MATEBIALS FOR THE STUDY OF VAEIATION. vS>- 'MATERIALS FOR THE STUDY OF VARIATION /, TREATED WITH ESPECIAL REGARD TO DISCONTINUITY IN THE ORIGIN OF SPECIES. BY WILLIAM tBATESON/ M.A. FELLOW OF ST JOHN'S COLLEGE, CAMBRIDGE 'iLontion : • MACMILLAN AND CO. AND NEW YORK. 1894 [All Eights reserved.] (Eambri&gc : PRINTED BT C. J. CLAY, M.A., AND SONS, AT THE UNIVERSITY PRESS. $3? 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 central 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 Vlll 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, Mr W. 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 Ve'terinaire 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 Oldrleld 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 suggestions, 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 all 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 I 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 clue. St John's College, Cambridge. 29 December, 1893. CONTENTS. INTRODUCTION. SECT. 1. The Study of Variation 2. Alternative Methods ..... 3. Continuity or Discontinuity of Variation 4. Symmetry and Meristic Repetition 5. Meristic Variation and Substantive Variation 6. Meristic Repetition and Homology 7. Meristic Repetition and Division . 8. Discontinuity in Substantive Variation : Size 9. Discontinuity in Substantive Variation : Colour and Colour-Patterns 10. Discontinuity in Substantive Variation : Miscellaneous Examples 11. Discontinuity in Meristic Variation : Examples .... 12. Parallel between Discontinuity of Sex and Discontinuity in Variation 13. Suggestions as to the nature of Discontinuity in Variation . 14. Some current conceptions of Biology in view of the Facts of Variation 1. Heredity. 2. Reversion. 3. Causes of Variation. 4. The Variability of "useless" Structures. 5. Adaptation. 6. Natural Selection. PAGE 1 6 13 17 22 28 33 36 42 54 60 66 68 75 PART I. MERISTIC VARIATION Linear Series Radial Series Bilateral Series ..... Secondary Symmetry and Duplicity . CHAPTER I. Arrangement of Evidence . CHAPTER II. Segments of Arthropoda 87—422 423—447 448—473 474_566 83 91 XIV CHAPTER CHAPTER CHAPTER CHAPTER III. IV. V. VI. CHAPTER VII CONTENTS. Vertebrae and Ribs Spinal Nerves Variation in Arthropoda Ch.etopoda, Hirudinea and Cestoda Branchial openings of Chordata and struc- tures IN CONNEXION WITH THEM . 1. Ascidians. 2. Cyclostonii. 3. Cervical Fistula? and Super- numerary Auricles in Mammals CHAPTER VIII. Mamjle CHAPTER IX. Teeth Preliminary. Primates. Canidaa. Felidae. Viverrida?. Muste lida?. Pinnipedia. Marsupialia. Selacbii. Radula? of Buccimun CHAPTER X. Teeth — Recapitulation CHAPTER XL Miscellaneous Examples .... Scales. Kidneys; Renal 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 Ocellar Markings. Simultaneity of Colour-Variation in Parts repeated in Linear Series (Larva? of Lepidoptera : Chitonida?) CHAPTER XIII. Minor Symmetries: Digits . . . . Cat. Pp. 313—324. Man and Apes. Pp. 324—360. Increase in number of digits, p. 324. Cases of Polydactylism associated with change of Symmetry. A. Digits in one Successive Series, p. 326. B. Digits in two homologous groups forming "Double-hands," p. 331. Complex cases, p. 338. Polydactylism not associated with chanye 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. Reduction 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 Artiodactyla, p. 383. Birds, pp. 390—395. Possibly Continuous numerical Variation in digits : miscellaneous examples, pp. 395 — 398 (Chalcides. Cistudo. Eissa. Erinaceus. Elephas.) Inheritance of Digital Variation. Association of Digital Variation with other forms of Abnormality. PAGE 102 129 146 156 171 181 195 265 274 288 311 CONTENTS. XV PAGE CHAPTER XIV. Digits: Recapitulation . . ' . . .400 CHAPTER XV. Minor Symmetries: Segments in Appendages 410 CHAPTER XVI. Radial Series 423 Coelenterata. PedicellariaB of Echinoderms. Cell-Division. CHAPTER XVII. Radial Series: Echinodermata . . .432 CHAPTER XVIII. Bilateral Series 448 CHAPTER XIX. Further Illustrations of the Relationship between Right and Left Sides . . 463 CHAPTER XX. Supernumerary Appendages in Secondary Symmetry 474 Introductory. — The Evidence as to Insects. CHAPTER XXI. Appendages in Secondary Symmetry . . 525 The Evidence as to Crustacea. CHAPTER XXII. Duplicity of Appendages in Arthropoda . 539 CHAPTER XXIII. Secondary Symmetry in Vertebrates. Re- marks on the Significance of Repetition in Secondary Symmetry : Units of Repe- tition 553 CHAPTER XXIV. Double Monsters 559 CHAPTER XXV. Concluding Reflexions 567 INDEX OF SUBJECTS, p. 576. INDEX OF PERSONS, p. 593. CORRIGENDA. p. 23, line 5. For " and that in " read " and in." p. 27, line 29. For " appear" read " appears." p. 37, line 18. For " their " read " the." p. 54. Note 2. For "xxvm" read "xx." p. 55. Parra is now known not to have affinities with the Ballidas. p. 141. In description of Fig. 15 insert "After Solgek." p. 151, line 2 and p. 153, Note. For "W. B." read "G. B." p. 198. For " Pinnipediae " read "Pinnipedia." For "Dent." read "Deut." p. 212. In description of Fig. 40 delete " p1 of the left side is in symmetry with two teeth on the right side." The figure is correct. p. 281, 15th line from bottom. Delete " and perhaps all." p. 382. For "W. H. Benhani" read "W. B. Benham." p. 429. For " Banyul's " read " Banyuls." p. 473, 4th and 6th lines from bottom. For " Tornaria" read " Balanoglossus." p. 526. Delete the heading " (1), Clear cases of Extra Parts in Secondary Symmetry." Note to p. 461, Note 718. As to union of eyes in Bees, see further, Dittrich, Zeit. f. Ent., Breslau, 1891, xvi. p. 21, and Cook, A. J., Proc. Amer. Ass., 1891, p. 327. Note to p. 468, Note 2. In connexion with Giard's observation the following fact should be given. Since this Chapter was printed I have had an opportunity of examining a sample of Flounders taken in the shallow water off Bournemouth. Of 23 specimens seen alive, all but about half a dozen were more or less blotched with shades of brown on the " blind " side. In five the brown was more extensive than the white. The eyes and dorsal fins were normal. The fishmonger who shewed them to me said that the Flounders in that place were generally thus blotched, and that those seen were a fair sample. In estimating the significance of Cunningham's experiment (p. 467) this fact should be remembered. INTRODUCTION. All flesh is not the same flesh : but there is one kind of flesh of men, another flesh of beasts, another of fishes, and another of birds. SECTION I. The Study of Variation. To solve the problem of the forms of living things is the aim with which the naturalist of to-day comes to his work. How have living things become what they are, and what are the laws which govern their forms ? These are the questions which the naturalist has set himself to answer. It is more than thirty years since the Origin of Species was written, but for many these questions are in no sense answered yet. In owning that it is so, we shall not honour Darwin's memory the less ; for whatever may be the part which shall be finally assigned to Natural Selection, it will always be remem- bered that it was through Darwin's work that men saw for the first time that the problem is one which man may reasonably hope to solve. If Darwin did not solve the problem himself, he first gave us the hope of a solution, perhaps a greater thing. How great a feat this was, we who have heard it all from child- hood can scarcely know. In the present work an attempt is made to find a way of attacking parts of the problem afresh, and it will be profitable first to state formally the conditions of the problem and to examine the methods by which the solution has been attempted before. This consideration shall be as brief as it can be made. The forms of living things have many characters : to solve the problem completely account must be taken of all. Perhaps no character of form is common to all living things ; on the contrary their forms are almost infinitely diverse. JSJow in those attempts to solve the problem which have been the best, it is this diversity of form which is taken as the chief attribute, and the attempt to solve the general problem is begun by trying to trace the modes by which the diversity has been produced. In the shape in which it has been most studied, the problem is thus the b. 1 2 THE PROBLEM OF SPECIES. [ixtrod. problem of Species. Obscurity has been brought into the treat- ment of the question through want of recognition of the fact that this is really only a part of the general problem, which would still remain if there were only one species. Nevertheless the problem of Species is so tangible a part of the whole that it is perhaps the best point of departure. For 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 Group. [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 insensibly 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, fit the places they have to live in. NHow have these Discontinuous forms been brought into exist- once, 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) TJie modes and (2) The 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, and 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. [introd. 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 between parent and offspring ? May not Specific Differentiation have resulted from Individual Variation ? This suggestion has been spoken of as the Doctrine of Common Descent, 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. It 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 of the Doctrine of Common Descent there is a balance of evidence; it is besides accepted by most naturalists ; lastly if it is not true we can get no further with the problem : but inasmuch as it is unproven, 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 this common ground. Let us now briefly consider each of them. A. Lamarck'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 buth 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 which 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. Damvin'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 tlie 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 components; and that inasmuch as these coexisting organisms are discontinuous species, the 6 METHODS OF ATTACKING THE PROBLEM. [introd. are apparently identical live under conditions which are apparently very different, while species 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 (2) that there is a wide area of environmental or structural divergence within which no sensible result is produced : that is to say, that the relation between en- vironment and structure is not finely adjusted. But either of these admissions is serious ; for if we grant the former we abrogate the right of judgment, and are granting that our proposed solutions are mere hypotheses which we have no power to test, while if we admit the latter, 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. We 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, Variation, 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 b3 introduced. This is true, but it does not help in 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 clone 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 Studv of Variation will become most evident. 8 THE EMBRYOLOGICAL METHOD. [introd. When the Theory of Evolution first gained a hearing it became of the highest importance that it should be put to some test which should shew whether it was true or not. In comparison with this all other questions sank into insignificance. Now, the principle which has been called the Law of von Baer, provided the means for such a test. By this principle it is affirmed that the history of the individual represents the history of the Species. If then it should be found that organisms in their de- velopment pass through stages in which the}r resemble other forms, this would be prima 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 Study 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 scarcely a single instance. For the stages through which a particular organism passes in the course of its development are admissible as evidence of its pedigree only when it shall have been proved as a general truth that the development of individuals does follow the lines on which the species developed. The proof, however, of this general proposition does not rest on direct observation but on the indirect evidence that particular organisms at certain stages in their development resemble other organisms, and hence it is assumed that they are descended from those forms. Thus the truth of the general proposition is established by assuming it sect, ii.] INTRODUCTION. 9 true in special cases, while its applicability to special cases rests on its having been accepted as a general truth. Probably however the apologists of this method would main- tain that the principle of von Baer, though its truth has not been demonstrated directly, yet belongs to the class of " True Hypotheses." To establish the truth of a hypothesis in a case like the present in which the number of possible hypotheses is not limited, it should at least be shewn that its application in all known instances is so precise, so simple, and in such striking accordance with ascertained facts, that its truth is felt to be irresistible. Nothing like this can be said of the principle of von Baer. Even if it be generally true that the development of a form is a record of its descent, it has never been suggested that the record is complete. Allowance must constantly be made for the omission of stages, for the intercalation of stages, for degeneration, for the presence of organs specially connected with larval or embryonic life, for the interference of yolk and so forth. But what this allowance should be and in what cases it should be made has never been determined. More than this : closely allied forms often develop on totally different plans ; for example, Balanoglossus Kowalevskii has an opaque larva which creeps in the sand, while the other species of the family have a transparent larva which swims at the surface of the sea; the germinal layers of the Guinea-pig when compared with those of the Rabbit are completely inverted, and so on. These are not isolated cases, for examples of the same kind occur in almost every group and in the development of nearly all the systems of organs. When these things are so, who shall determine which de- velopmental process is ancestral and which is due to secondary change ? By what rules may secondary changes be recognized as such ? Do transparent larvae swimming at the surface of the sea reproduce the ancestral type or does the opaque larva creeping in the mud shew us the primitive form ? Each investigator has answered these questions in the manner which seemed best to himself. There is no rule to guide us in these things and there is no canon by which we may judge the worth of the evidence. It is perhaps not too much to say that the main features of the de- velopment of nearly every type of animal are now ascertained, and on this knowledge elaborate and various tables of pliylogeny have been constructed, each differing from the rest and all plau- sible ; but it would be difficult to name a single case in which the immediate pedigree of a species is actually known. The Embryological Method then has failed not for want of knowledge of the visible facts of development but through ignor- ance of the principles of Evolution. The principle of von Baer, |0 THE STUDY OF ADAPTATION. [introd. taken by itself, is clearly incapable of interpreting the phenomena of development. We are endeavouring by means of a mass of conflicting evidence to reconstruct the series of Descent, ljut of the laws which govern such a series we are ignorant. In the inter- pretation of Embryological evidence it is constantly necessary to make certain hypotheses as to the course of Variation in the past, 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 of the variations which are now occurring in animals and the steps by which they are now progressing before our eyes, we shall be in 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 suggest themselves to him, a liberty which has of late been freely used. Embryology 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 most 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 important that its proper use and scope should be understood. We have seen that the Embryological 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 parts 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 oat, 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 real objection however to the employment of the Study of Adaptation as a means of discovering the processes of Evolution is not that its results are meagre and its conclusions unsound. Apart from the doubtful character 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 suggest some way by which in circumstances, known or hypothe- tical, any given structure may be of 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 reason 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 may be of use : the real question we have to consider is of how much use it is. \To know that the presence of a certain organ may 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 also 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 instinct may 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 THE PHYLOGENETIC SERIES : [iktrod. when even these splendid observations cannot be made to shew much more. Surely their use is now rather to point the direction in which we must go for more facts. The questions which by the Study of Variation we hope to answer may be thus expressed. In affirming our belief in the doctrine of the Community of Descent of living things, we declare that we believe 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 series. We believe that all the secondary series together make up one primary series from which each severally arises. This is the fundamental conception of Evolution 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 apply any principle to the Study 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 chararacteristics of Evolution, for Evolution, as we believe, is still in progress. It is really 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 torm, we may describe it as Discontinuous. The several possibilities may be stated somewhat as follows. The 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 of Natural Selection this is by far the most serious. CThe 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 will 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 Variatioi^ 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 M eristic 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 1 8 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 wdiich 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 a 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 thai 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 MEFJSTIC REPETITION. [introd. little doubt that Symmetry is present, though owing to the slight degree of Differentiation, its presence may not be clearly perceived. In the 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 organism 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 ovum 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, they may be seen to occur in two ways ; first, by Differentiation within the limits of a single cell, as in the Radiolaria, 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 differentiated, 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 and differentiation, which are fundamental characters without which Life is not known. The essential unity of the phenomenon of Repetition of Parts and of its companion-phenomenon, Symmetry, wherever met with, has been too little recognized, and needless difficulty has thus been introduced into morphology. To obtain a grasp of the nature of animal and vegetable forms, such recognition is of the first con- sequence. To anyone who is accustomed to handle animals or plants, and who asks himself habitually — as every Naturalist must — how they have come to be what they are, the question of the origin and meaning of patterns in organisms will be familiar enough. They are the outward and visible expression of that order and complete- ness which inseparably belongs to the phenomenon of Life. If anyone will take into his hand some complex piece of living structure, a Passion-flower, a Peacock's feather, a Cockle-shell, or the like, and will ask himself, as I have said, how it has come to be so, the part of the answer that he will find it hardest to give, is that which relates to the perfection of its pattern. And it is not only in these large and tangible structures that 22 VARIATION MERISTIC AND SUBSTANTIVE, [introd. the question arises, for the same challenge is presented in the most minute and seemingly trifling details. In the skeleton of a Diatom or of a Radiolarian, the scale of a Butterfly, the sculpture on a pollen-grain or on an egg-shell, in the wreaths and stars of nuclear division, such patterns again and again recur, and again and again the question of their significance goes unanswered. There are many suggestions, some plausible enough, as to why the tail of a Peacock is gaudy, why the coat of a pollen-grain should be rough, and so forth, but the significance of patterns is untouched by these. Nevertheless, repetitions arranged in pattern exist throughout organized Nature, in creatures that move and in those that are fixed, in the great and in the small, in the seen and in the hidden, within and without, as a property or attribute of Life, scarcely less universal than the function of respiration or meta- bolism itself. Such, then, is Symmetry, a character whose presence among organisms approaches to universality. SECTION V. Meristic Variation and Substantive Variation. It is to the origin and nature of Symmetry that the first section of the evidence of Variation will relate. That a knowledge of the modes of Variation of so universal a character is important to the general study of Biology must at once be evident, but to the particular problem of the nature of Specific Differences this importance is immense. This special importance comes from two reasons. ^As it is the fact first that Repetition and Symmetry are among the commonest features of organized structure, so it will be found next that it is by differences in those features that the various forms of organisms are very commonly differentiated from each other. Their forms are classified by all sorts of characters, by shape and proportions, by size, by colour, by habits and the like ; but perhaps almost as frequently as by any of these, by differences in number of parts and by differences in the geometrical relations of the parts^ It is by such differences that the larger divisions, genera, families, &c. are especially distinguished^ In such cases of course the differences in number and Symmetry do not as a rule stand alone, but are generally, and perhaps always, accompanied by other differences of a qualitative kind ; nevertheless, the differ- ences in number and Symmetry form an integral and very definite part of the total differences, so that in any consideration of the nature of the processes by which the differences have arisen, special regard must be had to these numerical and geometrical, or, as I propose to call them, Meristic, changes.^ SECT, v.] INTRODUCTION. 23 In the present Introduction I do not propose to forestall the evidence more than is absolutely necessary for the purpose of making clear the principles on which the facts are grouped, but it will do the evidence do wrong if at the present stage it is stated that Meristic Variation is frequently Discontinuous, and that in the case of certain classes of Repetitions is perhaps always so. The nature of Merism and the manner in which Meristic Variations occur will be fully illustrated hereafter,^ but it is necessary to say this much at the present stage, since it is from this Discontinuity in the occurrence of Meristic Variations that the phenomena of Symmetry and Repetition derive their special importance in the Study of Variation./ The importance of the phenomena of Merism to the Study of Variation is thus, in the first instance, a direct one, for the Varia- tions which have resulted in the production of Meristic Systems are a direct factor in Evolution. In addition to this direct relation to the Study of Variation, the phenomena of Merism have also an indirect relation, which is scarcely less important ; for they are a factor in the estimation of the magnitude of the integral steps by which Variation proceeds. This will be more evident after the second group of Variations has been spoken of. \ We have thus far spoken only of the processes by which the living body is divided into parts, and we have thus constituted a group which is to include Variations in number, Division, and geo- metrical position. From these phenomena of Division may be distinguished Variations in the actual constitution or substance of the parts themselves. To these Variations the name Substan- tive will be given. Under this head several phenomena may be temporarily grouped together, which with further knowledge will doubtless be found to have no real connexion with each other. For the present, however, it will be convenient to constitute such a temporary group in order to bring out the relative distinctness of Variations which are Meristic."^ s These two classes of Variation, Meristic and Substantive, may be recognized at the outset of the study. There can be no doubt that they are essentially distinct from each other, and the proof that they are thus distinct will be found in the evidence of Varia- tion, for it will be seen that either may occur independently of the other. An appreciation of this distinction is a first step towards a comprehension of the processes by which the bodies of organisms are evolved. A few simple illustrations may make the nature of these two classes of Variations more clear. For example, then, the flower of a Narcissus is commonly divided into six parts, but through Meristic Variation it may be divided into seven parts or into only four. Nevertheless there is in such a case no perceptible change 24 ILLUSTRATIONS. [iNTROD. in the tissues or substance of which the parts are made up. All belong to and are recognizable as belonging to the same sort of Narcissus. On the other hand many Narcissi, N. corbularia, for example, are known in two colours, one a dark yellow and the other a 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 Vertebrae, in which individual members or groups of members of the series are 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 Vertebras greater or less than the normal ; and though in such cases all the Vertebrae 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 Vertebras, and causing individual Vertebras 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 are 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 setae 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 ; These examples of Discontinuity in Substantive Variation must suffice to illustrate the nature of the phenomena. It will be seen that the matters touched on cover a wide range, and the evidence relating to them must be considered separately and at length. Such a consideration I hope in a future volume to attempt. SECTION XI. Discontinuity in Meristic Variation : Examples. Inasmuch as the facts of Meristic Variation form the substance of this volume, it is unnecessary in this place to do more than refer to the manner in which they exhibit the phenomenon of Dis- continuity. One or two instances must suffice to give some sug- gestion of this subject, detailed consideration being reserved. Parts repeated meristically form commonly a series, which is either radial or linear, or disposed in some other figure derived from or compounded of these. For the purpose of this preliminary treatment an instance of Discontinuous Variation in each of these classes may be taken. 1. Radial Series. \Variations in the number of petals of actinomorphic flowers exhibit the Discontinuity of Meristic Variation in perhaps its simplest form. Phenomena of precisely similar nature will hereafter be de- scribed in animals, but such variations in flowers are so common and so accessible that reference to them may with profit be made. In Fig. 7 such an example is shewn. It represents a Tulip having the parts of the flower formed in multiples of four, instead of in multiples of three as normally. Variation of this kind may be seen in any field or hedgerow1. Meristic Variation is here presented in its greatest simplicity. Such a case may well serve to illustrate some of the phenomena of Discontinuity. 1 For full literature and lists of cases see especially Masters, Vegetable Teratology, s. v. Polyphylly. It is perhaps unnecessary to refer to the fact that the numerical changes here spoken of are quite distinct from those which result from an assumption by the members of one series or whorl of the form and characters proper to other whorls. SECT. XI.] INTRODUCTION. Gl A form with four segments occurs as the offspring of a form with three segments. .vSuch 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 appeared 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. .^^ ^^f/' Taking the five-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 joints 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 condition just as there is a "normal" five- jointed condition. In the same way, then, that the ratio of the length of each of the five joints to that of the whole tarsus is not always identical but exhibits small variations, so the ratios of the several joints of the four-jointed tarsus to the length of the whole tarsus also vary, but in each case the ratio has a mean value which is approached with a frequency conforming to a curve of Error. The measurements established also another fact which is of consequence to an appreciation of the nature of totality in Variation. It not only appeared that the departures from the mean value of these ratios in the four-jointed variety were dis- tributed about the mean in the same way as those of the five- jointed form, but it was also shewn that the absolute varia- tions from the mean values of these ratios were not on the whole greater in the four-jointed tarsi than in the five-jointed tarsi. In other words, the four-jointed tarsus occurring thus sporadically, as a variety, is not less definitely constituted than the five jointed type, and the proportions of its several joints are not less constant. It is scarcely necessary to point out that sect, xi.] 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 live 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 Blatta, 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 regeueration, 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-jointed state. We have also seen the 4-jointed 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-jointed, 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. [introd. SECTION XII. Parallel between Discontinuity of Sex and Discontinuity in Variation. The application of the term Discontinuity to Variation must not be misunderstood. It is not intended to affirm that in dis- continuous Variation there can be between the variety and the type no intermediate form, or that none has been known to occur, and it is not even necessary for the establishment of Discontinuity that the intermediate forms should be rare relatively to the perfect form of the variety, though in cases of discontinuous Variation this is generally the case ;-4>ut it is rather meant that the perfect form of the variety may appear at one integral step in Descent, either without the occurrence of intermediate grada- tions, or at least without the intercalation of such graduated forms in the pedigree.^ In the case of the tarsus of Blatta we have seen an example of a total and complete Variation affecting single members of a series of repeated parts, not collectively, but one or more at a time1. Such an instance of a Meristic Variation occurring in a state which is total as regards members of a series but not total as regards the whole series finds many parallels among Substantive Variations, as, for example, that of the Crab {Cancer pagurus) bearing the right third maxillipede fashioned as a chela, while the left third maxillipede was normal. Variations of this nature in plants are of course well known to all. At a previous place (Section vn.) allusion was made to the familiar but very curious analogy between members of a series of Meristic parts and separate organisms. The facts of Variation bring out this analogy in many singular ways, and in speaking of the totality of Variation it is necessary to bear these facts in mind. Not only are there abundant instances of independent division or multiplication of single members of Meristic series, but as has been said, single members of such series may thus inde- pendently and singly undergo qualitative or Substantive Variation, being treated in the physical system of the body as though they were separate units. In Variation, therefore, though it will be sumption that the variation may at least sometimes be congenital. Supposing however that this shall be found hei-eafter not to be the case, I do not think that the deductions drawn from the facts will be less valid. The conclusions as to the definiteness of the two types, and the relationships of the several parts of each to the several parts of the other, would still hold good. There are besides in other forms, instances of similar numerical Variation, as for example, in the number of joints in the antenna of Prionidas, where the hypothesis of change on renewal is impossible, from which a similar argument might be drawn ; but on the whole I have preferred to leave the account as it stands, taking the case of Blatta as an example, because it is easily accessible and because, from the fewness of the joints concerned, the issues are singularly clear. 1 See Note at the end of Section xr. 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 I 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 to 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 tine 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 NATURE OF DISCONTINUITY. [introd. The best known instance of this is that of gynandromorphic insects, in which the characters of the whole or part of one side of the body, wings and antennae, are male, while those of the other side are female. Remarkable instances of a similar pheno- menon have been recorded among bees and will be described later. As is well known, the organs and especially the legs of the sex- less females or workers are formed differently from those of the drones, but there are cases of individuals having some of the parts 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 sexes may still be not completely blended, the male type pre- vailing in some parts, and the female in others. In the Dis- continuity of Substantive Variation will be found examples of imperfect blending of variety and t}?pe closely comparable with this case of the imperfect blending of Sex. SECTION XIII. Suggestions as to the natuee of Discontinuity in Variation. The observations at the end of Section XI, regarding the Dis- continuity of Meristic Variation lead naturally to certain reflexions as to the nature of Discontinuous Variation in general. 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 Vai-iation is I continuous and that the Discontinuity of Species results from the operation of Selection. For reasons given above (pp. 15 and 1G) there I 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 removedf 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 70 MECHANICAL. [introd. that lie ahead in the Study of Variation, that the great value of this method can be understood. It has been seen that variations may be either Meristic or Substantive, and that in each group discontinuous and definite variations may occur by steps which may be integral or total. We are now seeking the factors which determine this totality and define the forms assumed in Variation. In this attempt we may, by arbitrarily confining our first notice to very simple cases, recog- nize at least two distinct factors which may possibly be concerned in this determination. Of these the first relates to Meristic Variation and the second to Substantive Variation. 1. Possible nature of the Discontinuity of Meristic Variation. Looking at simple cases of Meristic Variation, such as that of the Tulip or of Aurelia, or of the Cockroach tarsus, there is, I think, a fair suggestion that the definiteness of these variations is deter- mined mechanically, and that the patterns into which the tissues of animals are~3Ivided represent positions in which the forces that effect the division are in equilibrium. On this view, the lines or planes of division would be regarded as lines or planes at right angles to the directions of the dividing forces ; and in the lines of Meristic Division we are perhaps actually presented with a map of the lines of those forces of attraction and repulsion which determine the number and positions of the repeated parts, and from which Symmetry results. If the Symmetry of a living body were thus recognized as of the same nature as that of any sym- metrical system of mechanical forces, the definiteness of the sym- metry in Meristic Variation would call for no special remark, and the perfection of the symmetry of a Tulip with its parts divided into four, though occurring suddenly as a " sport," would be recog- nized as in nowise more singular than the symmetry of the type. Both alike would then be seen to owe their perfection to me- chanical conditions and not to Selection or to any other gradual process. If reason for adopting such a view of the physics of Division should appear, the frequency with which in any given form a particular pattern of Division or of Symmetry recurs, would be found to be determined by and to be a measure of the stability of the forces of Division when disposed in that particular pattern. (It will of course be understood that_jn_these remarks no suggestion is offered as to the causes which determine whether a tissue shall divide into four or into three, but merely as to the conditions of perfection of the division in either case!^ It will also Be" clear that l^ough~the symmetry of aTflower or" of any other tissue depends also on symmetrical growth, it is primarily dependent on the symmetry of its primary divisions, upon which symmetrical growth and secondary symmetrical divisions follow. sect. XIII.] INTRODUCTION. 7 1 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_jLhe- casa^of Meristic_Variation, by_ arbitrarily limi^.i^g^t.h^ examination to tih^«p rases^which seem th£_-simplesi_it-_ appears that__there is at least an analogy— ba- tweeji_jtheJ2Q_ajicL-cextain mechanical phenomena, ^o_Jby_-simi-lar-ly restricting ourselvj^S-J^Q—v-er^L-simplp c.«.ses there-will be seen_to be a similar a,naJp^y_hgjvwei>.rj the- discontjnnity of soii^e Sub- stautive'Variationsand that of chemical jpscTmlinTuTtyi/ It is ofpfrhe 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 undergo definite changes when chemi- cally acted on by reagents, and it is not suggested that the definiteness and discontinuity of the various colours assumed is dependent on anything but the definiteness of the chemical changes undergone. The changes of litmus and many vegetable blues to red on treatment with acids, of many vegetable yellows to brown on treatment with alkalies, the colours of the series of bodies produced by the progressive oxidation of biliverdin are familiar examples of such definite colour-variations. With facts of this kind in view, the conclusion is almost forced on us that the definiteness of colour-variation is a conse- quence of the definiteness of the chemical changes undergone. No one doubts that the orange colouring matter of the variety of the Iceland Poppy (P. nudicaule) 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 the flower shall be orange or yellow ; and I think it is reasonable to expect that the frequency with which the flowers are either yellow or orange as compared with the rarity of the intermediate shades is an expression of the fact that the yellow and orange forms of the colouring matter have a greater chemical stability than the intermediate forms of the pigment, or than a mixture of the two pigments. If then it should happen, as we may fairly suppose it might, that the orange form were to be selected and established as a race, it would owe the definiteness of its orange colour and the precision of its tint, not to the precision with which Selection had chosen this particular tint, but to the chemical discontinuity of which the originally discontinuous Variation was the expression. (r To pass from the case of a sport to that of Species, it is well known that of the many S. African butterflies of the genus Euchloe ( = Anthocharis, Orange-tips), some have the apices or tips of the fore-wings orange-red (for example, E. danae), while in others they are purple (for example, E. ione). Upon the view that the transition from orange to purple, or 2iice_jversaf had been continuously effected by the successive Selection of minute variations, we are met by all the difficulties we know so well. Why is purple a good colour for this creature ? If purple is a good colour and red is a good colour, how did it happen that at some time or other all the intermediate shades were also good enough to have been selected ? and so on. These and all the cognate difficulties are opened up at once, and though they have been met in the fashion we know, they have scarcely been over- come. But at the outset this view assumes that every inter- mediate may exist and has existed, an assumption which is gratuitous and hardly in accordance with the known fact that chemical processes are frequently discontinuous. When besides sect, xiil] INTRODUCTION. 73 this it is known that Variation may be discontinuous, I submit that it is easier to suppose that the change from red to purple was from the first complete, and that the choice offered to Selec- tion was between red and purple ; and that the tints of the purple and of the red were determined by the chemical properties of the body to which the colour is due. This case is a particularly interesting one in the light of the fact that, as Mr F. G. Hopkins has lately shewn me, this purple colour, dissolved in hot water, leaves on evaporation a substance which gives the murexide reaction and cannot as yet be distinguished from the substance similarly derived from the orange or yellow colouring matters of Pieridse in general. As was stated above, Mr Hopkins has shewn that these yellows are acids, allied to mycomelic acid, a derivative of uric acid, and therefore of the nature of excret- ory products. Whether the purple body is related to the yellow or to the orange as a salt is to an acid, or otherwise, cannot yet be affirmed ; but if the difference between them is a chemical difference, which can hardly be doubted, there is at least a pre- sumption that the discontinuity of these colours in the several species, is an expression of the discontinuity of the chemical properties of this body. The possibility that from such bodies a series of substances might perhaps by suitable means be pre- pared in such a way as to represent many or even all intermediate shades, does not greatly affect the suggestion made ; for even in such series it is almost certain that points of comparative stability would occur, and Discontinuity would be thus introduced. The case of Colour has been taken in illustration because it is the simplest and most intelligible example of the possibility that the Discontinuity of some Substantive Variations is deter- mined by the Discontinuity of the chemical processes by which the structures are produced. It is true that perhaps no species has been rightly differentiated by colour alone, but colour is still one of the many characters which go to the distinguishing of a species, and it is precisely one of the characters whose significance and delimitation by Natural Selection is most obscure. Moreover by the fact that in the case of these yellow and red Pieridae the colours are of an excretory nature, we are reminded that Variation in colour may be an index of serious changes in the chemical economy of the body, and that when an animal is said to be selected because it is red or because it is purple, the real source of its superiority may be not its red colour or its purple colour, but other bodily conditions of which these colours are merely symptoms. By those who have attempted to reconcile the phenomena of Colour with the hypothesis of Natural Selection this fact is too often overlooked. But though it may reasonably be supposed that much of the Discontinuity of Variation and some of the Discontinuity of 74 ANALOGY OF DISEASE. [introd. Species arise through discontinuous transition from one state of mechanical or chemical stability to another state of stability, there nevertheless remain large classes of discontinuous variations, and of Specific Differences still more, whose Discontinuity bears no close analogy with these. To these phenomena inorganic Nature offers no parallel. We may see that they are discontinuous and that their course is in some way controlled, but as to the nature of this control we can make no guess. Though the resemblance may be misleading, it is neverthe- less true that in living Nature there are other phenomena, those of disease, which present a Discontinuity closely comparable with that of many variations. In problems of disease we meet again the same problem which we meet in Variation, namely, changes which may be complete or specific, though occurring so suddenly as to exclude the hypothesis that Selection has been the limiting cause. All this is familiar to everyone who has considered the problem of Species. For though, like discontinuous variations, the mauifestations of specific disease are not always identical, but differ in intensity and degree, varying about a normal form, still these manifestations may be specific in the sense in which the term is used with reference to the characters of Species. If we exclude those diseases whose specific characters are now known to be the result of the invasion of specific organisms, there still remain very many which are known and recognized by definite and specific symptoms produced in the body, though there is as yet no evidence that they are due to specific organisms. [Of course if it were shewn that these diseases also result from the action of specific organisms, they then only present to us again the original problem of Species ; for if the definiteness, or Species, of a disease is due to the definiteness, or Species, of the micro-organism which causes it, the cause of that definiteness of the micro-organism remains to be sought, and we are simply left with a particular case of the general problem of Species.] But in the meantime we can see that the manifestations are specific ; and while we do not know that they result from causes themselves specific, the nature of the control in obedience to which they are specific is unknown. The parallel between disease and Variation may be mis- leading, but this much at least may fairly be learned from it : that the system of an organized being is such that the result of its disturbance may be specific. And in the end it may well be that the problem of Species will be solved by the study of pathology ; for the likeness between Variation and disease goes far to support the view which Virchow has forcibly expressed, that " every deviation from the type of the parent animal must have its foundation on a pathological accident1." 1 R. Virchow, Journal of Pathology, i. 1892, p. 12. sect, xiv.] INTRODUCTION. 75 SECTION XIV. Some current conceptions of Biology in view of the facts of Variation. Enough has now been said to explain the aim of the Study 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 W 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 76 REVERSION. [introd. to interpret Homology on this view of Heredity, I have already spoken in Section VI. Secondly, the metaphor of Heredity misrepresents the essential phenomenon of reproduction. In the light of modern investiga- tions, and especially those of Weismann on the continuity of the germ-cells, it is likely that the relation of parent to offspring, if it has any analogy with the succession of property, is rather that of trustee than of testator. Hereafter, perhaps, it may be found possible to replace this false metaphor by some more correct expression, but for our present purpose this is not yet necessary. In the first exami- nation of the facts of Variation, I believe it is best to attempt no particular consideration of the working of Heredity. The phenomena of Variation and the origin of a variety must necessarily be studied first, while the question of the perpetua- tion of the variety properly forms a distinct subject. Whenever in the cases given, observations respecting inheritance are forth- coming they will be of course mentioned. But speaking of dis- continuous Variation in general, the recurrence of a variation in offspring, either in the original form or in some modification of it, has been seen in so many cases, that we shall not go far wrong in at least assuming the possibility that it may reappear in the offspring. At the present moment, indeed, to this state- ment there is little to add. So long as systematic experiments in breeding are wanting, and so long as the attention of naturalists is limited to the study of normal forms, in this part of biology which is perhaps of greater theoretical and even practical im- portance than any other, there can be no progress. 2. Reversion. Around the term Reversion a singular set of false ideas have gathered themselves. "^On the hypothesis that all perfection and completeness of form or of correlation of parts is the work of Selection it is difficult to explain the discontinuous occurrence of new forms possessing such perfection and completeness!^ To account for these, the hypothesis of Reversion to an ancestral form is proposed, and with some has found fayour. That this suggestion is inadmissible is shewn at once by the frequent occur- rence by discontinuous Variation, of forms which though equally perfect, cannot all be ancestral. In the case of Veronica and Linaria, for example, a host of symmetrical forms of the floral organs may be seen occurring suddenly as sports, and of these though any one may conceivably have been ancestral, the same cannot be supposed of all, for their forms are mutually exclusive. On Veronica buasbaumii, for instance, are many symmetrical flowers, having two posterior petals, like those of other Scrophu- larinese : 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 time2." Descent of Man, vol. i. pp. 123 and 124. 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 Floral Symmetry. Joxirn. Linn. Soc, xxvm. p. 386. 2 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 mammae 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 mammas 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, symmetrical organ. It would probably help the science of Biology if the word 'Reversion' and the ideas which it denotes, were wholly dropped, at all events 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 certain stock gives off a number of individuals which vary about a normal ; and that after having given them off, it begins to give off individuals varying about another normal. We want to say that among these it now and then gives off one which approaches the first normal, that shooting at the new mark it now and then 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 not have hit it if it had not aimed at it in a bygone age. To apply this to any other matter would be absurd. We might as well say that a bubble would not be round if the air in it had not learned the trick of round- ness by having been in a bubble before : that if in a bag after pulling out a lot of white balls I find a totally red one, this proves that the bag must have once been full of red balls, or that the white ones must all have been red in the past. Besides the logical absurdity on which this use of the theory of Reversion rests, the application of it to the facts of Variation breaks down again and again. I have already mentioned some cases of this, but there are many others of a different class. For instance, it will be shewn that the percentage of extra molars in the Anthropoid Apes is almost the highest reached among mammals. On the usual interpretation, such teeth are due to Reversion to an ancestral condition with 4 molars, and on less evidence it has been argued that a form frequently shewing such " Reversion " is older than those which do not. From this reason- ing it should follow that the Anthropoids are the most primitive form, at least of monkeys. It is surely time that these brilliant and facile deductions were no more made in the name of science. 3. Causes of Variation. Inquiry into the causes of Variation is as yet, in my judgment, premature. 4. The Variability of " useless " Structures. The often-repeated statement that " useless " parts are especially variable, finds little support in the facts of Variation, except in as far as it is a misrepresentation of another principle. The examples taken to support this statement are commonly organs standing 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 80 NATURAL SELECTION. [introd. of one part of the economy, but rather the nett fitness of the whole. 6. Natural Selection. In the view of the phenomena of Variation here outlined, there is nothing which is in any way opposed to the theory of the origin of Species " by means of Natural Selection, or the preserva- tion of favoured races in the struggle for life." But by a full and unwavering belief in the doctrine as originally expressed, we shall in no way be committed to representations of that doctrine made by those who have come after. A very brief study of the facts will suffice to gainsay such statements as, for example, that of Claus, that " it is only natural selection which accumulates those altera- tions, so that they become appreciable to us and constitute a varia- tion which is evident to our senses1." For the crude belief that living beings 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 attributes may be subtracted or any other attribute added in indefinite proportion, is a fancy which the Study of Variation does not support. Here this 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 lead some to study those phenomena. That the study of Variation is the proper field for the development of biology there can be no doubt. It is scarcely too much to say that the study of Variation bears to the science of Evolution a relation somewhat comparable with that which the study of affinities and reactions bears to the science of chemistry : for we might almost as well seek for the origin of chemical bodies by the comparative study of crystallo- graphy, as for the origin of living bodies by a comparative study of normal forms. 1 Text-book of Zoology, Sedgwick and Heathcote's English translation, vol. i. p. 148. In the original the passage runs : " erst die naturliche Zuchtwahl hriuft und verstcirkt jene Abweichungen in dem Masse dass sie fur tins wahrnehmbar werden und eine in die Augen fallende Variation bewirken." C. Claus, Lehrb. d. Zool., Ed. 2, 1883, p. 127, and Grundziige der Zoologie, 1880, Bd. i. p. 90. The italics are in the original. ' B. PART I. MERISTIC VARIATION. 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; secondly, 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 mammas, or cervical fistulse, 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 MERISTIC 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 strict classification of the facts is attempted. The evidence of Meristic 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 and body-segments in Peripatus edwai^dsii varies from 29 to 34 l: here the variation in number must be a manifestation of an original difference in the manner of division or segmentation in the progress of development. The change is strictly Meristic or divisional. On the other hand, change in number may arise by the Substantive Variation of members of a Meristic series already constituted. For example, the evidence will shew that the number of oviclucal openings in Astacus may be increased from one pair to two or even three pairs. Here the numerical variation has come about through the assumption by the penultimate and last thoracic appendages, of a character typically proper to the append- ages of the antepenultimate segment of the thorax alone. Now there is here no change in the number of segments composing the Meristic series, but by Substantive Variation the number of openings has been increased. The case of the modification of the antenna of an insect into a foot, of 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, which consist in the assumption by one member of a Meristic series, of the form or characters proper to other members of the series, should be recognized as constituting a distinct group of phenomena. In the case of plants such Variation is very common and is one of the most familiar forms of abnormality. Masters, in his treatise on Vegetable Teratology2, recognizes this phenomenon and gives to it the name " Metamorphy," adopting the word from Goethe. As Masters says, so long as it is only proposed to use the word in Teratology, no great confusion need arise from the fact that the same term and its derivatives are used in a different sense in several branches of Natural History. But if, as I hope, the time has come when the facts of what has been called " Tera- tology" will be admitted to their proper place in the Study of Variation, this confusion is inevitable. In this study, besides, this particular kind of variation will be found to be especially impor- tant and I believe that in the future its significance and the mode of its occurrence will 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. 1 Sedgwick, A., Quart. Jour. Micr. Sci., 1888, xxviii. p. 467. - Masters, M. T., Vegetable Teratology, p. 239. chap, i.] ARRANGEMENT OF EVIDENCE. 85 For the word 'Metamorphy' I therefore propose to substitute the 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 Homceotic Variation and strictly_Meristic Variation is sufficiently obvious, but many numerical changes occur whicfT 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 vertebras &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 mammae, 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 mammae, 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 86 MERISTIC VARIATION. [part i. become differentiated to form members of such non-coincident or independent Meristic series. Some years ago1, in the course of an argument that Balanoglossus should be considered as representing some of the ancestral characters of Chordata, I had occasion to refer to some of these difficulties, and especially to the different characters of the two kinds of segmentation ; that of the Annelids, in which the repetitions of the organs belonging to the several systems are coincident, and, on the other hand, that of the Chordata, for example, in which this coincidence may be irregular or partial. At that time I was of opinion that these two sorts of segmentation may, in certain cases, have had a different phylogenetic history, and have resulted from processes essentially distinct. It appeared to me that we should recognize that, in the Annelids on the one hand, segmentation of the various systems of organs had been coincident from the beginning, while in the Chordata the segmentation had been progressive and had arisen by segmentation or repetition of the organs of the several systems independently. The reasons for this view were derived chiefly from the fact that it is possible to arrange the lower Chordata in order of progressive segmen- tation of the several systems. In particular such treatment was shewn to be applicable to the central nervous system, the vertebral column and the mesoblastic somites, and in these cases it was maintained that the evidence of the lower forms of Chordata goes to shew that segmen- tation had occurred in these systems one after another, and that their segmentation was not derived from a form having a complete repetition of each part in each segment : that these forms, in fact, shewed us the history of this progress from a less segmented form to one more fully segmented. The views then set forth have met with little acceptance. Those who are occupied with the search for the pedigree of Vertebrates still direct their inquiries on the hypothesis, expressed or implied, that in the ancestral form there was a series of complete segments, each containing a representative of each system of those organs which in the present descendants appear in series. It is thus supposed that each segment of the primitive form must have been a kind of least common denominator of the segments of its posterity. The possibility that the segmentation of Vertebrates may have arisen progressively is, indeed, scarcely considered at all. Though in the light of the study of Variation, it now seems to me that the discussion of these questions must be indefinitely post- poned, and that there are radical objections to any attempt to interpret the facts of anatomy and development in our present ignorance of Variation, I have seen no reason to depart from the view expressed in the paper referred to : that interpreted by the current methods of morphological criticism, the facts go to shew that the segmentation of the Chordata differs essentially from that of the Annelids &c, and that it has arisen by progressive segmentation of the several systems of an originally unsegmented form. To those who hold as Dohrn, Gaskell, Marshall and others have done, that the evolution of Vertebrates has 1 Quart. Jour. Mier. Sci., 1886. CHAP, l] ARRANGEMENT OF EVIDENCE. 