523 Riirberg, 355 Rosel von Eosenhof, 526, 530, 536 Rosenberg, 116—118, 138, 373, 383 Rosinus, 436 Eouget, 523 Rousseau, 152 Roux, 35 Riidinger, 330 Eudolphi, 207, 244 Eueff, 344 Riitimeyer, 246 Saage, 148 Salvin, 53, 297 Sanderson, 398 Sandifort, 458 Sarasin, 433 Sartorius, 512, 550 Saunders, Howard, 397 Sauvage, 276 Schaff, 210 Schleep, 470 Schlegel, 226 Schmankewitsch, 96 Schmeltz, 566 Schmitz, 177 Schneider, 547, 550 Schneider, A., 174 Schultze, L., 438 Schultze, 0., 194 Sclater, P. L., 396 Sclater, \V. L., 374 Scudder, 50 Seba, 565 Sedgwick, 84, 92, 93, 173, 197 Seerig, 348 Seidel, 176 Seringe, 523 Serville, 412, 413 INDEX OF PERSONS. Shannon, 185 Sharp, D., 13. .-,3, 149, 411, 4s-_>. J'.U. 499 Shaw, E., 413 Shaw, V., 401 Shrirington, 187, 138, 144, 168 Siebold, von, 148 Singly, is I Smit, 471 Smith, E. A., 287 Smith, I-'., 551 Smith, S. J., 151 Sniper, 141 Soubeiran, 529 South, 300 Spengel, 466 Speyer, 283 Spinola. 512 Spronek, 329 Stamati, 538 Stannius, 142, 455, 461, 512, 522, 547 Standinger, 44 Steenstrup, 466, 469 Steindachner, 58, 468 Steinthal, 359 Stevens. 41 Stewart, C., 180, 429, 440, 446 Storer, 471 Strahl, 154 Strauch, 123 Strecker, 51, 283, 295 Streng, 352 Strombeck, von, 436, 438 Struthers, 103, 105—119, 122, 140, 327, 329, 334, 346, 351, 356, 370, 389 Studer, 277 Suudevall, 471 Sutton, 105, 176, 179, 180, 188, 555 Tachard, 398 Tarnier, 185, 345 Taschenberg, 512 Tegetmeier, 57, 393 Testut, 187 Thielruann, 277 Thomas, O., 56, 120, 199, 228, 230, 246 —249, 254, 257, 258, 313, 322, 397 Thompson, W., ."it;") Thomson, 412 Thomson, Wyville, 466 Tiedemann, 184, 512, 536, 540 Tischhein, 511 Traquair, 469 Treitschke, 284 Trelat, 451 Treuge, 512 Trimen, 51, 300 Trinchese, 118 Tuekerman, 170, 555 Turner, Sir W., 465 Urbantschitsch, 177 Vaillant, 309, 471 YJborg, LSI i Yin-how, 74, 177, 178, 17 Yoigt. 5s Vrolik, 58 Wagner, 421 Wanner, J., 451 Walsingham, Lord, 300 Ward, E., 379 Warpachowski, 540 Watase, 451, 403 Waterhouse, F. H., 45, 545 Webb, S., 301 Wehenkel, 366, 368 Weir, J. -Tenner, 45, 51, 52, 254 Weismann, 76, 304—307 Welcker, 118, 120 Weldon, 172 Werner, 170 Wesmael, 521 Westwood, 283, 284, 508, 551 Weyenbergh, 565 White, 44 Wilde, 178 Wilder, 465 Williams, 181, 185, 191 Wilson, 304, 305, 307 Wilson, E. B., 35 Windle, 221, 326, 32M, 392, 560 Wiskott, 285 Wolf, 399 Woodgate, 284 Wood-Mason, 367 Woodward, XI. F.. 160, 162 Woodward, Smith, 259 Wright, 566 Wright, L., 55, 393 Wyman, 57, 203, 226, 401, 465, 561 Yarrell, 59, 469, 471, 540 Yarrow, 561 Youatt, 285, 286 Zeppelin, 565 Ziindel, 180 CAMBRIDGE : 1'RINTED BY C. J. CLAY, M.A. AND SONS, AT THE UNIVERSITY PRESS. EVOLUTION. A THEORY OF DEVELOPMENT AND HEREDITY. By HENRY B. ORR, Ph.D., Professor at the Tulane University of Louisiana. Crown 8vo. 6s. net. SCOTSMAN. — 'Professor Orr does not profess to have proved, or worked out in its detail, his new "Theory of Development and Heredity." 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