Reh, mae We ih | yi MMT So oy 3 , ES = : ub Ze iad — ae se es SSS SS et Cry Caal ht Oy il AEB

; cs sks, oe : X brie (@) ‘ a Oncrae : aS ey < i 4, S ; iy | ul | A Al | H i 4 { * i) i} H Thy al Yprii al “> “A, aD oar vi Sn artes? fp, SN Ss i me) ~ ‘J ne Ae of i é ae + ‘ j . ANNALS - LYCEUM OF NATURAL HISTORY. — : VOLUME IX. 1896-1897. NEW YORK: PUBLISHED BY THE ACADEMY. i OFFICERS OF THE ACADEMY. 1897. PRESIDENT. J. J. STEVENSON. VICH-PRESIDENTS. H. F. OSBORN, Ne ee RON: CORRESPONDING SECRETARY. WILLIAM HALLOCK. RHCORDING SHCRHTARY. J. F. KEMP. TRHASURER. CHAS. F. COX. COMMITTEE OF PUBLICATION. - J. K. REES, J. F. KEMP, H. F. OSBORN, Ness Rone NG D. S. MARTIN, WILLIAM HALLOCK. THOS. L. CASEY, Editor of Annals. CONTENTS OF VOLUME IX. BY FRANK COLLINS BAKER. Art. VII.—On the Modification of the Apex in Gastropod Mollusks BY THOS. L. CASEY. Art. VI.—Coleopterolozical Notices, VII. BY 0. F. COOK AND G. N. COLLINS. Art. I.—The Craspedosomatide of North America . BY HAROLD JACOBY. Art. IJ.—On the reduction of Stellar Photographs, with Special Reference to the Astro-Photographic Catalogue Plates . : Art. V.—On the Permanence of the Rutherfurd Puotomaphi’ Plates BY J. PLAYFAIR M’MURRICH. Art. IV.—Notes on some Actinians from the Bahama Islands, Collected by the late Dr. J. I. Northrop BY HEINRICH RIES. Art. I11.—The Monoclinic Pyroxenes of New York State 195 181 124 Norre.—For descriptive references to the twenty plates which accompany the present volume, see pages 94-100, 179, 180, 194 and 686-704. AONEN AT'S OF THE NEW YORK ACADEMY OF SCIENCES, VOLUME IX. l.—The Craspedosomatide of North America. BY O. F. COOK AND G. N. COLLINS. Read October 7, 1895. INTRODUCTORY NOTE ON THE FAMILIES OF DIPLOPODA.* Since the completion of the paper on North American Craspe- dosomatidee many dissections and drawings of representatives of other families of Diplopoda have been made, resulting in the ap- prehension of more light on the affinities of the group here treated. Among the forms studied are Striaria, Stemmatoiulus, Cambala, Cambalopsis, Nannolene, Pseudonannolene, Lysiopetalum, Pzero- mopus, Siphonophora, Siphonotus, Siphonorhinus, Spirostreptus, Spirobolus, Paraiulus, Pseudoiulus, and numerous representatives of the Polydesmoidea. The result of this examination is opposed to the opinion of Pocock, Latzel and Berlese, that the presert family is allied most closely to the Iulide. It seems more reason- able to place the Craspedosomatide next to the Polydesmide and to arrange the families of Diplopoda as follows: Class DIPLOPODA. Subclass PSELAPHOGNATHA. Order Ancyrotricha. Family PoLYXENID4,—genera Polyxenus and Lophoproctus. Distribution: Cosmopolitan. * By O. F. Cook. ANNALS N. Y. ACAD. Scr., IX, Oct., 1895.—1 2 The Craspedosomatide of North America. Order Lophotricha. Family PALZOCAMPID&,—genus Paleocampa. Distribution: A fossil from the carboniferous Mazon Creek beds, Lllinois. Subclass CHILOGNATHA. Order Oniscomorpha. Suborder GLOMEROIDEA. Family GLOMERIDA,—genera, Glomeris, Latzelia (preoccupied by a fossil chilopod. ) Distribution: Europe, Asia and North Africa. Family GERY AISIID&,—genus Gervaisia. Distribution: Europe. Suborder ZEPHRONIOIDEA. Family ZEPHRONIID®,—genera Zephronia, Sphzeropceus, Spheerotherium. Distribution: South Africa and Southern Asia. Order Limacomorpha. Suborder GLOMERIDESMOIDEA. Family GLOMERIDESMID#,—genus Glomeridesmus. Distribution: South America and the West Indies. Family ZEPHRONIODESMID®,—genus Zephroniodesmus. Distribution: Sumatra. Order Colobognatha. Suborder POLYZONOIDEA. Family PoLyzoNniip®,—genera Polyzonium, Platyzonium, type P. getsch- mannii (Cryptodesmus getschmannii Karsch. ) Distribution: North temperate regions of both hemispheres. Family SIPHONOTID®,—genera, Bdellotus, type B. formosus (Siphonotus formosus, Pocock), Rhinotus, type 2. africanus (Siphonotus africanus, Cook), Siphonotus. Distribution: Tropics of both hemispheres. This and the previous family may constitute a superfamily Polyzonoide, equivalent to the superfamily Siphonophoroide : Family SIPHONOPHORID#,—genera Bactrois, type B. vittatus (Siphonophora vittata, Pocock), Siphonophora. Distribution: Tropics of both hemispheres. Family SIPHONORHINID#,—genus Siphonorhinus. Distribution: Tropics of both hemispheres. The Craspedosomatide of North America. 3 Suborder PLATYDESMOIDEA. Family PLATYDESMID#,—genera, Andrognathus, Brachycybe, Dolistenus, Platydesmus, Pseudodesmus. Distribution: North America, Europe and Asia. Suborder SIPHONOCRYPTOIDEA. Family SIPHONOCRYPTID®,—genus Siphonocryptus. Distribution: Sumatra. Order Monocheta. Suborder STEMMATOIULOIDEA. Family STEMMATOIULID,—genus Stemmatoiulus. Distribution: Tropics of both hemispheres. Suborder XYLOIULOIDEA. Family XYLOIULID#,—genus Xyloiulus (Xylobius Dawson). Distribution: A fossil from the Sigillarian stumps of the ecarboniferous beds of Nova Scotia. Order Merocheta. Suborder LySloPETALOIDEA. Family LYSIOPETALID®,— genera, Callipus, Megastrephon, Eurygyrus, Lysiopetalum, Spirostrephon. Distribution: North Temperate Zone. Suborder CRASPEDOSOMATOIDEA. Family CRASPEDOSOMATID®, — genera, Aporogona, type A. crenulata (Craspedosoma crenulatum, Latzel), Atractosoma, Attemsia, type A. stygia (Latzel), Aulacosoma, Bactropus, Basigona, type B. athesina (Fedrizzi), Bom- ogona, type B. lombardica (Brolemann), Branneria, Chelogona, type C. car- pathica (Latzel), Caseya, Chordeuma, Cleidogona,* Conotyla, Craspedosoma, Grypogona, type G. latzeli ( Atractosoma latzeli, Verhceff), Haasia, Haplogona, t+ type H. oculodistincta (Verheeff), Mastigona,t type WZ. mutabilis (Latzel), Melogona, type JZ. rhenana (Chordeuma gallicum var. rhenanum, Verhceff), Mycogona, type M. germanica (Chordeuma germanicum, Verhceft), Nanogona, type NV. polydesmoides (Leach), Ochogona, type O. pusilla (Atractosoma pusil- lum, Verheeff), Phanogona, type Ph. bohemica (Rosicky), Pseudotremia, Rhis- cosoma, Scoterpes, Trachygona,{ Trichopetalum, Underwoodia, Xiphogona, f type X. flavesceus (Latzel), Zygonopus. Distribution: North Temperate regions and New Zealand. *Cleidogona is proposed for Cryptotrichus Packard, preoccupied in Co- leoptera. + These three names take the places respectively of Latzelia, Poratia and Haasea, proposed by Verhceff in recent numbers of the Zodlogischer Anzeiger, but all preoceupied in Diplopoda,—Latzelia twice. { For Trachysoma, recently proposed by Attems but preoccupied in Crustacea. 4 The Craspedosomatide of North America. Family HETEROCHORDEUMID®,—genera Heterochordeuma, Pocockia. Distribution: Ceylon and Sumatra. Family STRIARIID&,—genus Striaria. i Distribution: Temperate North America. Suborder POLYDESMOIDEA. Family AMMODESMID&,—genera Ammodesmus Doratodesmus ( Doratonotus Pocock, pre-occupied ). Distribution: Tropical Africa and Asia. Family AUGODESMID#,—genera Augodesmus, Euryurus, Polylepis. Distribution: Tropical America. Family CAMPODESMID#®,—genera Campodesmus, Cyrtodesmus. - Distribution: Tropical Africa and America. Family CHELODESMID#,—genera Chelodesmus,* Leptodesmus, Odonto- peltis, Odontotropis, Priodesmus, Rhachodesmus (Rhachis, is pre-occupied), Strongylodesmus. Distribution: Tropical America. Family CRYPTODESMID%,—genera Aporodesmus, Cryptodesmoides, Crypto- desmus, Poratia, Trichopeltis. Distribution: Tropics of both hemispheres. Family CyCLODESMID4,—genus Cyclodesmus. Distribution: Tropical America. There seems to be little ground for supposing that the Malayan genus Doratonotus is re- lated to the Mexican genus Cyclodesmus. Family GOMPHODESMID,—genera Astrodesmus, Aulodesmus, Gomphodes- mus, Harmodesmus, Marptodesmus, Sphenodesmus, Tycodesmus. Distribution: Hast Tropical Africa. Family HAPLODESMID&,—genus Haplodesmus (Haplosoma Verheeff, pre- occupied ). Distribution: Amboina. Family ONISCODESMID®,—genera Cyphodesmus, Oniscodesmus, Spheerio- desmus. Distribution: Tropical America. Family OXYDESMID#,—genera Anisodesmus, Isodesmus, Mimodesmus, Orodesmus, Oxydesmus, Scytodesmus, Tylodesmus. Distribution: Tropical Africa. * Pores 13, on segments 5, 7, 9, 10-19, latero-inferior; sternum of fifth seg- ment of male with four processes, that of the sixth with two; male legs with a large process from the apex of the penultimate joint. Type Chelodesmus marxit, U. S. National Museum. The Craspedosomatide of North America. 5 Family PARADOXOSOMATIDZ,—genera Paradoxosoma, Trachydesmus. Distribution: Corfu. Family PHATYRRHACHID#,—genera Acanthodesmus, Odontodesmus, Platyrrhacus, Trachelodesmus. Distribution : Tropics of both hemispheres. Family PoLYDESMID#,—genera Brachydesmus, Cheetaspis, Goniodesmus, type G. fissilobus (Polydesmus fiissilobus, Brolemann ), Polydesmus, Scytonotus. Distribution: Temperate Europe, Asia and North America. Family STRONGYLOSOMATID,—genera Anoplodesmus, Centrodesmus, Cne- madesmus, Cylindrodesmus, Eudasypeltis, Icosidesmus, Iulidesmus, Ophio- desmus, type O. verheeffi (Strongylosomum verhceffi, Brolemann ), Orthodesmus, Prionopeltis, Rhachidomorpha, Strongylosoma, Tetracentrosternus, Trogo- desmus. Distribution: Cosmopolitan, mostly Tropical. Family StTYLODESMID#,—genera Cynedesmus*, Lophodesmus, Pyrgodes- mus, Stylodesmus. Distribution: Tropics of both hemispheres. Family X YSTODESMID #,—genera Eurydesmus, Fontaria, Pachydesmus, type P. crassicutis (Wood), Rhysodesmus, type R. limaz (Sauss.), Stenodesmus, Xystodesmus, type X. martensii (Peters). Distribution: North America and Eastern Asia. Order Diplocheta. Suborder SPIROSTREPTOIDEA. Family SPIROSTREPTID,—genera Alloporus, Archispirostreptus, Ctenoiu- lus, Odontopyge, Plusioporus, Rhynchoproctus, Spirocyclistus, Spiropceus, Spirostreptus, Thyropygus. Distribution: Tropics of both hemispheres and South Africa. Family TRACHYSTREPTIDZ,—genera Trachystreptus, type 7. cambaloides, + Lophostreptus, type L. magnus (Karsch).t Distribution: Tropical Africa. * Type Cynedesmus formicola, U. S. National Museum; the genus also in- cludes C. ornamentatus (Cryptodesmus ornamentatus, Karsch). {Trachystreptus cambaloides sp. n.—Nearly black; antennz strongly clavate, lying in lateral concavities of the first segment; head, first and last segments closely punctate; other segments with numerous irregular cariniform longi- tudinal ridges. Segments 37-39. Length 25 mm.; width 2.2mm. Habitat, Liberia. { I have examined the type of Glyphiulus magnus Karsch, in the Berlin Mu- seum. 6 The Craspedosomatidx of North America. Suborder CAMBALOIDEA. Family PSEUDONANNOLENID®,—genus Pseudonannolene. Distribution: South America. Family NANNOLENID#,—genera Nannolene, Iulomorpha. Distribution: Western North America and South Africa. Family CAMBALID®,—genus Cambala. Distribution: Eastern North America. Family CAMBALOPSID&®,—genera Cambalomorpha, Cambalopsis, Glyphiulus, Trachyiulus, Trichocambala. Distribution: Southern Asia. Family ARCHIIULID&,—genera Archiiulus, Archicambala, type A. dawsoni (Xylobius dawsoni, Scudder). Distribution: Fossils from the Sigillarian stumps of the car- boniferous beds of Nova Scotia. Suborder [ULOIDEA. Family [uLIp#,—genera Allaiulus, Anaulaciulus, Brachyiulus, Chromatoiu- lus, Cryptoiulus, Cylindroiulus, Diploiulus, Hemipodoiulus, Iulus, Mesoiulus, Micropodiulus, Pachyiulus, Paleoiulus, Tachypodoiulus, Typhloiulus, Uncei- ger, Xestoiulus. Distribution: North Temperate Zone. Family PARAIULID#,—genera Paraiulus, Pseudoiulus, Ptyoiulus, type P. pennsylvanicus (Brandt). Distribution: Temperate North America. Family P#RoMoPID&,—genus Pzeromopus. Distribution: California. Family BLANIULID&,—genus Blaniulus. Distribution: Europe. Family IsopaTip,—genus Isobates. Distribution: Europe and Temperate North America. Suborder SIPHONOIULOIDEA. Family SIPHONOLULID%,—genus Siphonoiulus.* Distribution: Sumatra. *This most remarkable form is probably worthy of ordinal rank and might be called Rhinognatha. The absence of legs from the third and fourth seg- ments indicates want of affinity with the Colobognatha, while the form of the head and antennze will doubtless exclude it from the Diplocheta. The Craspedosomatide of North America. T Order Anocheta. Suborder SPIROBOLOIDEA. Family SpPrRoBoLiIp#,—genera Acanthiulus, Rhinocricus, Spirobolellus Spirobolus, Thyroproctus, Trigoniulus. Distribution: Tropics of both hemispheres. Subclass ARCHIPOLYPODA. Family EUPHOBERID#,—with numerous genera. This group is an assemblage of widely different fossil forms, some of which will probably prove to be true Chilognatha; thus the genus Amnilyspes bears striking resemblance to certain gen- era of Polydesmoidea. The species of Hupheberia and Acan- therpestes, however, are types apparently very distinct from the Chilognatha. The six dorsal sete are located as in Craspedoso- matide, while the sete and unpaired seminal duct are both pres- ent in Stemmatoiulus, the representative ot an order equal in an- tiquity to the Archipolypoda, so that the derivation of the Chilognatha from the Archipolypoda is not indicated by present evidence, though a common origin is most probable. The orders and families of Chilognatha are in need of careful description which will make the labor of characterizing species and genera less difficult. In all the suborders, except the Poly- desmoidea, the assignment of the genera to the different families is made with some confidence. The classification of the Polydes- moidea is in a backward state, owing to the fact that the older writers neglected many of the more important characters and the arrangement of some of the genera may prove to be more or less — artificial and provisional. The character which during our study of the Craspedosoma- tidze we supposed to be unique among recent Diplopoda—the dorsal setzee—is shared by Stemmatoiulus, which has even the curious setiferous papille of the last segment, though there are four in Stemmatoiulus, and only two in Craspedosomatide. The co-existence in Stemmatoiulus of pores and setz show that the presence or absence of either of these structures is not of itself evidence of close affinity or wide diversity. The supposition that the spines are in some way a substitute for the repugnatorial apparatus is also shown to have no foundation. The presence of external seminal ducts in Tulide and their ab- sence in Craspedosomatide is at once an important and an easily 8 The Craspedosomatide of North America. stated diagnostic character, and has been used in the following synopsis of orders. So various are the adaptations of legs in different parts of the body to assist in copulation, that the weight of the principal distinction on which the group Oniscomorpha rested has its relative importance somewhat diminished. Others of its characters are evidently codrdinations with its habit of rolling into a sphere, and are not necessarily to be interpreted as evidences of a diversity of origin. Synopsis of Orders of CHILOGNATHA. Body composed of not more than 13 distinct segments; male copulatory or- gans several-jointed, situated at the posterior end of the body. Order Oniscomorpha Body composed of at least 19 segments. Males with the legs of the seventh segment unmodified; external seine! ducts long, divaricate, beset with whorls of seme orden Limacomorpha Males with one or both pairs of legs of the seventh segment transformed into copulatory organs. Males with eight pairs of legs in front of the 4-5-jointed copulatory or- gans, which replace the posterior pair of legs of the seventh segment. and the anterior pair of the eighth; segments 1-5 each with a sin- Olle airrOl Mees eshte sasceniatoaeaesaueneceiasc nace Order Colobognatha | Males with seven pairs of pre-copulatory legs; copulatory organs not more than 2-jointed, replacing one or both pairs of legs of the seventh segment. External seminal apertures appearing as perforations of the cox of HOS SECO! Jone GE EEA conchogaachasodansencpscocodeer Order Merocheta Coxze of second male legs imperforate. Labrum with a median sinus; segments 1-5 with one pair of legs each; external seminal ducts wanting, the apertures located at the base of the-second pair of legs.................. Order Anocheta Labrum with a median tooth; segment 3 or 4 footless; external seminal ducts present. Pleure entirely obliterated; legs 7-jointed; external seminal apertures through paired, unjointed; external ducts inserted at the base of the second male legs............ Order Diplocheta Pleurze nearly free; legs 8-jointed; external seminal aperture single, through a 2-jointed external duct inserted at the base of feysecondima le Megs: ne sssscceeeeeeeseeee scorer Order Monocheta Notes ON SPECIMENS AND TYPES. As Lysiopetalide and Chordeumide the American species of this family have been subject to more revision than those of any The Craspedosomatide of North America. 9 other. We concluded, however, after attempting a study of the forms occurring in central New York, that more complete de- scriptions of the known species would be necessary for their identification and an understanding of their generic relationships. Hspecially undesirable would be the projection of the new species into the existing confusion. Through the kindness of Drs. Riley and Gilbert we were per- mitted to examine the types in the National Museum and the col- lection of the University of Indiana. These, with our own col- lection, gave us examples of nearly all the described species. Unfortunately the types of the species described by Wood, Packard, Cope, Ryder and Harger are not accessible, and may be no longer in existence. Drs. Cope and Ryder expressed their regret at being unable to assist us, as their specimens could not be found. Dr. Packard favored us with a vial of specimens of Pseudotremia and stated that his material may have been de- posited in the Museum of Comparative Zodlogy, at Cambridge. Owing to the illness of Dr. Hagen we could not get access to the Specimens, nor ascertain whether they are in the Museum. The Museum of the Philadelphia Academy of Sciences contains but one species of this family, a Cryptotrichus, but not Wood’s type. A study of the material at hand soon showed us that we had entirely underestimated our task; it purported to consist of twelve of the fourteen species then known, but from it we have - been compelled to erect seven additional species. Collections made by ourselves added four more, and when this paper was nearly finished Captain Casey presented a bottle of California Myriapoda among which we found still another novelty, increas- ing to twenty-eight the number of species known from North America. From this it may be inferred that many species are — still to be discovered, especially since the distribution is usually very local. Individuals are scarce, and require the most careful collecting in very moist habitats where species of other-families are not commonly found, and which are therefore not visited except in special quests for Craspedosomatide. Our thanks are due to Mr. R. Innes Pocock, of the British Museum, for many kindnesses in the way of opportunity of ex- amining the collections under his charge, and for specimens of Huropean Craspedosomatide which have enabled us to verify our opinion of their generic distinctness from American forms. 