fytmll Wimvmxt^ pitatg THE GIFT OF ^an;v\jua«. ^vv^XJLtwJOuBn .43-SM-.-70Q . ... AVJinr V<0>. 7583 Cornell University Library QB 41.P97 Ptolemy's catalogue of stars:a revision III 3 1924 012 300 491 The original of this book is in the Cornell University Library. There are no known copyright restrictions in the United States on the use of the text. http://www.archive.org/details/cu31924012300491 PTOLEMY'S Catalogue of Stars A REVISION OF THE ALMAGEST BY Christian Heinrich Friedrich Peters, Ph. D. / Director of Hamilton College Observatory FormeAy Litchfield Professor of Astronomy at Hamilton College Foreign Associate of the Royal Astronomical Society Member of the Legion of Honor AND Edward Ball Knobel Treasurer and Past President of the Royal Astronomical Society The Carnegie Institution of Washington 1915 >? /e4^ > PTOLEMY'S Catalogue of Stars A REVISION OF THE ALMAGEST BY Christian Heinrich Friedrich Peters, Ph. D. Director of Hamilton College Observatory Formerly Litchfield Professor of Astronomy at Hamilton College Foreign Associate of the Royal Astronomical Society Member of the Legion of Honor AND Edward Ball Knobel Treasurer and Past President of the Royal Astronomical Society The Carnegie InsVitution or Washington 191S 5 \^5^J00 CARNEGIE INSTITUTION OF WASHINGTON Publication No. 86 PRBSS OF GIBSON BROTHERS WASHINGTON ^ CONTENTS. Page Preface 1-5 Historical 6-15 Errors of Ptolemy's longitudes 16-17 List of manuscripts collated 18 Notes on the manuscripts I9~23 Errors in manuscripts 24 The Catalogue 25-26 Catalogue 1 27-50 Catalogue II 5 1-73 Catalogue III 74~9S Notes to the Catalogue of Stars 96-1 13 Table of differences of identification 1 14-1 19 The star magnitudes 120-143 Notes on the star magnitudes 144-150 Collations of manuscripts — Longitudes 1 52-179 Collations of manuscripts — Latitudes 180-207 ILLUSTRATIONS. Plate I. Portrait of C. H. F. Peters Frontispiece Page. II. Photograph (C) of Paris Codex 2389, IX Century Facing 24 III. Photograph (C2) of Paris Codex 2389, IX Century 24 IV. Photograph (D) of Vatican Codex 1594, IX Century 24 Fig. I. Diagram of Errors in Ptolemy's Catalogue 6 2. Facsimiles from Various Manuscripts 24 3. Photograph of Venice Codex 313 96 4. Chart of the position of Ptolemy's Star, 17 Eridani 109 iii PTOLEMY'S Catalogue of Stars A REVISION OF THE ALMAGEST BY Christian Heinrich Friedrich Peters, Ph. D. AND Edward Ball Knob el t- e- PREFACE. The following work embraces the results of the whole of the long and labo- rious researches of the late Dr. Christian Heinrich Friedrich Peters on the Cata- logue of Stars in Ptolemy's Almagest. Some account of this investigation, which he began about the year 1876, will be found in the opening pages. Quite unknown to each other, I had myself taken up the same subject in 1876, but it was not until a few years later that some communications I made to the Royal Astronomical Society brought Dr. Peters into direct correspondence with me, and on learning that he was engaged in the same investigation of Ptolemy's Catalogue of Stars, I offered to place all of my materials at his disposal, and accordingly I sent him, for his free use, the collations of all the manuscripts I had made. These had been prepared with rather an undue amount of labor, as being closely engaged in manu- facturing business far from London, it was only on rare days that I could visit the British Museum and other public libraries. When Dr. Peters and myself met in Paris in April 1887, we had some long conversations on the subject. He told me he did not intend to visit England, and it was agreed that I should investigate all the sources of information possessed in the libraries there, and I particularly undertook to examine the Greek Selden Alma- gest at Oxford, and several Arabic manuscripts, and send him the results. In this and the following year many letters and discussions passed between us. In a letter dated August 14, 1888, received by Dr. Peters August 25, I asked what steps he had taken towards publication, and considering the contributions I had made from the manuscripts in this country, I asked "How far he would like, and would think it right, that my name should be associated with his as a joint author?" But I assured him "I was quite single-minded in the matter, and that my interest was removed from any idea of a personal character." This letter remained unanswered, probably because no steps had been taken towards preparing any part of the work for publication. On July 18, 1890, Dr. Peters died. It is unnecessary here to give an account of his life, which has been so fully dealt with in the addresses delivered on that occasion by Dr. Isaac H. Hall and Professor Oren Root, and in the pages of the monthly notices of the Royal Astronomical Society. On September 3, 1890, 1 addressed a letter to the executors of Dr. Peters, asking to be informed in what state his work on the Almagest remained with reference to publication, and requesting that the manuscripts might be sent to me to complete, and on November 9, 1891, all of his manuscripts and notes relating to this work, with some important exceptions, were sent to me. The various subjects and sections of the investigation were each contained in a separate envelope. These were at once marked by letters and have been preserved in that state to the present day. 3 4 Ptolemy's Catalogue of Stars. The following is the schedule : Cahier A. Ulugh Beg. Collations and notes on various manuscripts by Peters and Knobel. B. Aboul Hhassan. Notes and comparisons of his catalogues, all in pencil. C. Collations of Greek, Latin, and Arabic manuscripts by Knobel. D. Ptolemy's Catalogue of Stars. Final places with variants in 28 authorities, and comparison of the catalogue with modern observations. E. Rough-draft catalogue of which revised copy is contained in D. F. Reductions of the right ascension and declination of all stars to longitude and latitude. G. Collations and notes of 24 manuscripts by Peters and 4 manuscripts by Knobel. H. Translations of 6 chapters of the Almagest from Greek into German, minute German script in pencil. I. Calculations and notes. on various catalogues, all in pencil. J. Computation of proper motions; and comparison of the zodiacal stars in the Almagest with modern observations. K. Comparison of Ptolemy's and other magnitudes with Harvard Photometry, all in pencil. The examination of the manuscripts made it at once apparent that no prepar- ation whatever had been made for publication. All the collations of manuscripts, notes, tables, and computations, were in very minute, close writing, and much of it in pencil, necessitating the copying out of most portions of the work for study, and in form for printer, involving much labor. Many notes were written in minute German script which have been troublesome and unduly expensive to translate. Among others are found several chapters from Books III, V, and VII of the Almagest, written in pencil in minute German script, being translations by Dr. Peters from the Greek into German, which have proved very difficult to decipher. No assistance towards the expense involved was obtainable in this country, and it seemed highly improbable that any society would undertake the publication of the work in the complete form which I considered indispensable. What to do under these circumstances has been a source of great anxiety. On June 6, 1899, I met Professor Simon Newcomb in London, when he at once said he wished to see me about Dr. Peters' manuscripts. We adjourned to my club and discussed the matter fully for over half an hour. I explained my difficulties about publication and proposed that the work should be published in the United States. Professor Newcomb, referring to the Arabic and Greek, expressed a doubt whether they had the necessary type. No suggestion, however, was made for carrying out my proposal. I need only add that many years ago I made provision in my will that, on my death, the whole of the manuscripts and researches should be sent to the National Academy at Washington. The present work is limited to the investigation of Ptolemy's Catalogue of Stars, but Dr. Peters also took up the question of Ulugh Beg's Catalogue, and for that purpose he collated several Persian manuscripts. I have added to this by collating all the Persian manuscripts of Ulugh Beg and the Arabic manuscripts of Al Sufi to be found in this country. This it is hoped to publish in the future as a separate memoir. It has been my object to make this investigation as exhaustive as possible, but where so much material has had to be examined, analyzed, and checked, and where the whole work has had to be done single-handed, it is hardly possible to Ptolemy's Catalogue of Stars. 5 avoid some mistakes. The present investigation has shown how prone are all copyists to make mistakes; every care has been taken, and I can only hope that no very serious errors will be found. I desire to record my obligations to the late Earl of Crawford, for kindly lending me the very valuable manuscript of the Almagest in his library; to the late Mr. Nicholson, Bodley's Librarian at Oxford, for the exceptional favor of sending the Bodleian Arabic Almagest to London for my examination; and to the late Dr. Rieu, Keeper of Oriental Manuscripts in the British Museum, for much valuable assistance. I am much indebted to Prof. H. H. Turner for his kindness in supervising the reduction of the star places to the epoch B. C. 130. I desire to express my gratitude to the Hon. Elihu Root, to Professor E. C. Pickering, and to the Executive Committee of the Carnegie Institution of Wash- ington, for their sympathy and interest in the work of the late Dr. Peters, and for the generosity which has now enabled his laborious and exhaustive researches on the most ancient Catalogue of Stars we possess, to be added to astronomical literature. E. B. Knobel. 32 Tavistock Square, London, W. C, October IQ14. .+26'_ n © 2 V 4 r ) e n 8 r 1 r 10 1 V 1 1 Z r 2 r to 2 2 r a r 3 10 3 r rr 340 Tl ( r 2 r A r T 60 8 f (L '"S r = - 1 > ' .' •, > ' r ; .+ 15'. T / k ) / ) , 'l f. / • 1 / ■•• :• ..' .+ »'. ^ / > \ ,< r s r ( s i ' ) •. \ ] : / ^ / t ,' .+ S'. : - / ; ^ 4 / 1 • / ', ; , ; — 0- / / I ; ] \ ; / \ ' ; 1 .-5'. \ 1 . \ / ;• ; \ / : i ' 1 — 10'. : -^ 1 J rs _' ^ f , y .*i V ■( ... .- / ^ Tfi fit '. ••■ / n, 'ii fji ■' y • is: ^ ,,•■ •. ^ \ ..' ■ t _20' <• Fig. I. — Diagram (referred to on page 8) showing the errors in longitude and latitude of Ptolemy s Zodiacal Stars computed for the Epoch A. D. lOO. HISTORICAL. The Catalogue of Stars contained in the seventh and eighth books of Ptolemy's Mey d\ri Swra^is, commonly called The Almagest, must always be considered of unique interest. It is the first and most ancient document we possess which gives a description of the heavens of sufficient exactness to admit of comparison with modern observations. For many centuries it was held in the highest repute, and indeed, until the time of Tycho Brahe it was practically the only source of infor- mation of the positions of the stars which the world possessed; for though in the fifteenth century Ulugh Beg prepared a much more accurate catalogue of Ptolemy's stars, it never came into general use. Ptolemy's catalogue has accordingly been the subject of many researches and investigations. Up to the present time six editions of the catalogue have been printed in Greek, viz.: Grynaeus, Halley, Montignot, Halma, Baily, and Heiberg; also several editions in Latin, particularly those of Trapezuntius, Schreckenfuchs, and Flamsteed, translated from the Greek; those of Liechtenstein and Copernicus, translated from the Arabic by Gerard of Cremona, and the Alfonsine Tables, also translated from the Arabic. The translation into French from the Arabic of Abd Al Rahman Al Sufi, by Schjellerup, is simply Ptolemy's catalogue for a diff^erent epoch; and recently an edition of the Almagest has been published in German by Dr. Karl Manitius. Dr. Peters began his study of Ptolemy's catalogue probably in 1876 or the early part of 1877. In the latter year he wrote:* "A close examination of the exactitude of the catalogue of stars by Hipparchus, transmitted to us by Ptolemy, has never yet been made. Flamsteed, Lalande, and Bode have contented them- selves with a merely superficial comparison of the separate positions of the stars. By happy con- jectures Baily has corrected several of the figures which had been corrupted in the manuscripts; and for this same purpose a comparison will be found useful with the catalogue of Al Sufi, which is formed from the catalogue of Ptolemy by the addition of a constant to the longitudes. Neverthe- less, many stars are left, the identification of which has not been possible or is doubtful. But if we wish to compare the condition of the starry sky at the time of the ancients with the present day, if we desire to recognize what has really changed in the sky during the last two thousand years, it is above all things necessary to know in how far a position of Ptolemy could be in all prob- ability faulty."t Dr. Peters was not content with the wealth of material offered by those editions of Ptolemy's catalogue which up to his time had been printed, and so, about the year 1883, he determined to investigate, as exhaustively as possible, all the various manuscripts containing the catalogue of stars which might exist in the libraries of Europe. In February 1884 he wrote: "During a journey made in Europe within the last few months, an opportunity was given me of examining in various libraries *Ueber die Fehler des Ptolemaischen Steinverzeichnisses. Vierteljahrsschrift Ast. Gesell. 1877. fCf. Pliny (A. D. 77) Nat. Hist., Lib. II, cap, 26. "Hipparchus .... discovered a new star that had appeared in his own age and, by observing its motions on the day on which it shone, he was led to doubt whether it does not often happen that those stars have motion which we suppose to be fixed. And the same individual attempted what might seem presumptuous even in a deity, viz. : to number the stars for posterity and to express their relations by appropriate names; having previously devised instruments by which he might mark the places and the magnitudes of each individual star. In this way it might be easily discovered, not only whether they were destroyed or produced, but whether they changed their relative positions, and likewise whether they were increased or diminished; the heavens being thus left an inheritance to anyone who might be found competent to complete his plan." 7 8 Ptolemy's Catalogue of Stars. the manuscripts of the Almagest which they contained." He began his investiga- tions at Vienna, proceeding thence to Venice, Florence, and Rome. No further examination of manuscripts was made by him till the year 1887, when, taking advan- tage of a visit to Paris to attend the International Astrographic Congress, he then collated the important Greek manuscripts found in the Bibliotheque Nationale. The manuscripts he examined are given in the Table of Manuscripts Collated. The investigation of Peters differs from all those hitherto made, for in order to assist in the identification of the stars, and to determine the actual errors of their positions, he began by calculating from modern observations the longitudes and latitudes of all of Ptolemy's stars, using for this purpose Piazzi's catalogue reduced to the epoch he assumed of A. D. 100, rather than to the epoch Ptolemy gives, which is the first year of Antoninus Pius, A. D. 138. These lengthy and laborious computations finally embraced every probable star near Ptolemy's places, corrected as far as possible for proper motion. / In his paper cited above, Peters compares 349 of Ptolemy's zodiacal stars, taken from the printed editions, with their computed positions for A. D. 100, and he arrives at the conclusion that the equinox requires a correction of -|-34'.9, equal to a precession of 42 years. He also deduces that the errors in longitude as well as in latitude give evidence of considerable periodicity. He illustrates this with a diagram,* and says: "It will be seen that the curve of errors in longitude has its chief maximum close to 180°, and its chief minimum near to 0°: the curve of errors in latitude has a maximum near to 140°, and a minimum near 320°." And he adds that "the conclusions arrived at from this as to the faulty erection of the instrument, and the position of the axes and circles of the armillary sphere which was used, will be seen more clearly when the comparison has been further extended to the stars outside the zodiac," but he did not pursue this interesting inquiry in that direction. Dr. Peters brought into the whole investigation of Ptolemy's catalogue a rare ability, which it would be difficult to equal. Besides a fluent acquaintance with most European languages, he had an excellent knowledge of Greek, Latin, Hebrew, Arabic, Persian, and Turkish; and to these qualifications he added a high mathematical power and a facility and accuracy in computation which can only be fully appreciated by the examination of his papers. It is truly said that he was wonderfully swift in his perceptions, and this penetrating acumen is visible in the notes he made whilst collating and discussing the various authorities. Every manuscript was studied with scrupulous care, and every point of doubt investi- gated exhaustively. Nothing escaped his acute examination, and it is to be deplored that he was not spared to complete the publication of labors in which he had shown himself so preeminent. Of the writer's share in the investigations contained in the present volume, it may be mentioned that in 1876 he first came to the determination of collating as many manuscripts as possible of Ptolemy's catalogue in order to obtain a more correct edition than we possessed. He commenced the work by the publication in *Reproduced on page 6. Ptolemy's Catalogue of Stars. 