87 been a progress from a more fully segmented form to forms less seg- mented, I would again point out that this view is in direct opposition to the indications afforded by the lower Chordata, which are less and not more segmented than the higher forms. The hypothesis of an ancestor made up of complete segments is resorted to because it is felt to be difficult to conceive the progressive building up of a segmented form, but on appeal to the facts of Variation the evidence will clearly shew that Repetition of parts previously exist- ing is a quite common phenomenon; that such repetition may occur in almost any system of organs; and lastly that such new repetitions may be coincident in the several systems. To argue moreover that these repetitions, for instance that of oviducal apertures in Astacus, of mammae or cervical ribs in mammals are "reversions," leads to ab- surdity, for on the same reasoning, the occurrence, in the Crab, of a third maxillipede formed as a chela, would shew that these appendages had been originally chela?, that the occurrence of petaloid sepals shews that the sepals had originally been petals, and so forth. These considerations will suffice to illustrate the great difference of degree, if not of kind, which probably exists between these two kinds of segmentation, that which arises by the repetition of bud- like segments, each containing parts of many systems on the one hand, and the progressive and separate segmentation of the several systems on the other. For reasons already given, however, I shall not attempt in this first collection of evidence to separate the facts on these lines. Though some cases can at once be seen to be strictly Meristic while others are plainly Homoeotic, many cannot be affirmed to belong to the one group rather than to the other. There is, besides, a serious doubt whether perhaps after all, Homoeotic Variation even in its most marked forms, may not ultimately rest on and be an expression of a change in the pro- cesses of Division, and be thus, at bottom, strictly Meristic also. In our present ignorance of the physics of Division, this doubt cannot be satisfied, and therefore it will be best to make no definite separation between the two classes of variations, though whenever the nature of a given variation is such that it may at once be recognised as Homoeotic, it will be well to specify this. In the absence of a more natural classification, the material has been roughly arranged with reference to the geometrical disposition and relations of the structures concerned. In the Introduction, Section IV. p. 21, reference was made to the fact that the Symmetry of an organism may be such as to include all the parts into one system of Symmetry, and for such a system the term Major Symmetry was proposed. Systems of this kind are seen in the Vertebrates and Echinoderms, for example. On the other hand systems of Symmetry occur in limbs and other separate parts of organisms, in such a way that each such system is either altogether or partially geometrically complete and symmetrical in itself. For example, the toe of a Horse, the arm of a Starfish, the 88 MERISTIC VARIATION. [part I. eye-spots of some Satyrid butterflies, &c, are each in themselves nearly symmetrical. To these separate systems of Symmetry the term Minor Symmetry will be applied. Minor Symmetries may or may not be compounded into a Major Symmetry. Between these there is of course no hard and fast line. In each class of Symmetry, Meristic Repetition may occur, and the repeated parts then stand in either I. Linear or Successive Series. "j p II. Bilateral or Paired Series. / >»aa* \\ III. Radial Series. S ^ V Parts meristically repeated may thus stand in one or more geometrical relations to each other, and the first part of the evidence of Meristic Variation will be arranged in groups according as it is in one or other of these relations that the parts are affected. In each group cases affecting Major Symmetry will be given first, and those affecting Minor Symmetries will be taken after. As it is proposed to arrange the facts of Meristic Variation in groups corresponding with these three forms of Meristic Repetition, it will be useful to consider briefly the nature of the relation in which the members of such series stand to each other, and the characters distinguishing the several kinds of series. Reduced to the simplest terms, the distinction may be thus expressed. In the Linear or Successive series the adjacent parts of any tivo consecutive members of the series are not homologous, but the severally homologous parts of each member or segment form a successive seines, alternating with each other. For example, the anterior and posterior surfaces of such a series of segments may be represented by the series ^i , AP, AP, AP, P. The relation of any pair of organs in Bilateral Symmetry differs from this, for in that case each member of the pair presents to its fellow of the opposite side parts homologous with those which its fellow presents to it, each being, in structure and position, an optical image of the other. The external and internal surfaces of such a pair may therefore be represented thus : E 1,1 E. If the manner of origin of these two kinds of Repetition be considered, it will be seen that though both result from a process of Division, yet the manner of Division in the two cases is very different. For in the case of division to form a paired structure, the process occurs in such a way as to form a pair of images, of which similar and homologous parts lie on each side of the plane of division ; while, in the formation of a chain of successive segments, each plane of division passes between parts which are dissimilar, and whose homology is alternate. The distinction between these two kinds of Division is of course an expression of the fact that the attractions and repulsions 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 MERISTIC VARIATION. [part I. that in any study of this subject reference to it cannot be omitted. The evidence in question relates first to abnormal repetition of limbs or other peripheral structures, (which in the normal form are grouped into and form part of a system of Symmetry,) such ab- normal repetitions occurring in such a way as to lie outside this normal system of Symmetry and unbalanced by any parts within it. This phenomenon occurs in many forms, especially in bilateral animals, and may be exceptionally well studied in the case of supernumerary limbs in Insects and in supernumerary chelae in Crabs and Lobsters. It will be shewn that such extra parts generally, if not always, make up a Secondary system of Symmetry in themselves ; and the way in which such a Secondary system is related to the normal or Primary system of Symmetry of the body from which they spring, constitutes an instructive chapter in the study of Meristic Variation. More extensive repetitions of this class, when affecting the axial parts of the body, give rise to the well-known Double and Triple Monsters, which, as has often been said, reproduce in the higher animals phenomena which, under the name of fission, are commonly seen in the lower forms. The general evidence as to these abnormalities is so accessible and familiar that it need not be detailed here, and it will therefore be enough to give an outline of its chief features and to point out the bearing of this class of evidence on the subject 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, Perijxttus, some of the Chilopoda among Myriapods, Aphroditidae 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 Geophilidge), 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. Peripatus. The number of segments which have claw-bearing ambulatory legs differs in different species of this genus. While, 92 MERISTIC VARIATION. [part i. moreover, in some of the species the number appears to be very constant for the species, in the case of others, great individual variation is seen to occur. Sedgwick's observations in the case of P. edwardii shew conclusively that these variations cannot be ascribed to difference in age. There is besides no ground for sup- posing that increase in the number of legs occurs in any species after birth, and it is in fact practically certain that this is not the case. In Peripatus capensis, which was exhaustively studied by Sedgwick, the appendages arise in the embryo successively from before backwards, the most posterior being the last to appear, and the full number is reached when the embryo arrives at Sedgwick's Stage G. The following is taken from the list constructed by Sedgwick from all sources, including his own observations. As the 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. Sedgwick, A., Quart. Jour. Micr. Sci. xxviii., 1888, pp. 431 — 493. Plates. South African Species. P. capensis: 17 pairs of claw-bearing ambulatory legs (Table Mountain, S. Africa). P. balfouri: 18 pairs of legs, of which the last pair is rudiment- ary (Table Mountain, S. Africa). Sedgwick has examined more than 1000 specimens from the Cape, and has only seen one specimen with more than 18 pairs of legs. This individual had 20 pairs, the last pair being rudiment- ary. It closely resembled P. balfouri, but differed in the number of legs and in certain other details (q. v.); Sedgwick regarded this form provisionally as a variety of P. balfouri. P. mosleyi: 21 and 22 pairs of legs: near Williamstown, S. Africa. The specimens with 22 legs were two in number and were both females. They differed in certain other particulars from the form with 21 legs, but on the whole Sedgwick regards them as a variety of the same species. P. brevis (de Blainville): 14 pairs of legs. (This species not seen by Sedgwick.) Other species from S. Africa which have been less fully studied are stated to have 19, 21 and 22 pairs of legs respectively. In all South African forms, irrespective of the number of legs, the generative opening is subterminal and is placed behind the last pair of fully developed legs (between the 18th or rudimentary pair in P. balfouri). Sedgwick, pp. 440 and 451. Australasian Species. P. vovte-zealandia'. 1. 5 pairs of legs. New Zealand. P. leuckartii. 15 pair of legs. Queensland. In both of these species the generative opening is between the last pair of legs. (Sedgwick, p. 486.) 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 and 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 (juliformis?) 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 MERISTIC VARIATION. [part i. this number is 15; in Scolopendra it is 21; in Scolopendrops, 23; in Cryptops 21, &c. In Geophilidpe, however, the total number of moveable segments is much larger, ranging from about 35 to more than 200. Though not characteristic of genera, the number seems within limits to mark each particular species. It was found that male Geophili have fewer segments than the female. The males of Arthronomalus longicornis have 51 or 52 leg-bearing segments, while females usually have 53 or 54. Full- grown females of Geophilus terrestris have 83 or 84 pairs of legs and segments, and the males of the same species have 81 or 82. In a large Neapolitan species, Geophilus Icevigatus Bruhl. 1 the variation is rather greater. In eight males the number varied between 96 and 99 ; in eleven females, between 103 and 107. Of two female Geophilus sidcatus one individual had 136 and the other 140. Newport, G., Trans. Linn. Soc, xix. 1845, p. 427, &c. [In some of the Chilopoda1 an increase in the number of segments takes place after the larva hatches, but the variations mentioned above are recorded as occurring in fully formed specimens independently of changes due to age.] In the foregoing cases, a fact which is often met in the Study of Variation is well seen. It often happens that in particular genera or in particular species, a considerable range of Meristic Variation is found, while in closely allied forms there is little or none. Examples of this are seen in the variability of the Geophi- lidas as compared with the other Chilopoda, and in the neo-tropical species of Peripatus which vary in the number of legs, while P. balfouri, for instance, is very constant. It will be noticed that in both these cases, the absolute numbers of parts repeated are con- siderably higher in the variable than in the constant forms. But though such cases have given rise to general statements that series of organs containing a small number of members are, as such, less variable than series containing more members, these statements require considerable modification ; for it is not difficult to give instances both in plants and in animals, where series made up of a small number of members, shew great meristic variability. The bearings of these cases on the nature of Meristic Repetition and the conception of Homology will be considered hereafter. Here, however, it may be well to call attention to the fact that we have now before us cases in which various but characteristic num- bers of legs or segments differentiate allied species or genera ; that in assuming the truth of the Doctrine of Descent, we have ex- pressed our belief that in each case the species with diverse num- bers are descended from some common ancestor. In the evolution of these forms, therefore, the number has varied : this on the one hand. On the other hand, in Geophilus and in Peripatus, we see 1 According to Newport (Trans. Linn. Soc. xix. 1845, p. 268), all Myriapoda acquire a periodical addition of segments and legs, but according to later observers this is not true of all the Chilopoda. ^ 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, he 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. Carcinus msenas. 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 Bhizo- cephalous jmrasite Sacculina 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 mcenas, female, normal. B. Abdomen of male, normal. C. Abdomen of male infested by Sacculina. After Giaed and Bonnier. In male Carcinus mcenas 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, Platyonychus, 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 Sacculina is greater than that resulting from the presence of Entoniscians ; 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 l'etude des Bopyriens, Travaux de I'inst. zool. de Lille et du laboratoire zool. de Wimereux, 1887, torn. V. p. 184. 96 MERISTIC VARIATION. [part I. Branchipus and Artemia. As it has been alleged that variation may be pro- duced in the segmentation of the abdomen of these animals by changes in the waters in which they live, it is necessary here to give the facts on which this state- ment rests. The further question of the relation of Artemia salina to A. ?nil- hausenii is so closely connected with this subject, that though not strictly cognate, some account of the evidence on this point also must be given. Some years ago Schmankewitsch 1 published certain papers on variations of Artemia salina induced by changes in the salinity of the water in which the animals lived. The statements there made excited a great deal of interest and have often been repeated botb by scientific and popular writers. The facts have thus at times been somewbat misrepresented, and so much exaggeration has crept in, that before giving any further evidence it will be well to give Scbmankewitsch's own account. It is frequently asserted that Schmankewitsch observed the conversion of Branchijms into Artemia and of Artemia salina into A. milhausenii following upon the pro- gressive concentration of the waters of a salt lake. Strictly speaking however this is not what was stated by Schmankewitsch. His story is briefly this : That the salt lagoon, Kuyalnik, was divided by a dam into an upper and a lower part; tbe waters in the latter being saturated with salt, while the waters of the upper part were less salt. By a spring flood in the year 1871 the waters of the upper part of the lake swept over the dam and reduced the density of the lower waters to 8° Beaurne ( = about sp. g. 1-051), and in this water great numbers of A. salina then appeared, presumably having been washed in from the upper part of the lake, or from the neighbouring salt pools. After this tbe dam was made good, and the waters of the lower lake by evaporation became more and more concentrated, being in the summer of 1872 14° B (about sp. g. 1-103) ; in 1873, 18° B (about sp. g. 1-135) ; in August 1874, 23-5° B (about sp. g. 1-177) and later in that year the salt began to crystallize out. In 1871 the Artemice had caudal fins of good size, bearing 8 to 12, rarely 15, bristles, but with the progressive concentration of the water the generations of Artemia progressively degenerated, until at the end of the summer of 1874 a large part of them had no caudal fins, thus presenting the character of A. milhausenii Fischer and Milne Edw. The successive stages of the diminution of the tail-fins and of the numbers of the bristles are shewn in the figures, with which all are now familiar. A similar series was produced experimentally by gradual concentration of water, leading to the extreme form resembling A. milhausenii. It was found also that if the animals without caudal fins were kept in water which was gradually diluted, after some weeks a pair of conical prominences, each bearing a single bristle, ap- peared at the end of the abdomen. It is further stated that the branchial plates'- of the animals living in the more highly concentrated water were materially larger than those of animals living in water of a less concentration. Schmankewitsch next goes on to say that by artificially breeding Artemia salina in more and more diluted salt water he obtained a form having the characters of Schaffek's genus Branchipus, and that he considers this form as a new species of Branchipus. He explains this statement thus: In the normal Artemia, the last segment of the post-abdomen is about twice as long as each of the other segments, while the corresponding part in Brancliipus is divided into two segments. He states that in his opinion the condition of the last segment of the post-abdomen consti- tutes the essential difference between Artemia and Branchipus, and that such division of the last segment occurred in the third generation of the form produced by him from Artemia by progressive dilution of the water. A second distinction between the genera is found in the fact that Artemia is reproduced paitheno- genetically, while Branchipus is not known to be so reproduced. As to the condition of his new form in this respect, Schmankewitsch had no evidence. In a subsequent paper, Z. f. w. Z., 1877, further particulars are given, re- specting especially the natural varieties of A. salina. Of these he distinguishes two, var. a and var. h. The first of these is distinguished by its greater size (8 lines instead of 6 lines, the average for the type) and by the greater length of the post- abdomen. In the type the bristles on each caudal fin are generally 8 — 12, and in 1 Z. f. u\ Z., xxv., 1875, 2, p. 103 and xxix., 1877, p. 429 ; also in several Russian publications, to which references will be found /. c. 2 Upon this point a good deal of interesting evidence is given in Schmanke- witsch's papers, but as it does not bear immediately on the question of the specific differences, it has not been introduced here. chap. II.] SEGMENTS OF ARTHROPODA. 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 fin. The second antenna 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 antenna) of tbe 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 further 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 witli 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 Branchipus. First as to the relation of A. salina to A. milhausenii. The species milhausenii was made by G. Fischer de Waldheim1 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 jjairs 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 antenna) 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 Bathke2 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 0-74.53 Sodium Sulphate 2-4439 Magnesium Chloride 7-5500 Calcium Chloride 0-2760 Sodium Chloride 16-1200 in 100 of the water. 27-1352 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 spinosus (Milne Edwards), three of a species of Branchipus not clearly corresponding with any species of which a description is known to me, 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 inaj' 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 VARIATION. [part I. distinctive characters of A. salina. It is difficult to speak with confidence as to the species of an Artemia from the female alone, but by careful comparison I can find no point of structure which differentiates any of the remainder from the females found with males, and I therefore regard them as all of the same species, A. salina. The waters were of many kinds, some being large salt lakes, while others were small salt ponds or even pools. The specific gravities of these waters varied from 1-030 to 1-215, and judging from the results of the analysis of six samples, the composition of the waters is also very different. The specific gravities were measured in the field with a hydrometer reading to -005, and on comparing these readings with the de- terminations of the Sp. G. of the samples brought home it appears that they were approximately correct, and I think therefore that these rough readings are fairly trustworthy. As to the composition of the waters not analyzed, nothing can be said with much confidence. As the analyses shew, some of these lakes contain chiefly chlorides, others chiefly sulphates, and so on. In a few (e.g. xxix) there is a great quantity of sodium carbonate, so much that the water was strongly alkaline and felt soapy to the hands. This can generally be recognized on the spot in various ways. The first point raised by Sehmankewitsch's work is that of the caudal fins. Among my samples I have every stage between the large fins with some twenty bristles, down to the condition with no distinct fin or bristles. The following table gives the results as regards the number of bristles on the caudal fins, and this Bristles on single No. in Catalogue Sp. G. caudal fin. Eggbearing ? ? only Remarks XXIX. 1030 10 to 24 Analyzed. Strongly alkaline. ( U 4 ) 10 < or or > C10 with c. r. of fair size. On Cs c. r. very ( 15 3 \ 3 cases. >■ small or ahsent. (15 4 ) 29th is 1st sacral. 9 I or (16 or > 3 \ 9 cases. 9 15 3 15 cases, j C« usually with) 2gth . lgt gacral> 9 14 4 o cases. \ c. r. 21 cases. \ 9 14) ( C9 has either large c. r. or complete r. 1 27th or or > 1 5 cases. (This normal in B. tor- > is 1st 8 15 j quatus: once in B. cuculliqer.) ) sacral. (c. r., cervical rib. C6, C7, &c, sixth, seventh cervical vertebra, &c. *45. Cholcepus. C D L S Cd C. didactylus 7 23 3 8 4 Coll. Surg. 3435. 7 24 3 7 Oa'/brd. )) 7 23 4 5 CoM. Surg. 3427 (Catalogue). 7 23 3 7 6 Coll. Surg. 3424. sp. 6 24 3 6 5 Cambridge. sp. 6 23 3 9 3or4 Brit. Mus. 65. 3. 4. 5. sp. 6 22 4 8 5 Cfaiw. Co?/. Land. sp. 6 21 3 8 5? Brit. Mus. 1510 6. C. hqff'manni 6 22 5 8 5? Brit. Mus. 1510 c. 6 21 4 7 5 CoZZ. Surg. 3439. C. hqff'manni ? 63 23 2 7 4? Brit, il/us. 80. 5. 6. 84. SUMMARY OF 9 CASES: Welckeb4. c Z) + L C. didactylus C hqff'manni 7 7 6 6 65 27 26 27 26 25 1st sacral is the 35th. 1st sacral is the 34th. 1st sacral is the 34th. 1st sacral is the 33rd. 1st sacral is the 32nd. 2 cases. 2 cases. 1 case. 1 case. 3 cases. 1 Welckek, Zool. Anz. 1878, i. p. 294. 2 This includes the celebrated specimen (in natural ligaments) described by Rapp, Anat. Unters. d. Edent., Tubingen, ed. 1843, p. 18. 3 This specimen is labelled C. didactylus, but coming from Ecuador and having this formula is probably C. hoffmanni. (Compare Thomas, O., P. Z. S., 1880, p. 492.) In it C6 bears cervical rib articulating with shaft of the first thoracic rib. 4 Zool. Anz. 1878, i. p. 295. 5 In a specimen in Leipzig Museum, no. 459, the 6th cervical bears large ribs, of which the right nearly reaches the sternum, so that Welcker says that there are only 5 true cervical vertebrae. In another of these specimens there is a cervical rib on C6 measuring 19 mm. CHAP, in.] VERTEBRAE AND RIBS '. BRADYPODID^E. 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 sjDecimens) 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 occurrence 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 Cholcepus 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, iu 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 which may then be 122 MERISTIC VARIATION. [part i. called ribs, or some other equivocal character, but on the contrary it effects besides changes in the number of prae-sacral segments, that is to say, of large portions of the body, each with their proper supply of nerves, vessels and the like, producing material change in the mechanics and economy of the whole body : this moreover in wild animals, struggling for their own lives, depending for their existence on the perfection and fitness of their bodily organiz- ation. Carnivora. The following cases, though few, have an interest as exemplifying vertebral Variation in another Order. *46. Felis domestica. In all the skeletons of Felid^e that I have examined the formula is C 7, D 13, L 7, S 3. A specimen of the domestic Cat having C 7, D 14, L 7 is described by Struthers. The change of articular processes from dorsal to lumbar was completed between the 18th and 19th vertebra? but the posterior zygapophyses of the 17th, though of the dorsal type, have to some extent the characters of a transition-joint. As is stated below, the change in the domestic Cat normally occurs between the 17th and 18th. In this case therefore with increase in numbers of ribs the position of the articular change has varied. This case is described by Struthers, J. Anat. Phys., 1875, p. 64, Note, but the description there given differs in some respects from that stated above, which is taken from a letter kindly written by Professor Struthers in answer to my inquiries. There is here forward Homoeosis in the development of ribs on the 21st vertebra, in the alteration in position of the articular change, and in the fact that the 28th is not united to the sacrum. As seen in some other cases, therefore, with forward Homoeosis the number of pra? sacral vertebra? is increased ; but as usual owing to the equivocal nature of caudal vertebra? it is not possible to state that the total number of vertebra? is greater. Canis vulpes. Normally, C 7, D 13, L 7 ; articular change from dorsal to lumbar between 17th and 18th. 47. Specimen having C 7, D 14, L 6, in which further the articular change occurs partly between the 17th and 18th. and partly between the 18th and 19th. In Mus. Coll. Surg. Edin. Information as to this specimen was kindly sent me by Professor Struthers. 48. Jackal. Specimen having C 7, D 13, L 8 instead of 7. Articular change as usual between 17th and 18th. Struthers in lift. 49. Canis familiaris. Case of cervical rib on left side borne by 7th cervical. This rib was 1^ in. long and articulated with a tubercular elevation on the 1st thoracic rib of the same side. The remaining ribs and vertebra? were normal, [fully described] Gruber, W., Arch. f. Anat. Phys., u. wiss. Med., 1867, p. 42, Plate. [In connexion with the foregoing observations it may be mentioned that the articular change does not take place in the same place in all Felida?. In 4 specimens of F. leo, 2 of F. tigris and 2 of F. pardus, in Edinburgh, and in one Lion and one Tiger in Cambridge the lumbar type begins between the 18th and 19th as in Struther's abnormal Cat chap, in.] vertebrae: reptilta. 123 above described ; but in 4 F. domestica, and 2 F. catus in Edinburgh, I F. domestica, 1 F. catus, 1 F. concolor and 1 Cynozlurus jiibattis in Cambridge the change is between the 17th and 18th. For informa- tion as to the Edinburgh specimens, I am indebted to Professor Struthers.] 50. Galictis vittata. Specimen from Parana had 16 pairs of ribs, I I true and 5 false ; 5 lumbar, 2 sacral and 2 1 caudal vertebra?. A specimen from Brazil had only 15 pairs of ribs and the same number of lumbar and sacral vertebrae. Burmeister, Reise durch d. La Plata-Staaten, Halle, 1861, n. p. 409. [This is therefore another case of forward Homoeosis, (as manifested in the presence of an additional pair of ribs) associated with an increase in the number of presacral vertebra?.] 51. Halichcerus grypus. Phocida? generally have C 7, D 15, L 5. Specimen of //. grypus having C 7, D 15, L 6 at Berlin. The an- terior of the six lumbars bears a rudimentary rib about 5 cm. in length on the left side. The 28th vertebra is here detached from the sacrum giving S 3, but generally it is united to it, giving S 4. Nehring, A., Sitzb. naturf. Fr. Berlin, 1883, pp. 121 and 122. There is here therefore a forward Homoeosis in the development of a rib on the 23rd, and also in the detachment of the 28th from the sacrum. Reptilia. 52, Mr Boulenger kindly informs me that though the number of ventral shields (which is the same as that of the vertebra?) is as a rule very variable in the several species of Snakes as a whole, there is nevertheless great difference in the degree of variability. A case of maximum variation is that of Polyodontophis SUbpunctatus, in which the number of ventral shields has been observed to vary from 151 to 240 (Boulenger , Fauna of Brit. India; Reptilia etc. 181)0, p. 303). 53. On the other hand the range of variation in Tropidonotus natrix is unusually small. Among 141 specimens examined the number of ventral shields varied from 162 to 190 (Strauch, Mem. Ac. Sci. Pet., 1873, xxi., No. 4, pp. 142 and 144). *54. Gavialis gangeticus. In this animal there are normally present 24 presacral vertebra? and 2 sacrals, the first caudal being the 27th. This vertebra has a peculiar form, being biconvex. Specimen de- scribed having 25 pnesacrals, 2 sacrals, the 28th being the first caudal. Baur, G., J. of Morph., iv., 1891, p. 334. In this case Baur argues that since the first caudal is clearly recognizable by its peculiar shape, this vertebra must be " homologous " in the two specimens and he considers that a vertebra must have been " intercalated " at some point anterior to the first caudal by a process similar to that seen in Python (see No. 7). In his judgment this has occurred between the 9th and 10th vertebra?, but no reason for this view is given. On the system here adopted, this would be spoken of as a case of forward Homoeosis. 55. Heloderma. The first caudal in the normal form may be dis- tinguished by having a perforation in the small rib connected with 124 MERIST1C VARIATION. [part i. it. In this it is peculiar. Four specimens shewed the following arrangements : — H. horridum No. 1. First caudal is the 36th vertebra (Troschel). ditto No. 2 37th (Baur). H. susjyectum No. 1 38th (Shufeldt). ditto No. 2 39th (Baur). Baur, G., J. of Moiyh. iv. 1891, p. 335. tF t~\ 56. Batrachia.1 Rana temporaria. In the normal frog there are nine separate vertebrae in addition to the nrostyle. A specimen is described by Bourne having 10 free vertebrae (Fig. 11, III.). The axis and third vertebra bore tubercles upon the transverse pro- cesses, perhaps representing a partial bifurcation of the kind described in No. 58. The ninth vertebra was abnormal in having zygapophyses, and in that its centrum presented two concavities Figure 11. Vertebral columns of Frog (Rana temporaria), after Bourne. I. Specimen having transverse processes borne by the atlas, together with other abnormalities described in text No. 58. II. Normal Vertebral Column. III. Specimen having ten free vertebras, described in text, No. 56. 1 I regret that the paper bearing on this subject lately published by Adolphi, Morph. Jalirb., 1892, xix. p. 313, appeared too late to permit me to incorporate the valuable facts it contains. chap, in.] vertebra: 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 " vertebrae, and as he also remarks, it is interesting in this connexion to notice that some Anura, e.g. Discoglossus, 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 vertebrae 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 126 MERISTIC VARIATION. [part i. of several cases already given, it is not impossible that if the variation seen in this frog had gone further, the 10th vertebra might alone support the ilium (cp. Nos. 57 and 60) and thus present the characters of the normal 9th in their completeness. If this change had taken place, we should have a case like that of Gavialis, and there would be nothing to shew that the new 10th vertebra was not the 9th of the normal. The truth then seems to be 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, the attempt to trace individual homologies must necessarily fail ; for while such determination must be based either on ordinal position 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. *57. A male specimen of B. temporaria <£ with ten free vertebrae is described by Howes. In this case the 9th had a posterior zygapophysis on the left side only. Upon the left side the transverse process of the 9th was not larger than that of the 8th and did not support the ilium, which on the left side was entirely borne by the large transverse process of the 10th. On the right side the transverse processes of both 9th and 10th were developed to support the ilium, neither being in itself so large as that of the 10th on the left side. The 9th was concave in front instead of convex as usual, and thus the 8th which is normally biconcave is convex behind. The posterior faces of both 9th and 10th bore two convexities such as are normal to the 9th. The urostyle was normal, having well-developed apertures for exit of the last pair of spinal nerves. Howes, G. B., Anat. Anz., I. 1886, p. 277, figures. In this case the departure from the normal, exemplified by No. 56, has gone still further, and the new 10th vertebra bears the ilium wholly on the left side and in part on the right. The con- dition is thus again intermediate between the normal and a com- plete transformation of the 9th into a trunk vertebra and the introduction of a 10th to bear the ilium (as in No. 60). As regards the homologies of the vertebra?, the same issues are atjain raised which were indicated in regard to No. 56. 58, Rana temporaria : Case in which transverse processes were present in the atlas vertebra and the transverse processes of several of the vertebrae were abnormal (Fig. 11, I.). The atlas possessed well- developed transverse processes. In the axis the transverse processes are directed forwards instead of backwards, and that of the left side presents an indication of bifur- cation at its extremity. The third vertebra possessed two pairs of 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 vertebra*, though slightly asymmetrical, present no special peculiarity, except that the neural arch of the ninth vertebra is feebly developed. Bourne, A. G., Quart. J our a. Micr. Sci., 1884, xxiv., p. 86, Plate. There is here backward Homceosis 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 vertebrse in Python (No. 7) and the cases of bifid 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 vertebra? (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, PL XIX., fig. 346. f60. 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. Gene, J., Mem. Reale Ac. di Torino, S. 2, i., PI. 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. Sci. Torino, 1880, xv.,fiy. 3. 62. Specimen in which the left transverse process of the 9th bears the pelvic girdle on the left side, and the riyht 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., m., p. 49, 1879 [not seen, W.B.] ; ibid. fig. 4. 63. 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, fig. 3. [Case of hypertrophy of coccyx, ibid. Jig. 6 ; ad hoc v. Bedriaga, Zool. Ariz., 1879, n., 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 vertebras and ribs. Adolphi, /. 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 vertebrae were united and their total length was reduced. 128 MERISTIC VARIATION. [part i. 4. The frequency of substantial if imperfect bilateral sym- metry in the variations, but the occasional occurrence of asymmetry also. 5. The special variability of some types, e.g. Simia satyrus ; the Bradypodida? ; Bombinator igneus. 6. The evidence that this variability may occur without the influence of civilization or domestication. II. As regards principle. 1. The occasional, though not universal, association of for- ward Homceosis with increase in number and of back- ward Homoeosis with reduction in number. 2. The frequent correlation between Variation in several regions, such correlated Variation being sometimes unilateral. 3. The impossibility of applying a scheme of Homology between individual segments. CHAPTER IV. Linear Series — continued. Spinal Nerves. The spinal nerves compose a Meristic Series in many respects similar to that of the vertebra?. 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 vertebra; 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 Furbringer, 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 Fiirbringer'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. 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From this table the following statement is compiled, shewing the most important diversities met with and the instances of individual Va- riation. In the majority of cases the most posterior spinal nerve of the cervical region was the most posterior nerve of the brachial plexus, but in a certain number of cases it does not join the plexus at all ; in some other cases the anterior spinal nerve of the dorsal region also takes part in forming the plexus. As the table shews, each of these plans has been likewise met with as an individual variation. Furbringer's table shews 3 as the minimum number of spinal nerves found taking part in the formation of the plexus of any bird (Bucorvus abyssinicus) : the same nmnber has been found as a minimum by other observers in other birds (v. Furbrixger, p. 242, note). The maximum number was 6, found in Charadrius and some specimens of Columba. The plexus is generally formed by 4 or 5 spinal nerves. In cases where several individuals were examined, individual variation was generally found, as in Anser, Podarfjvs, Picas, Geci- nus and Garrulus ; in these cases the number of spinal nerves which took part in forming the brachial plexus varied between 4 and 5, while in Columba, the number even varied between 4 and 6. Variations also occurred in this respect between the two sides of the body. For example, in a specimen of Anser cinereus the plexus was formed on the right side by the nerves XVI, XVII, XVIII and XIX. while on the left side it received a strand from the XXth nerve in addition to these. As has been stated, the last cervical nerve is generally the last nerve supplying the brachial plexus but deviations from this plan occur in both directions. These deviations may occur as individual variations and they may even be unilateral, owing to the transition between the cervical and dorsal vertebra? being effected at different points on the two sides of the body. Particulars are given respecting the average proportions of the several roots in the different arrangements, but the arrangement or size of the roots relatively to each other wTas not found to bear any constant relation either to the systematic position of the bird, or to its size, or to its capacity for flight. It was however generally found that there was a certain relation between the relative size of the roots and the length of the neck in birds with a plexus com- posed of four roots. In this case the greatest thickness was gener- ally either in or anterior to the middle roots of the plexus in short- necked birds, but posterior to the middle of the plexus in long- necked birds, but even this rule was not at all closely observed and many exceptions occurred. Furbrixger, I. c, p. 243. In Variation in the ordinal positions of the spinal nerves com- posing the plexus, the 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 Furbiunger 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 Furbrin- 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 vertebra?, so that these became "transitional" in character, leaving the 20th vertebra as the first vertebra bearing XV XV7 XWCrXWCrXK St' XX XVI XVfl XM Cr XIX Fig. 14. Diagrams of the cervical ribs and brachial plexus in two Jays (Garrulus glandarius) after Furbringer. I. Case in which the brachial plexus began from the xith nerve, the cervical ribs of 13th and 14th vertebras being longer than in II, a case in which the xnth 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 : Ribs of 13th vert., length in mm. Ribs of 14th vert., length in mm. Ribs of 15th vert. (with sterno-costal parts), length in mm. T \ rt. 5 7 3-5 3-5 18-5 20-5 1725 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 ground. Furbringer, I. c. p. 387. Brachial Plexus. »8. 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 MERISTIC VARIATION. [part i. in illustration, concerning the composition of the median and ulnar nerves respectively. The median is formed by two heads from the plexus ; into the outer head the Vlth and Vllth spinals enter, while the inner is formed by branches of the Vlllth and IXth, sometimes with the addition of some bundles of the Vllth. The presence of fibres from the Vllth depends on whether the anterior branch of the Vllth bifurcates, or goes wholly to the anterior (outer) cord of the plexus. In order to see whether both Vlllth and IXth contribute to the median, twenty-eight dissections were made, fourteen in infants, fourteen in adults. In one foetus and in one adult no branch from the IXth was found, these being the only exceptions to the rule that both Vlllth and IXth send fibres to the median nerve. The median is then made of the Vlth, Vllth, Vlllth and IXth, but these roots do not send to it a constant proportion. The bundle from the Vlth varies little, that from the Vllth varies considerably, that from the Vlllth is sometimes equal to, some- times smaller, and sometimes larger than the bundle from the IXth. The origin of the ulnar nerve was traced in thirty-two cases, fourteen being adults. It was found to arise in four different ways. Most commonly it arose from the Vlllth and IXth : this occurred in twenty-three cases. With the Vlllth and IXth is sometimes combined a strand from the Vllth, as shewn in five cases (four foetal, one adult). In three foetal cases it arose from the Vlllth only, and in one foetal and one adult case from the Vllth and Vlllth. The Vllth is only added to the ulnar in some of those cases in which it gives a branch to the posterior (inner) cord of the plexus. In several cases the branch from the Vlllth was much larger than that from the IXth, but the reverse was never met with. Evidence similar to the above is given respecting other nerves from the brachial plexus. From the results of the investigation generally, it appeared that the range of Variation though considerable was not extravagant, and that when parts, usually supplied by some given nerve root, are supplied by some other root, this other root is then either the one anterior or the one posterior to the root from which the supply normally comes. Some muscles seemed to bear definite relations to each other and their nerve supply seemed also " to vary solidly," their nerve supplies remaining the same relatively to each other, though derived from a different root. " The best example of this is in the three muscles which are attached along the inner side of the bicipital groove, the subscapularis, teres major, and latissimus dorsi. The first is usually supplied by the Vth and Vlth, the second by the Vlth, and the last by the Vllth, and however much they may vary above and below their typical place, they do not change their relations to each other. A similar relation exists between the two supinators and the two radial extensors. These chap, iv.] SPINAL NERVES I 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 Vlllth 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 vertebrae was pointed out on p. 107. It was stated that in such Homoeotic variation no gaps are left. If a vertebra assumes a cervical cha- racter, it is the 1st dorsal, and so on. *69, 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 Hnd 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 VIHth 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, VIHth and IXth, instead of by the Vlth, Vllth and VIHth (and sometimes even Vth) ; the deep branch in the hand received from both VIHth 138 MERISTIC VARIATION. [part i. and IXth (instead of Vlllth alone, as seen in five cases out of six). But though in all these respects the nerve-supply of the plexus was in ordinal position posterior to the normal, nevertheless the IVth sent a communication to the Vth (as it does normally) and the suprascapular and subscapular were given off normally. Here, then, the supply 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 the Xth was slightly bigger than usual, but otherwise the only abnormality noted was that the IXth sent a branch to the musculo-spiral. Herringham, W. P., Proc. Roy. Soc, 1886, xli. p. 435. In view of Furbringer's evidence (see Nos. 65 and 67), it might be expected that the first rib would be reduced in corre- lation with the irregular forward Homceosis of the nerves. In reply however to a question on the subject, Dr Herringham has kindly informed me that no abnormality in the ribs was seen, but that this point was not specially considered. Compare also Lane's case, No. 24,' in which similarly a large branch from the Xth joined the plexus on the right side and the first rib was rudimentary, both structures thus shewing a correla- ted forward Homceosis. Lumbosacral Plexus. *70. By physiological methods Sherrington found that the supply to the lumbo-sacral plexus varied considerably with regard to its origin from the spinal nerves. This was seen in Macacus, in the Cat and in the Frog. In none of these animals was any one ar- rangement found sufficiently often to justify its selection as a "nor- mal " type. In each case it was found convenient to divide the different forms of arrangement into two classes, the one in which the supply to the plexus was in ordinal position more anterior (" pre-axial," Sherrington), the other being more posterior (" post- axial," Sherrington). Particulars respecting the distribution of the several nerves and the movements resulting from their stimulation in the two classes, are given in detail (q. v.). In Macacus, 31 in- dividuals belonged to the more anterior class, and 21 to the more posterior. In the Cat the number of individuals in the two classes was 22 and 39 respectively. It is stated generally that " The distribution of the peripheral nerve-trunks is not obviously different, whether, by its root-formation the plexus belong to the pre-axial class, or to the post-axial. The peripheral nerve-trunks are, as regards their muscles, relatively stable in comparison with the spinal roots. When the innervation of the limb-muscles is of the pre-axial class, so also is that of the anus, vagina and bladder ; and conversely." Sherrington, C. 8., Proc. Roy. Soc, 1892, Li. pp. 70 — 76. 71. Primates. Since in examining the facts of Variation we are seeking for evidence as to the modes in which specific differences chap, iv.] SPINAL NERVES : APES. 139 originate, allusion may therefore be made to some facts of normal structure in differing forms in illustration of the nature of such differences, and for comparison with the differences which are seen to occur by Variation. The arrangement of the lumbo-sacral plexus in the Primates well exemplifies some of these points. In Man, Chimpanzee and Gorilla the 1st sacral vertebra is the 25th ; in the Orang it is the 26th ; in the Baboons, e.g. Macacus inuus (= Inuus pithecus Is. Geoff, the Barbary Ape) it is the 27th. Now, as Rosenberg says, seeing that in Man the sacral plexus receives one whole prse-sacral root, the XXVth, and part of the XXIVth, it might be supposed that this plexus in the Orang would receive two whole prse-sacral roots and part of a third, or that in Macacus it would receive three prse-sacral roots and part of a fourth. But, as a matter of fact, in each of these forms, Chimpanzee, Orang and Macacus, according to Rosenberg, only one whole prse-sacral root and part of the next above it enter the sacral plexus, just as in Man, though the ordinal positions of the nerve-roots are different. The Chimpanzee, however, which Rosenberg examined, was the specimen described (No. 34), having the 25th as a trans- itional lumbo-sacral vertebra, and rudimentary ribs on the 21st. In this specimen the prse-sacral nerves received by the sacral plexus were the XXVIth and part of the XXVth, thus bearing the same ordinal relations to the sacrum that the nerves of the lumbo-sacral cord do in the other forms and in Man, though each is ordinally one lower in the whole series than it is in Man. The same was true of the spinal roots composing the obturator and crural. Rosenberg, E., Morph. Jahrb., I. 1876, pp. 148, 149 and Tables, note 19. This case is interesting as an example of forward Homceosis in the vertebrae associated with forward Homceosis in the sacral plexus. When compared with the following case of a Chimpanzee1 having normal lumbo-sacral vertebrae, several discrepancies will be seen beyond those which can be accounted for by the single change of one in the ordinal position of the roots. No doubt for the larger nerves Rosenberg's account is correct, but as he states that the specimen was so badly preserved that the nerves could not be satisfactorily traced, it is possible that some of the branches may have been missed. However this may be, the specimen dissected by Champneys had important features of difference, notably that the sacral plexus received from the XXIInd spinal, while the highest recorded as entering it in Rosenbergs case was the XXVth, a greater difference than can be accounted for on the simple hypothesis of a change of one place throughout. Though, speaking generally, Rosenberg is right in saying that the evidence of the normal condition in Macacus and Orang as compared with each other and with Man 1 Champneys, F., Journ. Anat. Phys., Ser. 2, v. 1872, p. 176. 140 MERISTIC VARIATION. [part i. suggests that the variation of the vertebral regions goes hand in hand with that of the plexus, and though a comparison be- tween Rosenberg's abnormal Chimpanzee with that dissected by Champneys largely bears out this suggestion, yet it is also clear that this correlation is not a precise one, as indeed has already appeared in several instances. In giving the compositions of the several nerves of the lumbo- sacral plexus in Man and Chimpanzee, I have given the num- bers of the nerves in the whole series for simplicity of comparison. It will be remembered that a Chimpanzee has one pair of ribs more than Man, the XXIst nerve is the 1st lumbar in Man, but is the 18th dorsal in Chimpanzee, the XXVIth nerve being the 1st sacral in both forms. The table given shews, as Champneys sa}pus, on the chap, iv.] 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 vertebras it will not be forgotten that partial changes occur too, but there is still greater Discontinuity in their case than in that of the neryes. \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 nth 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 fibresj> 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. 10 if U& CHAPTER V. LINEAR SERIES — continued. Homceotic Variation in Arthropoda. The occurrence of Homoeosis among the appendages of Ar- thropoda is illustrated by a small but compact body of evidence. To this evidence special value may be attached, not because it is likely that in the evolution of the Arthropods variations have really taken place, in magnitude comparable with those now to be described, but rather because these cases give a forcible illus- tration of possibilities that underlie the common and familiar phenomena of Meristic Repetition. Of these possibilities they are indeed " Instances Prerogative," salient and memorable ex- amples, enuntiating 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 animals, hold a place in the study of Variation comparable perhaps with that which the phenomena of the prism held in the study of the nature of Light l. They furnish a test, an elenchus, which any hypothesis professing to deal with the nature of organic Repetition and Meristic Division must needs endure. Insecta. *75. Cimbex axillaris (a Saw-fly), 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 foot, having a pair of normal claws and the plantula between them (Fig. 16). This foot is rather smaller than a normal foot, but is perfectly formed. The rest of the antenna, so far as the point at which the club should begin is normal in form, but is a little smaller and thinner than the same parts in the right antenna. Kraatz, G., Dent. ent. Ztschr., 1876, xx., p. 377, PI. 1 See the well-known passage in Nov. Org., n. 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. Ilt 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. * ). 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 I 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 I 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. Nadir., 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 Fig. 17. Zygoma filipenduUe, X X X X X X X X X X 104. Allolobophora sp. [) 8 14, 15 18 J) 9 7,8, 9 14 17 11 10 8, 9, 10, 11 15, 16 19 15-18 11 11 6, 7,8 13, 14 16 11 12 (2 specs.) 8, 9, rt. ; 9, 10, 1. 14 18 1) 13 8, 9, rt.; 9, 10, 1. 14, 15 18 M 14 (1 spec.) 8, 9 15, 17 21 )1 15 ,, 15, 16 18 Though the position of both varied greatly, the male j)ores were always posterior to the female ones. In some specimens certain of the segments were only divided from each other on one side of the body, being confluent on the other. For example in Var. No. 14, segments 11 and 12 and also segments 18 and 19 were only divided from each other on the left side (cp. Nos. 88—91). Out of 430 individuals 15 variations in these structures were seen ; of 12 of these variations single specimens only were found, but two specimens occurred with each of the other three forms of variation. In a single case a nephridium was found nearer to the dorsal line in one segment than in the adjacent segment. Many of the conditions here occurring as variations are found normally 11—2 164 MERISTIC VARIATION. [part I. in other genera and species. 1886, p. 308, figs. Beddard, F. E., Proc. Zool. Soc, Fig. 25. Perloni/x excavatus. Diagrams shewing some of the variations in respect of the number and positions of the openings of the spermatheca? and generative pores. From Beddard, P. Z. S., 1886. Perionyx griinewaldi, Michaelsen. Normally a pair of male genital pores on the 18th segment, and a single oviducal opening for the two oviducts in the middle line of the 14th segment. 107. In two specimens a different arrangement was found. One of these had the oviducal opening in the 15th segment [position of male openings not specified and presumably normal]. 108. The other had two oviducal openings, one in the 13th and one in the 14th segment [not stated whether these openings were median or lateral, nor whether each of them was a double structure as of course the normal female opening is]. In this specimen the male openings also were placed anteriorly to their normal position, being in the 17th segment. Michaelsen, Jahrb. d. Hamburg, wiss. Anstalt, 1891, vin., p. 34. Allurus. In Terricolre generally, the £ pores are on the 15th, and the ^ pores on the 14th, as in the common Earthworm. 109. Allurus tetraedrus, a widely distributed form, has £ pores on the 13th and $ pores on the 14th, the ^ pores being thus in front of the $ pores as a specific character. Under the name Allurus dubius Michaelsen described two specimens having the male pores on the 14th instead of on the 13th, and the ^ pores on the 15th instead of on the 14th, each being thus one segment in advance of its normal place [backward Homceosis]. Michaelsen, W., Jahrb. Hamb. wiss. Anst., 1890, vii., p. 7; see also Arch. f. Naturg., 1892, lviiiJ p. 251. Compare No. 111. 110. Besides these is a batch of 8 specimens of A. tetraedrus, loc. un- known, 6 specimens had both £ and $ pores in the 14th. Clitellum began in 23rd, tuberc. pubert. in 24th. These specimens ai'e thus intermediate between A. hercynius, which has the pores as in Lum- CHAP. VI.] HIRUDINEA. 165 bricus, and A. tetraedrus. LYIIL, p. 251. Michaelsen, W., Arch. f. Xaturg., 1892, 11. Allurus putris : specimen having £ pores on 13th (instead of 1 5th) 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 11th. Tuberc. pubert 26 — 28. Michaelsen, Jahrb. Hamburg, wiss. Anst., 1891, vm., p. 8. Compare No. 109. 12. Allurus sp. : specimen having 1. side normal; right side, £ pore in 12th, % in 11th, clitellus and tuberc. pubert. one segment higher than usual. Ibid. 13. Enchytrceid.e. £ pore generally in the 12th segment. In Buchholzia appendiculata (Buch.) it is on the 8th, as a specific character. In Pachydrilus sphagnetorum (Vejd.) it is either on the 8th or on the 9th, according to individual variation, the other parts being then disposed as follows : 3 pore on 8th 2, supernumerary penis ; vs, the usual vesicula? seminales ; vs-, supernumerary vesicula seminalis. (From a diagram sent to me by Mr Gibson.) The normal penis in the sixth segment was fully formed and into it opened on either side a vas deferens, provided with a vesicula seminalis as usual. But the vesicula of the right side gave off in addition a vas deferens, which passed forwards into the fourth segment and there enlarged into another vesicula seminalis. This additional vesicula was connected by a duct with a supernumerary penis placed and opening in the middle of the fifth segment. 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. 26) supplementing the published account.] Gibson, R. J. Harvey, Nature, 1887, xxxv., p. 392. Aulastoma gulo (Horse Leech). In this form as is usual among the Gnathobdellidce there are from 9 to 12 pairs of tes- chap, vi.] annelids: recapitulation. 167 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. f121. 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, lav in the 30th annulus. Asper, G., Zool. Am., 1878, I., p. 297. Recapitulation of evidence as to Oligoch.eta 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 spliagnetorum, shewing great variability, while others, the common Earthworm for instance, rarely vary. 2. Both forward and backward Homceosis may occur ; a form normally having the ,-f pores, for instance, on the 15th segment, may as an individual variation have them on the 16th (No. 105), while an individual of another genus, starting from the same normal, may have them on the 13th (No. 111). 3. As in other cases of Homoeosis, when a member of a Meristic Series, in this case a segment, develops an organ proper to another segment, this organ is formed in a place serially homologous with its normal place. (To this principle certain limitations must hereafter be introduced.) 4. Variation may, or may not, be simultaneous and cor- related in the several systems. The position of the $ openings, for example, may or may not vary similarly and simultaneously with that of the isea.se, pp. 84 and 85. 7 Goubaux, Rec. de Med. Veter., Ser. 3, ix. p. 335. 8 Figured by Sutton, I.e., p. 87. 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 Puech2, Leichtenstern3, and Williams4, 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 " Ma miliary lines." It is with reference to supernumerary mammae occurring on these lines that the subject of mammary variations is chiefiy important to the study of Meristic Variation. In addition to these, however, there are a few well authenticated examples of mammae 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 mammas or nipples and other such changes do not come within the scope of this volume, but belong rather to the province of Substantive Variation. 2 Puech, Les llamelles et leurs anomalies, Paris, 1870. 3 Leichtenstern, Virch. Arch. f. path. Anat. u. Phys., 1878, lxxiii. p. 222. This collection was apparently made independently from that of Puech. * Williams, W. Rooer, Jour. Anat. Phys., 1891, xxv. p. 225. 5 Bruce, J. Mitchell, Jour. Anat. Phys., 1879, xm. p. 425. 182 MERIST1C VARIATION. [part i. In the great majority of cases (over 90 per cent., Leichten- stern l) of mammae placed on the mammary lines, the supernumer- ary structures are below the normal ones, being then as a rule in- ternal to them, while those found above the normal mamma? are less common and are external to the normal mammas. The di- stance separating the normal from the supernumerary mamma? differs greatly in different cases, and most conditions have been seen 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 no case in which a supernumerary mamma is so large as the nor- mal mamma of the same individual. The degree to which supernumerary structures of this nature are developed is very various. The}7 may be fully formed mammae with nipples, in the female capable of function ; while in other cases, on the contrary, they may either consist of nipples only, having no distinguished glandular tissue of mammary character in connexion with them, or they may be tumours of mammary cha- racter without nipples or even definite ducts. Between these several conditions there is no sharp distinction. It appears there- fire that there are two rudimentary or imperfect conditions possi- ble : either supernumerary nipples without recognizable mammary glands, shading off into small warty elevations of uncertain charac- ter, and on the other hand redundant portions of mammary gland without nipples. The latter may be partially connected with the normal mamma? or quite separate from them. All these states of imperfection are much more common than the complete super- numerary mamma?. Fully formed supernumerary mamma? have been found above the normal mamma? and also below them, the latter being the more frequent position. For those found on the mammary lines the axilla is the highest position and the upper part of the abdo- minal wall the lowest. Of the rudimentary forms, the mammary tumours without nipples occur usually if not always above and ex- ternal to the normal mamma?, being generally in or near the axilla. The supernumerary nipples however are in the great majority of cases below and internal to the normal ones. Small supernumerary nipples are quite common in Man, but the statistics of different observers give various results. Bruce found in 2,311 females 14 cases ("605 per cent.), and in 1645 males 47 cases (2857 per cent.). These persons were patients at the Brompton Hospital for Consumption and were not specially ex- amined with a view to this inquiry. Among 315 such persons examined for the purposes of these statistics, 24 cases were seen . (7'6 per cent.), 19 being male and 5 female. In 8 cases two extra nipples were present, and one doubtful case of three extra nipples 1 Not including mammary tumours without nipples in the axilla1. CHAP. VIII.] MAMMAE. 183 was seen. Bruce regards 7"6 as for various reasons rather too high a proportion. In a recent paper Bardelebex however states that 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 more frequent on the left side than on the right (Bruce, Leichten- 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 means always at the same level on the two sides. Cases of the presence of supernumerary mammae 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 Fig. 29. Diagram of a case of four pairs of supernumerary nipples in human female. The normal breasts raised to shew the lowest pair. (After Neugebaueh.) 1 JSeugebauer, F. L., Centralb. f. Gynak., 1886. p. 729. 184 MERISTIC VARIATION. [part i. one on each side below them. The latter were concealed by the pendent breasts. When the child was being suckled milk oozed from each of the uppermost or axillary nipples, but from the remaining six supernumerary nipples milk could only be extracted by pressure. The flowing of milk from supernumerary nipples when the child is at the normal breasts, has often been observed. A few references to cases exhibiting the several features above mentioned may be of use. 149. Bifid nipple, the same on each breast [plane of division not specified]. Duval, Da Mamelon et de son aureole, Paris 1861, p. 90. 150. Two nipples on the same areola, bilaterally symmetrical. The two nipples stood in the mammary line defined above. TiEDEMANN, Ztsch.f. Physiol., v., 1833, p. 110, Taf. I. fig. 3. 151. Cases are given by Charcot and le Gendre, Gaz. med. de Paris, 1859, p. 773, in which an extra nipple was placed external to the normal one ou the same breast. In one of these the extra nipple had no areola. Leichtenstern (p. 253) in quoting these cases, speaks of them as instances of supernumerary nipples on the same level as the normal ones, but this is not expressly stated in the original account, which does not, as I think, exclude the possibility that the supernumerary nipples were above and external to the normal ones. Two functional nipples with separate areola? on the left breast, which nevertheless was not larger than that of the right side, ibid. The same authors mention another case in which such a second nipple had no areola ; the mother of patient stated to have been the same. See also Sinety, Gaz. med, de Paris, 1887, p. 317 (full description and measurements). In this case the supernumerary nipple was placed below the normal one. 152. A case in which three nipples were placed on each breast is given by Paullinus, Miscell. Curios., &c, 1687, Decur. ii. Ann. v. Append, p. 40. The case is given on the authority of Prackel and the three nipples are said to have been arranged in an equi- lateral triangle, the normal being above at the apex, and the two others at the same level below. The description and the figure accompanying it do not however justify complete confidence in this observation, and indeed the contributions of Paullinus to the Miscellanea Guriosa contain so much of the marvellous that they should not be accepted without hesitation. The same may be said of the case of five nipples each having an areola quoted by Percy and Laurent, Diet. Sci. med., xxxiv. p. 517, .03. 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 m3 in either jaw, giving g 3 9 2 the formula p = — 0 , m^. — -, as in Hapalidse. There is no space in the jaw behind m'2, and in the upper jaw the bone ends there almost abruptly. '04. A. melanochir : Caraccas specimen, having no posterior m3 on either side in upper jaw. The lower series normal, but the jaws are somewhat asymmetrical, so that the lower posterior right m3 is behind the level of its fellow of the other side. B. M., 48. 10. 26. 3. !05. A. variegatus : wild specimen, having lower m3 absent on both sides. Left P is also absent, but has been almost certainly present. CM., 1098, B. Mycetes : of various species, adult normals, 81. Supernumerary molar. !06. M. niger : supernumerary molar in the right upper jaw. The arrangement is peculiar. So far as in- 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 vi2 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. 208 MERISTIC VARIATION. [part I. instead of being posterior to it as usual. Outside this tooth is another, standing out of the arcade, having the size and almost the form of normal m\ B. M., 749, c. (Fig. 39). This case may be an example of one of two principles which will be in the next chapter pointed out as operating in the case Fig. 39. Mycetes niger, No. 206; right upper molars. Brit. Mus., 749, c. of dental Variation. Either wis may have divided into two, both standing in series, and the normal rn? may have been pushed out of the arcade in connexion with this reduplication ; or the tooth standing outside may represent an addition to the normal series, and in that case the tooth standing as m3 in the series may be a representation of ms, raised to the normally higher condition of m- in correlation with the presence of an extra tooth in the series, in the way shewn to occur in other cases (see Chapter x., Section 7). Between these alternative possibilities I cannot decide. Supernumerary premolar. 207. Mycetes niger : between and internal to p}_ and l^ on left side there is a premolar. This is probably a supernumerary one, but the jaw is so much diseased that the relations are not distinct. B. M., 749, d. 208. Callithrix, normal adults, 22. (In B.M., 51, b on both sides m? is separated by a narrow diastema from w*, The appearances suggest that possibly a small rudimentary tooth may have stood between them, but this is quite uncertain). Nyctipithecus : 1 1 normals. 209. Pithecia : 11 normals. Specimen having no right w^, and apparently this tooth was not about to be formed, for the dentition is otherwise complete. C. M., 1094, a. (Cp. No. 202.) Lagothrix, 6, Chiropotes, 1, Ouakaria, 3 normals respectively. Hapalid^:. In this group m3 is normally absent : and no specimen having this tooth or any other dental abnormality was seen. Of adult normal skulls 33 were seen, belonging to various species. CHAP, ix.] TEETH : CANIDSE. 209 CARNIVORA. Canidse. The evidence of the Variation of teeth in Canidse is divided into three groups according as it concerns (1) incisors, (2) pre- molars, (3) molars. No case specially relating to the canines is known. In each of these groups the cases relating to (A) vrild Canidse 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 Hens el, Morph. 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 mf and have been set apart as a genus under the name Cuon (Hodgson, Calcutta Jour. JST. H., 1842, ii. p. 205). The genus Icticyon differs in having normally mh. The genus Otocyon on the contrary has usually ??if. Of the variations to be described in Canis the most notable are (1) cases of itzi ; (2) cases of extra premolar, common in upper, very rare in lower jaws ; (3) cases of ™3 or m5, and one case of »if 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 ot cases of extra molars was found in C. cancrivorus, in which this abnormality seems to be common. The frequent absence of p1 in the Esquimaux dogs is worth notice. Absence of m3 is common in Dogs, but absence of «^ is rare. In Otocyon one case of mf is recorded, and in Icticyon one example has raf instead of m\. b. 14 210 MERISTIC VARIATION. [part I. I. Variation in Incisors and Canines. A. Wild Canid.e. No case of extra incisor known to me. Two cases of absent incisor, viz. 210. [Canis] Vulpes pennsylvanica, Brit. Columbia, having 3 3 i = — ; apparently i1 has not been present on either side. B. M., 1402, b. 211. Canis vulpes: only 5 incisors in lower jaw, with no trace of alveolus for the sixth. Schaff, E., Zool. Gart, 1887, xxviii. p. 270. B. Dogs. 212. Dog (resembling Bloodhound) : four incisors on each side in upper jaw. The externals, i3, normal, but no evidence as to which of the other teeth supernumerary. Leyclen Mus. 213. Thibetan Mastiff, Nepal: sockets for four teeth on each side in pmx. Teetli all gone. Alveoli of two sides nearly symmetrical. In absence of the teeth it cannot be positively stated that this is not a case of persistent milk-teeth, but this seemed unlikely. B. M., 166, g. 214. Mastiff: four teeth on each side in front of canines; from form of teeth probably case of persistent milk-canines. Lower jaw gone. 0. M., 1749. 