10 The Craspedosomatide of North America. Novres on HABITS AND STRUCTURE. The habits of living Craspedosomatidz show considerable differ- ence from those of other families, and emphasize the importance of some structural characters which have, we think, not received proper weight in classification. Reference is made chiefly to Trichopetalum,* which on account of its abundance, small size and transparent exo-skeleton is well suited for observation. But so much alike are all the members of this family, that there is probably little difference with regard to considerations of habits or structure, with the exception of lack of eyes in cave forms. In central New York Trichopetalum is one of the nrost common and generally distributed of Diplopoda, though liable to be over- looked on account of its small size. Like the other members of this family it inhabits rather wet places, but does not seem par- ticular in other respects, living among mosses and rotting leave and under sticks and pieces of bark. When undisturbed the gait of Trichopetalum is quite leisurely, but when frightened it never attempts to protect itself by coiling up, relying on its powers of flight. This course is warranted by the fact that the Craspedosomatide are more fleet of foot than other Chilognatha, though some species of [ulidez are able to progress at a very respectable pace. It is also noteworthy that the fleeter species of Julidez (Paraiulus) are not inclined to coil up when frightened, but attempt to run, and even when captured and held they do not at first employ the ruse of coiling up and feigning death, but attempt to escape by vigorous wriggling. All Iulidz seem, however, to have the power of coiling up, and . will sooner or later exercise it for protection. The ability to coil up depends on a certain form and structure of the segments. The dorsal part must be longer than the ven- tral, and the amount one segment overlaps the next must be greater in the form that is able to coil up. There is also necessi- tated a larger amount of flexible integument between the seg- ments. The Iulidz manifest all these characters, even to the flattening ~ of the pedal laminz and the basal joints of the legs; other Chilog- natha have them, usually in a less degree. * The species described in this paper as Trichopetalum album. The Craspedosomatide of North America. int In the Craspedomatide, however, the dorsal and ventral por- tions of the segments differ less in length, and although the pedal laminz have no chitinized connection with the pleure, the body is not coiled in a close spiral. Even when tightly contracted in alcohol, Trichopetalum and its allies are able to do little more than form a circle, a position of doubtful use as a means of de- fense, especially when compared with the close spirals which Iu- lide assume. The Craspedosomatide lack, besides, the strong exo-skeleton and repugnatorial secretion of the other families, so that for them coiling up would not have much advantage as a means of defense. As might be inferred from the preceding statements the in- stinct of feigning death is not developed in Craspedosomatide. While they are able they attempt to run away, but if held in the hand the heat and drier atmosphere are soon fatal. This was no- ticed especially in Underwoodia polygama. lf held in the hand and exposed to sunlight they were soon unable to run in the ordinary way, wriggled convulsively a few times and died. This would happen in a minute or two, while the specimen was being examined with a lens to determine the sex. In such cases care _ was taken to see whether the animals would recover, but they did not do so. Individuals of Trichopetalum are also of very delicate organi- zation. They will not endure captivity to any such extent as other Chilognatha, and will speedily die under conditions appar- ently favorable to the other families. Dryness of the atmos- phere is quickly fatal, and the animals seem to suffer if the venti- lation is insufficient, even though the moisture is adequate. On the other hand, it should be mentioned that a specimen of Conotyla fischert was found running about on a log one morning in February, when the ground was frozen and the cold severe enough to have covered with ice-crystals both the ground and the under side of the log. Such ability to withstand the cold ap- peared very strange at the time,and on investigation it was found that beetles and spiders under the log were incapable of motion, though they recovered after being warmed in the hand. The Conotyla was not, however, under the log, but on the upper side of it, apparently quite as lively and vigorous as during the warmer parts of the year, showing that he had been able to with- stand the cold of the February night and either keep lively 12 The Craspedosomatide of North America. through it or recover his powers at a temperature considerably below the freezing point. This can be understood if we may sup- pose that these animals have means of obtaining and using larger amounts of oxygen than other tracheata, and are more warm-blooded. In accord with this supposition is the following observation on Trichopetalum by Dr. John A. Ryder, several times verified by ourselves. “While examining some living specimens of Trichopetalum lunatum under the microscope, about a year since, I observed that the respiration of the animal appeared to be conducted in a most singular manner. The air seemed to be drawn in under the labrum, and in some way to enter the dorsal cardiac sinus as bubbles, which could be traced for some distance, more than half the length of the animal, as they traveled slowly backwards, until they disappeared over the opaque mass of ingested food contained in the intestine. These bubbles of air always passed backwards. It may be that they passed backwards inside of the intestine, but the impression that I got was that they were traveling through the cardiac sinus or dorsal heart of the animal. This cireum- stance may explain why it is that there are no pores on the side of the body, though it is true that the lateral pores af millipeds are usually ‘foramina repugnatoria,’ and have nothing to do with the trachea or respiratory apparatus. This raises the question whether our Lysiopetalide are not distinguished from other forms in some more important way than has been hitherto sup- posed.” In connection with this ability to withstand cold should be mentioned the fact that in Europe the Alpine species affecting the highest altitudes are Craspedosomatide. The eyes are well developed in Trichopetalum, though the ocelli are only moderately numerous. That is, the individual ocelli are large, prominent and convex, as is usual in the family, which has eyes apparently better developed than in other Diplopoda, and not flat or merely pigmented spots as in other cases: But the type of eye seems to be the same as in the Iulidz and other families, and the animals take no notice of anything in front until the antenne are in contact with the object, indicating that in all probability, the eyes are unable to form definite images, but are merely spots sensitive to light. Yet the animals do not appear to have as decided objection to light as members of other The Craspedosomatidee of North America. 13 families. When a specimen of Trichopetalum is uncovered no perturbation is apparent unless the animal is actually touched. Not only do the antennze come in contact with an object, but also as a usual thing, the front of the head. The creatures are not able to overcome their momentum with sufficient quickness, or else their mental operations are too slow. They are not, how- ever, worse off than many animals of higher organization, and better developed sense-organs, for many reptiles and mammals do not, as a rule, turn out for an obstacle until they have come into actual contact with it. That the eyes of the Diplopoda are incapable of forming im- ages is, however, chiefly to be inferred from their plan of struc- ture, as Lubbock has pointed out. And with the flattened eyes of Iulidz and Polyzonide this is at once plain; but the eyes of Craspedosomatidz are much more convex, regular and well-de- fined than those of the others, and approach more nearly the con- dition where effective vision might be possible. One of the most noteworthy characteristics of Trichopetalum exists in the great freedom of motion enjoyed by the head. In other families the head is set more or less deeply into the first seoment which is hollowed out in front to receive it, and is con- sequently incapable of more than a slight motion. In such cases the head is smaller, that is, narrower than the first segment ; but in the Craspedosomatide the head is much broader than the first segment, against which it is fastened as to a neck, and upon which it moves with considerable liberty in any direction. In like manner the mandibulary stipes are in this family excep- tionally developed, and capable of rapid movement in the pro- cess of chewing. The movement of the stipes in chewing has not been noticed in other Diplopoda, though its absence we have in some cases observed. The antenne are, in most species of the family, exceptionally slender, but do not noticeably differ from the diplopod type. In Trichopetalum, however, they are shorter and somewhat clavate. They are manipulated in the usual manner, though their motions are more than ordinarily quick. If the antenne are dipped into a liquid or touched against any thing that sticks to them they are at once cleaned in the mouth. How the animals manage to keep the other parts of their bodies clean is an interesting question, for although they live in places 14 The Craspedosomatide of North America. where they would be likely to become soiled they are always clean to a degree. But when not to be cleaned the antenne are frequently bent at the fourth joint and the end held near the mouth, for no reason apparent. In males the posterior pair of legs of the seventh segment are two-jointed, the distal joint being thick and clavate, and curved up against the side of the body. In walking, this modi- fied foot which cannot touch the ground, is waved back and forth in unison with the legs on either side. The copulation of these animals has not been observed. but that this struc- ture can have any part in the process is hard to believe or imagine, and that it is to be looked upon as a merely rudimen- tary structure seems more reasonable. In American Oraspedo- somatidee are found the transitional stages between the condition existing in the Polydesmide and Lysiopetalide, where only the anterior pair of feet of the seventh segment have been modi- fied for copulatory purposes, and the condition present in the Tulidee and Polyzonide, where both pairs are thus modified. As might be expected, the modification in form and the modification in function are apparently taking place gradually, and in the present case a part of the leg aids in copulation while the rest waves idly, “from force of habit.” Even in the Craspedosomatide which do not have the usual six bristles of each segment well-developed on the anterior part of the body, as in Pseudotremia and Chordeuma, the posterior median bristles of the last segment are well developed and to all appearances alike in all the species. They are curiously modified, consisting of a cylindric, or slightly conic, enlarged base, from the distal end of which projects a long, exceedingly slender, flex- ible bristle, or in this case more properly a hair. This is suffi- ciently stiff to remain nearly straight, but is much finer than the bristles of the preceding segments, and not brittle. Attached to the ends of these bristles have on several occasions been noticed fine threads like spiders’ web dragging out behind the animals as they walked, that is in Trichopetalum. And in the living specimens it has also been noticed that these modified bristles were sometimes carried vertically, and in others were nearly horizontal. The peculiar conformation of the bases of these bristles and of the apical portion of the segment suggests the possibility that these bases are articulated with the segment, The Craspedosomatide of North America. 15 and that the animal may have the power of moving them at will, and the desirability of being thus able to move them becomes evident if they are supposed to be spinning organs, while it would be useless if they have no special function. SENSE-ORGANS AND PROBLEMATICAL STRUCTURES. In the course of the systematic examination of the different forms it was necessary to mount above a hundred microscopic slides. These gave opportunity for the examination of the more minute structures of the animals, sometimes under tolerably favor- able conditions. Following are noticed briefly the structures which came to our attention. Some of them seem not to have been previously recorded, and our notes may be of use when a histologie study of the group is attempted. 1.— Antenne. On the antenne are several types of more or less hair-like struc- tures, all of which may prove to be sense-organs. 1. The So-called Olfactory Cones (figs. 61 and 190).—These are well developed in all the species, the number being always four, as is the case in most Diplopoda. We have counted hun- dreds of specimens, including representatives of all the families, and have never found less than four. There are more than four cones in Glomeride, some species of Spirobolus, and a genus of Polydesmidze from east Africa. The reports of one, two and three cones can be paralleled by the carelessness displayed in count- ing the segments of Chilopoda. The cones of Craspedosomatide appear to differ from those of other families only in being more slender, more like a wine bottle in shape, and with longer bases. 2. Hairs of Ordinary Form.—Such may occur on other parts of the body, and it is possible that all may have more or less of tactile function. According to Sazepin’s diagrams of the an- tennee of Iulide and Polydesmidez these hairs have neural con- nection, and the same conditions seem to obtain in sections of the antenne of Conotyla fischert. 3. At about the middle of the seventh joint, and pointing lat- terad when the antenne are extended, is a solitary, rather slender, mammillate-conic, transparent protuberance, narrowed at the tip and produced into a long, very slender, and exceedingly fine- 16 The Craspedosomatide of North America. pointed hair. (figs. 61 and 190.) This structure is about the size of the olfactory cones, but histologically it is different, the con- tents of the enlarged base being evidently granular, instead of longitudinally fibrillate as in the cones. Sazepin mentions nothing of this sort,and we have been unable to find anything similar on the antenne of Iulidz, Polydesmide, Lysiopetalide or Polyzonidz. The structure in question is prob- ably present in all Craspedosomatide, and may be looked upon as another evidence of the superior organization of this family. We have had no opportunity of examining the antenne of Sco- terpes, but find it in all the other genera here treated. 4. On the same side of the same joint, just above the previously mentioned organ is a considerable number of long slender cones, ” differing from ordinary hairs in being thicker, and with a large internal lumen. The base inserted in the chitin is large and bulbous. 5. On all sides of the distal portion of the sixth joint are scat- tered transparent cones differing from the preceding sort in being somewhat broader, with blunt rounded ends. They are also very thin-walled, the lumen being continued nearly or quite to the end, and are not enlarged at base. 6. On the fifth joint, more numerous toward, but not confined to the distal portion, are structures very similar to the last, but differing in that they are longer, sharp-pointed, and of somewhat denser tissue. They differ from those of the seventh joint in be- ing larger and longer and not enlarged at base. f 7. On the distal portion of each joint are hairs two or three times as long and large as the average. Similar hairs of other families are by Sazepin denominated ‘“ Schutzhaare,” explaining their greater size by supposing them to be a special provision for the protection of the sense organs, near which they are located. They are probably articulated to the antennal surface, being sur- rounded by a chitinous ring at base. That their role is not con- fined to what is mentioned above is shown by the fact that they occur on joints where there are no shorter sense-organs. A lu- men can be seen extending through more than half the hair, the distal portion of which is very slender and frequently flexuous. _ The above structures are described from Conotyla jischert. The same or equivalent seem to exist in other species, which do not, however, offer equal facility of observation. The Craspedosomatide of North America. 17 Il.—A Possible Auditory Organ. Between the base of the antenna and the neighboring ocelli is a ring-like elevation of the chitinous surface of the head. We have been able to find this in most of the diplopod families. In the Craspedosomatide it is well-developed,—nearly as large as a single ocellus. Sometimes it appears that the surface included in the ring is covered by a delicate membrane, at others the ap- pearance is that of a dark central spot or aperture (fig. 133). That the structure in question is a sense-organ appears very likely, but its function can only be conjectured. It is not impos- sible that it may prove to be an auditory organ. Certain species of Glomeride, of the genus Spherotherium are known to have stridulating organs, and in them, at least, an organ of hearing would be expected. That other diplopods stridulate is not known, and would seem unlikely. There have been also no experi- ments to determine whether they are able to hear, and such ex- periments would be very difficult and probably unsatisfactory. Iil.