9 1876 of the Catalogue of Aboul Hhassan, which consists of 240 of Ptolemy's stars reduced to A. D. 622;* followed in 1879 by the collation of a Persian manu- script of Ulugh Beg.f In 1881 he collated three Latin manuscripts of the Almagest and the important Arabic Almagest in the British Museum, foHowed in 1885 by the collation of the Arabic Almagest contained in the Bodleian Library at Oxford, which Bodley's librarian had kindly sent to London for his investigation. Various other manuscripts were subsequently collated, and the whole of the material thus obtained was sent to Dr. Peters, and was discussed and used by him in the result- ing catalogue. The manuscripts collated, together with some examined since Dr. Peters' death, are given in the Table of Manuscripts. One or two manuscripts of the Almagest are said to exist at the Escurial and at Toledo, but it has not been possible to examine them. It may be safely asserted that no correct copy of Ptolemy's original cata- logue exists in any manuscript, and where all codices contain so many errors it is difficult to say which copy is the most reliable. The centuries that elapsed between Ptolemy's period and the oldest manuscripts known have resulted in numerous errors in the longitudes and latitudes of the stars, due to the scribe, who was either careless or ignorant of what he was writing. Errors in the description of the stars would be very rare, as the scribe would understand the words, but in copying the letters signifying the figures of longitude and latitude he would have nothing whatever to guide him as to their correctness. The original catalogue was doubtless written in the uncial Greek characters of the second century, for it is improbable that such a work would be written in cursive Greek. The form of the early uncial Greek letters suggests an explanation of some errors not so available from consideration of the Paris Codex 2389 and the Vatican Codex 1594, both of the ninth century. The majority of the errors found in the longitudes and latitudes of the stars must be ascribed to the early writing. All other Greek manuscripts are written in minuscule letters which first came into use only in the ninth century, and some errors may be due to this form of writing. The most common error in all manuscripts is that of confounding the uncial Greek letters alpha A=i and delta A = 4 (see Facsimiles). In the Table of the Collations of Manuscripts, examples of this error in all codices will be found in the longitudes of 44 stars and the latitudes of 36 stars. As such errors appear also in the Arabic codices, it would seem that they existed in the Greek used by Al Mamon for his translation about A. D. 827. Errors are found also from confusion between the alpha A=i and the lambda A = 30; such errors in Nos. 766 and 767 have been repeated by Grynaeus and Halma, also errors of the lambda for the delta. On reference to the photograph of the Paris Codex 2389, the possibility of such confusion will be seen in the longitude and latitude of the twenty-second star of Ursa Major, which is not the case in the photograph of the Vatican Codex 1594. Another common error is mistaking the epsilon € = 5 for theta © = 9, of which examples will be found in many manuscripts, in the longitudes of 12 stars, and the ♦Chronology of Star Catalogues. Mems. R. A. S., vol. XLIII. fMon. Nots. R. A. S., vol. XXXIX. lo Ptolemy's Catalogue of Stars. latitudes of 5 stars. In the Greek uncials of the second century these letters were circular in shape, with little difference between thick and fine strokes (see Fac- similes), and the opening in the epsilon for the cross-stroke was narrow; thus confusion between the two letters was very probable. About the ninth century the kappa K = 20 began to be written with the angular part of the letter removed from the vertical stroke. (See Facsimiles and the photo- graph of Venice Codex 313.) The effect of this was that the angular part was taken to be the character for ^juktu = |. Thus we find in most Greek manuscripts instances (Nos. 179, 277, 441, 572) where Kr' has been taken to be 20°| = 20° 20', instead of I = 10° < =| r'=|= 10° 50'. This is the explanation of the two read- ings of the latitude of No. 572 in the Paris Codex 2389. Another error found in some manuscripts, particularly the Vatican Codex Reg. 90, and the Bodleian Codex 3374, where the minuscule i/ = 50 is written for the t; = 8 or vice versa (which in form are quite dissimilar), is derived from the uncial letters, which sometimes closely resemble each other. This appears in the photograph of the Paris manuscript 2389, in the latitude of the eighteenth star of Ursa Major, where the uncial v may easily be taken for the uncial 17 = H, but not so in Vat. 1594. The above sources of difficulty in determining the probable original figures apply mainly to the degrees of longitude or latitude. As is well known, the min- utes are always represented in Greek as fractions of a degree, where the significant letter with an accent expresses the denominator of the fraction. Innumerable errors occur from the omission of the accent, which then converts the letter into a whole number, affecting the degrees. Examples are given in the Facsimiles. The origin of the sign iov rini.(Tv = \ is rather obscure. As is seen in the Facsimiles, it takes various forms, becoming in later manuscripts and in printed Greek a form closely resembling the stigma s-. One feature should be mentioned upon which Dr. Peters held a decided opinion, but which the writer finds it difficult to accept : The Greeks usually represented 40' by f^ or ^3=^, the o in the first case being simply a contraction for j8. They represented 50' by the combination of \-\-^. But in several Greek manuscripts is found the combination of 4^+tV=4o' (see Facsimiles). Dr. Peters thought that this should be read as \, with variant ^o^. But in no case is it written as all other variants yet noted, where the variant is always written above, or in the margin, or with some separation; and as this expression is found in so many manuscripts, it seems more probable that the characters should be read as a combination, and so they have been taken in the Table of Collations. For nearly three centuries the only available edition of the Almagest in Greek was that published at Basel by Grynaeus in 1538, but great uncertainty exists as to the manuscript he used. It is stated that the manuscript belonged to Regio- montanus, to whom it was given by Cardinal Bessarion, and that it was deposited at Niirnberg. No Greek manuscript of the Almagest exists at Niirnberg. Dr. Peters investigated the work of Doppelmayer {Histor. Nachricht. von der Niiren- bergischen Mathematicis und Kiinstlern, Niirnberg, 1730), on which he made several notes. It appears that Regiomontanus devoted considerable study to the Almagest and to the other works of Ptolemy, and particularly to the commentary of Theon, Ptolemy's Catalogue of Stars. ii all of which he found in Rome in the original Greek. Bessarion presented to him the manuscript of Theon, which contained the following inscription in the Cardinal's writing: "Theonis in Ptolemaeum liber meus Bessar. Cardin. Tuscul.," under which Regiomontanus wrote "nunc Johannis de Regiomonte." Doppelmayer states that Bessarion valued the Almagest so highly that he would not have exchanged it for a province, and he adds that this is attested by Camerarius in the dedication which he placed at the commencement of the Almagest printed at Basel in 1538 (Grynaeus edition). On this point Doppelmayer is in error, for the dedication of Camerarius is to the commentary of Theon, and not to the Almagest. In the year 1450 one or two Greek codices of the Almagest had been found in Greece and brought to Rome. The first translation of them was made by Georgius Trapezuntius about 1460, subsequently published at Venice in 1528; this translation was not considered very correct, and Regiomontanus undertook a new translation, which, however, was never printed. When Regiomontanus died in Rome, July 6, 1476, Walther bought all his library and works and refused to allow any of the manuscripts to be printed or any inspection of the works. After the death of Walther, his library was dis- persed, except a portion which was bought by a magistrate at NUrnberg. The work given by Cardinal Bessarion to Regiomontanus was clearly the commentary of Theon, and there is no reliable evidence that Bessarion gave him a copy of the Almagest, which "he would be unwilling to exchange for a province." Doppelmayer states that Camerarius (real name Liebhard, born 1500, died 1574) caused the Commentary of Theon to be added to the Almagest of Ptolemy in the edition published by Grynaeus in 1538, "after the codex of Regiomontanus," presumably the codex of Theon. The only further material evidence on the question is found in Montignot {Etat des Etoiles Fixes au second siecle par Claude Ptolemee, Nancy, 1786). He says: "The manuscript of the work of Ptolemy is an original document, carefully pre- served in the library of NUrnberg. It was brought from Greece by Cardinal Bessarion, after the siege of Constantinople." (A. D. 1453.) "I ought to state that I had requested M. Moers to supply, from the manuscript of Niirnberg, some omissions of the catalogue, and to verify some longitudes which lead me to suspect mistakes of printing. I have followed very exactly the print of the Greek edition Basel 1538." Dr. Peters remarks: "As in the edition of Grynaeus the latitudes of 15, 16, and 17 Ophiuchi are missing, and also the longitude and latitude of 21 Tauri, why did not Montignot supply them from the manuscript ? The notes of Montignot about the manuscript said to be existing in Niirnberg must be regarded with dis- trust. Who was M. Moers? In the edition of Montignot there are absolutely no sure signs of a correction of the edition of Grynaeus after an original manuscript." Delambre considered Montignot's edition "peu exacte." The M. Moers referred to is no doubt Christophorus Theophilus de Murr, who in 1786 published at Nurnberg a work entitled "Memorabilia Bibliothecarum pub. Norimbergensium." This work is not in the British Museum, but a copy exists in the Bodleian with manuscript notes by the author. It is quite clear that he men- tions no manuscript of the Almagest at Nurnberg. The manuscript of Theon's 12 Ptolemy's Catalogue of Stars. commentary on the Almagest, which he describes, has the following sentences: "ToO Gewj'os €is Trjv fieyaXriv avvTa^iv Bt/3Xos e/xou ^rjaaapiuvos xap5i»'aXi6s rod rSiv rovaKKuv." "Theonis in ptolemaeum liber meus b. Card. Tusculani, nunc loannis de regiomonte. Donaverat nimirum Bessarion Regiomontano codicem." From the description by Zanetti (Graeca D. Marci Bibliotheca) of the Venice Codex 310, which bears the autograph of Cardinal Bessarion, it has been considered that Grynaeus based his edition on this manuscript. This is open to doubt, inasmuch as in this Venice Codex 4 is always represented by gamma over beta, and never by gamma alone or beta alone, as in Grynaeus. The oft-repeated statement that Grynaeus based his edition on a manuscript given by Bessarion to Regiomontanus and deposited at Niirnberg is due to an erroneous reading of the above Greek sentence, which refers only to Theon's commentary. In the Grynaeus edition the whole number 3 is given by 7 or r. The use of the character f is twofold. Throughout the work it represents ^=20', but from the commencement to the end of Sagittarius (with the exception of the 15th star in Bootes) it also represents | =40'. From Capricornus to the end, t=4o' is repre- sented by jS'. In the Paris Codex 2389, | is represented by r'jS or r'o, where o is an abbreviation for /S. This is in conformity with the manner of expressing fractions by the Greeks, viz., to write the denominator as an exponent. Thus, for example, in Archimedes, ^ is expressed by 0'% the numerator below the denominator. In our case f is conformable to^'^' or in uncials ^f or more simply f/ finally r^. The Paris Codex Graecus 2394 exhibits many points of resemblance to the Grynaeus edition. This manuscript is a copy, made in 1733 for the Bibliotheque du Roi, of a thirteenth century manuscript at Constantinople belonging to the Prince of Walachia, apparently afterwards destroyed by fire. The Paris manuscript has all the errors of print in Grynaeus, but it has some omissions and it also gives some latitudes (248-250) which are wanting in Grynaeus. It is significant that f is represented in the first part of the catalogue by 7', and from Capricornus to the end by jS', precisely as in Grynaeus. This offsets a strong probability that the manu- script used by Grynaeus and the archetype of Paris 2394 had the same origin. The Latin manuscripts are of less importance, though the translation from the Greek by Trapezuntius elucidates several doubtful points. It is uncertain which was the actual Greek manuscript used by Trapezuntius; it is stated to have been a copy of a Greek manuscript in the Vatican. The remaining Latin manu- scripts are all copies of the translation from the Arabic by Gerard of Cremona, and may best be considered in connection with the Oriental codices. The principal error in all Latin manuscripts of the Middle Ages is confounding the figures i and 2, which sometimes are identical. The Arabic manuscripts are especially valuable for comparison with the Greek, as the errors are of a different kind. Unlike the Greeks, who wrote the minutes of longitude and latitude in fractions of a degree, the Arabs wrote the minutes in figures, and thus these two different methods form a valuable check one on the other. In numerous cases where the Greek reading is vitiated by the omission of an accent, the correct value is found in the Arabic sources. Ptolemy's Catalogue or Stars. 13 Two different and independent Arabic translations from the Greek are known: First, that of the British Museum Codex 7475. This is written in a very cursive character with a lamentable neglect of diacritical points, rendering it difficult to decipher. It is not written in the Maghribi or African character, but clearly it has been derived from a manuscript in that character. Secondly, that of the codices Bodleian 369, Laurentian 156, British Museum Reg. 16, and the manuscripts of Al Sufi, which are all from the same source, generally recognized as the trans- lation from the Greek made by Al Mamon about A. D. 827. These manuscripts are written in the character called Neskhi, and in considering the probable errors of their texts it should be borne in mind that Neskhi, which is the ordinary form of Arabic writing, was only invented about the beginning of the fourth century of the Hejira = A. D. 912. Consequently the original translation of Al Mamon was probably in Cufic Arabic, and rewriting this into Neskhi would give an opening for very many errors. This adds a further difficulty to the problem of arriving at Ptolemy's original catalogue. In the year 1887 Dr. Peters thus expressed to the writer his views on the value of the Arabic manuscripts : "On the whole the Arabic sources agree all pretty well together in the figures of Ptolemy's cata- logue. The Arabs were altogether much more accurate than the Greek scribes, so that I am able to reconstruct the version of Al Mamon's copy almost without doubt. We must try to reduce all that has come down to us of the catalogue of the Almagest to two sources: (i) the direct Greek tradition; and (2) the Arabic, which represents the copy of certainly high antiquity that Al Mamon brought home and had translated. We know that there were two translations of the Almagest made at Baghdad,* or that the first reduction was revised and improved upon several years later. This may account for some of the variants that are sustained, from both sides, by more than one of the sources of Arabic origin: I mean variants that do not come from the very frequent mistakes of the diacritical points." The most common error in Arabic manuscripts is the omission of a diacritical point: thus the numbers 10 and 50 in combination differ only by a point; e. g., ^ = 18 and -i' = 58. Many such mistakes will be found in the manuscripts of Gerard of Cremona. Another common error is confusion between the Jeem ^ = 3 and the Ha ^ = 8, which seems to be due to the omission of a point, but in none of the manu- scripts examined is the ^ = 3 written in a form resembling the ^ = 8, and it is more probable that the error may be traced to the Cufic original, where both letters are written exactly alike without any point. The letter Ya i_s= 10, when signify- ing ten, is most frequently written in the pure Cufic form. Confusion also occurs between the letters Ta iss» = 9, and Kaf ' , = 20, possibly due to the original Cufic letters here shown, which might easily be confounded. In the British Museum Codex 7475 there are several mistakes between 3 and 4, which in some writing might easily be made, and it is clear that the scribe was sometimes doubtful which was correct, as in those cases he has written both letters; and in the same manuscript there are several mistakes of 10, 30, and 50 in combination; the absence of the point making 10 and 50 alike, and writing the Lam J = 30 rather short makes it indis- tinguishable from either. In all manuscripts there is frequently confusion between *The first by Abu Jafar Almansur (ob. A. D. 77s), the predecessor of Harun Al Rashid, and the second by Al Mamon (ob. A. D. 833), who was the son of that celebrated Khalif. 14 Ptolemy's Catalogue of Stars. the letters Za j = 7 written without a point, and Waw j = 6. Examples of all these errors will be found in the Table of Collations, and it will be noted that such mistakes are quite different to those that occur in Greek.