215. Dog : on right, sockets for three teeth in addition to ?3 which is in place. These three sockets all smaller than the normal ones, and socket for upper right canine also slightly reduced in size. Odont. Soc. Mus. 216. Dog : small skull in my possession, has in place of right ^ two alveoli, both at the same level, divided by a thin bony septum, the one internal to the other : left P_ is in place and normal : lower jaw gone. 217. Among 345 Dogs' skulls four had extra upper incisor on one side, and one skull had perfectly formed fourth Tipper incisor on both sides. This tooth smaller than third incisor. Hensel, I. c, p. 534. Several cases of 7 or 8 incisors in upper jawr, teeth being usually asvmmetrical. Nehring, Sitzb. not. Fr. Berl., 1882, p. 67. 218 In lower jaw such cases much rarer. Supermini, lower in- cisor on one side, one case [? in 650 skulls], Nehring, ibid. ; also a Dog (chien clrinois-jajionais), 4 incisors in each lower jaw. Magitot, An. syst. dent, p. 81. Case of divided incisor. 219. Bulldog : right *"- with very wide crown; main cusp partially bifid, as if intermediate between single and double condition, Morph. Lab. Cambridge. Similar case kindly sent to rne by Prof. G. B. Howes. CHAP. IX.] TEETH: CANIDiE. 211 3 — 3 20. Absence of incisor is very rare in Dog. One case of i- — given by Hensel, I. c. p. 534. (Hensel observes that this gives the formula for incisors of Enhydris \Latax\ ; he also calls attention to fig. of Enhydris with three lower incisors in Owen, Odontogr., PL 128, fig. 12, but as this is not mentioned as an anomaly in text, it is very doubtful.) 21. 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 sjiecimen was kindly sent to me by Mr J. Harrison. II. Variation in Premolars. Several distinct variations were found in the premolars of Canidse. 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 p^, and was perhaps a duplicate of this tooth. One case of bifid p^ was seen, and two cases in which $P 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 p1 deserve notice. Lastly, though really an example of Substantive Variation, I have included a curious case of possibly Homceotic variation of yP_ into the partial likeness of the carnassial (No. 245). 1 On this point see Chapter x. Sections 3 and 5. 14—2 212 MERISTIC VARIATION. [part I. 222. Increase in number of Premolars. A. Wild Canid.e. C. dingo : specimen having two closely similar teeth between p2 and the canine in each upper jaw1. Both the teeth had the form and size of a premolar. This not a case of persistent milk-tooth, Nehring, A., Sitzb. naturf. Fr. Berlin, 1882, p. 66. 223. C. dingo : on right side p} is in place, and there is an alveolus for second tooth of about same size. On left side Pl is rather small. L. M. *224. C. lateralis, Gaboon. On 1. side p[ is single, but on rt. side there are two almost identical teeth between I? and the canine : of these the most anterior is level with, but slightly smaller than, left £_. (Fig. 40) B. M., 1689, a. (See Mivart, P. Z. S., 1890, p. 377.) Fig. 40. Canis lateralis, No. 224. View of canines and front premolars of the upper jaw. p1 of the left side is in symmetry with two teeth on the right side. 225. C. vulpes : in 142 skulls, one case of two teeth between p2 and canine (sc. five premolars) in left upper jaw. Hensel, I. c, p. 548. In C. vulpes the root of px is not rarely partly divided into two by a groove of variable depth. The division is sometimes nearly com- plete, as in C. S. M., 651. 220. C. mesomelas : two teeth between p2 and canine in left lower jaw, anterior the larger. Donitz, Sitzb. naturf. Fr. Berl., 1869, p. 41. Division of P2 227. C. viverrinus : left p^ represented by two teeth, each having one root. Of these the anterior is tubercular, while the posterior is rather long from before backwards. Anterior premolars normal. L. M. (Compare Sledge-dog, No. 237.) Reduplication of p%. *228. C. mesomelas : inside right upper p3 is a supernumerary tooth which nearly resembles ps, but is a little smaller; lower jaw normal. C. S. M., 643. (See Nos. 226 and 247.) 229. C. lupus: in addition to irregularities in position of teeth, there is a doubtful appearance as of an alveolus inside left P? which is displaced outwards. C. S. M., 024. 1 Mivart, I.e., by mistake quotes tbis case as one of extra teeth above and below. I CHAP. IX.] TEETH : CANID/E. 213 Partially bifid premolar. ^30. G. vulpes : right Pl 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 p] normal; .lower jaw missing. B. M., 175, o. Fig. 41. Teeth of Fox (C. vulpes) described in No. 230. The separate view shews the right first premolar removed, seen from the labial side. Extra premolar in lower jaw. 31. C. lupus : two teeth between p2 and canine in lower jaw on riyht side, one case: and the same on left side also, one case. These two occurred in 27 Wolf skulls seen by Hensel, Morph. Jahrb., 1879, v. p. 548. B. Domestic Dogs. •' 32. Dog : between p2 and canine on rt. side there are two teeth, each shaped like a normal p\ the anterior being somewhat the larger. This seen in two cases, figured in Fig. 42, II. and III. right ffl Fig. 42. Profiles of canines and anterior premolars in three dogs having two teeth on one side in symmetrv with one tooth on the other. I. C. S. M., 570. II. and III. Skulls in Cambridge Univ. Morph. Lab. Lower jaws absent. The property of the Zool. Lab., Cambridge (cp. C. lateralis, No. 224). 33. Spaniel : similar case, left side, Fig. 42, I. C. S. M., 570. 214 MERISTIC VARIATION. [part i. 5 5 234. Dog: large skull, having p~ -, all the normal teeth being o — o in place, of proper form and size, standing evenly without crowding. O. M., 1780. 235. Dogs. In 345 skulls were 1 1 cases of supernumerary premolar in the upper jaw, viz. on both sides, 1 case, on right side, 7 cases, on left side, 3 cases. These were all cases described by Hensel, as instances of the presence of "p5" of his notation, i.e. a tooth between px and canine. Hensel, Morph. Jahrb., 1879, v. p. 516. Out of 650 skulls, including Hensel's 345, 18 had two anterior premolars as described, on both sides in upper jaw. Nehring, Sitzb. naturf. Fr. Berl., 1882, p. 66. English Spaniel : outside and anterior to right & is a worn stump, probably of an extra tooth ('?). B. M., 166, j. 236. Deerhound : two alveoli where y^i should be ; probably two distinct teeth stood here, but it is possible that the two alveoli were for distinct roots of a single tooth. C. M., 991, B. Division of p2. 237. Sledge-dog, Greenland : all teeth normal except left upper p2. This tooth normally of course has two roots. Here it is represented by two distinct teeth, each having one root. The anterior has a fairly sharp cusp, but the posterior has a rounded crown. The teeth are in perfectly good condition and do not look worn. They are separated from each other by a considerable diastema. It appears clear that instead of the normal p\ two distinct teeth have been formed. O. M., 1787 (compare C. viverrinus, No. 227). Absence of Premolars. A. Wild Canid.e. 238. C. corsac : pl absent on both sides without trace. Giebel, Bronn's Kl. u. Orel., Mamm. p. 196, Note. 239. c. occidentalis : fi absent on both sides. C. S. M., 629. 240. C. vulpes : in 112 skulls : p1 absent from both sides 1 case, do. )) 55 left „ 1 do. 55 55 right „ 1 ? 51 55 both ,, 1 do. 55 55 left „ 2 do. 55 55 right „ 2 Hensel, Morph. Jdltrb., 1879, p. 518. A doubtful case of absence of left pi. B. M., 175, c. chap, ix.] teeth: canid^e. 215 £41. C. (Nyctereutes) procyonoides : p^ absent on both sides with- out trace in B. M., 186, e; and absent on right side in B. M., 186, d. On the contrary B. M. 186 a and b and C. S. M., 672, are normal. The following cases of absent premolars were doubtful : C. dingo : right v^ and left J^. C. S. M. C. antarcticus : p1 above and below on left side. C. S. M., 635. B. Domestic Dogs. >42. From the nature of the case it is not often possible to say with con- fidence that p1 has not been present in a given skull, but from the material examined this variation appears to be rather rare. In 216 skulls, excepting those of Esquimaux dogs, I only saw two clear cases in which the bones were smooth, without trace of alveolus, viz. " Danish " Dog: ^ absent on both sides, O. M., 1786. Terrier: p] absent on both sides. C. S. M., 579. Many others doubtful. According to Hexsel, however, absence of p1 is common, and he states that in 315 skulls the following occurred : p} absent on both sides 5 cases, do. „ „ one 4 „ p~l „ ,, both frequently, do. ,, ,, one 9 cases, pi absent on both sides and pl on one side, 1 case. Morph. JaJtrb., 1879, p. 516. [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 p were seen in Dogs. 43. Esquimaux Dogs : absence of p* quite common, the following skulls being all of the breed that I have seen. Normals, with pi, only two specimens. Specimens with nop1, above or below, the canines in such cases standing close to p2, three cases, viz. B. M.^58. 5. 4. 96; B. M., 166, a; C. S. M., 512. £ absent on left side and ^ on both sides, C. M., 1000, c. p1 absent both sides and y absent on left side, L. M. p^ and ^7 both absent from right side; left normal, 0. M., 1789. jji absent on left side, B. M., 166, r, 3. pl 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 216 MERISTIC VARIATION. [part i. of the Esquimaux are rather with American tribes than with Europeans. If this were established, it would be not unlikely that the Esquimaux dogs might be descended from dogs domesti- cated in America before the coming of Europeans, and so far belong rather with the Inca dogs than with ours1. *244. Inca Dogs. The domestic dogs from the Inca interments, be- longing to a period before the coming of the Spaniards, have been investigated by Nehrixg. Of nine skulls not one had the full number of teeth and there was no case of supernumerary teeth. Sometimes the anterior premolar was absent, sometimes a posterior molar, and in some cases both. The formulae were as follows: 4—4 2 — 2 n P 4IZ3 ' m 2=3 case' 4—4 2 — 2 . P 3=3 ' m 3=2 T CaSe- 4—4 2 — 2 _ p g— - , m ^— - 3 cases. 4 — 4 2 — 1 . p 3=3 ' m 2=2 l CaSe- 4_3 2 — 2 , ^1=4' m 2=2 1 case- 3—3 2 — 2 n 2> 3_^3 1 m JZL3 2 cases- The clogs were all of moderate size, and none shewed any defects in the form of teeth, which were all strong and sound. Nehrixg, A., Kosmos, 1884, xv. p. 94. Variation (? Homceotic) in form of third Premolar. *245. Dog : large breed. In the upper jaw on both sides the third premolar, instead of having only two roots, has a third internal root, thus somewhat resembling the carnassial. The crown of the tooth very slightly changed. This is not a case of persistent milk-tooth, which though a three-rooted tooth, is very different. C. S. M., 558. III. Variation in Molars. Supernumerary molars are not rare in Canidse. In all cases seen by me these teeth are single-rooted, round-crowned, rather tubercular teeth, placed behind w2 or m? as the case may be. Hensel1 has observed that if m* occurs, then m? which is normally single-rooted, not infrequently has a double root, though the same variation may occur when there is no m4 present. Conversely, when m? is absent, not a rare variation, then m? is often of a 1 Bartlett, arguing chiefly from habits, considers the Esquimaux dogs to be domesticated wolves, and says that they often breed with the wolf. P. Z. S., 1890, p. 47. - Hensel, Morph. Jahrb., 1879, v. p. 539. chap, ix.] teeth: canid^e. 217 size below the normal, having a single root and a crown slightly developed, like that of S This reduced condition of m- may also occur in cases in which m? 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 Canid.e. Supernumerary Molars. |)4Q_ C. lupus: 26 normals seen. Specimen from Courland having supernumerary ?n? 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 m3, but it is not larger than usual. C. M., 976, M. Hexsel, I. c, p. 548, saw 27 skulls, none having extra molar, but one specimen known to him had a right n^. t>47. C. mesomelas $ (a Jackal) : small, bitubercular left »»l Doxitz, Sitzb. naturf. Fr. Berlin, 1872, p. 54. (See Nos. 226 and 228.) The S. American Ca niche {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 "^ 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. ;48. 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 m? 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 n& seen in other cases. B. M., 84. 2. 21. 1 (mentioned by Mivart'2, Monogr. Canidce). 5 49. Canis azarae : Brazilian specimen having a large super- numerary molar (w3) in each upper jaw placed in series with the others. In this specimen the great enlargement of ^ is very 1 Mammals, Living and Extinct, 181)1, p. 546. - In the same place Mivart mentions a case of "^ in " C. cancrivorus," but I have not seen it. Perhaps this reference is to van der Hoeven's case (No. 24'.)) which was by Burmeister named C. cancrivorus (see Huxley, P. Z. S., 1880, p. 208). 218 MERISTIC VARIATION. [part I. noticeable on both sides, and this tooth is present as a large tooth with apparently three roots. In the lower jaw there is no extra tooth, but the molars are considerably larger than those of a Fig. -13. Canis azarce. I. and II. Right upper and lower jaws of the specimen described in No. 248, shewing the extra upper molar and the correlated enlarge- ment of w2 and m-\ III. and IV. are taken from a normal specimen of slightly larger size. C, carnassial teeth. This figure was kindly drawn for me by Mr J. J. Lister. normal specimen (Fig. 43). In the figure, side by side with the teeth of the abnormal form, are shewn the teeth of a normal skull which was slightly larger than the abnormal one, for comparison. Leyden Mus. ' 250. C. magellanicus : specimen having Ji? on both sides. B. M., 46. 11. 3. 9 (mentioned by Huxley, I. c). *251. C. cancrivorus. The only skulls of this species seen by me are those in B. M. Of these one skull with lower jaw, one skull without lower jaw, and one lower jaw without skull, have numerically the normal dentition of Canis, but of these, one has right m;* much larger than corresponding left tooth. The following were abnormal : small tubercular m~+ on both sides, upper series normal, B. M., 1033, b, and also B. M., 1033, c, (Fig. 44, II.) mentioned by Huxley, I. c. 252. Specimen having upper series and left lower series normal. On inner side of right m? and as it were growing out from this tooth is a 1 This is no doubt the skull described by van der Hoeven, Verh. k. Ak. Wet., Aim-t., iii. 1856, PI. See Huxley, P. Z. S., 1880, p. 268. CHAP. IX.] TEETH : CANID.^. 219 large 'odontome' composed of four small tubercular teeth. Each of these has a distinct crown and neck, but apparently the necks join with L R M Fig. 44. Posterior lower molars of S. American Foxes. I. G. vetulus No. 249. II. C. cancrivorus No. 251. III. C. canerivorus No. 252. In each case the right and left sides are shewn. R, right. L, left. each other and with the neck of m?, which is displaced (Fig. 44, III.). B. M., 1033, a. (mentioned by Huxley, P. Z. S., 1880, p. 268; figured by Mivart, P. Z. S., 1890, p. 377). In answer to an inquiry, Prof. Nehring informs me that he has three skulls of C. cancrivorus Desm. ( = C. braziliensis Lund.) from the province of S. Paolo, Brazil, which are normal, except that in one pi has never replaced d1, which is in place ; and that another Venezuelan skull of this species is also normal. [Whether the B. M. specimens are really of the same species as these I do not know.] The rarity of supernumerary molars in C. vulpes, the common Fox, is remarkable in contrast with the foregoing evidence. In 142 cases (to which I can add 37), Hensel, Morph. Jahrb., 1879, found no single case. Absence of Molars. >}}? is very rarely absent in Canidse, and among the wild forms no case seen in 289 skulls (except a doubtful case in C. occidentalis, right ■3. 220 MERISTIC VARIA.TIOX. [part I. side, C. S. M., 628). m* was observed to be absent in the following : C. lagopus, from Kamtschatka, absent on both sides in two cases received in same consignment with 4 normal skulls. B. M., 88. 2. 20. 9 and 10; another case from Norway. Leyd. Mus. C. zerda : on left side. C. S. M., 671. C. vulpes : ditto, 2 cases. B. M., 177, a and 175, b. C. viverrinus : on right side. Leyd. Mus. C. procyonoi- des : ditto. Leyd. 3Ius. Hensel, I. c, gives the following : C. vulpes: 142 skulls; m? absent on both sides, 5 cases; on left side, 3 cases. C. lupus : m? absent on left side, 2 cases ; on right side, 1 case. ICTICYON AND OTOCYON. * It is remarkable that in each of the two genera Icticyon and Otocyon, which are especially distinguished from Ganis by the possession of unusual dental formulae, numerical Variation in the teeth has been recorded, though the number of skulls of these forms in Museums is very small. The two forms, besides, differ from Canis in opposite ways, the one having a tooth less in each jaw while the other has in each jaw a tooth more, so that the presence of extra teeth in the two species is all the more im- portant. 255. Icticyon venaticus : according to the authorities has p£, m^, viz. a molar less than the Dog in each jaw. The following skulls are all that I have seen. The carnassials did not vary appreciably in the three skulls. Each skull differs from the others, as follows. p±, «4, B. M., 185, a. »i, m~ - B. M. 185 b. p\\ mk /fc. S. M., 533. (See Flower, P. Z. S., 1880, p. 71.) 25 G. Otocyon megalotis [ = lalandii and coffer'] : the usual formula is p^, mf, that is, one molar more than the Dog in each jaw. It occurs in 4 skulls at B. 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 - -r. In this case w* is enlarged also on both sides. C. S. M., 675 (see Cat. Mus. Coll. tiurg., Arc.). Three specimens having mf mentioned by Doxitz, Sitzb. naturf. Fr. Berlin, 1872, p. 54. B. Domestic Dogs. Supernumerary Molars. 257. Dogs. In 345 skulls the following 28 cases occurred, chiefly in large breeds: "^ on both sides and v? on one side, 1 case. »^ on both sides 2 cases, w^ on one side 9 cases. nt? and m* on one side only 2 cases. mi on both sides 6 cases. ;/;4 on one side only 8 cases. Hensel, Morph. Jahrb., 1879, v. p. 538. chap, ix.] TEETH : CANIDiE. 221 In addition to these, >]^ and m* 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 Amphicyon. 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 m*. C. S. M., 587; Bulldog: left m\ B. M., 166 s; Dog from New Zealand, having left w3, left m2 being larger than right »f. C. M., 1000; Bhotea Mastiff: m* on right B. M., 166, f. ; Pointer: left m*. C. M., 1000, A; Dog: right m* Camb. Morph. Lab.; Pariah : m^ has been present on both sides, also a small stump below i^ and P2, possibly part of a milk-tooth. B. M., 166, d. 1259. Mastiff: supernumerary »j5 on right. The right m? materially larger than left m* (Fig. -45). C. S. M., 555. left reversed Fig. 45. Posterior molars of lower jaw of Mastiff No. "259, having an extra m* on the right side. Right j^ is materially larger than left ^. J60. Dog, large size, supernumerary m* on right side. On both sides m» is two-rooted1 and of large size. Leyd. Mas., 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, m? on both sides. Bulldog »f on left side; Esquimaux, Pug, Spaniel, West Indian Dog, >»* on right side. Coach-dog : m* on both sides, Magitot, Anom. Syst. dent., p. 103. Absence of Molars. 262. Dog : in 345 skulls the following seen : m± and ^ absent on both sides,J2 cases ; ^ and ^5 absent on both sides, 1 case ; ^ absent on both sides, 25 cases ; ^ absent on one side, 9 cases. Hexsel, /. c. In 216 seen by me the following occurred: ^3 absent on both sides, 7 cases; C. M.,993 and 978; C. S. M. [Store), 65 and 67; two sknlls marked " Skye Terrier," 1 It generally has a simple, conical root, but not rarely it has an imperfectly divided root, e.g. Newfoundland dog, O. M., 1778. 222 MERISTIC VARIATION. [part i. probably both of the same strain, C. M. 991, F and G; and Fox Terrier, C. M., 991, R; ^ absent on leftjide, 2 cases. Irish Wolf-dog, B. M. 82. 11. 11. 1; Fox Terrier, C. S. M., 580, A ; ^s absent on right side, 1 case, Bloodhound, B. M., 166, t. besides a few doubtful cases. Inca dogs : for evidence as to absence of molars, see No. 244. FELID.E. The following evidence relates to the genera Felis and Gyn- celurus. The usual formula is /§, c\, p§, m\. Of ivild species, 278 adult skulls having no extra teeth were seen, and 8 cases of extra teeth (nearly 3 per cent.) : of domestic Cats, 35 adults without, and 3 cases with extra teeth (so far, about 9 per cent.). As in Canida? so in Felidse, there is a remarkable group of cases of variation in the anterior premolars. In the normal a smaH anterior premolar stands in the upper jaw, and commonly it is one-rooted, sometimes two-rooted (cases given) ; but there is no small anterior premolar in the lower jaw. Cases of variation consisting in the presence of two small premolars above are common1, just as there are often two small anterior premolars in the Dog. There are besides a few cases of the presence of a small anterior premolar in the lower jaw, but they are rather rare, and curiously enough there seems to be no case of the coincidence of these two variations in the same skull. As already stated, in describing cases, the small anterior pre- molar in the upper jaw will be here spoken of as p1, though no suggestion that it is the homologue of the Dog's p^ is meant. In a few species £_ is most commonly absent (cases given). There are some curious cases of duplicates of large premolars (Cat) and one of duplicate canine (Tiger), also a few of supernumerary molar. Though so small, and biting on no tooth of the lower jaw, m* is nearly always in place even in old skulls (Hensel). Variation in Incisors. No quite satisfactory case of numerical variation in incisors of Felidfe known to me. The following should however be rnentioned. 203. r. lynx: two extra teeth in premaxillae. Right incisors normal; sockets for left incisors normal. Outside left f and close to canine is an extra tooth of good size, and in same place on right is a socket for a similar tooth. Since they are in pre- maxillae these teeth are probably not persistent milk-canines. Lower canines bite in front of the extra teeth. B. M., 1156, a. Incisors absent. 2(34, F. pardalis: i1 and T1 absent on left side. As regards the lower jaw the tooth may have been present, and been lost, but left & has probably never been present. It is especially notable that left ? is larger than right &, but there is no indication that z1 is compounded with it. B. M., 1068, a. F. chate [1 =pardalis']: doubtful if i1 has been present on either side. B. M., 55. 12. 26. 178. 2(3,*) Cynaelurus jubatus : no trace of right f3" same skull has no P^\ lower jaw normal. B. M., 135,/. 1 For discussion of such cases see Chapter x. Section 5. CHAP. IX.] TEETH : FELID.E. 223 Anterior Premolars {supernumerary). Upper Jaw. 266. p. pardus : right P1 single and normal; on 1. side two such teeth, both standing at level anterior to right/*1. The anterior is of same size as rights, the posterior is rather smaller. B. M., ST. 4. 25. 1. ;-o7. P. eyra : two small anterior premolars in left upper jaw, Baird, U. S. and Mex. Bound. Surv., Pt. 2, PL xin. figs. 2, a and 2, c [anomaly not mentioned in text]. !68. 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. upper jaw of F. inconspicua, No. 269. Eight-hand figure : ). 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 "p3", while anterior is only a little behind canine (Fig. 46, II.). B. M., 85. 8. 1. 26. (Another specimen has j^_ as large single-fanged tooth.) 70. I*. 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. 71. Out of 252 skulls two anterior premolars on both sides, 4 cases ; on right, 2 cases ; on left, 1 case [none specially described]. Hensel, Morph. Jahrb., 1879, v. p. 553. 72. F. caligata, Socotra : outside right p2, a small extra tooth. In this specimen p} on each side has two roots. B. M., 857, b. Doubtful cases of extra upper anterior premolar, F. pardus, C. S. SI. 365; F. leo, C. S. M. 308. 7:). 74. 75. Lower Jaw. F. concolor : a supernumerary anterior premolar on both sides present, Berl. Anal. Mas., 3678. Hensel, ibid. F. catus or mani- culata : ditto. Frank/. Mus., Hensel, ibid. F. catus : ditto, on left side, closely resembling p1. Two cases, B. M., 1143 and 1143, a. F. domestica : (in 252 skulls) a supernumerary premolar on both sides, just in front of and nearly same size as the usual "/*," 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. Hensel, ibid. F. tetraodon : alveolus for small anterior premolar in right lower jaw; but as this fossil form very rare, uncertain whether normally 224 MERISTIC VARIATION. [part i. present in the species, de Blainville, Osteogr., Atlas, PI. xvi. Feles fossiles. Variations in size of p\ 27(5. F. pardus : p} sometimes two-rooted, as C. S. M., 360 (African); more often one-rooted, as C. S. M. , 364, &c. : many gradations between these. In B. M., 115, q right & extraordinarily large, left normal. Minute alveolus external and posterior to each of these ; on left side a small worn stump [? of milk-tooth] in this alveolus. 277. r- domestica : p} two-rooted C. S. M. 409 and B. M., 1'27, 9 1 11 n ii ii — — — — 1 u ii + - + + 3 ii ii M. anakim ) + + + 1 25 2 Japan j M. chinensis 3 Taxidea : p§ , m\. Mellivora : p\ 7 specimens. 7 specimens. :to. Helictis: p^, m\. 6 specimens. Ictonyx ( = Zorilla) : p% , m\. 14 specimens. Lutra. The Otters for the most part have pf , 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^. Lutra vulga ris ii M ,, macrodus a a ,, cinerea ii ii ,, sumatrana ,, capensis ii ii ,, maculicollis „ felina ii ii ii a „ sp. (S. America) right left + + - + + + + + + + + + + + + + + — + + + - Cases 40 1 11 2 (1 old; 1 young) 2 (young) 6 4 1 1 1 3 3 2 14 1 1 In L. cinerea ( = leptonyx) the absence of l^_ 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 Lydekkek, Mammals, Living and Extinct, p. 568, Fig. 261. 234 MERISTIC VARIATION. [part I. Large Premolars. 311. Putorius (labelled " Vison Horsfieldii"): at the place in which the right lower posterior premolar ("p* ") should stand there are two such teeth at the same level. They are almost identical, but the inner Fig. 52. Putorius, No. 311, right lower jaw, ground-plan of teeth and profile views of 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. 312. Helictis orientalis, Java: having supernumerary two-rooted tooth internal to and between p2 and 1?. This extra tooth is almost a copy of p_2 (Fig. 53). B. M., 824, a. Fig. 53. Helictis orientalis, No. 312. Surface view of upper jaw and a representation of the right upper teeth as seen from inside. Molars. 313. Putorius : Hensel, Morph. Jahrb., v. 1879, p. 540, states that he has several skulls of Faitorius putorius with an extra upper molar on one side in a rudimentary condition. Giebel, Bronn's Kl, u. Orel., p. 18G, Taf. xv. figs. 1, 2 and 3, figures a specimen of "Putorius typus" having a fairly well developed extra upper molar on each side making to# instead of mi. Probably both these accounts refer to P. foetidus. 314. Lutra platensis: supernumerary molar on one side of upper jaw. Such a tooth normally present on both sides in L. valetoni, a fossil form. Von Heuglin, Nov. Act. Leop. Car. Cces., xxix. p. 20. Lutra chap. IX.] TEETH : PINNIPEDIA. 235 sp., S. America, B. M., 85. 11. 23. 1, has small alveolus behind m* on each side. 5. Mellivora ( -Ratelus): similar case. Von Heuglin, ibid. (i. Meles taxus has normally m-|. Skull from Quarternary diluvium of Westeregeln has small alveolus behind right m? and left in5. Another fossil skull has vif. Nehring, Arch. f. Anihrop. x. p. 20. [1 Small alveolus behind left ^ [n B, M., 211, h.] i. ZiUtra: case of absence of ],£; Mustela: ^a may be absent. Hensel, I. c. PINNIPEDIA. With reference to dental Variation in Otariidse and Phocidaa 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 Phocidae 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 tf, while the Monachinse have i\ and the Cystophorinse i \. Of Phocinse of various genera and species 105 skulls having i\ were seen, and in addition the two following. 1 8. 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 236 MERISTIC VARIATION. [part i. premaxilla? is different from that seen in other specimens of Phoca, and, doubtless in correlation with the absence of the two upper Fig. 54. Incisors and canines of Phoca barbata, No. 318. incisors, the width of the premaxillae is considerably less than in specimens having the normal dentition. B. M., 90. 8. 1. 6. 319. 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 the outer one in size agrees with &, being a lai'ge alveolus equal to that of i'3 of the other side, but the second alveolus, occupying the place of $ and i2, is also a large alveolus, scarcely smaller than that for $. It appears therefore that in this specimen a single large tooth stood in place of J1 and I2. 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 arrangement. In Phocicke there are normally five teeth behind the canines in each jaw, and according to the received accounts, of these teeth 4 are premolars and one is a molar, giving p |, m \, The Otariidae on the other hand have generally p |, m f , but both 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 Otariidae, however, as 0. californiana, do not possess such a pos- terior tooth, and have only m \. 0. stelleri is peculiar in the fact that it also has only one upper molar, but this tooth is separated by a large diastema from p\ and stands in the position character- istic rii2 of the other Otariidae. Hence it may be supposed that n& is really absent while ^2 is present. Amongst the cases will be found some of the presence in Pho- cidae, especially Halichoerus, of an extra molar placed in the usual position of »f in the Otariidae. But lest any one should think it manifest that this is an example of Reversion to the Otarian con- dition, attention is called to cases of such an extra molar in the Otariidae also. Similarly there are instances of absent molar in those Otariidae which have m \, leaving m -j- ; and of these cases one occurs in such a way as to leave the peculiar diastema between CHAP. IX.] TEETH : PINNIPEDIA. 237 20. £ and the molar, referred to above as characteristic of 0. stelleri (see No. 342). The cases are grouped in an arbitrary collocation, according as it seemed desirable that particular variations should be studied together. In the sections dealing with premolars, Phocidae are not separated from Otariida1. First Premolar. Ommatophoca rossii, an Antarctic Seal. Of this form only two skulls are known, both in the British Museum. One of these (B. M., 324, b.) has the arrangement usually found in Phocidse, namely, five teeth behind the canines in each jaw, giving the formula .2 — 2 1 — 1 5- i T i P + m 2—2 o -5 (on the analogy of other Seals p±, m\). The other specimen is exceedingly remarkable (Fig. 55). In it the incisors and canines Fig. 55. Ommatophoca rossii, No. 320, teeth of the upper jaw. are as in the first specimen, but the first tooth behind the canines on both sides in the lower jaw and on the right side in the upper jaw, has a very peculiar form, having a deep groove passing over the whole length of the tooth, on its outer and inner sides. These grooves extend from the tip of the root along both sides of the crown, and thus imperfectly divide each tooth into an anterior and 238 MERISTIC VARIATION. [part I. a posterior half. The cusp of each tooth is also divided by the grooves so as to form two small cusps. Each of these teeth is therefore an imperfectly double structure, and may be described as being just half-way between a single tooth and two teeth. These teeth are shewn in Fig. 56. Fig. 56. Ommatophoca rosxii, No. 320. The anterior premolars of upper and lower jaws from the side. (The left lower and right upper teeth were not extracted.) 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 similar 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 dental formula of this skull, taken as it stands, is therefore 5 4, i \ P \ 7>in>^ 7 > for since the bigeminous teeth are not com- r 4 — 4 1 — 1 & pletely divided, they must be reckoned as single teeth. 321. Cystophora cristata : internal to and slightly in front of />' on each side in the upper jaws is an extra tooth. These extra teeth are alike in form but are rather smaller than p1. C. M., 895. 322. Cystophora cristata (label, Phoca cristata): internal to right upper p1 is an alveolus for a small one-rooted tooth. In the corre- sponding situation in the left lower jaw there is such an extra tooth in. place. Leyd. M. 323. Zalophus lobatus ( = Otaria lobata): left P^ smaller than right P^, and between the canine and the left p1 there is a supernumerary tooth, smaller than left p\ (The same skull has another extra tooth outside and between p^ and p* see below No. 333.) Leyd. M. [P. vitulina: alveolus for left p\ much larger than that for rt. pl; the latter tooth is in place, but left p| is missing. C. M., 902.] Large Premolars. 324. J?« grcenlandica : in the position in which left upper p* should stand there are two whole and complete teeth, each as large as normal P^. Fig. 57). The two stand perfectly in series, and owing to the wide CHAP. IX.] TEETH : 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 grcenlandica, No. 324. Left and right profiles. This figure was kindly drawn for me by Sir J. J. Lister. 325 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 p^ bite be- tween p* and m} of the lower jaw. On the right side pf is normal and w*1 is also normal but ^ 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 F4 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. Leycl. M. 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 ursina, No. 325, seen from left side. 1, 2, 3, 4, first to fourth lower premolars ; 5, lower molar. Next, the two posterior premolars of each side (p^ and p^) agree so nearly that there is no reasonable doubt that they are not concerned in the variation. Anterior to this there is difficulty, for whereas p1 and p2 are normal and in place on the right side, there are three teeth on the left side to balance them. These three teeth moreover are so nearly alike that it is impossible to say that either of them is 240 MERISTIC VARIATION. [part i. definitely the extra tooth. The first premolars of each side are almost exactly alike, and the second and third of the left side are each very like the second on the right side (p2), so that it might be said that p2 was represented by two teeth on the left side; and as seen in Fig. 58 the second and third on the left side bite between p and p of the lower jaw, as the normal F2 would do. This is however accomplished by the backward displacement of p*. Probably therefore this should be looked on as a case of division of l£, but there is no proof that the three first premolars of the left side are not collectively equivalent to the first two of the right side. C. M., 911, f. 826. 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 level in the arcade, the inner one being rather smaller. On the left side the second upper premolar is incompletely double, the crown being partially divided by an oblique constriction into an anterior and internal portion and a larger posterior and external part. The former has one root and the latter two. P. M., A, 2897. 327. Otaria jubata : left upper ]/ a bigeminous tooth something like the anterior premolars of Ommatophoca (No. 320). In this animal all the premolars and molars are one-rooted and have simple conical crowns. The abnormal tooth is formed as it were of two such simple teeth imperfectly divided from each other through their whole length, the plane of division being transverse to the jaw. The teeth of the two sides are not alike and in particular the posterior lower m1 is much smaller than the right. The skull has been much mended and the position of some of the teeth is not very certain, but the above- mentioned facts are correct. C. S. M., 975. oZo. Otaria cinerea : supernumerary tooth in upper jaw on both sides. The extra tooth in each case stands within the arcade, internal to the •9- Fig. 59. Otaria cinerea, No. 328. A diagram of the positions of the upper teeth, and profiles of the teeth standing internal to each m}. 5th tooth behind the canine (sc. w^), which is pushed outwards by it. The extra tooth of the left side (Fig. 59) 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 pz of the lower jaw. This tooth stands within the arcade at a level between that of j^ and FJ 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 jja. In position this extra tooth does not stand between p* and p3 like the upper supernum- erary, but is placed within the arcade and p* and p~4 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 p3, while the lower one is between p and yA 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. '0. Otaria ursina : this skull in bad condition. The Catalogue (1884) states that between p2 and FJ on both sides and between P^ 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 MERISTIC VARIATION. [part i. as lA In each case the extra tooth is placed a little within the arcade though the adjacent teeth are also spaced out for it. This skull has been a good deal mended. C. S. M., 990. 331. Fhoca grocnlandica : in right upper jaw j£ is smaller than the corresponding tooth of the left side, though it is two-rooted as usual. Between it and P> there is a small, peg-like, supernumerary tooth. Both p^ and the extra tooth bite between p~i and mx of the lower jaw. Leyd. M. 332. T. groenlandica : supernumerary 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., 328, i. 333. Zalophus lobatus: in right upper jaw a supernumerary tooth placed on the outside of the arcade on a level with the interspace between p:i and _p4. This tooth resembles p* or to1. On the left side p} is smaller than on right side and a supernu- merary tooth which is still smaller stands between p} and the canine. Leyd. M. [given above, No. 323]. 334. P. vitulina: in right lower jaw a supernumerary tooth inside the arcade, between -^ and p*. In size and form it agrees very nearly with the first premolar of the right lower jaw: other teeth normal. C. M., 903, F. 335. P- vitulina: in front of p* on left side the teeth are all lost but there has been some irregularity, probably a supernumerary tooth level with pi : also behind right wj there is a small tubercular nodule of bone which may perhaps cover a supernu- merary molar. C. S. M., 1064. Molars. ! i 336. P. vitulina : on left side there is a small supernumerary molar placed behind ^. This tooth stands in the line of the arcade (Fig. 61) + Fig. 61. Phoca vitulina No. 336, a profile of the left teeth in the bite as seen ; from within. but is turned so that its greatest width is set transversely to the jaw. | In the lower jaw of the same side there is a supernumerary tooth placed internally to jjjS. This tooth has two roots and three cusps, and is i therefore not a copy of jTt1, which has 4 — 5 cusps. C. S. M., 1067. *337. Halichoerus grypus : of 47 skulls seen, 12 have one or more supernumerary molars. One case of p\ , m\. Nehring, Sitzb. naturf. Fr. Berlin, 1883, p. 110. 9 2 Of 34 skulls in Greifswald Museum there were 3 cases of m 1—1' and five cases of m\ on one side only. Ibid., 1882, p. 123. Of 11 skulls seen by myself two individuals (C. M.) have an extra molar on left side. In these cases the extra teeth are placed at a considerable distance behind »^ as they are in Otaria. [In addition to these Gray figures a skull with wf but without allusion to this fact in the text. Hand-list of Seals in B. M. 1874, PL vil] chap, ix.] TEETH : UNGULATA. 243 A skull having left w& two-rooted, right »^ being much less so. C. S. M., 1059. 338 P. grcenlandica : minute supernumerary molar on each side in upper jaw making vif. P. M., A. 2898. 339. Zalophus californianus, an Eared Seal not far removed from Otaria, but having^ + ?nt instead of 4. The five back teeth are arranged as a rule in a continuous series, but sometimes there is a small space between the last molar and the penultimate [cp. 0. stelleri], and occa- sionally they are all slightly and evenly spaced. One case of p + mi on both sides and two cases oip + nij on one side only. In these the extra teeth were behind the (normally) last molar and smaller than it, being without the accessory cusps seen in that tooth. Allen, J. A., Ar. Amer. Pinnipeds, 1880, pp. 209, 224 and 226. 140. Z. lobatus : one specimen having p + mi on right and -f on left, Leyd. M. [in addition to 3 specimens with the normal §]. 7 7 141. Callorhinus ursinus : normally p + mi; one case having = — - 0 — 0 and one case with = -. Allen, I. c, p. 224 (cp. No. 343). 0 — o Reduction in numbers of molars. q 5 42. Arctocephalus australis, normally p + mi: one case of — =. General statement made that in cases of absence of a tooth it is the antepenultimate molar which is missing [not described in a specific case]. Allen, I. c, p. 224. 43. Callorhinus ursinus, normally 4; 2 cases of f. Allen, I. c. (cp. No. 341). 44. Otaria jubata, normally 4: one specimen having 4 on both sides, Leyd. M.; one specimen having right ~ left 4. Leyd. M. Cystophora cristata: only one molar, viz. left ^1 present; from the state of the bones it seemed possible that the others had not been formed, but this is quite uncertain. C. S. M., 1101. Macrorhinus leoninus: doubtful if the molars had been present. G. S. M. 1109. UNGULATA. As to the occurrence of Variation in the dentition of Ungulates I have no statistics, but a certain number of miscellaneous cases have been collected from different sources. Most of the cases relate to domestic animals and are given on the authority of Morot and Goubaux. Perhaps the most interesting evidence is that regarding the change of form in the " canines " of the Sheep. These teeth of course have normally the shape of incisors, but in the cases described by Morot they had more or less of the character of canines. This evidence, though belonging properly to the Sub- stantive class, is introduced here on account of its close relation to some general aspects of variation in teeth. 1G— 2 lit * 244 MERISTIC VARIATION. [part i. It is noticeable that there is so far no case of an incisor appear- ing in the upper jaw of Ruminants. The evidence is divided into two groups, the first relating to incisors and canines, the second to premolars and molars. Incisors and Canines. 345. Elephas africanus Rhinoptera jussieui (= javanica) : specimen in which the number and arrangement of the rows of teeth is different on the two sides, as shewn in Fig. 69, upper diagram. The dis- position on the right side of the figure is normal, that on the left being unlike that of any known form. Specimen in B. M. described by Smith Woodward, Ann, and Mag. N.H., Ser. 6, vol. i. 1888, p. 281, fig. As Woodward points out, the rows of plates on the left side may be conceived as having arisen by division partly- of the plates of the central row and partly from the lateral row, marked I. But if this be accepted as a repre- sentation of the relation of the normal to the abnormal, in the Avay indicated by the lettering, the plates of the row marked 0 b, for instance, must be supposed each to belong half to one rank and half to a lower rank. The same applies to the plates in the row I b. By whatever cause therefore the points of develop- ment of the teeth are. determined, it is clear that the centres from which each of the teeth in the rows I b and 0 b was de- veloped were not merely divided out from centres in the normal places but have undergone a rearrangement also. With change of number there is also change of pattern. The tessellation on the abnormal side is so regular and definite that had it existed in the same form on both sides the specimen might readily have become the type of a new species. There is indeed in the British Museum a unique pair of jaws in both of which (upper and lower) a very similar tessellation 17—2 260 MERISTIC VARIATION. [part I. occurs in a nearly symmetrical way. This specimen is described as Rhinoptera polyodon, but it is by no means unlikely that it TT J, Ml" OC Ob Oa Fig. 69. Upper figure ; Rhinoptera jussieui, No. 396, after Smith Woodwakd, from whom the lettering is copied. Middle figure, Rhinoptera, sp., No. 397. Lower figure Rhinoptera javanica, No. 398, after Owen. is actually a Variation derived from the usual formula of Rhino- ptera. It is figured by Gunther, Study of Fishes, ISttO, p. 34b*, Fig. 133. *397. Rhinoptera sp. incert. : teeth as in middle diagram, Fig. 69. On the left side three rows of small lateral teeth, while on the right side two of these rows are represented by one row, which in one part of the series shews an indication of division. C. S. M. (Ifuuterian S%)ecimen). CHAP. IX.] TEETH : SELACHII. 261 39M. 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. too. 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. "Cestracion «*p." [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 262 MERISTIC VARIATION. [part I. divided, but the division is gradually lost towards the middle of the jaw and the external plates are without trace of division. C. S. M. Fig. 71. The lower jaw of a Selachian, No. 400. The proximal ends shewn (enlarged). The right is reversed for comparison with the left. Eadul^e of a Gasteropod. The following example of Meristic Variation in the teeth of a Molluscan odontophore 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. Generally speaking the number and shapes of the radular teeth are very characteristic of the different classificatory divi- sions. There are however certain forms in which a wide range of Variation is met with ; of these the case of Buccinum itndatum is the most conspicuous. *401. Buccinum undatum. In most specimens the number of denticles on the central plate is 5 — 7 and on the laterals 3 — 4. In 27 specimens from Hammerfest and Vardo the teeth were as follows : — Lateral plates. Cases. 4 ' 8 4 12 4 2 4 1 4 1 3&4 1 3& 4 1 4 & 5 1 Central plate. 5 6 7 6—8 9 6 7 8 from Friele, Jahrb. dent. mal. Ges., vi. 1879, p. 257. CHAP. IX.] RADUL^E : BUCCINUM. 263 *402. The range of Variation may be still greater than this, the number of centrals being sometimes as low as 3. Fig. 72 shews the different conditions found. In it eight varieties are shewn, r/WWV-, pA^VVV^ \TU Fig. 72. Variations in odontophore of Buccinum undatum. I. Three centrals (Labrador). II. Four centrals. III. Five centrals, approxi- mately symmetrical bilaterally. IV. Five centrals, not symmetrical ; the two external centrals on one side almost separate, correspond with a bifid denticle on the other side (Labrador). V. Six complete centrals (Labrador). VI. Seven centrals (Lynn). VII. Nine almost distinct centrals. VIII. Eight centrals; laterals asymmetrical (4 and 5). I. II. IV. — VI. from photographs made and kindly lent by Mr A. H. Cooke. III. VII. VIII. after Fkiele. I. II. IV. — VI. being taken from Mr Cooke's specimens, III. VII. and VIII. from Friele's figures. As thus seen, in these variations considerable symmetry may be maintained. This symmetry and definiteness of the varieties in the cases with 3 and 4 centrals is especially noteworthy, in- asmuch as these are abnormal forms and have presumably arisen discontinuously. As also seen in the figure, e.g. IV. and VI. this symmetry is not universal, and may be imperfect. The specimen shewn in VIII. is remarkable for the asymmetry of the lateral plates, which have 4 and 5 denticles respectively. In connexion with the subject of symmetrical division interest attaches to cases like that shewn in Fig. 72, IV. in which on the 264 MERISTIC VARIATION. [part I. outside of the central plate a pair of almost wholly separate denticles on one side correspond with a large, imperfectly divided denticle of the other side. A very similar specimen is figured by Friele, Norske Nordhavs-Exp., vm. PL v. fig. 16. The number found in one part of the radula is usually main- tained throughout the whole series, but this is not always so. A case in which the number of centrals at the anterior end of the radula was 6, and at the posterior end 8, is given by Fmele, Norske Nordhavs-Exp., 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 Avill 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.N Setting aside examples of the coming and going of certain small and variable 266 MERISTIC VARIATION. [part I. teeth, the animals shewing the greatest frequency of extra teeth were the domestic Dogs, the Anthropoid Apes and the Phocidse. 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 the hypothesis that Variation is uncontrolled save by 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 the facts. It is true that, so far as the statistics go, supernumerary teeth were more common in domestic Dogs than in wild Canidse, and though the number of Cats seen was small, the same is true in their case also as compared with wild Felidse. 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 Plioca. The 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 with that of a species which is variable though wild. The great variability of the teeth of the large Anthropoids/appearing not 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 Monkeys and the comjxirative rarity of great variations even in Man. If the Seals or Anthropoids had been domesticated animals it is possible that some persons would have seen in their variability a consequence of domestication. When the evidence is looked at as a whole it appears that no generalization of this kind can be 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 any other feature of its organization. Of such frequent Variation in single genera or species some curious instances are to be found among the 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 Cystopliora cristata. The number of cases of abnormality in the genus Ateles is very large. Of six specimens of Crossarchus zebra, two shew abnormalities. Of the very few skulls of Myrmecobius seen, two shew an abnormal num- ber of incisors. Three cases of Variation were given in Canis mesomelas, not a very common skull in museums. On the other chap. X.] TEETH : SYMMETRY. 267 hand the rarity of Variation in the dentition of the Common Fox (0. vulpes) is noteworthy, especially when compared with the extraordinary frequency of Variation in the molars of S. American Foxes. The constant presence of the small anterior premolar in the upper jaw of Otters (Lutra) of most species, as compared with the great variability of the similar tooth in the Badgers {Meles) and in other species of Otters, may also be mentioned. The evidence given in the last chapter should not, I think, be taken as indicating the frequency of dental Variation in Mammals generally. The orders chosen for examination were selected as being those most likely to supply examples of the different forms of dental Variation, and it is unlikely that the frequency met with in them is maintained in many other orders. (2) Symmetry in Meristic Variation of Teeth. With respect to bilateral Symmetry an examination of the evidence shews that dental Variation may be symmetrical on the two sides, but that much more frequently it is not so. The in- stances both of bilaterally symmetrical Variation, and of Variation confined to one side are so many that examples can be easily found in any part of the evidence. Besides these there are a few cases in which there is a variation which is complete on one side, while on the other side the parts are in a condition which may be regarded as a less complete representation of the same variation. Such cases are Onwiato- pJioca rossii No. 320, Plioca groenlandica No. 324, Dasyurus macu- latus No. 385, Canis lupus No. 246, G. vetulus No. 248, &c. In the remarks preliminary to the evidence of dental Variation, reference was made to a peculiarity characteristic of the teeth considered as a Meristic Series of parts. As there indicated, the teeth are commonly repeated, so as to form a symmetry of images existing not only between the two halves of one jaw, but also to a greater or less extent between the upper and lower jaws. It was then mentioned that cases occur in which there is a similar Varia- tion occurring simultaneously in the upper and lower jaws of the same individual. Such similar Variation may consist either in the presence of supernumerary teeth, or in the division of teeth, or in the absence of teeth. It should, however, be noticed that examples of Variation thus complete and perfect in both jaws are comparatively rare. Speaking generally, it certainly appears from the evidence that similar Variation, (1) on one side of both jaws, or (2) on both sides of one jaw and on one side of the other, or (3) on both sides of both jaws are all rare. Of these three the following examples may be given : — Of (1), Macacus rhesus No. 190, Ateles pentadactylus No. 196, Esquimaux dog No. 243, Phoca vitulina No. 32.9. 268 MERISTIC VARIATION. [part I. Of (2), Simla satyrus No. 166, Dasyurus maculatus No. 385, E. asinus No. 352. Of (3), Dog No. 257, Bettongia cuniculus, No. 392, Ateles margi- natus No. 203, Phoca barbata No. 318, Ommatophoca rossii No. 320. Of these, further examples may be seen in the evidence given regarding the anterior premolars of Galictis barbara, Meles, and Hevpestes. (3) Division of Teeth. Among the cases of increase in number of teeth are many in which by the appearances presented it may be judged that two teeth in the varying skull represent one tooth in the normal, and have arisen by the division of a single tooth-germ. Of 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, the two resulting teeth would stand in the line of the arcade. Incomplete division of this kind is seen in the first premolar of Ommatophoca rossii No. 320, in the fourth premolar of Phoca groenlandica No. 324, in the incisors of Dogs No. 219, in the canine of Dog No. 221, in the lower fourth premolar of Dasyurus geojfroyi No. 383. The plane of division is not however always at light angles to the jaw, but may be oblique or perhaps even parallel to it, though of the latter there is no certain case. Cases of division in a plane other than that at right angles to the jaw are seen in C. vulpes No. 230, Phalanger orientalis No. 368, Phoca groenlandica No. 326 and doubtfully in a few more cases. The existence of the possibility of division in these other planes is of some consequence in considering the phenomenon of duplicate teeth standing1 together at the same level in relation to that of the presence of duplicate teeth in series. Beyond this also it may be anticipated that if ever it shall become possible to distinguish the forces which bring about the division of the tooth-germ, the relation of the planes of division to the axis of the Series of Repe- titions will be found to be a chief element. (4) Duplicate Teeth. Teeth standing at or almost at the same level as other teeth which they nearly resemble may conveniently be spoken of as duplicate teeth, though it is unlikely that there is a real distinc- tion of kind between such teeth and those extra teeth which stand in series. Duplicate teeth were seen in Felis domestica Nos. 286 and 287, Cams mesomelas No. 228, Hevpestes ichneumon No. 300, [Putorius] Vison Jiorsfieldii No. 311, Helictis orientalis No. 312, Cystophora cristata No. 322, and perhaps in some other cases. That these cases are not separable on the one hand from examples of extra teeth in series may be seen from Herpestes gracilis No. 2.99, Cystophora cristata No. 321 [compare with No. 322], Brachyteles chap, x.] TERMINAL TEETH. 269 heniidactylus No. 199 [compare with Ateles marginatus No. 200], Phuca vitulina No. 336 ; and that on the other hand they merge 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, PJioca vitulina No. 329, Phalanger orientalis 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 Teeth. 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 heteroclont 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 MERISTIC 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 or the posterior being commonly larger than the other, there is no strict criterion of duplicity, and it is clearly impossible to draw any 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 between such a double thorn and two thorns occurring in series, having between them the normal distinctions of form or size. Very similar phenomena may be seen in the case of the strong dermal spines of such an animal as the Spiny Shark (Echi- norhinus spinosus). 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 No. 206, Man, Magitot, Anom. syst. dent, PI. v. figs. 4, 5 and 6, Ganis cancrivorus Nos. 251 and 252, Grossarchus zebra No. 302. (6) The least size of particular Teeth. What is the least size in which a given tooth can be present in a species which sometimes has it and sometimes is without it ? In other words, what is the least possible condition, the lower limit of the existence of a given tooth ? This is a question which must suggest itself 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 the answer depends. In the first 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 series 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. 194, 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, p1 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. fuliginosa 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. 272 MERISTIC VARIATION. [part i. Variation of unusual amplitude may be seen also in the molars of Bettongia Nos. 389, &c., for while on the one hand the last or fourth molar may be absent, it may on the contrary be large and may even be succeeded by a fifth molar as an extra tooth. All these conditions were seen in looking over quite a small number of specimens. (7) Homoeotic Variation in terminal Teeth when a new member is added behind them. Upon the remarks made in the last Section the fact here noticed naturally follows. We have seen that there is a fairly constant relation between the size of extra teeth and that of the teeth next to which they stand, so that the new teeth are as it were, from the first, of a size and development suitable to their position. We have now to notice also that the teeth next to which they stand may also 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 of a normal series is relatively a small tooth, as for example ms 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 better 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, Ganis azarcv No. 249 and Dasyurus macidatus No. 385. Besides these are several others of a less extreme kind e.g. Otocyon megalotis No. 256, 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 so graduated that the terminal member is comparatively small. 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 whole, 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) Beconstitution of parts of the Series. Lastly there are a few cases, rare no doubt in higher forms but not very 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. Miscellaneous Examples. In this chapter are given some miscellaneous examples. Most of them illustrate the Meristic Variation of parts standing in bilateral symmetry 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 for purposes of classification. Considerable Variation in these numbers is nevertheless well known, and many instances are given in works dealing with Reptiles or Fishes. The following cases are given as illustrations of some 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 1889. 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 These specimens are now in the Museum of the Royal College of Surgeons. An account of them was published in P. Z. S., 1890, p. 586. Figures of the same variation were given by Day, F., P. Z. S., 1887, p. 129, PI. xv. chap, xi.] 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 ligure 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. liarengus) 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—2 276 MERISTIC VARIATION. [part I. scales, (2) the number of the gill-rakers, (3) the alleged difference in the opercula of the two sides. In view of the first point, viz. that the number of the scales on one side is intermediate between that of the Pilchard and that of the Herring, it seemed desirable to know whether the resemblance extended to the minute structure of the scales or was restricted to their number only. On comparing microscopically the scales of the Pilchard and the Herring, I find that those of the Herring bear concentric lines which are almost always smooth and without serrations, while those of the Pilchard are marked with lines which are waved into very characteristic crenelated serrations. On compai'ing the scales 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 strongly against the theory that the small scales are derived from a Herring 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 of the first gill-bar, and in a specimen examined by me 72 were present and in normal Herrings 48. But in my two specimens shewing the repeated scales there 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 size and shape the gill-rakers were like those of the Pilchard, being smooth, and unlike those of the Herring, which bear well-marked teeth. As it is stated that the serrations characteristic of the operculum of the Pilchard were 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 d, priori objections to the hypothesis of the hybrid origin of these forms ; as, for example, that unilateral division of parental characters is certainly not a common phenomenon in hybrids, if it occurs at all, and so on. But since the evidence advanced for the theory of hybrid parentage is already open to criticism, it is perhaps unnecessary to discuss these further difficulties. 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 some genera and species, 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 just described. The number of such rows in Tropidonotus, for example, is generally 19, but Mr 404. Boulenger informs me that the Swiss Tropidonotus viperinus has either 21 or else 23 rows. 405. Tropidonotus natrix is remarkably constant in the posses- sion of 19 rows of body scales. A specimen taken in Switzerland 1 Compare with an interesting series of cases in Gasterosteus (Stickleback). Boulengee, G. A., Ann. and Mag. N. H., 1893, S. 6, xi. p. 228, see also ZooL, 1864, p. 9145; Sauvage, Nouv. Arch, du Mm., 1874; Day, Journ. Linn. Soc, xm. 1878, p. 110 ; &c. 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.] <06. A specimen of Snake from Morocco closely resembled Macropro- todon mauritanicus 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. 37. 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 89. Thielmann, C. H., Mailer's Arch, f. Anat. u. Phys., 1835, p. 511. )8. 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, (b) they may come from other sources ; or (c) there may be a co-existence of additional vessels from both sources. 278 MERISTIC VARIATION. [part I. Of the first class, there have been described cases of 409, one, "I two, I or three r one, 1 right aortic | two, | renals -I three Vleft aortic renals. associated with | or I four In the commonest form, next to the normal condition of one on each side, there are two on the right side and one on the left. In the second commonest condition there are two on the left and one on the right ; but among the forms with larger numbers, the greatest number 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, generally on the level of, or below the inferior mesenteric ; the third when present; is at a very short distance above the normal renal, very close to the supra-renal and on the level of the superior mesenteric. Cases of five on the right are described by Otto and Meckel, and 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. 73). In this case the posterior ends of the kidneys were united Fig. 73. Case of three renal arteries on each side combined with kidney" (Man). (From Guy's Hosp. Rep.). horse-shoe across the middle line in the condition known as " horse-shoe kidney" [see evidence as to Bilateral Series]. Guys Hosp. Rep., 1883, p. 48, fig. 410. Ureters. Male. Four ureters emerging from the hilum of each kidney. After proceeding about four inches they became united, forming a pelvis from which sprang the proper ureter. The hilum of the kidney was found to be 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. ill. Two ureters from one kidney are frequent. For an example, see Guy's Hosp. Rep., 1883, p. 48. Tentacles and Eyes of Mollusca. ,12. 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, PL xi. fig. 4. 13. 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, PI. vm. fig. 8. n v Fig. 74. Repetitious of eyes and tentacles in Molluscs. (After Fischer and Moquin-Tandon.) I. Patella vulgata, No. 413. II. Subemarginula, No. 412. III. Helix kermo- vani, No. 416. IV. Clausilia bidens, abnormal, No. 417 ; V. normal of the same. 280 MERISTIC VARIATION. [part i. 414. Triopa clavigera (a Nudibranch): adult of the usual size, having the lamellar rhinophore of the right side formed of three branches, of which the two anterior were lamellar, borne on a common peduncle, and the posterior was simple, of regular shape and probably representing the normal rhinophore of the right side. The rhinophore of the left side was normal. Ibid., S. 3, xxvm. p. 131. 415. Physa acuta : right tentacle bifid, left normal. Moquin- Tandon, Hist. not. des Moll. terr. etfluv. de France, I. p. 322, PI. xxxii. fig. 15. 416. Helix kermorvani : a second eye present, close to, but separate from the normal eye (Fig. 74, III.) on the left tentacle. Ibid., PL xi. fig. 10. 437 Clausilia bidens : supernumerary eye on the right tentacle as shewn in Fig. 74, IV. Ibid., PI. xxm. fig. 24. 