— The Labral Hairs. On the labrum is a transvere row of long hairs provided in some forms, at least, with neural connections (fig. 194). These hairs do not appear to be especially differentiated in structure. They are placed in depressions, though this is not so much the case in the present family as in the Iulide. The best guess would probably be that they have merely tactile function. The number and arrangement of the hairs is very constant. LV .—Gnathochilarium. 1. Cones similar to those of the Antennz.—On the apices of the processes of the stipes, and on the lingual lobes are more or less numerous conical structures resembling in a general way the so- called olfactory cones of the antenne (fig. 59). The fibrillated structure is still more apparent than in those organs, and the neural connections are very evident. They are also much shorter and proportionally broader than the antennal cones, have thicker walls, and a more evidently hollow apex, the wall there being exceedingly thin. The size is very variable. There is no inherent improbability in the idea that these are ANNALS N. Y. AcAD. Scr., [X, Oct., 1895—2 18 The Craspedosomatide of North America. also olfactory organs. They would enable the animal to detect substances suitable for food, being always near the ground, and directly in front of the mouth. They are found in all Chilog- natha, but in Craspedosomatidz are best developed. They are not so muca as usual confined to the apices of the structures on which they are placed, occupying nearly the whole lateral edge of the exterior process of the stipes. 2. The interior Cone of the Lingual Lobes.—This is larger and longer than the others, directed mesad and somewhat curved in that direction. It is sharp-pointed and apparently of homo- geneous structure, no lumen being apparent. Its special fune- tion, if any, must be different from that of the other cones. 3. The Styliform Processes.—Near the anterior-interior corner of the lingual lamina is a peculiar, usually more or less tri- or quadri-dentate structure apparently consisting of a solid piece of chitin. This does not appear to exist in the other described families of diplopods, except in some Polydesmide (e. g., Scyto- notus). We have no notion of any purpose it could serve. 4. The Bristles of the Gnathochilarium.—On the lower surface and lateral edges of the gnathochilarium are a few hairs of greater size than the others, and with enlarged bases. They are probably tactile in function. 5. Probable Taste-pits.—The chitinous covering of the lingual lobe is on the superior side extended backward over the ends of the lingual lamine. This extension consists of a chitinous rim enclosing an oval space covered by a transparent membrane in which are scattered numerous pits, each surrounded by a chitinous ring. These are shown in fig. 62 as they appear in Conotyla jischerv. V.—The Dorsal Sete. These structures characteristic of the family are of transparent chitin, narrowly conic, with an enlarged base which fits into the socket of the setigerous tubercle. Sections show that the setz are hollow, and that the chitinous exo-skeleton is interrupted by an aperture in the middle of the socket. The median pair of sete of the last segment are different from the others in that there is a more broadly conic base tipped with a slender hair. The function of these may be different from that of the others, though what the function of either can be is hard The Craspedosomatide of North America. 19 to conjecture, unless they are spinning organs, as suggested in another place. : In common with Polydesmide the anal valves of this family are provided with slender bristles, but there are always three pairs instead of two, the constant number in Polydesmide. The preanal scale has two slender bristles, as in Polydesmide. These are of the same form as those of the anal valves, have en- larged bases and may prove .to be tactile organs; at least this would be a reasonable inference in case neural connection can be proven. VI.—Legs. The legs are increasinglythirsute distad, some of the hairs being especiaily long and with enlarged bases, perhaps tactile organs. On the inner edge of the last joint of the first and sometimes of the second legs is a pectinate row of stout hairs or bristles; it may be these are of use in feeding or in cleaning the face and antenne. The first legs have the claw large, and two distinct supple- mentary claws. The other legs usually have one supplementary claw. The other structures of the legs are more properly to .be noticed under the head of sexual characters. On the claw of all the legs of Conotyla fischeri is a peculiar hair, which we have not found on other species. The hair in question rises from the inferior groove about midway between base and apex, and lies closely appressed to the claw, beyond which it extends as an exceedingly fine, frequently flexuous fila- ment, needing careful observation to be seen with a quarter-inch objective. When the animal is walking this hair necessarily comes first in contact with the ground and seems conveniently located for a tactile organ. It appears very remarkable that the other species have no similar structure, but a careful search has failed to find it. VII.—Secondary Sexual Characters. These are, as in other families of Diplopoda mostly confined to modifications of the anterior male legs. We give here a list of such modifications, not including those of the ninth male legs which are described under the different genera and species. 1. Body of.males stouter and broader, especially segments six and seven, than that of females. This is not always noticeable, but is very evident in Cleidogona. 20 The Craspedosomatide of North America. 2. Second legs strongly crassate, a character appearing only in Underwoodia. 3. Second legs abnormally slender: Caseya. 4. Coxe of second legs with a conic process: Zygonopus, or with a long curved or hamate process: Caseya, Underwoodia. 5. Third joint of second legs with a cushion-like bunch covered with conic processes : Conotyla. . 6. Third joint of second legs tuberculate on ventral face: Caseya. 7: Last joint of second legs with a pectinate row of stout hairs on the inner edge: Conotyla, Cleidogona, and probably the other related genera. 8. Claw of second legs very small, much exceeded by a tuft of long flexuous hairs : Underwoodia. 9. Legs 3-7 strongly crassate: Trichopetalum, less so in mos of the other genera. 10. Coxe of third legs produced into a rounded prominence with a tuft of hairs at apex: Caseya, Underwoodia. 11. Third joint of third legs much crassate: Underwoodia. 12. Last joint of third and many succeeding legs with the ven- tral face hispid with fine bayonet-like spines: Conotyla, Clei- dogona, Pseudotremia. 13. Fourth joint of fourth and fifth legs with a cushion-like bunch covered with conic tubercles : Conotyla. 14. Sixth legs with coxa somewhat enlarged, and with a tuft of long hairs: Caseya. 15. Sixth legs strongly crassate: Zygonopus. 16. Seventh legs with coxa greatly enlarged, bearing a conic process and tufts of hairs: Caseya. 17. Coxe of seventh legs with a large tuberculate bunch on the posterior side: Conotyla (figs. 70 and 73). 18. Fourth joint of seventh leg with a proximally directed, apically quadridentate process: Conotyla fischeri (figs. 70 and fae). : 19. Tenth and eleventh legs with the cox perforate: Cleido- gona, Pseudotremia, Conotyla. Sometimes a shapeless mass of membrane or hardened secretion projects from the aperture ; perhaps this is what is described by Latzel as a wart-like process in Kuropean Chordeumide. 20. Coxe of tenth male leg greatly enlarged and with a distal aperture: Caseya, Underwoodia (figs. 185, 210, 211). In Ca- The Craspedosomatidze of North America. 21 seya there is a rounded projection from the rim of the opening, on the posterior side. 21. Coxee of eleventh leg with a large conic process: Pseudo- tremia, Cleidogona. In Pseudotremia the process projects from near the base of the coxa, in Cleidogona from the middle or above. 22. Eleventh and twelfth legs with coxa prominent, tuberculate : Conotyla. 23. EHleventh legs with third joint proximally produced into a large, somewhat curved process: Conotyla. 24, Kleventh and twelfth, and probably the succeeding legs, tu- berculate on the third and fourth joints: Caseya. 25. Pedigerous lamina of twelfth legs with a large conic pro- cess directed cephalad: Cleidogona Conotyla, Pseudotremia. In addition there should be noted an aperture near the distal end of the second joint of the ninth legs of Cleidogona In- side the joint may be traced a duct or gland running nearly its whole length. In one mounted specimen this is filled with air and shows very clearly, also very numerous minute tubes opening into it. The opening is on the ventral face of the joint, under the base of the third joint, which is flexed upon the second. In the specimen mentioned an irregular mass, probably a secretion har- dened by alcohol, lies in the aperture. CHARACTERS OF THE FAMILY. As nothing purporting to be a complete description of the present family has ever appeared in English, we offer the follow- ing attempt at supplying the deficiency, although future study will probably necessitate amendments. Family CRASPEDOSOMATID& Gray. Todd’s Cyel. III., p. 546 (1842). Chordeumidz, C. L. Koch, and many recent authors. Lysiopetalide (pro parte majore) of Cope, Ryder and Packard. Body moderately elongate or slender, depressed, convex or cylindric, sub- fusiform, capable of being spirally coiled. Head larger and broader than the first segment, which fits into a concavity of the head instead of covering the hind portion of it as in Iulide. Eyes usually well-developed, of numerous (10-30) ocelli arranged in defi- nite patches; entirely wanting in certain cave forms. 22 The Craspedosomatide of North America. Antennz remote at base, generally elongate, third and fifth joints longest, eighth joint with four olfactory cones. Mandibles with 8-12 pectinate lamelle, a molar tooth, a dentate lamella, and a masticatory plate. The stipe has a distinct cardo; exposed surface of stipe (buccal area) very large and prominent, convex, not areate. Gnathochilarium with stipes separate, cardo small; in front the two coni- ferous processes common to Chilognaths. Mentum entire, trapeziform, large. Promentum evident, triangular, included between the bases of the lingual laminze, or nearly obsolete. Lingual laminz rather long, distinct, anteriorly with or without a denticu- late lobe, posteriorly separated by the promentum. Median lobe well-developed, with a longer or shorter usually tridentate process on each side. First segment slightly longer, but otherwise smaller than the second. Segments laterally strongly, moderately or not all carinate; the dorsal face of each provided with six bristles, sometimes rudimentary and very minute, more or less arranged in a transverse row; each bristle usually located upon a smaller or larger tubercle; surface otherwise smooth or roughened with tuber- cles not setigerous. Repugnatorial pores wanting. Pedigerous laminee all free; pleura completely coalesced with scuta. First, second, fourth and antepenultimate segments each bearing one pair of legs, the third and last two footless. Anal segment obtuse or broadly truncate, with two pupille at apex, each ending in a long, slender bristle. Legs seven-jointed, generally long, the third, fourth and last joints longest. In males any of the legs of the first eight seements are subject to more or less modification. Genital opening of males in the coxee of the second pair of legs, as in Poly- desmidee. Number of segments, 26, 28, or 30, in adults; in young 28, 26, 23, 19, 15, 12, younger stages unknown. Distribution: Europe, North America, Northern Asia and Northern Africa. The scarcity of individuals of this family, the small size of the animals, and the fact that few localities outside of Hurope and North America have been thoroughly searched, leave it entirely probable that the above distribution will be extended to the mountain regions of Central and South America and Asia. One species is known from the mountains of Mexico. It is a signifi- cant fact that not a single form has been reported from the tropi- cal regions, and the writers are confidant, after repeated and care- The Craspedosomatide of North America. 23 ful searches, that the family is not represented in Liberia and the neighboring Huropean colonies of the west coast of Africa.* The above is substantially the same characterization of this fam- ily as that given by Latzel, with a few deviations, two of which are noteworthy. The first is that we credit all Craspedosomatide with six bristles to a segment, and the other that we give the number of segments as sometimes 26 and 28, changes which we will later on attempt to justify. The following additional description will apply to all the American species known to us and included in this paper. It has been our intention to omit from it no char- acter common to all the species, no matter how unimportant any might seem to be, and for the sake of brevity, characters given here will not be repeated in generic and specific descriptions. We consider it probable that most of the statements will be found true, except where noted, for all Craspedosomatide, but as many of them have to former writers seemed too unimportant to be included in family descriptions, and others have not been previ- ously recorded at all, it seemed the part cf caution not to com- bine them with the preceding description made to accommodate the Huropean forms, and modified only enough to admit the American. ji Body moderately elongate, about ten times as long as its greatest transverse diameter; posteriorly laterally compressed (except Branneria), giving an oval cross-section with dorso-ventral diameter greatest. Vertex smooth, prominent, broadly and sub-angulately emarginate poster-~ iorly, sparsely hirsute with hairs of moderate length; a short, fine, median sulcus and suture on the posterior portion ending at the point of greatest elevation. Clypeus not distinct from the vertex by an apparent suture,f rather flat; lower part more hirsute, and with an elevated transverse ridge just above the labrum. Labrum rather long, somewhat decurved, as least as broad as the lower part of the clypeus; corners broadly rounded, the emargination rather shallow. There are two transverse rows of setigerous punctations as is usual in Iulide, the upper row containing four and the lower ten punctations. ~The lateral bristles of the upper row are farther from the median than the latter are from each other; lower row interrupted behind the emargination. * After the above was written Mr. Pocock published his new genus Heter- ochordeuma from the mountains of Burmah, and we became acquainted with the description of a New Zealand species of the family, Craspedosoma trisetosum Hutton (Ann. & Mag. Nat. Hist. Ser. 4, Vol. xx., p. 116, Aug. 1887. { Differing in this from most Inlidz and Polydesmide. 24 The Craspedosomatide of North America. Antenne filiform or sub-clavate, moderately pilose, the hairs increasing in length and number on the distal joints. Seventh joint of antennz with a conic-mamillate sense-organ tipped with a long fine hair. Mandibulary stipe with the exposed surface smooth, more or less hirsute with short hairs. Hypostoma apparently not a part of the gnathochilarium, in the sense of having any intimate connection with that structure. In all the species ex- amined it appears as a chitinized ridge around the ventral side of the slender neck of the animal.* The stipes of the gnathochilarium are produced posteriorly far beyond the menturn and embrace the sides of the neck, which lies in the sinus thus formed behind (above) the mentum. First segment semi-circular to broadly reniform in front; nearly straight behind, except for a broad, shallow emargination in the middle; anterior mar- gin and lateral angles with a fine raised edge; three setze on each side; sur- face smooth. Subsequent segment: with three sete on each side, one close to the pos- terior angle of the lateral carina, the second slightly farther from the anterior angle, the third about midway from the carina to the median line. On pos- terior segments the arrangement tends toward a straight transverse line, and the sete are longer than on anterior segments. Beginning at the middle of the first segment and ending on the penultimate segment is a fine longitudinal sulcus, or rather a pair of sulci with a very fine raised line between (not ap- parent in Branneria). The surface of the segments, when not otherwise roughened, is finely reticulate, the pattern of the reticulation varying on dif- ferent species and different parts of the body. When carinz and tubercles are present the exo-skeleton is scarcely thickened, the body cavity extending — out into all prominences. Supplementary margin not evident. Anal segment without median furrow, truncate behind or with a broad shallow emargination; broadly sinuate on the sides. On this segment there are eight setigerous tubercles, two located near the middle of the dorsal sur- face of the segment, the other six near the posterior margin, one on each side by the sinuation, one at each corner of the emargination, and two near the median line, these last with thickened, conic or papilliform bases. Anal valves not strongly convex, more prominent above the middle, each with three setze close to the margin. Preanal scale semi-elliptical, broader than long, proved truncate posteri- orly, with two long bristles directed backward. Pedigerous laminze medianly produced into a conic process which lies be- tween the approximated coxee, and has its anterior face exposed. This ex- * Judging from the present family it would not be an antecedently improb- able theory to regard the hypostoma as the ventral part of the first segment. In that case it would not be necessary to consider the third segment footless, but to suppose that the ventral plates of the second and third segments have been crowded somewhat ahead. This also accords with the opinion of Heathcote, the result of a study of the embryology of Iulus. The Craspedosomatide of North America. 