* A curious series of mistakes, which appears to have escaped notice, is found in all manuscripts of Gerard of Cremona (A. D. 1114-1187), which were almost cer- tainly made by him, and not by the copyist. The latitudes of i star in Ursa Minor, 5 in Draco, 8 in Cepheus, 9 in Hercules, 6 in Lyra, and 6 in Cygnus — that is to say, all stars of true latitude 60 and odd degrees — were all written as 300 and odd degrees. In some manuscripts a more recent scribe has altered these latitudes by erasure. It is not difficult to find an explanation. In all probability Gerard of Cremona learned his Arabic from the Moors. In the Maghribi or African numerical value of the letters, the letter Sin 0^ = 300, but in the Neskhi or usual Arabic, that letter = 60. The inference is that Gerard of Cremona used a manu- script from the East; that he was ignorant of the fact that the numerical value of the letters differed from that of the Moors or Western Arabs,t and had not sufficient knowledge of the subject to detect the gross mistake in the latitudes. t The edition of the Almagest printed by Liechtenstein in 15 15 is the translation of Gerard of Cremona in which these errors are corrected. Daily's investigation of Ptolemy's catalogue (Memoirs Royal Astronomical Society, Vol. XIII) is limited to the printed editions of the Almagest, which he most carefully examined, and his notes on these editions and his identification of the stars are of great value and assistance. All references in the present work are to the ordinal numbers of his catalogue. Ptolemy's Catalogue of Stars has been very fully discussed by Delambre, who has pointed out the error in the latitude adopted for Alexandria and the defects in the position of the armillary sphere employed, and he has also remarked on the neglect of the influence of refraction; so that it is only necessary to refer to the valuable appendix he contributed to Halma's translation. Colonel Drayson§ has discussed the method of observation adopted by Ptolemy, which he assumes as measuring the difference of longitude, first between the sun and the moon, and then that between the moon and the star. In the case of either of these bodies being near the horizon, he shows how it would be possible to introduce errors in the longitudes of the stars of as much as 1° due to the neglect of the influence of refraction. One interesting feature was remarked by Dr. Peters, viz. : that the instru- ment used for the longitudes of the original catalogue was graduated differently to that used for the latitudes. With three exceptions, all in the constellation Virgo, *Professor Nallino, in his important and exhaustive work on the "Opus Eastern. Western. Astronomicum " of Al Battani, has fully discussed the mistakes he found in g translating the Arabic manuscripts of that author. \yj^ U^ fThe difference between the numerical value of letters with Eastern and go ^ ^ Western Arabs is as shown in the table at the right. ^ ^ JRoger Bacon (A. D. 1214-1292) wrote: "Though we have numerous 300 * translations of all the sciences by Gerard of Cremona, Michael Scot, Alfred ^^ J7 the Englishman, Hermann the German, and William the Fleming, there is °°° 1^ ^ such a falsity in their works that none can sufficiently wonder at it. " " " _^ \- Not one of these translators had any true knowledge of the languages or of 9 the sciences." 1000 A * §Monthly Notices, Vol. XXVIIL t 'w^ Ptolemy's Catalogue of Stars. 15 the minutes of longitude are either 10', 20', 30', 40', or 50'; whereas in the latitudes there are 144 stars where the minutes are either 15' or 45', clearly indicating a difference in the graduation of the instruments. It is not, however, at all clear from Ptolemy's description how his instru- ments were used, and it is needless to inquire very closely into that question, if the views of Delambre, Peters, and the writer are substantiated, that the cata- logue is that of Hipparchus transmitted to us by Ptolemy. Dr. Peters made some calculations of the position of stars for B. C. 200, rather before the time of Hip- parchus, but quite incomplete. In Catalogue III will be found the whole catalogue reduced to the epoch of Hipparchus B. C. 130, by deducting 2° 40' from Ptolemy's longitudes, being the difference which Ptolemy states he found between the longi- tudes of Hipparchus and those of his time, and leaving the latitudes unaltered. The catalogue thus reduced is compared with modern observations computed for the epoch of Hipparchus, and a subsidiary table (Table I) is added, showing the average errors in the longitudes for the two epochs A. D. 100 and B. C. 130. In the construction of this table stars of very uncertain identification and those with large errors in longitude or latitude are omitted. Notwithstanding Ptolemy's statement that he "observed as many stars as it was possible to perceive, even to the sixth magnitude," it will be seen that the above evidence confirms the theory that the catalogue is in all probability that of Hipparchus reduced by the addition of a constant to the longitudes, and retaining his original latitudes. The descriptions of the stars were probably amended by Ptolemy. Reference has been made to Dr. Peters' early paper on the errors of Ptolemy's catalogue, and to the results which he derived from the printed editions of the Almagest. As many of the figures differ from the finally adopted catalogue now submitted, a new table of the mean errors of zodiacal stars has been made (Table II), and for comparison is appended the mean errors of the same stars for the epoch of Hipparchus B. C. 130 (Table III). It will be seen that all the inferences- drawn by Dr. Peters in his original paper are not affected. The comparison of the longi- tudes of zodiacal stars only for A. D. 100 shows a mean error of +34'.9, equivalent to 42 years, making the true epoch of Ptolemy's Catalogue A. D..58, which is not very dissimilar to A. D. 63 adopted by Bode. The year A. D. 58 is 187 years after the epoch of Hipparchus, which gives a difference of precession of 2° 36', agreeing closely with the difference 2° 40' which Ptoleniy states he found between the longi- tudes of Hipparchus and those of his time. It is clear that his correction to Hip- parchus could not represent observed positions in A. D. 138, and the conclusion is obviously in support of the view that the catalogue is simply that of Hipparchus modified by a constant added to the longitudes. i6 Ptolemy's Catalogue of Stars. Table I. — Comparison of the average errors of the longitudes in Ptolemy's Catalogue for the assumed epoch A. D. loo, and the errors of Ptolemy s longitudes - 2° 40' for the epoch of Hipparchus B. C. 130. Constellation. No. of stars. Mean latitude. A.D.ioo. B.C.130 Longitude, average error. Error X cos. lat. A. D. 100. B. C. 130 Northern. Ursa Minor Ursa Major . . . Draco Cepheus Bootes Corona Borealis. Hercules Lyra Cygnus Cassiopeia Perseus Auriga Ophiuchus .... Serpens Sagitta Aquila Delphinus Equuleus Pegasus Andromeda Triangulum .... Zodiacal. Aries Taurus Gemini Cancer Leo Virgo Libra Scorpius Sagittarius Capricornus. . . . Aquarius Pisces Southern. Cetus Orion Eridanus Lepus Canis Major Canis Minor. . . . Argo Navis.. . . Hydra Crater Corvus Centaurus Lupus Ara Corona Australis Piscis Austrinus. 35 31 13 22 8 27 10 16 II 27 10 27 14 S 12 8 4 20 23 4 335 17 41 20 II 31 27 17 24 25 27 42 33 18 38 26 II 26 2 29 24 7 7 24 17 om. 13 II +72 35 +37 36 +78 48 +66 7 +44 16 +46 56 + 56 41 + 58 42 + 57 8 +48 + 25 + 18 38 + 14 " + 24 36 +38 56 +26 20 +30 45 +23 + 25 +31 + 1 7 14 2 2 21 18 51 +5 — 2 +0 31 o o +4 45 + 3 + 1 -9 — 2 — o -4 32 43 53 35 24 43 II 26 +4 39 -18 16 -18 41 -34 58 -39 36 -48 52 -14 42 -54 12 — 20 23 — 17 2 — 16 29 -26 55 — 22 4 ■17 5 19 21 87.0 49.2 143 -4 49.6 57-4 66.5 76.5 97.1 23-3 67.8 43.3 33-2 S7-0 56.5 53-4 57-5 27.2 40-5 35-9 26.0 18.2 26.9 30.8 32.1 43-4 41.9 47-7 46.9 46.2 45-2 193 32.2 26.0 16 26 13 24 30 38 59 40 39 42 66 51 47 22 88.5 28.6 1339 41 5 35-0 35-2 SI. 8 69. 1 20.0 391 18. 1 II .0 27.7 36.0 340 36.1 21 .2 14.0 19.0 20.7 27.7 14.4 21-5 10.2 22.4 18.0 20.0 19.0 17.7 17.0 25-3 14. 1 14-3 20.9 25.6 30.0 52.9 35-3 8-5 35-2 16. 1 II. 5 13.0 38.6 293 26.0 390 27.8 20. 1 41. 1 45-4 42.0 504 12.6 45-2 39-2 315 55-3 514 415 51-5 23-4 37-3 32.5 22.2 17.2 26.5 22.7 26.0 16.8 25 I 24.0 28.4 35-9 10.8 26.1 16.4 10.4 26.8 32.7 26.4 32.3 18.2 12.9 17.2 17.7 26.2 Mean 36.65 Mean 22.87 19.2 16.4 Ptolemy's Catalogue of Stars. Table II. — Zodiacal stars. Mean errors of Ptolemy's longitudes from comparison with modern observations reduced to A. D. loo. 17 Longitude, Ptolemy. No. of stars. Sums. Mean value. A/-34'.9 A/ Ai a; AJ / / / 1 / 0- 20 14 +318 -137 +22.7 - 9-8 — 12.2 20- 40 16 +446 - 8.S + 27.9 - 5 3 - 7.0 40- 60 II + 277 + 154 + 25.2 + 14 - 9-7 60- 80 10 +257 + 168 +25-7 + 16 8 - 9.2 80-100 10 +427 + 96 +42.7 + 9 6 + 7-8 100-120 9 +336 + I2S +37-3 + 13 9 + 2.4 120-140 13 +566 +257 +43-5 + 19 7 + 8.6 140-160 II +481 +240 +43-7 + 21 8 + 8.8 160-180 9 +499 + 71 +55-4 + 7 9 +20.5 180-200 8 +386 + 44 +48-2 + 5 5 + 13-3 200-220 H +608 - 69 +43.4 - 4 9 + 8.5 220-240 13 +619 -251 +47-6 -19 3 + 12.7 240-260 13 +546 -108 +42.0 - 8 3 + 7-1 260-280 II +432 -151 +39-2 -13 7 + 4-3 280-300 14 +237 -168 + X6.9 — 12 -18.0 300-320 20 +608 -444 +30.4 — 22 2 - 4-5 320-340 IS +433 -278 +28.8 -18 S - 6.1 340- 7 + 144 -66 +20.6 +7620 - 9 4 -143 218 +7620 = +34-9 218 Table III. — Mean errors of Ptolemy's longitudes —2° 40' from comparison with modern observations reduced to B. C. 130. Longitude, No. of Sums. Mean value. Ptolemy A/-4'.6. -2° 40'. A/ Ab A/ Ab / 1 / t / 0- 20 14 — 102 - 91 - 7-3 - 6.5 -II. 9 20- 40 16 - 34 -103 — 2.1 - 6.4 - 6.7 40- 60 II - 52 + 146 - 4-7 + 13-3 - 9-3 60- 80 10 - 43 + 149 - 4-3 + 149 - 8.9 80-100 10 + 127 + 80 + 12.7 + 8.0 + 8.1 100-120 9 + 66 + 106 + 7-3 + 11. 8 + 2.7 120-140 13 + 163 +245 + 12. s + 18.8 + 7-9 140-160 II + 150 +240 + 13-6 +21.8 + 9'0 160-180 9 +228 + 76 +25-3 + 8.4 +20.7 180-200 8 + 127 + 52 + 15-9 + 6.S + 11. 3 200-220 14 + 160 - 50 + 11. 4 - 3-6 + 6.8 220-240 13 +239 -22s + 18.4 -173 + 13.8 240-260 13 + 145 - 91 + 11. 1 - 70 + 6.S 260-280 II + 110 -134 + 10.0 — 12.2 + 5-4 280-300 14 -183 -154 -13.0 — II.O -17.6 300-320 20 + 3 -430 + 0.1 -21. s - 45 320-340 15 _ 23 -278 - 1-5 -18.5 - 6.1 340- 7 - 66 - 71 - 9-4 + 101S — 10. 1 — 14.0 218 + 101S = + 4-6 218 i8 Ptolemy's Catalogue of Stars. Table IV. — List of manuscripts collated. P = Peters. K=Knobel. No. Title. Codices. No. Collated by I 2 3 4 S 6 7 8 9 lO II 12 13 14 IS 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5° SI 52 53 54 55 Almagest. do... do... do... do... do... do... do... do... do... do... ...do... ...do... ...do.., ...do.. ...do.., ...do.. ...do.. ...do.. ...do.. ...do.. Almagest. ....do... do... .do. .do. .do. .do. .do. Almagest. do... do... AlSiifi... do... .do. .do. .do. .do. .do. .do. .do. .do. Greek. Codex Parisinus, Graecus . do do do do.. Codex Viennae, Graecus. . Codex Venitiis, Graecus. . . .. .do Nassir Al Din Al Tusi (Com- pendium of Almagest). Ulugh Beg do .do. .do. .do. .do. .do. .do. .do. .do. .do. .do. .do. .do. .do. .do. Codex Laurentianus, Graecus, Plut. 28 . do Plut. 28. do Plut. 28. Codex Laurentianus, Graecus, Plut. 89 . Codex Vaticanus, Graecus ....do ....do Codex Vaticanus, Reginensis, Graecus . Codex Bodleian, Selden, Graecus Latin. Codex Viennae, Trapezuntius Codex Laurentianus do... Codex British Museum, Burney Codex British Museum, Sloane Codex Crawford Codex New College, Oxford Codex All Souls College, Oxford Arabic. Codex Laurentianus Codex British Museum Codex Bodleian, Pocock Codex India Office Codex British Museum do do..... Codex Parisinus do do Codex Bodleian, Pocock Codex Bodleian, Huntingdon Codex Bodleian, Marsh British Museum, Regis Persian. Codex Parisinus do do Codex Royal Astronomical Society . . . Codex British Museum do do Codex Crawford Codex Bodleian Codex Bodleian, Marsh Codex Bodleian, Pocock Codex Bodleian, Gravius 2389 2390 2391 2392 2394 14 302 303 310 311 312 313 I 39 47 48 1038 1046 1594 90 3374 24 6 45 275 2795 148-9 281 95 156 7475 369 2389 7488 1407 5323 2488 2489 2490 257 212 144 16 366 164 172 16742 7699 11637 709 548 396 226 5 P.,K. P. P. P. P. P. P. P. P. P. P. P. P. P. P. P. P. P. K. P. K. P. P. P. K. K. K. K. K. P. K. K. K. K. K. K. K. K. K. K. K. K. K. P. P. P. K. K. K. K. K. K. K. K. K. NOTES ON THE MANUSCRIPTS OF THE ALMAGEST. GREEK. r. Paris Codex 2389. This, and No. 19, Codex Vaticanus Graecus 1594, are the oldest manuscripts of the Almagest yet discovered. Codex 2389 was probably origi- nally in the Laurentian library at Florence, and it was bought by Catherine de Medici, who brought it to Paris; on her death it probably came to the library, now the Bibliotheque Nationale. It bears the stamp in gold of Henri IV. The manuscript is assigned to Saec. IX and is very clearly written in uncial Greek. Halma attributed it to the seventh or eighth centuries, but Dr. Peters was not incHned to this view. He remarks that it can not be older than the end of the ninth century, and says further: "Besides, it remains to be examined whether the writing is not, at least in parts, perhaps nothing but a copy of the older way of writing, and whether the handwriting itself is not of a considerably later date. To be noted is the transition of the sign for %ia-u into a later cursive (minuscule) form. A curious form of delta which occurs a few times was also taken into consideration." The manuscript of the catalogue is in two forms of uncial Greek, and has apparently been written by two scribes. From the commencement to the end of the constellation Virgo, that is, to the end of Book VII of the Almagest, the writing is in the well-recognized characteristic form of uncial Greek of the ninth century. (Plate II.) The contrast of light and heavy strokes and a decHne in regularity are characteristic. From the commencement of Book VIII, with the constellation Libra, to the second star in the constellation Hydra, the writing is in round uncials of a much older type. It is far more regular and is beautifully written. The letters €, 0, O, and C, which in the first part are oval, are here cir- cular. (Plate III.) It is probably from the consideration of this portion of the manuscript that Halma assigned it to the seventh or eighth centuries, as it certainly resembles writing of an earlier period. The peculiar form of delta noticed by Dr. Peters occurs only in this portion of the manuscript. It is appar- ently an ancient cursive form of the delta employed as far back as the second century. In the margin also are found a few examples of an old cursive form of the alpha. Dr. Peters remarks upon a variant to the longitude of the twenty- sixth star of Capricornus as if it was a small H which had been cancelled, but it is really an old cursive form of the letter rj. The later form of the sign for liiiiav referred to has not been detected, though this sign is written in several varying forms. From the third star in Hydra to the end, the writing is the same as the first part of the catalogue. M. Omont states that "the manuscript is homogeneous from beginning to end, and is written throughout by one scribe who varied his writing, inasmuch as the two forms of writing referred to are intermixed in various places, or possibly a second scribe was employed." The highest authorities assign the whole manuscript to the ninth century. Variants are in many cases added to the longitudes and latitudes of the stars, which indicate that the scribe copied from more than one manuscript or was doubtful of the exact character. For instance, in some cases where two readings are given of alpha and delta in the usual 19 20 Ptolemy's Catalogue of Stars. letters, the scribe has written in the margin an old cursive alpha as explanatory.* The magnitudes are given very correctly. Writing 25 cm. high, 18 cm. wide. 2. Paris Codex 2390. About Saec. XII. Clearly and neatly written in small characters with many abbreviations. Halma states that he used in his edition the Florence manuscript 2390. There is no manuscript of the Almagest at Florence so numbered. He thus describes it: "II est au commencement du 1 2""° siecle; characteres tres menus; tres difficile a lire a cause du grand nombre de ligatures et d'abreviations de I'ecriture." The mistakes he found, which are given by Baily, show an identity with Paris 2390, and there can be little doubt that its designation as a Florence manuscript is erroneous. 3. Paris Codex 2391. About Saec. XV. Complete. Neatly written. 4. Paris Codex 2392. About Saec. XV. Incomplete. The catalogue terminates with the third star of Corona Borealis. A very bad copy. 5. Paris Codex 2394. "Codex chartaceus Constantinopoli nuper in Bibliothecam Regiam illatus. Is codex descriptus est exemplari saeculo decimo tertio exarato, quod in illustrissima Valachise Principio Bibliotheca asservatur." The manuscript is a copy made in 1733 for the Bibliotheque du Roi. This copy shows that the resem- blance of the archetype with Grynaeus is very close. It contained all the errors of print of Grynaeus, but having omissions, it can not be the manuscript used by Grynaeus. It also had the latitudes of Baily's stars 248-250, which are wanting in the edition of Grynaeus. 6. Vienna Codex 14. About Saec. XVI. Contains only the longitudes of the stars. It seems a copy of No. 14, the Laurentian Codex 39. The extreme errors seem to be the same as No. 20, the Vatican Codex Reg. 90. 7. Venice Codex 302. About Saec. XV. In rather small minuscules, but the figures and accents are well and accurately written. 8. Venice Codex 303. About Saec. XIV. Writing is distinct and some variants are written above the longitude and latitude. Some stars are omitted. The words fjLei^uv and eXaaawv are omitted after Bootes and the magnitudes were not com- pared. It seems to be more correct than No. 10. Venice Codex 3 1 1 . 9. Venice Codex 310. About Saec. XIV. Written in very clear and neat minuscules. The positions of the stars show much similarity to No. 12, Venice Codex 313, and particularly to No. 16, Laurentian Codex 48. 10. Venice Codex 311. Given in Zanetti's catalogue as about Saec. XII, but in Peters' opinion it is undoubtedly later. It is suggested by Morelli that this manuscript is a copy of Venice 313, or perhaps Venice 303. It is carelessly written, the Hel^uv and ekairauv being repeatedly omitted, and there is some confusion. 11. Venice Codex 312. Zanetti gives the date about Saec. XII; Morelli as about Saec. XIII. The longitudes of the catalogue are those of Ptolemy increased by 17°. It is observable that the true longitudes of Ptolemy were first written and then the modified longitudes written over the first figures. Various errors in the zodiacal signs have resulted. In examining the volume Peters discovered some corre- spondence, dating from the year 1817, between MoreUi and the Abbe Halma, from which it appears that Halma never had in his hands the Venice Codex, which he erroneously calls 313 instead of 312. At his request Morelli sent him as a speci- men a comparison of the positions of the stars in Ursa Minor and Ursa Major with Grynaeus. A list of the positions where these differ is found in the original of one of Morelli's letters, and it is this list which Halma gives in his list of variants (vol. n, p. 435). *Photographs of the whole Catalogue in this manuscript are deposited at the Carnegie Institution of Washington. Ptolemy's Catalogue of Stars. 