4^8 Littorina : supernumerary eye on one tentacle. Pelseneer, Ann. Soc. beige de microscopie, xvi., 1891. In examining large numbers of Pecten of several species, Mr Brindley occasionally found one of the eyes imperfectly divided into two, the division being at right angles to the mantle-edge. Eyes of Insects.1 The following are examples of supernumerary eyes in Insects. They are mentioned as examples of the development of tissues of the same nature as those of the normal eye in abnormal situations. All the cases known to me occur in Coleoptera. 419. Toxotus ( = Pachyta) 4 — maculatus : a normal female. On the vertex of the margin of the right eye and abutting against it is 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 the normal eye, 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.filr vaterl. Cidtur., 1881, p. 355. 420. Calathus fuscus : having a third eye. On the left side of the vertex 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 la Brulerie, P., Ann. de la Soc. Ent. de France, S. 5, v., 1875, p. 426, note. 421. Vesperus luridus $ : head abnormal and bearing a third 1 For cases of eyes compounded in the middle line (Bees), see evidence as to Bilateral Series. chap, xi.] 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 25 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 Rhyttirhinus 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 tome. 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 S. carpini, No. 422, and of Bombyx quercus, No. 429, nevertheless suggest that Variation in number of wings is of the same nature as that seen in teeth, digits, or other parts standing in a Meristic Series. In the specimen of S. carpini it is especially noticeable that on the side having three wings, both the wings formed as secondaries were smaller than the secondary of the normal side ; but in other cases, G. rhamni (No. 427) for instance, this was not the case, and the wing standing next to the extra wing was normal. Both these con- ditions are frequently found in cases of the occurrence of super- numerary parts in series: for two members of a varying series may clearly correspond jointly with a single member of the normal series, or on the contrary a new member may stand ad- jacent 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 wing, 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. Right hind- wing normal First left hind-wing Second left hind-wing Greatest length. 22*5 mm. 20-5 „ 15-5 „ Greatest width. 19 mm. 14 11 „ about. 423 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 neuration 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.] 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, xi.] 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. t24. Samia cecropia J, 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 \ 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. 25. 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. 26. Vanessa urticae, having an additional hind- wing on the right side. This structure is inserted into the thorax dorsal to and bettveen the two normal wings. It is shorter and of about ^ 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. Mm] " ' • 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 MEMSTIC VARIATION. [part I. the missing leg had been broken off or whether the extra wing was in its place. Westwood, ibid., p. 220. A specimen of G. rhamni having five wings was caught at Brandon, Norfolk, in Aug. 1873 by Mr J. Woodgate, and exhibited to the Ent. Soc. by Prof. Meldola, Proc. Ent. Soc. , 1877, p. xxvi. A similar specimen of this species was bought at Stevens's auction-rooms and exhibited to Linn. Soc. by Prof. C. Stewart, in April, 1891. This specimen is now in Mus. Coll. Surg. Whether it is the same as that taken by Mr Woodgate, or that described by Westwood, or not, I cannot say, but possibly the references are all to one individual. 428. Lycaena icarus Fig. 86. Left manus of Cat No. 472, shewing Condition IV of the manus. at, cuneiform, d1 — d7, digits numbered from the inside. ?«, magnum, sclu, seapho-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 (c1— 3) and each of these bears a digit. Of these digits, d2 and d3 have each three phalanges, but d,1 has only two phalanges and may therefore be called a hallux. The digits d2 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 digits. They articulate in a normal way with the trapezoid, magnum and unciform, and are thus clearly II, III, IV aud V. The metacarpals of the " pollex " and of the double digit corre- sponding to d2 and d3 of Fig. 86 articulate with two separate carpal bones of the distal row. The external of these bears a rather thick metatarsus which peripherally gives articulation to two digits. 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 left 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 formed. 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 a right digit, bearing the same relation to the others as a right limb bears to the left. The flexors and extensors of this digit were fully developed. The carpal series was normal. [Condition II of the manus.] Right manus. Six digits fully formed, one bearing an additional nail on the third digit from the inside. Beginning 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 left digit and bearing a minute supernumerary nail in the skin chap, xiu.] 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.] 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 mantis. 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]. ■6. 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. 21 322 MERISTIC VARIATION. [part I. phalanges, but the claw not retracted to one side more than to the other. [Condition IV of the manus.J Left manus. The same as the right. [Condition IV of the manus.] *477. Cat having all extremities abnormal, also the property of the Oxford University Museum. Left pes. Like the left pes of case No. 474 [sc. Condition IV of the pes] represented in Fig. 87, II. Right pes a peculiar case (Fig. 87, I). The digits V, IV and III are normal right digits. The digit II marked 3 in the figure is e.cu Fig. 87. Hind feet of Cat No. 477. I. Right 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. Mas.) very slightly differentiated as a right digit, but the excavation on the external side is very slight, and the claw when retracted 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, xill.] 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.] 19. 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. Gatal., No. 306 A. [This specimen does not conform to any of the Conditions of my scheme.] * 0. In the case of the Cat the polydactyle condition has been observed by Poulton {Nature, xxix. 1883, p. 20, 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 MERISTIC 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 to 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 6-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 syndac- 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 the 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 three phalanges, or as the descriptions sometimes say, " like an 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-phalanged " 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 Condition 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 them 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, No. 490, the right 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. XIII.] 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 || 3 333 n "I 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 lingers, 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 abuormality 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 MERISTIC VARIATION. [part i. In addition to cases more or less conforming to schemes that can be indicated are several which cannot be thus included. These will be duly noticed when 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 of the Conditions, II and III for 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 the case of Teeth (see p. 272). It was then pointed out that when a new member is added beyond a terminal member whose size is normally small relatively to that of the normal penultimate, then the member which is normally terminal is raised to a higher condition. Now this same principle is seen in Condition III of the polydactyle manus. Attention must nevertheless be forthwith called to the fact that a tvvo-phalanged digit1 may be present internal to the thumb (usually arising from it) though the thumb has still but two phalanges. But generally these cases may properly be described as examples of duplicity 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 Meristic 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 of Polydactylism associated with Change of Symmetry. A. Digits in one Successive Series. c481. Man having a " supernumerary index " on each hand. Left hand. No " thumb " present. In its stead there is a digit having three phalanges which " performs its office." The middle phalanx was abnormally short. The first intermetacarpal space was not great. [Degree of opposability not stated.] Right hand. In addition to four normal fingers there was a three-jointed digit 1 A case in which a 3-phalanged digit was placed on the radial side of the pollex is mentioned by Windlb, Jotir. Anat. Phys., xxvi. p. 440, but has not yet been described. No other such case is known to me. This perhaps should be classed with double-hands. Cp. No. 502. CHAP. XIII.] DIGITS : MAN. 327 which could be opposed to them and could perform all the move- ments of flexion, &c. Internal to this three-jointed digit was a rudimentary thumb having only one phalanx and no nail. [Re- lations of metacarpals to each other not particularly described.] Guermonprez, F., Rev. des mal. de Venfance, iv. 1886, p. 122, figs. [Left hand Condition II ; right hand almost Condition III.] 182. Girl having a three-jointed thumb, resembling a long fore- finger. Annandale, Diseases of the Fingers and Toes, p. 29, PI. II. fig. 19. [Condition II.] 183. Man having a thumb with three phalanges on each hand. Feet normal. In the thumbs the metacarpal is 2^ in. long; the first phalanx If in., being longer than usual. The second phalanx is longer on the radial side than on the external side, causing the distal phalanx to curve towards the index. On the internal it measures § in., in the middle \ in., and on the ulnar side \ in. The distal phalanx is 1 in. long. When the left thumb is straightened it passes \ in. beyond the joint between the 1st and 2nd phalanx of the index. In the right hand the thumb scarcely reaches that joint. The utility of the thumb is not impaired. A maternal aunt had a similar thumb on right hand. Struthers, Edin. New Phil. Journ., 1863 (2), p. 102, PI. II. fig. 6. [Both hands Condition II.] (,84. Father and three children, each having 3-phalanged thumbs shaped as indices and not opposable. [Full description q.v.~\ Paternal grand- mother had double-thumb. Farge, Gaz. hebd. de med. et chir., Ser. 2, ii. 1866, p. 61. t85. Man having the following abnormalities of the digits. (Fig. 88). Right hand. The number of digits was normal, but the Fig. 88. Right and left hands of No. 485. Right hand in Condition II; left hand in Condition III. (After Windle.) 328 MERISTIC VARIATION. [part I. * 486. radial digit or thumb had three phalanges in addition to the meta- carpal, all the articulations being moveable. Relatively to the others their digit was placed as a thumb. Left hand. The digit corresponding with the thumb was composed of three phalanges like that of the right side, and though finger-like in form it was functionally a thumb. On the radial side of this 3-jointed digit there was a supernumerary digit composed of two phalanges articu- lating with the metacarpal bone of the 3-jointed thumb. This supernumerary digit had a well-formed nail. The 3-jointed thumb of the left hand was longer than that of the right hand (measure- ments given), Windle, B.C. A., Journ. of Anat. xxvi. 1891, p. 100, PI. II. [Right hand, Condition II ; left hand, Condition III.] Man having 3 phalanges in the thumb of the left hand together with a supernumerary digit. (Fig. 89.) This case in several respects resembles the left hand of the subject described by Windle. The four fingers were normal. The thumb stood in its normal relations to them, but was finger-like in form, having three phalanges in addition to the metacarpal. On the radial side of Fig. 89. Bones of left hand of No. 486, shewing Condition III. (After Eijkebusch.) this 3-phalanged digit there was a supernumerary digit, having two phalanges and a separate metacarpal, which articulated with the head of the metacarpal of the thumb and the trapezium. In the carpus of this hand there was a supernumerary bone which is described as an os centrale. The bones and muscles of this limb CHAP. XIII.] DIGITS : MAN. 329 are described in detail. The thumb and the supernumerary digit were closely webbed together and were very slightly moveable. Specimen first described by Rijkebusch, Bijdr. tot de Kennis der Polydactylie, Utrecht, 1887, Plates, and subsequently by Spronck, Arch, neerl, xxn. 1888, p. 235, PL vi. — ix. [Condition III.] t87 . Woman having 6 digits on each hand and foot as follows. In each hand the thumb has three phalanges, and internal to it articulating with the same metacarpal is an extra digit having two phalanges [measurements given] webbed to the three -phalanged thumb. [Con- dition III of the manus.] Right foot has six complete metatarsals and digits very regularly set, one of them being internal to but longer than the hallux which has two phalanges as usual. The digit internal to it has also two phalanges. Left foot has also an extra digit with two phalanges longer than the hallux, placed internal to and articulating with the metatarsal of the hallux which has two phalanges as usual. Many members of family polydactyle [particulars given]. Strtjthers, Edin. New Phil. Jour., 1863 (2), p. 93. [Note in this case that in the feet the digits added internally to hallux are greater than it, and they thus stand as the largest terms in the series, the other members being Successive to them. The series thus does not decline from the hallux both internally and externally in the way seen in most other cases of extra digits on the internal side of the limb.] 88. Man having six digits, each with three phalanges, on each hand. Fig. 90. Bones of right hand of No. 488 shewing Condition IV. n1 and n2 represent the scaphoid, lu, lunar, c, cuneiform, tm, trapezium. td, trapezoid, m, magnum, u, unciform, ac1, ac2 are supernumerary bones. (After Eudinger.) 330 MERISTIC VARIATION. [part I. The digits were arranged in two groups, which were to some extent opposable to each other. The digits II, III, IV and V stood in their normal positions and were properly formed. In the place where the thumb should stand there were two digits, each with three pha- langes. Of these the external (d?) was of about the length and form of the index finger while the internal, d1, was a good deal shorter and more slender. The bones of the carpus are shewn in Fig. 88. The scaphoid was represented in the right hand by two bones n1 and n2, and there were two accessory bones, ac1 and ac* placed in the positions shewn. The two hands were almost exactly alike, save for slight differences in the carpal bones [see original figures], and for the fact that in the left hand the internal of the two digits of the radial group was rather more rudimentary. Rudinger, Beitr. zur Anat. des Gehororgans, d. venosen Blutbahnen d. Schcidelhdhle, sotuie der ilberzdhligen Finger, Miinchen, 1876, Plate. [Both hands in Condition IV.] 489. A female child born to the last case, No. 488, had the right hand in the same condition as that of the father, while the left hand differed from it in the presence of an additional rudimentary finger arising from the ulnar side of the digit d\ This additional finger bore a nail but it appeared to consist of two joints only and to be attached to the metacarpus by ligamentary connexions. Rudinger, ibid. [Right hand in Condition IV ; left hand depart- ing from the Conditions enumerated. Compare with manus of Cat, Fig. 84.] *490. Man. Right hand bore six digits and metacarpals. The most external digit was a normal minimus, succeeded by digits IV and III webbed together. Next to III there was an index. Internal to this and separated from it by a small metacarpal space was a 3-phalanged long digit much as in Windle's case, No. 481, and internal to it is a 2-phalanged thumb of nearly normal form like that of No. 485. Left hand bore seven digits but six metacarpals. Minimus normal. IV, III and II webbed together. Internal to II was a 3-phalanged digit much as in the right hand ; but internal to this there was a metacarpal bearing two digits, an external having 3 phalanges and an internal having 2 phalanges. Each foot had six digits and six metatarsals (q. v.). Redescribed from the account and figures given by Gruber, Bull. Ac. Sci. Pet, xvi. 1871, p. 359, figs. [Right hand Condition IV, left hand Con- dition V.] 491. Child having six fingers on each hand. The fingers were united together. In the thumb [? both] there were three phalanges and the length of the thumb was as great as that of the "other fingers." Dubois, Arch, gener. de Med., 1826, Ann. iv. T. xi. p. 148 ; this case is quoted by Geoffroy St Hilaire, Hist, des Anom., i. p. 227, Note. [? Condition IV.] 491 a. New-born male child having on the right hand two "thumbs" each with three phalanges. Oberteufer, J. G., Stark's Arch. f. Geburtsh., 1801, xv. p. 642. [Con- dition IV.] (No more cases known to me.) CHAP. XIII.] DOUBLE-HAND. 331 B\ 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 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, natter, 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. - This is the case reported by Jackson, to Bost. Soc. of Med. Imp., 1852. 332 MERISTIC VARIATION. [part i. referred to which meets a similar one from the normal ulna [Fig. 89, II]. On the front of this there is a small articular surface looking forward which suggests a part of the convexity of the head of the radius. The upper articular surface shews a fissure separating it from the side of the olecranon which is not found in the normal ulna. These projections which touch each other are held together by a strong interosseous liga- ment. The 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 by sawing off the greater part of the external condyle and applying in place of it the internal condyle of a right 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 (p1 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 •$m? GDSD Fig. 92. Diagram of the carpal bones in the left hand of No. 492 from the dorsal surface. pin1, cu1, u1, m1, pisiform, cuneiform, unciform and magnum of the external or normal half of the hand consisting of four fingers ; pis2, cu2, u2, m2, the similar bones for the internal group of three fingers. lu}+2, the compounded lunar elements corresponding to the two groups, .r, bone placed as trapezoid. (After Dwight.) the second row is an unciform bearing the middle and ring fingers. Next came two ossa magna very symmetrically placed, each bearing the metacarpal of a medius. Between these is a bone which Dwight states i CHAP, xiii.] DOUBLE-HAND. 333 to have clearly represented the trapezoid of the left hand, bearing an index finger. The metacarpals and phalanges needed no description. The muscles are described in detail [9. v.]. 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. "The 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 runnina: 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 MERISTIC VARIATION. [part i. supplied the side of the ring finger left unprovided for, but this is uncertain. Assuming this to have been the case, each ulnar nerve supplies the palmar surface of one finger and a half, the median supply- ing the remaining fingers of both hands. Unfortunately no dorsal branches except those mentioned have been preserved." Dwight, T., Mem. Boston Soc. of K H., 1892, Vol. iv. No. x. p. 473, Pis. xliii and xliv. [This is a case of high significance. We shall come back to it hereafter. Meanwhile it will be noted that in it we meet again the old difficulty 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. If we try to pass behind this, to seek an inner and faster meaning for these conceptions of the mind, we are attempting that for which Nature gives no warrant : we are casting off from the phenomenal, from the things which appear, and we set forth into the waste of metaphysic] 493. Boy having abnormalities in the left hand as follows. The four outer fingers 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- sembling the annularis and minimus of a rigid hand. Struthers, Edin. Netv Phil. Jour., 1863 (2), p. 90, PI. n. fig. 5. [Not representing any of the Conditions.] 494. Male infant, one year and five 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 fingers 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 way. The radial group probably formed joints with more than 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." Ballantyne, J. W., Edin. Med. Jour., 1893, cdli. p. 623, fig. [Possibly this condition approached to that found in the last cases.] CHAP. XIII.] DOUBLE-HAND. 335 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 humerus 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 Murray.) 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 " ringers (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 MERISTIC 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 extended, 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. Murray, J. Jardine, Med. Chir. Trans., 1863, xlvi. p. 29, PL n. 496. Female child, five weeks, having a hand of eight digits on the right side (Fig. 94). The digits were disposed in two groups of four in each. [No further -*—•"'* Fig. 94. Right hand of No. 496. (After Giraldes.) description.] Giraldes, Bull. soc. de Chirurg., Paris, 1866, Ser. 2, vi. p. 505, fig. The same case referred to again, Giraldes, Mai. Chir. des Enfants, 1869, p. 42, fig. 497. 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 Med. Milano, 1871, vol. ccxvi. p. 305, fig. Girl's right hand having eight fingers, represented in a wax model. Langalli, La scienza e lapratica, 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 d4), and the length of the digits on either side of them diminished regularly. The appear- ance was as 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 digits could be flexed and extended. The digit ds 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. Fig. 95. Dorsal and palmar aspects of the left hand of No. 498. are numbered from the inside. (After Jolly.) The digits I 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, Internal. Beitr. z. wiss. Med., 1891. 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. Gherini, A., Gaz. med. ital.-lombard., 1874, Xo. 51, p. 401, figs. B. 22 338 MERISTIC VARIATION. [part I. Complex and irregular cases of Polydactylism associated with Change of Symmetry. *500. Man (examined alive) having abnormalities in the digits of hands and feet (Fig. 96). The case is very briefly and inadequately described, but the condition was apparently as follows. Right hand. Beginning from the ulnar side, there were three normal digits (6, 5, 4). Beyond the third of these, which must be 3 V ^SICMII tV-6 Fig. 96. Hands and feet of No. 500. (After Kuhnt.) . chap, xiil] COMPLEX POLYDACTYLISM : MAX. 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 Windle and Rijkebiisch in the fact that both the digits internal to the medius (m) were disposed as though they belonged to a left hand, and Kuhnt, 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 Kuhnt considers them to have been. [This hand is perhaps in Condition II.] Right foot. The hallux (2, 3) was of abnormal width and its bones were to some extent double, the ungual phalanx being completely so. [The nail however is drawn as a single structure and the double character of the toe was not apparent in its external appearance.] On the internal (tibial) side of the hallux there were two supernumerary toes (1, 1) having, so far as could be ascertained, a single metatarsus. The number of phalanges in these toes is not distinctly stated. Left foot. The hallux (3, 4) was to some extent double, like that of the right foot. Internally to it were two supernumerary toes (1, 2) having apparently a common metatarsal. [Of these the most internal is represented as being very wide and resembling a hallux, but this feature is not mentioned in the description and the number of phalanges is not given]. [It is greatly to be regretted that no fuller account of this important case is accessible. According to Kuhnt's view each hand and each foot were structurally composed of parts of a complementary pair of hands and feet. As regards the hands the facts agree with this description and with what has been seen in other cases, but the condition of the feet is more doubtful, and without more knowledge of the details no opinion can be given. It should be remembered that the original description is very brief and Dr Kuhnt offers an apology for the im- perfection of the figures.] Kuhnt, Virch. Arch. f. path. Anat. u. Phys., lvi. 1872, p. 268, Taf. vi. Case of a foot with eight toes, stated to have resembled Kuhnt's case (No. 501). Ekstein, Prager Wochens., No. 51, 1891. Man whose right arm beside the normal hand bore an extra thumb and finger. The two thumbs were united and had a common meta- carpal joint. They were of equal size. They were flexed and extended together and had the power of spreading apart. The extra finger was beyond the extra thumb and was shaped like an index. Besides the radius and ulna of the normal arm there was an extra radius on the outer [] internal] side of the normal radius. This bone had a joint of its own at its elbow. The wrist was broad, suggesting the presence of additional bones. Nothing is said of a metacarpal bone for the new index. Carre, Seance publ. de la soc. roy. de Jfed., Chir. et Pharm. de oo o 340 MERISTIC VARIATION. [part i. Toulouse, 1838, p. 28. [Not seen by me. Abstract taken from Dwight, I.e., vide No. 492. Cp. p. 326, Note.] 503. Girl, new-bom, having the left foot "double," bearing eleven toes. The left labium majus was twice as large as the right, and the left leg and thigh were much thinner than the corresponding parts on the right side [measurements given]. The extra parts were all on the plantar side of a foot which had toes of nearly normal shapes and sizes. This foot was bent into a position of extreme talipes equino-varus, and the great toe was bent so that it pointed inwards at right angles to the metatarsal. Upon the plantar side of this foot there was a series of six well- formed, small toes, arranged in a series pai*allel to that of the 'normal' five, and having their plantar surfaces in opposition to those of the 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 fifth and sixth being shorter, as are the external toes of a normal foot. None of the toes were webbed. Bull, G. J., Boston Med. and Surg. Jour. 1875, xcm. p. 293, fig. [This figure copied by Ahlfeld, Missb. d. Menschen, PI. xx. fig. 2.] [The case described by Grandin, Amer. Jour, of Obstetrics, 1887, xx. p. 425, Jig., 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 corresponding with that of tbe 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 Terato- logical Series (1872) in the Mus. Coll. Surg. (Hunterian 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 more 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 may be preferred. In general terms it may be stated that the ventral or pubic border of the girdle and the internal (tibial) 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 structures, whose true nature is somewhat uncertain. The appearances 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 that 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 : MctCCtCUS. 341 second hallux not being represented, 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 vertebras 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 h'- -3* Li- s- as . fib1 navE ,cb Fig. 97. Macacus, No. 504, left leg. C. S. M. 307. ft1, head by which femur articulates. h2, 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. nav2, supposed second navicular, c1 — c6, six cuneiform bones, c3, the ecto-cuneiform of " anterior" foot, cb, cuboid. m 342 MERISTIC VARIATION. [part I. lacks the external (fibular) parts of a tarsus, viz. the cuboid and calcaneum. There is a cuboid, cb, and a calcaneum, c, for the " posterior " foot, but none for the " anterior." The bone c3 might of course be called a cuboid ; but if this is a cuboid there is no ecto-cuneiform for the anterior foot. The account given in the Catalogue avoids these difficulties by the statement that each foot has three cuneiforms and a cuboid, declaring that there is a second cuboid between the two sets of cuneiforms. This is nevertheless incorrect, for the whole distal series in the tarsus contains only seven bones and not eight. The mistake has no doubt arisen by counting cs twice over. The Catalogue is also in error in neglecting the fact that the tarsal articulation of the digit 2 is quite abnormal. Similarly in the crus, there is no good reason to affirm that the bone fib1 is a fibula rather than a tibia. The Catalogue regards it as a second 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 (fibular) border of the foot there is a nearly normal series of three digits, 9, 8, 7, fashioned as V, IV and III S1 f* I II Fig. 98. I. Innominate bone of Macacus, No. 504. i1, p, is1, t1, of1, ilium, pubis, ischium, ischial tuberosity and obturator foramen of the supposed anterior part of the girdle; the parts marked 2 being the corresponding structures of the supposed posterior part. II. Details of tarsus of the same. Digits numbered 1 — 9 from the inside. A, astragalus, c, calcaneum. " posterior " foot, cb, cuboid. n1, navicular of "anterior" foot. n'J, navicular of c3 — c6, six bones placed as cuneiforms. chap, xni.] polydactyle foot : Macacos. 343 respectively, the V and the IV articulating with the cuboid (cb) and the III with an external cuneiform, c6, 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, c°, but it bears a digit of the length suited to an annularis. Internal to this are two tarsal bones of the distal row, c" 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, c6, 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, fib1, which is tendinous in its upper part. External to this, articulating with the external condyle of the femur there is a third bone, fib2, 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 MEMSTIC VARIATION. [part i. ternal condyle is thus much larger than that of the normal femur, but there is in it only a very slight suggestion of a division into two parts. The innominate bone has an ilium which anteriorly is normal, but which posteriorly enlarges and to some extent divides into two parts, i1 and i2. Of these the ventral part, i\ unites with a nearly normal pubis, p, and bounds the shallow acetabulum with which the femur articu- lates. The rest of this acetabulum is made up by the ischium, is1, 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, i2, 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 foi'amen, of2. In so far as the foregoing description involves conceptions of homology it is merely suggestive, but the structure of the innomi- nate bone leaves little doubt that the nature of the parts is much as here described. Nevertheless the appearance of the digits 5 and 6 and 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 if 5 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, III, II, [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. Rueff, De conceptu, Frankfurt, 1587, PI. 41 ; Aldro- vandi, Blonstr. Hist., 1642, p. 495; Kerckring, Obs. anat., Arnst. 1670, Obs. xx. PL, but the descriptions are scarcely such as to be useful for our purpose. A case quoted by Dwight, Mem. Bost. Soc.of N. H., iv. No. x. p. 474, from du Cauroi, Jour, des Scavans, 1696, pub. 1697, p. 81 [originally quoted by Morand 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. From 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 fibular) parts 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 the great majority, there is no manifest change in the general symmetry of the limb. chap, xin.] DIGITS : MAX. 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,\#uW. 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 hallux. (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 metacarpal 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. j Extra digit hanging from minimus by a peduncle. Manus. Annandale, Diseases of Fingers and Toes, 1S65, p. 30, PL n. fig. 20; Tarnier, Bull. Soc. de Chir , Paris, vi., 1866, p. 487; and numerous other examples. Pes. Bcsch, quoted by Gruber, I.e., p. 470: this form in the pes is rare. 346 MERISTIC VARIATION, [part I. 506. Extra digit arising from one of the phalanges of minimus. Annandale, I.e.; Otto, Monstr. sexc. Descr., Taf. xxv. fig. 7; Cramer, Wochens. f. d. ges. Heilkunde, 1834, No. 51, p. 809; Gaillard, Gaz. med., 1862. This form seems to be comparatively scarce. 507. Extra digit arising from metacarpus or inetatarsus of minimus. The great majority of cases are of this nature but exhibit many differences of degree. The articulation may be on the side of the metacarpus V (see Moraxd. Mem. Ac. Sci. Paris, 1770, p. 142, fig. 4; Coll, Surg. Mus., Catal. Teratol. Ser., 1872, No. 308, and numerous otber cases), or of the metatarsus V (see Grueer, 1. c., p. 476, Note 28) but in the pes this is less common. Frequently also the articulation of the extra digit is on the head of the metacarpus V (Gaillard, I. c.) or metatarsus V (Mus. Coll. Surg., Terat. Ser., No. 310). In the foregoing cases the extra digit articulates immediately with the side or head of metacarpal or metatarsal, but sometimes in the manus and often in the pes the digit articulates at the end of a branch given off by the metacarpus (Morand, ibid., fig. 3, and numerous other records), or by the metatarsus (Morand, I, c; Struthers, Edin. Neiv Phil, Jour., 1863 (2), p. 89; Meckel, J. F., Handb. d. path. Anat,, ii. Abth. 1, p. 36, and many more. *kqq Hylobates leuciscus (Fig. 99) having an extra digit in the left manus arti- culating externally with the metacarpus V aud in the right manus articulating with a branch from it. Mus. Coll. Surg., Teratol, Ser., No. 307, A. Fig. 99. Hylobates leucisctts, No. 508, minimus of right and left manus bearing a supernumerary digit articulating with the metacarpals. (From specimen in Coll. Surg. Mus.) (b) Complete digit having metacarpus or metatarsus external to minimus. Extra digits external to the minimus are occasionally complete, having a metacarpal or metatarsal and three phalanges, standing truly in series with the other digits, but to judge from the records this complete form is decidedly rare. In the first of the following examples given it should be noted that the digit standing fifth, CHAP. XIII.] DIGITS : 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 Moraxd's case the interesting fact of the partial assumption by the sixth digit of anatomical characters proper to the minimus is commended to the attention of the reader. 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 meta- 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. B£ranger, Bull . Soc. cTAnthrop., Paris, 1887, Ser. 3, x. p. 600. 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 : unciform 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 on the external R L Fig. 100. Palmar views of the bones of the hands of No. (After Otto and Moband.) 510. 348 MERISTIC VARIATION. [part i surface an articulation for a short digit of three phalanges, the second and third being very small. Feet : well formed ; cuboid of size greater than the normal, bearing the proximal end of two united fifth and sixth metatarsals. Each of these is separate peripherally and bears a digit [of 3 phalanges to judge from the figure (tig. 6j] in series with the normal toes, but shorter than the minimus. Muscles. In the left hand the sixth digit was fully supplied with muscles. 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 right hand the extensor communis gave a tendon to the sixth, which also possessed a proper abductor, but the fifth had no special extensor. Of the flexors the sublimis gave a tendon to each of the digits 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 flexor 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. Morand1, Mem. de VAcad. Roy. des Sri., 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 right hand, judging from the bones, it may seem evident that the fifth with its complete metacarpal is the minimus and that the sixth is a 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, if 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 minimus on the contrary is without these characters. Hence neither digit is the minimus. Just as in the Condition III (see p. 326) 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 descriptions and figures given by Otto, I.e., PI. xxv. figs. 9 — 11, Seerig, ijb. angeb. Verwachs. d. Finger u. Zehen, Ammon, Die angeb. Kr. d. Mensch., all refer, I believe, to this one original case of Morand s, though the fact is not stated and though several authors (Gbuber, &c.) quote them as separate cases. Seerig states that his figures are from preparations in the Breslau Museum. These figures agree exactly with those of Otto, which again agree closely with those of Morand but give more detail as to the carpi, taken no doubt from the actual specimens which had been acquired by the Breslau collection. I have therefore copied Otto's figures, though taking the important descriptions from Morand. chap, xiii.] DOUBLE-THUMBS : MAN. 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 in this position see Auvard, Arch, de Tocoloqie, xv. 1888, p. 633; Marsh, Lancet, 1889 (2), 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. Simia satyrus (Orang-utan), having a rudimentary extra digit arising from the internal side of the minimus of each hand: feet normal. In the left manus the minimus has all joints moveable 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, Verh. naturw. Ver. Hamburg, 1879, N. F. in. p. 119. 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 light 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 Gruber, I. c, p. 471, note 83, as being in the Vienna Museum of Anatomy.] 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, quoted by Fort, I.e., p. 66. 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. Hennig, Sitzb. natnrf. Ges. Leipzig, 1888. Oct. 9. [Ammon (Die angeb. Krankh. d. Mensch. p. 101, PI. xxn. fig. 7) describes a case of rudimentary finger appended to the "ring-finger" and is so quoted by Gruber; but the figure apparently represents the appendage as attached to the minimus.] (2) Dtiplication1 of single Digits, especially of the Pollex and Hallux. f$' Duplication of the pollex or of the hallux is one of the commonest forms of polydactylism 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 No. 521. 350 MERISTIC VARIATION. [part I. pollex. But in a large majority of cases of the presence of an extra digit on the radial side, the thumb has two phalanges as usual. Upon a review of the evidence it is I think clear that we shall be right in considering that in most of these cases the extra digit is not really in Succession to the thumb, but that the two radial digits together repre- sent the thumb, the increase in number being achieved by duplication and not by successive addition. Most authors (Gruber, &c.) thus speak of these formations as "double-thumbs" and recognize them as examples of duplicity, but it should be remembered that this view of their nature is not consistent with any statement that either of the two digits is the extra one. If these thumbs are instances of duplicity then both together represent the normally single thumb. In clear cases of double- thumb the two thumbs are equal or nearly equal in size and development, as commonly happens in cases of true duplicity. Double-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 (Otto, Monstr. sexc. Deserip., Taf. xxv. fig. 1; Birnbaum, Monatsschr. f. Geburtsk., 1860, xvi. p. 467); or it may include both first and second phalanges (Gruber, Arch. f. path. Anat. Phys., xxxn. 1865, p. 223); or both phalanges and the greater part of the metacarpal (Gaillard, Mem. Soc. cle biol., 1861, p. 325); or even the whole digit and meta- carpus, the two thumbs separately articulating with the trapezium (Joseph, quoted by Gruber, I. c, p. 463, Note 37). It would be interesting to know which of these conditions is the most frequent, for it is likely that between the degrees of this variation there is Dis- continuity, but the point is not easy to determine. As regards records the conditions first and last named are much the rarest, and the double- thumbs witli two sets of phalanges articulating with one metacarpal constitute the majority of cases. Sometimes the two thumbs are webbed together (Gruber, Bull. Ac. Set. Pet. xv. p. 480, fig.) sometimes they are separate and may be Fig. 101. Right baud having a thumb double from the metacarpus, shewing the relationship of images between the two thumbs. (After Annakdale.) i 14. CHAP. XIII.] DOUBLE-THUMBS : MAN. 351 opposed to each other (Fackenheim, Jen. Zts., xxn. p. 358, fig. iv. ; Annandale, Diseases of Fingers and Toes, PI. m. fig. 25). This con- dition is important as an indication that between these double-thumbs there may be a relation of images (Fig. 101). The duplicity may be and often is very different in degree in the two hands, though it is very commonly present in both. The description given of duplicity in the pollex applies equally to the hallux, though of duplicity in the latter perhaps fewer cases are re- corded. Here too the duplicity may be in all degrees of completeness. An example from Axxaxdale (/. c, PL in. fig. 32) is shewn in Fig. 102. Fig. 102. Feet of infant, No. 514, having thumb-like supernumerary digits arising from the metatarsi of the great toes. (After Annandale.) Here a thumb-like extra hallux is borne on the inner side of the meta- tarsal I. Several such cases are known (cp. No. 517). Among the cases called by authors "double-thumb" are a certain number in which the two thumbs are not equally developed, that on the radial side being more rudimentary. In such a case we are entitled to consider the radial thumb as an extra digit formed in Succession to the normal thumb, and not as a double of it. In speaking of other Meristic Series (especially mammae and teeth) we have seen that it is not possible accurately to distinguish between cases of duplicity and cases of change in number of the series by formation of another member in the Succession. This is extremely well seen in digits. For firstly several conditions intermediate between the two are recorded by many authors (e.g. a case in which the radial thumb had two phalanges "ankylosed" together [or rather not completely segmented from each other]. Gruber, I.e., p. 480; cases in which the radial thumb had only one phalanx, ibid., p. 482; Struthers, Edin. New Phil. Jour., 1863 (2), p. 87 ; Botjlian, Rec. de Mem. de Med. milit., 1865, Ser. 3, Sin. p. Q7,Jigs.) ; and besides this there are several examples in which one hand bore a clear pair of double-thumbs, while in the other hand there is an extra radial digit in succession to the normal thumb (e.g. 352 MERISTIC VARIATION. [part i. Fackenheim, I.e., p. 359, fig. iv.). Thus do the two conditions pass into each other, though some cases are clearly cases of duplicity and some are clearly cases of extra digit in Succession1. I know no case of unmistakeable duplicity in any digit but pollex or hallux ; but no doubt a good many cases of extra digit arising from the minimus may be of this nature (e. g. Annandale, PI. in., fig. 28), though it is more likely that the extra digit is in Succession. In digits other than I or V the only case of possible duplicity known to me as occurring in a limb not exhibiting one of the complex conditions of polydactylism, are those of Streng (Vierteljahrsschrift f. prakt. Heilk., xlix. 1856, p. 178; original not seen by me; quoted by Gruber, p. 476), being a case apparently of double medius on one metacarpal ; and of Dusseau, Cat. Mus. Vrolik, No. 518, two terminal phalanges on right 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 the 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 by peduncle to the minimus of each hand. 516. A female member of a polydactyle family [particulars giveu] had au abortive supernumerary finger attached by a peduncle to the little finger of each hand. In the feet the two great toes were each partially double. In the left great toe the individual phalanges could be felt and there were two nails. In the great toe of the right foot the adjacent sets of phalanges were inseparably united by their lateral borders, forming one bone, which was correspondingly broadened. There was only one nail which was notched in the middle of its free border. Muir, J. S., Glasgow Med. Jour., 1884, N. S. xxi. p. 420, Plate. Case of each extremity with double pollex or hallux and rudimentary digit attached to minimus. 517. Female infant having thumb of each hand double, the two sets of bones lying in the same skin and connective tissue. In the right hand the nails and phalanges of each were quite distinct, but it was not certain whether the metacarpals were separate or not. In the left hand the nails were 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 feet 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 flexed 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. Hagenbach, E., Jahrb.f. Kinderheilk., xiv. 1879, p. 234, figs. [Cp. No. 514.] 1 Compare with the largely similar series of phenomena seen in the foot of the Dorking fowl (v. infra). But in it if the two hallucal digits are not a true pair it is most commonly the inner that is the largest, conversely, to the general rule in the extra digits arising from the pollex in Man. chap, xiii.] IRREGULAR POLYDACTYLISM : MAN. 353 Case of double hallux in combination with extra digits on external side. . S. Man in Middlesex Hospital, 1834, having on the right foot two toes articulating with the first metatarsal, 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 Med. Gaz., 1834, April, p. 65, Jiffs. (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 (Morand) 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 i 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. 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 metacarpal 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 tendon which bifurcates and passes to be inserted into the ultimate phalanx of each / 8 y Fig. 103. 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. 427, fig. 520. Male 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 overlay the 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 Blasids supposes, the digits III, IV and V. External to the putative V was another digit of the same size and shape. Blasius, v. Siebold's Jour. f. Geburtsh., 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.] 521. Child having polydactyle hands as follows. In each hand the fingers were webbed to the tips, each 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 sets 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 brothers and sisters had similar hands : father and grandfather had similar hands : mother and grandmother normal. Haeker, J., Lancet, 1865 (2), p. 389, fig. 522. The following are other examples of irregular porydactylisni : Morand, Mem. ' Ac. Sci. Paris, 1770, p. 139, figs. 8 and 9. (The same redescribed from Morand's figure by Delplanqde, Etudes Teratol., n. Douai, 1869, p. 67, PI. v. ; and agaiu by Lavocat, Mem. Ac. Sci. Toulouse, v. 1873, p. 281, PI. i., who takes a different view.) Gruber, Mem. Ac. Sci. Pet., Ser. vn. Tom. n. No. 2 (fig. copied in Bull. Ac. Sci. Pet., xv. 1871, fig. 6, and by Ahlfeld, Missb. d. Mensch., PI. xx. fig. 20). Gruber, Bxdl. Ac. Sci. Pet., xv. 1871, p. 367, figs. 4 and 5. Otto, l.c, PI. xxvi. figs. 8 — 11. Froriep, Neue Notizen, &c, Weimar, No. 67, 1838, iv. p. 8, figs. 4—8 (very brief account of important case, copied by Ahlfeld and others). Du Cauroi, Jour, des Scavans, 1696 (pub. 1697), p. 81 (quoted first by Morand, afterwards wrongly quoted by many writers. Dwight, Mem. Bost. N. H. S., iv. chap, xiii.] 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 and two adjacent annu- lares were united, the digits being all in one plane). Popham, Dubl. Quart. J. of Med. Sci., xliv. 1867, p. 481. Dusseau, Cat. Mus. Vrolik, 1865, p. 457 (very brief, see p. 352). Grandelement, Gaz. des hop., 1861, p. 553. Lisfranc (see Schm. Jahrb., xn. 1836, p. 263). Rorberg, Jour. f. Kinderkr., xxxv. 1860, p. 426. Makjolin, Bull. Soc. de Chir., 1866, Ser. 2, vi. p. 505, Jig. (probably case of double- hand). Annandale, Dis. of Fingers and Toes, 1865, p. 39 (eight metatarsals on a foot possibly associated with change of Symmetiw). 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. Heynolp, Virch. Arch., 1878, lxxii. p. 502, PL vn. Mason, F., Trans. Path. Soc, 1879, xxx. p. 583 (foot having eight metatarsals and nine digits). Melde, R., Anat. Vnters. eines Kindes mit beiders. Defekt d. Tibia u. Poly- dactylie an Hiinden u. Fiissen, Inaug. Diss., Marburg, 1892 (important). 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, tliere 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. ) 3. , Man 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 metacarpal £ in. long, and one phalanx (1|- in.), the joint between them being loose as if composed of soft tissue. By the length of the metacarpal (3 in.) the index is longer than the other digits. The next two metacarpals have only half that length. The metacarpal of V is 1\ in. long, but from its obliquity does not project so far as that of IV. The proximal phalanx of the index measures If, medius If, annularis 1, minimus \\. The distal phalanx in index and middle f, ring and little | 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 *K? 356 MERISTIC VARIATION. [part I. digits similarly formed, but in the last the feet are also turned in. Struthers, Edin. New Phil. Jour. , 1863 (2), p. 100. As an example of similar and simultaneous Variation in both extremities this is an instructive case. (2) Syndactylism. Under this name have been described those cases in which two or more digits are to a greater or less extent united together. In their bearing on the morphology of Repeated Parts some of these variations are very instructive. It will be found that the impor- tant considerations in this evidence may be divided into two parts. Of these the first concerns the manner of the variation and the second 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 be of normal form but some or all of them may be united by a web of integument for a part or the whole of their length. (For records of such cases see Fort, Annandale, &c). 524. But besides these cases of webbing are many in which the union may be of a much more intimate character. Taking the cases together a progressive series may be arranged shewing every condition, beginning from an imperfect webbing together of the proximal phalanges to the state in which two digits are intimately united even in their bones, and perhaps even to the condition in which two digits are represented by a single digit (see No. 529). That the latter condition represents a phase in this series of variations does not seem to be generally recognized by those who have dealt with the subject but it is impossible to exclude it. The lower conditions of this variation are sufficiently illustrated by Fig. 104, I and II (from Annandale, Diseases of Fingers and Toes, figs. 39 and 33), 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 (Annandale, I. c, p. 14) there were neverthe- less five metacarpals, but the first phalanges of III and IV were united peripherally and bore a second and third phalanx 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. o2o. Pithecia satanas (Monkey) : young male having the third and fourth digits of the hand on each side completely connected by a fold of nude skin. The remain- ing digits of the hands and feet were normal. Forbes, W. A., P. Z. S., 1882, p. 442. 526. 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., Verh. zool. hot. Ge>>. Wien, 1870, xx. p. 1017, Plate. 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 n Fig. 104. Cases of syndactylism. I, II and III. A progressive series illus- trating degrees in the union of rnedius and annularis 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 (Annandale, 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 MERISTIC VARIATION. [part i. the fact that the division of digits in the lowest forms of polydactylism appears also first in the peripheral phalanges. These phenomena appear to be in contradiction to each other, and I am not aware that the fact of the appearance of the digits early in the development of the limb throws any light on the difficulty. The number of digits which may be thus united is not limited to two, and examples of intimate union between three and even four digits are common. The position of union. *527. Those who have treated of this subject do not, so far as I am aware, notice the fact that the phenomenon of Syndactylism most frequently affects particular digits. From an examination of the recorded cases it appears that in the hand there is a considerable preponderance of cases of union between the digits 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 (chiefly those given by Fort and Axsaxdale) over 25 are cases of union of the digits III and IV ' • in only one were the digits I and II united ; the digits II and III in 1 4 cases ; the digits IV and V in 1 3 cases. *528. On the other hand if two digits in the foot are united they are nearly always II and III. If in the hand three digits are joined they may be either III, IV and V, or (perhaps less commonly) II, III and IV. In cases of union of all the digits II to V, the digits III and IV are often much more intimately united than the others, and are often recorded as having a common nail, while II and V have separate nails. This question of the comparative frequency of the different forms of syndactylism would probably repay full investigation, and to the study of the mechanics of Division it would clearly be important. In the meantime may be noted the fact that the evidence suggests the possi- bility that we have here to do with a case of union of parts which are related to each other as optical images, and that the digits II to V of the hand constitute an imperfect Minor Symmetry within themselves. The fact that the subjects of most frequent union in the foot ai'e the digits II and III, not the digits III and IV as in the hand, may be connected with the fact that the hallux stands to the foot in a different geometrical relation from that which the pollex bears to the hand and that consequently the axes of Symmetry are different in it. (3) Absence of digits (Ectrodactylism). 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 metacarpals III and IV the identity of the several digits is still easily recognized. 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 the right and left hands I cannot give exact numbers. chap, xiii.] 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. 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 (c2 + 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, e\ internal cuneiform. c2 + c3, bone apparently representing the middle and external cuneiforms. (After Gruber.) Internal to this is a metatarsal 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.] Gruber, W., Virch. Arch. f. path. Anat. u. Phys., 1869, xlvii. p. 304, PI. VIII. Single digit articulating with the cuboid [probably a case of representation of digits IV and V by one digit]. 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 metatarsal and three phalanges. The bones are perhaps rather more robust than those of a normal fifth digit, but the metatarsal 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. 360 MERISTIC VARIATION. [part i. Reduction of digit IV of pes. *531. [This case is introduced here for comparison with the last.] A left foot having abnormalities as follows. Calcaneum, astragalus, internal cuneiform normal in size and shape. The second cuneiform is rather broader than usual, but the surface which it presents to the internal cuneiform has all the characters of a middle cunei- form. External to 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 appeared that it represented both the cuboid and the ecto-cuneiform. The hallux and digit II have approximately normal relations. The large cuboid-like bone bears externally a metatarsal agreeing in shape with a metatarsal V ; and internal to this the same tarsal bone bears another metatarsal which upon its external side gives 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.] Beennek, A., Virch. Arch. f. path. Anat. u. Phys., 1883, xciv. p. 23, PI. ii. 532. Besides these 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 three or perhaps two digits still preseuts an approach to a symmetry. Examples of this kind are given by Guyot-Daubes (Rev. d'Anthropol., 1888, xvn. p. 541, figs.) and by Fotherby (Brit. Med. Jour., 1886 (1), p. 975 figs. ) 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 Gruber, Virch. Arch. f. path. Anat. u. Phys. 1865, xxxn. p. 211, and that of Geissendorfer, Zur Casuistik d. congen. Radiusdefectes, Munch. 1890. Horse. Variation in the number of digits in the Horse1 has been repeatedly observed from the earliest times. The mode of occur- rence of the change is by no means always the same, but on the contrary several distinct forms of Variation may be recognized. On 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. Cases in which the large metacarpal or metatarsal (III) gives articulation to more than one digit. Besides 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 the fact that in them is exhibited a condition intermediate between those of the other two groups. We have seen repeatedly 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 Jhering (Kosmos, 1884, xiv. p. 99) states that he believes polydactyle horses to be much more common in S. America than in Europe, and that most persons who have travelled 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, xiii.] 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 mammas 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) Tivo 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 from 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. 362 MERISTIC VARIATION. [part i. Fore foot '533. Horse of common breed, having a supernumerary digit on the inner side of the right fore foot (Fig. 106). 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. 31, magnum, sc, scaphoid, w, unci- form. t~, trapezoid, ^.supernumerary bone not found in normal, represent- ing trapezium. IV, the metacarpal re- presenting digit IV. Ill and II, meta- carpals bearing those digits respec- tively. (After Arloing.) Carpus consisted of eight bones, instead of seven as usual. Scaphoid much larger than normal ; lunar, cuneiform and pisiform normal. In the lower row the magnum and unciform have normal relations, but in the place of the normally single trapezoid are two bones, one anterior {f), the other posterior (t1). These together bear the enlarged inner metacarpal (II). The posterior of these bones had a short pyramidal process lying beside the inner meta- carpal. This process was partially constricted off and is regarded by chap, xiii.] DIGITS : 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 wras fused with the large metacarpal (III) and above is united to it by ligamentous 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 wras flattened on the side adjacent to the enlarged metacarpal II. The muscles, nerves and vessels are fully described (q.v.). Arloing, M. S., Ann. Sci. Nat, Zool, Ser. V. T. vm. pp. 61—67, PI. 54. Foal having two toes on each fore foot. The father and mother of this foal were both of the "variete chevaline 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. Cornevin, Nouveaux cas de didactylie chez le cheval, Lyons (1882?). [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. hi, Jig. 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 tarsus of a polydactyle horse have been ascertained. In it, as will be seen, the digit II was not fully developed. 5; i. 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 "twro 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 shewn in the figure. The right hind foot was similar to the left but it is stated that the "three small cuneiform 364 MERISTIC VARIATION. [part I. bones" were separate1, as shewn in Fig. 107 C. The fore feet of the same animal were in the condition described in (1) b. [See No. 537.] Marsh, O. C, Am. Jour. ScL, xliii. 1892, pp. 340 and 345. A B as Fig. 107. Limb bones of a polydactyle horse. A. Left fore foot. No. 537. B. Left hind foot. No. 535. C. Tarsus of right hind foot from the inside. No. 535. n, navicular, cb, cuboid, 4, ecto-cuneiform. 1, 2, 3, three bones placed cuneiforms, td, trapezoid, tm, trapezium, u, unciform, m, magnum. I, II, III, IV, numerals affixed to the metacarpals on the hypothesis that these are their homologies. Cp. Fig. 108, which is lettered on a different hypothesis. (After Marsh.) b. Four metacarpals. This condition is a higher manifestation of the variation seen in the cases just given. In No. 533 the digit II was developed and in addition the trapezium had appeared ; in the cases now to be 1 Marsh introduces this case in support of a contention that these variations are of the nature of Keversion. Upon the same page appears the statement that "in every specimen examined, where the carpal or tarsal series of bones were preserved and open to inspection, the extra digits were supported in the usual manner," I. c, p. 345 : this assertion is hardly in agreement with the previously stated fact that the metatarsal II is supported by two cuneiform bones. On p. 349 Marsh comments on the presence of five bones in the distal row of the tarsus, and from the expres- sions used it is implied that five such bones had been met with in other polydactyle hind feet. A number of alternative explanations are proposed ; (1) that the five tarsals correspond "to those of the reptilian foot"; (2) that the first may be a " sesamoid " ; (3) that the first may be a remnant of the first metatarsal, for such a rudiment " apparently exists in some fossil horses." With conjectures of this class morphologists are familiar. Into their several merits it is impossible to inquire, but it may be mentioned that the real difficulty is not the presence of the cuneiform marked 1, but the fact tbat the tarsal element of the digit II seems to have been double, and that the digits in reality are not supported in the usual manner. CHAP. XIII.] DIGITS : HORSE. 365 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 parts 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. Gatal. 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, Fig. 108. Eight fore foot of Horse No. 536 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. M, 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. 366 MERISTIC VARIATION. [part i. lettered on the other and in the case of polydactyle horses, more usual method. *536. Horse : right manus with extra digit (Fig. 108). The distal row of the carpus is present. It consists of four bones, the unci- form, magnum and two other bones. Of these that lettered T on the view of the Catalogue must be supposed to be the normal trapezoid, while ac is considered to be an intercalated bone, perhaps an additional os magnum. The unciform bears a splint-bone, namely mcp. IV. The magnum bears a fully-formed mcp. and digit III. With the bone ac articulates a large and substantial metacarpal with a digit of three phalanges and a hoof, while the bone T bears another splint-bone, marked II in the figure on the hypothesis that the digit ac is not to be reckoned. Cat. Mus. Coll. Surg., Terat. Series, 1872, No. 304. As mentioned above, it would be more consistent with fact to count the bone ac as trapezoid with mcp. II and the bone T as trapezium with mcp. I. 537. 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. Marsh, Am, Jour. Sci., xliii. 1892, p. 340, Jigs. 3, 6, and 8. 538. Foal having right manus closely resembling the above, the other limbs being 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 central end but was free from it peripherally. Wehenkel, J. M., La Polydactylie chez les Solipedes, from the Journal de la soc. r. des sci. med. et nat. de Bruxelles, 1872, fig. 2. Probably the feet of a large number of polydactyle horses would be found to be in this condition if examined. Marsh, I.e., mentions three other cases known to him in Yale Museum. c. Five metacarpals. 539. Horse having Jive metacarpals and one supernumerary digit in the left manus, and four metacarpals with a similar supernumerary digit in the right manus. In the left manus with the trapezoid there articulated a well- developed metacarpal II bearing the extra digit. Internal to this was a trapezium bearing a splint-bone, 6 cm. long, 15 wide at proximal end, representing metacarpal I [as in Section (1) b] coalescing peripherally with III. On the external side of III the splint-bone IV was present as usual. The case is remarkable from the fact that external to the metacarpal IV there was another rudimentary metacarpal, presumably representing V. This bone was distinctly separated from IV at the central end, but was for the most part united with it. Putz, Deut. Ztschr. f. Thierm., 1889, XV. p. 224, figs. [The figures illustrating this paper are carefully drawn. The representation of mcp. I is quite clear, but the condition of the mcp. V cannot be well seen, as the whole foot is represented with its ligaments, &c, which partly conceal the structure. The whole account is very minute and gives confidence in the statements.] *s- CHAP. XIII.] DIGITS : HORSE. 