25 posed face may be smooth or roughened, plane or with a longitudinal carina. On the 12th legs of males of some species the apex projects antero-ventrally as a large conic process. First two pairs of legs 6-jointed, the others 7- pened, by the intercalation of a very short joint just beyond the coxa. As the species here described have usually been placed under the Lysiopetalide by American students of this group, it may not be superfluous to notice a few considerations regarding the systematic importance of the characters on which this family is based. The Family Chordeumidz was erected in 1847 by C. L. Koch, his entire characterization being: “ Der Korper standhaft mit 30 Ringen,” and this would be sufficient, as far as known, to distin- guish the European species among Chilognatha. Mature individ- uals of certain small species of Lulide sometimes occur with as low as 30 segments, but in no Iulus is the number of segments con- stant. We have, however, in America at least four species of Craspedosomatide with less than 30 segments in the mature con- dition, a fact which might seem to militate against the validity of the family. The number of segments, however, though appearing to be a character of considerable value on account of its supposed con- stancy, is by no’ means the most important of the numerous differences between this and other families. The more import- ant distinctions have been neglected entirely or passed with a mere mention because of the easy statement of which the above apparently sufficient character was capable. In many respects the Chordeumide are evidently the highest of the helminthomor- phous Diplopoda, if not of the whole group. In the first place, the head is proportionally much larger than in any other diplopod family. Instead of being enclosed or cov- ered by the first segment, this last structure forms a sort of neck, fitting into the posterior concavity of the head, and allowing a much freer motion for that member than is possible for other Diplopoda. All the organs connected with the head are in a comparatively high state of development. The eyes, antenne and mandibles are all capable of more effective service than the cor- responding structures of other families. The legs are proportionally longer and the animals capable of faster locomotion. This fact is correlated with the absence of re- 26 The Craspedosomatidx of North America. pugnatorial pores as a means of defense. There is no reason for supposing that the members of this family have or ever had any thing like repugnatoral pores, notwithstanding such statements as “Annuli with two pores on each side of the median line.— Pseudotremia,”* and the characterization found in some of the more careful European works ‘“ Repugnatorial pores obso- lete,” or “ repugnatorial pores evanescent.” In the one case the the sockets of the lateral setze have been taken for pores, while in the other there has been an unwillingness to say “‘ pores want- ing,” on account of their constant presence in other families. The six setigerous tubercles of each segment are perhaps the most distinctive family character. In some species the setz or tubercles or both are microscopic and rudimentary, but this only shows the tenacity of the character, as in no other recent family are there similar bristles. In common with the Lysiopetalide the pedigerous laminz are all distinct from the otherwise complete segmental rings. It seems to us that the combination of these last three charac- ters, want of repugnatorial pores, six setz or spines, and the free pedal lamine is sufficient ground for the opinion that the Cras- pedosomatide have of all living Diplopoda the greatest resem- blance to the carboniferous group Archipolypoda. . That the relationship is very close we do not contend, but merely that the similarities are greater than in other recent forms and are not merely apparent but real. ; The spines of existing Chordeumide are insignificant in size when compared with those of some of the fossil genera, such as Acantherpestes, but are the same in number, arrangement and method of attachment to the segments, 7. e., they stand in socket- like bases. Moreover there were other carboniferous forms which had bristles proportionally not much, if any, larger than those of Trichopetalum and Scoterpes, and of the same shape. Other minor characters reinforce the above view, such as the large size of the head, prominent eyes, fusiform, somewhat flat- tened body and long legs. That Chordeumidz were probably more abundant in former geologic periods is seen from the fact that a considerable number * Dr. Cope informed me recently that this statement was the result of acci- dent by which the words ‘‘Spirostrephon’’ and ‘‘ Pseudotremia ’’ were substi- tuted for each other. [O. F. C.] The Craspedosomatide of North America. 27 of species have been described from the Baltic amber. They are at present probably among the least numerous as far as individ- uals of each species are concerned. North America is perhaps to be looked upon as the headquarters of the family, on account of the comparatively large number of generic types, though the number of new forms yet to be discovered in Europe is probably very great. If the Craspedosomatidee dre the highest, in certain senses at least, and at once the most primitive of recent Diplopoda, it fol- lows that the other families are to be looked upon as comparatively degraded, even if more complex, as in the addition of the repug- natorial apparatus. GENERIC CLASSIFICATION. The more recent European writers have seemed inclined to in- clude all the previously described American genera, except Pseudotremia, under the Huropean genera Oraspedosoma and Chordeuma. Pseudotremia was kept distinct mainly on account of the misapprehension that it had no dorsal sete. From defer- ence to the usually more thorough methods of the European in- vestigators we began our study with somewhat of an expectation of the probable correctness of their view, which we still think was more or less justified by the incompleteness of American de- scriptions. We were soon convinced, however, that among the American forms are natural and compact groups of species merit- ing generic recognition. Between the species of such groups the characters of the antenne, eyes, body-segments, gnathochilarium, legs and genitalia agree in indicating close affinities. Especially valuable, by reason of their constancy and ease of expression, are the characters of the ninth* legs of the males, and differences in these have always been reinforced by those drawn from other parts of the body. That these secondary sexual characters have not had their importance generally recognized in classification is no reason why they should not now be made available, and * These have been referred to by Packard and others as the eighth legs, while Latzel considers them a part of the genitalia and does not count them. We believe it will be found more convenient to think of the eighth legs as re- placed by the genitalia, and thus keep the numbers of legs and segments uni- form in the sexes. Oe” ae a Bais et rue 28 The Craspedosomatidx of North America. we helieve they are worthy of being put forward as the most satisfactory yet suggested. Synopsis of Genera. INVES: PLCSOMb sche. soacescadesnedenegeideescesiicsenceeadesnses ves 4 cateste, eee ee A : WATE Oe again en tea iscrte eel ssomaioe seticeeeeeoner eects Ssislee « oles sleet Cc B \ Segments 26, with numerous dorsal carinee.................... Branneria QB OL BOs accnes claws as See chbadesseisiclamansshiecieve sees esac Cee ee eee D C ( Sixth male legs crassate, the ninth unarmed.................... Zygonopus r normal, claw of ninth large..............:020060 Scoterpes D { Ninth male legs 2-jointed, without claw...........-:6..-:+2-seeecseeeeeeeeecneees E ” 4-5-joimted, with a @law.......-.<-..c.+4- 24. Fig. 6.—Ninth legs of male with lamella, < 24. U.S. N. M. No. 420. Fig. 7.—Eleventh legs of male, X24. U.S. N. M. No. 436. Pseudotremia carterensis. Fig. 8.—Ninth legs of male, posterior view. Fig. 9.—Lamella embraced between the ninth legs of male, ><35. Fig. 10.—Genitalia of male, 50. Pseudotremia cavernarum. Fig. 11.—Body, dorsal view. The Craspedosomatidxe of North America. 95 Scoterpes copei. Fig. 12.—Genitalia of male, after Packard. Fig. 13.—Same, less magnified; also ninth legs, after Packard. Zygonopus whitei. Fig. 14.—Antenna, 27. Fig. 15.—First leg of male, X 50. Fig. 16.—Second leg of male, > 50. PLATE IT. Zygonopus whitei. Fig. 17.—Fourth legs of male, 50. Fig. 18.—Sixth legs of male, X 50. Fig. 19.—Twelfth leg of male, 50. Fig. 20.—Genitalia of male, anterior face. Fig. 21.—Same, posterior face, also ninth legs. Trichopetalum album. Fig. 22.—Antenne of male, 105. Fig. 23.—First leg of male, < 105. Fig. 23a.—Second leg of male, < 105. Fig. 24.—Third leg of male, 105. Fig. 25.—Fourth leg of male, X 105. Fig. 26.—Fifth leg of male, >< 105. Fig. 27.—Seventh leg of male, < 105. Fig. 28.—Tenth leg of male, X 105. Fig. 29.—Normal leg of male, < 160. Fig. 45.—Eye. Trichopetalum cornutum. Figs. 46, 47 ( 294), 48 (> 333).—Apices of male genitalia, different specimens and views. Fig. 49.—Male genitalium, lateral view. 96 The Craspedosomatide of North America. Trichopetalum flavidum. Fig. 50.—Eye. Trichopetalum uncum. Fig. 51.—Genitalia of male, anterior face, 169. Trichopetalum lunatum. Fig. 52.—Antenna, after Harger. Fig. 53.—Hye, after Harger. Fig. 54.—Male genitalia, after Harger. PLATE IV. Conotyla fischeri. Fig. 55.—Head and first three segments, dorsal aspect. Fig. 56.—Same, lateral aspect. Fig. 57.—Last four segments, lateral aspect. Fig. 58.—Labrum. Fig. 59.—Distal portion of half of gnathochilarium. Fig. 60.—Last four segments, ventral view. Fig. 61.—Two distal joints of antenna, >< 50. Fig. 62.—Distal portion of half of gnathochilarium, dorsal face. Fig. 63.—Gnathochilarium. Fig. 64.—Antenna, X 25. Fig. 65.—First leg of male, >< 25. Fig. 66.—Second leg of male, >< 25. Fig. 67.—Third leg of male, >< 25. Fig. 68.—Fourth leg of male, posterior view, X 25. Fig. 69.—Fifth leg of male, posterior view, < 25. Fig. 70.—Seventh leg of male, anterior view, >< 25. Fig. 71.—Process of the fourth joint of the seventh leg, more magnified. Fig. 72.—Male genitalia, anterior view. Fig. 73.—Ventral portion of segments 5-8, male genitalia, and basal joints of legs, lateral view. Fig. 74.—Male genitalia, lateral view. Fig. 75.—Anterior pair of male genitalia, anterior view. PLATE VY. Conotyla fischeri. Fig. 76.—Tenth pair of legs of male, X 25. Fig. 77.—Eleventh pair of legs of male, > 25. Fig. 78.—Twelfth pair of legs of male, x 37. Conotyla bollmani. Fig. 79.—Male gentalia, anterior view, U. S. N. M. No. 419. Fig. 80.—Same, lateral view. Fig. 81.—Right eye. Fig. 82.—Left eye. Fig. 83.—Antenna, 25. Fig. eee a xe an hs ’ The Craspedosomatide of North America. . 84.—Head and first eight segments. . 85.—Last six segments. . 86.—First leg of male, X 45. U.S. N. M. No. 443. . 87.—Second leg of male, >< 28. . 88.—Third leg of male, posterior view. g. 89.—Fourth leg of male, posterior view, 25. . 90.—_Seventh leg of male, anterior view. . 91.—Tenth leg of male, posterior view, >< 25. . 92.—Eleventh leg of male, posterior view, < 25. r, 93.—Normal leg of male, anterior view. . 94.—Longitudinal section of spine, drawn from C. fischeri. PLATE VI. Conotyla atrolineata. ». 95.—Antenna, < 57. . 96.—Male genitalium of posterior pair, > 127. . 97.—Male genitalium of anterior pair, < 127. . 98.— Ninth leg of male, X 16. . 99.—Hye, drawn from Winona specimen. . 100.—Eye, drawn from Glacier, B. C., specimen. Conotyla wyandotte. 97 101.—Eye. The photo-engravers omitted the number on the plate. The figure is above 100, at the right-hand margin of the plate. Conotyla leibergi. . 102.—Antenna. . 103.—Gnathochilarium. , 104.—Eye. Conotyla glomerata. . 104a.—Antenna and eye, after Harger. Cleidogona mexicana. Figures copied from Saussure and Humbert. . 105.—Gnathochilarium. 106.—Segment, ventral view. . 107.— Antenna. . 108.—Posterior part of body, lateral view. . 109.—Same, dorsal view. Cleidogona major. . 110.—First pair of legs of male, < 16. . 111.—Second pair of legs of male, < 16. 112.—Third pair of legs of male, « 16. . 113.—Fourth pair of legs of male, < 16. g. 114.—Fifth pair of legs of male, * 16. ig. 115.—Sixth pair of legs of male, 16. ANNALS N. Y. AcAD. Sct., IX, Nov., 1895.—7 98 Fig. Fig. Fig. The Craspedosomatidz of North America — x 116.—Seventh pair of legs of male, >< 16. 117.—Ninth pair of legs of male, < 16. 118.—Tenth pair of legs of male, < 16. PLATE VII. Cleidogona major concluded. . 119.—Eleventh pair of legs of male, >< 16. . 120.—Twelfth pair of legs of male, < 16.. . 121.—Thirteenth pair of legs of male, * 16. . 122.—Twentieth pair of legs of male, 16. . 123.—Fiftieth (last) pair of legs of male, > 16. . 124.-—Apical joints of second leg, 143. . 125.—Antenna, < 31. . 126.—Apex of sixth joint of second leg, 160. . 127.—Ninth leg of male. . 128.—Male genitalia lateral view, < 46. . 129.—Apices of same, apical view, < 46. . 130.—Male genitalia, posterior view < 46. . 131.—Legs 7-12, drawn in situ. g. 132.—Gnathochilarium. . 133.—Head, lateral view. . 134.—Head and six segments, dorsal view. . 135.—Last five segments, lateral view. . 136.—Same, dorsal view. . 137.—Pre-anal scale. PLATE VIII. Cleidogona czsioannulata. . 138.—Genitalia of male, lateral view. r, 139.—Same, dorsal (anterior view ). . 140.—Ninth leg of male. . 141.—Eleventh leg of male. . 142.—Twelfth leg of male. Fig. 143.—Antenna. The above six figures were drawn from specimens collected near the Catho- lic University, Washington, D. C. Fig. Fig. Fig. Fig. Fig. 144.—Last joint of ninth male leg. 145.—Ninth legs, X 25. 146.— Anterior aspect of genitalia. 147.—Lateral view of genitalia. 148.—Posterior view of genitalia. Figures 144-148 were drawn from National Museum material, with no record of locality. Fig. 149.—Ninth leg. Fig. 150.—Genitalia; this and the preceding figure after McNeill. His material was collected in Monroe County, Indiana. -” — es Fig. . 181.—Second legs of male, posterior view, 50. Fig. Fig. Fig. ig. 172.—Antenna. . 173.—Gnathochilarium, >< 105. . 174.—Genitalia of male, anterior view, with ninth legs. . 175.—Apical joints of ninth leg of male. g. 176.—Last two segments, lateral view. The Craspedosomatide of North America. 99 Cleidogona fustis. . 151.—Male genitalia, anterior view. . 152.—Same, lateral view. . 153.—Same, drawn from another specimen and at a different angle. . 154.—First leg of male. . 155.—Second leg of male. . 156.—Seventh leg of male. . 157.—Tenth leg of male. . 158.—Eleventh leg of male. PLATE IX. Cleidogona forceps. . 159.—Male genitalia, lateral view. . 160.—Same, anterior view. . 161.—Same, posterior view. . 162.—Ninth leg of male, < 30. . 163.—Apical portion of same, >< 105. Cleidogona laminata. . 164.—Genitalia and legs 9-12, drawn in situ. . 165.—Male genitalia, anterior view. . 166.—Same, posterior view. . 167.—Ninth leg of male, posterior view. . 168.—Same, anterior view. . 169.—Antenna, 31. . 170.—Tenth legs of male. . 171.—Eleventh legs of male. Bactropus conifer. PLATE X. Underwoodia iuloides. . 177.—Kye and part of antennal socket. — . 178.—Antenna, < 80. . 179.—Second pair of legs of female. Underwoodia polygama. 180.—First legs of male, << 50. 182.—Third legs of male, posterior view, < 50. 183.—Fourth legs of male, 50. 184.—Fifth legs of male, 50. 100 The Craspedosomatide of North America. Fig. 185.—Eleventh legs of male, 45. Fig. 186.—Male genitalia and ninth leg, posterior view. Fig. 187.—Same, anterior view. Fig. 188.—Gnathochilarium. Fig. 189.—Antenna, X 57. Fig. 190.—Distal joints of antenna. PLATE XI. Caseya heteropus. Fig. 191.—Head and first six segments, lateral view, >< 10. Fig. 192.—Head, anterior view, >< 25. Fig. 193.—Eye, antennal socket, margin of cephalic plate and post-antennal organ, the last indicated by the small ring immediately below the ocelli. Fig. 194.—Labrum. Fig. 195.—Gnathochilarium. Fig. 196.—Lingual lobe, lingual lamina with conic sense organs, and ~ tridentate styliform process, >< 105. 4 Fig. 197.—Antenna, < 25. : Fig. 198.—First leg of male; the specimen was injured, >< 25. Fig. 199.—Second legs of male, posterior view, < 25. . Fig. 200.—Proximal portion of same, anterior view, 105. | Fig. 201.—Third legs of male, posterior view, X 25. Fig. 202.—Proximal portions of same, anterior view, X 25. Fig. 203.—Same, < 105. Fig. 204.—Fourth legs of male, posterior view, >< 25. Fig. 205.—Fifth legs of male, anterior view, X 25. Fig. 206.—Sixth legs of male, anterior view, X 25. Fig. 207.—Seventh legs of male, anterior view, < 25. Fig. 208.—Proximal joints of same, posterior view, < 25. PLATE XII. Caseya heteropus. Fig. 209.—Portion of basal joint of seventh leg of male, anterior view, X Fig. 210.—Basal joints of tenth leg of male, anterior view. ; Fig. 211.—Same legs, posterior view, X 25. ‘ Fig. 212.—Eleventh leg of male, anterior view. Fig. 213.—Twelfth leg of male, posterior view. Fig. 214.—Normal leg of male, anterior, « 31. Fig. 215.—Male genitalia and ninth legs, ventral (anterior) view, drawn in situ. Fig. 216.—Ventral portion of segments 5-8, legs 7-10, and male genitalia, lateral view, drawn in situ, > 25. ; Fig. 217.—Male genitalium, median view. The small unshaded part near the middle is open to the other side. Fig. 218.—Ninth legs of male, anterior view, < 40. Fig. 219.—Ninth legs of male, posterior view, 40. ee eee ee ee ' II.—On the Reduction of Stellar Photographs, with Special Ref- erence to the Astro-Photographic Catalogue Plates. BY HAROLD JACOBY. Read October 14, 1895. The following paper has been prepared at the request of Dr. Gill, who asked me to put together the formule which seemed to me best for the reduction of the Astrophotographic catalogue plates. In so doing I have drawn freely upon the work of others, particularly that of Rambaut, Turner and Henry. f have also had very valuable help from Mr. Finlay, Chief Assistant at the Cape Observatory, especially in the preparation of the tables. The methods here given are suitable for the reduction of any photo- graphic plates, whether taken under the programme of the Perma- nent Committee or not. The only limitations are that the centre of the plate shall be more than 15° from the pole, and the extent of the plate not more than 2° square. The fundamental problem with which we have to deal is the transformation of rectangular co-ordinates measured on the plate into the corresponding differences of right ascension and declina- tion upon the sky. For the present I shall assume that the plate is correctly oriented, and that the scale-value is known. We shall then find the problem under consideration involves only five quantities. If we let: a, 0, be the right ascension and declination of the center of the plate, a', o', be the right ascension and declination of a star, x,y, be the rectangular co-ordinates of the star’s image on the plate, x being positive both in the Northern and South- ern hemispheres when the star’s right ascension is greater than that of the centre of the plate, and y being positive when the star - is nearer than the centre of the plate to the North Pole. Now put: Aa=a—a, Ad=d!