21 12. Fenice Codex 313. Attributed by Zanetti to about Saec. X, but considered by Morelli as Saec. XI. This important manuscript is complete for the catalogue. Some few variants are given in the margin by the same hand. The magnitudes are given as correctly as in any other known manuscript. See further under No. 19, Vatican Codex 1594. 13. Laurentian Codex. Pluteus 28, i. About Saec. XIII. Catalogue complete. 14. Laurentian Codex. Pluteus 28, 39. About Saec. XI. Contains only Books VII and VIII. Catalogue gives descriptions and longitudes only, omitting the latitudes and magnitudes; the writing is large and clear. This seems to originate from the same source as Vienna Codex 14 and the Vatican Codex Reg. 90, the mistakes and omissions being the same, but the Vatican Codex contains the latitudes and is complete. 15. Laurentian Codex. Pluteus 28, 47. About Saec. XIV. Badly written, and ink much faded. Seems to have been written by a learned man who paid more attention to the matter than to beauty of style. 16. Laurentian Codex. Pluteus 89, 48. About Saec. XL Beautifully written with great exactness, and with the additions of /leifcoy and eXaaauv to the magnitudes. Much similarity between this manuscript and Codex Venetiis 310. 17. Vatican Codex 1038. About Saec. XII. The figures are clearly and plainly written, but sometimes without care. The copyist seems to have written vertically, so that the fractions are often displaced by one line. Halma (Preface, page Hi) speaks of a manuscript at the Vatican numbered 560, which contains the Alma- gest following a manuscript of Euclid. As the first portion of the Vatican Codex 1038 is occupied by a manuscript of Euclid, it is probable that this is the manu- script referred to as 560. 18. Vatican Codex 1046. Saec. XVI. Somewhat carelessly written. Contains the whole Almagest, but in the catalogue the figures for the positions and magnitudes are given only up to the thirteenth star of Draco. In a note the copyist complains of the contractions and illegibility of the archetype. Hence each book terminates with the remark Q&a Xdpts (God be thanked). This may perhaps be the manu- script referred to by Halma as No. 184. (Preface, page Hi.) 19. Vatican Codex IS94- Saec. IX. The most beautifully written Greek manuscript of the Almagest thus far discovered.* (Plate IV.) This was investigated by Heiberg in his Greek edition of the Almagest, 1 898-1 903, and by Manitius in his German translation of the Almagest, 1912. The manuscript is written in small uncial characters with great regularity. Some variants are inserted in the margin. Notes in the margin are in very early form of minuscules. The whole of the catalogue appears to be written by one hand. The iid^wv and tkaaauv are correctly added to the magnitudes, and, with the exception of three stars in Cetus, agree with Codex Venetiis 313. Several errors in the longitudes and latitudes are found equally in Venice Codex 313, indicating a common origin. 20. Vatican Codex, Reg. go. This codex is probably not very old, as the writer has used many contractions {vide Nos. 6 and 14). 21. Bodleian Codex, Selden 3374. Early Saec. XIV. A perfect copy, beautifully written, without variants. LATIN. 22. Vienna Codex 24 (Trapezuntius). A fine codex written for Matthias Corvinus, but somewhat carelessly done, as the signs and notations of the latitudes are fre- quently omitted. The title is "Magnae compositionis Claudii Ptolomaei libri a 'Photographs of the whole Catalogue in this manuscript are deposited at the Carnegie Institution of Washington. 22 Ptolemy's Catalogue of Stars. Georgio Trapezuntio traducti." It is the translation from the Greek used for the Trapezuntius Almagest printed in 1528. The codex does not seem to be a copy of No. 23 Codex Laurentianus 6. The date is given at the end, "Finis 17 Marcii, 1467." 23. Laurentian Codex 6. Translation from the Greek by Georgius Trapezuntius. This Codex is dedicated to Pope Sixtus IV by Andreas Trapezuntius (son of the trans- lator), which fixes the date between 1471 and 1484. It is carefully and clearly written. 24. Laurentian Codex 45. About Ssec. XIV. Beautifully written manuscript. Many variants added, some by the same hand, and others at a subsequent date. This, like the three following manuscripts, is a copy of the translation from the Arabic by Gerard of Cremona. There is a good deal of confusion in places and it does not appear to be a very accurate copy. As is found in other copies of Gerard of Cremona's translation, the fxel^av and eKaaauv are indicated by the letters em and el. 25. British Museum Codex. Burney 275. Saec. XIV. Translation from the Arabic by Gerard of Cremona. Formerly belonged to Pope Gregory XI (1370-1378) and was given by Clement VII to the Due de Berri in 1387. It is a complete copy of the Almagest, beautifully written throughout, with handsome illuminations. The fiel^uv and eKaaauv are entirely omitted from the magnitudes. 26. British Museum Codex, Sloane 279^. Translation from the Arabic by Gerard of Cre- mona. The date of this manuscript is placed by Sir Edward Maunde Thompson as "circa 1300, possibly earher, but hardly before the accession of Edward I, 1272." It is clearly written, but with many mistakes. The letters em and el for /xcifcoi' and ekaaaav are only in some cases appended to the magnitudes. The manuscript is imperfect, wanting several books. 27. Crawford Codex. A very fine illuminated manuscript of the complete Almagest, belong- ing to the Earl of Crawford. Saec. XV. Translation from the Arabic by Gerard of Cremona. The original from which this manuscript was copied was evidently difficult to decipher, for the scribe has left blank spaces for many words, sometimes giving only the initial letters. There is no indication as to latitudes being north or south. The second page begins with the following sentence not found in the Liechtenstein Almagest: "Liber hie praecepto Maimonis regis Arabum qui reg- navit in Baldach (Baghdad) ab Alhazen filio Josephi filio Maire, Arithmetici, et Sergio filio Elbe, cristiano, in anno XII et CC sectae Saracenorum (A. D. 827) translatus est." Weidler describes a manuscript "Peirescianus " of Ptolemy which has this sentence at the end. It is to be noted in the Crawford manuscript that the word "stellam" in the original has been written "terram," which offers an expla- nation of Liechtenstein's curious description of the second star in Orion; "quae appropinquat ad terram (? stellam) in humero Orionis." 28. New College, Oxford, No. 281. A very imperfect copy of Gerard of Cremona's trans- lation. It contains the catalogue of stars. Descriptions are given to the stars only in the first eight constellations. The manuscript is carelessly written and contains numerous mistakes. 29. Jll Souls College, Oxford, No. QS- Baily quotes a reference to this manuscript by Fabricius. It is clearly the translation of Gerard of Cremona, but the cata- logue of stars in Books VII and VIII is omitted, and it is evident that this was intentional, as the text follows on from Book VII, cap. 9, to Book VIII, cap. 2, which is on the Milky Way. Ptolemy's Catalogue of Stars. 23 ARABIC. 30. Codex Laurentianus 156. A carefully written manuscript in Neskhi or ordinary Arabic characters. Presumably a copy of the translation made by Al Mamon about A. D. 827. 31. British Museum 7475. An incomplete copy of the Almagest, wanting the first six books. Dated A. H. 615 = A. D. 1218. It is written in rather cursive Arabic, not in the Maghribi characters, but probably derived from an African manuscript; there is a lamentable absence of diacritical points, which makes the decipher- ment difficult. It is evidently a different translation from the Greek to No. 30 or No. 32. Whereas in these two manuscripts the jiteifwi' and eXaaauv are expressed by the initials of the Arabic words ^_aj3 (Kabir) and jSi*^ (Saghir) signifying "great" and "small," in British Museum 7475, the initials of the Greek words J (Mim) and j (Lam) are given. Many of the longitudes and latitudes differ from all other authorities. 32. Bodleian Arabic Almagest, Pocock s6g. Dated A. H. 799 = A. D. 1396. A well- written complete copy in Neskhi or ordinary Arabic. It compares with No. 30 in being presumably a copy of Al Mamon's translation. 33. British Museum Arabic Manuscript, Reg. 16, A. Fill. A compendium of the Alma- gest by Nassir Al Din Al Tusi, commonly called "Nassir Eddin." A very beautiful and accurately written codex in Neskhi characters. The most carefully written Arabic manuscript yet examined. Saec. XV or XVI. On the first page is written, "This booke belonged to Sultan Ahmed ye Turkish Empr. and cost about 100 crownes at ye first." The catalogue is complete, and several resem- blances with Bodleian Pocock 369 indicate that these two manuscripts had a common origin, though the copy of Nassir Eddin is more accurate. From the identity in the descriptions of the stars, the catalogue is taken from the transla- tion of Al Mamon. 24 Ptolemy's Catalogue of Stars. Table V. — Errors iii, manuscripts. Errors of $" = 6° and y' = lo'. Longitudes. Latitudes. Errors of T = 3° and P = 20'. Longitudes. Latitudes. Errors of A=4° and A'= 15'. Longitudes. Latitudes. Errors of € = 5° and = 9°. Longitudes. Latitudes. Errors of A=i° and A = 30°. Longitudes. Latitudes. Errors of A = 30° for A = 4° Longitudes. Errors of A=i° and A = 4°. Longitudes. Latitudes. Stars. 3, 281, 305, 3S4, 439, 508, 685, 716, 777, 861, 1022. I, 121, 233, 376, 436, 476, SOI, 509, 513, 596, 686, 913, 980. 180, 207, 375, 448, 452, 478, 686, 849, 899, 992. 42, 66, 129, 134, 154, 432, 449, 487, 572, 625, 701, 733, 748, 7S7, 954> 958, 1000, 1012. 533- 83, 86, 103, 138, 141, 395, 399, 402, 471, 64s, 7S2, 769. 19. 75. 90. 329. 341. 458. 524. 569. 570, 604, 60s, 973- 281, SS8, 755. 810, 8ss- 121. 766, 767, 980, 983, 994. 1013, lois. 29. 155. 157. 158. 234, 26s, 376, 382, 383, 402, 41S, 463, 464, 46s, 485. 486, 488, 495. 534. 539. 542. 544. 623, 644, 67s, 682, 74S, 749. 775. 782, 783, 797. 804, 829, 890, 912, 91S, 970, 971, 983. 999. 1008, 1020, I02S. 52, 71. 73. 76. Ill, 166, 167, i8s, 193, 196, 212, 266, 308, 33S, 357, 369, 429, 497. 534. 606, 662, 698, 715, 729. 739. 758. 759. 760, 813, 879, 897, 9SS, 959. 969, 998, 1028. H , K, - 8 e , £ , ^» 5 H N , p. - so /^A, A' - 37' ts' |< r' - 2o- ao' ^'*- MA -44- C ^^^7^Kr' - /o- so' >,=il,A = 4 \=30 A = 1 X = 50 5-tt Ceni: Fig. 2. — Facsimiles from various manuscripts. life Plate II f ' K'^fCICK\N«nilCll'riVK\KT(IB«f■ c ■ iMfTXVT-dlC-IllTHCIVfN.f : en.«J (>e HT 11 (n in f linn vfyf x.iH»Tr ic rMC\VM'ntTiA.evpNtiBtf mt : r. x>,x Jncf ixv/THHi'-Mif Kxf A.IA.V r r*' rcss Ker Of nxu(»vT»VHriyxUniYiWTi ly ; :ruiH>HT>vpf xxMXU) b OHf iHrtyMCM •( oeniMf HI cxyT'WH . , OeniT'iyxMCT'Cf ly rjUK^rtc : ^ i Jfnxmvr »yA,«^llVrin VTCt ; VTHUxTu;T«yAe2ji»yr»HXTr»( > TVt>M6HTW>T'fT(>XnXfVftVV»nit^i«VMHf^n'uJM ; OTfiTfci<:AienAU»xtTH(u^Ta>N; ()yn»T'HH»y»xHxniw#-tMeitH«T»H QTtyn^iynfjHrtyMeHttWxyf tTtytt ; KtLr KSS K^f "»l: ICXf l<:xp KXf & r KXf UXf KXf € I eLf 17. T? X»»J| TWNMeTX2 V''*'M«Mn«f'*'xxTiy\t»mrTilTl», 0T«y-rtV6«fil»Ttftt : . /tf B#f B»( KMT X. r "■ - /• ir r B.f BIf B»| B»( BIf Bl( Elf BIf ^&r r. r r KHA- xex ice Hri. 6lf ill 6»f 6ir A." B n- r ^ e r r B vi-U XAxf T \'*-& PHOTOGRAPH C. PARIS, 2389. IX CENTURY. Pl,A ill oi rl•l•ll>l^^>l^" Tt" p<> ion ICOOM lip«i>i 'I'ln i« en T « x p 1 C'l'v. |>M I < M H M II li Oruvi ■ i > i . tc pti v. OROneiUDTt pOCKyTCOH V""'T'01'0MY T- cm 'p^> yor ii>cToy VA^'^^^*^ ^'iotVci pooon p o■i•t>Y'^•"t'"<0^^e^l^^t•^'0'l■^'I■H^^K\MllMt^ ot.'riTo YTtDie.noKiP-NOO O'l 'O Y T^'"^ N IC AM ri H \ no Me OH M ts P I ^c •r\riovieNOc\yTtUN i •PeNT-HeyoMeNHCYC'i-piKpuroKopeioc OMeCOCTtllNTplU»M OeilOMeNOcXYTUiN;. _ o M o I u) OTu» N e <.|)e ^hc r o 5 o pe. i o c ONOTiu)'^repoo'r'rpiii>h» oMeoockY'T'uJM I _ oHirbH • r e M T- H 1 A O I n H I c Y CT p o H I T ciJ H KO I ri u.» N Ho N o Tf tu're p iro"VtC>««^*^. oc otsopeiu»T'6pocxy'T"»M Ac-TepCT'CMK ti»ri ^^*el•e^>'^ n'oV TSe irs S" "irie p iT-o M Y A-pt>XO o N \K«op d)u>Toi TeriOMrvHKfcMnMTOYYM'TOCrOHroY^^eM' a' \oi nu> NP o i^o pe uuTe poc OMcr I uiTe poCKYTuiM xcTCpe r'Mf'-reoA m i St^Y"'*^'^*^'^^P'*^^'*^*^ "oeM'TUJic'roMXTiToYnpoHroYMVvoYOC •V e N'l'cui i< pkN lOJi Ky TO Y^ OM oTH.i''ie pt'i- OEopc. I utT-e poc \Y Tui M ''PlOHeMTlUINa)TU» BonpoHT oenoMe HOC NY 'r>i» n _-fJeMTM»i^ope.llOT6p OMOTitoTepocxy TUin v,vr" Ai.; IH> * I.; ( Y\r" 11 1 ' no 1 « Y.vr /Xr u>> o r YAP" 1 1 .; o i; A < 1, YAP" •AkI- i.*' ** .*• ,\ YA-l*' 1 7 r.T ( n< ^ ',; A VAP«> K M<> I, A k K YAP» KU MO M.," /. YA-f lO N«> I'U V Y^vpo lou NO AG ^. YAT" i. t"i YAf" KIS NO leio" 1"; A VA^>o 17. NO ► lAif 'A. f^^\Afo itir no r leijL A. ry*-f« '7.1^^ NO ' IO ■- \ •YApo lAVr MO IA.l_h K ■VA-po IB r-^ MO. IP. r- ,\ YApo lis' NO 1^ A = Y-^-p" ■/. ■ NO K i-' Uf> 'VAP° KSI-- I^O IGU A • M YApo i<(»r» t40 IA.io ^ ^. Y*.po lio HO IHA A. . /YAfo BO <»A.' A '^: 'i'VApo KA.S ISO /'.I. VApo KS KO O 1 A- . YAfo KtlS oh" KO Ol. ^. VvoiY RO '/A A •<. !Y»*r«> KS no A»- A 'rVAp* i ixoY I7,G ft» f>K A iStov KS BO >^ 'V A . VXBY Rr NO ^S A iXoY KKI ' NO h \\ ixoY un ■ NO t". PHOTOGRAPH C2. PARIS, 2389. IX CENTURY. r^ v^-- V^' jy-- r I i ii ^ 61aeTft1U.N«illKHT^YHIlT^.T^^l^ll«^^H^f^c4^Clftl^f;eTrJ^tM.Y - ^ Pl.ATF TV //r *ik TsAOfib.UIttU •y iMtrVvrrmTiittH^vteuitTHCOYfi-t TnMwrivwHNTivnMKi^,vr>y-tVf>»N0'O -rKtfcVTMttlAlVffctWofejOC T««fcYTMtnRev{>'«lif {l«« _tTJNTHltn«hAn\(Vti.t"tAtv.4-tl'\>VtllTL.Ir^ (n^u.f ovTttVPvrxovt % tri»T\AlnBt a.YT" * ^ — / t t nO>*AlT40t fc-VT 6 tT\M<.y>VTWr*V>^vMTVOV ( . TtM'T'rpKx^^*-*"^ K»rif oMro'tf WI.5M 6 %T\v"rtv A-t^t-r6pvrir4VT-(it Mo-nuj-rt poc 4.VT TfNTTtTpa.nA.tvf^maent^niTtftV > tniTHC{K«t'VC(t^-r»Vpa.C 0^Btn■c1^ tniTovfl-pUTff Bv entc-4tavTsAtipiv 1 triiT *^ptTtp 6^r\<.v>-Ht ftMOTiMi-T-tpai fLvr 0-roVTivn.poM ravTvAtM»ck^A»-v^BX(pot flTivTBV rip«HrOV*AtM«t e t-r\*rivT»vnpttMriVMtNtc - - • i , fl t ni-r r^^ec mct«v A.pA.UBMTftt tni'tvuttTOWi Jk.na .- eni-r«trf m vot • & • f t X ftT fct>tTHrtv>At»inMVp^C atAB'noc4-?noTVAt»*^tnA.evy^^ - / — ^ ''t''-^- ':' PHOTOGRAPH D. VATICAN, 1594. IX CENTURY. THE CATALOGUE. The longitudes, latitudes, and identifications of the stars in the following cata- logue are almost entirely those decided on by Dr. Peters from a full consideration of all the materials. In selecting from the different readings in the manuscripts, he took into consideration not only the agreement with the computed position, but also the fair accordance with the general errors in Ptolemy's longitudes of the particular constellation. From this it is inferred that the original observations of the stars were made by constellations, and not indiscriminately. As has already been mentioned, he computed from Piazzi the positions of all stars which might possibly be those observed by Ptolemy, reduced from A. D. 1800 to A. D. 100, which he assumed as the epoch of Ptolemy's longitudes. The formula employed was /' = /— 23° 3oIl + i3'6 cos /tan b-o'.-j sin /tan h h' = h-i'i'.6 sin l-o'.y cos / The computed positions are corrected as far as possible for proper motion from the following considerations : For computing the influence of Proper Motions. Generally ... . , J7 sin 1] ,« , cos n . , db = cos r\.db-s\nn. cos bda dl= ^^^•d6+^^^^- cos 5da where or or cos b sin ij = sin e cos a cos b cos jj = cos e cos 5+sin e sin 5 sin a cos a cos 5 ^ , ^ • s sini7 = =^-sme cot tj = -— - cot e+tan a sin d ' cos b cos a cos 5 sin Tj = sin e cos / cos S cos tj = cos c cos i — sin e sin b sin / cn ±90° — which will be only for stars near the pole of the ecliptic. The following table gives iVfrom 10° to 10° computed with tan €=9.6376 (for 1800): tan iV= sin I tan e / N I N I N t / / =fc ±00 ± 70 ±22 II ±130 ±18 23 10 4 19 80 23 9 140 IS 3S 20 8 27 90 23 28 ISO 12 15 30 12 IS 100 23 9 160 8 27 40 IS 35 no 22 II 170 4 19 5° 18 23 120 20 36 180 60 20 36 PTOLEMY'S CATALOGUE OF STARS. CATALOGUE I. The first column gives the number of the star in Baily's edition of Ptolemy's catalogue; the second gives Ptolemy's number and the description of the star in Latin, the text being taken from the Trapezuntius Almagest 1528, and revised from the Greek; the third gives the modern name; the fourth gives the longitude in signs, degrees, and minutes; the fifth the latitude; and the sixth the magnitude. An asterisk (*) is appended to those longitudes and latitudes which differ from Baily. No. in Baily. Ptolemy. Modern name. Long. Lat. Mag. 9 10 II 12 13 14 IS 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 Northern Constellations. URSA MINOR. 1. Quae est in extremitate caudae 2. Quae post ipsam in cauda est 3. Quae post istam prope radicem caudae 4. Australis Stella praecedentis lateris figurae quadrilaterae 5. Borealis ejusdem lateris 6. Australis earum quae in sequenti latere sunt 7. Borealis ejusdem lateris INFORMATA. I. Australissima extra figuram in recta sequentis lateris URSA MAJOR. 1. Quae est in extremitate rictus 2. Praecedens earum quae in duobus oculis sunt 3. Sequens earum 4. Praecedens earum quae in fronte sunt 5. Sequens earum 6. Quae in extremitate praecedentis auris est 7. Praecedens earum quae in cello sunt 8. Sequens earum 9. Borealior de duabus quae in pectore sunt 10. Australior ipsarum 11. Quae in genu sinistro est 12. Borealis earum quae in anterioris extremitate pedis sinistri sunt 13. Australior ipsarum 14. Quae supra genu dextrum est 15. Quae infra genu dextrum est 16. Earum quae sunt in quadrilatera figura, ilia in dorse est 17. Quae de istis in ursae latere est 18. Quae in radice caudae 19. Reliqua quae est in posteriori sinistra coxa 20. Praecedens earum quae in extremitate posteriorum sinistri pedis sunt 21. Quae istam sequitur. 22. Quae est in poplite sinistro 23. Borealium earum quae in extremitate posterioris dextri pedis sunt 24. Australior earum 25. De tribus in cauda locatarum, prima post caudae radicem 26. Media ipsarum 27. Tertia, et in ipsa extremitate caudae I a 23 s 22 e 16 f 21 r) 13 y SA. I o. 2A. 4T^ 8p. 13 (t". 