367 The right manus of the same animal came into the possession of the University of Graz and was described independently. In it also the metacarpal II was developed and bore a well-formed digit. There was also a rudimentary metacarpal I beside it, having a length of 5 7 cm., and a breadth of l'o cm. at the central end. [The description is brief and makes no mention of a mcp. V : further account promised.] Mojsisovics, Anat. Anz., 1889, iv. p. 255. (2) Two digits, one being formed by development of the digit IV. Cases of this variation are ex- ceedingly rare. No. 540 is the only instance known to me in which a proper account exists. Most writers on the subject make a general state- ment that such cases exist, but give no references. Horse, having a supernumerary digit on the outside of each fore foot. (Fig. 109.) The animal was from Bagdad. The outer rudimentary metacarpal (IV) was well formed and of nearly even thickness throughout its length. It bore a digit of three phalanges and a well-formed hoof. The hoof was elongated and is de- scribed as being shaped like the hoof of a cloven-footed animal. [The de- scription is very imperfect, but two good figures are given, from which it may be gathered that the inner metacarpal (II) was somewhat more developed than in an ordinary horse; and it appears that both the inner and outer metacarpals were separate throughout their course, but whether they could be detached from the large metacarpal or were ankylosed with it is not stated. The carpal bones are not described, but the figure suggests that the unciform was larger than it normally is. It is not stated that the two feet were alike in details. The large hoof (III) is represented as of the normal shape.] Wood - Mason, J., Proc. Asiat. Soc. Bengal, 1871, p. 18, Plate. Fig. 109. Right fore foot of Horse, No. 540, the external metacarpal (IV being developed, bearing a digit. (After Wood-Mason.) 368 MERISTIC VARIATION. [part i. Wehenkel, I. c, p. 15, mentions a similar specimen in the Museum of the Veterinary School at Berlin described by Guelt, Mag. f. gesam. Thierh., 1870, p. 297 [not seen, W. B.]. (3) Three digits [1 the digits II and IV being both developed]. Examples of this variation are alluded to by many authors but I know of no anatomical description. The following are all very im- perfectly described. 541. Foal (foetus): left manus having three sub-equal digits; right manus two digits and rudiments of a third more developed than usual. Hind feet normal. Geoffroy St Hilaire, Ann. Sci. Nat., xi. 1827, p. 224. Similar case, Bredin, Froriep's JVotizen, xvm. p. 202. 542. Horse from Texas, having extra digit on inside of each manus, and an extra digit both on the outside and on the inside of each pes [external view only]. Marsh, Am. Jour. Sci., xliii. 1892, p. 344, fig.". 543. Horse with both splint-bones bearing digits in each foot. Franck, Handb. d. Anat., Stuttg., 1883, p. 228. (4) Tico digits ; the digits II and IV both developed, III aborted wholly or in part. Mention of these cases must be made in illustration of the possibilities of Meristic Variation, but the parts were in all three instances so misshapen tbat the animals could not have walked. 544. Foal having two toes on each foot, the developed toes belonging to the metacar- pals and metatarsals II and IV, while the normally large III was not developed at all in the fore feet and was in the hind feet represented by a wedge of bone only. Hind feet. Left. Bones of leg and tarsus said to have been normal. Metatarsal III represented by a wedge of bone fixed between the greatly developed metatarsals II and IV. The wedge-like bone 5 cm. wide at upper end, having usual tarsal rela- tions. Its length about the same as its width. Laterally it is united to the metatarsals II and IV which curved round it till they met, and then curve away from each other again. Each was about 20 cm. long and bears a misshapen digit consisting of a proximal phalanx and a hoof-bearing distal phalanx. A small nodule of bone attached to the proximal phalanx may or may not represent part of a middle phalanx. Eight. Very similar to left, but the wedge-like III was rather broader — [for details see original]. Forefeet. More misshapen and less symmetrical than hind feet: metacarpal III not developed at all. The metacarpals II and IV curved towards each other and crossed, giving an unnatural appearance to the feet. Right foot. Cuneiform and lunar united, and upon the surface of the bone formed by their union there was a groove occupied by two parts of the tendon of the anterior extensor metacarpi passing to mcp. II and IV respectively. Pisiform and scaphoid normal [this is not clear from the figure]. Magnum absent. Unciform and trapezoid abnormal only in respect of their relations, for whereas they should articulate with the magnum they do not do so, for both magnum and mcp. Ill are not represented. Metacarpal II was 11 cm. long, mcp. IV being 19 cm. long. Each bore a digit with a hoof; the digit IV having a proximal and a distal phalanx connected by a fibrous cord instead of a middle phalanx. The digit II had a rudimentary distal phalanx only. Left foot like the right, but with the mcp. and digit II more fully developed. [Muscles fully described. It may perhaps be thought that there is not sufficient proof that the developed digits are actually those normally represented by the splint-bones II and IV, but the condition of the hind feet is practically conclusive that this is the right interpretation.] Wehenkel, La Polydactylie chez les Solipedes, from -/. de la soc. r. des sci. vied, de Bruxelles, 1872, Plate. 545. Foal, in which the right anterior leg possessed two metacarpals and digits. The radius, ulna and proximal series of carpal bones were normal. In the distal series only two bones were present, viz., an inner bone corresponding to the trapezoid, and a magnum. There was no separate bone corresponding to the CHAP. XIII.] DIVISION OF DIGIT : HORSE. 369 unciform, but in its stead, the head of the outer metacarpal was continued upwards to articulate with the cuneiform. Between the heads of the two metacarpals was an irregularly quadrate bone which articulated with the magnum in the place where the large metacarpal (III) should be. This bone however only extended a little way, articulating at its outer end with a notch in the external metacarpal. [This is the author's view, but the figure strongly suggests that this quadrate bone may have been originally in connexion with the external metacarpal and that it may have been separated from it by fracture. If this were so, the large metacarpal would then not be represented by a separate bone at all.] The outer metacarpal distally bore three phalanges of irregular shape, Hexed backwards and outwards. The inner metacarpal articulated solely with the trapezoid. Peripherally it bore a callosity which was due to the healing of a fracture. The phalanges of the inner metacarpal were three, but the first was reduced in length, while the second was elongated and bent in a sinuous manner. The ungual phalanx of this toe was cleft. [The author regards this case as analogous to the foregoing one, No. 544, that is to say, as an instance of development of the normally rudimentary lateral metacarpals to the exclusion of the large one (III), and he considers therefore that the large metacarpal (III) is only represented by the quadrate ossification which lay between the two developed metacarpals.] Ercolani, G. B., Mem. delta Ace. Set. d. Istituto di Bologna, S. 4, T. in. 1881, p. 760, Tav. i.fig. 11. Foal in which the feet were all very abnormal. In the two fore feet the meta- carpal of the normal toe (III) was very little developed, being however somewhat larger on the left side than it was on the right. It bore no digit. The external metacarpal bone (IV) of each fore foot attained a considerable length and bore a small hoof-bone. In the left fore foot the inner metacarpal was present but reduced ; in the right foot it was absent. Right hind foot also had the external metacarpal developed and bearing three small phalanges, but the central metacarpal (III) was fairly developed, bearing however only two phalanges. Left hind foot was amor- phous. Boas, J. E. V., Deut. Ztschr. f. Thiermedecin, vn. pp. 271—275. [For full description, measurements and figures see original.] B. Cases in which metacarpal III gives articulation to MORE THAN ONE DIGIT. These cases are clear examples of the representation of a single digit by two. It will be seen besides that the two resulting digits may stand to each other in the relation of optical images (see Fig. 110) and do not form a Successive Series, thus following the common method of division of structures possessing the property of Bilateral Symmetry in some degree (cp. p. 77). All cases of this variation known to me occurred in the fore limb. Foal : a right fore foot figured from a specimen in. the collection of the Veterinary School of Copenhagen (Fig. 110) has two complete digits articulating with a single normal metacarpal bone. The two digits are symmetrically developed ; each consists of three phalanges and bears a hoof. These two hoofs are well formed wards each other like those of Boas, J. E. Y., Deut. Ztschr. f. vn., p. 277, Taf. xi., fig. 9. Two fore feet of a foal, each being irregularly and unequally bifid. Boas, ibid., figs. 7 and 8. inl and curve to- Artiodactyles. Thiermedecin, Fig. 110. Right fore foot of Horse No. 547. Mcp, peripheral end of metacarpal III. ext, external side, int, internal side. (After Boas.) 24 370 MERISTIC VARIATION. [part I. 549. Filly, two-year old, which had been born with left fore foot cleft like that of the Ox. Each of the two toes had three phalanges, which were completely separate as far up as the rnetacarpo-phalangeal joint. The division externally was carried to the same extent as in the Ox. The lower end of the great metacarpal III felt as if bifurcated like that of the Ox, so as to give separate articular support to the two toes. Upper parts normal. The lesser metacarpals, II and IV, felt through skin, seemed to terminate rather lower down in left foot than in right, but this was uncertain. Animal examined alive. No attempt at shoeing had been made, and hoofs having become elongated forwards had had their points sawn off. The whole foot was much larger or more spread than the other. Struthers, J., Edin. New Phil. Jour., 1863, pp. 279 and 280. *550. Horse: right fore foot having phalanges bifid (Fig. 111). The limb was normal as far as the distal end of the metatarsal, except for some exostoses. The proximal phalanx was short and of great width; in its lower third it divided into two divergent parts, the divergence being more 551 552 marked on the posterior face than on the anterior. Each of these diverging processes bears a complete second and third phalanx. The third phalanges each bear hoofs, which are convex on the outer sides but fit together on the opposed surfaces, the external hoof being slightly concave on its inner face, while the internal is slightly convex. On the plantar surface, each toe bore a half-frog. The two large sesamoids, normally present in the Horse, are in this specimen united along their inner borders to form a single bone, which was placed 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 vill. pp. 67—69, PL 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 (II) had almost completely disappeared. The large metacarpal (III) divided in its peripheral third into two equal cylindrical branches, each of which bore a digit composed of three phalanges and bearing a cresceutic hoof. These two digits were bent across each other in a shapeless way. Delplanque, Mem. Soc. centr. d'Agric. du Dip. du Nord, s. 2, ix. Douai, 1866— 1867, p. 295, PI. HI. Jig. 5. Mule, having two distinct toes on each fore foot. The hoofs were shaped like those of the Ox. They were of unequal length. Joly, Comptes Rendus, 1860, p. 1137. [Perhaps a case belonging to this section.] SlIi 'Ho Fig. 111. Right fore foot of Horse No. 550, from in front. sc, scaphoid, tp, trapezoid. II, III, IV, metacarpals. Ilia, III b, internal and external sets of pha- langes representing the digit III of the normal. (After Arloing.) chap, xiii.] DIGITS OF HORSE '. SPECIAL CASES. 371 C. Intermediate cases. 53, m td H \\ HI ! I IV •t» 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. 112 be compared with those in Figs. 106 and 110 it will be seen that it is really inter- mediate between them. 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. The foregoing case well illustrates the inade- quacy of the view on which an individuality is attributed to members of the digital series. The smaller digit in it is as regards the Sym- Fig. 112. Eight manus of a horse, No. 553, from behind, m, magnum, td, tra- pezoid, it, unciform. (From a specimen in Coll. Surg. Mus.). 24—2 372 MERISTIC VARIATION. [part I. metry of the limb complementary to the larger digit. It is a partial substitute for 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 ends of metacarpals. Each manus consisted of three digits. Right. Metacarpals II and IV normal splint-bones. Metacarpal III normal as far as line of union with its distal epiphysis. The inner part of the sheath of the epiphysis is continued into a rod of fibro-cartilage which supports an extra toe. This rod of cartilage contains a small ossification which represents, 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 between the large metacarpal and its epiphysis, and has three phalangeal joints. The epiphysis 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 also bears 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 metatarsals 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 fibrocartilaginous 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, lateral metatarsal. It bears a cartilaginous second phalanx, Fig. 113. Left fore foot of Mule No. 554. IV, the external splint-bone. Ill, the chief metacarpal. Ilia, III 6, internal and external rudi- mentary digits borne by HI. II, a super- numerary digit at- tached to the inner side of III. (After Joly and Lavocat.) containing a small ossification, which articulates with a terminal (ungual) phalanx covered by a hoof. The distal end of the large metatarsal articulates with I a large first phalanx, which at its proximal end is of normal width. At about its middle point this phalanx bifurcates into two parts, of which the inner, III a, is short and ends a little beyond the point of bifurcation : it bears an ungual 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 ungual phalanx of the outer toe are turned inwards, having an external curved edge and an internal straight edge ; but the two inner toes in each case are turned outwards, having their outer edges straight and their inner edges curved. Joly, A. et Lavocat, N., Mem. de VAc. des Sci. de Tou-\ louse, S. 4, Tome in., 1853, p. 364, Plates. [Authors regard this case as proof of chap, xiil] DIGITS OF HORSE : SPECIAL CASES. 373 truth of certain views of the phylogeny 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 1 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 1 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 Schafzucht, 1880, pp. 137 and 142, figs. 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 claw-like hoof, properly articulating. No splint-bones present. [Other details given : it was suggested that the bent bone re- presented an extra ' metacarpal ' and first and second phalanx.] Von Nathusius, H., Die Schafzucht, 1880, 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. Oes. 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 Sym- metry thus formed 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. *557. 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 W. L. Sclater for examination. Of the carpal bones only the distal row l'emains, containing a trap- ezoido-magnum and unciform not 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 ,-n.f or Fig. 114. Eight fore foot of a Calf, No. 537. I. The whole foot seen from behind. II. The bones from behind. tpM. trapezoido-magnum. 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. >8. 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 376 MERISTIC VARIATION. [part I. series usually consisting of two pieces in the Ox, were here represented by one piece (c and c3), though externally the bone seemed to be in two pieces. The internal portion (c) 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 end was almost normal, but from about its middle it spread 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 Cambridge have reached the ground. Of the three hoofs the middle one was the lai'gest, 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 titan that of a normal digit III, being rather flatter underneath, and having its tivo edges more nearly symmetrical. The accessory hoofs {'•ergots' of French writers) were " in their usual place, on either side of and behind the foot." This speci- men was originally described by Goodman, Ne- ville, Jour. Anat. Phys., 1868, Ser. 2, I. p. 109. The skeleton of the foot is in the University Museum of Pathology. In answer to my inquiries Mr G. Daintree of Chatteris, the owner of this animal, kindly gave me the following information. This cow was bought in 1861 and from her a three- toed strain arose, of which about ten generations were pro- duced. The three-toed condition appeared in both males and females, but no three-toed bull was kept, so that the descent was wholly through females. About two in three calves born of this strain had three toes. In one case only were there three toes on the fore feet. The third toe was never walked on. The breed was got rid of because it was at last represented only by males, the last being sold in 1887. The beasts were as good as any other cattle of the same class. 559. Calf. Left manus having three digits, gener- ally resembling the last case. The external digit is neai'ly normal. The middle digit is very thick, and is somewhat twisted and flexed. Its ungual phalanx is not specially curved in either direction but it is not truly symmetrical. The innermost digit is thin and short and its ungual phalanx is not much curved. In this specimen there is a decided appearance of division in the distal epi- physis of the metacarpal of the middle digit (?III). Coll. Surg. Mus., Terat. Series, No. 300. ac. Fig. 115. Right hind foot of heifer, No. 558. As, astragalus. etc, calcaneuin. c, c3, parts of a large united bone repre- senting cuneiforms. Ill, IV, ac, letters affixed to illustrate the hypothesis that III and IV represent these digits of the normal, and that ac is an accessory digit. chap, xili.] 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 St Hilaiee, Hist, des 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. 560 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. 4, 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 metacarpal 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 phalanx [of ? pyramidal shape]. Delplanque, Etudes Teratol., Douai, 1869, n. p. 83, 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 378 MERISTIC VARIATION. [part i. endowed with individuality be not of universal application, we shall not save it even if by ingenuity we may represent the facts of the present case as in conformity with its conditions. On the other hand it may be suggested that there is a division of some one digit, and undoubtedly in No. 559 there is a sugges- tion that the innermost digit and the central digit are both formed by division of III. But in the first place this view cannot so easily be extended to Nos. 557 and 558, for in them there is practically no indication that the digits 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 III and IV ; but this vessel, if single, must necessarily enter in one or 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 to 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 surely indications that this limb was from the first developed and planned as a series of three digits, and not as a series of two 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 mammse, teeth, &c, the evidence goes to shew that there is no real distinction between the division of one member to form two, and that more fundamental reconstitution of the series seen in No. 557, 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 identity. (2) Limbs with digits in two systems of Minor Symmetry (Double-foot). In dealing with these there are difficulties. The cases are examples of limbs of Calves or Sheep bearing four or five digits arranged in two groups either of two and two, or of two and three. The members of each group curve towards each other in such a way that each group has a separate axis of Symmetry (Figs. 117 and 118). In several such cases the two groups are related to each other as right and left. Of these facts two different views are possible. For first, a limb of this kind may be a structure like the double-hands seen in Man (pp. 331 to 337), for it is certain that an almost completely symmetrical series of parts is in those cases formed by proliferation of a series normally hemi-symmetrical, however unexpected this phenomenon may be. On the other hand it might be argued that one of the groups of digits represents the normal, and that the other group is supernumerary. chap, xiii.] DOUBLE-FOOT : PECORA. 379 For, as will be hereafter shewn at length in the case of Insects, super- numerary appendages may grow out from 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 polymelian 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. 63. 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, PI. I. [The possibility that this may be a limb of a pygomelian is not excluded.] 64. Cervus 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. 55. Two cases, a Roebuck and a Deer, mentioned by Geoffroy St Hilaire (Hist, des Anom., I. p. 697) are probably of this nature. 380 MERISTIC VARIATION. [part I. *566. Fig. 116. Specimen stated by Delplanque to have been the right foot of a Cow (see No. 563). (After Delplaxqde.) Sheep, having four toes, each having three phalanges, on each posterior limb (Fig. 117). In each case the toes were arranged as two pairs, the hoofs of each pair being turned towards each other. Each foot had four united metatarsals, marked off from each other by grooves on the surface of the bone, the division between the metatarsals of each pair of toes being clearly marked at the peripheral ends of the bones. In the case of each foot there were parts of a pair of tarsi arranged in a symmetrical and com- plementary manuer about the middle line of the limb. In each tarsus there was a large bone having the structure of two calcanea, a right and a left, united posteriorly ; the upward prolongation, proper to the calcaneum, was present on each side of this bone and projected upwards on each side of the tibia. The astragalus of each foot was similarly a bone double in form, uniting in itself the parts of a right and left astragalus. The left foot had a single flat bone below the astragalus, representing as it were two naviculars fused together ; and four bones in a distal row, representing presumably two cuboids, and two cuneiform elements. In the right foot also there was a single bone below the astragalus, and four other bones arranged in a way slightly different from that of the other foot. Ercolani, ibid., p. 773, Tav. n. figs. 7 and 8. Fig. 117. Bones of left hind^foot of a Sheep, No. 566 [q.v.] copied from Ercolani. i clc, clc, the two calcanea. a + a2, bone representing the two astragali, n + n2, i the two naviculars, cb, cb, the two cuboids. CHAP. XIII.] DOUBLE-FOOT : PECOKA. 381 [A case given by Eecolani (/. c. , p. 783, Tav. n., figs. 9 and 10) of similar duplicity in a lamb seems to be very possibly a case of double monstrosity. In this animal the hind limbs were altogether absent.] 567. Calf, having five digits on one manus. There is nothing to shew positively whether this specimen is a right or a left, and it is even possible that it is part of a polymelian1. Carpal bones gone. Metacarpals four, disposed in two pairs. One pair bear the digits d4 and d5 (Fig. 116), which have a common proximal joint. Their ungual phalanges curve towards each other, forming a Minor Symmetry like those of a normal Calf. The other two metacarpals bear three dibits ; two (d3 and d2) articulate with one metacarpal having a divided epiphysis. The other metacarpal bears a digit (d1) of full size curving towards d'2. The ungual phalanges of d2 and d3 are nearly straight [cp. Nos. 558 and 559.] C. S. M., Terat. Ser., No. 299. 568. Calf: left hind foot similar case : inner group of tico toes curving towards each other and an outer group of three toes of which the middle one was almost bilaterally symmetrical while the hoofs of the other two were each turned towards it. Five metatarsals united but marked out clearly by grooves. Tarsus much as in No. 566. Ekcolani, I. c, p. 774, Tav. i. fig. 8. 569. Calf: left hind foot a somewhat different case, Dkew, Commercium Litterarium, Nuremberg, 1736, p. 225, Taf. in. fig. 2. [Description meagre, but figure good. Beginning from the inside the five toes turned (1) outwards, (2) outwards, (3) inwards, (1) outwards, (5) inwards, respectively. There were only four metatarsals, (3) and (4) being both borne on one metatarsal.] POLYDACTYLISM IN THE PlG. Fig. 118. Manus of a Calf, No. 567. d\ d\ d3, group of three digits [? internal] ; d4, db, group of two digits [? external]. 570. Of the great numbers of feet of poly- dactyle pigs recorded or preserved in museums all I believe are fore feet. No case of a polydactyle hind foot is known to rae in the pig. All the cases are examples of proliferation upon the internal side of the digital series. With very few exceptions the variation takes one of two forms, consisting either in the presence of a single digit internal to the digit II, or in the presence of two digits, either separate or partially compounded, in this position. A very few cases depart from these conditions2. The condition is very usually the same or nearly the same in both fore feet. One extra digit, internal to digit II. Such a digit may either have a separate bone for its articulation in one or both rows of the carpus (as Ercolani, /. c, PI. i. fig. 3), or it may articulate with a half-separated extension of the trapezoid (as Coll. Surg. Mus., Ter. Ser., 297 ^1), or with the metacarpal or other part of digit II (very common), sometimes simply branching from this digit without an articulation. In no case of which good accounts are to bo 1 The Catalogue gives no indication on these points. 2 For example a 1. fore foot in which the metacarpal of II. bears a rudimentary digit on each side of the digit II, three in all. Eecolani, Mem. Ac. Bol., 1881, PL I, fig. 1. 382 MERISTIC VARIATION. [part i. had does such a digit group itself into the Symmetry of the normal manus ; but it stands apart, or is bent or adducted behind the other digits, having a hoof which is irregularly pyramidal, curving in neither direction especially. Such a digit has generally three phalanges, and is of about the size of digit II, though not rarely it is large in size approaching more nearly to III than to II (as Coll. Surg, Mus., Ter. Ser., 297). Two extra digits internal to digit II, 571. This condition is not less common than the last. The two extra digits are borne either by two separate extra carpal bones (Fig. 119, c\ c2), or by one carpal imperfectly divided (Ercolani, I. c, PI. I., Jig. 6); or the metacarpals of the extra digits simply articulate against the carpo-metacarpal joint of II (as in a specimen in my own possession). The extra digits may be double throughout, or the two may be com- pounded in their proximal parts (Ercolani, I. c, PL i., fig. 5 ; also case in Oxford Mus.1, 1506, a, in which the two extra digits were ill-formed and of unequal size, having a common metacarpal). Fig. 119 shews such a pair of extra digits 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 Meristic Repetition the fact of most importance is the circumstance that the digits III and IV retain their normal Symmetry, but the two Fig. 119. Left manus of a Pig, No. 571. I. View from in front. II. View from inside to shew the convergence of d1 and c/2 towards each other. d1, d2, two extra digits placed internally, c1, c", two extra carpal bones with which they articulate, sc, scaphoid, hi, lunar, cu, cuneiform, t, trapezoid. m, magnum, u, unciform. 72 Wild Boar. Two cases, apparently resembling the foregoing are described, from external examination only, in the wild boar by Geoffkoy St Hilaire, Hist, des Anom., i. p. 696. Syndactylism in Artiodactyla. This phenomenon is known in the Ox and is common in the Pig. In all cases the variation consists in a more or less complete union or absence of division between the digits III and IV. Among the many records of digital variation in the Pig no case relates to union between a lateral and a chief digit, but it is always the two chief digits III and IV that are united. (Compare the case of Man, p. 358.) In this case there is therefore an absence of a division in the middle plane of a bilateral Minor Symmetry, and the parts that remain united are related to each other as optical images. The phenomenon is thus the exact converse of the variation consisting in a division along a plane of bilateral sym- metry which was seen in the Horses Nos. 547 and 550. As was remarked in speaking of similar variations in Man, it is to be noticed that if the union is incomplete, as it commonly is, the peripheral parts are the least divided, the division becoming more marked as the proximal parts are approached. In the normal Sheep according to Rosenberg1 the metacarpals II and V are distinct in the embryonic state, afterwards completely uniting with III and IV. The same is presumably true of the Ox ; but whether this be so or not, the digits II and V are in the normal adult not represented by separate bones in the hind foot, and in the fore foot V only is represented by the rudimentary bone articulating with the unciform. Unusual interest therefore attaches to the observations made by Boas and by Kitt of the development of lateral metacarpals and metatarsals (II and V) in Calves having III and IV united. Note also that in two of Kitt's cases there was not only a development of lateral digits but also indications of a division occurring in them. Besides this, in the right fore foot of one solid-hoofed Pig (No. 585) there is a slight appearance of duplicity in the ungual phalanx of the lateral digit V. On the other hand the reduction of accessory hoofs {ergots) in Landois' case, No. 582, seems to be an example of a contrary phenomenon; for the connexion between the developed lateral metacarpals and metatarsals in Kitt's case (No. 579) must be taken as evidence that the accessory hoofs do really represent II and V. 1 Rosenbekg, A., Z. f. v>, Z., 1873, xxiii. pp. 126—132, figs. 14, &c. 384 MERISTIC VARIATION. [part i. *573. Ox. Young ox having the two digits of the right fore foot completely united together. At the lower extremity of the large double metacarpal (III and IV) of the normal limb a deep cleft is present, which separates the two articular extremities of the bone. In this specimen this cleft 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 original double nature of the bone. At the back of this metacarpal there were only three sesamoids instead of four, and in the central one there was not the slightest trace of duplicity. This sesamoid was placed opposite to the channel above mentioned. The two first phalanges were entirely united, but the vestiges of this fusion could be 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., 1884, Ser. 6, Tome 13, 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 [? 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, Bent. Ztschr. f. Thierm., xn. 1886, Jahresb., 1884—5, p. 62, Case No. III. 575. Calf: each foot having only one hoof. The phalanges, sesamoids, meta- carpals and metatarsals, were all normal and the hoofs alone were united. The cavity of 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 feet were without trace of division. Morot, C., Bull, de la Soc. de tried, vet., 1889, Ser. vn. T. vi. p. 39. Case I. 576. Calf: killed at 10 weeks old. The left fore foot alone was abnormal, having only one hoof. Viewed from without, this hoof was like that of a young ass, but it bore a slight median depression, 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, but a horny ridge was present on the inside in the region of the depression. The two unequal phalanges were peripherally united into a single bone, but were separate centrally, and the two parts were not quite symmetrical [details given]. The other parts were nearly normal. Morot, C, I. c, Case 2. *577. Ox. In a newly-born calf the following abnormalities were seen. In the right fore foot there 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, xiii.] 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, fig*- 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. 78. 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. 79. 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 V, 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 T3 cm. at the proximal end. The metacarpal of the united digits, III and IV, measured 13 cm. in length. The metacarpal V was slightly bifid at its distal extremity, and here presented two articular sui'faces. 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 rochlike 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- b. 25 386 MERISTIC VARIATION. [part I. suiting structure with its hoof was like that of the Horse. The artic- ulations were perfectly mobile. At the metacarpo-phalangeal joint there were two sesamoids only. [With this division in the lateral digits on fusion of III and IV compare Pig, No. 585.] Hind foot. The digits III and IV were united as in the fore feet, but the single hoof was more pointed. The metatarsals II and V were developed. The latter was 12-7 cm. long, and was united to the large metatarsal 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 metatarsus, being cartilaginous and of about the thickness of a goose- quill ; it was connected with the accessory hoof by a ligament only. Kitt, Deut. Z. f Thierm., XII., 1886, Jahresb. 1884-85, p. 59, Case No. I, Jig. f580. Calf. Three of the feet had each one large digit (III ard IV) formed much as in the last case. But in the dried preparation it could be seen that in each of these feet there were four accessory hoofs, and 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 each digit ; but instead of being side by side, they were placed one behind the other, both being encased in a single hoof. Kitt, I.e., p. 61, Case No. II. 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 metacarpal had two articular surfaces in close contact which boi'e a digit in which 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 I nucleus of partly ossified cartilage. Kitt, I.e., p. 63, Case IV. 582. Calf having a 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 (Haarwirbel) indicated the place where it should normally have been de- veloped. In the left foot the accessory hoofs were in the same condition as in the right foot, but the ' turning-point ' was not formed at all. There were no skeletal structures corresponding to the accessory hoofs. The skeleton of left fore foot was prepared. In it the metacarpal was 125 mm. long, having a deep cleft on its anterior face, indicating the line of union of the two metacarpals. The two articular heads, which in a normal animal of the same age are separated from each other by about 5 mm., are in this specimen united by the inner edges of their anterior borders. The proximal phalanges formed a single bone, 32 mm. long. The division between the two bones was visible as a cleft on the anterior surface, in which place the two ossifications were distinctly separated from each other ; on the posterior surface the union between the two is continued for half the length. The second phalanges formed a typically single bone, as did also the distal phalanges which bore the hoof. The foramina for the two nutrient arteries of the two toes remained double and entered the single bone, one on each CHAP. XIII.] SYNDACTYLISM : PIG. 387 )83. side. Landois, H., Verh. d. natitrh. Ver. d. preuss. Rheinl., Bonn, 1881, S. 4, viii. p. 127. Pig. " Solid-hoofed " pigs have been mentioned by many writers from the time of Aristotle. The fact that they have been reported as occurring in many parts of the world makes it likely that the variation has often arisen afresh. The first case (No. 583) is the only instance of complete union of III and IV in the pig that is known to me. The variation is most commonly simultaneous in fore and hind feet. As seen, it occurs in many degrees. Several specimens not separately mentioned below are in the Coll. Surg. Mus. and other collections. A fore foot and a hind foot of the same individual, in which the two chief digits were completely united, viz. represented by a single series of bones. In each case the two chief metacarpals and metatarsals (III and IV) were respectively represented by a single large bone, and with each a single digit of three phalanges articulated. The bones of these digits were straight, and not curved as they are in an ordinary foot in which two toes are present. There was not the slightest trace of duplicity, and the lateral digits wrere placed symmetrically on either side. The sesamoids were two in number Fig. 120. Bones of feet of solid-hoofed Pig, No. 583, from specimens in the Museum at Alfort, described by Babeiee. A. Left manus from in front. B. Left manus from behind. C. Left pes from in front. The numbers II and V indicate the digits so numbered in the normal. 25—2 388 MEMSTIC VARIATION. [part I. instead of four. The carpus and tarsus appear to have also been changed in connexion with this unification of the digits, for in the distal series at least the normal number of bones was not present. [The feet had been cut off across the tarsus and carpus before being received. By kind permission of the authorities at Alfort I examined these specimens and made the sketches in Fig. 118. I could not satisfactorily identify the bones of carpus and tarsus. The proximal parts were covered by a large exostosis.] The extensor of the phalanges ended in three tendons only, and the same was true of the deep and superficial flexors. The central tendon in each case however shewed signs of its double nature. Barrier, Rec. med. vete'r., 1884, Ser. 6, Tom. xm. p. 491. 584 A skeleton of a solid-hoofed pig exists in the Museum of the Royal College of Surgeons of Edinburgh which was presented by Sir Neil Menzies of Rannoch, Perthshire. Inquiries instituted by Struthers (1863) elicited the following facts. " The solid-hoofed pig has been well known and abundant on the estates 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, which died ; and now the solid-hoofed breed appears to be extinct in Rannoch." 585. " Fore 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 I PIG. 389 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 Struthers.) 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. Joum., 1863, pp. 273-279, Jigs. 186. 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 MERISTIC 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. 587]. " It might have been imagined that the deformity was simply the result of an agglutination along the middle line of the two completely-formed digits ; but such is not the case, the nail-structure being absent in the interval, where it is 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." Gaeeod, A. H., Proc. Zool. Soc, 1877, p. 33. 587. Domestic pigs having the two central hoofs compounded into a single solid hoof have been known to occur several times in America. The two other toes remain distinct in these cases. A breed of pigs having this character is said to have been established 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 elevation of horny substance, apex forward, and sides running backward and outward to the lateral borders of the hoof, the whole structure being curiously like the frog of the horse's hoof. In fact it is a frog, though broad, flattened, and somewhat horseshoe-shaped, instead of being narrow, deep and acute as in the actual frog of the horse. This arcuate thickening of the corneous sub- stance occupies about the middle third of the whole plantar surface of the foot." The terminal phalanges are united together, and above this single bone is another independent ossification lying between the second phalanges of the two digits, which remain distinct. [Cp. No. 586.] Coues, Elliott, Bull. U. S. Geol. Geogr. Surv., iv. P- 295, fig. 588. Case resembling the above reported from Sioux City, Iowa, in which these pigs were bred for some time and were advertised for sale, with the statement that they were also of superior quality. Other cases given from different parts of the United States. In one of these it is stated that one hind foot was thus formed [the others being presumably normal]. Auli>, E. O, Amer. Nat., 1889, xxin. p. 447, fig. 589. Tig- In all four feet the digits III and IV partially united and covered by one hoof. The metacarpals and first phalanges were separate in each case but the second and third phalanges of the two digits were united together. The common hoofs were not compressed laterally, as in some of the cases seen in the Calf, and the small digits II and V were unmodified. Kitt, Dent. Zt. f. Thierm., xn. 1886, Jahresb., 1884-85, p. 64, Case TV, figs. POLYDACTYLISM IN BlRDS1. The whole number of cases of Polydactylism recorded in birds generally is small. The phenomena however seen in the Dorking fowl are well worthy of attention and have scarcely been adequately treated. I propose here to give an account of this case, mentioning instances seen in other birds and indicating so far as may be their relation to the facts of the Dorking. Five-toed fowls have been known from very early times. The character is now most definitely associated with the Dorking, though it is also considered necessary in Houdans for show purposes. It is likely that the latter breed derived the fifth toe from the Dorking. Fifth toes may often be seen to occur in other breeds, but I cannot quote a satisfactory record of their appearance in pure strains. In the foot of an ordinary four-toed fowl the hallux articulates with the tarso-metatarsus by a separate metatarsal. The hallux in such a foot most often has two phalanges. In its commonest form the five- toed foot departs from this normal in the fact that the hallucal meta- 1 See also the case of Rissa, p. 396. chap, xiii.] DIGITS: BIRDS. 391 tarsus bears two digits instead of one. The morphological nature of these digits is obscure. Some have judged that one of them is a "prse-hallux ; " Cowper ' sees in the internal toe the true hallux, and argues that the digit commonly called the hallux is really the index ; Howes and Hill2 consider that the normal hallux has split into these two digits. The diversity of these views comes partly from an insuffi- ciency of the area of fact over which the inquiry has been extended, for it will be found that the conditions are very various and shade off imperceptibly in several directions. As in all cases of Meristic Series, the first question relates to the position of these digits in the system of Symmetry of the limb. Are they in a Successive Series with the other digits, or do they balance them 1 Are they in Succession to each other or do they balance each other as images ? Turning to the facts with these considerations in view it will be seen that no general answer can be given, but that the condition is sometimes of the one kind and sometimes of the other. For there are not merely two conditions, a four-toed and a five-toed, but there is a whole series of conditions and according to the cases chosen so may the question be answered. By examining a few score of fowls' feet many sorts may be seen. >90. (1) The most usual five-toed foot is that figured by Cowper (I.e., p. 249), in which the metatarsal of the hallux bears two digits, an outer one of two phalanges and an inner of three phalanges. For pur- poses of description let us call the outer the hallux. In this foot then the hallux is the least digit, and the members of the digital series increase in size on either side of it. 91. (2) But not rarely is found a state like the last save that the inner digit is borne by the proximal phalanx of the hallux. This is very common. The two digits may then be about equal in size, or more often the hallux is the smaller. >92. (3) Hallux more or less perfectly divided into two digits with a common base, having (a) two, or (b) three phalanges (as in Howes' case Fig. 5). This state is practically that of the human "double-thumb" (see p. 350), and, just as in that phenomenon, the duplicity may be of various extent, often affecting only the nail and distal phalanx. Be- tween the two parts of such a double digit there is often that relation as of optical images found in human double-thumb, the curvatures of the two parts being equal and opposite. But if both digits are of good size and are separate up to the metatarsal this equality is rarely if ever found, and one of the digits, generally the innermost, is the larger. In this condition therefore there is a Succession from the hallux to the inner digit just as in (1). So the condition of double-hallux, that is to say the representation of one member of a series by two members in bi- lateral symmetry, shades off imperceptibly into the condition in which a new member is formed in Succession to the terminal member. It should be noted that this case presents a remarkable difference from that seen in the like cases of variation on the radial side of the hand of Man. In Man the states of true double-thumb are just as in the Fowl ; but if there is a difference or Succession between the two parts 1 Jour. Anat. Phi/s., xx. p. 593; and xxm. p. 242. 2 Ibid., xxvi. p. 395, figs. 392 MERISTIC VARIATION. [part i. it is the external ' which is the greater, being in several cases a three- phalanged digit shaped like an index (see No. 486). Nevertheless in the Fowl it is the internal which is the greater. The conditions in the following cases are not far removed from those named above. 593. Archibuteo lagopus (Rough-legged Buzzard) : specimen in good condition shot near Mainz, being otherwise normal. The toes of the left foot were placed as usual in a bird of prey, but on the outside2 of the hind toe was a much smaller accessory toe. This accessory toe was attached to the hind toe almost as far as the 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 arid 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 bhd had habitually stood on the right leg. von Reichenau, W., Kosmos, 1880, vn. p. 318. 594. Gallinula 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. Gurnet, J. H., and Fisher, W. E., Zoologist, 1601. Guinea-ben having double hallux ; of the two digits the external - was the longer. Geoffroy St Hilaire, Hist, 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 divided, but each part bore a separate nail and there was no web between these secondary digits, 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. Erco- lani, Mem.. Ace. Bologna, S. iv. T. rn. p. 804, Tav. ui.Jig. 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 Windle, Jour. Anat. Phys , xxvi. p. 440, in which a three-phalanged digit stood on the radial side of a pollex. This case has not been described. See pp. 326 and 352. 2 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 Cowper1, and in it the appearance is as of an extra digit of three joints (1 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 ivas 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 2, but I have met with the following cases in other birds. i99. 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 scutellum on the plantar surface. The rest of the foot was normal. Jackel, A. J., Zool. Gart., xv. 1874, p. Ul,fig. 00. 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. Tegetmeier. 01. 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 Tegetmeier. 02. Buteo latissimus and of 102 B. germanica examined, 16 had one or more 4-jointed tarsi. The abnormality occurred sometimes in one leg and sometimes in another, being more frequent in the legs of the second pair than in those of the first, and much more frequent in the third pair than in either. In some specimens legs of the two sides were symmetrically affected, but this was exceptional. Only one specimen has hitherto been met with having all the tarsi 4-jointed. There was a slightly greater frequency in females than in males. When the examination of these abnormal tarsi was begun it was supposed that the variation was congenital, but as explained in a note to the Introduction (p. 65) doubt subsequently arose as to this. It is well known that Blattidse like many other Orthoptera have the power of renewing the appendages after loss, and Mr Brindley found by experiment that when the tarsus of Blatta orientalis is renewed after mutilation the resulting tarsus is 4-jointed. It was also found that 4-jointed tarsi were much more frequent in adults than in the young. The question therefore arises, is the 4-jointed tarsus ever congenital 1 1 From Beunner von Wattenwtl, Prodr. enrop. Orthop., 1882. 2 Ann. ent. soc. France, s. 2, vi. 1848, Bull., j>. xix. chap, xv.] tarsus of Blatta. 417 To this question a positive answer cannot yet be given ; but as about 200 young B. orientalis have since been hatched from the egg and no 4-jointed tarsus was found among them, while in every instance of regeneration the new tarsus had four perfect joints, there is now a presumption that the variation does not occur congenitally. On the other hand it should be mentioned that the 4-jointed tarsus was seen in 3 specimens, found by Mr Brindley, which by their size would be judged to have been newly hatched. But even if the variation shall hereafter be found to be sometimes congenital it is certain that this occurrence must be very rare, and there can be no doubt that in the majority of cases the 4-jointed tarsus has arisen on regeneration1. As mentioned in the Introduction, the existence of the 4-jointed tarsus, whatever be the manner of its origin, raises two questions. Of these the first is morphological, relating to the degree to which the joints exhibit the property of individuality, and the second is of a more general nature, relating to the application of the theory of Natural Selection to such a case of discontinuous change. The interest of the case in its bearing on both of these questions arises from the Discontinuity, which was complete. All the tarsi seen were either 5-jointed or 4-jointed, and in none of the latter was any joint ever rudimentary, or any line of articulation imperfectly formed (except in a single specimen having a deformed tarsus). There were 5-jointed tarsi and 4-jointed tarsi : between them nothing. Following the usual methods of Comparative Anatomy it must be asked which of the 5 joints is missing in the 4-jointed tarsus? With reference to this question careful measurements of the separate joints were made by Mr Brindley in 115 cases of 4-jointed tarsi occurring in legs of the third pair in B. americana; and for comparison the separate joints of 115 normal 5-jointed third tarsi of the same species were also measured. (It is clear that the legs compared must belong to the same pair, 1st, 2nd or 3rd, for there is considerable differentiation between them. From this circumstance it was comparatively difficult to obtain a large number of cases, and hence the smallness of the whole number measured. But though of course statistics respecting a larger number would be more satisfactory there is no reason to think that by exami- nation of a greater number of cases the result would be materially affected. ) In the two sets of tarsi the total length of each tarsus was reduced to 1-000, the lengths of the joints being correspondingly reduced. The arithmetic means of the ratios of the several joints to the whole lengths of the tarsi to which they belonged was as follows : Five-jointed form. 1st joint 2nd joint 3rd joint 4th joint 5th joint •532 -156 -095 -049 '168 Four-jointed form. 1st joint 2nd joint 3rd joint 4th joint •574 -183 -064 -179 1 The circumstance that in Mr Brindley's observations the variation was in all species more frequent in females than in males, and that the frequency differed in b. 27 418 MERISTIC VARIATION. [part i. The evidence derived from these numbers lends no support to the expectation that any one particular joint of the 5-jointed form is missing from the 4-jointed, or that any one joint of the 4-jointed form corresponds with any two joints of the 5-jointed ; for if the numbers are treated with a view to either of these hypotheses it will be found impossible to make them agree with either. It appears rather that the four joints of the 4-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 each joint 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 mean 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 constancy, then the curve will be flatter. 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 4-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 4-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 t1, t2, &c. being the lengths of its several joints, I, T1, T2, &c. representing t1 T1 the same measurements in the 4-jointed form, the ratios — &c, — &c, represent J-j t the proportional length of the several joints in each case. The values of these ratios were then arranged in ascending order in their own series and the measures occupying the positions of the first, second, and third quarterly divisions noted1 (indicated hereafter by Q1, M and Q3 respectively). The probable error or t1 T1 variation of each ratio — , — , &c. will then be represented by the expression o3 - o1 - . Inasmuch as the joints are of different lengths, to compare the results a each must be converted into percentages of the mean length of the joint concerned. These results are set forth in the accompanying tables. the different pairs of legs may seem to point to the existence of some control other than the simple chances of fortuitous injury. As regards the latter point it is not unlikely that the legs of the third pair, being longer and less protected, may be more often mutilated than the others. 1 As described by Galton, F., Proc. Roy. Soc, 1888-9, xlv. p. 137. CHAP. XV.] Five-jointed tarsus. tarsus of Blatta. 419 F L Ql •521 M •529 Mean error •535 as percentage of M 1-3 L t3 L t* L «5 L •152 •095 •046 •162 •156 •099 •049 •168 •160 •101 •051 •174 2-6 3-0 5-0 3-6 Four-jointed tarsus. T /T12 T T3 T I Ql •565 •178 •060 •172 M •575 •183 •064 •177 Q3 Mean error as percentage oiM •584 1-6 •189 3-0 •068 6-2 •183 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 obtained as the value of Q3+_Q' 2 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 Harker has most obligingly given much help in connexion with it. 27—2 420 MERISTIC VARIATION. [part i. to all. Yet even if, as now seems likely, the 4-jointed tarsus be not a congenital variation but is rather a result of regenera- tion, there is still difficulty in reconciling the now established fact that the form of the regenerated part, though different from the normal, is scarcely less constant, with any hypothesis that the constancy of the normal is dependent upon Selection. If it were true that the smallness of the mean variation of the t1 ratio j , which is ultimately the measure of the constancy and truth to type of the 5-jointed tarsus, is really due to Selection and to the 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 -=- ? Are we v to suppose that the accuracy of the proportions of the regenerated tarsus is due to the Natural Selection of individuals which in renewing their tarsi conformed to this one pattern ? We are 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. If this is so, should we not expect that individuals which had suffered 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 must 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 if 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- j newed 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 definiteness of the variations, the number of selections postulated is already enormous. But this vast number of selections must by hypothesis have all been made from amongst the mutilated — a group of individuals that would be supposed to be at a hopeless disadvantage1. 1 The same dilemma is presented in all cases where a special mechanism or device exists (and must be supposed to have been evolved) only in connexion with regeneration. An instance is to be seen in the Lobster's antenna. As is well known the antennary filament of the Lobster when lost is renewed not as a straight out- chap, xv.] RADIAL JOINTS OF COMATUL.E. 421 One or more of the hypotheses are thus clearly at fault. A natural, and I believe a true comment will occur to every one : that probably the injured insects are not at any serious disad- vantage, and that these mutilations perhaps make very little difference to their chances. But can we admit that the loss of a leg matters little, and still suppose that the definiteness and accuracy of the exact proportions of the tarsal joints makes any serious difference ? The hypothesis, therefore, that the smallness of the mean variation in the proportional lengths of the tarsal joints of the 4-jointed tarsus has been gradually achieved by Selection is un- tenable, whether that 4-jointed tarsus be a product of regenera- tion or a congenital variation. But if the accuracy with which the abnormal conforms to its type be not due to a gradual Selec- tion, with what propriety can we refer the similar accuracy of the normal to this directing cause ? Kadial joints in Akms of Comatul^;. The number of radial joints above the basals up to the division of the rays in Crinoids is usually constant in the genera. In Antedon and Actinometra there are normally three such joints, the third radial being the axillary, and none of these bear pinnules. Both increase and decrease in the number of radials has been observed, but variations from this number are rare, more so than variations in the number of rays. Cakpenter, P. H., Chall. Rep., xxvi. Pt. lx. p. 27. 16. Antedon alternata : specimen having in one ray four radials, none bearing pinnules or united by syzygy. ibid., PL xxxu.fig. 6. !7. Encrinus gracilis (fossil) : in one ray four radials. Wagner, Jen. Ztschr., 1887, xx. p. 20, PI. ii. fig. 13. !8. Antedon remota, A. incerta, Actinometra parvicirra (Fig. 126) ; one specimen of each of these species had one ray with only two radials. Carpenter, I.e., PI. xxix. fig. 6; PI. xviii. fig. 4; PL lxi. fig. 1. Fig. 126. Actinometra parvicirra, No. 628. Specimen having only two radials in the ray marked x. (From P. H. Carpenter.) growth, as the other appendages are, but when formed again it is coiled up in a tight conical spiral which cannot be extended at all, but is kept firmly in place by the shortness of the skin on the inner curvature. (For figure see Howes, Jour. Anat. Phys., xvi. p. 47.) During the process of regeneration the antenna is very soft, and were it extended it would from its great length be much exposed to injury. At the next moult after renewal the new antenna is drawn out as a straight filament like the normal, and its skin then hardens with that of the rest of the body. This strange manner of growth occurs only on regeneration. It is hard to believe both 422 MERISTIC VARIATION. [part i. Metacrinus. Some species have normally 5, others normally 8 radials. If there are 5, the 2nd and 3rd are united by syzygy and bear pinnules; but if there are 8, both 2nd and 3rd, and the 5th and 6th are thus united and bear pinnules. In Plicatocrinus the number of radials is tivo, and this is also the case in one or two fossil Comatulas. Pentacrinus has normally three radials like Antedon. 629. Pentacrinus miilleri: specimen having in one ray four radials, the 2nd and 3rd united by syzygy, though bearing no pinnules. Carpenter, I. c. ; and Chall. Rep. xi. Pt. xxxn. p. 311, PI. xv. fig. 2. (1) that the number of individuals that have lost antennae — a serious injury one may judge— and have renewed them, and have bred, can have been enough to lead to the establishment by Selection of a distinct and highly special device to be invoked solely on the occasion of mutilation of an antenna ; and also (2) that the least detail of normal form is of such consequence as to be rigorously maintained by Selection. CHAPTER XVI. Radial Series. 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, «fec), 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 Hydromedusas 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. 424 MERISTIC VARIATION. [part I. I. Cgelenterata. f630. Sarsia mirabilis1: normally four radial canals, &c. (Fig. 127. I and III). Out of many hundreds of N. American specimens two were found with six radial canals, six ocelli, and six tentacles, Fig. 127. Sarsia mirabilis. I and III, the normal form, with four radii, from below and from above. II and IV, an abnormal form with six radii, from below and from above respectively. (From Agassiz.) symmetrically arranged (Fig. 127, II and IV). These specimens were of larger absolute size than the normals. Agassiz, L., Mem. Amer. Ac. Sci., iv. p. 248, PI. v. fig. 5. 1 Sarsia is the medusa of the Gymnoblastic 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, G. J., Jour. Linn. Soc, Zool., xn. p. 527. 632. Sarsia sp. A single specimen having five complete segments : the only abnormality met with amoDg thousands of naked-eyed medusas 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 ? 533. 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 Krohn1 the number was 6. Most of Claparede's2 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 Claparede's. I examined many of this form at Concarneau and found six the commonest number in the free meduste, 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. 534. Normally there is a single eye at the base of each arm. Claparede figures (I.e. p. 6, PI. 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. >35. Stomobrachium octocostatum (iEquoridse) : variety found in Cromarty Firth, §rds of size represented by Forbes (Monogr. Br. Naked-eyed Medusce); 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. Berl., 1835, Taf. vin. 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. Entio. Wirbelloser Thiere, 1863, p. 5. 3 Mem. Ac. Torino, S. 2, xxm. p. 377. 4 Brit. Hijd. Zoophytes, 1868, p. 71. 426 MERISTIC VARIATION. [part i. diaclemata there are normally as a specific character four diadems between each pair of radial tubes, making in all sixteen instead of eight, which is the usual number in the genus. Romanes, G. J., Jour. Linn. Soc. Zool., xn. p. 525. *636. Aurelia aurita. This form exhibits an exceptional frequency of Meristic Variation. In the normal there are 16 radial canals, 4 oral lobes, 4 generative organs and 8 lithocysts. The de- partures from this normal form have been described in detail by Ehrenberg1 and by Romanes'2. Meristic Variation in Aurelia may occur in two distinct ways, first in the degree to which there is complete separation between the generative sacs, and second in actual numerical change. Imperfect division of generative sacs. In the commonest form of Aurelia there are four generative organs each distinct from its neighbours, but in some specimens the generative epithelium is continuous all round the mouth, and there is then one continuous generative chamber, though opening by 4 openings as usual. (Such absence of complete sepa- ration between 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 a true circle, but is sacculated to form 4 (as normally) 3, 6, or some other number of incompletely separated parts. Ehrenberg (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, but each of these pouches opened by 3 openings. There was thus a bilateral symmetry, each half containing three lobes of ovarian epithelium incompletely separated from each other. Complete union of all the generative organs was very rare. The specimens differ greatly with regard to the degree to which the generative epithelium is folded off, and in the shapes of the generative organs. Commonly the generative epithelium is of a horse-shoe form, the two limbs of the horse-shoe not meeting each other; but in some specimens the two limbs ma3r be to various degrees approximated, so that each generative organ is kidney-shaped or even roughly circular. (Cases figured by Ehrenberg, I.e., PI. n.) [Here note the Simultaneous Variation of the single quadrants.] Numerical Variations. Of these the most striking and also the most frequent ai^e variations consisting in a perfect and symmetrical change in the fundamental number of segments composing the disc. Normally there are four quadrants (Fig. 128, 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. 128, V, and II. These figures are from Romanes. Symmetrical forms having five segments and eight segments are described and figured by Ehrenberg. As to the comparative frequency of these forms facts are given below. In each of them all the parts normally proper to one quadrant are repeated in each segment of the disc, the number of parts being greater or less than the normal in correspondence with the funda- mental number of the specimen. 1 Ehrenbekg, C. G., Abh. k. Ak. Wiss., Berlin, 1835, pp. 199—202, Plates. 2 Romanes, (j. J., Jour. Linn. Soc., Zool., xn. p. 528, and xm. p. 190, Pis. xv. and xvi. CHAP. XVI.] RADIAL SERIES I Aurelia. 