—od, then the five quantities involved are: Cay NANO NO: ANNALS N. Y. ACAD. Sct., [X, April, 1896.—8 102 Reduction of Stellar Photographs. Some of the writers on this problem have allowed the quantity 0’ to appear in their formule: this may be necessary for plates taken very near the pole, but for all other plates it is not necessary. To.secure the maximum of facility in computation, we require the expansion of Aa and Ad in ascending powers of x and y, in a series whose coeflicients involve 6 only. We also require x and y expanded in ascending powers of Aa and Ad, with the same con- dition as to the coefficients. These considerations lead to the following expansions, in which the unit for «* and ac is the sec- ond of time, and for y and Ad the second of are. The same rule with regard to units applies to all the other formule in the pres- ent paper; so that wherever «# or Aa appear, they are supposed to be expressed in seconds of time, and wherever y or Ad appear, they are in seconds of arc. Similar expansions carried as far as terms of the third order have been given by Ball and Rambaut (Trans. Roy. Irish Acad., Vol. XXX., part IV.) Those given in the present paper were deduced by me from Turner’s rigorous formule (Observatory, XVI., p. 374) and afterwards carefully checked by Mr. Finlay, who very kindly extended Ball and Ram- baut’s work as far as terms of the fifth order for that purpose. They hold good up to within 15° of the pole. Aa=«secd +A, (x sec 5)y A, =tan dsin 1!’ +A, (x sec 0)y? A, = tan 0 sin? 1!’ +A, (a sec 0)3 A,=—4(15)? sin? 1! +A, (a sec 0)8y A,=— tan 0 (15)?sin? 1! +A, (x sec ae A, = tan? 0 sin? 1// ING sec 0)8y Ag—=— 2 tan?d (15)? sin‘ 1 +A, (@ see ee A,=4(15)4 sin‘ 1// 4A, (x sec 6) y* A, = tan‘ dsint 1// Ad =y+D,(asec 6)? D,=—tsin 20 (15)? sin 1// +D,(asecd)?2y Dy==—4(15)2sin? 1! + D5 y? D;=—4sin? 1! + D,(a sec 0)2y? D,=— ¥sin® 6 tan 0 (15)? sin’ 1” +D;(aseeo)4 JD}, =3 (3 sin 0 cos? d+sin3 0 cos 0) (15)4 sin? 1! -- D,(asec 0 )4y Dia 8 3 (15)4 sint 1! 4D. (asec 0 )2y3 i (1 —tan?d) (15)?sin‘ 1!’ + Dey Dz = + sini 1!’ * The use of the time-unit for the linear quantity xv is to be understood as meaning that the unit for x is the distance corresponding to a second of time at the centre of the plate. This applies also to the unit for y, mutatis mutandis. Sas Astro-Photographic Catalogue Plates. 103 xsecd =Aa+A,’AaAd A,! =—tandsin 1! +A,'Ac? = -A,! = 4 (1—3 sin? 0) (15)? sin? 1!’ +A,’ AaAd A,’ = 4 (—5 sind cosd-+tan 0 sin? d)(15)?sin3 1! +A,’AaAd3 A,’ =—4F tan d sin3 1! +A,/AasAd2 A,! =4sin? 6 (15)2 sin‘ 1! + A,/Aa5 A,’ =735( 16 cos! 6 —13 sin? 0 cos? 0-+sin* 0) (15) 4sin‘ 1!’ y=Ad-+ D,!Aa? D,' = sin 20 (15)? sin 1’ ++ D,'Aa?Ad D,! =} cos 26 (15)? sin? 1” + D,!A63 D,! =k sin? r!! + D,!Aa?Ad2 D,! =—}sin 206 (15)? sin3 1// -+-D;/Aat D;| = wz(5 sin 6 cos? 0 —sin*d cos 6 (15 )4sin3 1// + D,! Aa?A03 D,' =% cos 2 0 (15)? sint 1// + D,!AatAd D,;| = 3 (5 cost 0—12 sin? 0 cos? d+ sint J)(15)4sin 1// + D,/ A065 D,! = #5 sin! 1! Many of the terms in these expansions are generally inappreci- able, but it is not necessary to enter into this point here, as it is better to consider it when constructing tables for the separate degrees of 0. It will be noticed that x only appears multiplied by seco. This is a great advantage, for we can avoid the use of a“ altogether, and turn our measured co-ordinates at once into asec do, by means of a separate scale-value table constructed for each degree of 0. It remains to show how to correct the observations for refrac- tion, and to determine the scale-value and orientation from the known stars on the plate. The aberration need not necessarily be considered when the scale-value is thus determined from known stars. . Let us now indicate by XY, and Y,,, the actual co-ordinates measured on the plate. They will be expressed partly in divi- sions of the réseau, and partly in revolutions of the micrometer screw. We shall assume that the scale-value is known very nearly, both for the réseau and screw. We can then prepare separate scale-value tables for the réseau and screw, by means of which we can at once turn X,, and Y,,, into Xsecd and Y, expressed respectively in seconds of time and arc; and these tables can be made to include the effects of errors of the réseau and screw. These values of Xsecd and Y will then be very. near their true values, which we have called wsecd and y. The. corrections which must be added to them are: I. Correction for refraction: . 104 Reduction of Stellar Phulographs. M, Xsec d+ N, Y, for X sec 0, M, Xsecd-+ N, ¥Y, for Y, where M,, M,, N,, N,, are computed by the following formule : sin n sin NV’ —eos.6 cos (# — a) sin n cos N=sin @ G =cot (d+ WN) H =tan (#—a) sin N cosec (0 + NV) Mz=6 (1+ H? — G tan 0) sin 1” N, =75 6 (GH sec 6 — H tan 0 sec 0) sin 1! M, =15 8 (G Hos 0+ Hsin 0) sin 1! Ny, = 8 (1+ G2) sin 1! In these formule (# — a) is the hour-angle, and / the constant of refraction. The coefficients are so arranged that the correc- tion for x sec 6 will come out in seconds of time, and that for Y in seconds of arc, if Xsecd and Y are themselves expressed in seconds of time and arc respectively. When the hour-angle does not exceed about one hour, the above formule may advantageously be replaced by the following, especially if it is intended to tabulate the coefficients I, etc., for a given declination, with the hour-angle as argument. If we put: 0, and suppose ¢ to be expressed in minutes of time, and compute : tan 1 = 3 tan ¢ [6.4531—10] w, = 8 cos ¢ sec (g—0) sec 0 sin 1! [1.1308—10] W, = + B sin 2 sec? (¢—<0) sec 0 cos (+0) cosecl sin? 1™ sin 1! 2.9169—10 Ws = z's 8. sin (¢—2 0) cos ¢ sec? 0 sec? (¢—0) sin 1™ sin 1// 9 as 3 [4.9681—10 ] w, = 9 2 sin 2:6 sec? (¢—d) sin 1™sin 1! [6.4532—I0] w,—/3 sec? (d—<) sin 1! [6.4637—10 ] Ws = 7s Ww, tan (¢—0) sin 1™ where the constant: logarithmic coefficients at the left-hand side are computed: from the! Besselian refraction table, using a con- stant value of log #; which may be done safely, when the zenith distance does not exceed 45°. They include the effect of the dif- ference between the photographic and visual refraction constants, and will therefore only need to be increased by the usual loga- rithm depending on the meteorological instruments. We then have : a Astro-Photographic Catalogue Plates. 105 M, = ww, ? N, = Wt M, =w,t Ny = Wb, from which a table of W/,, etc., may readily be written down with the help of Crelle’s tables. The details of the demonstration of these refraction formule will be found in the Astronomical Journal (Vol. XV., No. 14). Il. Correction for scale-value, orientation, and error of centre of the plate. px sec 0+ +; r sec 0 Y+7;k sec 4, for X sec 6 —157rcos 0 X sec 0+pY-+ e, Lae 4 The values of 7, p,andc are found from the known stars on the plate. We compute from the known right ascensions and declinations by means of tables formed from the expansions given above, the values of xsecd and y; we then have from every known star a pair of equations of the form T5 Nz cos 0-15 pX+r¥+k = 0 i (1) Ny +p Y— 15 rX-+e = (1) in which n, and 7, are computed by the following formule : Nz = (X—ax) sec 0+ Mz X sec 0+ Nz Y \ (2) Ny, = Y—-y+M, X sec 0+ N, Y M,, etc., being as before the refraction coefficients. These equations can be solved by least squares or otherwise, and make known the values of p, 7, ete. If the solutioa be carried out by least squares, it is by no means necessary to form and solve the normal equations in the usual way. For the equations possess the following peculiarity : Hach coefficient of r in the equations derived from the right _ ascensions appears as the coefficient of p in the corresponding equation derived from the declination. And each coefficient of p in the right ascension equations appears in the corresponding declination equation, with its sign changed, as the coefficient of 7. On account of this peculiarity the rigorous least square solu- tion can be effected in the following very simple way: 106 Reduction of Stellar Photographs. Let us, for brevity, indicate the coeflicients of p and 7 in the right ascension equations by z and p. Let us also represent by v the number of stars, so that there will be » right ascension equa- tions, and as many declination equations. The general form of the equations will then be: From the right ascensions : cp + pr+tk-+n!, = where, for brevity, we have written 7,’ for 157, cos 0. From the declinations : pp—7r+e+n, =0 If we now indicate by square brackets the summation of vy quan- tities, the rigorous least square solution of the above 2y equa- tions is given by the following simple system of formule: A=[r7] == Vv D= [pp|—2E E= [on!,|—el inl [n’s] Vv == js [p] [ry] = —[rny] + Seal C+C’ ena: weight of p=A-+ D =o weight of r=A-+D eNO - fs feet sae ise Gen ileal ——— { [7] p+Le] r-+[n's] |, weight of k—v— "Ee ELS Anes) —l|7r|r | ig = ja leiedalels C=—-— | [e] p —[7] r+ [ny] p> weight of c=» ea By the aid of these formule, the rigorous least square solution can be made in about half an hour, including the determination of the weights. _The total corrections to be added to the co-ordinates of the un- known stars will then be: ‘ (p+) Xseed+(7; rsec 0+Nz) V+; k sec 0, for X sec 0 i 3 (—15 r cos 6+ M,)X see 0+-( p+N,) ¥+e, ae i @) which are very readily computed with Crelle’s tables. After this to- ~ Astro-Photographic Catalogue Plates. 107 tal correction has been applied, we have only to turn the result- ing xsecd into Aa, and y into Ad, by means of the tables con structed with the expansions given above. When it is desired to base the determination of the orientation constant r on measures of “ trails,” we can proceed as follows: We can regard the end of the trail simply as the image of a sec- ond star, having the same declination as the first impression of that star. If we calculate n, for each impression of the star, us- ing an approximate value of 0’, or the declination of the star, the values of n, will differ from the truth by a constant only. This constant will of course be the error of the approximate declina- tion we have used for the star, and will be the same for both n,’s. With the two n,’s we get two equations like the second of equa- tions (1). By subtraction of these equations, the above constant will disappear, and we shall have an equation involving r as the only unknown quantity. As an example of the above methods of reduction, I shall take the plate discussed by M. Prosper Henry (Bull. Com. Perm. Tome II., deux™? fase.) This plate was taken at Paris (latitude 48° 50’) 1891, December 2, at an hour-angle of —o*9™, the de- clination of the centre being 24°, and the right ascension 15 4™. | The first step is the preparation of the tables for the reduction of the 24° belt of the astrophotographic catalogue. These tables are appended to the present paper. Table I gives the refraction coefficients M,, etc., the numbers obtained for the auxiliaries be- ing W, == .000225 W, = .00000000212 W3 == .OOOO0000I15 Ws, = .OOOOII2 Ws == .0C0345 Wg — .OOOO0O0OT51 Table II gives the quantities necessary for transforming Aa into «seco, and x seco into Aa, by the aid of the expansions al- ready given. Finally, Table III gives the corresponding quan- tities for Ad and y. In both tables it was found sufficient at de- clination 24° to include terms of the third order. The actual numbers tabulated are as follows: Table II A gives value of A, (x sec 0) & 10°, with argument # sec 0 or (3 6c —A,' Aa SZ 103, zl 66 OG Aa 66 ILB ce (3 A,! A a3 a5 66 Aa a5 Tl C (x3 66 Ay! y? S< 102 (a5 5 y pier Ds 3° ‘t —A, (a sec 4)8 se Bs x sec 0 108 Reduction of Stellar Photographs. where it will be noticed that Table II 4 gives the values of — either of two quantities, because A, and 4,’ differ only in sign. Similarly for Table III we have: Table III A gives value of—D, (asec)? with argument x sec 6 or “e a4 Dit Aa2 (a3 ce Aa cc Ill B (75 ce D,! Aa? ¥ Io? ce ce Aa ee IMU ICOR Toe ve —D, (asecd)? >< 103 with‘ x seco ce Ill D 66 66 ID Aods with 73 Ad or 66 66 D; ys 6c (a y The transformation formule then become pee Aaa sec O+(Tab. 114)” +-(Tab. ILC)" <°°== (Tab. II D) | y eoie eee Ad = y— (Table III 4) — (Table III C)-“ (Table III D) { Y Bostting y negative { Aa positive nsec d= Aa=-(Table I A) ---(Table II B) | 3° For, f Aé positive | Aé negative = Ad+ (Table III 4)+ (Table III B) + (Table III D) In the above formule the upper signs belong to positive values of the arguments and the lower to negative values, as indicated at the end of each formula. The numbers given in the tables are invariably positive. All the multiplications can be effected with Crelle’s tables. I have not thought it worth while to prepare special scale-value tables for the 24° belt, because it would not be possible to make them definitive, in the absence of any data with regard to the errors of the Paris réseau and screw. These errors have been neglected in the present example. The preparation of such tables would, of course, be extremely simple, as they are little more than | mere multiplication tables. I have accordingly altered the units in which M. Henry gives his measured co-ordinates; and at the same time applied the factor 0.995, which is the approximate ratio of the millimetre to the minute of are for the Paris instru- ment. All of this would be done with the special scale-value tables in actual reductions. I thus get for the data of the prob- lem : a | | Astro-Photographic Catalogue Plates. 109 From Meridian observations. From the Plate. Star | Right Ascension (1900.0) Declination X sec 0 W h m s {e) i ut Ss “ il O71) 59 31.38 Bil | BS ails). —267.483 +1517.35 2 Oo 59 59.37 23 56 51.1 —240.496 — I91.70 3 I I 1.05 24) 22.) O57, —178.289 -+1320.37 4 I I 41.71 24 18 22.6 —137.815 + 1093.05 5 I 2 4.61 24 26 21.5 —114.790 ++ 1569.09 6 I 8 52.92 23 55 30.1 — 6.941 — 283.20 oi I 4 14.86 i) > Ales + 15.246 —2671.86 8 TF 4 16.12 Downs Oumn 54V7; + 16.262 — 68.32 9 I 6 57.04 2a One 2.9 177.143 — 5.19 10 eee da, 55-00 24 55 49.6 + 233-493 +3347.08 II I 8 7.14 Bi OS) BR +246.422 +1710.60 From Table I, we find the following values of the refraction coefficients : Mz = -+.000226 Nz = .0000000 M, =—.00010 Ny = -+.000345 The next step towards the determination of p, 7, & and c is the computation of «seco and y from the above values of the stars’ right ascensions and declinations. This is done by the aid of Tables II and III, and the computation is here given in exten- so for the first and last stars : Star. I. II. h m s h m s a! fe) 59 31.38 I 8 7.14 a I 4 0.00 I 4 0.00 Aa — | 268.62 + 247.14 - (Tab. II a) + .882 _ -913 + (Tab. II B) — .026 ++ .020 “sec 0 — 267.764 - 246.247 é! 27 25 18.2 24 28 32.3 Ad + 1518.2 ++ Teena, + (Tab. III A) a 14.62 + 12.3 + (Tab. III B) =. ae .20 ae 19 ++ (Tab. IIt D) -— .03 —+- .04 Chait a 1533-95 lg 1724.90 We'now proceed to the computation of n, and n by means of equations (2). We have: 110 Reduction of Stellar Photographs Star. I Il X sec 0 — 267.483 + 246.422 asec 0 — 267.764 + 246.247 (X—x) sec 0 + .281 + -175 M, Xsecd — .060 4 -056 Nz Y .000 - 000 Nx + .221 + avlatit I5 nz cos 0 — 3.03 “+ 3.16 Y 1517.35 1710.60 y 1533-05 -+-1724.90 —Y — 15.70 — 14.30 4 M, Xseco aa .03 —_— .02 . IN IE =- 52 -+ -59 Ny — 15.15 — 13.73 We now form equations (1), the coefficient 15 X being roughly computed by multiplying Xsec 0 by 15cos0 with Crelle’s tables. We thus get from our two stars the equations: OG) men GOOS Pinta SL 7g ks AO. } Star 1. — 15.15 + 1517p + 36657r +¢=—0 + 316+ 3375p +371 + k= } Star 11. — 13.73 + 1711 p — 33757 +e =0 The quantities p and r are so small that we may neglect 54> part of them; so that it will be quite sufficient to retain the first two figures of their coefficients. In this way we obtain the fol- lowing series of equations, from whose solution p and r will, of course, come out multiplied by 100, because we have dropped two figures from their coefficients : FROM THE RIGHT ASCENSIONS. 1937 pt Is) ke fog ae 2— 33 p— 27r-+ k + 2.60, 0 4 SS ey SE ey yp See SE ss == Ah 0) 7) VSS i Pe SS ee) =O 5 Om pre 167, kh) - osname 6S pet ak Ae O2 ie aO 7 + 2p — 27 r + k + 416 = O Sep — se) SE aa Oy a — ao 9 + 24 p or + k + 1.88 = 0 To + 32 p + 33 r + ko + 3.16 = O p +17 7 [ova ais) == © | Leal + (SS) rs Astro-Photographie Catalogue Plates. TE FROM THE DECLINATIONS. eens Tf lg AS ee OM pein ay ae a pe SiO) De SOK TL cir e WAIADY , =O iain o re en OA emp ey cs SAA 8) 10 eee hie pee Oe Wale eee se TOON 10 5 + 16 p + 16 r + ¢€ — 14.62 = O COMM Ch neater awn TAA. © ia te De ee Pe CN —— a Aaah O Sue eee Deen ee eC AR OC a —— KO 9 Op et ee. TAAG — 0 TOMS we SQN sn 32 Ph ea Cu ISSO) ¢——) "0 Meet (a ep GAN iy CMe UBB ta O The combined solution of all these equations by least squares gives the following values of the unknowns, in which p and r have been multiplied by .or to restore their original units. The sum of the squares of the 22 residuals is 10.3179, so that the mean error of one equation is +0.'’76. p = — .000089, mean error + .cooo81 7 = + .000145, iG ‘¢ + ,000081 c= 2.64, 3 a3 + 0,!24 e= + 14."24, 6c 4 Oo lo4 The total corrections required by the measured co-ordinates of the unknown stars are now found by means of the expressions (3) to be: -++ .000137 Xsecd + .oooo1r Y — 0.193, for X sec 0 —.00209 Xsecd + .000256 Y + 14.!!24, [Mn Having thus arrived at the constants required for the reduction of the plate, we now come to the computation of the places of the unknown stars from their measured co-ordinates. This is of course the most important part of the subject, since the process must be applied a very large number of times for each plate ; while the foregoing computations need only be made for the com- paratively small number of known stars. As an example of this part of the work I take the first star of the above series, treating it now as an unknown star. We have: ———— 112 Reduction of Stellar Photographs. RIGHT ASCENSION. DECLINATION. X sec 6 —267.483 Ve + 1517. 