24 d. 14 T. 23 h. 29 V . 30 '» LS3''''-; 2 7} Coronae . I o Coronae. 45 "^ 43 1/' 46 b 41 CO 36 e 28 (7 25 P 30 f Sv 4^ 5 ^ ny 2 20 4 ID 5 40 9 40 19 40 26 40 5 40 40 o 40 8 30 8 10 40 o 40 o 20 20 16 a. 5 1- 3/3. 40 9 TT . 87. 10 5 . 13 « • 141 . 64 a. 27^. 20 7. 7K. 6s 5. 76 X. 6 7 •7 o W 25 40 25 o - 5 TTP 21 20 30 21 20 1TP 27 ^ 14 40 II 40 II 50 13 40 17 10 19 10 21 20 21 40 in 17 40 3 40 I 40 ^ 28 o m 16 40 22 O +74 o 65 30 62 30 60 15 61 15 +61 20 +64 o 59 30 + 58 40 58 20 60 10 54 40 49 o 53 50 48 40 53 15 57 30 *46 30 45 30 41 40 41 40 42 30 40 20 40 15 41 40 42 10 28 o 28 o 26 30 +25 o +31 30 +44 30 *46 10 48 o SO 30 44 45 44 50 46 10 +49 20 +37 30 43 o 40 10 37 10 48 4 5 4-3 5 4 5 5 4 5 5 5 5 3 4-3 4-3 4 4-3 5 5 5 5 5 3 4 4-3 3 3 4 4 2-1 4-3 5 6 4 4 4 4 3 3 3 4 3 +49 30 4-3 30 Ptolemy's Catalogue of Stars. Catalogue I — continued. No. in Baily. 1 25 126 127 128 129 130 131 132 133 134 13s 136 137 138 139 140 141 142 143 144 HS 146 147 148 Ptolemy. 149 I 150 2 151 3 152 IS3 4 S 154 6 7 156 ^S7 8 9 158 10 159 160 161 162 1^ 164 16s 166 I 2 3 4 S 6. 7 8 7- 8. 9- o. I. 2. 3- 4- S- 6. 7- 8. 9- 20. 21. 22. 23- 24. 2S- 26. 27. 28. 29. Northern Constellations — continued. HERCULES — continued. Quae in sinistra cubito De tribus quae sunt in sinistra manus vola ilia quae sequitur Borealis de duabus reliquis Australior ipsarum Quae in dextro latere Quae in latere sinistro Borealior ista in vertebro sinistrae coxae Quae in capite cruris ejusdem Praecedens de tribus quae sunt in sinistro crure. . Sequens istam Quae adhuc istam sequitur Quae in genu sinistro Quae in sinistra sura Praecedens de tribus quae sunt in extremitate pedis sinistri Media de tribus Sequens ipsarum Quae in vertebro coxae dextrae Borealior ista in eodem crure Quae in genu dextro Australior duarum quae in genu dextro sunt .... Borealior ipsarum Quae in tibia dextra Quae in extremitate dextri pedis est ipsa eadem in extremitate coUorobi INFORMATA. Australior ilia quae est in brachio dextro LYRA. Fulgens quae in testa est et vocatur Lyra Borealis de duabus quae isti adhaerent Australior ipsarum Quae istas sequitur et media inter ortum cornuum Borealior de duabus contiguis quae sunt ad orien- talem testae partem Australior ipsarum Borealior duarum praecedentium quae in jugo lyrae sunt Australior ipsarum Borealior duarum sequentium quae in jugo lyrae sunt Australior ipsarum CYGNUS. Quae est in ore Quae istam sequitur et est in capite Quae in medio collo Quae in pectore Fulgens quae in cauda est Quae in cubito alae dextrae est Australis de tribus quae sunt in pectine dextrae alae Media de tribus Modern name. 86 m 103 o 94 >- 92 I 40 f 58 e 59^ 61 c 67 IT 69 < 37 7« 10 7; 8f 3 <• 23 7=j8 Taur. 25 X 24 V 14 55 a 60 ^ 62 7 25 ' 27 K 10 X 1 5 2 € 57 M 64. V 69 T 35 V 40 ? 36 A 42 44 ^ 51 f 52 ? 2 Sagitt. . 13 f 8 ^ 7x 4'/' 90) 5p Long. V o / 8 20 4 10 6 20 W II 50 IS o T 24 40 K 2 30 2 20 V 25 o K 2 so 1 10 2 so "d 22 o 22 10 22 o 19 5° 25 40 26 o 26 20 *23 o TH 24 so 28 o 29 o 13 20 14 40 8 20 5 o 6 o 26 40 ;? 2 20 3 20 lU 21 10 *23 40 23 o 24 20 25 o 25 50 27 10 12 lO 11 40 10 40 9 50 12 20 10 40 Lat. +14 45 12 + 11 + 18 31 + 20 40 + 30 31 50 22 30 20 15 15 13 20 20 40 18 18 10 10 5 8 30 12 10 + *IO 20 +36 27 15 26 30 33 31 50 *23 45 17 16 30 15 13 40 H 20 7 30 2 15 — 2 15 I 30 20 *o 15 + I II 50 5 20 3 10 *i 40 40 — 45 Mag. 4 3-4 3-2 5 obs. 4 4 I 2 4 4-3 4-3 4-3 4 3-4 3-2 5 5 6 3-2 4-3 4 4 4 4 3 3 4 4-5 4 3 4-3 4 4-3 4 5 5 3 5-4 5 5-4 5 4 Ptolemy's Catalogue of Stars. Catalogue I — continued. 33 No. in Baily. 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 27s 276 277 278 279 280 281 I 282 2 283 3 284 4 28S S 286 287 288 289 290 291 292 293 294 29s 296 297 298 299 300 3- 4- 5- 6. 7- 8. 9' 10, II. 12. 13- 14. IS- 16. 17- 18. Ptolemy. Northern Constellations — continued . INFORMAT^. Borealior de tribus quae sunt ad ortum humeri dextri . . Media de tribus Australior ipsarum Sequens de tribus quasi supra mediam Borealior de quatuor et est solitaria SERPENS. Quae in extremitate maxillae est de illis quae in capite quadrilaterae sunt Quae nares tangit Quae in tempore Quae in radice colli Media quadrilateri et est in ore Exterior et ad septentrionem capitis Quae post primum colli flexum est Borealis de tribus deinceps sequentibus Media de tribus Australis ipsarum Praecedens manum sinistram Ophiuchi post sequentem flexum Sequens eas quae in manu sunt Quae post posteriorem partem dextri cruris Ophiuchi . . Australior de duabus sequentibus istam Borealior ipsarum Quae post manum dextram in flexu caudae Quae istam sequitur et est in cauda similiter Quae in extrema cauda est SAGITTA. Quae in ferro sagittae solitaria est Sequens de tribus quae in arundine sunt Media ipsarum Praecedens de tribus Quae in extremitate 'y\v 22 10 ^ 3 40 8^0 .^ 26 o 28 10 29 40 *20 10 Lat. + 28 10 26 20 25 o 27 o +33 o +38 o 40 o 36 o 34 15 37 15 42 30 29 15 26 30 25 20 24 o 16 30 *I3 IS? 10 30 8 30 10 50 20 o 21 10 +27 o +39 20 39 10 39 50 39 o + *38 40 +26 50 27 29 30 31 31 28 *26 10 10 o 30 30 40 40 +36 20 + 21 40 19 10 25 o 20 o IS 30 + 18 10 Mag. 4 4 4 4 4 4 3 3 4 4 3 4 3 3 4 S 4 4-3 4 4 4-3 4 4 6 5 5 5 4 3 2-1 3-4 3 5 5 5-4 3 3 4-3 3 S 3 34 Ptolemy's Catalogue of Stars. Catalogue I — ^continued. No. in Baily. Ptolemy. Modern name. Long. Lat. Mag. 301 I. 302 2. 303 3- 304 4- 305 306 i: 307 308 7- 8. 309 9- 310 10. 3" I. 312 2. 313 3- 314 4- 3IS 316 2. 317 3- 3i« 4- 319 S- 320 6. 321 7- 322 8. 323 9- 324 10. 32.'; II. 326 12. 327 13- 328 14. 329 IS- 330 16. 331 17- 332 18. 333 19. 334 20. 33.'; I. 336 2. 337 3- 338 4- 339 5- 340 6. 341 7- 342 8. 343 9- 344 10. 34.S II. 346 12. Northern Constellations — continued. DELPHINUS. Praecedens de tribus quae in cauda sunt Borealior de duabus reliquis Australior ipsarum Australis earum quae sunt in antecedente latere quad- rilateri rhomboidis Borealior antecedentis lateris Australis sequentis lateris rhombi Borealis sequentis lateris Australis de tribus quae sunt inter caudam at rhombum. Praecedens de duabus reliquis borealibus Reliqua de ipsis et sequens EQUULEUS. Praecedens duarum quae sunt in capite Quae ipsam sequitur Praecedens duarum quae in ore sunt Quae ipsam sequitur PEGASUS. Quae in umbilico est et communis cum capite Andromedae Quae in lumbis et extremitate pennae Quae in humero dextro et in ipsa pedis radice Quae in occipite et humero alae Borealior duarum quae sunt in corpore sub ala Australior ipsarum Borealior duarum quae in genu dextro sunt Australior ipsarum Antecedens duarum propinquarum quae in pectore sunt, Sequens ipsarum Praecedens duarum propinquarum quae in collo sunt . . Sequens ipsarum Australior duarum quje in juba sunt Borealior ipsarum Borealior duarum propinquarum quae in capite sunt . . Australior ipsarum Quae in rictu est Quae in dextro talo Quae in genu sinistro Quae in talo sinistro ANDROMEDA. Quae in occipite Quae in humero dextro Quae in humero sinistro Australis de tribus quae sunt in dextro brachio Borealior ipsarum Media de tribus Australis de tribus quae sunt in extremitate manus dextrae Media ipsarum Borealis de tribus 10. Quae in brachio sinistro Quae in cubito sinistro Australior de tribus qux sunt supra cingulum . 2 e . 5 ' ■ 7K. 9a. 11 5.. 12 y. 3 V- 4f- se. 8 a. 10 /3. 57. 78. 5=21 a And. 88 7 53/8 54 o 62 T 68 V 44 '7 43 o 47 X 48 M 42 r 46 ? SO P 49 0- 26 e 22 v 8 6 29 X 24 1 10 K 3i« 29 X 30 e 25 0- 24 e 27 p 17' 19 /f I6X 34 f 3857 43/3 •S 17 40 18 40 18 40 18 20 21 23 17 •=17 19 30 10 20 10 30 30 o -5 26 20 28 o 26 20 27 40 K 17 SO 12 10 2 10 26 40 4 30 5 o 29 o 28 30 26 27 18 K 10 o SO 20 30 21 20 20 30 *9 20 8 o S 20 23 40 17 40 12 20 K 25 20 26 20 24 20 23 40 24 40 25 O 19 40 20 40 22 10 24 10 25 40 T 3 so +29 10 29 o 27 45 32 *33 32 33 30 31 +31 o 20 o 10 IS SO 30 +20 30 20 40 25 30 +25 o +26 12 31 19 25 25 35 34 29 29 18 19 IS 16 16 16 22 41 34 +36 +24 30 27 o 23 o 32 o 33 30 32 20 41 o 42 o 44 o 17 30 IS SO + *26 20 3-4 4-5 4 3-4 3-4 3-4 3-4 6 • 6 6 obs. obs. obs. obs. 2-3 2-3 2-3 2-3 4 4 3 S 4 4 3 4 S 5 3 4 3-2 4-3 4-3 4-3 3 4 4 4 4 5 4 4 4 4 4 3 No. in Baily. 347 348 349 3 SO 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 38S 386 387 388 Ptolemy's Catalogue or Stars. Catalogue I — continued. 35 Ptolemy. 13- 14. 15- 16. 17- 18. 19. 20. 21. 22. 23- I. 2. 3- 4- I. 2. 3- 4- 5- 6. 7- 8. 9- 10. II. 12. 13- I. 2. 3- 4- 5- Northern Constellations — continued. ANDROMEDA — Continued. Media ipsarum Borealis de tribus Quae supra pedem sinistrum Quae in pede dextro Australior hac Borealior duarum quae sunt in poplite sinistra Australior ipsarum Quae in genu dextro Borealior duarum quae sunt in syrmate Australior ipsarum Exterior praecedensque de tribus qux sunt in extrem- itate manus dextrae TRIANGULUM. Quae in vertice trianguli est Praecedens de tribus quae sunt in basi. Media ipsarum Sequens de tribus Zodiacal Constellations. ARIES. Praecedens duarum quae sunt in cornu . Sequens ipsarum Borealior duarum quae in rictu sunt . Australior ipsarum Quae in coUo est Quae in lumbo est Quae in radice caudae Praecedens de tribus quae in cauda sunt . Media de tribus Sequens ipsarum Quae in posteriore parte cruris est Quae sub poplite Quae in extremitate posterioris pedis . . . . INFORM AT^. Quae supra caput est quam Hipparchus in collo dicit . Sequens fulgentiorque de quatuor quae supra lumbos sunt Borealior reliquarum trium minusque splendidarum . Media de tribus Australis ipsarum TAURUS. 1. Borealis de quatuor quae sunt in abscissione . 2. Sequens ipsam 3. Quae istam adhuc sequitur 4. Australissima de quatuor 5. Quae istas sequitur et est in dextra scapula. . 6. Quae in pectore 7. Quae in genu dextro 8. Quae in talo dextro 9. Quae in genu sinistro Modern name. 37 m 35 " 57 7 S\ =

^ 43 « o'^Arg. 14782 18 17 Scorp 22 10 *I7 40 24 21 20 27 m 3 50 26 10 m 40 20 30 20 10 ^23 o m I 10 Mag. + o 40 2 30 8 50 8 30 — I 40 + I 15 4 45 + 3 30 + 9 o 6 40 9 15 o 30 20 1 30 7 30 *8 10 - 9 40 + I 20 — I 40 5 o - 7 50 + I 40 o 30 3 45 4 o 5 30 5 4 4 4 4 3 5 6 2 5 2 5 4 4 4 4-5 5 4-5 4-5 6 5 4 3 4 4 3 3 3 3 4 4 3 2 3 40 Ptolemy's Catalogue of Stars. Catalogue I — continued. No. in Baily. sss 556 SS7 558 559 560 561 562 563 564 56s 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 Ptolemy. Modern name. Long. Lat. Mag. Zodiacal Constellations — continued. scoRPius — continued . 10. Praecedens duarum qu£e sub ipsis in extremo pede sunt . 11. Sequens ipsarum 12. Quae in primo spondilo a corpore 13. Quae post hanc in secundo spondilo 14. Borealis de binis quae in tertio spondilo sunt 15. Australior de binis 16. Quae deinceps in quarto spondilo est 17. Quae post ipsam in quinto spondilo est 18. Quae deinceps in sexto spondilo 19. Quae in septimo spondilo juxta aculeum 20. Sequens de duabus quae in aculeo sunt 21. Praecedens ipsarum INFORMAT^. 1. Quae aculeum sequitur et est nebulosa 2. Praecedens duarum, quae a septentrione aculei sunt. . 3. Sequens ipsarum SAGITTARIUS. 1. Quae in ferro sagittae 2. Quae in capulo sinistrae manus est 3. Quae in australi parte Sagittarii est 4. Australior earum quae sunt in boreali parte Sagittarii. 5. Borealior ipsarum et in extremitate arcus 6. Quae in humero sinistro 7. Quae hanc praecedit et est in sagitta 8. Quae in oculo est nebulosa et bina 9. Praecedens de tribus quae sunt in capite 10. Media ipsarum 11. Sequens de tribus 12. Australior de tribus, quae in boreali interscapilio sunt. 13. Media ipsarum 14. Borealis ipsarum 15. Obscura quae tres istas sequitur 16. Borealior de duabus quae in australi interscapilio sunt . 17. Australior ipsarum 18. Quae in humero dextro 19. Quae in cubito dextro 20. De tribus quae sunt in scapula, quae prope occiput est. 21. Media ipsarum et in ipsa latitudine scapulae 22. Reliqua et quasi sub axilla 23. Quae in anterior! sinistro talo 24. Quae in genu ejusdem pedis 25. Quae in anteriori dextro talo 26. Quae in crure sinistro 27. Quae in posteriore dextro cubito 13 r XVI 31 i.... 26 e rXVI 189 M^- txVI 193 m'-. XVI 198 fi . . XVI 206 f 2 . . XVI 302 ,, . . XVII 138 e. . XVII 210 ii . XVII 174 K.. 35 X 34 1' m o / 9 20 10 40 18 30 18 so 20 o 20 10 23 28 ^ o 11129 Jy Telescopii lXVII 229 . . 45 d. Oph . . 3 Sagittarii 10 7 19 5 20 € 22 X /I3m' tiSM^ 34'^ 27

i 99 i« lOli' 86 fi 89 c' 88 c^ 79=aPis. A list. 2 Ceti 6Ceti 7 Ceti 4/3 67 7h 10 e 17' Sk I8X 28 w 4.1 d SI dup... 63 5 ... . 71 6 86 f dup . 6 10 7 o 8 40 40 10 II 40 II 20 4 40 8 20 7 5° IS o 14 so 17 40 20 o 20 30 19 o 19 so *i7 so *22 40 23 10 21 40 22 10 23 10 17 O 17 30 18 20 II SO *I2 40 13 10 7 o 26 40 29 40 29 o 21 40 24 10 K K 26 28 o 26 o 10 40 o 29 40 6 o II 13 o o 17 10 *20 30 23 O + + 3 *3 o I o 7 S .5 10 9 o 10 SO 40 IS 30 o 40 o o + 2 O 10 1 10 30 1 40 3 30 4 10 8 IS II o 10 so 14 o 14 45 15 40 14 10 15 o IS *i6 IS 14 4S IS 20 o — 20 20 -IS 30 14 40 -18 IS + IS 30 20 30 30 30 30 20 S 4S 3 4S 2 IS I 10 o 10 4 S 4 4 6 3 4 S S s 4 4 4 4 4 4 S S 4 4 4 4 4 4 I 4-3 4-3 4-3 4-3 4 4 4 4 4 4 4 6 6 4 4 4 Ptolemy's Catalogue of Stars. Catalogue I — continued. 43 No. in Baily. 687 688 689 690 691 692 693 694 69s 696 697 698 699 700 701 702 703 704 70s 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 72s 726 727 728 Ptolemy. 14. IS- 16. 17- 18. 19. 20. 21. 22. 23- 24. 25. 26. 27. 28. 29. 30- 31- 32- 33- 34- Zodiacal Constellations — continued. PISCES — continued. Borealior duarum parvarum, quae sub ipsis in flexu sunt Australior ipsarum Praecedens de tribus quae sunt post flexum Media ipsarum Sequens de tribus Quae est in nodo linorum duorum Antecedens earum quae sunt a nodo in boreali lino . . . Australis de tribus quae deinceps post ipsam sunt . . . Media ipsarum Borealis de tribus et est in extremitate caudae Modern name. Borealior duarum quae sunt in ore piscis sequentis ... Australior ipsarum Sequens de tribus parvis quae sunt in capite Media ipsarum Antecedens de tribus Praecedens de tribus quae in australi spina, post cubitum Andromedae Media ipsarum Sequens ipsarum Borealior duarum quae sunt in ventre Australior ipsarum Quae est in spina sequenti juxta caudam . INFORMAT.*:. 1. Praecedens de duabus borealibus quadrilaterae figurae quae est sub Pisce antecedente 2. Sequens earum 3. Praecedens australis lateris 4. Sequens australis lateris . Southern Constellations . CETUS. 1. Quae in extremitate naris. ... 2. Sequens de tribus quae sunt in rictu, et est in extrema maxilla 3. Media ipsarum et est in ore medio 4. Praecedens de tribus et est in mento 5. Quae est in supercilio et in oculo. . 6. Borealior hac et est quasi in capillis 7. Praecedens banc, et est quasi in juba 8. Borealis antecedentis lateris quadrilaterae figurae quae est in pectore 9. Australis antecedentis lateris 10. Borealis sequentis lateris. . . 11. Australis sequentis lateris. . 12. Media de tribus quae sunt in corpore 13. Australis ipsarum 14. Borealis de tribus 15. Sequens duarum quae sunt juxta caudam 16. Antecedens ipsarum • 17. Borealis sequentis lateris figurae quadrilaterae, quae est in Cauda -ong. 8o■ ■ 4K . 7" ■ 6X. SM- 2 e . II a . 155. 13 7. 14 f 16 7) 24 20 24 10 22 O 17 10 14 50 12 10 10 30 5 10 5 50 8 50 13 50 17 30 21 20 21 30 22 10 24 40 "d" 4 10 5 o T 28 10 25 50 17 5° S3 14 50 53 30 II 50 52 o 10 \^*lg 40 19 50 21 21 19 16 25 *24 K I V 29 X o 2 20 20 10 10 50 20 o o o 40 -29 50 28 IS 25 50 25 20 26 o *27 o 27 so 32 SO 31 o 28 50 28 o 25 30 23 50 *23 50 23 15 32 10 34 50 38 30 38 ID 39 o 41 20 42 30 43 15 43 20 50 20 51 45 53 50 53 10 -53 30 ■35 o 36 30 35 40 36 40 39 15 45 41 15 30 4 4 4 4 5 4 4 3 4 3 3 3 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 44 20 44 o 45 50 38 20 -38 10 5 5 5 5 4-3 4-3 3 3 4-3 4-3 4-3 4-3 46 Ptolemy's Catalogue of Stars. Catalogue I — continued. No. in Baily. Ptolemy. Modern name. Long. Lat. Mag. 8i8 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 83s 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 2. 3- 4- 5- 6. 7- 8. 9- 10. II. 12. 13- 14. 15- 16. 17- 18. Southern Constellations — continued . CANIS MAJOR. Quae in ore fulgentissima est,et vocatur Sirius,et est subrufa Quae in auribus Quae in capite Borealis duarum quae sunt in collo Australis ipsarum Quae in pectore Borealis duarum quae sunt in genu dextro Australior ipsarum Quae in extremitate anterioris pedis Antecedens duarum quae sunt in genu sinistro . Sequens ipsarum Sequens duarum quae sunt in humero sinistro Praecedens ipsarum Quae est in cruris sinistri radice Quae sub ventre inter crura Quae in poplite pedis dextri Quae in extremitate pedis dextri Quae in cauda 9- 10. II. INFORMAT^. Quae a septentrione capite canis Australissima de quatuor quae sunt sub posterioribus pedibus quasi ad rectam lineam Borealior hac Borealior adhuc ista Reliqua et borealior de quatuor Praecedens de tribus quae sunt ad occasum rerum istarum quatuor quasi ad rectam lineam Media ipsarum Sequens de tribus Sequens de duabus splendidis quae sunt sub istis . . . . Praecedens ipsarum Reliqua et australior supradictis CANIS MINOR. 1. Quae in collo. .....;....... 2. Fulgens quae est in posterioribus et vocatur Procyon ARGO NAVIS. 1. Praecedens duarum quae sunt in extremitate navis. 2. Sequens earum 3. Borealior duarum contiguarum quae sunt supra scutulum in puppi Australior ipsarum Praecedens istarum . . . Splendida quae est in medio scutulo . Prsecedens de tribus quae sunt sub scutulo Sequens ipsarum Media de tribus 10. Quae in xv^itrnov sive anserculo est 11. Borealior duarum quae sunt in carina puppis. 12. Australior ipsarum 14 e 18 M 23 7 20 t IS^ri 7 1/2 2^ se 24 o^ 160' 253 21 e 13 K I f 31 V 22 Monoc .... 6 Columbae . . . K Col fSCol l = 3Can. Maj.. X IX Col X Col 7 Col )3 Col a Col eCol 3/3 10 a 11 ^ 15 P Pup 7 ? Pup VII 220 VII 173 VII 17s dup. . VII 163 3 Pup VII 200 I Pup. VII 277 fVII 99\ IVII io8|g'^°"P VII 68irPup. K 17 40 19 40 21 20 23 20 20 20 20 30 16 10 16 II ® 14 40 16 10 24 40 21 40 26 40 23 40 *2I O 9 40 2 10 M 19 30 - *7 o II 20 [ 13 o 14 ID "d 28 M o 2 y 29 26 22 o 20 20 o o 10 K 25 o - *29 10 10 20 14 20 8 50 8 40 5 20 6 20 5 20 9 20 8 30 14 o 4 o 4 o 1 1 / -39 10 I 35 4 36 30 5 37 45 4 40 4 42 40 5 41 15 5 42 30 5 41 20 3 46 30 5 45 50 5 46 10 4 47 5 48 45 3-4 51 30 3 55 10 4 53 45 3 -50 40 3-4 -25 15 4 61 30 4 58 45 4 57 4 $6 4 55 30 4 57 40 4 *59 30 4 59 40 2 57 40 2 -59 30 4 — 14 4 16 10 I -42 30 5 43 20 3 45 4 46 4 45 30 4 47 15 3 *49 30 4 *49 30 4 49 15 4 49 50 4 53 4 -58 40 3 Ptolemy's Catalogue of Stars. Catalogue I — continued. 