427 Next, the number of certain organs may vary independently of other organs. For example as seen in Fig. 128, VI the radial canal Fig. 128. Diagrams of various forms of Aurelia aurita, slightly simplified from Romanes. I. The normal. II. Symmetrical form with 6 radii. III. Two additional chief radial canals in opposite interradii (where manubrial lobes also were bifid) and substitution of two canals for one in another iuterradius. IV. Form with two generative organs. V. Form with three generative organs. VI. Symmetrical form in which the intergenital canals are all doubled, the others remaining single. VII. Apparently upper half-disc arranged as for a symmetry of four, lower half for a symmetry of six. VIII. One of the quadrants tripled (?). IX. Form resembling VI. except that in one quadrant the intergenital canal is not doubled. The descriptions are not altogether those of Romanes. normally lying in a plane between each pair of generative organs may in each quadrant be represented by two canals, and in correspondence with this change the number of marginal organs is proportionately changed in the quadrants affected. But besides these changes symmetrically carried out in each quadrant or in the whole disc, one or more quadrants or a half-disc may vary inde- pendently. For example Fig. 128, VII, shews a specimen in which the Wo upper quadrants are normal but the lower half-disc is primarily divided into three. (In the case figured the parts of the lower half-disc 428 MEMSTIC VARIATION. [part i. are not quite accurately distributed). Similarly a particular quadrant may be represented by two sets of parts or by three sets (Fig. 128, VIII), the other three quadrants being normal or nearly so. I have seen a case also in which the chief symmetry was arranged as for three seg- ments (having 3 oral lobes), but one of the three segments was imper- fectly divided into two. In a case of 6 segments, 3 on one side may be large and the other 3 small, somewhat as in Fig. 128, VIII, but the whole disc was not circular, the radius on the side of the large segments being the greater. In the figures (after Romanes) all the discs are represented as circles, but my own experience was that when there was not a truly symmetrical distribution of the generative organs the half quadrant or other segment in 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 3 generative organs but 4 oral lobes and other parts in multiples of 4, but as Ehrenberg says in such cases it is generally possible to detect that one of the generative organs is larger than the others or even partially double. He also saw cases otherwise arranged in a symmetry of 6, but having 22 chief radial canals instead of 24, &c. Also 14 radial canals (instead of 12) were found in some cases of 3 generative organs. As everyone will admit, it is impossible in regular threes, sixes, &c. 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 Ehrenberg only two were 8-rayed, 15 — 20 were 6 rayed, some 20 — 30 were 5- and 3-rayed, the remainder being 4-rayed. In percentages, 90 are 4-rayed, 3 are 3-rayed 3 are 5-rayed, 2 are 6-rayed and 2 have other numbers. The result of an attempt to ascertain these percentages in a great shoal of Aurelia 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 pi-oportion of abnormals is lower than that given by Ehrenberg. 2 generative sacs 0 3 ,, symml. : 3 oral lobes in 4 unbroken cases ...10 (0-57°/o) 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 quite symmetrical 1 6 ,, sym. : 6 lobes in 2 unbroken cases 7 (0*397.) 6 ,, not symmetrical 1 6 „ 4 large, 2 small 1 6 ,, 4 large, 2 united: 6 lobes in 1 unbroken ... 2 G „ 3 large, 3 small : 6 lobes 1 1763 CHAP. XVI.] RADIAL SERIES : PEDICELLARL3E. 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. Pedicellarle of Echinoderms. The number of jaws in the pedicellarias 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 savignii 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. !38. Dorocidaris papillata : number of jaws in pedicellarise 40 I I Fig. 129. Pedicellarije 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- cellarias 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. Luidia ciliaris : pedicellariae nearly all with three jaws ; but on Roscoff specimens a few having two jaws occur on the borders of the ambulacral groove. In Banyul's specimens none such were found in this position, but there is one in almost all the marginal intervals. Cu£not, Arch. zool. exp., S. 2, V. bis, p. 18. Asterias glacialis : occasionally three-j&wed pedicellariae like those of Luidia are found among the normal two-jawed pedi- cellariae. Cu£not, I. c, p. 23. 430 MERISTIC VARIATION. [part I. III. Cell-Division. *641. It was purposed at this point to have introduced an account of Meristic variations observed in the manner of division of nuclei and cells ; but I have found that, to give adequate representation of these facts even in outline, it would be necessary not only to treat of a very complex subject with which I have no proper acquaintance, but also greatly to enlarge the scope of this work. But were no word said on these matters, indications most useful as comment 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 used in reference to the wider question of Meristic Variation. We have been dealing with cases of Radial repetition, and we have seen that with Variation in the number of parts the result may still be 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. Cells which should normally contain two centrosomes and which should divide into two parts have been seen to contain three centro- II Fig. 130. Triasters. I. Tripolar division of nucleus in embryonic tissue of Trout (after Hennegdy1). II. Triaster from mammary carcinoma. Centrosomes not shewn (from Fleaiming2). somes (Fig. 130) prior to division into three parts, and the tri- angle formed by the three centrosomes may be equiangular just as may be the triangle of the segments of the abnormal Aurelia (Fig. 128, V), or of the jaws of the normal pedicellaria of Dorocidaris (Fig. 129). It is, I imagine, difficult to suppose that the radial symmetry of each of these series of organs is 1 Hennegut, Jour, de I'Anat. et Phys., 1891, p. 397, PL xix. fig. 9. 2 Flemming, Zellsubstanz, Kern u. Zelltheilung, 1882, PL vm. fig. v. after Martin, Virch. Arch., 1881, lxxxvi. PL iv. chap, xvi.] SYMMETRY IN TRIASTERS. 431 different in its nature, or indeed that it is anything but a visible expression of the equality of the strains tending to part each segment from its neighbours. (The case of the triaster is taken as the simplest and most plainly symmetrical, but examples of cells with greater numbers of centrosomes, sometimes dividing symmetrically, have also been seen.) For our purpose this fact is first of use as a demonstration of the absurdity of an appeal to " Reversion " as a mode of escape from the admission that variations in Radial Symmetry may be total and perfect though the new number of segments is one which presumably never occurred in the phylogeny ; for we need scarcely expect that even conspicuous defenders of the doctrine that all perfection must have been continuously evolved, will plead that the cells of every tissue in which a triaster is found did once normally divide with three poles. Yet if it be once granted that the symmetry of these abnormal forms is a sudden and new departure from the normal, it will not be easy to put the other cases on a different footing. Though we have repudiated all concern with the causes of ab- normality, mention may be made of the fact that multipolar figures, both regular and irregular, have been observed to result from the action of reagents (e.g. quinine, Hertwig1). Such figures are of course well known especially in the case of carcinomatous growths, and as Hertwig observes, from the resemblance of these figures to those artificially induced by chemical means it seems possible that these pathological appearances may also be the result of some chemical stimulus. But whatever be the immediate or directing causes of abnormalities in cell-division, or of those other abnormalities in the segmentation of Radial Series of larger parts, and whether any of the causes in the several cases be similar or different, we can scarcely avoid recognition that the resulting phenomena are closely alike2. 1 0. Hertwig, Die Zelle u. d. Gewebe, 1893, pp. 192—198. 2 See also a case of the presence of triasters in two bilaterally symmetrical tracts of the blastoderm of Loligo (v. infra). CHAPTER XVII. Radial Series: Echinodermata. As seen in the majority of adult Echinoderms the repeated parts are arranged with a near approach to a Radial Symmetry and it is thus convenient to consider their Meristic Variations in that connexion. But it must of course always be remembered that in their development these repetitions are in origin really a Successive Series and not a Radial Series. The segments are not all identical (as, in appearance at least, they are in many Ccelenterates &c), but are morphologically in Succession to each other, though there may be little differentiation between them. In the case therefore of Variation in the number of segments, resulting in the production of a body not less symmetrical than the normal body, there must be in development a correlated Variation among the several members like that seen in so many cases of additions to the ends of Linear Series. This circumstance should be kept in view by those who seek in cases of numerical Variation, in Echinoderms to homologize separate 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- derms, and though I know well that in the complex subject of Echinoderm morphology 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 Echinoderms also. All that is here proposed is to give abstracts of facts as to Variation in the numbers composing the Major Symmetries. It will of course be remembered that though the fundamental number in Echinoderms is most commonly five, other numbers also occur as normals, (e.g. four in the fossil Tetracrinus, six in some Ophiurids, &c. Examples will be given of total change from five to four and to six, and so on. It is besides not a little interesting that of the normally 4-rayed Tetracrinus both o-rayed and 3-rayed varieties should be known. Besides the examples of total Variation there are a few cases of incomplete Variation in which there is a fair suggestion that chap, xvil] RADIAL SERIES '. 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. redaction in the number of arms might otherwise be thought to be due to mutila- tion, it cannot be so in Echini &c. HOLOTHURIOIDEA. 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 (ffifvers. Daiisk. vid. Selsk. Fr,rh., 1872, pp. 108—158 : tr. Ann. and Mag. N. H., 1873, S. 4, xn. pp. 323 and 391) gave an account of this phenomenon. Ophiothela 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 Lutken 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 albulus], A. tenuispina &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 cribrarius, 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 albulus, Asterina wega, -rayed form. 76. Cidarites coronatus?: 4-rayed regular specimen (Fig. 135). Meyer, A. B., Nova Acta C. L. C, xvm. 1836, p. 289, PL xm. Fie. 135. Cidarites coronatus? No. 676, a regularly 4-rayed specimen from oral surface. (From A. B. Meyer.) 77 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 imperforate. Statement made that 1 Cu£not, Arch, de Biol, 1891, xi. p. 632, says that Echinoconus vulgaris has been seen with only three radii, but no authority is given. i 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 a a , 1 > _/" i~y/ <"'V V» '•.■: •*'' /,'■ Fig. 136. Echinoconus subrotundus having 4 rays, No. 677. (From Roberts, Geol, Mag., 1891.) 1. View of apical system. 2. Seen from side. 3. From apex. 4. From below. aa, anterior ambulacrum [?]. mp, madreporite. ai, anal interradius. The parts are lettered after Roberts. unpaired interambulacrum, but it is not possible to say which of the paired areas of this side are wanting, as the pores in the ambulacral plates round the peristome are indistinctly shewn. Roberts, T., Geol. Mag., 1891, Dec. in., vm. p. 116, figs. 678. Discoidea cylindrica : a 4-rayed specimen, absolutely sym- metrical. There are only 4 oculars corresponding with the 4 ambu- lacra. Cotteau, G., Peel, franc., 1862—67, VII. p. 31, PL 1011, figs. 6 and 7. [This is exactly like Roberts' case No. 677 and is illustrated by beautiful figures (q.v.). 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 wanting. 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 symmetrically arranged, there is thus no ambu- lacrum in the 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, xvii.] 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.] 9. 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 interambidacrum. 0. 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 five 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. 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 heisrht of the shell at the abnormal side is less than at the other. Bell, E 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, Gauthier in the same place describes an interesting case of symmetrical reduction in the two posterior ambulacra of Hemiaster africanus. 444 MERISTIC VARIATION. [part I. II Fig. 137. Echinus melo, No. 680, having the right posterior ambulacrum partially absent, a, anterior ambulacrum, ra, la, right and left anterior ambu- lacra, rp, Ip, ri^ht and left posterior ambulacra. I. View from apex. II. View from oral surface. (From Philippi.) chap, xvii.] ECHINOIDEA. 445 32. 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 I' Ass. pour Vav. des sci., 1885, xiii. p. 258, PL vn. fig. 1. 33. H. batnensis : very similar case of absence of right anterior ambulacrum and corresponding genital and ocular plate, ibid., fig. 3. 34. 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.] 55. Echinus sphaera (O. F. Miiller): specimen described in which the left posterior interambulaeral 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 interambulaeral 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 interambulaeral series widens somewhat at a short distance from the apical series and forms a small island of interambulaeral 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., Midler's Arch. f. Anat. u. Phys.. 1866, p. 406, PI. xi. (3) Case of total Variation to a Q-rayed form. *>6\ Galerites albog,alerus(?) : a regularly 6-rayed specimen having six symmetrical ambulacra and interambulacra (Fig. 138). Meyer, A. B., Nova Acta Ac. Cces. Leop. Car., xvm. 1836, p. 224, PL xiii. Fig. 138. Galerites albogalerus, No. 686. A six-rayed specimen. (After Meyer.) 446 M ERISTIC VARIATION. [part I. 687. Amblypneustes (S. Australia): 6-rayed specimen [no description or statement as to symmetry]. Haacke, W., Zool. 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. 139); the apical system was normal. The width of the anterior ambulacral region was almost double that of the others : it contained two ambulacra lying side by side, each, as usual, composed of a double row of plates with an ambulacral area and two poriferous zones. The s^Al Fig. 139. Amblypneustes 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 Stewart.) 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. Stewart, C, Jour. Linn. Soc, xv. p. 130, PI. 689. Hemiaster latigrunda : right posterior ambulacrum double, the two resulting ambulacra are closely adjacent peripherally and a small interambulacral area is formed between them in their more central parts. There are 6 oculars but no extra genital. Gauthier, I. c, tigs. 5 and 5 bis. 690. Hemiaster batnensis : right anterior ambulacrum double, the two ambulacra are in contact through ail their length. Cotteau, Pal. franq., 1869, p. 150, PI. xx., and Gauthier, I. 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, Com-ptes rendus Ass. fr. pour Vav. 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 illustrated, many are bilaterally repeated also ; but thus far we have considered them only in their relations as members of Linear Series. It now remains to examine the variations which they exhibit in virtue of their relation to each other as members of a Bilateral 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. Admirable 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, but 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 Salpiglossis1. In these cases, which might be indefinitely multiplied, 1 An account of several discontinuous variations in the structure of zygomorphic corollas was given by Miss A. Bateson and myself. Jour. Linn. Soc, 1892, xxvni., Botany, p. 386. 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 Polyplecti'on, 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 peripheral b. 29 450 MERISTIC VARIATION. [part I. indentation and is very nearly symmetrical about the rachis of the feather, though each of its halves has no axis of symmetry. I II Fig. 140. I. Part of tail-covert of Polyplectron chinquis, with the two ocelli of nat. size. II. Part of tail-covert of Polyplectron malaccense, with the two ocelli partially confluent, of nat. size. (From C. Darwin, Descent of M an, 1871, n. p. 13d, Jigs. 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 single organ is represented by 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 only, the two parts are still in symmetry about the original axis of Major Symmetry 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 hsemal spines &c. of Gold-fishes (v. 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; but in the case of duplicity of the central neural canal in Man for instance, or in the case of the tail-spine of Limulus described below, it is not clear that there is not a partial duplicity of the axis. • Division or absence of union in Middle Line. Most of the organs which in a vertebrate stand in a median j position have been seen more 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 Ahlfeld1. 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 tongue 2, 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. 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'ar 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 dor sally at the point where I 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 1 into a three-lobed, nearly horizontal fin. T Ahlfeld, F., Missb. d. Menschen, 1880. 2 Partsch, Bresl. Arztl. Ztsch., 1885, No. 17; Pooley, Amer. Jour., 1872, N.S., cxxvi. p. 385 [from Ahlfeld, p. 119]. 3 Manifold, W. H., Lancet, 1851(1), p. 10; French, Ann. Anal. Surg. Soc. Brooklyn, N. Y., 1880, ii. p. 271 [not seen], from Cat. Libr. Surg. -gen. U. S. < Army. 4 Trelat, Gaz. des Hop., 1869, No. 125 [for others v. Ahlfeld, Abschn. n. p. 175]. 5 Wagner, J., MUll. Arch. Anat. Pliys., 1861, p. 735, PI. xvn. A. 6 Pouchet, G., Jour, de Vanat. et phys., vn. p. 561, PI. xvn. 7 Watase, S., Jour. Imp. Coll. Sci. Tokio, i. p. 247, Plates. 29—2 452 MERISTIC VARIATION. [part I. Besides the caudal fin, the anal fin undergoes remarkable Fig. 141. Caudal and anal fins of Gold-fish (Cyprinus auratus). I. Normal tail, seen from side, v, dorsal lobe, d, ventral lobe. II. Abnormal form divided as far as the notochord. v' v', two ventral lobes, d' d\ two dorsal lobes. III. Abnormal form, the two ventral lobes, v' v', separate. IV. Pen- ultimate vertebra of normal Carji (C. carpio). n. s, neural spine, h.s, haemal spine. V. Penultimate vertebra of a Gold-fish with trilobed caudal fin. h'.s', double haemal spine. VI. Diagram of transverse section through region of anal fin of normal Gold-fish. VII. Similar section through a specimen having the anal fin doubled, i.s, interha?mal spine. /. r, fin ray. n, bony nodule. i.s',f'.r', n', corre- sponding parts doubled. (After Watase.) variation. It is either median and normal ; or it may be distinctly paired (Fig. 141, VII). There are all stages of caudal and anal fins, intermediate be- tween the normal and the completely paired states. Thus the tail-fin with its lower portion alone in a double state, or the anal fin with either its anterior or posterior portion double and the remainder single, is of quite common occurrence. These different conditions of the two fins combine in various ways in different individuals thus giving rise to manifold varieties of form. This doubling of the tail-fin consists essentially in a longi- tudinal splitting of the morphologically lower lobe of the tail. The first step in the process of doubling is seen in the case of gold-fishes 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 haemal spines of the last three vertebrae 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- haemal 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 Linnaeus2 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 trifurcam et a piscatoribus Leid-brassen vocantur, quasi diceres aliorum Gyprinorum conductor es." Though the duplicity of the haemal spines may be unaccompanied by other variations it should be noticed that the extraordinary "Telescope1' Gold-fish not unfrequently 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 I two in five were deficient in the dorsal fiu and two in a hundred or rather more had a " triple" [sc. three-lobed as described above] tail- fin, 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 hasmal canal as usual. The phenomenon is thus altogether different from that of spina bifida in the neural spines. 2 Fauna suecica, 1745, p. 331, PL II. 3 Kleyn, Miss., v. p. 62, Tab. xm. fig. 1 [not seen], quoted by Baster, Opusc. subsec, Harl., 1762, p. 91, note. 454 MERISTIC VARIATION. [part i. fin doubled. The deformed fishes were separated from the others but did not produce a greater proportion of varying offspring than the normals (Ann. Maq. N. H., 1842, p. 533). For a magnificent series of plates illustrating the various forms of Gold- fishes see Billardon du Satjvignt, Hist. nat. des Dorades de la Chine, Paris, 1780. [In Brit. Mus. copy text wanting ; I do not know if it ever appeared.] Fig. 142. Melolontha vulgaris, the Cockchafer, two cases of division of prono- tum. (After Kraatz. ) 1 With these cases compare the following : Hydrobius fuscipes, specimen having pronotum formed into three lobes, one being central, and two lateral. The lateral lobes projected from each side as considerable expansions. Kraatz, G.,Deut. ent. Ztschr., 1889, p. 222, fig. 21. Division of median structures in Coleoptera. The following list includes every case known to me. I. Epistome. 692. Anisoplia floricola (Lam.) : Algerian specimen having the epistome {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, Diphucephala and Inca. Fairmaire. L., Ann. Soc. ent. France, 1849, Ser. 2, vn. Bull., p. LX. II. Pronotum1. 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 this 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). Kraatz, G., Deut. ent. Ztschr., 1880, p. 341, PL n. Jig. 8. ( CHAP, xvm.] MEDIAN DIVISION : BEETLES. 455 )4. A male, closely similar case (Fig. 140, II., ibid,, 1877, XXI. v.57,Taf.i.fig.2. 15. A male in which the pronotum was similarly divided, but the division was not quite complete, de la Chavignerie, Ann, Soc. ent. France, 1846, Ser. 2, iv., Bull., p. xvm., PI. II., fig. II. i(j. An almost identical specimen (male). MoCQUERYS, Coleop. anorm,, 1880, p. 140, fig. [Now in the Rouen Museum, where I have examined it.] '7. Another case ; extent of division not specified. STANNIUS, Mull. Arch. Anat. Phys., 1835, p. 304. 18. Oryctes nasicornis <-/" (Lam.) : anterior part of pronotum divided into two parts by a longitudinal suture : posterior part of pronotum undivided. Head normal, ibid., PI. V. fig. 7. 9. Onitis bison (Lam.) : pronotum divided in the middle by a longitudinal suture, the lateral pieces being raised up. ibid. 0. 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. 1. 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. 2. 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. 73. 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. 7i. Carabus scheidleri: thorax dorsally covered by two com- pletely separate and symmetrical plates, whose inner edges are beset with yellow hairs [as the anterior and posterior margins 456 MERISTIC VARIATION. [part i. normally are]. The rest of the animal was normal. Kraatz, G., Bed. ent. Ztschr., 1873, XVII. p. 430, fig. 705. Carabus lotharingus ; thoracic shield divided in centre to form two triangular pieces which only unite at a single point. The head is drawn back into the thorax. Duponchel, Ann. Soc. ent. France, 1841, S. 1, x., Bull, p. XX., PL 706. Lixus angustatus (Rhyn.) : thoracic shield partially divided, present a deep emargination both before and behind [description not quite clear]. Doue, Ann. Soc. ent. France, 1851, IX. Bull., p. LXXXII. III. Metasternal plates. 707. Rhizotrogus marginipes $ (Lam.) having the abdomen de- formed in a symmetrical manner. Looked at from the ventral surface the metasternal plates are seen to be divided in the middle line by a deep depression so that the abdomen consists superficially of two lobes ; 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. 220, fig. IV. Pygidium. 708. Melolontha vulgaris (Lam.) : pygidium bifid, two cases. ' Kraatz, G., Deut, ent. Ztschr., 1880, p. 342, PI. II., figs. 4 and 4 a; and ibid,, 1889, p. 222, PI. I., fig. 19. 709 A case of "double proboscis" is recorded in Sphinx ligustri. The specimen ■was a pupa, and through the pupal skin it could be seen that the two mandibles had not united to form the single proboscis, but were divaricated. Kraatz, Deut. ent. Ztschr., 18S0, xxiv., p. 345, fig. Miscellaneous cases of doubtful nature. 710. Ascidians. Prof. W. A. Herdman tells me that he has several times met with Ascidians having a supplementary lateral atriopore. He regards this as a retention of a larval character, since in the young there are two atriopores which in normal individuals afterwards unite dorsally. 7H# Hamulus polyphemus : large specimen found at Fort Macon, N. Carolina, having a forked caudal spine (Fig. 143). This variation is Fig. 143. Limulus polyphemus No. 711, having forked caudal spine. (After Packard.) chap, xyiii.] MEDIAN DIVISION : MISCELLANEOUS. 457 probably very rare. Packard, A. 8., Mem. Bost. N. H. S., 1872, n. p. 201, Jig. 712. Palamnaeus borneensis (Scorpion) : specimen in which the terminal poison-spine was double, as shewn in Fig. 144. The two halves were not quite equal and there was no opening of a poison-gland on the shorter spine. This specimen, which is in the Brit. Mus. was kindly shewn to me by Mr R. I. Pocock. 713. Chirocephalus $ : specimen hav- ing the generative sac with two horns instead of one. [Normally there is only one such horn which forms a median downward prolongation of the ovisac. No further description.] Provost, B., Mem. sur les Chirocephales, p. 232 ; in Jurine's Hist, des Monocles, Geneva, 1820. Fig. 144. Double poison- spine of a Scorpion (Palamncens borne- ensis). I. From dorsal side. II. From ventral side. 7?, the spine which bore the openings of the poison-glands. Buccinum undatum. A number of specimens were formerly obtained from Sandgate in Kent1, having the operculum double. Sometimes the two opercula were separate, sometimes united. Many specimens of tbis variation are in the collection of Dr A. M. Norman, wbo kindly shewed tbem to me. The sbells and opercula alone remain and consequently it is not now possible to determine tbe position of tbe line of division relatively to the morphological planes of the animal; but, from tbe fact that in several instances tbe two opercula were related to each other as images, it seems likely that the division was in the longitudinal median plane, though this must be uncertain. Moreover in one of Dr Norman's specimens, from the fragment of dried flesh adhering, it appeared that the apex of the foot might have been bifid. Four cases are shewn in Fig. 145. In two of them (I and II) there is a fairly close relation of images, while in III this relation is less clear and in IV it is practically destroyed, though it is of course quite possible that this may be the result of unequal growth. Several of these opercula are much contorted and without any very definite shape. IE I W0KKl^k TT. m Fig. 145. Cases of duplicity in operculum of Buccinum undatum, from specimens in tbe collection of Dr A. M. Norman. I and II nat. size. Ill and IV enlarged. Ill and IV were kindly drawn for me by Mr J. J. Lister. 1 See Jeffreys, J. G., Ann. Mag. N. H., 1860 (2), p. 152. 458 MERISTIC VARIATION. [part i. It was intended to have introduced here some account of the curious and very rare cases in which, for a greater or less region of the spine, corresponding half-vertebra?, on either side of the middle line, are not united together in their proper order, but I fear this would be too great a digression. For references on the subject see Leveling, Obs. anat rarior., Norimb., 1787, Fsc. 1, cap. in. p. 145, Tab. v. ; Sandifort, Mus. anat, Leyden, 1835, iv. p. 74. PI. clxxviii. ; Reid1, Jour, of Anat., 1887, xxi. p. 76, fig. ; Guy's Hosp. Rep., 1883, p. 132. Union or absence of Division in the Middle Line. This phenomenon is the converse of that described above. Examples 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 cyclopian 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 Pig. Dareste4 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 which 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. Dareste5 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 see especially Ahlfeld, Missb. d. Mensch., Abschn. n. 1882. 3 For figures see e.g., Otto, Mus. anat. path. Vratisl., PI. i. fig. 5, PI. in. fig. 2 (Lambs) ; Guebdan, Monats.f. Geburtsk., x. p. 17$., 1871, p. 42, figs, (full literature); see also Turner, 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 MERISTIC 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 having 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-jiore of Balanoglossus and water-pores of larvae 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 Tomaria in having a left water-pore only. In several larva? 3| 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, PI. 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 Pleuronectida3. The evidence on this subject was collected by Steenstrup3 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 Spengel, J. W., Mitth. zool. Stat. Neap., 1884, v. p. 494, PI. xxx. fig. 2. 3 Steenstrup, Overs, k. Dansk. vid. Selsk., 1863, p. 145, abstr. by Wyville Thomson, Ann. and Map. N. H., 1865 (1), p. 361. 4 In some species the coloured side is normally the right, in others the left, reversed specimens being common in some species (P. flesus), rare in others. The reversed condition concerns only the head, skin, muscles, &c, and there is no transposition of the internal viscera. 0 Evidence collected by Steenstrup. Gottsche (Arch. f. Naturg., 1835, u. p. 139) states that P. platessa is not 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 Cunningham1, 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—2 468 MERISTIC VARIATION. [part I. (Such a development of tubercles1 on the lower side may however occur without any correlated change of colour.) It is also stated that in the "double" tui'bots the muscles of the lower side are thicker than they normally are, thus approximating to the upper side, a feature that may be taken as an indication that the manner of swimming is different from that of normals. A flat-fish having pigmentation on the lower side does not necessarily present any other abnormality 2. The Plaice, for in- stance, just mentioned, was, colour apart, quite normal. But some specimens of fiat-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 below the anterior end of the dorsal fin above the eye (Fig. 152). By this cleft the anterior end of the dorsal fin is separated from the back of the head and is borne on a process or horn project- ing anteriorly so as to continue the contour of the body above the Fig. 152. Head of a Brill (Rhombus lavis) having the dorsal fin separated from the head as described in the text. (From Yarrell.) 1 The literature relating to discontinuous variations consisting in the presence of bony tubercles upon the blind side of Rhombi is extensive. See especially Demidoff, Voy. dans la Russie Merid., 1840, in. p. 534, Pis. 28, 29 and 30. Steindachner, Sitzb. Ak. Wiss. Wien, 1868, lvii. (1), p. 714. Rathke, Mem. Ac. Sci. Pet., 1837, in. p. 349. Gunther, Cat. Brit. Mus. Fishes, iv. p. 409. These cases will not be confounded with those of supposed hybrids between R. maximus and R. Icevis, which bear 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 I have seen two recent papers on the subject by Giard (Comptes rend. Sue. Hiol, 1892, S. 9, iv. p. 31 and Nat. Sci., 1893, p. 356) contributing further evidence on the subject and giving new cases in the Turbot. According to Giard, of flounders (P.flesus) at Wimereux 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. 469 head. Steexstrup states that the variation has, he believes, been observed in all flat-fishes1 except the Halibut (Hippoglossus). 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 Traquair2 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. Steexstrup 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 tvas 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 Agassiz3 in several Pleuronectidse. 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 Malm4 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 tin 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). 2 Traquair, Trans. Linn. Soc, 1865, xxv. p. 263. 3 Agassiz, Proc. Amer. Ac. Sci. 1878, xiv. p. 1, Pis. 4 Malm, CEfvers. k. Sven. Vet. Ac, 1854, p. 173, see Ann. and Mag. N. H. 1865 (1), p. 366. 5 Allusion should be made to the fact that in the genus " Plagusia" the dorsal fin acquires its forward extension at a time before the shifting of the eye occurs. When the time for this change comes the eye of the future blind side passes under the dorsal fin and above the skull, through the tissues from one side of the head to the other. This was first observed by Steenstrup, 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 Pleuronectidse. 470 MERISTIC VARIATION. [part i. processes by which the dorsal fin comes to stand where it does. We 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. f727. Rhombus maximus (Turbot). Two specimens respectively 9 in. 9 lines and 7 in. 6 lines 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, Isis, 1829, p. 1049, PI. in. Similar specimen Couch, Fishes Brit. I si., III. 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, ill. Sect. ix. p. 262, PI. ill. figs. 3 and 4). 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 2>lace, 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 Steenstrup, 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 McIntosh, Fishes of St. Andrews, 1875, PI. vi. figs. 5 and 6. Prof. Mcintosh kindly informed me that these "double" individuals swim on edge much longer than usual. '&v 730. Rbombus laevis (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 under 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 3Ius., numbered #90 #310. [This specimen was kindiy shewn to me by Prof. Vaillant.] Similar specimen, also having white patch on operculum Duhamel du Monceau, I. c. See also Fig. 152, from Yaerell, Brit. Fisiies, 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 "inveloped in a froth" said to have resembled cuckoo-spit. 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. Yaeeell (quoting Couch), Brit. Fish., 3rd ed., i. p. 648. "Flatessa 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. Storee, Mem. Amer. Ac. Sci., vin. p. 396, PI. xxxi. fig. 2 b. Fleuronectes 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. Nature;., 1835, n. 1, p. 139. Fleuronectes 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, Higgins, Zoologist, 1855, p. 4596, fig. Specimen of this kind figured by Teaquair, 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. Solea vulgaris. Many authors mention Soles coloured on both sides, but I know no good description of one. Yaeeell (/. 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, PI. 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 Sundevall's Hist, of Scand. Fishes, 1893, pp. 416 and 417. Smit makes a new genus, Platysomatichthys, for this animal. 472 MERISTIC VARIATION. [part I. Comment on the foregoing cases. In the cases preceding many will no doubt see manifest examples of Reversion. There is a sense in which this view must be true, for it can scarcely be questioned that if we had before us the phylogenetic series through which the Flat-fishes, the Narwhal, &c. are descended, it would be seen that each did at some time have a bilaterally symmetrical ancestor. But, for all that, in an unqualified description of the change as a reversion the significance of the facts is missed. By the state- ment that a given variation is a reversion it is meant that in the vary- ing individual a form, once the normal, reappears. The statement more- over is especially intended to imply that the definiteness and magnitude of the step from normal to variety is due to the circumstance that this variety was once a normal. It is meant, in fact, that the great- ness of the modern change can be explained away by the suggestion that in the past, the form now presented as a variation, was once built up by 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-fishes, leads to difficulty. We may admit that in so far as the varieties 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 bilateral symmetry we have in any further sense a reappearance of an ancestral form is very unlikely. First it might be fairly argued that it is improbable that there was ever a typical flat-fish having on both sides the peculiar pigmentation of the present upper sides of the Pleuronectidre of our day. Such a creature would be 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 difficulty that each species may in the "double" state have upon its lower side the specific 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 may do so ; and, in proportion as it does so in different species, so far at least are the changes not simply revers- ions ; for the several patterns of Turbot, Plaice &c. 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. 467), 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 delay in the change of 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 Horuceosis 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 Homoeotic variation from the one-pored form, and of this variation Balanoglossus 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. Supernumerary Appendages in Secondary Symmetry. Introductory. — The Evidence as to Insects. Of all classes of Meristic variations those consisting in repeti- tion or 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- tions 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 here for two reasons. First the subject is a necessary continuation of the 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 a large number of cases (being, indeed, the great majority of those that 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- sion of the 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. Arrangement of evidence as to Repetition of Appendages. In the first instance I shall give the evidence as to Secondary Symmetries in Insects and Crustacea, prefacing it with a prelimin- ary account of the system of Symmetry obeyed by those cases which I shall call regular, and explaining the scheme of nomen- clature adopted. Besides the regular cases of extra parts in Secondary Symmetry there are many irregular examples which cannot be shewn to conform to the system set forth. Of all but a few of these, details are not accessible, and of the rest many are CHAP, xx.] SECONDARY SYMMETRY: PRELIMINARY. 475 mutilated or so amorphous that the morphological relations of the surfaces cannot be determined. Over and above these there remain a very few cases of Repetition of parts of appendages where the arrangement is cer- tainly not in Secondary Symmetry, but is of a wholly different natuie, exemplifying in Arthropods that duplicity of limbs already seen in the human double-hands (p. 331) and in the double-feet of Artiodactyles (p. 378). Genuine cases of this kind are excessively rare ; but owing to hasty examination great numbers of cases have been described as instances of duplicity, though in reality the supernumerary parts in them can be shewn to be of paired struc- ture. To emphasize the distinctness of these cases they will be made the subject of a separate consideration. Logically they should of course be treated before the Secondary Symmetries ; but their essential features may be understood so much more readily if the latter are taken first that I have decided to change the natural order. In continuation of the evidence as to Secondary Symmetry in Arthropods will be given a brief notice of similar phenomena in vertebrates. This evidence is comparatively well known and accessible and I shall attempt no detailed account of it, referring to the facts chiefly with the object of shewing how the principles found in Arthropods bear on the vertebrate cases. It will then be necessary to consider how repetitions in Second- ary Symmetry are related to other phenomena of Repetition. Lastly something must be said with regard to the bearing of these facts on the general problems of Natural History. Preliminary account of paired Extra Appendages in Secondary Symmetry (Insects). Supernumerary appendages in Insects are not very un- common, perhaps 120 cases of this kind being recorded1. Nearly all known examples are in beetles, but this may be due to the greater attention paid to the appendages in that order. They do not seem to appear more often in one family than in another, but perhaps the rarity of instances in Curculionidae is worth noting. They are found in both sexes, in all parts of the world, and in species of most diverse habits. Supernumerary parts may be antennae, palpi or legs. (Extra wings are probably in some respects distinct. They have al- ready been considered. See p. 281.) Extra appendages may be either outgrowths from the body in the neighbourhood of the part repeated, or, as in the great majority of cases, they occur as outgrowths from an appendage, extra legs growing from normal legs, extra antenna? frum antennas, &c. In every case there are two essentials to be determined : first the constitution 1 Not including some 110 cases of alleged duplicity of appendages given later. 476 MERISTIC VARIATION. [PART I. of the extra parts, and secondly the symmetry or relation of form subsisting on the one hand between the extra parts themselves, and on the other between the extra parts and the normal parts. In few cases of extra appendages arising from the body itself have these essentials been adequately ascertained. For brevity I shall describe the phenomena as seen in extra legs. The same description will apply generally to the antennae. Recorded cases of extra palpi are very few, but probably are not materially different. Structure of Paired Extra Legs. The parts composing extra legs do not as a rule greatly differ from those of the 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 next point is especially important. The parts found in extra legs are those parts which are in the normal leg peripheral to the jioint from which the extra legs arise, and, as a rule no more. Though in extra legs parts may be deficient or malformed, structures 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 Particular attention is therefore called to one case of extra antennas, which did 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 tibiae or the two tarsi may be more or less compounded. In the case of Silpha nigrita (No. 769), 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 tarsus 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 coxse, so that the plantar surface of the first pair of legs is turned forwards, but the plantar surfaces of the second and third pairs are turned backwards1. 1 Attention is directed to the fact that in a beetle there is a complementary 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 are in some respects images of the first leg of their own side. For instance, in Cerambyx (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 second and third legs is in front of each trochanter. Again in Melolontha &c. the tibial serrations of 478 MERISTIC VARIATION. [part i. Extra legs may arise from any one of the morphological surfaces, but more often their origin is in a position intermediate between them, e.g., antero-ventral, or postero-dorsal. The next question is that of the determination of parts which are extra from the parts which are normal. Two extra legs spring from a normal leg. The appearance is often that of a leg single proximally, but triple peripherally. All three limbs are often equally developed and at first sight it might well be supposed that the three collectively represent the single leg of the normal. In many cases of Meristic Variation I have contended that the tacts are only intelligible on the view that there has been such collective representation. But in these Secondary Symmetries this supposition 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 two 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 normal and not with the other extra appendage. A remarkable case of this in an antenna may be seen in Melolontha, No. 800, and in a leg in Platycerus caraboides, (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 may for the most part be reduced to a system. 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- sideration of exceptional cases will be deferred and the principles stated in a general form. It will be remembered that we are as yet concerned only with double 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 circumstance is mentioned lest it might be thought to have been 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 anj' 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 each 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 wheel as shewn in Fig. 153. In that figure, R 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 SE represent the two supernumerary legs, SL being a left, SR a right. (They are supposed to arise 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 "Posterior" on the disc, the models will then take the positions they would have if they arose from the posterior surface, all the ventral surfaces coming into one plane. If the arrow be 480 MERISTIC VARIATION. [part I. set to "Ventral" the two supernumeraries will turn their dorsal surfaces to each other, and so on. The model SL thus rotates twice on its own axis for each Fig. 153. 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 model R represents a normal right leg. SL and SR represent respect- ively the extra right and extra left legs of the supernumerary pair. A and P, the anterior and posterior spurs of the tibia. In each leg the morphologically anterior surface is shaded, the posterior being white. R is seen from the ventral aspect and SL 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 neighbour in a mirror tangential to the circle of revolution. In the figure the models have the position 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 possible to define these positions by naming the radius. This will be done 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 longer process distinguishing the anterior surface from the posterior. The radii are 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 the system employed in boxing the Compass. On several of the radii ideal sections of the extra legs are shewn in thin lines, the shaded one being the nearer and the plain one the remoter. M1 and M2 shew 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. 481 point of origin is most extraordinary. It does not appear that the surfaces compound together along any very definite line or thatthe VPP 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 side of each being indicated by the longer spur. The section of the normal leg, in which the radii converge, is shewn with a thick black line. The section of the nearer extra leg in Diagram I is shaded, while the remoter is blank. The radii shew them in various positions, anterior, posterior, dorsal, ventral, &c. relatively to the normal leg. M1, the plane of reflexion between the nearer extra limb and the normal. M-, plane of reflexion between the nearer and the remoter extra limbs. Diagram II is constructed in the same way to illustrate special cases of extra legs arising anteriorly or posteriorly. If the two extra legs diverge from each other centrally to the tibial apex each tibial apex is then complete, as on radius A of Diagram I. In Diagram II are shewn two degrees of coir^osition of the two tibial apices, illustrating how, in cases of complete composition, the extra parts may consist wholly of two morphologically posterior or anterior surfaces according as they arise posteriorly or anteriorly to the normal leg. (See for instance Nos. 750 and 764. ) line of division between the several limbs is determined by the normal structure of the limbs. The homologous paints seem to be compounded at any point, almost as an object partly immersed in mercury com- pounds with its image along the line to which it is immersed, where- ever that line mav be. B. 31 482 MERISTIC VARIATION. [part i. From this some curious results follow. For instance, if two extra limbs arise anteriorly and are separate at their tibial apices, they bear four spurs as shewn at radius A in the upper diagram of Fig. 154. But if the two are fully compounded at the tibial apices in the anterior position the compounded limb will only have two spurs, both being shaped as anterior spurs (as shewn in the lower diagram) and con- versely for the posterior position (see No. 76-i). The parts, in fact, where the pair may be supposed to interpenetrate (dotted in the diagrams) are not represented. Those who have described these phenomena have in consequence often made the following error. Observing a limb giving off' a morpho- logically double limb with a common proximal part subsequently sepa- rating into its two components, they speak of this as a "primary and secondary dichotomy." When the facts are understood it is clear that there is no dichotomy between the extra legs and the normal, for the parts are not equivalent and the normal is undivided. Such are the principles followed. It would not be true to assert that these rules are followed luith mathematical precision, but in the main they hold good. Special attention will be given to cases departing from them, but the number of such cases is small. The cases of slight deviation from the schematic positions are besides mostly those of extra limbs in the Positions A and P, and generally the deviation in them takes the same form, causing the ventral surfaces of the extra parts to be inclined to each other downwards at an obtuse angle instead of forming one plane. In all cases possible I have examined the specimens myself, and I am under obligation to numerous persons who have very generously given me facilities for doing so. Amongst others I am thus greatly indebted to M. H. Gadeau de Kerville, Dr G. Kraatz and Dr L. von Heyden for the loan of many valuable insects, and also to Messrs Pennetier, Giard, Dale, Mason, West- wood, Waterhouse, Janson, Harrington, Bleuse, &c. In this part of the work I am under especial obligation to Dr D. Sharp, for without his cooperation 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 at Cambridge I have had the benefit of his help and advice. Of cases not seen by me few are described in detail sufficient to warrant a statement as to the planes in which the parts stood, but sometimes the figures give indications of this. Some of the accounts are quite 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 of the insect for -tntistical purposes. But every case known to me is here re- corded : there has been no rejection of cases. The cases will be taken in order of the Positions, beginning :hap. xx.] EXTRA LEGS : POSITION V. 483 vith the Position V and taking the other radii in order, going ound against the hands of a watch. Cases of Extra Legs ix Secondary Symmetry. (1) Position V. Carabus scheidleri % : pair of extra legs having a common emoral^ portion arising from the trochanter of the right fore leg- Fig. 155). This case is of diagrammatic simplicity. The troch- Fig. 155. Carabus scheidleri, Xo. 736. The normal right fore leg, R, bearing a extra pair of legs, SL and SR', arising from the ventral surface of the coxa, C. een from in front. (The property of Dr Kraatz.) nter bears a normal leg (R) articulating as usual. Immediately entral to this articulation there is a second articulation upon a mall elevation. This bears a double femur made up of parts f a pair of femora compounded by their dorsal borders. The ouble femur has thus two structurally ventral surfaces opposite } each other. The apex presents two articular surfaces in the same plane s that of the normal leg, each bearing a tibia, both tibiae flexing l the same vertical plane. Since the double femur of the extra legs stands vertically ownwards at right angles to the normal femur, it will be seen lat both the extra tibiae flex upiuards, but one of them is a sft leg (SL), bending to meet the normal leg, while the other ; a right (SR'), bending towards the ventral surface of the body, he tibia of the left extra leg is a little shorter than that of le normal, and the tibia of the right extra leg is a little longer lan it. All three tarsi are thinner than a normal tarsus ; and le claws are a good deal reduced in the case both of the normal ad the right extra leg, while in the left extra leg they are absent together. This is an example of a pair of extra legs arising 31—2 484 MERISTIC VARIATION. [part I. in the position marked V in the Scheme and having precisely the relations there shewn. Specimen first described by Kraatz, G., Bed. ent. Zt, 1873, p. 432, fig. 9. I am greatly indebted to Dr Kraatz for an opportunity of examining it. 737. Carabus marginalis : penultimate joint of left hind tarsus is en- larged and presents two articular surfaces, a proximal one on the ventral surface, and another at the apex. The latter bears the normal last joint with its claws. From the proximal articular surface arises a thick joint shorter than the normal last joint, bearing at its apex two pairs of claws set back to back, as in the Position V. Specimen rede- scribed from Kraatz, G., Deut. ent. Zt., 1880, xxiv. p. 344, PI. n. fig. 29. 738. Carabus granulatUS <£, left posterior tibia bearing an amor- phous rudiment of two extra tarsi arising from the ventral surface of its apex. The apex of the tibia is produced at the dorsal border to form an irregular process which bears a tarsus of normal form but reduced size and immediately ventral to this tarsus is a pair of tibial spurs. Ventral to these spurs is another deformed pair of spurs and below them again is a deformed 3-jointed rudiment which probably represents two tarsi. Ventral to the rudiment of the extra tarsi is a third deformed pair of spurs. It was not possible to recognize the surfaces 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 dorsal. This specimen was originally described by Dr L. Von Heydex, who was so good as to lend it to me for examination, see Deut. ent. Zt., 1881, xxv. p. 110, fig. 26. 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 distinguish 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 femur, were the other two legs. 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. 73G. The normal leg must either have been the most dorsal or the most ventral. If the former, the extra parts are in the Position V ; if the latter, they are in the Position D, but in this event the normal would be compounded with one of the extra legs. [Kedescribed from descrip- tion and figure given by Krause, Sitzb. nat. Ft. BerL, 1888, p. 145, fig,] 740. Melolontha vulgaris ? (Laniellicorn) : right posterior femur bears a super- numerary pair of limbs having a double tibia in common. The supernumerary parts are rather smaller than the normal ones. [The position of origin and symmetry, according to the figure, must have been approximately V.] Kolbe, H. J., Naturw. Wochens., 1889, iv. p. 10!), fig. 741. Carabus perforatus $ : *rom the ventral or plantar surface of the 5th tarsal joint of left hind leg project an extra pair of claw-joints compounded in Position V, each bearing a pair of claws, set back to back. This is a diagrammatic case, well and clearly described by Asmuss, Monxtr. CoUop., 1835, p. 54, Tab. IX. CHAP, xx.] EXTRA LEGS : POSITION VAA. 485 (2) Position VAA. Feronia (Pterostichus) miihlfeldii $ (Carabidae) : left middle tibia bearing two supernumerary tarsi arising by a common proximal joint (Fig. 156). 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 tibiae 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 are 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 representation of the left middle tibia bearing the extra tarsi upon the antero-ventral border of the apex. L, the normal tarsus; E, the extra right; L' the extra left tarsus. (The 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. The second joint of the remoter arises in the position shewn for VAA, but its apex is slightly shrivelled and in consequence the 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 by him in Dent ent. Zt, 1877, xxi. p. 56, fig. 21. }. Aromia moschata $ (Greece) (Longicorn) : right anterior tibia enlarged at apex bearing anteriorly a supernumerary pair 486 MERISTIC VARIATION. [part i. of tarsi. The widened apex bears three supernumerary spurs of which the middle one is thicker than a normal posterior spur. This is no doubt a double spur representing the two posterior spurs of the extra tibiae. The other two extra spurs are ordinary anterior spurs. The relative positions of these spurs are exactly those marked VAA in the Scheme. Of the extra tarsi 3 joints only remain and the two tarsal series are so closely compounded that superficially they seem to form one tarsus only. In their first joints the inclination of the ventral surfaces to each other is at an acute angle, thus departing from the Scheme, but in the second and third joints, where they are more separate from each other, the inclination is at approximately the same angle as that of the lines joining their respective spurs. Specimen in General Collection of the British Museum. 744. Carabus graecus £ : trochanter of right middle leg bears a super- numerary pair of legs having trochanter, femur, tibia and 1st tarsal joint common. The coxa of the normal leg is enlarged and the trochan- ter has two heads, of which the anterior belong to the extra pair of legs. The femur of the extra pair is a single piece but is morphologically double, presenting two structurally anterior surfaces and two structurally ventral surfaces, the latter being inclined to each other at an angle of about 120°. From the apex of this femur there arises a double tibia, also composed of two anterior and two ventral surfaces. This fact is especially clear in the case of the tibia and is proved by the arrange- ment of the spines and spurs. In a normal tibia there are two spurs, one posterior and one anterior, and the posterior spur is longer than the anterior. Now in this tibia there are three spurs, two shorter ones at either margin of the apex, and one longer one with a bifid point between them, which is clearly therefore a pair of 'posterior spurs not completely separated from each other. This A'iew of the structure of the double tibia is equally evident from the arrangement of the remainder of the spines on its surfaces. In it the inclination of the ven- tral surfaces is about the same as in the femur, but is perhaps rather more acute. The 1st tarsal joint is similarly a double structure. Its apex presents two articulations, but while the posterior bears a com- plete 4-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 very nearly anterior to the single part but it is also somewhat dorsal to it. This gives to the base of the double femur a trend dorsalwards: but from the base the femur curves ventralwards so that the nett result is that its apex is actually ventral 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. Now the relative position of the paii- 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. 487 45. '46 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 Heyden and was first described and figured by him in Deut. ent. Zt., 1881, xxv. p. 110, fig. 25. (3) Position A. Eurycephalus maxillosus (Longic): 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. 157), neither being flattened as the posterior surface of a normal first 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 anterieure du cote droit se bifurque des soil origine en deux br'anches ay ant chacune le volume dune cuisse normale" 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 Mocquerys, Col. anorm., 1880, p. 54, fig. Eros minutus (Malacoderm) : right anterior tibia slightly divided at apex, forming two apices (Fig. 158). The posterior apex bears a normal tarsus. The anterior apex bears a double tarsus having the first three joints simple (3rd being enlarged). The 4th joint is of nearly double width and bears peripherally two claw-joints each with a pair of claws. From the structure Fig. 157. Eiirycejihahis maxil- losus. Eight anterior leg bearing an extra pair arising from the femur. E, the normal right. SL, supernumerary left. SR, super- numerary right, p, posterior sur- face, a, anterior surface of normal femur, a', a", the two structurally anterior surfaces of the extra legs. (In Eouen Mus.) 488 MERISTIC VARIATION. [part I. of these it was clear that they are a pair. When extended the three plantar surfaces are not truly in a horizontal plane, as they Fig. 158. Eros minutus, ~So. 746. The right fore leg seen from dorso-posterior aspect. P, posterior face. A, anterior face. This figure was drawn from the microscope and has been reversed. (From a specimen the property of Dr Mason.) should be in Position A, is exaggerated in the Dr Mason. but figure they are nearly so. Specimen very This deviation kindly lent bv 747. Aleochara maesta (Staph.) : middle left tibia has two articulations at apex. The posterior bears a tarsus normal in form but without claws. The anterior bears an extra tarsal series with a pair of rudimentary terminal joints, each having a pair of claws. Of this double tarsus the 3rd and 4th joints are not distinctly separated. The parts are in Position A. Specimen kindly lent by Dr Mason. 748. Meloe proscarabaeus $ (Heteromera). The apex of the femur of right hind leg is extended on the anterior side so as to form a second apex in the same hori- zontal plane. With this second apex articulates the common head of a pan- of extra tibiff each bearing a complete tarsus. As usual they are a right and a left respectively. The two extra legs are twisted out of their natural position so that they turn their ventral surfaces upwards. The tibia which in origin is remoter from the normal tibia is moreover bent over the nearer tibia so that it stands actually nearer to the normal tibia. In this way the morphological relations are obscured, but nevertheless on tracing the ventral surfaces up to the point of articulation with the femur it is clear that tbey arise in the normal position and that they have the relations marked in the Scheme for the Position A, which is their position of origin. As this case is a somewhat ubscure one, I may add that Dr Sharp, who has kindly examined this specimen, gives me leave to state that he concurs in the above description. This is the specimen described by von Heydex, Isis, 1836, ix. p. 761 and by Mocqcerys, . Aimnii. p. 52, fig., and was kindly lent to me by Dr L. von Heyden in whose possession it remains. 749. Cetonia opaca iLamell.): [right fore leg bears a pair of extra terminal tarsal joints very nearly iu Position A, arising from 4th tarsal joint. All the claws are turned ventralwards, but those of the extra joints are turned away from each other as well as downwards]. Mocquerys, I.e., p. 61. fin. *7 Prionus coriarius? numeral"? pair of tarsi (Longicorn), having parts of a super- rising from the middle right tarsus, and also a similar double structure arising from the posterior chap, xx.] EXTRA LEGS: POSITION A. 489 right tarsus (Fig. 159). This is a very important case as a clear 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 von Heyden.) PS, AS, posterior and anterior tibial spurs belonging to the normal leg. A'S', 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. Cases 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. 490 MERISTIC VARIATION. [part I. Right hind leg (Fig. 159, I), the tibia is dilated towards the apex which presents dorsally two emarginations instead of one as usual. On the ventral aspect of the apex there are two whole spurs PS, A"S" and a double one AS, A'S', between them. These spurs give the key to the nature of the structure. The proximal tarsal joint gives off a process on its anterior side and is then continued to bear a normal termination as shewn in the figure. The process from the first tarsal bears a second tarsal from which the termination has been broken off. The extra parts are as in the figure, being covered ventrally from edge to edge with papillae, and having no longitudinal cleft in the middle line like the 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 tibial 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 PS, and then three short anterior spurs, of which two are united for part of their length AS, A'S'. The extra sjmrs are thus both anterior spurs, 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- faces adjacent and suppressed. Right middle leg. (Fig. 159, II.) In 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 case 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 light 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 VON 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 oft'. For the loan of this specimen I am indebted to Dr L. VON Heydex, who originally described and figured it in Deut. ent. Zt., 1881, XXV. p. 110, figs. '11 and 28. In the two following cases there was nothing to differentiate chap. xx. J EXTRA LEGS: POSITION DA A. 491 the normal limb from the two supernumeraries, and the Position may either have been P or A. Focnius 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 right 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 at a very obtuse angle. From this fact, and from the equality in size 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 specimen was described by Mr Harrington in Can. Ent., 1890, p. 124, who was so kind as to lend it to me. | Agestrata dehaanii (Lamellicorn) : the coxa of the right anterior leg has two articulations, one anterior and tbe 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. Jan son.] (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 face is seen from the exterior. It is chiefly enclosed by embracing out- growths from the sternum, forming a socket in which it can be rotated like a ball. Upon its broad, exposed surface it is itself hollowed out to form a socket for the ball of the trochanter. 