35 -+.000137 Xsecd — .037 | —.00209 X seed == -56 -+.ooo01r Y -—+ .017 | +.000256 Y 4 398 Constant — .193 | Constant +- 14.24 x sec 0 —267.696 y + 1532.54 25 (ip, mt 22). 886i), (Rath: THIeAe) arises + (Tab. IL c)eee — .003 | — (Tab. 111. ¢)-%— as .29 = (Tab. II D) 8034 | == (‘Tae Tite) —.) Skea Aa —268.551 | Ad + 1517.70 Aa —4 98.551 Aod + 25 17.70 h m s | fo) i a“ a (Centre) I 4 0.000 | 6 (Centre) 24 fo) 0.03 a’ (Star) © 59 31.449 | 0! (Star) 24 25 17.70 In the above example considerably more figures have been written down than are really necessary, and all the multiplica- tions have been done with Crelle’s tables. The final place of the star is of course very much more accurate than the place originally obtained from the meridian observations. I now give for comparison the places derived as above for all the stars, together with the discordances from the meridian places taken in the sense “ meridian minus photographic.” The column headed ‘‘H” contains the corresponding residual as obtained by M. Henry. RIGHT ASCENSION. DECLINATION. Merid—Photo. Merid—Photo. | Jae. H. J—H. | Jae. H. |) Jone hm os s S ® o 7 ul “ “ “ I| 059 31.449 | —.069 | —.064 | —.005 ||--24 25 17.70 | +-0.50 |4-0.54 | —0.04 2| 0 59 59-393 | —-023 | —-019 | —.004|| 23 5651.28 | —o.18 |—0.20 | +-0.02 3) I I 1,002; -+.048 | +.052|—.004|} 2422 8. 73 | +0.97 |-+1.02 |—0.05 4, I 141.659) +.051 | +-.054 | —.003 24 18 23.93 | —1.33 |—I.3I |—0.02 5|I 2 4.627 —.O17 | —.014 | —.003 || 24 26 21.20 | +0.30 |+-0.33 |—0.03 61 352.866| +.054| +. 053 | -+.001 || 23 55 30.97 | —0.87 |—0.9I |++0.04 7/1 414.941 | —.081 | —.084 | +.003 || 23 15 41.78 0.22 |+0.20 | +0.02 Ss I 416.068 | +.052 | +.050 | +.002 || 2359 5.82 | —o.12 |—o.16 | +-0.04 9 I 656.967 | +-.073 | +-.067 | |+.006|| 24 0 2.34] +0.56 |+0.52 |-+0.04 IO, I 755.052 |—.052 | —:054 | +.002 || 2455 49.88 | —o.22 —0.19 |—0.03 11 I 8 7.176 | —.036 | —.o40 +.004 || 24 28 32.16| +0.14 “ro. 16 | —0.02 Astro-Photographic Catalogue Plates. 113 The differences in the column J—H, though small, are of a sys- _ tematic character. They are doubtless due in part to a difference between the constants of reduction employed by M. Henry and those which I have used, M. Henry having employed a predeter- mined scale-value whilst I have deduced the correction of the scale-value and orientation from the known stars. But in order to account completely for the discordances, it would be necessary to investigate the differences between M. Henry’s formule and those given in the present paper. Such differences exist, especi- ally in the refraction formule, where M. Henry computes merely the change in the magnitude of the co-ordinates x and y caused by refraction. But refraction not only changes the magnitude of x, but it also removes the x as a whole to a different position on the plate. And the Aa corresponding to x depends not only on the magnitude of x, but also on its position with respect to the centre of the plate. It may be of interest to consider the effect of errors in the assumed right ascension and declination corresponding to the centre of the plate. For this purpose I take up again the expan- sions given in the beginning of this paper, writing them now in a somewhat different form, and introducing the auxiliaries x’ and y’ for brevity. It is sufticient for the present purpose to include terms of the third order. We have, putting x! = (a'—a) cos 0, y!= 0!—d (a) the following : «=a! —tand a! y! + 4 (1—} tan? 0) 2 b y=y' +} tand wo! +4 (1—tan? 6) al? y! +4 y'3J ”) x'—a + tan 0 ay—4 (1+ tan?d) «3 4- tan? 6 ay? f (0) y'=y—z tand 2? —3 y—3 (1+ tan? 0) ay From equations (a) we have, by differentiation with respect to waand 0: dx'=— cos 0 da — tan 0 x! dd, dy'=— do (d) Now differentiating equations (0), and substituting from equations (c) and (d), we get, after slight reductions : dx —— cos0 da+ tan 0 y . cosd da— a2? . cosd da—ay. do f dy = —dé0 —tandx . cosd da—ay . cosdda—y*?. do (¢) 114 Reduction of Stellar Photographs. These results signify that if we have computed x and y from the known right ascension and declination of the star, using a and 0 as the right ascension and declination of the centre of the plate, and if the true right ascension and declination of the centre of the plate are: a+ da d+ do, then the true values of # and y will be: e+ dz y + dy. We shall therefore have the following equations, in which p and r indicate the scale value and orientation constants, as be- — fore, and X and Y are the observed co-ordinates : Cen Le mee (f) y+ dy=V+pY—rx The constants &£ and c do not appear in these equations, be- cause up to the present I have assumed that an imaginary line passing through the optical centre of the object-giass, and cut- ting the sky at a point whose right ascension and declination are a+ da, 6 + dd will cut the plate at a point whose co-ordinates x and y are both o. Ifsuch a line cuts the plate at a point whose co-ordinates are iy ' = wW equations (f) become: xetde=X+pX+rVYt+y oe ee es o) I shall now impose upon the above imaginary line the further — condition that it be perpendicular to the plate, which condition at once assigns definitive values to 7 and ¢, and for a given posi- tion of the telescope, to dx and dy. 'This is equivalent to defining the sight line of the telescope as a line drawn through the optical centre of the object-glass, and perpendicular to the plate. In this way we avoid the question of a possible inclination of the plate to the sight line of the telescope. We now substitute in equation (g) the values of dx and dy / Astro-Photographic Catalogue Plates. 115 from equations (e), replacing x and y by X and Y, which does not cause an appreciable loss of accuracy in these small terms. This gives : (X— x) +p X+ (r—tans. coss da) Y + (x + cosd da) + X?. cosd da + XY di=0 h (Y—y)+p Y —(r—tan 5. cosé da) X + (+ ds) + XY . cosé da + Y2dd=0 ( ) Equations (h) are complete equations for determining the con- stants of reduction of a plate. These constants are: p, 7, the constants of scale value and orientation, z, %, the errors of centreing the plate, cosdda, do, the errors of pointing the telescope. The corrections required by the observed co-ordinates of a star, beyond those already given in my reduction of M. Henry’s plate, are evidently X?.cosd da+ XY dd for X XY.coséd da+ Y2dd SO OY When X and Y are each equal to 1°, none of these terms could amount to 0.’’01 until cos 6 da or dé become as large as 337’. Equations (h) bring out several very interesting points. If we neglect the very small terms in X’, XY and Y’, we see that the equations are of the same form as those used in the reduction of M. Henry’s plate. But in that case it is evident that we did not obtain the true orientation constant r, but the quantity r—tano. cosd da It follows that for plates taken at considerable declinations we must not expect the orientation constant to come out the same for each plate, as in each individual case the value obtained will depend on the accidental error of pointing the telescope. Hqua- tions (2), moreover, show that it is impossible to determine this accidental error without retaining the terms in X’, etc., which are so small that they would not determine cos dda and do with accuracy. Similarly it is impossible to separate cos dda and do, which depend on the pointing of the telescope, from 7 and ¢, which depena on the adjustment of the plate. 116 Reduction of Stellar Photographs. But if we assume that the adjustment of the plate is perfect, or in other words, that a perpendicular let fall upon the plate from the optical centre of the object. glass-cuts the plate at the inter- section of the co-ordinate axes used in its measurement, then z and ¢ are 0, and we have for our former constants & and c: k=cos 0 da, e=do Upon this assumption, the corrections which have to be added to the measured X and Y on the plate are: pxX+(r—ktano) Ytk+k X2?-+-¢ XV eee p Y—(r—k tan0) X+e+tkxY+e y2 (a4 Ve which are of exactly the same form as the expressions (3) except for the negligible terms in X’, XY, and Y’. One other matter deserves brief notice in the present paper. It will sometimes happen that certain plates do not contain enough well-determined stars to furnish satisfactory values of p and r. In that case we can use the known stars upon the neigh- boring overlapping plates, as was first suggested by M. Loewy. We may suppose that the values of p, 7, & and-e are very small ; or, if not, that their values are very approximately known. Us- ing these approximate values we now determine for all the known stars, and for a number of unknown stars well distributed in the overlapping portion of the two plates, the values of 4d and Aa. This is done exactly in the manner already described; or, in other words, we reduce some of the stars preliminarily with- out the help of the overlapping plate. Now let us indicate by p’, r’,k’ and c’, the corrections re- quired by the assumed approximate values of p,r,and ¢; and by the subscripts 1 and 2, any corresponding quantities belonging to the two plates. We shall then have from each known and un- known star the following four equations: d! —), =A, d—r] - 1524, + py! F,+ 4 (a) d! —d, = A, 6 —r,! . 15 X, + p,' ¥, +e! : a! —a,=A,a+ 1! . X,secd, + py! . Fx Y sec 5, + zs hy’ seed, a! —a,—=A,a-+-1,| . X,sec0,-+ py! . y's Y,sec 0, + 75 k,' sec 0, From these equations we obtain by subtraction / Astro-Photographic Catalogue Plates. 117 0, — 0, == 4,0 —A,6—r,'. 15 X, + 1! . 15 X, + py’ Y—p,' Y, + ¢' —e,! (b) {%—%=A,a—A,a+r,' X,secd,—r,!. X, sec 0, + p,'. qs Yi, sec 0, — Pz. 75 Y2, Sec 0, + qs ky’ sec 0, — 7; k,' sec 0, If we now write 4 =A, 9 — (0! — 0,) v, = A, a —(a'— a) f= A, d — (6! — 6,) , = A, a —(a'—a,) fy = (A, 9 —A, 0)—(0, — 0;) Y= (A, a— A, a)-—(a, —a@) the above equations take the form : —7r'.15 X,+p Yi+¢'+m4=0 —T,!. 15 X,+ po! Y,+ ©! + f2=0 r'. X,sec0,-+ p,’. ps Y,secd, + 7, &,'secd, + », =o |. X.sec 0, -+ po! . ps Y,secd, + 7, k,/ see 0, + v, =o —r|.15 X + 1,'. 15 X, + py’ Yi—p! Yo + ¢'—@! + Hy = 0 (II); +7’. X,sec 6, — r,'. X,secd, + p,'. 1'5 VY, seco, — p,'. 7s Y,sec 4, —- qs hk,’ secd, — x5 ky! seco, + 4%) =o (1) In these equations p,, »,, »,, ¥, can be computed for the known stars, and y,, », for the unknown stars. It is therefore clear that every known star on each plate will give us a pair of equations of the form (1); and every unknown star on the overlapping portion of the two plates will give a pair of equations of the form (II). By combining all these equations by least squares, or otherwise, we can arrive at values of p,’, r,’, etc., which, being added to the former provisional values, p, 7, etc., give us the definitive con- stants of reduction. In the above operation we should of course use all the equa- tions of the form (I) that can be obtained from the known stars. The number of equations of the form (II) which must be in- eluded will depend on the precision of the photographic measures, relative to the precision of the places of the known stars. If the photographic measures are very much more accurate than the places of the known stars derived from meridian observations, then a very small number of equations of the form (II) will suffice. It should also be noticed that experience will perhaps show that p,’ and p,’ are either equal, or connected by a very simple law depending on the temperature of the telescope tube. If so, our equations will of course be much simplified. In order to settle this point practically, it will be necessary to compare the values of p derived from many different plates. In doing ANNALS N. Y. Acap. Scr., IX, April, 1896.—9 118 Reduction of Stellar Photographs. this it is necessary to compute the effect of aberration upon the — value of p derived from the known stars in the manner explained above. We find that the quantity which must be added to the — value of p so derived, to reduce it to what it would have been if there were no aberration, is given by the following formule: | Y, = —(tan « sind + sina cos¢) sin 1! Y2 = cosa coso sin 1! Corr® = Cy, + Dye In these formule < is the angle between the equator and eclip- tic, and C, D, are the usual Besselian day numbers given in the Berlin Jahrbuch. Since each plate has four overlapping plates, it is clear that a rigorous application of the above method of adjustment will give us a series of equations involving twenty unknowns, four for each of the plates under consideration. The solution of such a series. of equations for each plate would offer insuperable difficulties, on account of the excessive labor involved. Even the application of the process to two overlapping plates with the necessary eight. unknowns would be too much trouble. Except in very special cases, therefore, we shall have to substitute some approximate method of adjustment for the above rigorous one. Various ap- proximate methods readily suggest themselves, but it will not be possible to decide on the best one until a considerable iumber of plates have been measured and preliminarily reduced. We shall then have material which will enable us to deal with the question practically. Astro-Photographic Catalogue Plates. 119 TABLE I. REFRACTION COEFFICIENTS. YU, N, Ny, .000225 | -0000000 ; -000345 .000226 | - 0000000 : .000345 .000226 .0000000 : .000346 .000227 -0000000 : .000346 .000229 .0000000 F .000347 SOOO22 1) |. <5) .OOO000I .000349 .000233 .OOO000I : .000350 M, and WN, are always positive. MN, and IM, are negative for negative hour angles. 120 Reduction of Stellar Photographs. Rigut ASscENsION TABLES. TABLE II. A. | Aa=a sec 0-+( Tab. IL. eae +(Tab. II. C. (Tab. 506 Ds) ee ae Ad eye asec) —Aa=- (Tab. II. A.) ———- + (Tab. II. B)14 “ Pee ‘The numbers given in the Tables are invariably positive. Se ee eee TABLE II. B. Arg. Aa 72-3 E ae 123. 138.2 in 150.3 (005 160.7 ae 169.9 es Oe 2 vk : ee Gia 192.8 es TS ‘oll 205-5 ‘O12 21GE Sy, ae 216.8 : 222.0 He 227.0 “O16 231.8 an 240.7 “os Se Boe 2 Neen 253-T 622 257.0 260.8 °023 264.4 Boe 268.0 eae 271.4 274.8 Roe 278.1 OF 281.3 oe) Astro-Photographic Catalogue Plates. Ricgut. ASCENSION TABLES. TABLE II. C. Arg: y 1036 8 MOS des 2316 003 2741 .004 ouey .005 3436 .006 3736 ( Continued.) TABLE II. Arg. asec 0 65.6 94.8 T12.4 125.7 136.7 146.0 1$4-5 162.0 169.0 175-3 181.2 186.8 192.2 197.1 201.8 206.4 210.8 214.9 219.0 222.8 226.6 . 230.2 233-7 237.1 240.5 243.6 246.8 249.9 252.8 255.8 258.6 261.4 264.2 266.9 269.5 ' 272.0 274.6 277.1 D. .037 121 122 Reduction of Stellar Photographs. DECLINATION TABLES. TABLE WI. A. zseos| 0 | 1 | 2 | 8 | 4 |. 5 | 6 | 4°) 8 1) Oe 8 “ “ “i “ “ “ “a “ “4 “ “ fo) 0.00} 0.00] 0.00] 0.00] 0.00| 0.00| 0.01 | 0.01 | 0.01 | 0.02] .002] IO o2 o2 03 03 o4 .04 05 06 07 07| .co6} 20 08 09 a0) II 12 ane 14 15 16 17) .O1o} 30 18 20 21 22 23 25 26 28 29 31| .oI4® 50 | 0.52] 0.53] 0.55| 057] 0.59| 0.61| 0.64] 0.66] 0.68| 0.71| 022mm 60 0:73 | 0.76| 0.78] 0.81} 0.83| 0.86] 0.88] 0.91 | 0.94] 0.97| .o26Rm 70 0.99) I.02| 1.05| 1.08| 1.11] 1.14 | 1.17] 1.20) 4223)\— es ocee 80 1.30 | 1.33 | 1.36] 1.40 | 1.43 | 1.47] 1.50| 1.54 | 4257.) 91.01) os=mmm 90 1.64 1.68) 1.72} 1.76) 1.79) 1.83 | 1.87) 1.91 | “105s Ogh moses 100 2.03) 2.07) 2.11 | 2515)) 2.19 || 2.23 | 2.28) 2530) oe2 6a One eos IIo 2.45 | 2.50 | 2.54 | 2:59] 2.63) 2.68 | 2.73 | 2.77 | \2082))) ane zane 120 2.92 | 2.97| 3.02] 3.07| 3.12| 3.17| 3.22] 3.27| 3.32| 3.37| -O500mm 130 3-42 | 3.48] 3.53] 3-58) 3.64] 3.69] 3.75 | 3-80] 3.86] 3.92] .0540mm I40 3-97 | 4-03 | 4.09] 4.14] 4.20] 4.26] 4.32] 4.38| 4.44] 4.50| .O50/%mm 150 | 4.56| 4.62] 4.68} 4.74| 4.81] 4.87] 4.93| 4.99] 5.06| 5.12] .0627 160 5.19| 5.25] 5.32] 5.38] 5-45) 5-52] 5.58] 5.65] 5.72] 5-79| .066 170 5.86| 5.93; 6.00] 6.06, 6.13; 6.21| 6.28] 6.35] 6.42| 6.49] .o70 180 | 6.56| 6.64] 6.71} 6.79] 6.86] 6.94] 7.01] 7.09] 7.16| 7.24] .O075]mm Igo | 7.32] 7-39| 7-47| 7-55| 7-63] 7.71/ 7-78| 7.86| 7.94| 8.02) .079 3m 200 8.11 | 8.19] 8.27] 8.35] 8.43] 8.52] 8.60] 8.68) 8.77] 8.85] .083 210 8.94] 9.02] 9.11} 9.20) 9.28] 937] 9.45| 9.54] 9.63] 9.72] .087 ff 220 9.81 | 9.90] 9.99 | 10.08 | 10.17 | 10.26 | 10.35 | 10.44 | 10.53 | 10.63 | .Ooor im 230 | 10.72 | 10.81 | 10.91 | II.00 | 11.10 | 11.19 | II.29 | 11.38 | 11.48 | 11.57] .OO5 240 | 11.67 | 11.77 | 11.87 | 11.97 | 12.07 | 12.16 | 12.26 | 12.36 | 12.46 | 12.56 | .099 250° | 12.67 | 12.77 | 12.87 | 12.97 | 13.07 | 13.18 | 13.28 | 13.38 | 13.49 | 13.59] 103m 260 | 13.70 | 13.80 | 13.91 | 14.02] 14.12 | 14.23 | 14.34 | 14.45 | 14.55 | 14.66] .107 fm 270 | 14.77 | 14.88 | 14.99 | 15.11 | 15.21 | 15.33 | 15-44 | 15.55 | 15.66 | 15.77 | .111 = Viner y positive A 0=y— (Tab. III. A.)—(Tab. ILC.) 365 + (Tab. IIT. D.) 4 7) negative A J A A) e,e ee positive y =A 0 + (Tab. III. A.)+(Tab. HI. B.) 7555 = (Tab. HI. D). { A 6 negative The numbers given it the Tables are invariably positive. Astro-Photographic Catalogue Plates. . DECLINATION TABLE III. B. Arg. Aa D5251> i; 92-7 Op I19.7 03 I4I.2 ion 160.3 "05 WT-3 6G 193.0 07 207.2 me 220.7 es 233.2 “12 245-5 “yy 256.6 = 267.5 13 Hr foOme ne TABLES. ( Continued.) TABLE III. C. TABLE III. D. Arg. Arg. x seco Adory Weis Ub S61 “ ee me 97-2 .03 1472 03 I1I5.0 ‘O4 1647 jak 130.5 os I791 OE 144.2 “Oe 19l4 “oe 156.8 107 2024 oy 168.5 a 2123 “08 179.3 09 2214 ion LES ae) oe LO 199-3 25730) 208.5 a5 2448 aa 217.4 13 2517 iB 225.9 4 2583 TA 234.2 15 2644 ts PART 316 ZONE 249.8 17 2762 ty 257-2 ime 2816 18 264.5 "19 2869 "19 271.6 ae 2919 “4 278.5 ee 2969 pe 285.20 4 3016 ~ 3062 ee 3107 aL 3151 = SUSE Rs 3233 127 3274 (38 B3LS Bases agus) Se 3126 Bait 3461 532 too a5ar “ot 3505 “32 3598 *2 eosmeeee 3003 ~ -39 123 III.— The Monoclinic Pyroxenes of New York State. BY HEINRICH RIES. Read March 17th, 1895. CONTENTS. TMGTORMMCHOM slic. coceesnavnns sense segbonts ssleetcecedviensosese sree qlece cones eee eee eee eeaee 124 LAGOra bre. 5.222250 ssc teetsncedlsalicced sided essen cteca chee aeletebeet SOsc eee eee eee EEE eee 125 General Characters of Pyroxene................cceeeneeecececececeees ‘aoe tendieled vomamenee 128: Distribution of the New York Pyroxemes .2::.0...../.0s.05--cs+ ee eneen eee 131 Characters of the New York Pyroxenes:— Crystallography oo. .cccsisccncris/lswiec se sic e+eevlsisnever'ssise eetence Gese sae Pe Ce Re eee CeeREEe 133 Optical! Properties: 2. 