47 No. in Baily. 86i 862 863 864 86s 866 867 868 869 870 871 872 873 874 87s 876 877 878 879 880 881 882 883 884 88s 886 887 888 889 890 891 892 893 894 89s 896 897 898 899 900 901 902 903 904 Ptolemy. 13' IS- 16. 17- 18. 19. 20. 21. 22. 23- 24. 25- 26. 27. 28. 29. 30. 31- 32. 33- 34- 35- 36. 37- 38. 39- 40. 41. 42. 43- 44. 45- Southern Constellations — continued . ARGO NAVis — continued. Borealior earum quae sunt in foris puppis , . 14. Praecedens de tribus quae deinceps sunt. Media ipsarum Sequens de tribus Splendida quae istas in foris sequitur Praecedens de duabus obscuris, quae sunt sub splendida Sequens ipsarum Praecedens de duabus quae sunt supra splendidam dictam Sequens ipsarum Borealis de tribus quae sunt in scutulis et est quasi in malo Media ipsarum Australis de tribus Borealior de duabus contiguis quae sunt sub istis. . . Australior ipsarum Australis de duabus, quae sunt in medio malo Borealior ipsarum Praecedens de duabus quae sunt in extremitate mali . . Sequens ipsarum' Quae est sub tertia in sequento scutulo Quae in abscissione fororum est Quae inter gubernacula in carina Sequens istam obscura Splendida sequens istam sub foris Splendida quae ad meridiem istius est in inferiore carina Antecedens de tribus, quae istam sequuntur Media ipsarum Sequens de tribus Praecedens de duabus sequentibus has juxta abscis- sionem Sequens ipsarum . Antecedens de duabus quae sunt in boreali et praecedenti gubernaculo Sequens ipsarum Praecedens duarum reliquarum in gubernaculo et vocatur Canopus Reliqua et sequens ipsarum HYDRA. 1 . Australis duarum praecedentium de quinque quae sunt in capite et est in naribus 2. Borealior ipsarum et est supra oculum 3. Borealis de duabus sequentibus et est quasi in cranio 4. Australior ipsarum et est in oris hiatu 5. Quae omnes istas sequitur et est quasi in mento 6. Praecedens duarum quae sunt in radice colli 7. Sequens ipsarum 8. Media de tribus quae deinceps in flexu colli sunt 9. Sequens de tribus 10. Australissima ipsarum 11. Borealis et obscura de duabus contiguis quae sunt ab austro Modern name. VII 172 /Pup. idK... YUiSeld^Pup VII 214 c Pup. VII 254 b Pup. VII 306 f Pup. VII 253 a Pup. Lac. 3128 . . . . VIII 21 AiPup. VIIIssA^Pup. Lac. 3580 . . . . VIII 168 ^Vel. VIII i39fVel. VIII i76flVeL VIII iSS&Vel VIII 14s P Pyx VIII 162 a Pyx VIII 193 T Pyx VIII 220 5 Pyx IXiXVel.... IXii6i/'Vel.. VII 13s o- Pup. VII 23sP.Pup. 7 Vel X Car o Pup 5 Vel /Car /cVel N.Vel V 315=1 Col. VI 205 V Pup . . a Argus r Pup S <^ 45 lie 7v 16 f 18 w 22 e 32 r^ 35 t 3 I T^ fLL. 18657.. . . IV^. 9'' 439 ... . Long. Lat. o / @io 10 12 10 13 40 16 30 21 10 18 10 21 O *23 O 24 20 iJ 5 40 6 10 4 9 10 9 10 ®29 20 28 29 «*I4 10 17 30 @ii 10 19 Q 8 30 15 10 21 20 26 w I K 4 o 20 10 17 10 29 o ©14 o 13 20 IS 20 IS 30 17 50 20 20 23 20 28 so fi o 40 ®28 30 j 29 10 Mag. •*5S 30 58 40 57 IS 57 45 *S8 20 60 o 59 20 56 40 57 40 SI 30 55 40 57 10 60 o 61 IS *Si 30 49 o 43 20 43 30 54 30 51 15 63 o 64 30 63 50 69 40 65 40 65 5° 67 20 62 so *62 IS 65 5° 65 40 75 o - 71 45 ■ IS o *i3 10 II 30 *i4 45 *I2 O II 50 13 40 IS 20 14 SO 17 10 ■ 19 45 5 S 4 4 2 5 S 5 5 4-3 4-3 4-3 4-3 4-3 3 3 4 4 2 2-3 4 6 2 2 3 3 2 3 3 4-3 3-2 I 3-2 4 4 4 4 4 S 4 4 4 4 6 48 Ptolemy's Catalogue of Stars. Catalogue I — continued. No. in Baily. 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 Ptolemy. 12. 13- 14. 15- 16. 17- 18. 19. 20. 21. 22. 23- 24. 25. Southern Constellations — continued . HYDRA — continued. Splendida de duabus contiguis Praecedens de tribus sequentibus post flexum Media ipsarum Sequens de tribus Praecedens de tribus quae deinceps quasi ad rectam lineam sunt Media ipsarum Sequens de tribus Borealis de duabus quae sunt post basim Craterae Australior ipsarum ■ . Praecedens de tribus post istas quae sunt quasi in triangulo Media et australior ipsarum Sequens de tribus Quae post corvum est prope caudam Quae in extremitate caudae 9- 10. II. 12. 13- 14. INFORMAT^. 1. Quae a meridie capitis 2. Sequens eas quae in collo sunt non multum ab illis distans . CRATER. Quae in basi Craterae est communis cum Hydro . . Australior de duabus quae sunt in medio Craterae. Borealior ipsarum Quae est in australi arcu oris Quae est in boreali arcu oris Quae est in ansa australi Quae est in ansa boreali CORVUS. Quae in rostro communis cum Hydro Quae est in collo juxta caput Quae in pectore Quae in antecedente dextraque ala Praecedens de duabus quae sunt in ala sequenti. . . Sequens ipsarum Quae in extremo pede communis cum Hydro. . . CENTAURUS. Australissima de quatuor quae sunt in capite. Borealior ipsarum Antecedens de duabus reliquis et mediis Sequens ipsarum et reliqua de quatuor Quae in sinistro antecedentique humero Quae in humero dextro Quae in sinistra scapula . Borealior de duabus praecedentibus quae sunt in Thyrso Australior ipsarum . . . De reliquis duabus quae est in extremo Thyrsi . . . Reliqua et australior hac Praecedens de tribus quae sunt in dextro latere . . . Media ipsarum Sequens de tribus Modern name. 30 a . 38 K . 391,1. 40 v^. Long. Lat. SI o 6 8 II o o 40 10 42 M (p (2 Crat.) . . . V (4 Crat.) . . . (i 1/3 Crat.)... xMgCrat.)... HigCrat.)... o (25 Crat.) . . . /3 (28 Crat.) . . . 46 7 49 T 30 Mon 24 Sextan . . . 15 a Sextan.. 18 o 20 o 23 o 1TP I 30 2 20 12 10 14 30 16 10 — 00 13 30 ;}« 7 a. 15 T- 12 5 . 27f • 146 . 30 r) . 21 e 1 a . 2 e . 5f 4T 75 8 jj . 9^ 12 30 II o Q 26 20 1TP 30 o o 2g 4 /; I i ^k xms3t.. 5^ XHI 99 d . XIV 40 i . XIV 55 a . XIV 150 fi XIV 141 ^'. XIII 197 v XIII 198 M XIII 246 ,p Q 29 20 TTP 9 10 *i 40 nj 15 20 14 20 16 40 13 30 16 40 17 o 20 30 ^ 10 30 10 o 9 10 10 o 6 10 15 40 9 10 18 10 19 10 22 o 22 30 13 20 14 o 15 10 22 30 27 30 22 20 23 45 18 IS 20 50 28 20 29 20 28 o / -*23 26 30 26 *23 IS 24 40 23 22 10 25 45 30 10 31 20 33 10 31 20 13 40 - 17 40 - 23 IS *io 10 - 23 19 30 18 18 30 13 40 16 10 - II 5° - 21 40 19 40 18 10 14 SO 12 30 II 4S - 18 10 - 21 40 18 so 20 30 20 25 40 Mag. 2 4 4 4 3 4 3 4-3 4 4 4 3 4-3 4-3 4 4 4 4-3 4 4-5 4 3 3 5 3 3 4 3 5-4 5-4 4-3 5-4 3 3 4 4 4 4 4 4-3 4-3 4-3 Ptolemy's Catalogue of Stars. Catalogue I — continued. 49 No. in Baily. Ptolemy. Modern name. Longi- tude. Lat. Mag. 949 IS- 9SO lb. 951 17- 952 18. 953 19. 954 20. 955 21. 9S6 22. 957 23- 958 24. 959 25- 960 26. q6l 27. 962 28. 963 29. 964 30. 965 31- 966 32. 967 33- 968 34- 969 35- 970 36. 971 37- 972 I. 973 2. 974 3- 975 4- 976 5- 977 b. 978 7- 979 8. 980 9- 981 10. 982 II. 983 12. 984 13- 985 14. 986 15- 987 16. 988 17- 989 18. 990 19. 991 I. 992 2. 993 3- 994 4- Southern Constellatio ns — contin ued . CENTAURU s — Continued . Quse est in dextro brachio Quae in dextro cubito Quae in extremitate manus dextrae Splendida quae est in conjunctione humani corporis. . . Sequens de duabus obscuris, quae sunt borealiores hac. Praecedens ipsarum Quae est in principio scapulae Antecedens banc in dorso equi Sequens de tribus quae sunt in lumbis Media ipsarum Antecedens de tribus Praecedens de duabus contiguis quae sunt in crure dextro Sequens ipsarum Quae in pectore sub axilla equi Praecedens de duabus quae sunt sub ventre Sequens ipsarum Quae est in poplite pedis dextri Quae est in talo ejusdem pedis Quae sub poplite sinistri pedis Quae in sura ejusdem pedis ■ • ■ Quae in extremo anterioris dextri pedis Quae in genu sinistri pedis Quae est extra sub dextro posteriore pede LUPUS. Quae in extremo posteriore pede apud manum Centauri Quae in poplite ejusdem pedis. . . Praecedens de duabus quae sunt in scapula Sequens earum Quae in medio ferae corpore Quae in ventre sub latere Quae in crure . • ■ Borealior de duabus quae sunt juxta radicem cruris. . Australior ipsarum Quae in extremis lumbis Australis de tribus quae sunt in extrema cauda Media de tribus Borealior ipsarum Australior de duabus quae sunt in collo Borealior ipsarum • • • Praecedens de duabus quae sunt in rictu Sequens ipsarum • Australior de duabus quae sunt in anteriore pede Borealior ipsarum ARA. Borealior de duabus quae sunt in basi Australior ipsarum Quae est in media arae Borealis de tribus quae sunt in foco XIII 288 X. XIV 109 71. XIV 216 K. XIII 231 f. XIII 267 v' XIII 249.^1 CO cum . . . / 7 T ff 5 P M e Q ........ y Crucis . . . (3 Crucis. . . 8 Crucis . . . a Crucis. . . a Centauri. /3 Centauri. H Crucis. . . XIV 211 /3. XV 31 5.. XV 98 T • XV3S*-. X XV 242 X M K r ,?. 16 20 — 26 30 22 50 25 15 27 30 24 18 33 30 17 40 31 16 50 30 20 12 10 34 50 9 37 40 5 50 40 5 40 20 2 40 41 2 40 3 30 18 20 16 20 17 40 10 o 15 20 6 20 II m 8 10 20 24 10 14 40 46 10 46 45 40 45 43 o 43 45 51 10 51 40 55 10 44 10 45 20 -49 10 4-3 3 4 3-2 5 5 5 5 3 4 5 3 4 4 2 3 2 2 4 2 I 2 4 m 28 25 I 4 3 o o 4 3 o 50 o 10 o lO 40 40 40 fXIV 66 t1 . IXIV 67 T^ . XV2171J.. XV 248 (9 . . XV174FI.SX XV 204 ^ XV 10 Fl. 1 1 XV22F1.2/ 5 40 20 20 "26 o 22 o *2I SO 23 o m 8 so 9 20 5 40 6 40 :=:*27 20 *27 30? TKl 27 40 ;?* 3 O 111*26 10 20 40 ■24 50 29 10 21 15 21 O 25 10 27 O 29 O 28 30 30 10 33 10 31 20 30 30 29 20 4-3 17 o IS 20 13 20 n so *ii 30 — 10 o — 22 40 25 45 26 30 — 30 20 3 3 4 4 4 5 ^5 5 5 5 4 4-3 4 4 4-3 4-3 5 4 4-3 5 so Ptolemy's Catalogue of Stars. Catalogue I — continued. No. in Baily. 995 996 997 998 999 1000 lOOI 1002 1003 1CK)4 1005 1006 1007 1008 1009 lOIO lOII IOI2 IOI3 IOI4 IOI5 IO16 IOI7 IOI8 IOI9 1020 I02I 1022 1023 1024 1025 1026 1027 1028 Ptolemy. Southern Constellations — continued. ARA — continued. 5. Australior reliquarum et contiguarum duarum 6. Borealior ipsarum 7. Quae est in extremitate CORONA AUSTRALIS. 1 . Antecedens extra australem arcum 2. Quae ipsam sequitur et est in corona 3. Quae istam sequitur 4. Sequens adhuc istam 5. Quae post istam est ante Sagittarii genu 6. Quae post istam est borealior quam fulgens quae est in genu 7. Borealior hac 8. Adhuc borealior ista 9. Sequens de duabus praecedentibus istam in boreali arcu ID. Praecedens de duabus obscuris 1 1 . Hanc etiam satis praecedens 12. Adhuc istam praecedens 13. Reliqua et australior quam supradicta PISCIS AUSTRINUS. 1. Quae est in ore, est eadem cum principio aquae. . . . 2. Praecedens de tribus quae sunt in australi capitis circumferentia 3. Media ipsarum 4. Sequens de tribus 5. Quae est ad branchias 6. Quae est in dorsali australique spina 7. Sequens de duabus quae sunt in ventre 8. Antecedens ipsarum 9. Sequens de tribus quae sunt in boreali spina 10. Media ipsarum 1 1 . Praecedens de tribus 12. Quae in extrema cauda INFORMAT^. 1. Praecedens de tribus splendidis antecedentibus Piscem 2. Media ipsarum 3. Sequens de tribus 4. Praecedens hanc et est obscura 5. Australior de duabus reliquis quae sunt in septentrione 6. Borealis ipsarum Modern name. 7 {xvin7654Tei' f XVIII 166 77I IXVIII 169 1,2 Lac. 7909 . . . XVIII 250 r. XVIII 2913. XVIII 30s (3. XVIII 300 a. XVIII 280 7. XVIII 230 e. XVIII 222 V. XVIII 142 X. Lac. 7748 . . . XVIII 850.. 24 o 17 i8 22 7 23 5 18 e 14 M f 16 X 12 TJ 10 9 ' • •. 7 Gruis . . . . a Micros . . , 7 Micros . . , e Micros . . . XX44S..., XXI 12..., 24 A Capric } Long. 11125 10 25 o 20 50 ;<^ 9 10 II 40 13 10 14 SO 16 10 17 o *i6 50 16 30 IS 10 14 40 II 50 9 40 9 10 «» 7 o o 40 4 ID 5 20 4 20 -5 25 10 « I 10 ^ 28 50 25 10 21 so 21 o 20 10 ^80 11 10 14 o 12 O 13 5° 13 so Lat. Mag. - 34 10 33 20 -*34 o - 21 30 21 o 20 20 20 o 18 30 17 10 16 o IS 10 IS 20 14 SO *i4 40 15 SO 18 30 _* 20 20 20 20 22 IS 22 30 16 IS 19 30 IS 10 14 40 15 o 16 30 18 10 22 IS 22 20 22 10 21 10 20 SO 17 o 14 so 4-3 4 4 S 4 S 4 4 4 6 6 S S s I 4 4 4 4-3 S S 4 4 4 4 4 3-4 3-4 3-4 S 4 4 CATALOGUE II. Ptolemy s Catalogue Compared with Modern Observations Reduced to Epoch A. D. loo. The first column gives the number of the star in Baily's edition; the second, Ptolemy's number; the third, Ptolemy's longitude in degrees and minutes with some alternative readings; the fourth, Ptolemy's latitude with some alternative readings; the fifth column gives Ptolemy's magnitude; the sixth column gives the modern name; the seventh and eighth columns give the longitude and latitude of the identified stars for the epoch A. D. loo, reduced from Piazzi's Catalogue, with the exception of the stars in Danckwortt's Catalogue {Vierteljahrsschrift der Astrono- mische Gesellschaft, i88j); and those in the catalogue of Neugebauer {Sterntafeln von 4.000 vor Chr. bis zur Gegenwart nebst Hilfsmitteln zur berechnung von Sternpo- sitionen zwischen 4000 vor Chr. und 3000 nach Chr., 1Q12) which have been reduced from those catalogues respectively. The ninth column gives the magnitudes in the Harvard Revised Photometry, the combined magnitude being given for double stars; and the tenth and eleventh columns give the differences of the computed positions of longitude and latitude. Ptolemy's Catalogue Computed for A.D. 100. Magni- tude in C— Pt. ^f» in |\^i-\H Qfn riarvarn i.^i/> 111 Baily. IVIUUCIII name. J. J-o-i V aiu Revised No. Long. Lat. Mag. Long. Lat. Photom- etry. ^Long. A Lat. URSA I WINOR. / / / / / / I I 60 10 +66 3 I a. . 62 8 +6S 52 2.1 + 118 - 8 2 2 62 30 70 4 235.... 64 42 69 46 4-4 + 132 - 14 3 3 70 10 74 20 4 22 e 72 36 73 39 4-4 + 146 - 41 4 4 89 40 75 40 4 i6f. . 90 32 74 53 4-3 + 52 - 47 5 5 93 40 77 40 4 21 -q. . 93 39 77 43 50 — I + 3 6 6 107 10 72 so 2 70. ■ 106 21 72 49 2.2 - 49 — I 7 7 116 10 74 5° 2 13 T. ■ 114 2S 75 S 31 -los + 15 8 Inf. I 103 +71 10 4 SA.. loi 27 +71 14 4-4 - 93 + 4 URSA MAJOR. 9 I 1 85 20 +39 50 4 I 86 33 +40 7 3-5 + 73 + 17 10 2 85 SO 43 S 2 A. . 85 7 44 23 5 4 - 43 + 83 II 3 86 20 43 5 4 7^^.. 86 17 43 46 4 8 - 3 + 46 12 4 86 10 47 10 S 8p. . 87 26 47 43 5 + 76 + 33 13 S 87 40 47 5 13 '^^•- 88 45 47 39 4 9 + 65 + 39 14 6 88 10 SO 30 S 24 d. . . 89 47 51 I 4 6 + 97 + 31 IS 7 90 30 43 SO 4 14 T. . 90 58 44 23 4 7 + 28 + 33 16 8 92 30 44 20 4 2-i h. . . 94 20 44 55 3 7 + 110 + 35 17 9 99 42 4 29 u. . 99 51 42 38 3 9 + 51 + 38 18 10 lOI 37 15? 4-S 30 v?- 102 48 38 4 4 5 + 108 + 49 19 II 100 40 35 3 2t,e.... 101 10 35 9 3 3 + 30 + 9 20 12 9S 30 29 20 3 gc... 96 32 29 35 3 I + 62 + IS 21 13 96 20 28 20 3 12 K 97 27 28 50 3 7 + 67 + 30 22 14 95 40 36 4 18^.... 96 47 35 S3 4 9 + 67 - 7 23 IS 95 5° 33 4 15/.... 96 41 33 17 4 5 + 51 + 17 24 16 107 40 49 2 50 a. . . 108 36 49 34 I 9 + 56 + 34 25 17 112 10 44 30 2 48/3. . 112 47 44 55 2 4 + 37 + 25 26 18 123 10 SI 3 695..., 124 17 51 29 3 4 + 67 + 29 27 19 123 +46 30 2 64 7 . . . 123 44 +46 59 2-5 + 44 + 29 SI 52 Ptolemy's Catalogue of Stars. Catalogue II — continued. No. in Baily. Ptolemy's Catalogue. 28 29 30 31 32 33 34 35 .36 37 38 39 40 41 42 ,43. 44 45 46 47 48 49 50 5,1 ,52 'S3 54 55 56 57 58 59 :6o 61 62 65 66 67 68 69 70 71 72 73 74 No. Long. Lat. Mag. URSA MAJOR — continued. Inf. 20 21 22 23 24 25 26 27 , I 2 3 4 5 6 7 8 112 40 114 10 121 40 129 so 130 20 132 10 138 o 149 sp 1.47 SP 140 10 105 o 103 20 106 10 los 10 1 01 10 .90 o +29 20 28 IS 35 IS 2S 5° 25 : O S3. 3° ■ 55 40 54 o 39 45 41 20 17-1S- 19 10 20 o f 23 o I 20 20 +22 IS 206 40 221 so DRACO. + 76 30 78 30 3 223 10 4 237 20 S 6 239 40 264 40 7 8 272 20 268 SO 9 10 289 30 338 11 350 30 12 7 40 13 352 SO 14 10 40 15 16 21 40 26 10 17 73 20 iB SO 20 19 41 50 20 118 40 21 III 40 22 159 23 159 20 24 25 26 IS8 20 160 163 27 162 40 28 127 20 29 131 10 30 109 10 31 103 10 75 40 80 20 75 30 82 20 78 IS 80 20 81 10 81 40 83 o 78 so 77 50 80 30 81 40 80 IS 84 30 83 30 84 so 87 30 86 so 8i IS 83 o 84 so 78 o 74 40 70 o 64 40 6s 30 61 15 +56 IS 3 3 4-3 3 3 2 2 2 3 5 4 4 afi. 4-3 3 4 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 6 6 S s 3 3 4-3 3 4 3 3 3 Modern name. 33 ^ 34 M 52'/' 54" S3? 77 e 79 f 8517 12 Can.Ven. 8 Can.Ven. 40 Lyncis . . 38 Lyncis . . 10 Leo. min IX IIS 36 Lyncis. . VIII 245... 3 1 Lyncis . . 21 n ilt)' 23/3 32 f. 33 7 39* 46 c. 45 d 470. S8x 57 S. 63 €. 67 P 61 a S2 V 60 r 31 ^ 44 X 43

. 41 w. 36 €. . 28 a. 25 P- 30 r- 857. 4T. 5 i'- 16 a. 5 a. 3^- 40. 9 IT. 87- 10 5. 13 «• 14 I. 37 5 33 56 9 47 346 50 337 52 339 23 358 II 7 26 346 43 348 2 350 7 343 50 351 37 152 57 154 27 155 37 160 24 171 4 177 30 186 58 186 26 }i85 S3 190 20 190 3 188 33 Lat. 186 188 187 181 177 176 59 19 10 31 9 15 186 30 172 43 171 41 172 4cJ 177 48 195 35 192 37 192 so 19s 26 198 16 200 2S 202 . 3 I 202 23 +75 15 64 17 71 68 71 73 o 54 33 56 Magni- tude in Harvard Revised Photom- etry. 65 45 62 28 60 61 61 64 3 5 49 9 +59 28 + 58 SI 58 52 60 24 54 40 49 35 54 IS 49 7 53 29 57 17 47 I 46 7 40 39 42 30 42 I 40 21 40 48 42 6 42 29 28 I 28 22 26 40 25 17 •4 ■4 ■3 .6 .6 ■3 •4 •7 .2 .6 +32 3 +44 32 0, 2. 46 II 3- 48 45 4- 50 38 5- 44 40 3- 44 57 4- 46 16 4- +49 21 4 4- 3- 3- 2. 3- 4- 4- 3- 4- 3- 5-2 4-5 V 3. 7-4.6 V 4.6 4.8 41 4-3 30 3-6 3-5 4-5 4-3 5-6 5-6 S-o 4-7 5-7 4-9 2.7 4-5 3-8 4-4 2.8 4-5 4-3 2 C— Pt. A Long. A Lat. + I2S + 56 + 147 + 10 - .88 - 37 - 19 - 4 + 23 + 42 + 67 + 10 + 17 + 37 + 17 t-- 3 + 44 + 84 + SO + 78 + 46 + S3 -I- 160 + 93 + 23 + 19 + 79 - 30 + 91 + 89 + 75 + 70 + 83 + 71 + 80 + 48 + 55 + 57 -I- 60 + 106 + 66 + 75 + 71 + 43 -,2S + •■ 2 — 10 — 6 — 27 — 4 + IS — 2 — 12 — 10 + 29 + 9 — 2 + II + 32 + 1.4 .. , o + 35 + 2S '+ 27 + 14 - 13 + 31 + 37 - 61 + 50 - 29 + I + 33 + 26 + 19 + I + 22 + 10 + 17 + 33 + 2 + 1 + 45 + 8 + + + S 7 6 54 Ptolemy's Catalogue of Stars. Catalogue TI — continued. No. in Baily. 147 148 149 ISO 151 152 IS3 IS4 IS5 156 IS7 158 IS9 160 161 162 163 Ptolemy's Catalogue. No. Long. Lat. Mag. HERCULES. 119 I 120 2 121 3 122 4 123 s 124 6 121; 7 126 8 127 9 128 10 129 II 130 12 131 13 132 14 133 IS 134 16 nt; 17 136 18 137 19 138 20 139 21 140 22 141 23 142 24 143 25 144 26 14'; 27 146 28 29 Inf. I 227 40 213 40 211 40 208 o 226 40 232 o 237 40 24s 30 241 40 .441 213 SO 220 10 220 221 10 224 225 226 20 20 240 SO 1 232 10 22s 226 20 SO 229 40 1 2x0 40 205 20 19s 40 193 40 190 10 191 10 18s 212 40 1 +37 30 43 40 10 37 10 48 49 30 1 S2 S2 SO S4 S3 S3 10 S3 30 S6 10 S8 30 59 SO 1 60 20 61 15 61 69 20 70 IS 71 IS (f2 O 60 IS 63 o 6s 30 63 40 64 15 60 o S7 30 +38 10 LYRA. 257 20 260 20 +62 O 62 40 61 O 60 o 61 20 60 20 S6 10 55 o 55 20 +54 45 CYGNUS. I 274 30 2 279 3 286 20 4 298 30 5 309 10 +49 20 SO 30 54 30 57 20 +60 o Modern name. 3 3 3 4 3 4-3 4-3 4-3 4-3 4-3 3 4-3 5 S 4 4 4-3 4 4 6 6 6 4-3 4 4-3 4 4 4. 4 5 I 4-3 4-3 4 4 4-S i 3 4-5 3 4-5 3 5 4-3 3 2 Computed for A. D. 100. Long. Lat. 64 a ... . 27^.... 20 7 . . . 7« 6s S 76 X 86 ju. . . . . 103 94 " 92? 40 f 58 e 59 <^ 61 c 67 TT 69 ^ 75 P 91 e 8s t 74 77 » 82 y 44 1? 35 (T 22 T. II ^ 6v [ ^i ^Bootis, 24 O) . . . 3 a. A^' 5^' 6fi 7f^ 1232 20 t). 21 e. 10 |3. 9 v^ 147 isx 60 12