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 enables us to do this is the process (Fig. 160, p), 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 the femur. The 492 MERISTIC VARIATION. [part I. femur itself is flattened antero-posteriorly, having two broad surfaces, morphologically anterior and posterior, and two narrow surfaces which are extensor and flexor surfaces, or morphologically dorsal and ventral. By rotation of the coxa the whole leg may assume a great variety of positions, and it is thus of the utmost consequence that the nature of the surfaces be truly recognized. If the front leg be placed with the • III Fig. 160. Cerambyx scopolii, No. 753. I. The whole beetle seen from ventral surface. II. Details of right anterior coxa bearing extra trochanters and legs. In this figure the legs are rotated so as to shew that SR is an image of SL. III. The same, placed so as to shew that NL is an image of R. /i, process of coxa locking in the trochanter, srp, sip, corresponding processes for 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 SB 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 right 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 DAA, 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 SR and SL. For the loan of this beautiful specimen I am greatly obliged to M. Henri Gadeau de Kerville. Harpalus rubripes (Carabidae): left posterior tibia bears a supernumerary pair 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, tbe posterior being fashioned as a right. 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. Tbe position of oiigin and the relations of the surfaces to each other are almost exactly those which are 494 MERISTIC VARIATION. [part i. indicated in the Scheme for the position DAA. This specimen was described by M. A. Fauvel (Rev. d'Ent., 1889, p. 331) and was kindly lent by him for further examination. '55. Chrysomela banksii (Phytophagi) : right hind tibia bearing an extra pair of ' tarsi. The border of the tibia which corresponds in position to the ventral or flexor border of the normal tibia is covered with the hairs which characterize it in the normal limb; but the opposite border of this abnormal tibia is similarly covered with hairs, shewing that the anterior parts of at least two tibia? are included in it. A rigid process projects from the wide apex of the tibia. Upon the inner side of this process is the articulation for the tarsus, which from its direction and position appears to be the normal tarsus of the limb. Outside the process articulates a slightly smaller tarsus, which from its form and from the plane in which it moves is a left tarsus, flexing away from the normal one. At a point slightly external to this is the third tarsus, which is again a right tarsus and moves in a plane comple- mentary to the middle one. The two are therefore a pair. The position of origin is anterior and dorsal, being nearly that marked DA, but the relative positions of the extra tarsi are approximately DDA. As to the nature of the tibial process I can make no conjecture. (Fig. 161.) Fig. 161. Chrysomela banksii, No. 755. View of right hind tibia from posterior surface. A normal right hind tibia is shewn for comparison. (From Proc. Zool. Soc, specimen the property of Dr D. Sharp.) This specimen is the property of Dr Sharp, who was good enough to lend it to me. It was briefly described and figured by me P. Z. S. , 1890, p. 583, but 1 was not at that time aware of the complementary relation existing in these cases and failed to notice the somewhat inconspicuous differences which are evidence of it in this case. 756. Hylotrupes bajulus (Longic): right middle tibia bears a supernumerary pair of limbs having proximal parts in common. From the antero-dorsal surface of the base of the normal tibia, there arises a slender tibial piece which is not so long as the normal tibia and bears no spurs. At the apex of this supernumerary tibia, which is doubtless a double structure, articulate a pair of tarsi having their first and second joints compounded together. After the second joint the two tarsi separate from each other and each bears a pair of claws. The relative position of the two tarsi when they separate from each other is almost exactly that marked DA. It should be mentioned that the supernumerary parts central to the 3rd tarsal joints are not fully formed, being deficient in thickness, and the transverse separation between the 1st and 2nd tarsal joints is incomplete. Specimen first described by Mocqueiiys, Col. anorm., 1880, p. 53, fig. I am indebted to Dr L. von Heyden for an opportunity of examining it. (5) Position D. *757. Aphodius contaminatus , and ^p'^ spur representing compounded spurs LP'S, Standing posteriorly of RT and LT corresponding with the single and between the two extra sPur ps of normal, x, x, line of suture . , ,i ■ , between these two spurs. The limb is seen tarsi represents tneir two from the postei.ior surfaCe. (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, Deut. ent. Zt., 1876, xx. p. 378, fig. 13, and I am indebted to Dr Kraatz for an opportunity of examining it. 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 normal pair. The extra claws are three in number, two of them being small and standing at the anterior border of the limb, while at the posterior border there is one claw of larger size. This larger claw is really a double structure, which is clearly shewn by the 496 MERISTIC VARIATION. [part i. presence of two channels on its concave surface. Position of origin is therefore D, while the inclination of the extra pairs of claws to each other is about that required A. Fig. 163. Galerita africana, No. 758. Apex of right middle tarsus. A, anterior. P, posterior. V, ventral. (Specimen in Rouen Mus.) for the position DDA ; for the planes of the two pairs are not parallel but incline to each other at an acute angle. Specimen originally described by Mocquerys, Col. anorm., p. 64, fig. (6) Position DP. *759. Pyrodes speciosus (Longic.) ; having two supernumerary legs articulating with the thorax by a common coxal joint, which is distinct from the coxa of the left middle leg. but is enclosed in the same socket with it: In this remarkable case the normal leg is 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- liquely, 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 tills the space dorsal 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 apices, from which 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 legs are very nearly those indicated for the Position DP. The leg nearest the normal leg is of course a right leg in structure, and its plantar and a little of its structurally anterior surfaces are 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 are a little shorter and more slender than the middle leg of the other side. This specimen is in the Hope Collection at Oxford. CHAP. XX.] extra legs: position dp. 497 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 jwstero-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. 1 7* III Fig. 164. Carabus irregularis. I. Semi-diagrammatic view of left middle leg from antero-ventral surface. I1, the claws of normal left tarsus. r, 1-, claws of extra tarsi compounded together. Ih1, hair marking the dorsal surface between the claws. A, anterior. P, posterior. II. Dorsal view of apex of extra tarsus rh, Ih2, 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 tarsus 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 shapeless claw-like spines (c'c). The 4th joint bears a similar pair of claw-like b. 32 498 MERISTIC VARIATION. [part i. structures of smaller size (c"c"). Probably these should be considered as rudiments of extra tarsi ; but if this view is correct, it appears that two extra tarsi are present, arising from different joints. For the loan of this specimen I am indebted to Dr G. Kraatz, who first described and figured it in Deut. ent. Zt., 1877, xxi. pp. 57 and 63, tig. 27. 761. Chrysomela graminis (Phytophagi): the femur of the right middle leg bears a supernumerary pair of legs attached to the posterior and dorsal side of its apex. At this point there is an articulation with which the single proximal part of the extra pair of tibiae articulates. This piece, which is common to the two super- numerary tibia?, is a sub-globular, amorphous mass from which the two tibias diverge. Each of the two tibia? bears a complete tarsus, except that the most posterior has only one claw. In colour the two supernumerary tarsi differ from the normal, being brown instead of metallic green, but the tibia? are normal in colour. From the shape of the articulations and the arrangement of the pubescence, it is clear that the surfaces of the legs which are naturally adjacent are constructed as posterior surfaces, and the forms of the two are complementary to each other, the hindmost of the extra legs being formed as a left leg, while the foremost is a right leg. As they stand, however, the two tibia? are not in the same position relatively to the body, for the foremost is placed normally, having its plantar surface turned downwards, but the hindmost is rotated so that its plantar surface is partially turned forwards. The relative positions are nearly those marked DP in the Scheme, but the most posterior tarsus is more rotated than it should be according to that diagram. This condition may be to some degree connected with the presence of the amorphous growth at the base of the extra tibise. This specimen was kindly lent for description by Dr Mason. 762. Fimelia interstitialis (Tenebrion.) : left posterior femur bears two super- numerary tibia? arising from the postero-dorsal surface of its apex. These two are a pair, for the tibia nearest to the normal tibia is a right tibia, the remoter being a left. The adjacent surfaces are chiefly anterior surfaces in structure, but the ventral surfaces are inclined to each other at an obtuse angle. The position of the extra legs is almost that marked DP in the Scheme, but the inclination of the ventral surfaces of the extra legs is rather more acute than it would be in the Position DP. The tarsi are all broken off. Specimen originally described by Mocquekys, Col. anorm., p. 44, Jig. 763. Acinopus lepelletieri (Carab.): two extra legs arising from posterior surface of base of femur of /. middle leg. Prom position it seems that the most anterior is the normal, but this is doubtful. The arrangement is nearly that of Position DP, but as one of the femora is constricted and bent, the relations are rather irregular. Specimen first described by Mocqueeys, Col. anorm., p. 41, fig. (7) Position P. "764. Silis ruficollis ^ (Malacoderm) : right anterior femur bearing a supernumerary limb (Fig. 165). The coxa and trochanter normal. The femur is of about twice the antero-posterior thickness of a normal femur and at its apex presents two articulations in the same horizontal plane. Of these the anterior bears a normal tibia and tarsus, but the posterior bears an extra tibia which appears at first sight to be a single structure. This tibia is more slender than the normal one and is provided with four tarsal joints, the terminal one being withered and without claws. Upon closer examination it is found that this extra tibia is in reality made of the posterior surf aces of a pair of tibke not separated from each other. In this case the morphological duplicity of the extra tibia is capable of proof. For, as shewn in Fig. 165, II, the normal tibia is not bilaterally symmetrical about its middle line. On the contrary the anterior surface is differentiated from the CHAP. XX.] EXTRA LEGS : POSITION P. 499 posterior by several points. This may be seen in the spurs at the apex of the tibia, for the anterior spur (a) is long, but the a— 1 II in Fig. 165. Silis ruficollis, No. 764. I. The right anterior leg seen from ventral surface, a, anterior, p, posterior. This figure was drawn with the microscope and is reversed. II. Detail of apex of tibia of the anterior or normal tibia, shewing a, the anterior, and p, the posterior spurs. III. Similar detail of apex of the tibia of the extra limb, shewing^' and p", two structurally posterior spurs. posterior (p) is short (as is usual in the front leg of many beetles). The hairs on the surface of the tibia are also directed asymmetri- cally and the parting or division between them is not median, but is nearer to the anterior border (see figure). But in the extra part there is no such differentiation, and both surfaces are structurally posterior surfaces. The hairs part in the middle, and both spurs (p', p") are formed as posterior spurs. This extra structure is therefore made up of the two posterior borders of a right and a left tibia compounded together in Position P. (See diagram, Fig. 165, II.) This specimen was found by Dr Sharp amongst a number of insects collected by myself in his company at Wicken Fen on Sunday1, July 26, 1891. Such a case taken in connexion with others (e.g. No. 801) makes it certain that many cases of supposed " single " extra appendages are really examples of double extra parts. 1 A day or two before, the manuscript of this part of the subject had been put by with the remark that no good opportunity of thoroughly investigating a case of " single " extra leg had occurred, but that it could scarcely be doubted that traces of duplicity would be found in them. Considering the great rarity of extra ap- pendages in Insects, and remembering that even of the whole number very few are of the supposed " single " order, I have thought the occurrence of this capture a coincidence of sufficient interest to be worthy of mention. Dr Sharp tells me that amongst all the beetles that have gone through his hands only one case of extra appendage (No. 755) was seen. 32—2 500 MERISTIC VARIATION. [part i. 765. Scarites pyracmon (Carab.). At base of posterior face of the trochanter of left normal front leg, immediately above the cotyloid articulation was implanted an elongated lanciform joint. This joint was directed backwards and represented a pair of trochanters com- pounded by their anterior surfaces. With each of the two apices of this double trochanter was articulated a complete leg, in all respects formed as an anterior leg. The two moved as a complementary pair. [Details given. This is one of the earliest and best described cases. Asmuss1 in quoting it points out that the description and figure plainly shew that the two extra legs were a pair, a right and a left, respect- ively. They were in fact a pair, arising from the posterior surfaces of the normal leg, and presenting their anterior surfaces to each other.] Lefebvre, A., Guerin's Mag. de Zool., 1831, Tab. 40. 766. Geotrupes mutator (Lamellicorn) : two supernumerary limbs arising from femur of right anterior leg. Femur greatly widened, upon posterior border giving off a large prominence which divides into two processes at right angles to each other. Each of these processes bears a normal tibia and tarsus, but the foremost of these tibia? is shaped as a left tibia, having its serrated border placed anteriorly, while the other extra tibia is formed as a right tibia, having its serrated border placed posteriorly. [The pair of limbs arise from the posterior surface of the normal limb and have their anterior surfaces adjacent, as in Position P.] Frivaldsky, J., Term. Fiizetek., 1886, x. p. 79, PI. 767. Fterostichus lucublandus ? (Carabidae): third tarsal joint of left middle leg at apex presents wide articular surface. On this stands a triple 4th joint, made up of a single anterior portion, bearing the rest of the normal tarsus and a posterior portion, double in structure, the two parts being completely united. The single anterior part of this 4th joint bears a normal 5th joint with claws. The double posterior part of the 4th joint bears a pair of separate 5th joints, each having a pair of claws. Of these the anterior is perfect, but the peripheral part of the posterior 5th joint is crumpled, so that its claws are twisted out of position, but at its base it stands exactly as the normal 5th joint, and as the 5th joint of the anterior extra tarsus, all three being in the same horizontal plane. These extra parts, therefore, are in the Position marked P in the Scheme and have the relations there indicated for that position. This specimen was kindly lent to me by Mr Harrington, who first described it Can. Ent., 1890, xxn. p. 124. (8) Positions VPP to VVP. *768. Ceroglossus valdiviae, Chili (Carabidee): left anterior tibia bearing a pair of supernumerary legs. The tibia widens, and in its middle part gives off posteriorly and ventrally a wide branch having the form of a pair of tibial apices compounded together. The double tibia bears two tarsi (Fig. 166, R', L') having a common proximal joint, but these have unfortunately been broken, two joints being missing from the one and three from the other. The legs are a right and left as usual, and they stand in the relative positions marked VPP in the Scheme. This is a very simple and striking case, for the animal is of good size and the parts are well formed. The two tibial spurs which are adjacent in the two extra tibiae are compounded so as to form a double spur with two points as shewn in the figure. As shewn for the Position 1 Monstrositates Coleopterorum, 1835, p. 44, PI. 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. 166. Ceroglossus valdivia, No. 768. Left anterior tibia with extra parts seen from the ventral surface. L, the normal left tarsus. R' and L', 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 no structurally anterior surfaces, for these are adjacent and un- developed. This specimen was kindly lent by Mr E. W. Janson. Silpha nigrita (Heteromera): from right middle femur arises a pair of legs which are completely united as far as the apex of the last 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 ventral surfaces. They are turned chiefly forwards, but are inclined to each other at an acute angle. The surfaces, therefore, which are adjacent in this pair of legs, and which are consequently obliterated, are chiefly the morphologically anterior surfaces and to some extent the dorsal surfaces. The plantar or ventral surfaces of the last tarsal joints are inclined to each other rather more obtusely than those of the tibia?, 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 first described and figured by Mocquerys, Col. anorm., p. 43, Jiff. 502 MERISTIC VARIATION. [part I. Fig. 167. Silpha nigrita, No. 769. Eight middle femur bearing a compounded pair of extra legs, r, ventral surface of nearer extra leg. V, ventral surface of the remoter extra leg. (In Rouen Mus.) 770. Tenthredo solitaria (Sawfly): tibia of right middle leg divides in peripheral third to form two branches, of which the anterior bears the normal tarsus. The posterior branch arises from the postero-ven- tral surface of the normal and bears a double tarsus consisting of the posterior parts of a pair compounded in Position VP, almost exactly. Tibial spurs as in Fig. 166. The compound tarsus has only 4 joints, the 5th 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 apical processes, the one anterior and the other posterior. The anterior of these bears a normal, backwai^dly directed tarsus, but the posterior process bears two tarsi by separate articulations. The anterior of these two tarsi is directed forwards to face the tarsus of the other apex, but the posterior tarsus is backwardly directed. [From its attitude it is clear 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 the anterior or to the posterior. Position either VPP, or DAA, pro- bably the former.] Kuaatz, Dent. ent. Zt,, 1880, p. 344, tig. 33. /72. Anthia sp. (Carabidffl): left posterior tibia bearing two supernumerary tarsi. The postero-ventral side of the apex of the tibia is dilated so as to form a triangular projection, causing the point of articulation of the normal tarsus to be raised upwards. The projection bears two tarsi of which the posterior curves downwards and backwards, being fashioned as a left tarsus while the anterior curves forwards and slightly upwards being a right tarsus. These two tarsi have unfortunately been broken but were presumably complete. The whole apex of the tibia bears five spurs instead of two, but the relation of the spurs to the separate tarsi was not clear. The chap, xx.] EXTRA LEGS : UNCONFORMABLE CASES. 503 tarsi are very nearly in the Position VPP. Specimen very kindly lent by Mr E. W. Janson. 773. Julodis rcquinoctialis (Buprestidas) : 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 Mocquerys, Col. anorm., p. 47 Jig. Metritis contractus (Garab.) 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 leugth. 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. ¥., Trans. Amer. Ent. Soc, 1880, vin. p. 156, PI. iv. figs. 3 and 3 a. Aromia moschata ? (Longicorn) : right anterior coxa bearing a pair of super- numerary legs having trochanter and the proximal half of the femur in common. The normal leg and the extra ones were all somewhat reduced in size but were complete. The extra leg adjacent to the normal is a left leg. [Prom 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., Naturiv. Wochens., 1889, iv. p. 169, jigs. (9) Two cases not conforming to the Scheme. Two cases of double supernumerary tarsi require separate con- sideration. The arrangement in both of these cases departs from that which is usually followed, but it will be seen that there is considerable though imperfect agreement between the two ex- ceptions. Both of these occur in the anterior legs of males of the genus Galathus, 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 modification affects the anterior legs only, and is found in several genera of Carabidae, being especially pronounced in Galathus. 504 MEMSTIC VARIATION. [part i. In order to appreciate the nature of these cases it is necessary that the anatomy of the parts should be understood. The apex of the tibia in the simple form, e.g. the second or third leg in Carabus, bears two large articulated spurs. The two spurs are ventral to the articulation of the tarsus, and one of them is placed at the anterior border of the tibial apex while the other 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 Carabus the beginning of such a change can be seen, but in Pterostichus and especially in Calathus 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 of 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 Calathus is examined. It was laid down as a principle generally followed in cases of double extra appendages, that the three terminations, when ex- tended, 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.] EXTRA LEGS : CALATHUS. 505 Calathus graecus £ (Carabidre): left anterior tibia bearing a pair of supernumerary tarsi compounded together. The diagram, Fig. 169, I, shews, in projection, the relations of the parts round the tibial apex. As has been explained, the posterior spurs P1, P2 and P3 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 grcecw, No. 776. Left anterior tibia bearing a double extra tarsus. LT, normal tarsus. RT, L'T, extra pair of tarsi. LAS, LPS, normal anterior and posterior spurs. L'A'S', L'P'S', anterior and posterior spurs belonging to L'T. RAS, RPS, anterior and posterior spurs belonging to RT. x, x, dotted line indicating plane of morphological division between extra tarsi, xx, xx, plane of division between the normal and RT. (Specimen the property of Dr Kraatz.) 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 of the spurs shews that it is the anterior surfaces which are morphologically adjacent to each other, for the spurs are arranged in the series A2P', 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 M8 respectively, and these are almost at right angles to each 506 MEBJSTIC VARIATION. [part t. other. The present case therefore is very different from those hither- to described, for in them the planes of reflexion were nearly or quite parallel. Whether this difference in the Symmetry of the extra parts may be connected with the departure of the normal tibia from its own customary symmetry cannot be affirmed, but such a possibility should be borne in mind. This specimen was kindly lent to me by Dr G. Kraatz, who first described it in Deut. ent. Zt., 1877, xxi. p. 62, fig. 23. Dorsal pi' \Mi Ventral PonteriOT II Anterior Fig. 169. I. Ground-plan of tibial apex of Calathus grtecvs, No. 776. II. Similar ground-plan of the tibial apex of Calathus cisteloides, No. 777. In each case the spurs are conceived as projected upon one plane, t1, the normal tarsus. A1, P1, its anterior and posterior spurs, t-, A2, P2, similar parts of nearer extra tarsus, t3, A3, Ps, similar parts of remoter extra tarsus. IP, plane of reflexion between t1 and t2. M2, plane of reflexion between t2 and ts. *777. Calathus cisteloides ^ (Carabidse): 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 tibial apex. The apex is produced anteriorly so as to form a wide expansion which bears the common articulation for the double tarsus. This produced portion is of course formed by the composition of parts of a pair of tibia?. It is noticeable that the three tibial apices which enter into the formation of the general apex are in one respect not actually images of each other. For the angular distances between A1 and P1, and between A* and P2, are exceedingly small, being far less than in a normal tibia of the species, and in fact the grooves running from each anterior 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 tr and t3 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 Heyden and was first described and figured by Mocquerys, Col. anorm., 1880, p. 65, fig. 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 Carabidw. 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. 77 a. Calathus fulvipes left chela. L, the normal. lr j , • • ■ ■ i L', presumably extra right and left and measurements given m original, ch'el^ x> ext^.a chela 0bf uncertain q. V.] CANTONI, Rend. R. 1st. Lomb., nature. (After Cantoni.) 1883, xvi. p. Til, fig. 538 MERISTIC VARIATION. [part I. Fig. 196. Proximal parts of the right nurus vulgaris, No. 828. Ill, extra C. Antennce. *828. Palinurus vulgaris : right antenna bore three complete filaments. So far as last spiny joint (merocerite) normal. Of this joint the peripheral portion much enlarged, presenting two articulations. The most posterior bore a normal carpocerite and fila- ment (Fig. 196, 1). The anterior articulation bore a double carpo- cerite with two filaments (II and III). As author points out, II is structurally a left antenna. [By the kindness of M.Alphonse Milne Edwards I have been allowed to examine this specimen. I am not sure that I succeeded 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 from those of any of the Schematic antenna^of >S positions, for while the position I, the normal. II, extra left of origin is V VA the two extra ri8nt- (After Leger.) antennas stand very nearly in the Position DA.] L£ger, Ann sci. nat., Zool, 1886, S. 7, I. p. 109, PL 6. *829. Astacus fluviatilis : exopodite of left antenna(Fig. 197)bears two supernumerary points, R' and L', which seem to have been inserted upon the internal border of the normal exopodite. Stamati, G., Bull. Soc. Zool. France, 1888, xm. p. 199, Jig. Amorphous Cases. As has been stated, there are many cases, recorded or preserved, in which the nature of the parts cannot be made out. The majority of these are, I believe, injured or deformed limbs, and not cases of repetition of parts. Nevertheless of the latter class there are un- tilis having extra points to t , , ,. , „ , , exopodite ol left antenna. R, doubtedly some amorphous cases, though they normal right. L, normal left. are far less common than regular ones, even R', L', extra right and left. as normal structures are more common in their (After Stamati.) regular shapes than in a deformed state. I mention the following as being, I think, the earliest record of abnormalities of this class. 830. Homarus : left chela having irregular process on inner border of dactylopodite, and two irregular processes on inner border of index. [No description.] Bernhardus a Berniz, Miscell. Curios., Jena, n. 1671, p. 175, Obs. ci. PI. MBfcflll ■ Fig. 197. Astacus fluvia- CHAPTER XXII. Duplicity of appendages in Arthropoda. 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 vertebrae (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 limb-bud might divide into two ; but the two half- segments or half-vertebras 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 xxm). 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. Ziissotriton punctatus (Newt) : left pes having 10 digits in two groups, 6 and 4. Coll. Surg. Mm., Ter. Ser.. 293, a [not dissected]. Protopterus annectens : rt. 540 MERISTIC VARIATION. [part i. On the morphology or significance of duplicity in limbs I can make no comment beyond the few remarks given on p. 406. It is just possible that in Nos. 832 to 834 the duplicity of the chela or of the index is a division in the middle line of a Bilateral Minor Symmetry ; for some chelce are peripherally very nearly symmetrical about the plane of the dactylopodite and index. In Arthropods double-limbs are no less rare than in Vert- ebrates, for though in various works there are some scores of cases to be found, the great majority may be safely rejected as being almost certainly cases of double extra parts in Secondary Symmetry having their duplicity disguised as we saw it in Nos. 750, 764, or 801. By most of those who have dealt with these things the possibility of disguised duplicity in the extra part has been unheeded ; and ignorant of the special difficulties of these cases they have thus set down specimens as examples of duplicity of appendages at a casual glance. For this reason therefore I 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. 198, II 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 were dorsal and ventral to each other [cp. No. 503]. Albrecht, Sitzb. Ak. Wiss. Berl., 1886, p. 5-45, PI. vi. Silurus glanis : extra fin attached to pelvic girdle and partly to rt. pelvic fin. Warpachowski, Anat. Anz., 1888, in. p. 379, fig. Rana esculenta : left hind foot double; rt. not seen [a very clear case]. Ercolani, Mem. Ace. Bologna, 1881, S. 4, in. p. 812, PI. iv.fig. 11. In Raiidae a group of cases of extra fin are known. They are upward projections from the dorsal surface near the middle line. They are often spoken of as "dorsal" 7902 fins, but in the only case I have seen (Paris Mus. N. H., — — , kindly shewn me by A. Prof. L. Vaillant) the attachment is not really median but is slightly oblique, and seems, from external examination, to spriug from some part of the pectoral girdle (? left scapula). See Lacepede (who named such a fish "Raja cuvieri"), Hist. nat. des Poiss., 1798, i. p. Ill, PL vn.; Neill, Mem. Went. Soc., 1808, i. p. 551; Moreau, Poiss. ale la France, 1881, i. p. 206. In these fishes the real dorsal fins were in the proper place (though in some species they may be far forward, Forskal, Deter. Anim. in itin. Orient., 1775, i. p. 18). This repetition is of course quite distinct from that other curious and also Discontinuous variation in which the pectorals are partly divided into two lobes (R. clavata, Yarrell, Brit. Fish., ed. Hit 'hardson, 1859, ii. p. 585) ; or are separated from the head so as to project like horns on either side, as in last case ; and also in R. clavata, Yarrell, ibid. ; p. 384 ; Day, Brit. Fi--\ D2, two partially separate dactylopodites. I1, I2, two partially separate indices. (In Newcastle Mus.) 542 MERISTIC VARIATION. [part I. JC Fig. 200, I. Homarus americanus, right chela, No. 833. (After Faxon.) II. Lupa dicantha, left chela, No. 836. LI), LI, left dactylopodite and index. x, supernumerary index. (After Lucas.) making angle of about 45° 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. C. Stewart. Fig. 201. Eight chela of Maia squinado, No. 835. The following are cases very similar to Nos. 834 and 835. 836. Lupa dicantha, left chela (Fig. 200, II). Lucas, Ann. Soc. ent. France, 1844, 8. 2, n. p. 43, PI. I. fig. 1. 837. C. pagurus, right chela, 2 cases, le S&jechal, Bull. Soc. Zool. France, 1888, xin. p. 125, Jig. 2. 838. Xantho punctulatus, left chela (Fig. 202) in which the index divided at about its middle to form two similar and equally diverging blunt processes. Herklots, Arch, need., 1870, v. p. 410, PI. x. 839. Homarus americanus : right chela bearing an extra index. Dactylopodite does not meet the normal index. [Very doubtful if of same nature as foregoing cases.] Faxon, I.e., PI. i. fig. 14. The following cases are exceptional. 840. Homarus vulgaris : right chela has coxopodite single ; but basi- chap. XXII.] DOUBLE APPENDAGES : ARTHROPODA. 543 Fig. 202. Xantho punctulatus. Two views of left chela of No. 838, shewing the division of the index. (After Herklots.) poclite is wrinkled and has two apical articulations, each bearing a small chela ; both are soft and not calcified, having articulations indicated by furrows only. [No information as to planes.] Richard, Ann. Sci Nat, 1893, p. 106. 841. Homarus americanus : right chela having a short articulated process below the dactylopodite moving in plane at right angles to it. [?a double structure]. Faxon, Harv. Bull., vm. PI. i. fig. 12. 842. H. americanus : toothless process articulating below dactylopo- dite, moving in plane at right angles to its plane of motion. It articu- lates upon a separate process given by the propodite. [It is difficult to suppose that this extra process can be double.] Faxon, /. c, PI. i. %• 6. Mr G. Dimmock of Canobie Lake, N. H. has kindly sent me word of a Gelasimus having a chela of very anomalous form. Both index and dactylopodite are said to have been bifid, but the filane of division was at right angles to the plane of the dactylopodite and index, so that all four points were in one plane. This specimen has unfortunately been destroyed ; but Mr Dimmock tells me that the arrangement was certainly thus, and that the unusual difficulty of bringing this case into agree- ment with others was recognized in examining it. INSECTS. Among the following 110 cases which all either have been or might be called cases of " duplicity " of legs, antenna?, or palpi, there is, I think, not one clear case of unmistakeable duplicity, such as for instance those of the chelae in Nos. 831 or 832. They should thus be considered as cases in which the extra parts have not been or cannot be shewn to be double, rather than as examples of proved duplicity of normal appendages. In every case that I have myself properly examined, it is either possible to prove the duplicity of the extra parts ; or else essential features {e.g. spurs &c.) by which a right appendage may be told from a left are wanting. Nevertheless the few straight- forward cases of double-limbs in Crustacea keep one alive to the possibility that some of these also may be the same. The most probable cases of true duplicity of limbs are Nos. 844, 846 and 851. 544 MERISTIC VARIATION. [part I. *843. 1. Legs. Prionus californicus (Longic.) : each femur bore two tibire and tarsi ; both maxillary palps and also the left labial palp were partially double (Fig. 203). [No statement as to right labial palp. This shewn in fig. much thicker than left, but on com- Fig. 203. Prionus californicus, No. 843, having extra legs and palpi. (After Jayne.) paring with a specimen it seems to be of normal thickness.] In some of the legs the two tibiae are compounded at their bases, in others they articulate separately. [Several details given ; and in particular, enlarged views of the palpi and of the bases of the tibiae But as no details are given regarding the apices and apical spurs of the tibire nothing can be said as to symmetry. It will be remembered that we have already had a case of a Prionus, No. 750, which similarly was supposed to have two of its legs double ; but there by means of the tibial spurs it was shewn that the extra part was in Secondary Symmetry. Possibly enough the same could here be shewn. It is much to be hoped that this specimen can be traced.] Jayne, H. F., Trans. Anier. Ent. Soc, 1880, viil. p. 159, fig. 12. 844. Allantus sp. (Tenthred., Sawfly) : extra leg borne by coxa of right middle leg. This coxa is imperfectly double, bearing two separate trochanters. Of these the anterior bears a small leg which, though ill formed, is complete in all its parts, but has the tarsal joints of abnormally small size. The posterior trochanter bears a legf of full size. Its femur curves forwards and then backwards. The femur of the smaller leg curves for- chap, xxii.] DOUBLE APPENDAGES : INSECTS. 545 wards, but its tibia curves backwards. The femora are so twisted that I failed to determine the symmetry of these legs ; and while it was clear that neither was a normal left it was equally doubtful whether either was shaped as a right. Of all cases in Insects this is one of the nearest to the condition of true duplicity. Hope Collection, Oxford. 846. 847. 845. Carabus intricatus : middle right femur is partially bifid, pre- senting two apices in the same horizontal plane. The anterior apex bears a tibia and tarsus of nearly normal form. The other apex bears a tibia and tarsus of full length but much more slender than a normal one. This leg was ill-formed. The tibia bore no spurs, and there was no indication as to its symmetry, and nothing shewed that it was a right or a left leg. It is stated in the original description that the two legs could be separately moved and that both assisted in locomotion. Originally described by Mocquerys, Col. anorm., p. 45, Jig. Melolontha vulgaris : right anterior leg divided to form two legs. The femur dilates in peripheral third to form two apices, each bearing a tibia. These two tibiae are at right angles to the femur and are together in the same straight line, the one pointing forwards and the other backwards, each tibia turning its ventral or flexor surface towards the femur. The anterior tibia carries a tarsus of 4 joints with claws, while the posterior tibia has a normal tarsus of five joints. For a figure of this specimen and particulars concerning it I am in- debted to Professor Alfred Giard. Leptura testacea (Longic): in tarsus of left middle leg the 2nd joint presents two apices (Fig. 204). The posterior bears normal 3rd and 4th (terminal) joints with a proper pair of claws. The anterior apex bears a narrow 3rd and 4th joint, the latter having only a single median claw [cf. No. 848]. Kraatz, Deut. ent. Zt., 1876, xx. p. 378, fig. 14. 848. Tetrops praeusta (Longic.) : right anterior femur widened towards apex, which presents two articulations in same horizontal plane. Each of these bears a tibia. The post- erior tibia and tarsus are complete in all respects, but they flex downwards and back- wards. The anterior tibia has a normally 4-jointed tarsus, but the apical joint bears only one claw, and there is no sign of muti- lation [cp. No. 847]. Were it not for the closely similar case of Silis No. 764 there would be no reason to doubt that this is a true case of duplicity, but that example shews how masked may be the doubleness of extra parts ; and though I could not prove either of these legs to be double I feel no certainty that one of them is not double. Specimen very kindly lent for descrip- tion by Mr F. H. Waterhouse. r. 35 Fig. 204. Leptura tes- tacea, No. 847. Tarsus of left middle leg from the plantar surface. (The pro- perty of Dr Kraatz.) 546 MERISTIC VARIATION. [part i. 849. Chlaenius holosericus (Carab.): left anterior tibia enlarged and dividing close to base into two branches of similar form and length [curving towards each other], both equally furnished with hairs and bearing spines characteristic of the species. Anterior branch bears a complete tarsus like that of a leg of the other side, but posterior branch bears only one tarsal joint. Camerano, Atti Ac. Sci. Torino, 1878, Xiv. fig. *850. Brachinus crepitans (Carab.) : 3rd joint of right posterior tarsus enlarged ; 4th joint divides to form two apices (Fig. 205), each bearing separate 5th joint in same horizontal plane. Each of these has a pair Fig. 205. Eight hind foot of Brachinus crepitans, No. 850. A, anterior. P, posterior. E, the supposed normal right apex. (In Eouen Mus.) of claws curving ventralwards. The two apical joints are not identical, the anterior being the shorter and continuing the general direction of the tarsus. I could not determine the symmetry. When examined by me the specimen was intact, but in cleaning it I broke this abnormal leg. First described by Mocquerys, Col. anorm., 1880, p. 63, fig. The two following cases differ from the rest in that the extra leg arose from the body separately from the normal leg. Among the cases of extra limbs in Secondary Symmetry were a few in which the coxa of the extra limbs was in the same socket as the coxa of a normal leg, though not united to it ; but in the first, and perhaps in both of the two cases that follow, the extra leg was wholly separate. The first case, No. 851, is the only one of the kind that I have seen. '851. Tenthredo ignobilis (Tenthred., Sawiiy) : 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 body'. The leg is fairly well formed, but is a little shorter and a good 1 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. 547 852 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 size 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. Elater variabilis (Elat.): complete extra leg articulating by separate coxa close to right anterior leg. Germar, E. E., Mag. der Ent., ii. p. 335, PL 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.] 853. This is a list of all remaining cases in which it is duplicity of a leg. The point of origin is shewn * , seen by myself. J, partly amorphous or R, right. L, left, tr., trochanter, f, femur, tb, * J Osmoderma eremita1 (Lamell.) L 1. c. IVIallodon sp. (Longic.) R 3. c. Pasimachus punctulatus (Carab.) L 2. tr. Broscus vulgaris (Carab.) R 1. tr. Agonum sexpunctatum (Carab.) R 3. f. % Carabus septemcarinatus S R3. f. % Carabus nemoralis L 3. f. Carabus creutzeri ? L 1. f. Procrustes coriaceus- (Carab.) R3. f. IVTeloe coriaceus (Het.) L 1. f. 0 Carabus helluo R 1. f. 0 Trichodes syriacus (Cleridae) R 1. f. J Chrysomela haemoptera (Phyt.) ? 3. f. is in any way possible that there approximately, mutilated. 0, no description, tibia, ts, tarsus. Mocquerys, Col. anorm., 1880, p. 46, fig. ibid., p. 50, fig. Jayne, Trims. Amer. Ent. Soc, 1880, vm. p. 156, PI. iv. fig. 4. Imhoff, Ber. Verh. not. Ges. Basel, 1838, in. p. 3. Schneider, Jahresb. schles. Ges. vaterl. KuUur, 1860, p. 129. Kraatz, Dent. ent. Zt., 1877, xxi. p. 57, PI. i. fig. 32. Otto, Herm., Term.j 'iizetek, 1877 , i. p. 52, PI. ii. Kraatz, I. c, fig. 31. Mocquerys, I. c, p. 55, fig. St annius, Miill. Arch. Anat.Phys., 1835, p. 306, fig. 11. Rey, Ann. Soc. Linn, de Lyon, 1882, xxx. p. 423. ibid. Curtis, Brit. Ent., PI. Ul,fig. 5*. state explicitly that there was no conceivable doubt as to the genuineness of the abnormality. When received by me it was absolutely natural and had not been in any way mended. 1 Probably this is the specimen mentioned byBELLiER de la Chavig-nerie, Bull. Soc. ent. France, 1851, S. 2, ix. p. lxxxii. 2 See also Klingelhofer, Stet. ent. Zt., 1844, v. p. 330. 35—2 548 MERISTIC VARIATION, [part X Chlaenius diffinis (Carab.) L 2. tb. Rbagium mordax (Lougic.) II 2. tb. Agabus uliginosus (Dytisc.) R 3. tb. * X Acanthoderes nigricans (Longic.) Colymbetes adspersus (Dytisc.) Friend, H., Nature, 1893 (1), p. 397. 36—2 564 MERISTIC VARIATION. [part I. *86S, to below, in evidence that the total number of cases is considerable. There are only two certain cases of double head (see Typosyllis, No. 868, and Allolobophora, No. 873). POLYCH/ETA. 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. 872. Fig. 208. Typosyllis variegata, No. 868, having two small heads. (After Langerhans.) appearance suggested that the original head had been broken off and that two new ones had grown in its place. Langerhans, P., Nova Acta Ac. G. L. C, xlii. p. 102, PL Nereis pelagica : bifid posteriorly. Bell, F. Jeffrey, Proc. Zool. Soc, 1886, p. 3. Salmacina incrustans (Serpulida?) : posterior end double. [Two tails shewn in figure as of equal length and in the same straight line, at right angles to the body. The arrangement of the segmentation at the junction is not clearly shewn.] Claparede, Mem. soc.phys. et d'hUt. nat. Geneve, xx. 1869—70, p. 177, PI. xxx. fig. 5 f. Procer.-ra tardigrada (Syllidffi) : tail double; two specimens. In one of these the tails were nearly equal, but one had no anal cirri. Andrews, E. A., Proc. U. S. Nat. Mus., 1891; xiv. p. 283, and Amer. Nat., 1892, xxvi. p. 729, PI. xxi. Brancniomma sp. (Sabellidffi) : two posterior ends, one being rudimentary. Brunette, Trav. Stat. Zool de Cette, 1888, p. 8 [quoted from Andrews, /. c] [With these conditions compare Syllis ramosa, a form found by the Challenger in two localities, inhabiting a Hexactinellid .Sponge. The body of this creature con- sisted of vast numbers of branches, about as thick as thread, passing off at right angles, coiling upon each other and forming inextricable masses. In some specimens no head was found, but a single head was afterwards discovered. It seemed likely that large tracts of the body have no head, but there was no evidence to shew how many heads occur in the colony. Many female buds were found, and a single complete male. McIntosh, Chall. Rep., xn. p. 198, PL xxxi.] chap, xxiv.] AXIAL DUPLICITY : INVERTEBRATES. 565 Oligoch^ta. 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 prostomium, peristomium and one more segment which rests on the peristomium of the normal body. Friend, H., Science-Gossip, 1892, July, p. lQl,fig. Ctenodrilus monostylos : double tail ; in many hundreds examined, three cases seen, Zeppelin, Z.f iv. Z., 1883, xxxix. p. 621, PI. 36, figs. 18 and 19. Lumbriculus variegatus : similar cases, von Bulow, Arch. f. Naturg., 1883, xlix. p. 94. Acanthodrilus sp. : case of two tails arising from a much thicker anterior portion. Such worms were believed or alleged to be common in a par-ticular district in New Zealand. Kirk, T. W., Trans. N. Zeal. Inst., xix. p. 64, PI. Earthworms generally, belonging to genera Lumbricus, or Allolobophora : cases of double tail recorded, as follows : Robertson, C, Q. J. M. S., 1867, p. 157, fig.] Horst, Notes Leyd. Mus., vn. p. 42; Thompson, W., Zool., xi. p. 4001 ; Bell, F. Jeffrey (2 cases), Ann. & Mag. N. H., 1885 (2), p. 475, fig.; 'Friend, H., Sci.-Gossip, 1892, p. 108, figs. ; Marsh, C. D., Aimer. 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. II. S., 1871; Broome, Trans. N. H. S. Glasgow, 1888, p. 203 ; Foster, Hull. Sci. Clnb, 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 symmeti'ical 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, fig. 879. Euscorpius germanicus (Scorpion) : tail double from 4th prae- abdominal segment [figure represents each abdomen with one segment too few, presumably an error]. Pavesi, P., Rend. R. 1st. Lomb., S. il, xiv*. 1881, p. 329, fig. 880. [Scorpio africanus :] specimen with two tails. Seba, Rerum Naturalium Thesaurus, 1734, i. p. 112, PI. lxx. fig. 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 ccenurus : 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 566 MERISTIC VARIATION. [part I. 882, 883. form is known to occur in many kinds of Tapeworms, and especially in Cysticerci. Leuckart, Parasiten d. Menschen, pp. 501 — 2, cp. p. 577. [Case with ./foe suckers mentioned, ibid., p. 578.] In another form of abnormality the chain of segments has three longitudinal flanges, 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. Leuckart, ibid., p. 574. Cp. Cobbold, Trans. Path. Soc, xvn. p. 438; Levacher, Comptes rendus, 1841, xni. p. 661. 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. Moniez, Bull. Sci. do Kord, x. p. 201. See also Taenia saginata ? Leuckart, I. c, p. 573. Brachiopoda. Acanthothyris spinosa (Rhynchonellida?): case of duplicity i n Fig. 209. Acanthothyris spinosa, No. 883. Case of duplicity. (From P. Fischer.) I. Seen from ventral valve. II. Looking between the valves. as shewn in Fig. 209. Fischer, P., Jour, de Conchyl. S. 3, xix. p. 343, PL xni. figs 4—7. HOLOTHURIOIDEA. 884. Cucumaria acicula : specimen made up of two individuals cohering laterally at posterior ends. Schmeltz, Verh. d. Ver. f. naturw. Unterhaltung, Hamb., 1877, iv. p. xv. 885. Cucumaria planci : ease of second mouth and ring of tenta- cles borne on a lateral bud-like projection. LUDWIG, H., Z. f. w. Z., liii. Supp. p. 21, PI. v. 886. Ccelexterata. Forms which are commonly simple, such as Actinia or Sagartia, 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. xxi., &c. See also Gcyox, Zoologist, p. 7026, fig. Similar occurrences, not distinguishable from budding, have been seen in Medusa?, e.g., Phialidium variabile, Davidoff, Zool. Anz.. iv. p. 620, fig.; Gastro- blasta raffaeli, Lang, A., Jen. Ztschr., xix. p. 735. An interesting case of this kind * was seen in Cordylophora lacustris. Several polystomatous specimens were found on a particular mass of Cordylophora, but were not found on all colonies gathered with this mass and had not been seen previously in specimens from the same locality. [Further particulars.] Price, H., Q. J. M. S„ 1876, p. 2d, figs. Protozoa. Double and triple monstrosity has been seen in several Foraminifera, seee.gr., Dawson, Gonad. Nat., 1870, p. \77, Jigs.; Balkwill and Wright, Trans. R. Irish Ac, 1885, xxviii. p. 317, PI. xiv., Arc. [As to cases in Stentor, see Balbiani, J. de Vanat., 1891, No. 3, but these are doubtless examples of regeneration and duplicity following injury.] CHAPTER XXV. Concluding Reflexions. To attempt at this stage any summary of conclusions would be misleading. The first object of this work is not to set forth in the present a doctrine, or to advertise a solution of the problem of Species, but rather to bring together materials that may help others hereafter to proceed with the solution of that problem. A general enumeration of particular conclusions is therefore to be avoided. Indeed, from the scantiness of the evidence, its present value is chiefly in suggestion, and the facts must therefore be themselves still studied in detail. The reader must interpret as he will. But, as often happens, that which may not shew the right road is enough to shew that the way taken has been wrong, and so is it with this evidence. Upon the accepted view it is held that the Discontinuity of Species has been brought about by a Natural Selection of particular terms in a continuous series of variations. Of the difficulties besetting this doctrine enough was said in the introductory pages. These difficulties have oppressed all who have thought upon these matters for themselves, and they have caused some anxiety even to the faithful. And if in face of the difficulties reasonable men have still held on, it has not been that the obstacles were unseen, but rather that they have hoped a way through them would be found. Now the evidence, of which a sample has been here presented, gives hope that though there be no way through the difficulties, there is still perhaps a way round them. For since all the difficulties grew out of the assumption that the course of Variation is continuous, with evidence that Variation may be discontinuous, for the present at least the course is clear again. Such evidence as to certain selected forms of variations has, I submit, been given in these chapters, and so far a presumption is created that the Discontinuity of which Species is an expression ( has its origin not in the environment, nor in any phenomenon of Adaptation, but in the intrinsic nature of organisms themselves, manifested in the original Discontinuity of Variation. But this evidence serves a double purpose. Though some may 568 MERISTIC VARIATION. [part ,v>" X v- \y> r doubt whether the variations here detailed are such as go to the building of Specific Differences (a doubt which, it must be granted, does fairly attach to some part of the evidence), yet the existence of sudden and discontinuous Variation, the existence, that is to say, of new forms having from their first beginning more or less of the kind of perfection that we associate with normality, is a fact that disposes, once and for all, of the attempt to interpret all per- fection and definiteness of form as the work of Selection. The study of Variation leads us into the presence of whole classes of phenomena that are plainly incapable of such interpretation. The existence of Discontinuity in Variation is therefore a final proof that the accepted hypothesis is inadequate. If the evidence went no further than this the result would be of use, though its 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 definiteness 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 grpatov stability rliapPTirln primfuTJy~rmt rrr^fl^^ja^^^^^^^ organism and environmenj^_not, that is_to_say, onAdaptation, bu t Qn-4Lhe^iscontinuTEy^F\7a.rifltion. Tt suggests in brw.YlJmt th e Discontinuity of Speciesj^esults_fromJJw^i ion!) This suggestion is in a word the one clear and positive indica- tion borne on the face of the facts. Though as yet it is but an indication, there is scarcely a problem in the comparison of structures where it may not be applied with profit. The magnitude and Discontinuity of Variation depends on many elements. So far as Meristic Variation is concerned, this Discontinuity is primarily associated with and results from the fact that the bodies of living things are mostly made up of repeated parts — of organs or groups of organs, that is to say, which exhibit the property of "unity," or, as it is generally called, "individuality." Upon this phenomenon depends the fact that Meristic Variation in number of parts is often integral, and thus discontinuous. The second factor~thaTniost contributes to the Discontinuity of Variation is Symmetry, manifesting its control in the first place directly, leading often to a result that we recognize as definite and perfect because it is symmetrical. But besides this direct control that we associate with Symmetry, other effects greatly contributing to the magnitude of Variation chap, xxv.] CONCLUDING REFLEXIONS. 569 can be traced to a factor not clearly to be distinguished from Symmetry itself. For, as has been explained, Symmetry, whether Bilateral or Radial, is only a particular case of that phenomenon of Repetition of Parts so universally characteristic of living bodies; and that resemblance between two counterparts, which we call Bilateral Symmetry, is akin to the resemblance between parts repeated in Series, though, as is shewn by their geometrical re- lations, the processes of division by which the parts were originally set off, must be in some respects distinct. Bilateral Symmetry of Variation is thus only a special case of the similar and simul- taneous Variation of repeated parts. The greatness of the observed change from the normal is often largely due to this possibility of simultaneity in Variation, the change thus manifesting itself not in one part only, but in many or all of the members of a series of repeated parts. Instances of such similar and simultaneous Variation of serial parts in animals have now been given. Examples still more marked may be seen abundantly among plants. A variation, for example, in the form or degree of fission of the leaf, slight perhaps by itself, when taken up and repeated in every leaf in its degree, constitutes a definite and conspicuous distinction. Everyone has observed this common fact. Few illustrations of it are more evident than that of the common Hawthorn. In a quickset hedge soon after the leaves begin to unfold almost each separate plant can be recognized even at a distance, and its branches can be traced by their special characters, by the shapes and tints of the leaves, by the angles that they make with the stem, by the manner of unfolding of the buds, and so forth. These variations, sometimes slight in themselves, by their similarity and simultaneity build up a conspicuous result. The phenomenon of serial resemblance is in fact an expression of the capacity of repeated parts to vary similarly and simul- taneously. In proportion as in their variations such parts retain this capacity the relationship is preserved, and in proportion as it is lost, and the parts begin to vary independently, exhibiting differentiation, the relationship is set aside. It will be noticed that to render the converse true we must extend the conception of Serial Homology in special cases to organs not commonly regarded as serially homologous with each other, but which having assumed some common character thereafter may vary together (cp. p. 309). In the power of independent Variation, members of series once more exhibit the property of "unity" that we have already noticed as appearing in the manner in which the number of the members is changed. The fact that members of series should be capable of varying as "individuals" is paradoxical. Such members, teeth, digits, segments of Arthropods, and the like, are each made up of various tissues endowed with miscellaneous functions and dissimilar in their morphological nature. Nevertheless each group is capable ff 570 MERISTIC VARIATION. [part I. of independent 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 so forth. At this point reference may again be made to that extraordinary Discontinuity of Variation appearing in what I have called Ho- jnfleosiSj so strikingly seen in the few Arthropod cases given (p. 146), and so common in flowering plants. ^In these changes a limb, a floral segment, or some other member, though itself a group of miscellaneous tissues, may suddenly appear in the likeness of some other member of the series, assuming at one step the condition to which the member copied attained presumably by a long course of Evolution, y Many times in the course of this work we have had occasiou to consider the modifications in the conception of Homology demanded by the facts of Variation. It is needless to speak further of this matter here, and the reader is referred to pp. 12o, 191, 269, 394 and 417, where the subject is discussed in relation to Linear Series 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 has 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 im- 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 discontinuously 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 Linear 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, difficulty arising especially in regard to the choice of a unit for the estimation of divergence. In 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 MEMSTIC VARIATION. [part I. principles with which we are all familiar. 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 out in the discussion of the evidence on Teeth (p. 266) this belief arises from the fact 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 variability with that of wild animals choice should be made of animals that are also variable though wild. Taken in this way the comparison is fair, and as I have already said, 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), &c, we find a frequency 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 variations in wild creatures is there evidence that the animal was unhealthy, or 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. After all that has been said few perhaps will still ask us to believe that the fixity of a character is a measure of its 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 wTaste places. Hun- dreds, sometimes thousands, may be taken in a few hours. They are mostly of two species, the small Coccinella decempunctata or variabilis and the larger G. septempunctata,. Both are exceedingly common, feeding on Aphides on the same plants in the same places at the same time. The former (G. 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 shades, 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. septempunctata is almost absolutely constant, having the same black spots on the same reel 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 black spreads over the elytra until only two red spots remain, which is to be seen in C. bipunctata.) To be asked to believe that the colour of G. septempunctata is constant because it matters to the species, and that the colour of G. decempunctata is variable because it does not matter, is to be asked to abrogate reason. But the significance of the facts does not stop here. When, looking further into the variations of G. decempunctata it is found that most of its innumerable shades of variation are capable of being grouped round some eight or ten fairly distinct types, surely chap, xxv.] CONCLUDING REFLEXIONS. 573 an expectation is created in the mind that the distinctness of these forms of varieties, all living [and probably breeding] together, may be of the same nature as the distinctness of Species ; and since it is clear that the distinctness of the varieties is not the work of separate Selection we cannot avoid the suspicion that the same may be true of the specific differences too. An error more far-reaching and mischievous is the doctrine that a new variation must immediately be swamped, if I may use the term that authors have thought fit to employ. This doctrine would come with more force were it the fact that as a matter of experience the offspring of two varieties, or of variety and normal, does usually present a mean between the characters of its parents. Such a simple result is, I believe, rarely found among the facts of inheritance. It is true that with regard to this part of the problem there is as yet little solid evidence to which we may appeal, but in so far as common knowledge is a guide, the balance of experience is, I believe, the other way. Though it is obvious that there are certain classes of characters that are often evenly blended in the offspring, it is equally certain that there are others that are not. In all this we are still able only to quote case against case. No one has found general expressions differentiating the two classes of characters, nor is it easy to point to any one character that uniformly follows either rule. Perhaps we are justified in the impression that among characters which blend or may blend evenly, are especially certain quantitative characters, such as stature; while characters depending upon differences of number, or upon quali- tative differences, as for example colour, are more often alternative in their inheritance. But even this is very imperfectly true, and as appeared in the case of Earwigs (p. 40) there may be a definite dimorphism in respect of a character which to our eye is simply quantitative. Nevertheless it may be remembered that it is especially by differences of number and by qualitative differences that species are commonly distinguished. Specific differences are less often quantitative only. But however this may be, whatever may be the meaning of alternative inheritance and the physical facts from which it results, and though it may not be possible to find general expressions to dis- tinguish characters so inherited from characters that may blend, it is quite certain that the distinctness and Discontinuity of many characters is in some unknown way a part of their nature, and is not directly dependent upon Natural Selection at all. The belief that all distinctness is due to Natural Selection, and the expectation that apart from Natural Selection there would be a general level of confusion, agrees ill with the facts of Variation. We may doubt indeed whether the ideas associated with that flower of speech, " Panmixia," are not as false to the laws of life as the word to the laws of language. 574 MERISTIC VARIATION. [part i. But beyond general impression, in this, the most fascinating part of the whole problem, there is still no guide. The only way in which we may hope to get at the truth is by the organization of systematic experiments in breeding, a class of research that calls perhaps for more patience and more resources than any other form -of biological inquiry. Sooner or later such investigation will be undertaken and then we shall begin to know. Meanwhile, much may be done to further the Study of Varia- tion even by those who have none of the paraphernalia of modern science at command. Many of the problems of Variation are pre- eminently suited for investigation by simple means. If we are to get further with these problems it will be done, I take it, chiefly by study of the common forms of life. There is no common shell or butterfly of whose variations something would not be learnt were some hundreds of the same species collected from a few places and statistically examined in respect of some varying character. Any- one can take part in this class of work, though few do. At the present time those who are in contact with the facts and material necessary for this study care little for the problem, or at least rarely make it the first of their aims, and on the other hand those who care most for the problem have hoped to solve it in another way. These things attract men of two classes, in tastes and tempera ment distinct, each having little s}7mpathy or even acquaintance with the work of the other. Those of the one class have felt the attraction of the problem. It is the challenge of Nature that calls them to work. But disgusted with the superficiality of "naturalists" they sit down in the laboratory to the solution of the problem, hoping that the closer they look the more truly will they see. For the living things out of doors, they care little. Such work to them is all vague. With the other class it is the living thing that attracts, not the problem. To them the methods of the first school are frigid and narrow. Ignorant of the skill and of the accurate, final knowledge that the other school has bit by bit achieved, achievements that are the real glory of the method, the "naturalists" hear onlv those theoretical conclusions which the laboratories from time to time ask them to accept. With senses quickened by the range and fresh air of their own work they feel keenly how crude and inadequate are these poor generalities, and for what a small and conventional world they are devised. Dis- appointed with the results they condemn the methods of the others, knowing nothing of their real strength. So it happens that for them the study of the problems of life and of Species becomes associated with crudity and meanness of scope. Beginning as naturalists they end as collectors, despairing of the problem, turning for relief to the tangible business of classification, account- ing themselves happy if they can keep their species apart, caring chap, xxv.] CONCLUDING REFLEXIONS. 