5sc setae ce sisoseslacaccsesehececssadss eden ccc cee ee eee eee ee EERE 137 IGCH=BiGUeS ss hee uc ce sien case beuiee aatteees suiececdceedancs dee eeee se cee ee eee EEE 140 Alberation Products... ccc.cc 132 The Monoclinic Pyroxenes of New York State. tween is frequently filled with calcite. The igneous rock also be- — comes more pyroxenic as the zone of contact is approached. — The most important of these contact localities are at Russell, East Russel, Gouverneur, Pierrepont, Diana, Natural Bridge, Rossie, Oxbow, Dekalb and Edwards. The small beds of ophicalcite of the eastern Adirondack re- gion contain an abundance of pyroxene in grains and crystals, which are either disseminated through the rock or else collected with other minerals in the form of large bunches of silicates in the limestone. An excellent illustration of these bunches of silicates appears in a recent Beper ‘by Prof. J. F. Kemp. (See Ref. 30.) In this same region the pyroxene not unfrequently occurs in intimate association with the ore-bodies, either as well developed crystals, or forming granular streaks between the ore bed and the wall rock. The pre-cambrian rocks of the Highland region in southeastern New York are composed of a series of gneissic and granitic rocks, interbedded limestones and beds of iron ore, the whole in- tersected by many dikes. The conditions of occurrence of pyroxene in this region are therefore somewhat similar to those found in the Adirondacks. While it occurs in grains and anhedra* in many of the gneissic rocks and dikes its best development is around the beds of magnetite. The most important localities are at the O’Neil Mine, the Bradley Mine and the Sterling Mines. Owing to the cessation of mining these localities are practically exhausted. To the southwest of the Highland region the area around Mts: Adam and Eve is of great importance, for the intrusion of the granite into the limestone has given rise to.a rich development of contact minerals, pyroxene being among the best developed. Most of the specimens have been found near Edenville. The gabbros and diorites of the Cortlandt Series, near Peeks- kill, Westchester Co., contain an abundance of pyroxene, and the same mineral has been formed as a result of contact metamor- phism in the surrounding limestones (Ref. 61 and 63). The same is true of the Rosetown extension of this area across ee Hudson River (Ref. 22). *L. V. Pirsson. Philadelphia Meeting Geol. Soc. Amer., Dec. 1895. The Monoclinic Pyroxenes of New York State. 133 Other isolated pyroxene occurrences are at the Tilly Foster Mines, Putnam Co., and at New Rochelle, Westchester Co., the former associated with magnetite in gneiss and the latter with serpentine. | Pyroxene is very abundant at certain localities in the dolomitic limestones of Dutchess, Putnam, Westchester and New York Counties. The crystals all bear the closest resemblance to one another, and are found singly, in streaks, or in clusters lining cavities. A massive form of the same species occurs at times. The important localities are Kingsbridge, New York Co., Sing Sing, Westchester Co., Pawling and Paterson, Dutchess Co. The dolomites in which these pyroxenes occur have been highly metamorphosed by dynamic action. It will be seen from the foregoing that the pyroxenes occur in New York State under the following conditions: 1. As primary constituents of igneous rocks. 2. In the contact zones between the limestones and intrusive rocks. 3. In crystalline limestones in areas of regional metamorphism. 4. Associated with the iron ore bodies. In general, it may be said that the lighter colored varieties occur in the limestone, while the darker ones are found along the contact zones and in the igneous rocks. The minerals usually “found associated with the pyroxene are scapolite, feldspar, wol- lastonite, amphibole, titanite, mica, tourmaline, garnet, chond- rodite, zircon and quartz. The pyroxene occurs both massive or in crystals that are scattered through the rocks or that form clus- ters lining veins or cavities. These latter are generally filled in with calcite or quartz. GENERAL CHARACTERS OF THE NEw YORK PYROXENES. CRYSTALLOGRAPHY. The forms occurring are comparatively few in number, but the combinations and their relative development of faces are, in most instances, quite characteristic of the locality. These peculiarities are mentioned under the detailed descriptions of the different localities. The great majority of the specimens found only show faces in the prismatic zone, owing to adverse conditions of growth. Doubly terminated individuals are not uncommon but they have not been observed from every locality. ANNALS N. Y. AcAD. Scr., IX, May, 1896.—10. 134 The Monoclinic Pyroxenes of New York State. The following faces have thus far been noted on the New York ~ Pyroxenes : m(110) © P w (111)—P f (310) © P3 s( 111) P a(100) 0 Pw v (221)—2P b(010) © P& o ( 221) 2P ¢(001) OP 4 (331) 3P e(011) P A (311) 3P2 2 (021) 2P uw (121)—2P2 p(101) Po a (312)—3P3 Prisms. The unit prism m (110) is a very common face and is almost invariably present. It may or may not exceed the ortho and clino pinacoids in size. The ortho-prism (310) has only been observed on one crystal from this state and that from the Tilly Foster Iron Mine in Putnam Co. It has not been previ- ously recorded from New York State, but is common on many European pyroxenes. Pinacoids. The ortho pinacoid a (100) and the clino pinacoid 6(010) are as common as the unit prisms, but show great varia- tion in their development. When of equal size and greater de- velopment than the prism the section of the crystal is square. A greater development of one of the pinacoids gives the crystal a tabular habit. Thus the white pyroxenes from Sing Sing, West- chester Co., are nearly always tabular parallel to a while those from St. Lawrence Co. are not uncommonly tabular parallel to 0b. The basal pinacoid ¢ (001) is often seen on terminated crystals. A basal parting may give the same appearance to the crystal. The basal pinacoid face is generally rectangular in outline, but this varies somewhat depending on the number of faces which in- tersect it. Domes. Two clinodomes and one orthodome occur. The latter is the commonest of the three. It is rarely present without the basal pinacoid and is generally smaller than it. A characteristic exception to this rule is found in the augites from Mt. Adam, Orange Co., and those from the Tilly Foster Iron Mine in Put- nam Co. The two clinodomes e (011) and z (021) are generally represented by small triangular faces. The dome z is rare, but the dome e is quite a characteristic form on many augites from the Highland Region of Orange Co. The Monoclinic Pyroxenes of New York State. 135 Pyramids. Terminated crystals as a rule show the positive and “negative unit pyramids and the positive pyramid 0 (221). The latter is rarely present without the other two. The pyramid v (221) israre and usually small when present. A notable excep- tion to this is the white augite found in the dolomitic limestones of Dutchess, Westchester and New York Counties. The 4 (311) has only been observed on crystals from two localities, viz., Rus- sell and De Kalb and the pyramid 2( 331) is even rarerand found on crystals from Diana, Lewis Co., » (121) and a (312) have only been noted on augite of Orange Co. A curious inequality of development is shown by the diopsides of DeKalb, on which one face of w(111) is often large, while the other is so small as te appear absent. The pyramid faces are often dull or even slightly rough, and seamed with a series of longitudinal pits. The accompanying table gives the distribution of the different faces found on the New York pyroxenes. TABLE GIVING OCCURRENCE OF CRYSTAL FORMS AT THE DIF- FERENT LOCALITIES. LOCALITY. al\ec\b\m|fle|ziuls|vi|o|A\A\ p\pula prams? Wake. .. ccc. cevsccees |e | x | & * | * * NITE EVE asec sce sisleis sis ee aloes % |e) He) x es a ‘Clavilevoyote] & G0 | Lea ee a Be | 5 |) Ss || 2s eS) 5 * IN AMlOn sc levsis sais Givis oe Sa code % |X| x) % * x ee |} 28 2 {aes MBNVeNTT APM eke circ), cehencle ela duis % | |x| % */) xe) x *| x Gouverneur... .............06. se fer a Bef eo) fe Greenwood Lake.............. oo || eo ho? es Hammondville................ to || 2)]] 3" 8 % Highlands of Hudson.......... So |) eo) ee || 3 aS LUNGS Da Cr Belles alee (ae | SNACOMMDS oo cicls . cis oa sob owe cals oe ||" |] 51 as Monroe “Township....-:........ 28 |p Sah ep eS ea a * a Mapural Bridge..:.-.-.......0.. ee he ae ea al ee % BUPA O NVA Uma casiafoove elicvevaiorare oc ree |] eg eo) fas ee || es eS IPA ee. oon mje csie 6 ee 6 e nyers s 2 | ee eo || 8 pa ee MENDON a5 cc cece ccs cceseces: % | |e | PSG RHE Ga oa eee ee eae ae | % |e | % a | 2S x a BMMEBEVCHIY once ges acess es parle aes f alle A SISSIGS) goo She oae Cee See Ba | ary og |e *3 SEAS CUM Est fhe cl cso ettea sore lavcie 0.0 ace oy 2 oes a cs BOM OG lege a cscs oneness oe 3 || 29 |) ee |) oF 29 || 8 “ PRUVBOSFEL: 2o.c5 ce ccc e ence ao ea EN all arg ee | es oS ce BIRTH CIES cslale vicisie Saeco tases 5 ee | oi) eo eal ee a ae [23 136 The Monoclinic Pyroxenes of New York State. Cleavage. A well-developed prismatic cleavage is often pres-— ent. Sometimes it is only apparent in thin sections, but at others — is so pronounced as to cause the crystals to cleave easily. An orthopinacoidal cleavage is said by A. R. Leeds to occur in the pyroxenes of the Adirondack region (Ref. 34), but it is probably — a parting. ‘Parting. There exist two pronounced partings due to twin- ning, one parallel to the base, the other to the orthopinacoid. The former is the more abundant and is seen on specimens from nearly every locality. Both show themselves on the surface by the existence of numer- ous striz. Twinning occurs after two laws, viz., parallel to the base and orthopinacoid, the former being the most common. Usually the only outward evidence of the fact is the striated surface referred to in the preceding paragraph. The twinning may be repeated, the alternate twin lamelle being generally extremely thin. At times there is only one twinning plane which; passes through the centre of the crystal, parallel to the orthopinacoid, thus producing twice the number of faces of the same symbol at one end of the individual. A curious case of twinning is noted by Prof. G. H. Williams on a erystal from Orange Co., in which the lower half of the crystal alone is twinned. (Ref. 60.) Perfectly fresh crystals do not generally show twinning. Hemihedrism.—According to Prof. G. H. Williams this has been ~ shown to occur on crystals from two localities in New York State (Ref. 62). One example is a crystal from Orange Co., which shows planes of different forms grouped about opposite extremities of the verticalaxis. From its occurrence on several crystals this inclined hemihedrism seems to be not altogether rare. The Orange Co. crystal shows ¢ (001), s (111), 0 (221),e (011) andw(111) at the upper end and ¢ (001) and w (111) at the lower. Another crystal from this same locality shows c (001), s (111,) 0 (221) and u (111) above, and below the two halves of the crystal in twinning posi- tion and with only 0 (221) and p(101.) The crystal was carefully tested by Prof. Williams but showed no pyro-electricity. Sy ae eee goseaecasAeT 40° 10 59° 4.91% Porbeblenmy ress: 41° 56° 30’ 3.12% PUt@alUM es eeeace cscs ge: 41° 30’ 59° 40’ 4.391% ND ey ofc es cose Aeqaeeaaaacnn 41° 30° 60° 40’ 14.07% The same disagreement between the extinction angle and the axial angle, is shown by the following measurements { of pyrox- enes from other localities. * Methylene iodide with index of 1.732 was used. + Determined by K. Zimanyi, see Ref. 60. { Hintze, Handbuch der Mineralogie, p. 1026-1029. The Monoclinic Pyroxenes of New York State. 139 LOCALITY e/Ar 2 Vna Diopside, Nordmarken.................05 38° 337 58° 52/ White pyroxene, Kussinsk, Ural...... 38° 34/ 58° 45’ Diopside, Schwarzenstein, Tyrol...... so Al 58° 56/ Green coccolite, Arendal ................. 40° 22/7 58° 38/ Schefferite, Langban. .................000 44° 2537 65° =3/ Diopside, Nordmarken.................... 44° 42/ 60° 287 ee SONGS Wagansthedose seers 45° 21/ 66° 44” Hedenbergite, Tunaberg................. 47° 10/7 59° 52/7 Augite, FTASCAatl ........0.:.20scenseseeeons 54° 68° MertuHop or Curtine Sections at RigHtT ANGLES TO THE ACUTE BISsECTRIX. In cutting sections of the crys- tals for the purpose of measuring the axial angle some difficulty was at first experienced in getting the section cut at just the desired angle, as no saw for sectioning brittle minerals in any desired direction was at hand. The fol- lowing method was devised and on account of its simplicity and the uniformly good results ob- tained seems worthy of mention. A frame of hard polished steel -was made of the shape, shown in the upper part of Fig 1. On the clinopinacoidal face, or a ground plane corresponding to it, there is scratched a line representing the trace of a plane normal to the acute bisectrix. The crystal is then fastened in the frame with a piece of wax so that the line coincides with the upper surface of the frame, and plaster of paris poured in around it and allowed to harden. The crystal is thus firmly embedded in the frame as shown in the lower cut of the figure, and is ground down until its surface is even with that of the steel frame. The crystal is then removed, the ground surface polished and cemented to a glass slip and the other end of the crystal ground down in the usual way. 140 The Monoclinic Pyroxenes of New York State. The section giving a perfectly symmetrical and satisfactory — interference figure was obtained at every trial. The smallest — crystal sectioned was three-eighths of an inch long and the same — in width. ETCHFIGURES. Crystals of diopside from DeKalb and augite from Pitcairn, showing smooth and bright faces, were treated with warm hydro- fluoric acid for several minutes, and in both cases with the follow- ing results: | <<] =< a ™ On the prism face there was produced an acute angled triangle, whose longer side was parallel, or very nearly so, to the edge 110/010. The acute angle always pointed towards the positive hemipyramid, while the obtuse augle pointed towards the ortho- pinacoid. On the orthopinacoid the etchfigures were irregularly deltoid in outline, with the lower end rounded, and the upper end always drawn out into a point which was towards the negative hemi- pyramid. Somewhat irregular figures were produced on the clinopinacoid, The Monoclinic Pyroxenes of New York State. 14] but those which far exceeded all the others in numbers were rec- tangles, whose longer side made an angle of 25°, with the edge 010 /\110. Theupper sides of these rectangles are parallel to the intersection of 010 and O11. A triangular figure was produced on the negative unit pyramid face, whose acute angle pointed toward the edge 111/\111. The base of the triangle made an angle of 15°, with the edge 111/\110. Very unsatisfactory figures were obtained on the basal pina- coid. The majority were squares whose sides were respectively parallel and perpendicular to the plane of the orthopinacoid. There were also a few pits whose outline was closely that of an equilateral triangle. The results noted above agree very closely with those obtained by Wulfing* on diopsides from Ala.,; and by Greim}. Greim states that the triangular pits were sometimes truncated by a fourth plane, but this was not noticed by the writer on any of the crystals etched by him. CHEMICAL COMPOSITION. As previously stated pyroxene is divided into several varieties of definite theoretical composition. It rarely happens that the analysis when calculated out gives a formula which corresponds exactly to any of these, but instead, the pyroxene is found to consist approximately of an isomorphous mixture of several metasilicates. Rammelsberg { put forth the theory that in aluminous pyrox- enes, the ferric iron and alumina were present as sesquioxide and mixed with the normal metasilicates, thus giving the general formula n R Si0,+R,O,, while the pyroxenes with no alumina were simple mixtures of isomorphous silicates. Tschermak § subsequently showed that in many cases in the alumina free augites Ca=Mg-+Fe, while in the aluminous ones Ca 13.9 Oly maemermcsaasaenameanene Cascadeville. 4278 2 SOQ eee cele aeeseoane Diana .386 > TGA aceemeniatenacconeeteee Keene OL. < AITO) sonae cH SddceaneencandercaG a .3353 << RAD BOM uenennate sumeueeceane Mt. Marcy. .3825 < FAG Rt ove tasctucomemassenee Pitcairn. .309 < aS enon SoOneb arene cance maaees Pt. Henry .4166 > XO} )e AGE aban bpeccdaadccsancs Rogers Rock -4107 > SO Dest naamunen dosemeters as .368 << PADD cing sae ccins saenaeaaaeres Greenwood Furnace. 277, Ss Fal (oko RGB AB ROH REECE CREE Rosetown. .480 > SOMO saa eee ee ante Warwick. .458 = VOODOO A Tacceweasee eect eee Edenville. 4432 > FANS OS acsa acon cette teene Sing Sing. .o75 > BRHa IS moaparoncodcoddensintobde West Point. .345 a PAY enacts tec ewes Seaaecene Willsborough. .394 >) = eee mol Sermanicum)... eee 92 Calathus guadalupensis. . 349 inloides . . 83 Calliostoma..... 703 rhenanum . 92 Calosoma arcuata . - 343 | CHORDEUMIDA {-) nee 21 DUNT COUTTS fey eae eo ees 340 |'(Chrysodomus .". . . eee 694 monticola . 342) (Cicindela: =— =) 4) 5) ee 295 parviceps . . . 341 denverensis eee 297 SPONSAgie Seen weer 340) depressula).) <) 2eeneeene 297 CAMBALIDE 6 echo ao fe pee 298 CAMBALOIDEA 6 ING UWS tOn ees 2 ee 298 CAMBALOPSIDE . : 6 lawta >). eee 296 | Cumpodes . . i al plutonica . voles 296 flavicornis 43, 44 | CICINDELIDA! . 2.) ae 288 FUSCLCORRIS: FL = . As (Clanenlus 2). = eee 704 CAMPODESMIDH. ... . 4 | Cleidogona’ . |. 2 3aeaeaeme 28, 41 Capnea lucida . 182 cesioannulata. .... - 43 CARIAB LD Ate eles 299 LOLCEDSi sae 49 Caseyats einige rt ous 28, 84 fustis 50 evexOpUS) ye) cl seek 85 Tamiunatars oes saree 48 Cassidaria 700 major... 47 (QUNSSIOD IUD YADI a Say Nous uRAteaN Iota a8 699 mexicana. . 52 Cassis 699 Vdd) eae Site een Catalinus: Sao. sas 469, 492|CLIDICINE ...... . . d04, 541 angustus . . 4) 493) | (CEMmICiNiue iE) Sane . 541, 542 Cecdiuisi eli cyra whem icaimtanere) Mice. pes 625 | COLOBOGNATHA...... s) 288 robustus 626)|'Columbellay 592) -) sae 696, 697 SpiNOSUSteee eee ee 626)| COLUMBELLID A.) ee 696 ziegleri 626 ||ConYDIIN AS aeons 630 CHPEVAT OND AN 2mm aie ee 649 | Concholepas. . 698 Cephaloont 35-9 o.oo saya 649) | Connophron =) =") ene 362. 390 lepturides) as: 650 abducens. aaa 394, 418 ornatum. . . 650, 652 acutipenne. . . . 393, 401 tenuicorne . 