) 43° 47 ^ 48 M 42 f 46? 50 P 49*^ 26 22 v 29 X. 24 (. . 10 K. 355 20 +24 30 3 356 20 27 4 354 20 23 4 353 40 32 4 354 40 33 30 4 355 32 20 5 349 40 41 4 350 40 42 4 352 10 44 4 354 10 17 30 4 355 40 IS 50 4 3 50 +26 20 3 31 b. 29 TT 30 25 24 27 17 19 16 X. 34 f 381?. 43^- 287 44 288 59 288 42 290 o 291 291 293 o 48 8 288 28 289 26 289 55 296 45 299 4 297 S 298 8 347 59 342 332 327 334 335 329 328 47 57 8 45 32 26 39 326 46 328 319 321 322 321 310 308 30s 323 317 312 I 46 37 9 38 19 51 32 20 56 41 355 26 356 22 354 47 3S4 8 354 56 355 21 349 52 351 5 352 II 354 18 356 3 4 I + 29 16 29 o 27 43 32 8 33 13 32 8 32 58 30 51 32 20 +30 47 +20 20 21 II 25 29 +25 5 +25 44 12 34 31 6 19 28 25 34 24 SO 35 8 34 27 28 50 29 30 17 46 18 48 14 33 15 51 16 30 15 46 22 12 41 2 34 23 +36 44 +24 20 27 4 23 I 31 31 33 18 32 18 40 58 41 39 44 o 17 33 15 SI +25 54 4.1 51 4.8 4.6 2.1 + 4 + 19 + 2 + 90 + SO + 28 2 + 58 + 116 + 55 + 25 + 64 + 45 + 28 + 9 + 37 + 47 + 28 + 15 + 32 + 26 + 9 + 36 + 61 + 56 + 67 + 49 + 68 + 59 + SI + 12 — 20 + 16 + 21 + 6 + 2 + 27 + 28 + 16 + 21 + 12 + 25 + I + 8 + 23 + II + 6 o 2 8 7 8 + + 12 + 36 + 30 - 43 - 10 + 31 I + 5 16 + 4 + 6 - 12 + 4 - 10 + 8 - 3 - 10 o - 14 - 12 - 27 - 9 - 20 - 14 - 18 - 8 + 8 - 6 — 10 + 4 + I — 29 — 12 — 2 — 2 — 21 o + 3 + I — 26 Ptolemy's Catalogue of Stars. Catalogue II — continued. 59 No. in Baily. 347 348 349 35° 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 Ptolemy's Catalogue. No. Long. Lat. Mag. ANDROMEDA — Continued. 13 14 15 16 17 18 19 20 21 22 23 I 2 3 4 I 2 3 4 5 6 7 8 9 10 II 12 13 Inf. I 2 3 4 5 I 2 3 4 5 6 7 8 9 10 II 12 50 o 16 50 17 10 IS 10 12 20 12 o 10 10 12 40 14 10 341 40 +30 o 32 30 28 o 37 20 ,f20 35140 29 O 28 o 35 30 34 30 32 30 +44 o TRIANGULUM. II + 16 30 16 20 40 16 20 19 40 16 SO + 19 ARIES. 6 40 7 40 II o II 30 6 30 17 40 21 20 23 50 2S 20 27 O 19 40 18 o IS o 10 40 21 40 21 20 19 40 19 10 + 7 20 20 40 o 5 30 7 6 o 50 40 30 5° + I 10 — I - 5 + 10 30 15 o 10 10 12 40 11 10 + 10 40 TAURUS. 26 20 26 O 24 40 24 20 29 40 33 40 36 40 33 o 42 10 43 o 39 o 40 20 -60 7 15 8 30 9 15 9 30 8 12 40 14 5° 10 13 5 45 - 4 15 4 4 3 4-3 4-3 4-3 4 5 5 5 3 3 3 4 3 3-4 3 5 5 5 6 5 4 4 4 5 5 4-3 3-2 4 5 5 5 4 4 4 4 5 3 4 4 4 4 3-4 3-4 Modern name. 37 m 35 "•••■ 577.-^ ., S4 ( = ¥> Persei) 51 ( = u Persei) SOU. .. 53 T-- ■ 42 v?- ■ ■ 49 A... 52 X- ■ • 10 2 a. 4^- 8 5.. 9 T- 57. .. 6/3. .. I7r,.. .. ZlB"- .... 81 32 v 48 e 57s 58 f... • 63 t\. .. '45 P'- •■• 46 p^. . . 43 (T. . .. 87 M Ceti . 13 a. 41 f 39 35 33 Si-- 4J-.. 2f.. I 0. . 30^.. 35 X- 49 M- 38 V.. 90 c^ . 88 t/. 54 7- 61 h\ Computed for A. D. 100. Long. 2 47 2 S2 17 53 18 18 16 9 12 27 12 35 10 II 13 49 14 12 341 36 10 32 15 56 16 41 17 10 6 46 7 34 11 38 12 28 7 7 17 44 22 6 24 19 25 31 27 13 20 27 20 22 18 30 15 21 II 12 21 47 21 56 20 33 19 43 27 9 26 39 25 26 24 45 30 54 34 12 37 8 33 27 43 16 42 21 39 19 40 23 Lat. +29 34 32 28 27 40 36 41 35 19 29 o 27 47 36 12 34 24 31 19 +43 44 + 16 46 20 28 19 28 + 18 46 Magni- tude in Harvard Revised Photom- etry. + 7 8 7 5 6 25 17 36 5 20 6 o + 58 39 41 55 20 9 28 + 5 40 9 55 10 20 12 23 11 8 + 10 44 6 7 8 9 7 38 59 31 8 SI 8 II 12 24 14 39 9 44 II 59 56 II 3-6 31 51 4.1 3-3-4-2V C— Pt. A Long. + 57 + 52 + 63 + 68 + 59 + 7 + 35 + I + 69 2 4 A Lat. + - 28 - 4 + 21 -|- 20 26 2 20 39 21 o 13 + 42 - 6 - 71 16 + 16 12 ■ 12 • 14 + 6 - 6 + 38 + 58 + 37 + 4 + 46 + 29 + II + 13 + 44 + 30 + 21 + 32 + 7 + 36 + 53 + 33 + 49 + 39 + 48 + 2S + 74 + 32 + 28 + 27 + 66 - 39 + 19 + 3 + 14 5 - 23 - 24 - 10 o - 52 - I + II + 5 + 10 + 2 - 2S - 5 + 10 - 17 - 2 + 4 - 7 - 23 - 29 - 16 + 21 - II + 16 + II + 16 61 II 4 + 6o Ptolemy's Catalogue of Stars. Catalogue //—continued. No. in Baily. Ptolemy's Catalogue. No. Long. Lat. Mag. Modern name. Computed for A. D. loo. Long. Lat. Magni- tude in Harvard Revised Photom- etry. C— Pt. A Long. A Lat. 392 393 394 395 396 397 398 399 400 401 402 403 404 40s 406 407 408 409 410 411 412 413 414 416 417 418 419 420 421 422 423 424 42s 426 427 428 429 430 431 432 433 434 436 437 438 439 TAURUS— -continued. r / 13 40 50 - 5 50 14 42 40 5 10 IS 41 50 3 16 47 10 4 17 SO 20 5 18 SO 3 30 19 57 40 2 30 20 45 40 - IS 21 55 40 + 5 22 42 30 23 41 40 IS 24 37 + 40 25 39 — I 26 38 + 5 27 38 30 7 10 ■;;. 28 42 3 29 41 40 5 30 32 10 4 30 31 32 30 3 40 32 33 40 3 40 ■ ^3 33 40 + 5 Inf. I 25 -17 30 2 50 2 3 54 1 45 4 56 2 5 59 6 20 6 59 - 7 40 7 57 + 40 8 59 I 9 61 I 20 10 62 20 3 20 II 63 20 + I 15 I 2 3 4 5 6 7 8 9 ID II 12 13 14 15 16 83 20 86 40 76 40 78 40 82 o 84 o 86 40 81 40 83 10 73 o 78 10 81 40 81 40 66 30 70 10 GEMINI. + 9 6 10 7 + - 3 40 15 o 20 5 30 4 50 40 40 20 30 30 30 o 30 15 30 3-4 I 3-4 4 5 5 3 4 3 5 5 5 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 2 2 4 4 4 4 4 5 5 3 3 3 3 4-3 4-3 4-3 77 0' , 78612 87 a 74 6 97* 104 OT 106/1 123 f 941- 112 /3 69 iji 6s K 37 Ai SO 0)2 UP 42'/' 59 X S2

? 31 43 7 47 5 65 a 48 I 10 n 17(3 r62 o^ I63 6" 76 K 69 J/ 77 i IK.. 4X 24 M 17 « 36 r 41 7 3017 32 a 31 A 27 v 16^ 5? 14 29 TT 47 P 46 i 52^ 53/ Goh 68 S ? 70 78 I 77 (^ 84 T 72 39 74 5° 64 31 66 s6 75 32 90 39 88 43 87 II 94 52 100 58 98 59 99 19 loi 8 102 16 107 14 99 54 93 3 97 53 105 57 105 58 109 46 104 36 106 46 108 50 III 25 115 3 114 16 121 s 122 59 121 28 123 31 124 2 120 SS 117 4 "S IS 117 54 122 54 129 58 128 I 131 16 + 133 14 132 22 134 43 136 58 141 142 17 145 5 ■ 6 59 10 IS ■ o 6 I I 2 3 2 22 o 23 6 51 59 27 + + + 58 23 56 I I o I o 3 — o — 5 16 + 10 IS + I 8 — 10 28 2 I I 41 S 45 7 5 5 14 + + + 10 IS 7 45 12 IS 9 35 11 43 8 42 4 44 + o 24 - I 36 -06 + o 13 - 3 19 3 52 4 3 o 2 4 28 5 54 2 44 12 49 14 17 + + 9 40 6 2 I 39 o 36 ■9 •4 •3 ■4 .2 •4 .0 .2 •3 Cum. 5-5 3-4 4.0 4.1 5.2 + 39 + 10 + 21 + 26 -|- 22 + 139 + 143 + 71 - 48 + 38 + 79 + 79 + 48 + 56 + 44 + 94 + 23 + 43 + 18 - 74 + 36 - 14 + 30 + 15 + 43 + 6 + 55 + 49 + 48 + 61 + 32 + 55 - 16 + 6s + 34 + 24 + 48 + 61 + 56 + 54 + 62 + 33 + 38 + 40 + 37 + 25 + 31 + 15 + 18 + 10 + '•52 + 14 + 29 + 31 + 13 + 18 + 8 + 14 + 21 + II + 14 - 95 + 8 + 2 + 29 - S - ID + 24 + IS + .15 + IS + 5 + 43 + 12 + 14 + 14 + 14 + 9 + 13 + 21 + 18 + 12 + 12 + 28 + 34 + 24 + .34 + 37 o + 12 + • 24 + 14 62 Ptolemy's Catalogue of Stars. Catalogue II — continued. No. in Baily. Ptolemy's Catalogue. No. Long. Lat. Mag. 487 488 489 490 491 492 493 494 495 496 497 498 499 500 SOI 502 S03 504 SOS 506 S07 508 509 Sio S" S12 S13 SH SI6 SI7 SI8 SI9 520 521 522 523 524 525 526 527 528 529 530 531 532 533 26 27 Inf. I 2 3 4 5 6 7 I 2 3 4 5 6 7 8 9 10 II 12 13 14 IS 16 17 18 19 20 21 22 23 24 25 26 Inf. I 2 3 4 5 6 LEO — continued. / / 147 30 - 3 144 30 + 11 50 126 13 20 128 10 IS 30 137 30 + I 10 137 10 — 30 138 — 2 40 144 50 +30 144 20 25 148 30 +25 30 VIRGO. 147 + 4 IS 146 20 5 40 150 40 8 150 10 s 30 149 10 158 IS I 10 163 10 2 so 167 ID 2 so 171 I 40 164 20 8 30 158 10 13 50 160 10 II 40 162 10 + 16 0? 176 40 — 2 174 50 + 8 40 176 20 3 20 177 15 10 180 + I 30 178 - 3 181 40 - I 30 178 + 8 30 I40 } 7 30 187 20 2 40 188 20 II 40 190 30 192 40 + 9 50 164 40 - 3 30 169 3 30 172 IS 3 20 177 10 7 20 178 10 8 20 185 - 7 50 LIBRA. 98 O 97 o 202 10 197 40 204 o + 40 2 30 8 so + 8 30 — I 40 S 1-2 s s 4-5 5 ,5 afi. dfi. afi. 5 5 S 5 3 3 3 5 4 3 5 6 3-2 I 3 5 6 4-5 5 5 5 4 4 4 3 5 5 5 6 5 6 2 5 2 5 4 Modern name. 91 u 94/3. .... 41 Leo. min , 54 63 X 59 f 58 tf ISC Comae Ber 7 h Comae Ber 23 k Comae Ber 3 "■■ 2^. 90.. IS V- 297. 46... SI0.. 43 5.. 30 p. 32 d\ 47 6.. 67 a. 79 f 74/.. 76 h. 82 m. 68 i. . 86... 90^. 991.. 98 K.. 105 <(>. 100 X. 107 M • 26 X ■ 40 \^ • 49... 53- •• r 61 . , . L 63 . . . 89. . 9a. 7m- 27/3. 19 8. 24 I. Computed for A. D. 100. Long. 148 38 14S 22 127 4 129 o 137 57 137 27 138 31 147 19 147 151 5 55 147 39 146 S3 151 21 151 7 ISO 19 158 2S 163 59 168 so 171 49 165 13 158 57 161 o 163 34 177 26 175 49 177 9 178 so 180 20 178 24 182 36 180 44 187 17 188 s 189 o 190 32 193 34 165 45 169 48 173 20 176 IS 178 55 179 26 185 37 198 41 197 45 202 s8 198 so 204 35 Lat. Magni- tude in Harvard Revised Photom- etry. - 3 5 + 12 23 4- 2. 13 52 5- 16 23 + I 23 4- 4- — 19 5- - 2 35 +28 2S 23 26 + 24 6 5- 4- 5 4 + 4 39 6 S 8 32 6 8 39 1 24 2 58 2 55 I 49 8 48 13 37 II 38 + 16 18 - I 56 + 8 46 + 3 13 - o 19 + I 51 - 3 12 - I 16 + 9 44 7 33 + 3 II o 9 3 3 3 7 55 39 59 24 21 II - 6 41 8 28 13 12 + o 35 2 12 8 43 + 8 25 - I 39 C— Pt. A Long. A Lat. + 68 + 52 + 64 + 50 + 27 + 17 + 31 + 2029 +2 45 +3 25 + 39 + 33 + 41 + 57 + 79 + 10 + 49 + 100 + 49 + S3 + 47 + SO + 84 + 46 + 59 + 49 + 95 + 20 + 24 + 56 + 164 + 37 + 45 + 40 + + + 5 + 33 + 32 + S3 + 13 + II 5 i°35 I 34 I 24 + 32 54 65 + 48 + 65 - 55 ■+ 45 76 37 + 41 + 45 + 48 + 70 + 35 + 24 + 25 + 32 + 38 + 29 + 14 + + + + - 13 - 2 + 18 + 4 + 6 - 7 - 29 + 21 - 12 + 14 + 74 + 3 + 20 + 15 + 9 + + + + 9 6 9 9 - 21 - 8 + 7 + 98 - 5 - 18 - 7 - 5 + I Ptolemy's Catalogue of Stars. Catalogue II — continued. 63 No. in Baily. 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 56s 566 567 568 569 570 571 572 573 574 575 576 Ptolemy's Catalogue. No. Long. Lat. Mag. LIBRA — continued. 6 7 8 Inf. I 2 3 4 5 6 7 8 9 / / 201 20 + I 15 207 50 213 206 10 4 45 3 30 9 213 40 214 20 213 30 210 20 6 40 9 15 30 + 20 211 10 — I 30 203 211 10 7 30 8 10 212 - 9 40 SCORPIUS. I 216 20 + I 20 2 215 40 — I 40 3 215 40 5 4 216 - 7 50 5 217 + I 40 6 216 20 + 30 7 220 40 - 3 45 8 222 40 4 9 224 30 5 30 10 219 20 6 10 II 220 40 6 40 12 228 30 II 13 228 50 IS 14 230 18 40 15 230 10 19 16 233 10 19 30 17 238 10 18 so 18 240 30 16 40 19 239 15 10 20 237 30 13 20 21 237 13 30 Inf. I 241 10 13 IS 2 235 30 6 10 3 239 30 SAGITTAI — 4 10 uus. 244 30 247 40 248 o 249 o 246 40 255 20 253 o — 6 20 6 30 10 50 - I 30 + 2 so — 3 10 - 3 SO 4 4 4-S 5 4-5 4-5 6 5 4 3 4 4 3 3 3 3 4 4 4 3 3 3 3 3 4 Neb. 5-4 5 3 4-3 Modern name. 21 c 387 46 fl 37 48 lA 51 ( = ? Scorp.).. 45 X 43 « o^ Arg. 14782 . . . 20 (=7 Scorp.). . 39 40 r 8^ 7S 6 TT SP 14 v / 9"' liow^ 20 ff 21 a 23 1- 13 c" XNl^id 26 € fXVI 189 At' IXVI 193 m' XVI 198 fi XVI 206 f2 XVI 302 rj XVII 138 « XVII 210 t> XVII 174 /c 3SX 34J'- ■••■•.. 7 Telescopu XVII 229. 45 d Ophiuchi. . . . 3 Sagittarii 10 7 19 5 20 « 22 X /13 m' tlSM^ 34 <^ 27^ Computed for A. D. 100. Long. 202 21 208 42 213 24 207 I 213 57 214 52 214 3 211 19 211 42 204 19 212 13 212 57 216 46 216 10 216 31 216 44 2x8 13 ■217 14 221 23 223 20 225 2 219 50 221 16 229 14 ►229 47 230 43 230 54 234 19 239 10 241 6 240 3 238 10 237 36 241 27 Lat. 236 29 240 49 244 S2 248 8 248 40 249 55 246 48 247 9 25s 57 253 43 + I 23 4 35 3 35 9 II 6 18 9 28 o 18 16 1 12 7 24 8 17 9 47 + + + + I 15 I 44 5 14 8 21 I 53 o 27 • 3 47 4 20 5 52 6 27 6 S3 II 19 15 10 19 25 19 16 19 47 19 22 16 27 15 22 13 31 13 43 13 23 6 19 — 4 10 ■ 6 37 6 12 10 43 Magni- tude in Harvard Revised Photom- etry. + 47 37 56 9 42 S-3 4.0 4-3 4.8 4-7 4.8 S-i S-o var. 3-4 3-8 3-8 2.9 2-5 3-0 4.0 4-3 3-6 3-1 1.2 2.9 4-7 4-9 2.4 2.6 4-9 3-7 3-4 2.0 31 2.5 1-7 2.8 4-4 4-3 3.1 2.8 1-9 2.9 3-8 2.1 3-3 C— Pt. A Long. + 61 + 52 + 24 + 51 + 17 + 32 + 33 + 59 + 32 + 79 + 63 + 57 + 26 + 30 + SI + 44 + 73 + 54 + 43 + 40 + 32 + + 30 36 + 44 + 57 + 43 + 44 + 69 + ' + A Lat. 60 36 + 63 + 40 + ' + 36 17 + 59 + 79 -|- 22 -t- 28 + 40 + 55 '+ 8 .+ 29 + 37 + 43 + 8 — 10 + 5 + II — 22 + 13 — 12 — 4 + 18 + - 5 - 4 - 14 - 31 + 13 - 2 - 20 - 22 - 17 - 13 - 19 - 10 - 45 - 16 - 17 - 32 + 13 - 12 - II - 13 17 + 18 + 7 — 17 — 13 + 6 + I + 8 64 Ptolemy's Catalogue of Stars. Catalogue II — continued. Ptolemy's Catalogue. No. in Baily. 'j77 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 No. Long. Lat. Mag. SAGITTARIUS — Continued. / / 8 255 10 + 45 9 10 II 12 13 14 255 40 257 40 259 10 261 20 262 20 262 50 2 10 1 30 2 2 50 4 30 6 30 IS 265 40 5 30 16 17 269 30 267 40 5 50 + 20 18 262 20 - I SO 19 264 50 2 50 20 21 22 260 257 40 256 20 2 30 4 30 , 6 4S 23 257 40 23 24 25 257 246 40 18 13 26 267 20 13 30 27 28 29 30 31 266 50 267 40 268 so 268 so 269 40 20 10 4 50 4 50 5 50 — 6 30 CAPRICORNUS. I 277 20 + 7 20 2 277 40 6 40 3 277 20 5 4 276 8 5 279 45 6 278 40 1 45 7 278 so I 30 8 276 10 40 9 281 40 3 50 10 281 so + SO II 280 50 — 6 30 12 281 40 8 40 13 286 40 7 40 14 290 10 6 50 15 290 20 6 16 288 40 - 4 15 Neb. 4 4 4 5 4 4 6 5 6 5 4-3 3 2-3 3 3 6 3 6 6 6 6 5 6 5 4 4 4 4 5 5 Modern name. 32 "' 35 "' 37 e 390 41 TT 43 <^ 44 P 46 1; 54^' 55^' 61 g 56/ •47 x^ ■49 x" $1 h^ .S2 A^ 42'/' 40 r 38 f fXIX S4 m ■ IXIX 62 (^) . XIX 68 a... XVIII 177?.. /XIX 330 (k1) txiX 333 (k^) XIX 297 t. . . S8 o) 60 A 59^ 62 c 6a\ 8 v.. 9&- r i?i. 12 o. . 10 TT. 11 p. ri3 T^ L14 T^ IS V. 16^. 18 w. 24 A. 34 f- 36*. 28 ^0. . Computed for A. D. 100. Long, i Lat. 256 3 256 12 257 I 258 33 259 50 261 55 263 3 263 18 267 47 268 13 272 2 268 35 262 55 263 2 265 25 265 18 260 37 258 27 257 14 259 20 259 22 260 II 247 17 268 25 268 34 266 6 269 18 270 8 269 29 270 37 277 21 277 25 278 2 277 37 276 I 27s 59 278 48 278 17 278 44 276 15 281 22 281 52 281 14 280 46 281 31 285 23 290 29 291 2 288 35 + o o I I I 3 4 6 5 5 5 + I — 2 I 3 2 2 4 6 21 22 18 13 13 20 5 5 6 - 6 21 25 56 9 43 30 27 20 20 24 23 41 15 50 I 50 41 42 56 53 II 4 3 9 35 26 7 14 5 S3 Magni- tude in Harvard Revised Photom- etry. + + 12 8 48 49 37 32 36 7 25 41 29 33 26 44 8 46 7 S3 6 49 6 21 4 21 C— Pt. A Long. + 57 + 81 + 53 + 40 + 35 + 43 + 28 + 127 + 153 + 152 + 55 + 35 + 42 + 35 + 28 + 37 + 47 + 54 + 100 + 102 + 191 + 37 + 6s + 74 - 44 + 98 + 78 + 39 + 57 A Lat. 22 14 — 21 — 17 + 40 — 3 — 10 — 10 — 6 — 27 — 19 — 25 o — II o — II — 12 — II + 67 + 49 4 3 39 5 16 17 24 15 23 + 3 — 10 + 22 + 8 + 17 — II ; - 25 — 12 — 9 - 23 — 38 - 6 — 5 + 5 + I - 18 — 21 + 12 — 17 - 36 — 24 - 4 — 14 - 9 — 6 _ 77 — 13 + 19 + I + 42 — 21 - 5 — 6 Ptolemy's Catalogue of Stars. Catalogue II — continued. 65 Ptolemy's Catalogue. No. in Baily. No. Long. Lat. Mag. 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 656 657 658 659 660 661 662 663 664 CAPRicoRNUS — continued. / / 17 18 19 286 40 286 40 286 40 -40! 2 50 1 20 291 50 21 293 20 4 45 22 29s 4 30 23 24 26 294 so 296 20 296 so 298 40 2 10 — 2 + 20 27 28 297 40 298 40 2 50 + 4 20 I 2 3 4 S 6 7 8 9 10 II 12 13 14 IS 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 AQUARIUS. 300 20 306 20 30s 10 296 30 297 20 287 40 286 10 284 40 309 30 311 40 312 O 313 20 306 10 307 o 308 40 301 40 303 10 311 40 311 20 304 40 308 20 307 so 315 o 314 SO 317 40 320 o 320 30 319 o 319 so 317 SO 322 40 323 10 321 40 322 10 323 10 317 o + 15 II 9 8 6 5 8 8 8 ID 9 + + 3 3 o I o 7 5 5 10 ■ 9 ■ 2 ■ o I o I 3 4 10 8 IS II o 10 50 14 o 14 45 15 40 14 10 S 5 4 4 4 4 3 3 4 5 5 5 45 s 3 40 S 50 3 IS , S 30 3 4 40 3 45 3 45 3 3 30 3 4 10 S SO 4 40 4 15 6 30 3 4 40 5 5 5 4 ID 4 10 4 30 4 40 4 30 4 5 5 4 Modern name. 25 X- • ■ 22 7J. 23 e. . . . 32 I. . . 39 6.... 43 K. . . . 407. . 495.... 42 i . . . 51 M- • • 48 X . . . 46 fi... 25 i. . 34 a. . 310... 22/3. . 23 ?••• 13 V... 6, 6. T- X. r V 2 48 52 55 62 436.. 46 p. 57 ff. 33 '■■ 38 e.. 765.. 71 r. 53/-- 68 g^ 66 gi. 63 K?, 73 X- 83 h. go (p. 92 X- 91 i^ S 93 "A' ^ 95 'A' 94... 102 w^ 105 w^ /103 A^ I104 A^ 106 i^ . 108 i'. 98 ^>i. (dup.) . Computed for A. D. 100. Long. 286 51 286 19 287 22 291 IS 293 45 29s 8 29s 16 297 I 296 40 299 12 298 36 298 58 Lat. 301 306 305 297 297 289 286 28s 310 312 312 313 306 307 308 302 304 312 312 30s 309 35 58 43 o 39 56 38 19 16 13 24 59 47 37 58 17 4 26 9 39 27 308 46 313 315 317 320 320 319 320 320 318 323 323 322 322 322 323 317 S3 44 38 40 17 21 42 II 41 o 7 28 48 4 22 48 21 II 49 39 21 IS 5 30 6 21 6 4 + 15 29 10 47 9 18 46 9 58 8 27 8 18 8 22 10 35 8 58 8 17 52 29 7 56 9 5 34 20 10 50 Magni- tude in Harvard Revised Photom- etry. C— Pt. + + 51 16 19 35 54 46 49 13 42 8 6 10 59 11 31 14 38 14 28 15 7 16 24 -14 41 5-3 3-2 4-7 31 4.8 45 4.8 3-8 4.0 4.6 3-7 41 4-3 5-4 4.9 4-3 5-4 3-5 4.2 6.3 5-4 4.9 5-3 3-8 5-6 4.4 S-i 4-5 41 5-3 5-2 4.6 4.4 5-3 5-3 4.2 A Long. A Lat. + II — 21 + 42 + IS + 25 + 8 + 26 + 41 — 10 + 32 + 56 + 18 + 75 + 38 + 33 + 30 + 19 + 136 + 28 + 39 + 46 + 33 + 24 + 39 + 37 + 37 + 18 + 37 + 54 + 46 + 49 + 59 + 67 + 56 -IIS + 18 + 13 + 44 + 8 + 40 + 27 + 31 + 52 + 31 + 31 • + 20 . + 27 -t- 18 + 38 + 4 + 22 2 - 21 - 21 - 4 - 9 - II - 15 - 15 - 30 - 44 + I - 16 - 13 - 22 - 4 - 6 - 32 + 27 - 22 - 23 - 10 - 2 - 13 - 8 - 41 - 17 - 16 - 24 - 35 - 34 - 40 - SO - SI + 136 - 29 - 25 - 24 - 66 - 19 - 3 32 9 I 41 38 28 22 44 31 + + 66 Ptolemy's Catalogue of Stars. Catalogue II — continued. No. in Baily. Ptolemy's Catalogue. No. Long. Lat. Mag. Modern name. Computed for A. D. loo. Long. Lat. Magni- tude in Harvard Revised Photom- etry. ALong C— Pt. A Lat. 66s 666 667 668 669 670 671 672 673 674 67s 676 677 678 679 680 681 682 683 684 68s 686 687 688 689 690 691 692 693 694 69s 696 697 698 699 700 701 702 703 704 70s 706 707 708 709 710 711 AQUARIUS — continued. 37 38 39 40 41 42 Inf. I 2 3 I 2 3 4 S 6 7 8 9 10 II 12 13 14 IS 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 Inf. I 2 3 / / 317 30 -IS 318 20 IS 45 3" SO 16 IS 312 40 IS 20 313 10 14 307 20 20 326 40 IS 30 329 40 14 40 329 -18 IS PISCES. 321 40 324 10 326 O 328 10 330 40 326 o 329 40 336 o 341 o 343 o 347 10 350 30 353 o 352 20 353 o 356 30 358 40 o 40 2 30 o 30 o 10 o 20 o 30 1 40 358 40 357 40 357 o 355 40 357 40 2 10 359 SO o o 331 10 332 IS 330 40 332 20 + + + IS 30 20 30 30 30 30 20 45 45 IS 10 10 o o 20 40 45 30 40 50 20 + 9 o 21 45 21 40 20 o 19 SO 20 20 14 20 < 12 o 17 o 15 20 II 45 2 40 2 30 5 30 5 30 4 4 4 4 4 I 4-3 4-3 4-3 4-3 4 4 4 4 4 4 4 6 6 4 4 4 6 6 4 4 4 3 4 5 3 5 5 6 6 6 4 4 4 4 4 4 4 4 99 ^' loi h^ 86 ci 89 c' 88 c2 79 ( = aPis. Aus.) 2 Ceti 6Ceti 7 Ceti 4/3 67 7h 10 e 171 8/c i8X 28 w 41 tf. SI (dup.).. 636 71 e 86 f (dup.) . 80 ^2 89/ 98 M 106 V Ill ^ 113 a (dup.)., no o 102 TT 99 -n •93U 82 g 83 T 68 A 67 k 65 i (dup.). 74 "A' (dup.) 79 r ^\4^ 90 u 85^ 84 X 27 29 30 33 317 2S 318 54 311 50 313 6 313 29 307 14 327 16 329 S3 329 2 -15 30 16 27 16 29 15 37 14 2S 20 S3 16 12 15 7 -18 44 322 12 + 324 39 326 38 328 52 331 8 326 28 330 18 336 8 341 34 343 46 347 44 351 6 + 353 24 — 351 40 352 S3 356 34 359 2 I 3 2 55 I IS — 30 + 24 ' 43 . 