575 little how they became so, and rarely telling us how they may be brought together. Thus each class misses that which in the other is good. But when once it is seen that, whatever be the truth as to the modes of Evolution, it is by the Study of Variation alone that the problem can be attacked, and that to this study both classes of observation must equally contribute, there is once more a place for both crafts side by side : for though many things spoken of in the course of this work are matters of doubt or of controversy, of this one thing there is no doubt, that if the problem of Species is to be solved at all it must be by the Study of Variation. INDEX OF SUBJECTS. Acanthoderes nigricans, double (?) leg, 548 Acanthodrilus, double tail, 565 Acanthothyris, double monster, 566 Accessory hoofs of Ox, connected with supernumerary digits, 285 Acherontia atrojjos, colours of larvae, 304, 305 Acinojms lepelletieri, extra legs, 498 Actinometra, variation in number of radial joints, 421; 4-rayed specimen, 437 ; 6-rayed, 437 Adaptation, Study of, as a method of solving problems of species, 10 ; logical objection to the method, 12 ; speculations as to, avoided, 79; of species, approximate only, 11 Adimonia tanaceti, double (?) antenna, 550 Agabus uliginosus, double (?) leg, 548 Agestrata dehaanii, extra legs, 491 Agonum sexpunctatum, double (?) leg, 547; viduum, double (?) antenna, 550 Agra catenulata, extra legs, 512 Akis punctata, double (?) antenna, 551 Alaua sordidus, extra legs, 508 Aleochara masta, extra legs, 488 Allantus, extra appendage, 544 Allolobophora, generative organs of, 160, 162, 165 ; duplicity of head and tail, 565; lissaensis, sperinatheca?, 165 Allurus, generative organs of, 164, 165 ; putris, 165 ; hercynius, tetraedrus, 164 Alytcs, vertebrae, 127; axial duplicity, 561 Ainblypneustes, 4-rayed, 443; 6-rayed, 446 ; partial reduction of a ray, 443 ; partial duplicity of a ray, 446 Ammocvctes, alleged case of eight pairs of gill-openings, 174 A»i})edus ephippium, double (?) antenna, 551 Amphicyclus (Holothurian), tentacles not in multiples of five, 435 Amphimallus solstitialis, extra antennae, 515 Amphioxus, number of gill-slits, 174 Anagallis arvensis, colour-variation, 44 Anas querquedula, division of digits, 392 Anchomenus sexpunctatus, extra antenna?, 523; double (?) antenna, albipes, an- gusticollis, 550 Angora breeds, 55 Anisoplia Jloricola division of epistome, 454 Annelids, segmentation compared with that of Chordata, 86; imperfect seg- mentation, 156; spiral segmentation, 157 ; variation in generative organs, 159 ; axial duplicity, 563 Anomala junii, extra antenna?, 515 Anser, spinal nerves, 130, 133 Antcdon, variation in number of radial joints, 421; 4-rayed specimen, 436: 6-rayed specimen, 437; abnormal branching, 438 Antenna developed as foot, 146, 147 Antenna?, variation in number of joints, Prionida?, 411; Polyarthron, 412; Lysiphlebus, 412; Donacia, 413; Forjicula, 413 extra, in Secondary Symmetry, 513-522 ; symmetry un- known, 522; arising from head, 551 . supposed double, 548 Anthia, extra legs, 502 Anthocharis cardamincs, colour-varia- tion, 45 euphcno, 45 ; ione, 72 Anthropoid Apes, Variation in Verte- bra?, 116; teeth, 199; digits, 349 Aphodius, extra legs, 494 Apis mellifica, 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, 406, 539 Apteryx, brachial plexus, 130 Apus, extra flabellum, 536 Aquila chrysaetos, extra digits, 393 Arcliibuteo lagopus, extra digit, 392 Arctia, colour-variation, 46 Arctocephalus australis molars, 243 Argepherusa, eye-spots, 295 Arion, sinistral, 54 Aromia moschata, extra legs, 485, 503, 512 ; double (?) antenna, 3 cases, 551 Artemia, salina and milhausenii, 96; gracilis, 100; relation to Branchipus, 96 ; segmentation of abdomen, 100 Arteries, renal, 277; in a case of double- hand, 333 Arthronomalus, number of segments, 94 Arthropoda, variation in number of segments, 87; Homceosis in append- ages, 146; 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 Artiodactyla, polydactylism, 373; syn- dactylism, 383 *; teeth, 245, 24G Ascidia plebeia, specimens having every fourth vessel of branchial sac dilated, 172 Ascidians, variation in branchial struct- ures, 171, 172; extra atriopore, 456 Ass, canines, 245 ; molars, 246 ; absence of digital variation in, 360 Astaeus fluviatilis, 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 A. leptodactylus, extra dactylopodites, 532 A. pilimanus and braziliensis, apparent presence of female opening in males, 155 Asterias, variation of pedicellaria?, 429; arms, 439 with 8 rays and 3 madreporites, 440 ; extra water-pore, 466 polaris, normally 6-rayed, 433 problema, tenuispina, undergo fission, 433 Asterina, 4-rayed and 6-rayed specimens, 440 Asteroidea, arms, 439-441 Ateles, teeth, 205, 206, 207 Atriopore, extra, in Ascidians, 456 Attelabus, division of pronotum, 455 Aulas to ma gulo, asymmetrical variation in generative organs, 167 Aurelia aurita, 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 mamma3, 189 ; between teeth, 213 Balanacrinus, 4-rayed specimens, 436 Bulanoglossus, 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; vertebra?, 124; extra B. atrial opening, 465; axial duplicitv, 561 Bdellostoma, individual and specific variations in number of gill-sacs, 173, 174 cirrhatum, kept at renin, heterotrema, hexatrema . 173; bischotfh,polytrema, 174 Beech, fern-leaved, 25 Bees, hermaphrodite, 68 ; union of eyes, 461 ; antenna modified as foot, 147 Beetles, variation of horns, 38; an- tenna, 411, 413 ; extra ap- pendages in Secondary Sym- metry, 475 ; legs, 483 ; "an- tenna?, 513; palpi, 524; di- vision of pronotum, 455 supposed double legs, 544 ; sup- posed double antenna?, 54s ; supposed double palpi, 551 Bembidium striatum, extra palpi, 524 Bettongia, variation in molars, 258 ; cunieulus, 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 vertebra, 128; in variation of Annelids, 167 ; in varia- tion of mamma?, 183; in variation of teeth, 267; in cervical fistula?, 175; in variation of ocelli, 292; in variation of digits, 402; in variation in antenna? of For- ficula, 414; in variation of Eadial 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 antennae, 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. Bombus variabilis, antenna developed as foot, 147 Bombyx, extra wing, quercus, 284, rubi, 282 Box-turtle, digital variation, 396 Brachial plexus, birds, 129; Man, 113, 135 ; Bradypodidas, 141 Brachinus crepitans, double (?) leg, 546 Brachiopod, double monster, 566 Bradypodidse, vertebrae, 118; brachial plexus, 141 Br achy teles, teeth, 205 Brancliias, variations in number, 172 Branchiomma, double tail, 564 Branch ipus, segmentation of abdomen, 97; relation to Artemia, 96 — 101 ; species dis- tinguished by sexual characters of male, 100 ferox, spinosus, 97, 100; stagnulis, 100 Brill, pigmentation of blind side, 468, 470 Brimstone butterfly, variation in colour, 45 ; nature of pigment, 48 Broscus i-ulgaris, double (?) leg, 547 Buccinum, teeth, 262 ; double operculum, 457 Bucorvus, brachial plexus, 131, 132 Bulldog, teeth, 210, 221 Bulldog-headed races of Dogs, 57; of Fishes, 57 Buteo latissimus, extra digit, 393 ; vul- garis brachial plexus, 131 Buzzard, extra digit, 392, 393 Calathus fuscus, extra eye, 280; extra legs, cisteloides, 506, fulvipes, 507, grcecus, 505 Callidium variabile, double (?) antenna, 551; violaceum, extra antenna arising from head, 551 Callimorpha, colour-variation of species of this genus, 46 Callinectes hastatus, extra spines on lateral horn of carapace, 557 Callithrix, teeth, 208 Callorhinus ur sinus, teeth, 343 Caloptenus spretus, colour-variation, 44 Cahpteron reticulatum, extra antennas, 522 Calopus cisteloides, extra legs, 512 Calosoma investigator, extra antennas, 523; auropunctatum, double (?) leg, 548; double (?) antenna, sycophanta, triste, 550 Cancer pagurus, maxillipede developed as chela, 149, 150 ; extra parts of limbs, 527; variations in chelas, 530 — 536 Canid.e, digits, 401 ; mammas, 189 teeth, 209—222; incisors, 210; canines, 210 ; premolars, 211; molars, 217 Canidje, teeth, Canis antarcticus, 215; azarce, 217; cancrivorus, 218; corsac, 214; dingo, 212, 215; jaran- icus, 209; lagopus, 220; later- alis, 212 ; lupus, 212, 213, 217, 220; magellanicus, 218; me- somelas, 212, 217; occidentalis, 214,219 ipennsylvanicus, 210; primcevus, 209 ; procyonoides, 215,220; vetulus, 217 ; viver- rinus, 212; vulpes, 210, 212, 213, 214, 219, 220 ; zerda, 220 vertebras, 122 ; cervical rib, 122 Canines, supernumerary, Tiger, 225 ; Ass, 245; divided in Dog, 211 Capreolus, horns, 286; union of horns, 460; polydactylism, 37 1, 379 Caprimulgus, brachial plexus, 131 Cakabus, antenna, supposed cases of double, auratus, cancellatus, catenulatus, emargi natus, ex- aratus, intricatus, italicus, sylvestris, 550 antennas, paired extra, arvcn- sis, 523; auronitens, 522; monilis, 522; sacheri, 523 leg, supposed cases of double, creutzeri, 547; helluo, 547; intricatus, 545; melancholi- cus, 548; nemoralis, 547; septemcarinatus, 547 legs, extra in Secondarj- Sym- metry, auratus, 511; auro- nitens, 511 ; cancellatus, 511; catenulatus, 512; grcecus, 486; granulatus, iSi; irregu- laris, 497; italicus, 512; marginalia, 484; perforatus, 484; scheidleri, 4-3" palpi, supposedcases of double, auratus, purpurascens, splen- dens, 552 pronotum, division of, lothar- ingus, 456; scheidleri, 455 Carcinomata, multipolar cells in, 431 Card nus mamas, external segmentation of abdomen changed by parasites, 95 ; extra parts in limbs, 527, 5ol, 534 Carnivora, teeth, 209; vertebras, 122 Carp, bulldog-headed, 57 Cassowary, feathers partially without barbules, 55 Castration, parasitic, of crabs, 95 Cat, variation in colours of, 48 digits, 312, 313; polydactylism in- herited, 323 spinal nerves, 138 teeth, 222 vertebras, 122 Caterpillars, segmental Bepetition of pattern in, 25 Catocala nupta, colour-variation in hind wings, 44, 46 INDEX OF SUBJECTS. 579 Caudal fin, division of, in Gold-fishes. 451 Cebida, teeth, 205 ( 'elms, teeth, 205 Cell-division, variations in, 430 Centrosoraes, variations in number of, 430 Cephalotia, 458 Cerambyx, extra legs, 491; double (?) antenna, cerdo, scopolii, 551 ; extra antenna arising from head, cerdo, 551 Cercocebus, teeth, 204 Cercopithecus, teeth, 204; abnormality in, 204 Ceroglossus valdivue, extra legs, 500 Cervical vertebra?, assumption of dorsal characters, Man, 107 Cervus a.ris, molar, 246 rufus, premolar, 24G dama, extra digits, 379 Cestoda, variation in segmentation of, 168; bifurcation and other conditions allied to duplicity, 565 Cestracion, teeth, 261 Cetonia, extra legs, opaca, 488, morio, 512 Chaleides, digital variation in the genus, 395 Chamois, extra horns, 286 Charadrius, brachial plexus, 130, 132 Chela, extra parts in Secondary Sym- metry, 528; amorphous cases, 538; duplicity of, 540 developed from third maxillipede in Cancer, 149 Chelonia, axial duplicity, 563 Cheraps preissii, apparent presence of female openings in males, 155 Cliiasognathus grantii, double (?) anten- na, 551 Chilognatha and Chilopoda, variation in segmentation of, 93 Chirocephalus, supernumerary horn to generative sac, 457 Cbimpanzee, vertebra, 116 spinal nerves, 139 teeth, 202 Chionobas, eye-sj>ots, 295 Cltironomus, double head, 565 Chiropotes, 208 Chitons, repetition of eyes in, 26; vari- ation in colours of scutes, 307 Chhcnius nigricornis, extra legs, 512; double (?) leg, holosericus, 546, diffi- )iis, 548, restitas, 548 Chcerocampa, colours of larva, 304 Cholapus, vertebrae, 118, 120; brachial plexas, 141 Choloruis, hallux absent, 397 Chordata, segmentation of, 86 Chroicocephalus, brachial plexus, 130 Chrysemys, axial duplicity, 563 Chrysomela, division of pronotum, fucata, 455 Chrysomela, extra legs, baaksii, 494; graminis, 498 double (?) leg, hcemoptera, 547 double (?) antenna, cacalia , 550 Chub, bulldog-headed, 58 Cicindela sylvatica, double (?) antenna, 550 Cidarites, 4-rayed specimen, 441 Cimbex axillaris, antenna developed as foot, 146 Cimoliasaurus, imperfect division of ver- tebrae, 103 Ciona intestinalis, variation in number of stigmata, 172 Cistudo, digital variation in, 396 Cladocera of salt lakes, 101 Clausilia bidens, extra eye, 280 Clavatella, variation in number of seg- ments, 425 ; in number of eyes in each segment, 425 Clupea pilchardus, scales, 274 Clythra quadripunctata, extra legs, 508 Clytus liciatus, extra legs, 508; extra antennas, arcuatus, 522, tricolor, 522 ; double (?) antenna, arcuatus, 551 Coccinella decempunctata, bipunctata and septempunctata, colour-variation, 49, 572 Cochin fowls, "silky" variety, 55 Cockroach, variation in number of tarsal joints, 63, 415 Ccelenterata, imperfect division, 566 Colias, colour-variation, 44 ; interme- diates between edusa and helice, 44; varieties of hyale, 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 Columba, brachial plexus, 131, 134 Colymbetes sturmii, extra legs, 512; ad- spersus, double (?) leg, 548; coriaccits. double (?) antenna, 550 Colymbus, brachial j^lexus, 130 Conepatus chilensis and mapurito, teeth, 232 Continuity, use of term as applied to Variation, 15; of differences in En- vironment, 5 Copepoda, of salt lakes, 101 Cordylopliora lacustris, polystomatous specimens, 566 Correlation, between variations of nerves and vertebra?, 145 ; between Meristic and Substantive Variation, 126 Corcus, brachial plexus, 131 Corymbites cupreus, colour-variation, 43 Counterparts, simultaneous variation of, 560 37—2 580 INDEX OF SUBJECTS. Cow, variation in number of teats, 188 Crab, extra parts of appendages, 527— 536 ; variation in segmentation of ab- domen, 95 Crateronyx, extra wing, 285 Crayfish, variation in number of gene- rative openings, 152 ; repetition of parts of chela?, 529, 532, 537 ; extra parts in antenna?, 538 Cribrella, abnormal branching of an arm, ■440 Crinoids, radial joints, 421; variation in number of rays, 435 ; 4-rayed varieties, 436 ; 6-rayed varieties, 437 ; 3-rayed and 5-rayed varieties of a 4-rayed form, 437; variation in number of canals in stems, 438; abnormal branching, 438 Crista, division of embryos, 556 Crossarchus, teeth, 227 — 231 ; zebra, 230, 231 Crustacea, theory of descent of Verte- brata from, 29 ; of salt lakes, 100 ; Secondary Symmetry in, 525; Honice- osis in, 149 Gryptohypnus riparius, extra legs, 509 Gryptophagus scanicus, dentatus, double (?) antenna, 550 Ctetwdrilus, double tail, 565 Cucumaria planci, with six radii, 433; double monster, 566 aciculi, double monster, 566 Cuon, one lower molar absent, 209 Cupressocrinus, 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, 435 Cyclopia, 458 Cyc/mis olor, cervical vertebrae, 33 ; colour- variation of young, 44 ; atratus, brachial plexus, 130 Cyllo leda, variability of ocelli, 289 Cyncelurus, teeth, 222, 224 Cynoeephalus porcarius, extra molar, 204 Cyprinus carpio, bulldog-headed varie- ties, 57 ; hungaricus, ditto, 58; auratus, division of fins, 451 Cyprus, 4-horned sheep, 285 Cypsdus, brachial plexus, 131 Cystophora cristata, premolars, 238; molars, 243 Dachshund, hallux in, 401 ; duplicity of hallux and pollex, 401 Dactylopodites, extra, 528 Dactylopsila, premolars, 255 Darwin's solution of problem of Species, 5; views on Reversion, 77; on sudden Variation in eye- spots, 289 Dasyuridns, incisors, 247 Dasyurus, incisors, 247 ; premolars, 255 ; molars, 256 Dasyurus, viverrinus, variation in molars, 256 maculatus, molars, 256 Deilephila euphorbue, colours of larvae, 305 ; hippophdes, 305 Dendarus hybridus, extra antennae, 523 Descent, Doctrine of, assumed to be true, 4 Diaptomus, colour-variation of eggs, 44 Dieotyles torquatus, incisors, 245 Didelplryidaa, incisors, 246 Didelphys, teeth, 246, 258 Digits, Variation of Mammals. Capreolus, 374 ; Cat, 313; Cervas, 379; Dogs, 401; Erinaceus, 397; Elephas, 397; Goat, 377 ; Herpestidaa, 346 ; Horse, 360; Hylobates, 346; Macacus, 340; Man, 324; Mule, 360, 370; Ox, 374, 383; Pig, 381, 387; Sheep, 373, 380 Birds. Anas, 392; Aquila, 393; Archibuteo, 392; Buteo, 393; Fowl, 390 ; La rus, 393 ; Pheasant, 393; Rissa, 396; Turkey, 393 Reptiles. Chalcides, 395 ; Cis- tudo, 396 Reduction in number, Man, 355, 358 ; Artiodactyla, 383 Union of, Ox, 383; Pig, 387 ; Man, 355 Variation in, associated with other variations, 399 Inheritance of Variation in, 398 Recapitulation of evidence, 400 Dimorphic condition, its relation to the monomorphic condition, 37 Dimorphism in Spinal nerves, 138; in position of generative openings- in Pachydrilus, 165, 168 ; in secondary sexual characters, 38 Diopatra, abnormal repetition, 159 Discoidea (Echinid), 4-raved specimen, 442 Discontinuity of Species, 5 in Variation, a possibility, 17 ; suggestion as to its nature, 68, 568 in chemical processes, 16, 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 sjoinal nerves, 145 in the Variation of the generative organs of Annelids, 168 IXDEX OF SUBJECTS. 581 Discontinuity in 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 Ditomus triciispidatus, 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 Dvnacia bidens, Variation in antenna?, 413 Dorcadion rufipes, extra legs, 512 Dorking Fowl, digital variations, 390 — 395 Dorocldaris papillata, variation in pedi- cellaria?, 429 Double-foot, Artiodactyles, 378 ; Frog, 540; Macacus, 340; Man, 337, 338 Double-hand, 325, 331 Double Monsters, 559 Double-thumb, 349 Dronueolus 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 globulc-sus, extra legs, 512 Dytiscus marginalis, extra legs, 512 Eagle, extra digits, 393 Ears, repetitions 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 Echinoconus, 4-rayed specimen, 441 ; alleged case of 3 rays, 441 Echinodermata, Meristic Variation in, 432; variations of pedicellaria?, 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; pedicellaria?, 429; variation in number of genital pores, 446 ; sym- metrical reduction of two rays, 443 Echinus melo, partial reduction of an ambulacrum, 443 Echinus splicera, partial reduction of an interambulacrum, 445 Ectrodactylism, Man, 355, 358 Elater murinus, extra antenna?, 522 ; variabilis, extra leg, 547 ; hirtus, double (?) antenna, 551 Eledone, supernumerary hectocotylus. 473 Eleodes pilosa, double (?) antenna, 551 Elephas, 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, 3U6 Emu fowls, 55 Enchytra?ida?, 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 Hippolyte, 151 Epistome (of Beetle), division of, 454 Erebia blandina, ocelli, 289 Ennaceus, variation in hallux, 397 Eriphia spinifrons, extra chelse, 528 Eros minutus, extra legs, 4*7 Eso.v lucius, bulldog-headed, 58 Esquimaux Dog, absence of first pre- molars, 214, 215, 221 Euchloe, pigments of, 72 Eugeniacrinus, 4-rayed specimens, 436 Euprepia purpurea, extra palpi (alleged), 524 Eurycephalus maxillosus, extra legs, 487 Euscorpius, double tail, 565 Eye of Palinurus developed as antenna, 150 Eye-colour of Man, 43 Eye-spots, 288 ; Variation as a whole, 291 ; outer zones first to appear, 291 ; analogy with chemical phenomena, 582 INDEX OF SUBJECTS. 292; in Linear Series, 288, 293; simultaneous Variation of, 293; corre- lated with variation of neuration, 293, 301 Arge, 295; Chionobas, 295; Hip- parchia, 294 ; Satyrus, 295 ; Morpho, 296 ; Vanessa, 299 ; Junonia, 299, 300; Pararge, 300; Saturnia, 301, 302; Baiidae, 302; Polyplectron, 450 Eyes of Claratella, variation in number, 425 Eyes of Molluscs, 279; of Insects, 280; union of, 458, 461 Feathers, of "hairy" Moorhen, without barbules, 55 Felid.e, digits, 313 teeth, 223—226 Felis brachyurus, 224; cali- gata, 223 ; caracal, 224 ; catus, 224; chaus, 224; chi- nensis, 224 ; concolor, 223 ; dumestica, 223, 224, 225, 226 ; eyra, 223 ; fontanieri, 225, 226 ; inconspicua, 223 ; ja- guarondi, 224 ; javaneiisis, 224; jubata, 224; Zeo, 226; lynx, 226; maniculata, 223; vianul, 224 ; minuta, 223 ; nebulosa, 224; omca, 224; pajeros, 224; pardalis, 226; pardus, 223, 226; tetraodon, 223 ; tfpriraa, 226; %ra, 224, 225 vertebra?, 122 Feronia muhlfeldii, extra legs, 485 Fins, division of, in Gold-fish, 451 Fishes, undifferentiated teeth in certain, 32; bulldog-headed, 57 division of caudal fins, 451 ; scales, 274 ; flat-fishes, 466 Fistula?, cervical, 174 ; morphology of, 176; aural, 177 in Man, 175; in Pig, 179; in Horse, 180; unknown in Sheep, Goats and Oxen, 180 Flat-fishes, reversed varieties, 54, 466 ; "double" varieties, 466 /•'" nivs tarsatorius, extra legs, 491 Foot, double, Artiodactyla, 378 ; Frog, 540; Macacus, 340; Man, 337, 338 Foraminifera, duplicity, 566 Forricula auricularia, variation of for- ceps, 40; of antennary joints, 413 Fowls, silky variety of, 55 digital variation in, 390; ovary and oviduct, 465 Frog, vertebrae, 124; extra legs, 554; double foot, 540 ; Secondary Sym- metry, 554 Fusus antiquus, sinistral, 54 Galerita africana, extra legs, 495 Galerites alboqalerus, 6-raved specimen, 445 subrotundus, 4-rayed specimen, 441 Galictis, teeth, barbara, vittata, 232 vertebra?, 123 Gallimila chloropus, hairy variety, 55 ; extra digits, 392 Gallus, brachial plexus, 130 ; digits, 390 ; oviduct, 465 Garganey Teal, division of digits, 392 Garrulus, brachial plexus and ribs, 135 Gasterostetis, scales, 276 Gai-ialis, change in number of vertebras, 123 Gecinus, brachial plexus, 131 Generative openings, repetition of, in Astacus, 152; absence of, in Astacus, 152, 154; of Earthworms, 159; of Hirudo, 166 Generative organs of Earthworms, varia- tions in, 159 ; of Leeches, 165 Genital pores, variation in number in Echini, 446 Geophilus, variation in number of seg- ments, 94 Geotrupes mutator, extra legs, 500 : typhous, extra antennas, 515 Gill-slits, of Ascidians, 171; of Myxine, 172; of Bdellostoma, 173; of Ammo- caites, 174; of Notidanida?, 174; of Balanoglossus and Amjihioxus, 174 Glauvium luteum, colour-variation, 47 Gmelin's test for bile-salts, 292 Goat, incisor, 245 ; horns, 286 ; digits, 377 ; cervical auricles, 180 Gold-fish, simultaneous variation in length of tail and fins, 309; division of anal and caudal fins, 451; "Tele- scope," 453 Gonepteryx rhamni, 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, vertebra3, 117; spinal nerves, 139 ; teeth, 202 Goura, brachial plexus, 130 Grus, brachial plexus, 130 Guinea-hen, double-hallux, 392 Guinea-pig, inversion of layers in, 9 Gulo, teeth, 231 Hamal spines, division of, in Gold- fishes, 453 Hair, absence of, in Mouse, Horse, Shrew, 56 ; silky in Mouse, 55 ; excessive length in mane and tail of a horse, 309 INDEX OF SUBJECTS. 583 "Hairy" Moorhen, 55 Halichcerus, vertebra?, 123; molars, 242, 243 Haliotis, extra row of perforations, 287 ; perforations occluded, 287; perfora- tions confluent, 287 Hulla, imperfect segmentation in, 156 Hallux, duplicity in Man, 349; Fowl, 390; variations in Kittiwake (Rissa), 396; Erinaceus, 397; Herpestida?, 397, normally absent in certain birds, 396 Hammaticherus heros, double (?) an- tenna, 551 Hand, digital variations in, 324 ; double, 325, 331 progressive series of Conditions, 324 Hapalidas, teeth, 208 Harpalus, rubripes, extra legs, 493; cal- ceatus, double (?) antenna, 550 Hawthorn, variation of, 569 Hectocotylus, supernumerary, in Ele- done, 473 Helictis orientaMs, teeth, 233, 234 Helix kermovani, extra eye, 280 hispida, union of tentacles, 461 Heloderma, vertebra?, 123 Ilelops cceruleus, extra antenna?, 523 sulcipennis, extra palpi, 524 Hemiaster; cases in which one ambula- crum wanting, 445 ; two ambulacra reduced, 443 ; duplicity of ambulacra, 446 Hepialus 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 Herpestid.e, hallux, 397 teeth, 227-231 Herpestes galera, 229; gracilis, 227, 228, 229; griseus, 229; ichneu- mon, 229, 230, 231 ; microcephalia*. 229; nipalensis, 227; nyula, 228; persicus, 227; pulverulentus, 228, 229; smithii, 228, 229 Herring, supposed hybrid with Pilchard, 275 Heterocephalus, a naked Rodent, 56 Heterogeneity, universal presence of in living things, 18 symmetrically distributed around centres or axes, 19 Heterorhina nigritarsis, division of pro- notum, 455 Hexanchus, six gills, 174 Hipparchia tithonus, eye-spots, 293, 294 Hippocampus compared with Plajllo- pteryx, 309 Hippoglossus pinguis, 471 Hippolyte fabricii, variation in epipo- dites of legs, 151 Hirudinea, variation in generative organs, 165 in colours, 304 Hiruclo medicinalis, variation in number of testes, 165, 166 officinalis, supernumerary penis. 166 Hister cadaverinus, extra legs, 512 Holopus rangi, 4-rayed specimen, 436 Holothurioidea, variation in number of radii, 433 ; variations in numbers of organs, 435; double monsters, 566 Homarus, repetition of parts in cheliped, 530 ; in chela?, 531-538 ; colour varia- tion, 44; hermaphrodite, 155 "Homodynamy," 133 Homceosis, use of the term, 85 between vertebra?, 106-127; backward and forward, use of terms, 111; forward in vertebra?, 112; backward in vertebra?, Ill ; 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 oiBlatta, 418 ; in the case of radii of Holothurioidea, 433 Horns, Sheep, 285 ; Goat, 286; Roebuck, 286,460; Chamois, 286; of Roe- buck united in middle line, 460 Horse, similarity of fore and hind legs, 25, 26 naked variety, 56 ; teeth, 244, 245 cervical fistula?, 180 simultaneous variation of mane and tail, 309 extra digits, 360 ; by development of digit ii, 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. Hyas, double chela, 540 ; double index, 541 Hybrids, supposed, between Herring and Pilchard, '274; supposed, between Tur- bot and Brill, 468 ; supposed, in genus Terias, 52, 53 Hydrobius fuscipes, pronotum having three lobes, 454 Hylobates, vertebra?, 118; teeth, 204; Icuciscus, extra digit, 346 Hylotrupes bajulus, extra legs, 494 Hypsiprymnus, teeth, 258 Iceland, 4-horned sheep, 285 Ichneumon luctatorius, extra legs, 511 Ichueumonida?, extra legs, 491, 511 Icticyon venations, teeth, 220 Ictony.v, teeth, 233 Images, relation of, the basis of Symme- try, 19 between ujjper and lower jaws, 196, 267; between right and left sides, 88 ; in the case of the manus and pes, 404 division and union of parts re- lated as, 449 princirjles of, followed in the structure and position of parts in Minor Symmetry, 479 Iuca Dogs, a bulldog found amongst, 57 ; variation of premolars and molars, 216, 222 Incisors, supernumerary, Gorilla, 203; Ateles, 207; Canidas, 210; Felidffl,222; Herpestida?, 227; Pecora, 245 : Dicotyles, 245 ; Horse, 244 division of, Canidae, 210 ; Ele- phas, 244 absence of, Canidae, 211; Feli- dffi, 222; Herpestidffi, 227; Phocida?, 235 ; Horse, 244 Index of crabs and lobsters, vjeculiarity in repetition of, 557 Individuality, attributed to members of Meristic Series, 31 : such individuality not respected in Variation, 32; cases illustrating the absence of supposed individuality in Members of Meristic Series, 104, 115, 124, 191, 269, 407, 433; an unfortunate term, 556 Jacamaralcyon tridactyla, distinguished by absence of hallux, 396 Jackal, vertebra-, 122; teeth, 217 Japanese pug, probable independent origin of, 57 Jaws, relation of upper to lower, 196 Julodis cequinoctialis, extra legs, 503; eloitei, double)?) antenna, 551 Julus terrestris, mode of increase in number of segments, 93 Eallima inachys, colour-variation, 53 Karyokinesis, symmetry in, 20; varia- tions in, 430; bilaterally symmetrical variation of, in the segmentation of an egg, 464 Kidney, supernumerary, 277 ; horse- shoe, 278, 459 Kittiwake, variations in hallux, 396 Laciniation, simultaneous, of petals, 310 Lady-birds, colour-variation, 49 Lagorchestes, teeth, 258 Lagothrix, teeth, 208 Lamarck's solution of problem of Species, 4 Lamellibranchs, sinistral, 54 Lamia te.xtor, double (?) antenna, 551 Lurus leucopterus, digits, 393 Larva? of Lepidoptera, variations in colours of, 304 Leaf-butterfly, colour-variation, 53 Leeches, variation in generative organs of, 165 ; in colours, 304 Legs, extra, in Secondary Symmetry, general account, 475, cases in Insects, 483; in Position V, 483; in Position VAA, 485; in Position A, 487 ; in Positiou DA, 491; in Position D, 494; in Position DP, 496; Position P, 498; Position VP, 500. Uncon- formable cases, 503; miscel- laneous cases, 511 ; in Crus- tacea, 526 ; in vertebrates, 554 supposed double in Insects, 544 Leopard, two cases of dental variation in a Chinese, 225, 226 Lepidoptera, colour-variation of larvae, 304 ; ocellar markings, 288 ; nature of yellow pigments, 73 Leptura testacea, double (?) leg, 545 Leuciscus dobula, bulldog-headed variety, 58 Lichnantlie vulpina, extra antenna?, 517 Ligula, absence of segmentation in, 16S Umax, union of tentacles, 460 Limenitis popali, extra wing, 283 Limulus, division of caudal spine, 450, 456 Linaria, many symmetrical variations of, 76 Linckia multiflora, fission, 433 Linear Series, Meristic Variation in, 63 ; simultaneity in colour- variations of, 303 Lissotriton, supposed double limb, 539 Lithobius, number of segments, 93 Lithodes arctica, extra legs, 527 Littorina nidi*, colour-variation, 49 Littorina, sp., extra eye. 280 Li.riis angustatus, division of pronotum, 456 Lizards, digital variation in, 395, 396 Lobster, colour-variation, 44 ; herma- phrodite, 155; variations in chela?, 530—538 INDEX OF SUBJECTS. 585 Local Races, evidence as to, not a direct contribution to Study of Variation, 17 Locusts, variation in colour of tibia?, 4-4 Loliqo, variations in segmentation of egg, 463 I.ucanus cervus, extra antennary branch, 2 cases, 549 ; extra branch on man- dible, 2 cases, 552; capreolus, ditto, 552 Luidia ciliaris, variation of pedicellariffi, 429 Lumbo-sacral plexus, 138 Lumbriconereis, imperfect segmentation, 156 Lumbriculus, double tail, 565 Lumbricus, undifferentiated segments in, 32 ; imperfect segmenta- tion, 156 ; spiral segmen- tation, 157 ; repetition of ovaries, 160; asymmetrical arrangement of organs, 160, 161 ; variation of genital openings, 162 ; duplicity, 565 agricola, 162; herculevs, 160; purpurea*, 160; terrestris, 156, 157 ; turgidus, 160 Lupa dicantha, extra index, 542 Lurcher, teeth, 221 Lutra, teeth, 228, 233, 234, 235 constancy of pl in L. vulgaris, 228 Lyccena icarus, extra wing, 284 Lycalopex group of Foxes, frequency of extra molars iu, 217 Lychnis, repetition of fimbriation in petals, 26 Lycus, double (?) antenna, 551 Lynx, teeth, 224 Lysimachia, Meristic variation in flower of, 61 Lysiphlebus, variation in number of an- tennary joints, 412 Macacus cynomoloyus, syndactylism, 356 inuiis, spinal nerves, 137, 139 teeth, 204 radiatus, doubtful extra molars, 204 rhesus, extra molar, 204 Macroglossa, colours of larva?, 304, 305 Macrognathus nepalensis, double (?) an- tenna, 551 Macropodida?, teeth, 259 Macrorhinus leouinus, teeth, 243 Madreporites, repetition of, 440 Main squinado, extra index, 542 Major Symmetry, 21, 87 Malachius marginellus, extra antenna?, 522 Males, high and low, 39 Mallodon, double (?) leg, 547 Mamniffi, numerical Variation in, 181 ; along mammary lines, 181 ; in other positions, 186 ; in axilla, 185 ; below and inter- nal to normal mamma?, 186 ; above and external, 185 Mamma?, variation in Cow, 161 ; Do^\ 189; Pig, 190; Man, 181; Apes, 188 comment on facts, 191 development of, 194 Mammary extensions to axilla, 185 lines, 181 tumours, 185, 187 Man, cervical fistula?, 174; cervical auri- cles, 177 digits, increase in number, 324 ; reduction in number, 355; poly- dactylism in general, 344; double- hand, 331 ; symmetry of manus and pes, 403 kidneys, union of, 459 ; renal arte- ries, 277 ; ureters, 278 mamma?, 181 nerves, spinal, 135; brachial plexus. 135 ; notable variation in, 137, 113 ; lumbo-sacral plexus com- pared with that of Chimpanzee, etc., 138 teeth, 198 transposition of viscera, 559 uterus, double, Darwin's comment on, 77 vertebra?, Meristic and Homceotic variation in, 103, 106—116. 458 Mandibles, supposed duplicity of, in Lucanus, 552 Manus, variations in, compared with those of pes, 405 ; as a system of Minor Symmetry, 403 Marsupialia, teeth, 246 — 258 Mastiff, teeth, 210, 221 ; hallux per- mitted in, 401 Maternal impressions and extra legs in a beetle, 512 Maxilhpede developed as a chela, 149, 150 Median nerve, variations in composition of, 136 Medicago, repetition of brown spot in leaflets, 26 Medusfe, Meristic Variation of, 423 ; duplicity in, 566 Melanoplus packardii, colour-variation, 44 Meles, teeth, 232, 233, 235 Hellivora, teeth, 233, 235 Meloe coriaceus, double (?) leg, 547 ; proscarabceus, extra legs, 488; viola- eeus, extra antennas, 523 Melolontha vulgaris, division of pronotum (5 cases). 454 division of pygi- dium, 456 extra legs, 484, 512 extra antenna?, 515, 520, 533, 550 586 INDEX OF SUBJECTS. Melolontha vulgaris, double (?) leg, 545 hippocastani, extra antennas, 51(5, 557 Mephitis, teeth, 232 Merisrn, 20 ; importance of, to Study of Variation, 23 indirect bearing of, on the magnitude of Variations, 25 Meristic Repetition, 20; kinship of parts so repeated, 26 ; similar Variation of parts in, 27, 310, 464; compared with asexual reproduction, 34 Meristic Variation, distinguished from Substantive Variation, 22 ; compared with Homceotic Variation, 84 Metacarpals, development of lateral, in Artiodactyla in correlation with syn- dactylism of metacarpals III and IV, 383 Metameric Segmentation, not distin- guishable from other forms of Repe- tition, 28 ; errors derived from such distinction, 30 Metasternal plates, division of, 456 Metazoa, comparison with Protozoa, 35 Metritis contractus, extra legs, 503 Middle Line, division by images in, 404, 450 ; union of images in, 383, 458 Minnow, bulldog-headed specimen, 58 Minor Symmetry, 21, 88 ; Meristic Varia tion in, 311, 410 ; in manus and pes 403 Molars, supernumerary, Simia, 200 Troglodytes, 202 ; Gorilla 203; Cynocephalus, 204; Ma cacus, 204; Cebus, 205 ; Ateles 205 ; Mycetes, 207 ; Canidas 217, 220 ; Felidse, 226 ; Her pestidae, 230; Mustelidas, 234 Phocidse, 242; Ungulata, 245 246; Dasyurus, 256; Bet tongia, 258 special frequency in Anthro- poid Apes, 200; in Lycalopex group of Foxes, 217 absent, Simia, 200; Ateles, 207 Pithecia, 208; Canidas, 219 221; Felidse, 226; Herpes tidffl, 231; Mustelidaa, 235 Phocidse, 243 ; Bettongia, 258 division of, Canis cancrivorus, 219; Crossarchus, 230 Variation in form, Crossarchus, 231 ; Dasyurus, 256 in Icticyon and Otocyon, 220 Monkeys, Old World, teeth, 204; New World, 205 Monodon, development of right tusk, 465 jUonomorphism, 33 Monotonia quadricollis, double (?) an- tenna, 550 Moorhen, hairy variety, 55; extra digits, 392 Morpho, eye-spots, 296—299 achilles, 297; menelaus, 298; montezuma, 297; psyche, 299 ; sulRowskii, 299 Mouse, colour-variation, 44 ; with silky hair, 55 ; black variety, 55 ; naked, 56 Mugil capita, bulldog-headed, 58 Mule, rarity of digital variation in, 360 ; case of, 370 Mullet, bulldog-headed variety, 58 Multipolar cells, 430 Mustelidas, teeth, 231, 235; premolars in M. foina, marten, inelanopus, zibellina, 231 Mycetes, teeth, 207, 208 Mycomelic acid, relation to yellow colouring matters, 73 Mydaus, teeth, 232 Myriapoda, variation in number of seg- ments, 91, 93 Myrmecobius, incisors, 247, 248 My.vine, variations in number of gill- sacs, 172 Ncenia typica, extra wing, 284 Narcissus, Substantive and Meristic Variation in, 23 ; colour- variation, 46 Narwhal, development of tusks, 465 Nasal is, teeth, 204 Natural Selection, chief objection to theory of, 5 ; misrepresentations of the theory, 80 ; difficulty in connexion with regeneration, 420 Navosoma, extra antennas, 521 Nebria, double (?) antenna, 550 ; gylleu- halli, double (?) maxillary palp, 551 Nectarine, discontinuous variation in, 59 Nereis, double tail, 564 Nerves, spinal, Birds, 129 — 135; Man, 135; Apes, 138; Cat, 138;Dog,140;Brady- podidee, 141; Pipa, 141 attempt to homologize, 32 variations, 129-145 correlation with verte- brae, 145 relation to limbs, 143 Neural canal, division of, 451 Neuration of wings varying with eye- spots, 293 Nigidius, extra branch on antenna, 549 Nipples, supernumerary, on normal breast, 184; on normal areola bind, 184; on mammary lines, 186; in Pig, 190 ; in Dog, 189 Notidanidaj, number of gills, 174 Nuclei, multipolar division, 430, 464 ; precocious division, 464 Nyctereutes procyonoides, teeth, 215 Nyctipithecus, teeth, 208 INDEX OF SUBJECTS? 587 Ocellar markings, 288, 449 Lepidoptera, 288 ; Raiida-, 302; Birds, 449 Odontokibis stevensii, extra antennas, 518, 557 Oligochasta, axial duplicity, 563 ; ge- nerative organs, 159; segmentation, 156 Omnia tophoca rossii, premolars, 237 Onitis bison, division of pronotum, 455 Operculum, double in Buccinum, 457 Ophiacantha anomala, normally 6 arms, not known to divide, 433 Ophiactis, fission, 433 Ophibolus, double monster, 561 Ophidia, vertebrae, 103, 123 Ophidiaster cribrarius, fission, 433 Ophiocoma pumila, young with 6 arms, adults with 5 arms, 433 Ophiothela isidicola, fission, 433 Ophiuroidea, variation in number of arms, 447; fission, 433 Opisthocomus, brachial plexus, 130 Orang, vertebra;, 118 ; spinal nerves, 139 ; teeth, 200; extra digit, 349; extra mamma, 188 Organic Stability, 36 Orthosia Levis, extra wing, 284 Oryctes nasicornis, division of pronotum, 455; extra legs, 512 Osmoderma eremita, double (?) leg, 547 Otaria cinerea, molars, 240 jubata, premolars, 240, 243 ursina, premolars, 239, 241 Otocyon, teeth, 220, 221 Oitakaria, teeth, 208 Ovaries, variations in number and posi- tion in Earthworms, 160, 162 not always correlated with variations in oviducts, 167 Ovary, right, developing in Fowl, 466 Oviduct, right, case of, in Fowl, 466 Oviducts of Astactis, variation in number, 152; in Earthworms, 167 Ox, incisors, 245; molar, 246; poly- dactyhsm, 374-381 ; syndactylism. 384-387; syndactylism together with development of digits II or V, 385 ; with duplicity of II and V, 386 ; cer- vical auricles and fistula; unknown, 180 Pachydrilus sphagnetorum, dimorphic in respect of position of generative open- ings, 165, 168 Painted Lady butterfly, colour-variation, 49 Palceomis torquatus, colour-variation, 43 Palamntvus borneensis, division of poison- spine, 457 Palinurus penicillatus, eye developed as antenna, 150 vulgaris, extra legs, 527 ; extra antenna?, 538 Palloptera ustulata, abnormal growth from thorax. 285 Palpi, paired extra, in Insects, 524 supposed double, 551 Pangenesis, 75 " Panmixia," 573 Papaver nudicaule, colour-variation. 46; pigment of, 47, 72 Parakeet, colour-variation, 43 Pararge megcera, eye-spots, 289, 300 " Parhomology," 133 Pariah dog, teeth, 221 Pamassius, ocelli, 292 Parra, feathers, 55 Pasimachus punctubitus, double (?) leg, 547 Patella, extra tentacle and eye, 279 Pattern, universal presence of, in organ- isms, 19-21 ; difficulties arising from. 21 Peach, discontinuous variation in, 59 Peacock, ocelli, 449 Peacock butterfly, repetition of eye- spots in, 26 ; variation of, 299 Pecora, polydactylism, 373 Pecten, double eyes, 280 Pedicellaria;, Meristic Vaiiation of, 429 Pelamis biculor, imperfect division of vertebras, 105; axial duplicity, 561 Peleeanus, brachial plexus, 130 Pelobates fuscus, extra spiracle, 465 Penis, supernumerary, in Hirudo, 166: in Aulastoma, 167 Pentacrinus mulleri, increase in number of radial joints. 4-rayed specimens. dubius, dumorti- eri, jurensis, sub- sulcatus, 436 6-rayed specimens, jurensis, 437 Pertthina salicella, extra wing, 285 Peramelidee, digits of pes, 313 Perielueta, variation in number of sper- matheca;, 165 ;forbesi, hilgendorfi, 165 Pericrocotus Jiamnieus, colour-variation, 46 Perionyx, generative organs, excavatus, 163, 167, 168 grunewaldi, 164 Peripatus, variation in number of seg- ments, 84, 91, 94 Petaurus, premolars, 255 Phaxaxgekib;e, incisors, 248; premo- lars, 248—255 Plialamjer maculatus, incisors, 248; pre- molars, 253; females spot- ted in Waigiu, 254 orientalis, incisors, 248, 250; premolars, 250 ornatus, first premolar two- rooted as variation, 254 ursinus, first premolar nor- mally two-rooted, 254 588 INDEX OF SUBJECTS. Phalanges, reduction in number, 355 Phascologale dorsalis, teeth, 257 Pheasant, digits, 393 Philonthus succicola, double (?) leg, 548 ventralis, extra legs, 507 Phoca barbata, incisors, 235, 236 cristata, premolars, 238 grcenlandica, premolars, 238, 240, 242; molars, 243 vitulina, premolars, 238, 241, 242 ; molars, 242 Phaenicopterus, brachial plexus, 130 Phoxinus Icevis, bulldog-headed, 58 Phratora vitellines, colour-variation, 43 Phreoryctes, generative organs, 162 Phyllopertha horticola, extra antennas, 514 PhyllophoruSi tentacles not in multiples of five, 435 Phyllopteryx, comi^ared with Hippo- campus, 309 Physa acuta, tentacle bifid, 280 Pir.ua viridis, colour-variation, 43 ; me- dius, brachial plexus, 131 PieridsB, colours of, 73 ; eye-spots in, 292 Pig, digits, 381; syndactylism, 387; syndactylism with division of digit V, 389 ; cervical auricles, 179 ; cervical fistulas, 180 Pigeon, cervical vertebrae, 33 ; brachial plexus, 134 Pigments, definite variations proper to certain, 43; nature of yellow, in Pie- ridse, 48. Pike, bulldog-headed, 58 Pilchard, variation in scales, 274 ; sup- posed hybrid with Herring, 275 Pilinnmis, not altered by Entoniscians, 95 Pimelia interst it talis, extra legs, 498 scabrosa, extra antennas, 523 Pinnipedia, Teeth, 235—243 Pipa, sjnnal nerves, 141 Pithecia, absent molar, 208 satanas, syndactylism in, 356 Pityophis, axial duplicity, 561 Plaice, symmetrical sjjotting of blind si le, 467 Plant, compared to the body of Man, 29 Platycerus caraboides, extra legs, 507 Platyonychus, not altered by Entonis- cians, 95 Platysomatichthys, 471 Pleuronectes, pigmentation of blind side, 407, 471 Plume moths, repetition of pattern in wings, 26 Plutevs, double, 35 Podargus, brachial plexus, 131 Pacilogale, 232 Pointer, teeth, 221 Polian vesicles, variation in number of, 434, 435 Pollex, duplicity in, Man, 349 ; Dogs, 401 Polyarthron, variation in number of an- tennary joints, 412 Polychasta, axial duplicity in, 564 Polydactylism, Cat, 312; Man, 324; Macacus, 340; Hylobates, 346; Simia, 349; irregularcasesinMarj,353 ; Horse, 360—371 ; Artiodactyla, 373 Poli/desmus, mode of increase in number of segments, 93 Polyodontophis, vertebras, 123 Polyphylla decemlineata, extra antennas, 518 Polyplectron, eye-spots, 449, 450 Polyzoa, division of embryos, 556 P°PPy> Iceland, colour-variation, 46; Horned, colour-variation, 47 Porania, 4-rayed specimen, 440; irregu- lar division of an arm, 440 Portunion, change in Carcinus produced by, 95 Portunus imber, extra parts on chela, 535; not altered by Entoniscians, 95 Potorous, teeth, 358 Premolars, nomenclature, 199 supernumerary, Braclujteles, 205; A teles, 206; Mycetes, 208; Canidas, 212—214; Felidas, 225 ; Herpestidas, 229; Mnstelidas, 231—234; Phocidas, 237—242; Cer- vus, 246 ; Phalangeridas, 248; Phascologale, 257 absence of, Canidas, 214 — 216 ; Felidas, 224 ; Herpes- tidas, 229; Mustelidas, 231 —234 ; Phocidas, 237—242 apparent division, Bruchy- teles, 205; Canidas, 213; Dasyurus, 255 ; Phocidas, 237 displacement and other va- riations, Simia, 201 Prionus, supjjosed development of elytra as legs, coriarius, 148 variation in number of anten- nary joints, imbriconiis, 411, jissieornis, 412 extra legs, coriarius, 488, 512, californicus, 544, 557, cori- aceus, 548 double (?) antenna, 551 double (?) legs, californicus, 544 Procercca, double tail, 564 Protozoa, supposed relation to Metazoa, 35 ; duplicity, 566 Pseudochirus, premolars, 250, 255 ; in- cisors, 248 Pterostichus, extra \egs,lucublandus, 512; miihlfeldii, 485; prevostii, 512; dou- ble (?) antenna, planipennis, 550 Ptiuus latro, extra legs, 512; extra an- tennas, 522 INDEX OF SUBJECTS. 589 Pujjinus, brachial plexus, 130 Pug, breeds of, 57; teeth, 221 Purpura lapillus, colour-variation, 48 Putorius, teeth, 231, 234 Pygcera anastomosis, extra wing, 284 Pygidium, division of, in Melolontha, 456 Pygomelian geese, 401 Pyrameis cardui, aberrations of, 49, 52; var. kershawi, 49, 52; var. elymi, 50, -51 Pyrodes specia&w, extra legs, 496 Python, imperfect division of vertebra?, 103, 105 Eadial joints of Crinoids, 421 Radial Series, Meristic Variation in, 60; evidence, 422; in Echinodermata, 432 Radii, variations in number, Holo- thurioidea, 433 ; Crinoidea, 435 ; As- teroidea, 439 ; Echinoidea, 441 ; Ophi- uroidea, 433, 447 Radius, absence of, 360 Radulae of Buccinum, 262 Raiidffi, eye-spots, 302; extra fin, 540; division of fin into lobes, 540; separa- tion of fin from head, 540 Rana, vertebra, 124, 126; double foot, 540 ; spinal nerves,142 ; extra limbs, 554 Ranzania bertolonii, extra legs, 510 Raspberry, yellow variety, 47 Red, variations of, 44 — 48; as variation from blue, 44 Renal arteries, 277 Repetition of Parts, association of these jnhenomena, 21 Repetition, Linear, Bilateral or Radial, distinctions between, 88 Units of, 556 Reptilia, vertebrae, 103, 123 Reversion, hypothesis made in order to escape recognition of Discontinuity in Variation, 76 Rhagium mordax, double (?) leg, 548 Rhea, brachial plexus, 130 Rhinoptera, teeth, 259 — 261, javanica, 261, jussieui, 259 Rhizocrimts, 6-rayed specimen, 437 Rhizotrogus, extra legs, aestivalis, 510; castaneus, 512 extra antenna?, cequinoc- tialis, 517 division of metasternal plates, 456 Rhombus, pigmentation of blind side, 467—471 ; Icevis, 467, 468, 470; maximus, 467, 470 variations in scales, 468 Rhynchites germanicus, double (?) an- tenna, 550 Rhyttirhinus, supposed case of extra eye, 281 Ribs, division of, in Man, 105 cervical, in Man, 108, 112, 115 ; in Dog, 122; Bradypodida?, 119; on 6th vertebra in Man, 108 Ribs, variations in dorso-lumbar region, Man, 109—116 ; Anthropoid Apes, 116— lis ; Bradypodidffi, 121; Felis, 122; Cams, 122; dalictis, 123; Halicharus, 123 j eleven in Siamese Twins, 560 Rissa, variations of hallux in the genus 396, 397 Roebuck, horns, 286 ; polydactylism, 374, 379 ; union of horns, 460 Rubus idceus, colour-variation, 47 Rupicapm tragus, horns, 286 Rutela fasciata, extra legs, 512 Sacculina, effect of, on segmentation of Carcinus and other Crabs, 95 St Bernard dog, duplicity of hallux in. 401 Salinity, doubtful relation of variations of Crustacea to changes in, 100 Salmo fario, .-.•«/«//•, trutta, 58 Salmon, bulldog-headed variety, 58 ; axial duplicity, 563 Salmacina, double tail, 564 Salt lakes, Crustacea of, 96, 100 Samia cecropia, extra wing, 283 Sand-canals, repetition of, in Asterias, 440 Saperda carcharias, extra antenna arising from head, 551 Sarcophilus, teeth, 255 Sarsia, Meristic Variation in, 424 ; with six segments, 424 ; with five segments, 425 Saturnia carpini, repetition of eye-spots in wings, 26; extra wing, 282; varia- tion of eye-spots, 289, 301, 302 ; colours of larva?, 306 Satyrus hyperanthus, eye-spots, 294 Sawfly, extra legs, 502, 546 Scales of Pilchard, 274 ; of Gasterosteus, 276; of Snakes, 276 Scarites pyracmon, extra legs, 500 Scheme, shewing the relations of parts in Secondary Symmetry, 481 Scolopendra, number of segments, 94 Scorpion, double poison-spine, 457 ; double tail, 565 Scraptia fusca, extra antenna?, 523 Seals, variations in dentition, 235 Segmentation, metameric, not in kind distinct from other forms of Repetition, 28 ; two ways by which a full seg- mentation maj-have been achieved in phylogenv, 86 of Arthropoda, variation in, 91 ; imperfect in An- nelids, 156 ; spiral in Annelids, 157; variation of in Cestoda, 168, 170 of mamma?, 191 of ovum, variations in, 463 590 INDEX OF SUBJECTS. Selachians, teeth in, 259 Semnopithecus, teeth, 204 Sepidium tuberculatum, double (?) an- tenna, 551 Sex, analogy with Discontinuous Varia- tion, 66 Sexual characters, statistics as to, in Beetles, 38; Earwigs, 40 of Hepiahts in Shetland, 254 of Phalanger in Waigiu, 254 Sheep, cervical auricles, 180; incisors, 245 ; change in form of canines, 245 ; molar, 246; extra horns, 285; poly- dactylism, 373, 380 Sheep-dog, teeth, 221 Shetland, variety of Hepialus in, 254 Shrew, naked variety, 56 Siamese Twins, 560 Siberia, Crustacea of salt lakes, 97, 100 Silis rvficollis, extra legs, 498 Silky fowls, 56 Silpha nigrita, extra legs, 501; granu- late, double (?) leg, 548 Silurus, extra fin, 540 Simia, vertebrae, 118; teeth, 200; extra digit, 349 ; extra mamma, 188 Simultaneity of Variation, possibilities of, 25, 26, 308 ; in fore and hind wings of Lepidoptera, 293; in counter- parts, 569; in colours of segments of Lepidopterous larvae, 303 ; in Chiton idffi, 307; in limbs, 402; in homo- logous twins, 559 ; in radial segments, 423; not clearly distinguishable from Symmetry, 569 Sinistral varieties, 54 Situs transversus, 465, 560 Sledge-dog, absence of first premolar, 215; division of premolar, 214 Smerinthus, colours of larva;, ocellatus, populi, tilice, 306, 307 Suakes, vertebrae, 103, 123; axial du- plicity, 561 Solea, pigmentation of blind side, 471 Solenophorus strepens, double (?) an- tenna, 551 Sore.v, naked variety, 56 Spaniel, teeth, 221 Species, the j>roblem of, 2. Methods of attacking, 6 Discontinuity of, a fact, 2 Specific Differences, indefinite, 2 Spermathecae of Earthworms, variation in number, &c. of, 160, 165 Sphcerocrinus, imperfect variation to 6- rayed state, 437 Sphingida?, repetition of markings in larvae of, 26 ; variation in, 304 Sphinx ligustri, division of proboscis, 456 Spinal nerves, 129; Birds, 130; Man, 135; Primates, 138; Bra- dvpodidae, 141; Pipa, 141; Rami, 142 dimorphism in respect of, 138; distribution to limbs, 143 ; Homceosis, 144; recapitulation, 144 Spinal nerves, princijdes of distribution, 143 Spiracle, extra in tadpole of Pelobates, 465 Stability, Organic, 36 Starfishes, theory of origin of repetition in, 29; variations in number of rays, 439 ; multiplication by fission, 433 Stentor, duplicity, 566 Sticliojms, arrangement of tube-feet changes with age, 435 Stickleback, variation in number of bony plates, 276 Stomobrachium octocostatum, variety having tentacles in double series, 425 Strangalia, double (?) antenna, atra, 551, calcarata, 551 Strategics antaus, extra legs, 512 Struthio, brachial plexus, 130 Styela, variations in branchial sac, 172 Subemarginula, extra eye, 279 Substantive Variation, distinguished from Meristic, 23; cor related with Meristic in vertebrae, 125 in size, 38, 40; in colour, 43 — 48; in colour-pat- terns, 48 — 54 ; miscel- laneous, 54 — 60 Swan, cervical vertebrae, 33; colour- variation of young, 44 ; brachial plexus, 130 Symmelian "monster," 459 Symmetry, the conception of, 19, 569 a relation between oj>tic- al images, 19 almost universal pre- sence of in living or- ganisms, 21 of mammas, 191 in dental Variation, 267 in digital Variation, Man, 324,402; Cat, 314; in manus and pes, 403 in nuclear division, 430; in variations in seg- mentation of ovum, 463 in variations of homo- logous twins, 559, 560 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 Badial, characters of, 89 INDEX OF SUBJECTS. 591 Symmetry, Secondary, preliminary ac- count, 475; principles, 479 Scheme of relations of parts in, 481; parts repeated in, geometri- cally peripheral to points of origin, 557; relation to Primary, 556, 557 in Insects, 475; Crus- tacea, 525; Verte- brates, 553 ; Batra- chia, 554; Triton, 555 Syndactylism, Man, 355, 356; Pithecia, 356; Macacus, 356; Ox, 384—387; Pig, 387—390 Tadpole, extra spiracle in, 465 Tcenia ccenurus, transposition of genera- tive organs, 170 ; case of six suckers and segments pris- matic, 565 elliptica, asymmetrical arrange- ment of genital pores, 170 saginata, "intercalated" seg- ments, 169; rejjetition of gene- rative organs in proglottides, 169 ; two genital pores at the same level, 170; consecutive genital pores on same side, 170; bifurcation of chain, 566 solium, changes in position and alternate arrangement of geni- tal pores, 170 tenuicollis, bifurcation of chain, 566 Tail-fin, division of, in Gold-fish, 451 Tail-spine, division of, Limulus, 456; Scorpion, 457 Tapeworms, variations, 168 — 170; du- plicity in, 565 Tarsus, in some beetles with only four joints appearing, 25 ; variation in number of joints, Blatta, 63, 415; various numbers of joints in families of Orthoptera, 415 Taurhina nirens, extra legs, 509 Tax idea, teeth, 233 Taxus baccata, colour-variation, 47 Teal, Garganey, division of digits, 392 Teeth, in undifferentiated series not credited with individuality, 32 numerical Variation, 195 ; di- vision of, 268; duplicate, 268; statistics of Variation, 200, 209, 222, 235 relation of upper to lower, 196 of Primates, 199—208 ; Canida?, 209—222; Felidaa, 223—226; Viverridae, 227—231; Mus- telidffi, 231 — 235 : Pinnipedia, 235—243 ; Ungulate, 243— 246 ; Marsupialia, 246 — 258 ; Selachians, 259—262; Bucci- num, 262 Teeth, terminal, least size of, 270; pre- sence and absence of, 269; Homceotic Variation in, 272 Recapitulation, 265 Telephones, colour-variation, lividus, 43 division of pronotum, nigri- cans, 455 double (?) antenna, lividus, rotuiulicollis, 551 double (?) leg, exeavatus, fuscus, 548 extra legs, rusticus, 502 " Telescope " Gold-fish, 453 Tellina, sinistral variety, 54 Tenebrio granarius, double (?) leg, 548 Tentacles of Molluscs united, Helix hispida, 461; Limaxagres- tis, 460 repeated, Patella vulgata, 279 bifid, Physa acuta, 280 of Holothurians, 435 Tenthredo solitaria, extra legs, 502 ignobilis, extra leg, 546 Terias, colour-variation, 52, 53 ; ane- mone, heca.be, mandarina, mariesii, 52 ; betheseba, constantia, jaegeri, 53 Terminal members of Series, variation of, 79, 269, 271, 272, 407 teeth, 269, 272 ; digits, 407 Terrier, absence of premolar, 215 Testes, variation in number in Hirudo, 165, 166 Tetraceros, horns not as in 4-horned Sheep, 285 Tetracrinus, normally 4-rayed, 5 -rayed and 3-rayed varieties, 437 Tetrops prausta, double (?) leg, 545 Thoracopagous twins, transposition in, 560 Thumb, variation in number of phalan- ges, 324 double, 349 Thylacinus, teeth, 255 Thylacites pilosus, double (?) antenna, 550 Thyonidium, variation in number of or- gans, 435 Tiar ops poly diademata, specific character of, 426 Timarcha tenebricosa, extra antennae, 522 Tomato, colour-variation, 47 Tonicia, variation in colour of scutes, 308 Tongue, division of, 451 Toxotus, extra eye, 280 Transposition of viscera, 560 Triasters, symmetry of, 430; found in bilaterally symmetrical areas of seg- menting ovum, 464 Trichodes syriacus, double (?) leg, 547 Trichosurus vulpecula, premolars, 254 592 INDEX OF SUBJECTS. Triamophorus, segmentation of, 168 Triopa clavigera, rhiuophore ti-ifid, 280 Triton, legs repeated, 555 Troglodytes, vertebras, 116; teeth, 202 Tropidonotus, vertebra?, 123 ; scales, 276 Trout, bulldog-headed, 58, 59; axial du- plicity, 563 Tulip, Meristic Variation in, 60 Turbot, pigmentation of lower side, 467, 470 Tardus, brachial plexus, 131 Turkey, digits, 393 Twins, homologous, 559 ; Simultaneous Variation of, as a case of Bi- lateral Symmetry, 559 Siamese, peculiarities of, 560 ; thoracopagous, 560 in Echinoderms and in Amphi- oxus, 35 Typosyllis, double head, 564 Uca una, extra parts in chela, 530 Ulna, a second, 331 Ulnar nerve, variations in composition of, 136 ; a second, 333 Uugulata, teeth, 243 ; digits, 360—390, 397 Union, mediau, 458; of horns of Roe- buck, 460; of eyes of Bee, 461; of kidneys, 459; of tentacles of Limax, 460; of tentacles of Helix, 461; of posterior limbs of Vertebrates, 459; of digits in Ox, 383, 386; of digits in Pig, 387—390 Units, of Repetition, 556 Uraetos, brachial plexus, 131 Ureters, supernumerary, 278 "Useless" 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 Vanessa atalanta, colour- variation, 46 urticce, extra wing, 283 in, 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, 60, 64 causes of, 78 Hoinceotic, 85, in vertebras, 106; in Arthropoda, 146; in teeth, 272 Simultaneity of, in repeated parts, 303, 402, 425, 464 Variations, minimal, questionable uti- lity of, 16 Vertebrae, Meristic Variation in, 102 imperfect division, 103, 458 Homceotic Variation, 106 reduction in numbers, Man, 111 numerical variation, 102 Man, 103, 106—116; Anthro- poid Apes, 116; Bradypodi- da?, 118; Carnivora, 122; Reptilia, 123 ; Batrachia, 124; features of Variation recapitulated, 127 ; correla- tion with spinal nerves, 113, 115, 139, 145 Vesperus luridus, extra eye, 280 Veronica buxbaumii, numerous symme- trical variations in, 76 ; illus- trating variations of Bila- teral Series, 448 Viverridae, teeth, 227—231 Waigiu, female Phalanger maculatus coloured like male in island of, 254 Wall butterfly, variation in ocelli and neuration, 300 Water-pore, extra, in Bipinnaria, 466 Webs, between toes of Duck, absent, 401 Weevils, four visible joints in tarsus, 25 Wing, supposed to replace a leg in Zy- gccna, 148 Wings, supernumerary in Insects, 281 fore and hind, varying simul- taneously in Lepidoptera, 293 quills of, varying with quills of tail in Pigeons, 309 Woodpecker, Green, colour-variation, 43 Xantho punetulatus, duplicity of index, 542 Xiphopagous twins, transposition of viscera in, 560 Xylotrupes gideon, variation of horns in, 38 Yellow, variations of, 43-48, 73 Yew, yellow-berried, 47 Zalophus californianus, molars, 243 lobatus, premolars, 238, 242; molars, 243 Zebra, repetition of stripes in, 26 Zeugopterus, white varieties, 467 ; varia- tion in dorsal fin, 471 Zonabris quadripunctata, double (?) an- tenna, 551 Zonites prceusta, extra antenna?, 522 Zygcena filipendulce, colour variation, 46 supernumerary wing, 148 minos, colours, 46; extra wing, 284 INDEX OF PERSONS. Acton, 286 Adolphi, 124, 127, 142 Agassiz, A., 469 Agassiz, L. , 396, 424 Ahlfeld, 340, 354, 451, 458 Albrecht, 105, 540 Aldrovandi, 344 Allen, J. A., 243 Alston, 286 Ammon, 348, 349 Anderson, 399 Andrews, 563, 564 Annandale, 327, 345, 346, 350-352, 355- 358 Appellof, 473 Arloing, 363, 370 Ascherson, 174 Ashmead, 413 Asmuss, 484, 500 Asper, 167 Assheton, 152 Audouin, 512 Auld, 390 Austin, 436 Auvard, 349 Auzoux, 203 Babington, 47 Bacon, 29, 146 Baird, 223, 232 Balbiani, 566 Balding, 305 Balkwill, 566 Ballantyne, 334 Bancroft, 561 Barbour, 563 Bardeleben, 183 Barr, P., 46 Barrier, 384, 388 Bartels, 187 Barth, 187 Bartlett, 216 Bassi, 512, 548, 551 Baster, 453 Bateson, Miss A., 77, 468 Bather, 436 Baudi, 456, 512, 551 Baudon, 54 Baum, 401 Baumiiller, 374 Baur, 103, 105, 123, 124 Beddard, 159, 162, 163, 165 Bedriaga, 127 Bell, F. J., 443, 564, 565 Bellamy, 113 Belt, 56, 57 Beneden, van, 531 Benham, 152, 159, 161, 565 Beranger, 347 Bergendal, 555 Bergh, 160 Bernhardus a Berniz, 538 Betta, de, 43 Bibron, 563 Bicknell, 45 Billardon de Sauvigny, 454 Billott, 399 Birkett, 178 Birnbaum, 350 Blackrnore, 523 Blainville, de, 118, 119, 205, 224 Blanchard, 187 Blanford, W. T., 398 Blasius, 354 Bles, 440 Bleuse, 482, 508 Boas, 369, 383, 385 Boettger, 561 Boisduval, 45 Bolau, 349 Bond, 301 Bonnier, 95 Bottcher, 560 Boulard, 512 Boulenger, 123, 276, 277, 395, 396, 46."> Boulian, 351 Bourne, A. G. 125, 127 Boyd-Campbell, 399 Bramson, 52 Brandt, 466 Bredin, 368 Breese, 565 Brenner, 360 Brindley, 38, 39, 63, 280, 416 Brisout de Barneville, 416 Brooks, 466 Broome, 565 Bruce, 181, 185 Brulerie, de la, 280 Bruner, 44 Brunette, 564 Brunner von Wattenwyl, 41, 413, 416 Buchanan, Miss F., 156, 157 Buckler, 304, 305, 307 38 594 INDEX OF PERSONS. Buffon, 286, 398 Bull, 340 Biilow, von, 565 Buquet, 551 Bureau, 540 Burmeister, 123, 232 Busch, 198, 345 Butler, A. G., 52, 53 Carnerano, 127, 546, 555 Cameron, 185 Canestrini, 58 Cantoni, 537 Carlet, 59 Carpenter, P. H., 421, 422, 436-438 Carre, 339 Cassebohm, 178 Cauroi, du, 344, 354 Cavanna, 539, 555 Cazeaux, 185 Champneys, 139, 185 Chapman, J., 244 Charcot, 184 Chavignerie, de la, 455, 547 Chworostansky, 165 Claparede, 425, 564 Clark, J. A., 51 Clark, J. W., 465 Clarke, E., 397 Claus, 80, 100 Cleland, 401 Coale, 393 Cobbold, 566 Cockerell, 44 Cocks, 55 Colin, 169 Collin, 563, 565 Cooke, A. H., 262, 263 Coquillet, 413 Cori, 156, 157, 158 Cornevin, 363 Cornish, 150 Cotteau, 446 Couch, 440, 470, 471 Coues, 232, 390 . Cowper, 391, 393 Cramer, 346 Cuenot, 429, 433, 441 Cunningham, 320, 467 Curtis, 547 Cusset, 176 Daintree, 376 Dale, 482, 547 Dareste, 458 Darwin, C, 1, 5, 13, 56, 57, 59, 77, 121, 288, 449 DavidofT, 566 Dawson, 566 Day, 275, 276, 302, 467, 540 Delplanque, 354, 370, 377, 379 Demidoff, 468 Dendy, 438 Desmarest, 152 Devay, 399 Dimmock, 543 Dobson, 397 Dohrn, 86 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 Moncean, 470, 471 Dumeril, 554, 563 Dunn, 374 Duns, 528 Duponchel, 456 Dusseau, 352, 355 Duval, 184 Dwight, 325, 334 Ebrard, 166, 304 Eck, 437 Edward, T., 43, 174, 563 Ehrenberg, 425, 426, 428 Eichwald, 560 Ekstein, 339 Ekstrom, 471 Elwes, 45 Engramelle, 46 Ercolani, 369, 377, 380, 381, 392, 393, 540, 554, 555 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, 425 Fischer, 41 Fischer, G., 174 Fischer, P., 54, 279, 566 Fischer de Waldheim, 97 Fisher, W. B., 392 Fitch, 565 Fitch, E. A., 44 Fitzinger, 200 Flemming, 430 Flemyng, 307 Fleutiaux, 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, 565 INDEX OF PERSONS. 595 Fotherby, 360, 399 Franck, 308 French, 451 Freund, 459 Freyer, 524 Fricken, von, 512 Friedlowsky, 244, 356 Friele, 262, 264 Friend, 563, 565 Fries, 471 Fnvaldsky, 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 Gaskoiu, 56 Gauthier, 443, 445—447 Gebhard, 459 Gegeiibaur, 77 Geissendorfer, 360 Gene, J., 127 Geoffroy 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 Guyon, 566 Guyot-Daubes, 360 Haacke, 443, 446 Hagen, 148 Hagenbach, 352 Hammond, 305 Hanley, 460 Hannasus, 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 Hennig, 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 R., 453 Hi'ron-Royer, 465, 555, 561 Herrich-Schaffer, 51 Herringham, 137, 138 Hertwig, O., 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 Heynold, 355 Higgins, 471 Hill, 391 Hincks, 425 His, 177 Hodgson, 209, 398 Hoeven, van der, 218 Hoffmeister, 162 Honratb, 284 Hopkins, 48, 73 Horn, 411 Horst, 565 Howes, 126, 153, 210, 391, 421, 515 Hiibner, 305 Hudson, 56 Hiigel, Baron A. von, 39 Humphreys, 221 Humphreys, H. N., 301 Humphry, 200 Huxley, 217, 218, 219 Imhoff, 547 Jiickel, 393 Jackson, 331 Jacquelin-Duval, 524 596 INDEX OF PERSONS. Jaeger, G., 536 Janson, 482, 491 Jayne, 503, 512, 518, 524, 544, 547, 548, 550, 551 Jeffreys, G., 54, 457 Jekyll, Miss, 46 Jentink, 248, 252, 253 Jhering, von, 140, 142, 360 Johnson, Athol, 354 Jolly, 337 Joly, 370, 372 Joseph, 350 Karoli, 532 Kawall, 551 Kerckring, 344 Kiesen wetter, von, 281 Kingsley, 539, 554 Kirk, 565 Kitt, 363, 383, 384, 386, 390 Kleyn, 453 Klingelhofer, 547, 551 Klob, 187 Koenen, von, 436 Kolbe, 484, 503 Kolliker, 142 Kostanecki, von, 175 Kraatz, 146, 454, 456, 484, 485, 494, 498, 502, 506, 509—511, 515, 516, 523, 545, 547, 548, 550, 551, 552 Krause, 455, 548 Kriechbaumer, 147 Krohn, 425 Kroyer, 151 Kuchenmeister, 560 Kuhnt, 339 Laboulbene, 512 Lacaze-Dutbiers, 171 Lacepede, 540, 561 Lafosse, 244 Lamarck, 4 Lambert, 446 Lampert, 435 Landois, 58, 383, 387, 511, 555 Lane, 113 Lang, 566 Langalli, 336 Langerhans, 564 Lankester, 536 Lannegrace, 143 Lanzoni, 561 Lataste, 127 Laurent, 184 Lavocat, 354, 372 Le Clerc, 357 Leech, J. H., 46 Lefebvre, 500 Le Gendre, 184 Leger, 527, 538 Legge, 46 Leichtenstern, 181 — 185 Lereboullet, 515 Le Senechal, 530, 535, 542 Letzner, 280, 523, 550 Leuckart, 168—170, 566 Levacher, 566 Leveling, 458 Lidth de Jeude, van, 58 Linnaeus, 453 Lisfranc, 355 Lister, 218, 457 Loriol, P. de, 436, 437, 438 Loudon, 47 Lucas, 399 Lucas, H., 462, 536, 542, 550, 551 Ludwig, H., 433, 566 Lunel, 58, 554 Lirtken, 433 Lydekker, 105, 217, 233 Macalister, A., 112, 278 MacAndrew, 54 MaeBride, 440 McCoy, 52 Mcintosh, 470, 564 Maggi, 530 Magitot, 198, 203, 205, 210, 221, 244, 245, 270 Malm, 469 Manifold, 451 Mantell, 436 Marjolin, 355 Marsh, 349 Marsh, C. D., 565 Marsh, O. C, 364, 366, 368 Marshall, 86 Martens, von, 155 Martin, 430 Mason, 282, 488, 498, 509, 548, 550 Mason, F. , 355 Masters, 60, 84, 310 Mayer, 200 Mazza, 555 Meckel, 278, 346, 458, 459 Melde, 355 Meldola, 284 Meyer, A. B., 441, 445 Michaelsen, 162, 164, 165 Mielecki, von, 175 Milne-Edwards, 151, 202, 527 Mitchill, 561, 563 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-Tandon, 280, 304 Morand, 346, 348, 354, 399 Moreau, 540 Morgan, T. EL, 157, 466 Morot, 245, 384 Morris, F. O., 44, 401 Mortillet, de, 186 Mosley, S. L., 45, 300 Muir, 352, 399 INDEX OF PERSONS. 597 Muller, A., 512 Muller, J., 173 Murray, 336 Nathusius, H. von, 285, 373, 374 Nehring, 57, 123, 210, 212, 216, 221, 235, 242 Neill, 540 Neugebauer, 183, 186 Neuhofer, 176 Newman, 51, 295, 300 Newport, 94 Newton, A., 44, 55 Nicholls, 155 Nilsson, 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 Pennetier, 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 Poultou, 304— 307, 320, 321, 323 Prackel, 184 Prevost, 457 Price, 566 Puech, 181 Puscb, 436 Putnam, 174, 396 Patz, 366 Quenstedt, 436 Quinquaud, 185 Eabl, 176 Ragusa, 548 Rambur, 50 Ramsay, R. G. W., 46 Ranse, de, 399 Rapp, 120 Rathke, 97, 468 Redi, 561 Reichenau, von, 392 Reid, 458 Reitter, 281 Rey, 547, 550 Richard, 150, 536, 543 Richardson, 148 Richmond, 279 Kidgway, 393 Rijkebascb, 329 Ritzema Bos, 512, 551 Rivers, 47 Rober, 283 Roberts, G., 461 Roberts, T., 442 Robinson, H., 99 Roder, von, 551 Rogenhofer, 284, 285 Romanes, 425-428 Romano, 523 Rorberg, 355 Rosel von Rosenhof, 526, 530, 536 Rosenberg, 116—118, 138, 373, 383 Rosinus, 436 Rouget, 523 Rousseau, 152 Roux, 35 Rudinger, 330 Rudolphi, 207, 244 Rueff, 344 Rutiineyer, 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, O., 194 Sclater, P. L., 396 Sclater, W. L., 374 Scudder, 50 Seba, 565 Sedgwick, 84, 92, 93, 173, 197 Seerig, 348 Seidel, 176 Springe, 523 Serville, 412, 413 598 INDEX OF PERSONS. Shannon, 185 Sharp, D., 43, 53, 149, 411, 482, 494, 499 Shaw, E., 413 Shaw, V., 401 Sherrington, 137, 138, 144, 168 Siebold, von, 148 Sinety, 184 Smit, 471 Smith, E. A., 287 Smith, F., 551 Smith, S. J., 151 Solger, 141 Soubeiran, 529 South, 300 Spengel, 466 Speyer, 283 Spinola. 512 Spronck, 329 Stamati, 538 Stannius, 142, 455, 461, 512, 522, 547 Staudinger, 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 Sundevall, 471 Sutton, 105, 176, 179, 180, 188, 555 Tachard, 398 Tarnier, 185, 345 Taschenberg, 512 Tegetmeier, 57, 393 Testut, 187 Thielmann, 277 Thomas, O., 56, 120, 199, 228, 230, 246 —249, 254, 257, 258, 313, 322, 397 Thompson, W., 565 Thomson, 412 Thomson, Wyville, 466 Tiedemann, 184, 512, 536, 540 Tischbein, 511 Traquair, 469 Treitschke, 284 Trelat, 451 Treuge, 512 Trimen, 51, 300 Trinchese, 118 Tuckerman, 170, 555 Turuer, Sir W., 465 Urbantschitsch, 177 Vaillant, 309, 471 Viborg, 180 Virchow, 74, 177, 178, 17 Voigt, 58 Vrolik, 58 Wagner, 421 Wagner, J., 451 Walsingham, Lord, 300 Ward, E., 379 Warpachowski, 540 Watase, 451, 463 Waterhouse, F. 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