650 CON Mole dic", . 395, 427 ungulare . . 651 angusticolle . . . 395, 423 General Index. T07 PAGE PAGE Connophron atrum .. . . . 398, 461 | Connophron pallidum . . . 395, 422 PASalOwe es a ease.) Bercies 398, 456 parcum! "54.5 qacek 396, 441 IDICEPS a. a = . 397, 443 pertinax ..... 398, 462 bifidum: <7... 3°.) 1397, 451 POlibunMl; > <2) eens, 400 brevicorne. ... . . 394, 413 PLOCERUMG es 394, 415 calearatum. . ... . . 397, 450 proximum. ...__. 398, 453 capillosulum..... 398, 452 pumilumiy = ee oes. 406 castaneum.. . . - 396, 436 | pyzamidale 295 (32a. 396, 439 Caviceps..... . 397, 444 Tepletum wea 393, 399 clavatum .. . . 397, 442 repugnans ..... . 397, 449 clavicorne...... 394, 417 TULUM ee ae) See tovo e406 comptum .... . . 39d, 421 SOI 6 bbe oe 6 393, 403 Gamiler sc. 3s). 4013 . 396, 435 | Setiger 0) 507 ikxt1390, 40k debilitans...... 397, 446 simulans ... . . . 393, 402 decipiens .... . 397, 443 tenebrosum ... . . 394, 414 decorum. .... . . 395, 430 testaceipes ... . . 396, 433 @entigen =. 9 ees) 393, 407 WENT 5 o 6 o oc 397, 447 digressum . ... . . 395, 430 trinifer ..... . 397, 445 divisumen a) eee e906, 432 WANA 6 5.2 6 6 o 6 GN 487 elongatum. ... . . 394, 416 ventricosum .. . . 395, 428 extricatum. ..... 393, 408| Conotyia ......- Be foe ete, ll) femorale. :. 9... . . 394; 414 atrolineata ..... . . 7a filitarse ..... . . 398, 460 loon 5 6 bss eo eg AO flavitarse- 2°. 5°35 = 393, 404 fISCHELIES A eye elton el formale ..... . . 393, 402 PlOMETA tA enn fossiger . per OO As Abt leihergie say ca. ue nene frontale . . sg ee tay, 4283) WEOOMY 4 5 5 5p oo 6 | fe TYPOS NUNN 7 gt iG on bree 395, 424|Copturodes . . See a 6 OST, OSE) fulvum ... . . 397, 448 | ROE) Ge 6 6 os. WW furtivum ..... , 394, 420 binotatus = 2 =. . = = 670 gaudens.... . . 394, 410 Se CavatkOnSe |. se) nee . 670, 675 hixtellum! <2 = 3.) )395; 429 cockerelli . . . . . . 670, 671 NWI 6 ne ee ce 5 oe, ARI dispersus .... . . 671, 678 Stress snes ee ae a9Os 454 floridanus .... . . 670, 674 DHETMI CMe sess) OIG ASA: frontalis .... . . 670, 674 innocuum ... . . . 396, 434 Koebeleiemeennoermcan 670, 672 integrum .... . . 395, 425 Nom 6 5 oo cf a 6 (ail lacunosum. . . 398, 459 NUMALUS ee ieee OO Jeanine 4 8 6 a4 . 394, 419 | mammillatus ..... . 669 iimatnunis 29. e.)- . 398, 465) missourianus .. . . 670, 673 longicorne. . . . . . 393, 406 mucidus .... . . 671, 676 longipenne. . . . . . 393, 400) TEVNUUIER 5 g 5 5 6 os . 670 longipilosum. ... . 398, 458 | nubilatus ..... 670, 676 ludificans . ... . . 394, 409) obscurellus ... . . 671, 677 luteipes...... . 394, 418 operculatus ... . 56 OO lynceum..... . . 398, 455 GUELCUSHe ees en nea eee O) mutilans. .... . . 398, 452 sparsus ..... . . 670, 673 nigripenne. ..... 394, 410 subcupreus ... ~. . 671, 677 nigrum .... .. . 398, 463 Suturalisl 20) os 670, 672 nimbatum. .. . . . 396, 440| Craspedosoma So Lately) novellum .... . . 394, 412 QUROUIN CALL eae ee OUGi@lons 3.5 Gots fas 395, 426 DOUMANT AO ee eG, optatum .... . , 393, 399 CORUNCLUTON i n-aaneeee . 33d oregonense ..... 396, 439 HMaveSCENSiay. ees eine aegele 90 oreophilum ... . . 393, 405 PLOUICUIU Uo chokeh rote Od OSculans|y scsi vtec 396, 438 TCT UCAIUU mene tieeaeee 52 paganum .... . . 398, 464 moniliforme ...... 90 pallidipes .... . . 398, 462 NOUS GS Boo eee. 6 90 708 General Index. PAGE Craspedosoma ocellatum 68 oribates 90 packardti . . . 68 ; stygium St 190 CRASPEDOSOMATID . 1, 3, 21, 88 CRASPEDOSOMATOIDEA ; 3 CRYPTODESMID& 4 Cryptotrichus F 41 cesioannulatus. . .. . 43 Ctenistes , 617 CORENTSLIN ene 617 CuCcUJIDE te 630 Cupes capitatus . . 637 concolor 638 TODICe pS aE ae 637 Ccwlatusiieny. sue en 638 CUPESID& Oo Cupila BEd bs . 507, 561 _CURCULIONIDZ . . Gos) CYCLODESMID& 4 Cyprea. . 701 CYPRHIDE . 701 Dalmosella . 508, 570 tenuis ; 570 Dasytellus LEAS 682 Dasytes parvicollis 682 Decarthron laurenticum . . O84 Delius : Se, eee AGS VA Ori robustulus . ease 497 DENDROMELID : . 181, 186 Diplactis bermudensis . co LES DIPLOCHETA i Bug ON) Diplochila alternans . . . - d47 @iiems e e 8 o 347, 348 impressicollis . - . S47 laticollis ....... 347 nupera 347, 348 obtusa . . 847 DIPLOPODA . as 1 DISCOSOMIDA . . 182 Ditomag., 225 2. 631 DOLIID 700 Dolium . . 700 Drastophus . 362, 389 leevicollis . “2 389 Dromochorus 293 Ine linace Wee neem ec tones. 294 pilatei 294 pruininus. . 294 sericeus. - . 294 Elaphrus politus. . 345 Euchelus Pe Ns: a8. deat be 704 Euciconesmarginalis. . . . . . 632 EUCONNINT sen . . 304, 362 Euconnus = 2 2202). . 362, 363 affinis . . 365, 374 PAGE Euconnus bicolor ..... 365, 370 callidus 2). 366, 383 capitatus . ..: . eae 366, 384 cavipennis. . . . . . 365, 371 clavipes . . . 364,.367 debilisiss-. = eaceeene 366, 383 fatuus. . . . 366, 381 gratus. . . . 365, 375 heedillus. . . 366, 380 impotemns ...... 366, 382 MELUSH eee . BOD, Old nigrescens . . . 365, 373 occultus) eee 365, 372 putus . 365, 376 Kelucensis) eu eee 365, 378 salinator. . . 365, 379 semiruber...... 365, 368 varicornis . . . . 365, 369 ventralis . . 364, 366 EUMICRINI . . . 300, 522 IF wTOMOWS 2 55 ao -. 9622, 928 caseyt aS paelaeeaan 519 eruralis . . . 525, 534 floridanus ...... 525, 530 foveatus . . . . 524, 528 gro-sus . . 024, 525 longicollis. .... . 520, 531 lucanus .. 2 2) ae 520, 048 motschulskii. . ... 525, 529 occipitalis . . . 024, 526 ochreatus ...... 525, 532 punctatus... ..: : 536 quadric ps. . . 524, 529 Saginatus 525, 533 vestalis .... 524, 527 Eumitocerus . . . 548 EUPHOBERIDA a TOMI KOMI Ge 6 6 a 6 6 8 552 Euplectus disjunctus . 554 Eustemmus . 522 Buthetaiin 2 6 8s 2) a ae 507, 508 aAMErICANa > =) 508 settuld, oe 513 EIWTHETING. -4\). a. ts ba eee 355, 507 Buthiaycolon S23) eee 514 impressa 511 longula . 511 Euthiodes 507, 515 eristatus. . . . . .. 514 latus. . . 515 Euthtias oe eee 695 IVARONENT 326-0.) 3o ae 550 Fasciolaria ........ ., 693 FASCIOLARIIDH. ..... . . 693 Jmuilbante 5! 616 chia G . . . 693, 694 Galerita infrma.. . thoracica . . Gastropod mollusks Gelus. ee GERVAISIIDE . Gibbula GLOMERID GLOMERIDESMID GLOMERIDESMOIDEA . GLOMEROIDEA.. .°. GOMPHODESMID Gyrineum ..... Gyrotus munitus Onis oats Haasia . . HAPLODESMID® Harpa HARPID® LGA ae Heteractis lucida . . Heteranthus floridus Heterochordeuma HETEROCHORDEUMID® HIPXACTINIE . .... Isaurus duchassaingi ISOBATIDA IULID& IULOIDEA Janthina . JANTHINIDE . Lebrunea neglecta . . LEPTOMASTACINI LEPTOSCYDMINI . . Leptoscydmus. . caseyl cavifrons LIMACOMORPHA Listrus Aeiborinay 2 2) eS LITORINID& LOPHIODERINI Lophioderus .... arcifer biformis gracilis myops LOPHOTRICHA LUCANIDE . . LYSIOPETALIDZ LYSIOPETALOIDEA Mammillifera nymphea . . Marginella . MARGINELLIDE .. General oe) ae On =n BRS croga si) Yor Sear) pay ve: COs oo oe ci eveyone. ote 2 or fe 6 e Ora Cites ae se Te Onde SCR aS Index. MASTIGINI . . Megarafonus ventralis . . Melba 202: fossiger suleatula texana uniformis Melo. MEROCHETA ..... Microstemma grossa motschulskit MITRIDA Mollusks..... MONOCHETA Murex MURICIDZ . . Pye ie Sched NANNOLENIDZ . Nassa . NASSIDA Natica . NATICID#& Neladius tenuis Neleus . . . Nerita .. NERITID Neritina INTMUS! OAs cape ties Nisaxis cincinnata , maritima . parviceps . tomentosa Noctophus schmitti Oliva . Ohivellass see Omophron : americanum concinnum dentatum gemma vilee elimi se lacustre nitidum sie vis Cie OU MOMeic ye arrestor. 4 Qs Ce Saat WLS OP CNSOS SOY Te ee . ee Oued, ei Viwh raeeuee Ce Our tC cy s fey se 2 8 eo. 302, . 686, 687, Sap GSS" rae CeO iG obliteratum.... ovale : pallidum . . robustum solidum sonore tesselatum texanum Omus ambiguus at ie) U eee As wee! 710 PAGE Omus audouini 289 californicus .... . 289 confluens .*. 289, 291 dejeani sha Paste) edwardsi . - ahs Se eeey, elongatus . . 289, 293 hor i 289 Kegvisis Se eee eee 289 lecontei : 289 lugubris. . . 289, 290 montanus 289, 290 punctifrons ..... 289, 291 sculptilis . .-. .*. . 289, 292 sequoiarum ....... 289 submetallicus . . 289 Onliscidiia ey hy cei tee 700 ONISCODESMIDZ E 4 ONISCOMORPHA ...... oS OPRESINI . . 354, 493 Opresus . . Potala Fowler ds AOOn Oe atomus .. . . . 495, 496 luteus . 495 mone = 5 2 6 a ae 494, 495 OTHNIIDE - 653 OXYDESMIDZ 4 P#ROMOPIDE 6 PALHOCAMPID 2 IPERS oo wee te Cele s 542 macer set 544 PARADOXOSOMATIDH ..... 5 PARAIULIDE . . 6 Paraseydmus <3 2 ..-2 - 473 IDASSVAGIONE:D) Phe ea te yo 640 Passalusiyee scsbe ks: aches 641 cornutus 648 distinetuS. «. .. 2). 648 Paxillus parvus .... .. . 641, 644 Pemphus Pee he 2S ie oaS angusticollis . 339 LOWE UPESHP <\ Wa reek ea 339 WNW S Go Bie gee 339 Periplectus F 558 PHATYRRHACHIDA . ppae 5 Photographic plates, permanence Olen. teat eam eee ermal ye ts . 195 Photographs, stellar . 101 PHYLLACTIDE 182, 186 PHYMANTHID ~ 182 Pilopius (es 617 abruptus 619 cinderella . . . 619, 624 consobrinus . . 619, 625 flonidanus. .))n-5 =) ae 619, 623 georgianus . . 618, 621 granicollis . . . 619, 622 impressipennis . . - 619, 624 1o\ensis . 619, 622 lacustris . 618 General Index. PAGE Pilopius ocularis 619 piceus . . 619, 622 pulvereus . 619, 625 saginatus . - . 618, 620 zimmermanni .. . . 619, 624 Pisania 694 PLANAXIDA! . = 20. eee 702 Planaxish) (oie eee 702 Platy.cenusi sacs =a 638 chalybeus ..... 639 marginalis’ \ 202 es meee 639 PLATYDESMIDZ . 3 PLATYDESMOIDEA ...... 3 Platyverres)) 24) ae 641 POLYDESMIDA 2). 22 5 POLYDESMOIDEA 4 Polydesmus ocellatus 68 Polythoa nymphosa . . . 188 Poly tropa as) eee 698 POLY XENDD Ay.) a eee 1 POLY ZONTED A), ee 2 POLYZONOIDEA ........ 2 Proculejoides crassulus . 641, 642 Proculus magister ....... 641 Promecognathus debilis 346 Prophilus . . 3) 2, 4. 0e eae 558 PSELAPHIDA ... 550 Pselaptus belfragei . .... 613 PSEUDONANNOLENIDZ 6 Pseudotremia ‘ 28, 34 carterensis 40 cavernarum . . 36 vudit . 51 Psomophus) (20-5) ee 366 Psomus 667 Ptichopusi) a) sea eee 641 Purpura® ois os Varta eee . . 698 IPycnophus. |.) sae 362, 385 rasus PRP onic) cuchicliy, 405) Pycnoplectus imperfectus ... 59 tenellus F 502 Pyroxenes, monoclinic . 124 Pyrula +a ed ee ee 701 Ragactis lucida 182 Ranetla =. 699 Reichenbachia ae 586 albionica . . - . 592 arcifer 590, 604 arthritica. . ... . Br iais)\! articularis. . . 592, 608 atlantica . i 587 binodifer . 592, 608 borealis) sco a) Saas 589, 601 canadensis 587 com par 591 complectens 592 congener . 1 Ve osia corporalis . . 589, 600 General Index. ely : PAGE PAGE Reichenbachia cribricollis . . . 588|SCYDMHNINH...... .. 354 cylindrartus ..... . 587/ScCYDM@NINI ..... . . 354, 469 deformatal, 2)... 24. .' 590)|Scydmenus =. 2°... . 469, 470 GEMNSSA eres Sera ee O90 ONGQUS) 35 ye foes Seek 427 depressifrons ..... 590 HEGURUB 8 os 65 oo. 6 492 gistans= 2. = 2) - 090) 602 aGinas ey cae eee en ae GUVENSENS ies ole. oe OS | UMSHNS5 os 66 6 8 6. x 456 PACHIISM BREA MR MaS Te. cr Hots ick ONG WOOP S on os a = BHO, BS fair ete is ee OO COG brevicornis . . . . . . 413, 417 HINUUIUCUSCOIUE ne) en Ot caducus. .... . . 473, 488 hundatas | 0s aa... Ol californicus - .. . . 473, 490 furtiva if lathe epee Bae) capillosulus. . ..... 452 fusciventris 5 5 5 Heh SY clavatus a ie oa 4492 fusticornis ... . . 592, 608 CLAUUDES an i eee OOM ROA’ gemmifer Bie ee OST conjux pier Memento ei 0) gracilicornis ..- .. 588 COMSODTINUSH eee eee Lo STACHISH eames tries a) 5) OSS corpusculum. .. . . 473, 488 THEVGTTUE 5 aparece hs gn eee REC Stet! cribrarius ..... 472, 477 HORTA. Gee dn a 6 GOL HS OPTUWS 6 5 5 2 oo 6 5 OS) inopia aiid OPO 590 QUWASUSD, si ink uate ese aoe TBO 5 gs 4 4 eo, Bz Oxi s 46) 6 a 6 6 “7ei, 4D kansana ... . 588, 595 JORDI 5 pg 8 381 litoralis Papas CoO). UCUILONSIS ae eu le ee OA. nevadensis . Ive ee eet) HOSSUG CTuary een eee eee eG peregrinator .. . . 589, 599 UONS Gry eo) ooo a Airey held WOlita ss esettkee 592 FULTS sr Napoan 7 fs resi ropartonee 448 procera) 22s). = » 990,603 GEOCTUIS aia re olevarye a 360 PLOPING Uae ree ae O92 gravidus amen Sore . 546 pUNciCOlISe eke = OSD KGIAUIOS 5 eGo 6 6 8 2 ABD mubicunda = Sf .242 . oC LOGCONIECU eee as rat 370 SACO xe pee emit vo ner) OOM TLOGUSLCT: «ant Nee nea - 403 SCabran wren: tyes Pee OSS ANALG See co Serse ayeale 547 Semirugosa .... . 588 THM S G5 6 5 5 5 4H, Bay sodalis). .... . . 589, 598 MISCILUS wae. halen ewe ee Spatuliter sso) 29) 0921609 mississippicus. . . . . 546 Subtilisi es ys aes O92 oObscunellUs eee 546 Subsimilisiy)- 0s) 2) specu O04 Ovipennis.. ... . . 473, 440 taphrocera . . . . 590, 605 ONALMOKAXG ewe ee 547 (HUNMMOE Ys Glee eo 592 JTAOUNCUS 6 5 ss - . . 473, 482 tumidicornis uf a OIL perforatus .. .. . . 472, 474 OUTDOOR 6 & io 6 6 a DH) FUDDCONIS ¢ 8 gs 5 5 ee BOY turgidicornis ... . 491, 607 pubipennis.. .. . . 473, 486 ursina ee re OCS MOOG puncticeps. . . 472, 479 wickhami Sigaies de OOS, pyramidalis .... . 439 VATCOSOMAME Eee ee aan eae OS ASUS ee tce ee POCO OF ]RECODACHINDAD 54g) 5G 19 oss, Ie SCUOPGUOP Voce eo be Oo BAD Rhodocanthopus. ....... 641 SOMUINTOD oo ac 5 « 403 icondeapilordanes =). 205. + 188 Sculpticeps) = 0) a 4725 479 Rimor munitus. ... . . . 641, 643 Sparsus 27.02.92 = 2 473,48 subpunctatus. . . . . 473, 483 SAGARA sy Gee a «15 LST 182 tristis tr BUA TOMO Scape lllay ayers tes Wen lee a diss 692 turbatus. . . .. . . 472, 478 SCOPOPMUS tees. i. A HRN AOD ventriculus .. . . 473, 487 SEOheLMesen eee. oA . -: .. 2S, Oo) | OLbinia Ochreosay. 1 ee O08 Lolimond eee ie) ea) eG) Simplona eae se a Popes OOO Ol CODES mes yal 20 xh ctieeh hal OO ariZonicay es OG DERG 5 5 56 8 a Boa) 6 OD) SMPSONOCINNADMOND 55 5 5 6 5 3 MyM = 6 5 Boe 5 6 5 (Ce) | SIGPIEKOOIINaeOMDIBAY 3 SOMDNUSINTID s 495 5 epee eo GUT SaeONG mono Ay 596 4 6 8 f 6 712 SIPHONOIULOIDEA . SIPHONOPHORID® SIPHONOTIDA . Smicrophus Lebet evanescens. ... . leviceps . Sognorus : Saranus imbellis ; Sosylus extensus SPIROBOLID# SPIROROLOIDEA | , Spirostrephon cexesioannulatus . cavernarum copet SPIROSTREPTID& SPIROSTREPTOIDEA STAPHYLINIDA . j STEMMATOIULIDZ... STEMMATOIULUIDEA . STICHODACTYLINE STRIARIID@ STROMBIDE... Strombus Cas STRONGYLOSOMATID® 5 STYLODESMIDZ . Syn hytodes Systenocerus . TACHYGONINI. . Tachygonus . . centralis fulvipes. . gracilipes . lecontei . rhombus. . spinipes . tardipes. . Taphroscydmus . TRACHYSTREPTIDE .. ‘Trichochrous F Trichopetalum . album bolimani. . cornutum . flavidum tuloides . lunatum : ocellatum. . unecum . Trichophya. . lativentris pilicornis . tarsalis - Trimiomelba . convexula . dubia. . leevis . Trimioplectus Trimiopsis. . me Ronee UR, —. General Index. '. 362, 467 . 467, 468 467 Nene aCe . 641, 645 633 | @ a 43 36 . . 55, 60 5} = 049 . 558, 563 564 564 564 . . 558, 572 _ 557, 560 | Trimium Triton Tritonidea TRITONIIDA. . Tritonium TROCHIDA . TYCHIINI. . Tychius inermis . suleatulus. . transversus Tychus hexagonus . pocahontas TYRINI . Tyrus. carinifer . compar . consimilis . corticinus . humeralis . semiruber . Underwoodia.. . iuloides . polygama . Veraphis. . capitata Cavicornis . . colon cristata . . impressa . . longula . scitula . VERMETID® Vermicularia Verres cavilabris . vernicatus . Vitularia Voluta VOLUTIDE Xestophus | XYLOIULIDE . XYLOIULOIDEA . XYSTODESMIDA. . ZEPHRONIID® . ZEPHRONIODESMID . | ZEPHRONIOIDEA . ZOANTHES . | Zoanthus nympheus . tuberculatus . . Zolium Zygomicrus .. Zygonopus . whitei ZYGOPINI. . . ZLygops . . 858, 563 . . 627, 629 ", 627, PAGE 699 695 699 699 703 664 664 664 665 616 615 625 627 628 627 627 627 . 627, 629 . 28, 79 ' 3188 80 . . 507, 509 510, 512 . 510, 511 . . 510, 514 510, 514 . « SLO SE 510, 511 . . 510, 513 702 702 . 641, 647 . . 641, 646 698 "691, 692 691 365 Ol Oo CO ANNALS. OF THE EMY OF SCIENCES, | | EW YORK ACAD LATE LYCEUM OF NATURAL HISTORY. _ PUBLISHED BY THE ACADEMY. (1896. OFFICERS OF THE ACADEMY, 1896-91. | Aresident. J. J. STEVENSON. Vice- presidents. H. F. OSBORN, Ree, Corresponding Secretary. — D. 8S. MARTIN. Recording Secretary. B, J. F. IE Creasurer. * CHAS. F. COX. Committee of Publication. Wek RES J. F. KEMP, ee H. F. OSBORN, N. iy. BRITTON, 2 ee D. 8S. MARTIN, WILLIAM HALLOCK. = | THOS. L. CASEY (Eprror or ANNALS). — January, 1897. Nos. 4 and 5. ANNALS OF THE y) 2 NEW YORK ACADEMY OF SCIENCES LATE LYCEUM OF NATURAL HISTORY. Heo Pork: PUBLISHED BY THE ACADEMY. 1897. OFFICERS OF THE ACADEMY, 1896-97. Arestdent, Fi | bk STEVENSON. Vice- Presidents. ‘ mies : rs H. F. OSBORN, RB. 8. WOODWARD. — Corresponding Secretary. D. S. MARTIN. Recording Secretary. J. F. KEMP. Treasurer. CHAS. F. COX. - Gommittee of Publication. J. K. REES, J. F. KEMP, ~ H. F. OSBORN, _N. L. BRITTON, | : . Ct D. 8. MARTIN, - WILLIAM HALLOOF THOS. L. CASEY (Horror or Annats). * ¢ = . 7 ~~ _ Nos. 6-12. ines i August, 1897. ANNALS | Heo Pork: PUBLISHED BY THE ACADEMY. 1897. OFFICERS OF THE ACADEMY 1891-98. . | President. See J. J. STEVENSON, Ke Pice- Presidents. erg: H. F. OSBORN, N. L. BRITTON. Corresponding Secretary. Sea WILLIAM HALLOCK. ee : Recording Secretary. : J. FL KREME, 3 - Creasurer. : a ieee CHAS. F. COX: |< 3 oe Ags Gommittee of Publication, 8 J. K. REES, “J. F. KEMP, H. F. OSBORN, __N. L. BRITTON, ‘Dp. 8. MARTIN, WILLIAM HALL THOS. L. CASEY (Eprror or ANNALS). LYCEUM OF NATURAL HISTORY. VOLUME 1X. (INDEX.) NEW YORK: 2 PUBLISHED BY THE ACADEMY. 1898. Sail RT RM see eT Ne ANNALS” OR IREE 1? The ““ANNALS,’’ published for ov Natural History, are continued under the Academy of Sciences, beginning in 1877 have now been issu 0 With the beginning of the fourth volum: change somewhat the mode of publication. | issued without Seas fefepence: to times appear as material for them shall be offered ; si as before, will contain at least 32 i oe wit! numbers, as before, whenever ee size and eo character of the parts" nor is it intended at all to reduce verage ye The ANNALS include the more extend and the Academy. The briefer papers and d disc Academy’s meetings appear in its other pu which it is designed to issue pro record of the current work of each year,-— monthly or double, Donal) and ei, ae volume. pocce of the Academy, t both » these yu ident and Ho ie the TRANSACTIONS will be $3 $3. To all others, prices will Be as | Aanals, o ae num uble or mu The Academy has for sale a time: of ba of both series, each containing twelve or volume is Five Dollars in the old | res new (Academy) series. CONTENTS. 1 Notices, VII. By THos. L. CASEY . —Coleopterologica VI —On the Modification of the Apex VII . FRANK COLLINS BAKER . Deed ae ee a 7 ee re ees a Ae . NS ie TaN ri Hi ao OR or - ah ra oe a) ] ai ae ee 4) NN Lc KES”? i, ies we be ONS peated eh res “3 ‘ees 4 Bsroiks ta ~ a” “wy 1" oe & a ip So HX _ ot J e¥ al oe i] ne er Seer || St eT Te ory ai ‘e x. 7 f ¢g Wy, i . fh OSPE gas x i. > Hae he, Sites oy , %, petra HES ae —ze oe - < LPR Pa tse * yf et ee ay, Niro SU BN . sae oe iii 3 9088 01 )