48 2 27 I 56 358 34 357 23 356 18 357 2 357 15 357 15 2 26 6 358 8 + 331 SO 332 46 331 36 332 29 — 6 30 55 4 31 34 30 27 27 8 7 I IS 32 40 s 52 2 10 44 47 16 15 21 21 54 20 39 20 S2 19 25 20 26 13 16 12 28 II 13 17 21 15 2S + 12 20 3 2 5 5 4 57 42 45 - 5 + 34 o + 26 + 19 + 14 + 36 + 13 + 2 + 32 + 29 + 38 + 42 + 28 + 28 + 38 + 8 + 34 + 46 + 34 + 36 + 24 - 40 - 7 + 4 + 22 + 23 + 25 + 45 + 20 + 4 + 13 + 18 + 27 + 16 - 6 - 17 - 42 + 82 + 35 - 25 + 16 + 16 - 112 + 40 + 31 + 56 + 9 30 42 14 17 25 33 42 27 29 — 9 — 25 — 26 + I + 4 + 7 — 18 — 37 — 8 — 9 — 5 + 28 + 20 — 45 — 12 — 17 — 40 — 4 — 3 — 4 + 15 + 21 + 9 - 61 + 52 + 25 6 64 - 32 - 47 + 21 + 5 + 35 - 24 - 27 - 12 - 15 Ptolemy's Catalogue of Stars. Catalogue II — continued. 67 No. in Baily. 712 713 714 71S 716 717 718 719 720 721 722 723 724 72s 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 Ptolemy's Catalogue. No. Long. Lat. Mag. CETUS. I 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 I 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 / / 17 40 - 7 45 17 40 12 20 12 40 II 30 10 30 14 10 10 8 10 12 40 6 20 7 20 4 10 3 24 30 3 20 28 6 40 25 10 7 27 30 352 25 20 353 30 50 355 20 349 40 15 20 345 15 40 341 13 40 340 40 14 40 339 20 13 339 14 334140 } 9 40 335 40 — 20 20 1 ORION. 57 62 54 55 64 20 66 20 66 30 66 67 20 66 40 61 40 64{S ^Afo 56 20 55 20 54 ID 50 30 49 20 48 46 20 45 10 44 50 44 50 45 20 46 20 55 20 -13 17 50 o 17 30 18 o 14 30 II 50 10 o 9 45 8 IS 8 15 3 45 \ 4 15 \ 19 40 20 o 20 20 20 40 8 o 8 10 10 15 12 50 14 15 15 50 17 10 20 20 21 30 — 24 10 4 3 3 3 4 4 4 4 4 4 3 3 4 3 3 3 5 5 5-4 5-4 3-4 Neb. 1-2 2-1 4-5 4 6 4 4 6 6 5 5 6 6 5 4 4 4 4 4 3 3 3 3 2 Modern name. 91 X. 92 a. 867. . 828... 65 ^^. 72 p. . 76 cr. . 83€... 89 IT. . 52 7-.. 59 u.. 55 f- • 45 9... 31 '?• • 19 ' 49 40 -35 49 SO 36 30 SI 20 35 40 51 20 36 40 49 10 39 IS 46 10 45 15 SS SO 41 30 54 20 44 20 61 44 59 45 SO 60 38 20 62 40 -38 10 CANIS MAJOR. I 77 40 -39 10 2 79 40 35 3 81 20 36 30 4 83 20 37 45 5 80 20 40 6 80 30 42 40 7 76 10 41 IS 8 76 42 30 9 71 41 20 10 74 40 46 30 II 76 10 45 50 12 84 40 46 10 13 81 40 47 14 86 40 48 45 IS 83 40 51 30 16 81 55 10 17 69 40 S3 45 18 92 10 50 40 Inf. I 79 30 25 15 2 67 61 30 3 71 20 58 45 4 73 57 5 74 10 56 6 58 55 30 7 60 20 57 40 8 62 20 59 30 9 59 59 40 10 56 57 40 II 52 10 -59 30 CANIS MINOR. 85 o — 14 O 89 ID —16 10 5 5 5 5 4-3 4-3 3 3 4-3 4-3 4-3 4-3 4 5 4 4 5 5 5 3 5 5 4 5 3-4 3 4 3 3-4 4 4 4 4 4 4 4 2 2 4 4 I 3 '■• 4/c. 7"- 6X. SM- 2 e. II a. 9^- IS«- 13 y- 14 f- 1617. 9a 14 e i8m 23 7 20 t iSM Sp' jv' 2/3 4^^ se 24 o^ 16 oi 255 21 e 13 « ir 31 1 .• •■• 22 Monocerotis . . . VI 90 Columbae.. VI 65 K Columbae, fVI 95 5 Columbae I =3Canismajor VI 136 X V 238 M Col.... V 276 X Col.... V 297 7 Col — V 267/3 Col.... V 196 a Col. . . . V 140 e Col. . . . 3^- 10 o. 49 17 49 26 SI 31 SI 18 48 55 45 30 54 55 53 12 60 32 58 31 59 32 62 22 78 o 79 52 80 40 83 14 81 ID 80 53 75 37 75 II 70 47 74 16 75 12 84 39 81 49 87 5 84 27 82 14 70 59 93 16 83 9 66 38 70 5 [71 57 74 5 58 16 60 54 62 34 59 56 55 41 52 10 85 48 89 40 -34 58 36 3 35 35 36 26 39 17 45 9 41 20 44 8 44 9 45 SI 38 28 -37 56 -39 II 34 57 36 S4 38 14 39 54 43 6 41 30 42 32 41 31 46 49 46 20 46 22 47 I 48 41 51 37 55 23 S3 38 SO so 22 58 60 56 58 45 56 58 55 58 55 56 57 29 58 59 59 27 57 37 -58 52 •13 42 ■15 39 -1.6 4.2 5-2 4.1 4.4 4-7 4.6 4.1 2.0 4-3 4-5 3-8 31 2.4 41 51 45 4.0 4-5 5-2 4-9 4-4 3-2 2.7 3-9 31 O-S - 23 - 24 + II - 2 - 15 - 40 - 55 - 68 - 28 - 29 - 28 - 18 + 20 + 12 - 40 - 6 + 50 + 23 - 33 - 49 - 13 - 24 - 58 - I + 9 + 25 + 47 + 74 + 79 + 66 - 22 - 75 - 63 - 5 + 16 + 34 + 14 + 56 - 19 + 2 + 27 + S + 14 2 + 6 + 10 + 12 - 9 - I - 8 + 14 - I + 3 - 24 29 + 6 - 26 - 15 - 2 - II - 19 - 30 - 12 - I + 4 - 7 - 13 + 7 10 + 34 o + 2 + 2 - 26 + II + 31 + 13 + 3 + 38 + 48 + 30 + 18 + 31 70 Ptolemy's Catalogue of Stars. Catalogue II — continued. No. in Baily. Ptolemy's Catalogue. No, Long. Lat. Mag. Modern name. Computed for A. D. loo. Long. Lat. Magni- tude in Harvard Revised Photom- etry. C— Pt. A Long. A Lat. 849 I 8150 2 SSI 3 852 4 S';^ .1 8.14 6 8.1=; 7 8i;6 8 857 9 858 ID 8S9 II 860 12 861 13 862 14 861 I."; 864 16 86=; 17 866 18 867 19 868 20 869 21 870 22 871 23 872 24 873 25 874 26 87s 27 876 28 877 29 878 30 879 31 880 32 881 33 882 34 883 35 884 36 88s 37 886 38 887 39 888 40 889 41 890 42 891 43 892 44 893 45 ARGO NAVIS. I 100 20 104 20 98 50 98 40 95 20 96 20 95 20 99 20 98 30 104 o 94 o 94 o 100 ID 102 ID 103 40 106 30 III 10 108 10 III O 113 o 114 20 125 40 126 10 124 o 129 ID 129 O 120 10 119 20 118 O 119 O 134 10 137 30 loi 10 109 o 120 o 128 30 13s 10 141 20 146 o 151 o 158 o 64 o 80 10 77 10 89 o -42 30 43 20 45 o 46 o 45 30 47 15 49 30 49 30 49 IS 49 50 53 o 58 40 55 30 58 40 57 IS 57 45 58 20 60 o 59 20 56 40 57(4^ SI 30 55 40 57 10 60 o 61 IS 51 30 49 o 43 20 43 30 54 30 2 51 15 2-3 63 4 64 30 6 63 50 2 69 40 2 6s 40 3 65 SO 3 67 20 2 62 so 3 62 IS 3 65 SO 4-3 6s 40 3-2 75 I 71 45 3-2 5 3 4 4 4 3 4 4 4 4 4 4 2 5 5 5 4-3 4-3 4-3 4-3 4-3 3 4 i\ e ISP Pup 7SPup VII 220 VII 173 VII 17s dup VII 163 3 Pup VII 200 I Pup VII 277 fVII 99 group tVIIio8 VII 68 IT Pup VII 172/ Pup ftfiPup... VII 186 tfi^Pup... U'Pup... VII 214 c Pup VIl2S4i'Pup VII 306 f Pup VII 2S3 flPup.. . . Lac. 3128 VIII 21 AiPup.... VIII 35 A^ Pup.... Lac. 3580 VIII i68tfVel.... VIII 139 ^Vel.... VIII i76flVel.... VlllisSfeVel.... r/SPyx . . . L^>Mal... VIII lA VIII It ""■«{;&::: VI" -{SS::; IXiXVel IXii6^Vel VII 13s . XIII 288 X • XIV 109 7J.. XIV 216 K. . XIII 231 f . XIII 267 xP. XIII 249 v\ Cum. CO. . . . / r. . 8 ICX39 lOIO lOII IOI2 IOI3 IOI4 lois IOI6 IOI7 IOI8 IOI9 1020 I02I 1022 1023 1024 I02S 1026 1027 1028 LUPUS — continued. 14 IS 16 17 18 19 ; / 218 50 -17 219 20 15 20 21 S 40 13 20 216 40 II 50 207 20 II 30 207 30? — 10 ARA. I 237 40 — 22 40 2 243 25 45 3 236 10 26 30 4 230 40 30 20 s 23 s 10 34 10 6 23s 33 20 7 230 50 -34 CORONA AUSTRALIS. I 249 10 — 21 30 2 251 40 21 3 253 10 20 20 4 254 SO 20 5 256 ID 18 30 6 257 17 10 7 256 so 16 8 256 30 IS 10 9 2SS 10 15 20 10 254 40 14 50 II 251 so 14 40 12 249 40 IS so 13 249 10 -18 30 PISCIS AUSTRINUS. I 2 3 4 5 6 7 8 9 10 II 12 Inf. I 2 3 4 5 6 307 o 300 40 304 10 305 20 304 20 29s 10 301 10 298 50 29s 10 291 50 291 o 290 10 278 o 281 10 284 o 282 o 283 so 283 so — 20 20 20 20 22 IS 22 30 16 IS 19 30 IS 10 14 40 15 o 16 30 18 10 22 IS 22 20 22 10 21 10 20 50 17 O -14 SO 4 4-3 4 4 4-3 4-3 5 4 4-3 S 4-3 4 4 5 4 5 4 4 4 6 6 5 5 5 4 4 4 4-3 5 5 4 4 4 4 4 3-4 3-4 3-4 S 4 4 XV2i7rj XV 2480 XV174FI.5X... XV 204 ? XVioFl. 1 i.... XV22FI. 2/. ... ^ 5 43 « ■ 6 o'' Arg. 14782. 7 20 = 7 Scorpii. . 8 39 9 40 T SCORPIUS. 1 8/3 2 75 3 67r 4 5 P 5 14" [9'^' lio u? 20 ff 21 a 23 T 13 C^ XVI 31^ 26 6 20 O 20 O 173 40 174 35 177 20 175 179 175 184 184 40 185 40 187 20 190 o 162 o 166 20 169 35 174 30 175 30 182 20 195 20 194 20 199 30 195 o 201 20 198 40 205 10 210 20 203 30 211 o 211 40 210 50 207 40 208 30 200 20 208 30 209 20 213 40 213 o 213 o 213 20 214 20 ►213 40 218 o 220 o 221 50 216 40 218 O 225 SO + 20 10 30 o 30 + 8 30 30 40 + 7 2 II 40 o 30 50 30 30 20 20 8 20 7 50 + o 40 2 30 8 so + 8 30 I 40 I 4 3 9 6 9 o o I 7 + + 15 45 30 o 40 15 30 20 30 30 8 10 9 40 + + + I 20 I 40 5 o 7 50 I 40 o 30 45 o 30 10 6 40 173 59 175 40 177 10 175 14 179 26 177 34 184 7 184 55 i8s so 187 22 190 24 162 3S 166 38 170 10 173 5 175 45 182 27 19s 31 194 35 199 46 195 40 201 25 199 II 20s 32 210 14 203 51 210 47 211 42 210 53 208 9 208 32 201 9 209 3 — II 209 47 213 36 213 o 213 21 213 34 215 3 214 4 218 13 220 10 221 S2 216 40 218 6 226 4 + + + 3 o I 3 I 9 7 3 II o + 10 - 3 14 18 52 II 15 45 36 I 56 40 o 24 3 20 3 10 7 40 8 27 6 II + + o 36 2 13 8 44 + 8 26 — I I 4 3 9 6 9 o o I 7 + 38 24 36 36 12 19 29 19 17 II 23 8 16 - 9 45 + I + + 16 I 42 5 12 8 19 I 55 o 28 - 3 45 4 18 5 6 6 50 25 51 II 17 + 19 + 6s - 10 - 6 + 26 + 134 + 7 + 15 + 10 + 2 + 24 + 35 + 18 + 35 - 8S + 15 + 7 + II + 15 + 16 + 40 + 5 + 31 + 22 - 6 + 21 13 2 3 + + + 29 + 2 + 49 + 33 + 27 - 4 o + 21 + 14 + 43 + 24 + 13 + 10 + 2 o + 6 + 14 - 6 - 28 + 22 - II + 15 + 75 + 6 + 21 + 16 + 10 + 10 + 6 + 10 + 10 - 20 - 7 + 99 4 17 6 4 2 9 - 9 + 6 + 12 + + — 21 + 14 — II — 3 + 19 + - 4 — 2 — 12 - 29 + 15 — 2 o - 18 — 20 - 15 — II - 17 86 Ptolemy's Catalogue of Stars. Catalogue III — continued. Baily's Ptolemy's No. and No. modern name. SS8 SS9 560 S6i 562 563 564 565 566 567 568 569 S70 S7I 572 S73 S74 5 75 576 577 578 579 580 S81 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 scoRPius — continued. 13 14 15 16 17 18 19 20 21 Inf. I 2 3 I 2 3 4 5 6 7 9 10 II 12 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 XVI 198 fi . . XVI 206 f 2... XVI 302,7.... XVII 1380... XVII 2101... XVII 174 K... 35X 34'^ XVII 229. .. 45 d Ophiuchi. 3 Sagittarii. . SAGITTARIUS. 107. 19 &.. 20 e. . 22 X. . 13 y>- 34 i^- • 2795. , (■32 J-l. l3S^. 37 «^- 39 o-- 41 TT. . 43'^-- 44P-- 46 u. . , /54^'-- 1S5 ^^ . 61 g. . S6/... 47 x'- ■ 3 1 I U9X' /SI ^ 152^2 42'/' 40 r 38f... . / /31 I i32 XIX 68 a . . XVIII 17 r, . /XIX330... 1X1X333... XIX 297 t. . 58 « 60 A 59^ 62 c Ptolemy. Long. -2° 40' ^226 10 227 20 227 30 230 30 235 30 237 50 236 20 234 50 234 20 238 30 232 50 236 50 241 50 245 o 24s 20 246 20 244 o 252 40 250 20 ■252 30 253 o 255 o 256 30 258 40 259 40 260 10 I263 o 266 50 26s o 259 40 1 262 257 255 253 }255 o 254 20 244 o J264 264 265 266 266 267 10 20 o 40 40 10 o 10 10 o Lat. -IS o 18 40 19 o 19 30 18 so 16 40 15 10 13 20 13 30 13 15 6 10 ■ 4 10 — 6 20 6 30 10 so — I 30 + 2 so — 3 10 — 3 50 + o 45 10 30 o 50 30 6 30 5 30 + - I 5° 2 so 2 30 4 30 6 45 23 o 18 13 13 4 5 6 Positions computed for B. C. 130. Long. 226 37 227 33 227 44 231 9 236 o 237 56 236 53 235 o 234 26 238 17 233 19 237 39 241 42 244 s8 245 30 246 45 243 38 252 47 250 33 252 57 253 51 255 23 256 40 258 45 259 53 260 8 264 so 268 52 265 2S 259 48 262 II 257 27 255 17 254 4 2s6 12 257 I 244 7 30 26s 19 10 262 S6 50 266 8 so 266 58 SO 266 19 30 267 27 A Long. Lat. -IS 8 19 23 19 14 19 45 19 20 16 2S 15 20 13 29 13 41 13 21 6 17 - 4 8 - 6 3S 6 10 10 41 - I 45 + 2 39 - 3 7 - 3 40 + O 2S 1 58 I II I 45 3 32 4 29 6 22 5 23 S 24 + I 42 2 S3 2 39 4 40 6 54 22 o 18 2 13 1 13 50 20 24 5 5 12 3 51 + 27 + 13 + 14 + 39 + 30 + 6 + 33 + 10 + 6 - 13 + 29 + 49 — 2 + 10 + 25 — 22 + 7 + 13 + 27 + SI + 23 + 10 + 5 + 13 — 2 + 110 + 122 + 25 + 8 + I + 7 + 17 + 24 + 72 + 161 + 7 + 39 — 74 + 68 + 48 + 9 + 27 A Lat. - 43 - 14 - 15 - 30 + 15 - 10 - 9 - II - 6 - 7 + 2 - 15 + 20 + 9 - IS — II + 3 + 10 — 20 — 12 - 19 - 15 + 42 — I - 7 - 26 - 18 - 10 - 3 - 9 - 10 - 9 + 60 - 2 - I - 20 - 14 - 15 - 22 - 13 - 21 Ptolemy's Catalogue of Stars. Catalogue III — continued. 87 Baily's Ptolemy's No. and No. modern name. 601 602 603 604 605 606 607 608 609 610 611 612 613 614 61S 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 63s 636 637 638 639 640 641 642 643 644 64s 646 647 CAPRICORNUS. ^ I 6 o^ 2 8 V 3 9^ + { ze S 120 6 10 X 7 " P 8 7 ff Q P3 r' 9 Ii4t2 10 15 u 11 16 ^ 12 18 w 13 24 A 14 34 f. ... 15 36^ 16 2S

j 13 43 « 14 46 P 15 S7 <^ 16 33' 17 38 ^ 18 763 19 71 T Ptolemy. Long. -2° 40'. ^274 40 275 o 274 40 -273 20 276 20 276 o 276 10 273 30 ■279 o 279 10 278 10 279 o 284 o 287 30 287 40 286 o 284 o 284 o 284 o 288 20 290 40 292 20 292 10 293 40 294 10 296 o 29s o 296 o 297 40 303 40 302 30 293 so 294 40 28s o 283 30 282 o 306 so 309 o 309 20 310 40 303 30 304 20 306 o 299 o 300 30 309 o 308 40 Lat. + 7 20 6 40 S o 45 1 45 I 30 o 40 3 SO + + + SO 30 40 40 SO o IS o so o so 45 30 10 o 20 o so 20 + 15 45 II o 9 40 8 so 6 15 5 30 8 o 8 40 8 45 10 45 9 o 8 30 3 o 3 10 o so I o 7 5 + — I 40 5 o o + - 7 30 Positions computed for B. C. 130. Long. 274 13 274 52 274 27 272 so 27s 38 27s 7 27s 34 273 5 278 27 278 4 277 36 278 21 282 13 287 19 287 52 285 2S 283 41 283 9 284 12 288 s 290 35 291 58 292 6 293 51 293 30 296 2 29s 26 295 48 298 2S 303 48 302 33 293 SO 294 29 286 46 283 28 282 9 307 6 309 3 309 14 310 49 303 37 304 27 305 48 299 7 300 54 309 16 308 59 Lat. + 7 II 6 49 4 SO 7 35 37 1 8 I 26 o 42 + 3 32 o 27 6 43 8 45 7 52 6 48 6 20 4 4 2 o I 4 4 2 2 o o 2 + + + 4 22 20 21 47 20 ID 48 38 20 14 6 29 7 + 15 30 10 48 9 19 8 47 6 10 4 59 8 28 8 19 8 23 10 35 8 58 8 17 2 2 I I O 8 8 4 5 33 + S3 30 6 55 A Long. - 27 - 8 - 13 - 30 - 42 - 53 - 36 - 25 - 33 - 66 - 34 - 39 - 107 - II + 12 - 35 - 19 - SI + 12 - IS - 5 - 22 - 4 + II - 40 + 2 + 26 - 12 + 45 + 8 + 3 o — II + 106 — 2 + 9 + 16 + 3 — 6 + + + 9 7 7 — 12 + 7 + 24 + 16 + 19 A Lat. - 9 + 9 - 10 - 25 - 8 - 37 - 4 + 2 - 23 - 13 - 5 - 12 + 2 - 20 - 5 - 21 + 3 - 20 - 20 - 3 - 8 - 10 - 14 - 14 - 29 - 43 + 2 - IS - 12 - 21 - 3 - S - 31 + 28 - 21 - 22 - 10 - 2 - 13 - 7 - 40 - 16 - 15 - 23 - 34 - 33 88 Ptolemy's Catalogue of Stars. Catalogue III — continued. Baily's No. Ptolemy's No. and modern name. Ptolemy. Positions forB. computed C. 130. A Long. A Lat. Long. -2° 40'. Lat. Long. Lat. AQUARIUS — continued. t / r / / / 648 20 53/ 302 - 5 40 302 29 — 6 19 + 29 - 39 649 21 68 g^ 305 40 10 306 17 10 49 + 37 - 49 650 22 66 gi 305 10 - 9 305 36 - 9 50 + 26 - 5° 651 23 63 K 312 20 + 2 309 55 + 4 16 -14s + 136 652 24 73 X- 312 10 + 10 311 58 — 19 — 12 - 29 653 25 83 /^ 315 — I 10 314 43 I 35 - 17 - 25 654 26 90 <)5 . . . . 317 20 30 317 34 54 + 14 - 24 6SS 27 92 X • ■ ■ ■ 317 SO I 40 317 28 2 46 — 22 - 66 656 28 9^4'^ 316 20 3 30 316 30 3 49 + 10 - 19 657 29 / 93^(^ 1 93 1^ }3i7 10 4 10 317 9 4 27 — I - 17 658 30 94 315 10 8 15 315 32 8 6 + 22 + 9 659 31 102 0)1 320 II 320 I 10 59 + I + I 660 32 105 0)2 320 30 10 50 320 31 II 31 + I - 41 661 33 fi03 A^ 1104 A^ }3i9 14 318 52 14 33 - 8 - 33 662 34 106 f 319 30 14 45 319 17 IS 7 - 13 — 22 663 35 108 i' .... 320 30 IS 40 320 37 16 24 + 7 - 44 664 36 98^.1 314 20 14 10 313 54 14 41 - 26 - 31 66s 37 99 b\... 314 50 IS 314 14 IS 30 - 36 - 30 666 38 lOI P 315 40 IS 45 315 43 16 27 + 3 - 42 667 39 86 fi.... 309 10 16 15 308 39 16 28 - 31 - 13 668 40 89 fS 310 15 20 309 56 IS 36 - 4 - 16 669 41 88 f2 310 30 14 310 19 14 24 — II - 24 670 42 79 = a Pis. Aust. 304 20 20 20 304 2 20 51 - 18 - 31 671 Inf. I 2 Ceti 324 IS 30 324 5 16 12 + S - 42 672 2 6Ceti 327 14 40 326 42 IS 7 - 18 - 27 673 3 7 Ceti 326 20 -18 IS 325 SI -18 44 - 29 - 29 PISCES. 674 I 4/3.. .. 319 + 9 IS 319 2 + 96 + 2 - 9 67s 2 67... 321 30 7 30 321 29 7 30 — I 676 3 7b... 323 20 9 20 323 28 8 55 + 8 - 25 677 4 IO0 325 30 9 30 325 42 9 4 + 12 - 26 678 5 171 328 7 30 327 S8 7 31 — 2 + I 679 6 8 k 323 20 4 30 323 18 4 34 — 2 + 4 680 7 i8X. ... 327 3 30 327 8 3 30 + 8 681 8 28 O) 333 20 6 20 332 58 6 27 — 22 + 7 682 9 41 d. . . . 338 20 5 45 338 24 5 27 + 4 - 18 683 10 51 340 20 3 45 340 36 3 8 + 16 - 37 684 II 63 5 344 30 2 15 344 34 2 7 + 4 - 8 685 12 71 « 347 50 + I 10 347 56 + I + 6 — 10 686 13 86 f 350 20 — 10 350 14 — 16 - 6 - 6 687 14 80 ^ 349 40 2 348 30 I 33 - 70 + 27 688 15 89/ 350 20 5 349 43 4 41 - 37 + 19 689 16 98 M 353 SO 2 20 353 24 3 6 - 26 - 46 690 17 106 V 356 4 40 355 52 4 S3 - 8 - 13 691 18 III? 358 7 45 357 53 8 3 - 7 - 18 692 19 113 a. . . 359 50 8 30 359 45 9 II - 5 - 41 693 20 iio 357 50 — I 40 358 5 - I 45 + IS - 5 694 21 102 X. . . . 357 30 + I 50 357 20 + I 46 — 10 - 4 695 22 99 7J. .. 357 40 + 5 20 357 14 + S IS - 26 - 5 Ptolemy's Catalogue of Stars. Catalogue III — continued. 89 696 697 698 699 700 701 702 703 704 70s 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 72s 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 Ptolemy's No. and modern name. PISCES — continued. 23 24 25 26 27 28 29 30 31 32 33 34 Inf. I 2 3 4 I 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 I 2 3 4 5 6 7 8 9 p.. |93| I94J 82 g.. 83 T. 68 h. ^T k. 65 i... 8x 4^K 90 V. 85^.. 84 x-- 27 ... 29.... 30.... 33- ■• CETUS. 91 X. . 92 a. . . 867 . 82 5 ? ?' ' ' 65 '?'..■ 72p. . . 76 (9Crat.).... a (19 Crat.) . . . o (25 Crat.) .... /3 (28 Crat) 46 7 49 T ;• 30 Monocerotis . ri5 a Sextantis. . I24 Sextantis , . . CRATER. 7 a.... IS T ■ ■ 12 5 27 f ■• 14 « 3017 z\ e.... CORVUS. la. . . 2 « sf- •■ 47.... 75 87,.... 9^.... 155 61 20 20 77 30 74 30 86 20 loi 20 100 40 102 40 102 50 los 10 107 40 no 40 116 10 118 o "5 50 116 30 117 20 123 20 126 o 128 30 13s 20 137 20 140 20 148 50 149 40 159 30 161 so 163 30 177 20 190 so 99 so ► 128 20 143 40 149 SO 147 20 154 20 146 40 156 30 149 o 162 40 161 40 164 o 160 50 164 o 164 20 167 50 Lat. — 62 15 65 50 6s 40 75 o -71 45 -IS o 13 10 11 30 14 45 12 o II 50 13 40 15 20 14 50 17 10 19 45 23 o 26 30 26 o 23 IS 24 40 23 o 22 10 25 45 30 ID 31 20 33 10 31 20 13 40 17 40 23 IS — 10 ID -23 O 19 30 18 o 18 30 Long. Lat. 13 16 40 ID II SO 21 40 19 40 1 18 10 14 50 12 30 II 45 18 10 15s 14 60 I 77 43 75 38 88 27 loi 40 100 48 102 52 102 46 105 3 107 51 no 37 116 12 117 58 115 57 116 S3 117 49 123 13 126 13 128 SI 13s 38 138 38 140 54 149 3 149 59 158 38 161 46 164 I 177 26 189 2 100 29 124 34 128 27 144 30 149 47 147 18 154 34 146 43 156 35 149 3 162 43 162 13 164 20 161 17 163 59 164 28 167 SI A Long. -64 13 66 33 66 21 76 7 -n 3 14 49 12 36 II IS 14 27 II ID 11 13 13 6 15 7 14 24 16 S3 20 s 22 34 26 43 26 12 23 17 24 41 23 33 21 s8 25 42 30 14 31 31 33 24 31 25 13 36 12 48 22 40 II 15 -ID 19 •22 42 19 40 17 40 18 17 13 30 16 4 -II 19 — 21 41 19 37 18 12 14 26 12 2 II 31 -17 SS - 6 - 79 + 13 + 68 + 127 + 20 + 8 + 12 - 4 - 7 + II A Lat. + 50 - 3 — 2 + 14 + 3 + 5 + 3 + 3 + 33 + 20 + 27 — I + 8 + I ■118 ■ 43 ■ 41 • 67 ■ 78 + II + 34 + + 15 18 + 50 + 37 - 3 + 34 + 2 + 13 — 2 + 26 + 7 + 17 + 23 — 20 + 29 + 26 - 7 - 13 + 13 — 12 + 21 — 2 + 18 — I + 78 - 33 + 34 + 12 + 13 + 3 + 19 - 4 - 52 — II - 4 - 14 + 31 - 5 + 6 + 4 -108 + 39 + 35 — 262 - 65 + 7 - 9 + 18 — ID + 20 + 13 + 10 + 6 + 31 + I 3 — 2 + 24 + 28 + 14 + IS 94 Ptolemy's Catalogue of Stars. Catalogue III — continued. Rally's No. 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 Ptolemy's No. and modern name. I 2 3 4 5 6 7 8 9 10 II 12 13 14 IS 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 984 2 3 4 5 6 7 8 9 10 II 12 13 CENTAURUS. 2g 4 A II ^k XIII S3 c... 5^ XIII 99^. XIV 40 ^. . . XIV ss«... XIV isofi XIV 141 J. . XIII 197 J-.. XIII 198 M • XIII 246^. XIII 288 X- XIV 109 TJ. . XIV 216 K. . XIII 231 f. XIII 267 i;^ XIII 249 v\ u cum / T T (T 5 P M 7 Crucis . . . /3 Crucis . . . S Crucis. . . a Crucis . . . a Centauri. /3 Centauri. fi Crucis. . . LUPUS. I XIV 211 ;8... XV 31 5... XV 987.. XV35e... X XV 242 w M K r P? fXIV 66 ri IXIV 67 t2 Ptolemy. Long. -2° 40' 187 so 187 20 186 30 187 20 183 30 193 186 30 195 30 196 30 199 20 199 50 190 40 191 20 192 30 193 40 200 10 204 50 19s 20 19s 194 10 189 30 186 20 183 10 182 20 180 180 180 SO 19s 40 1 193 40 195 187 20 192 40 1 183 40 188 30 215 40 201 30 192 20s 20 203 10 208 20 211 30 210 20 207 30 208 212 211 213 199 10 Lat. -21 40 18 so 20 30 20 o 25 40 22 30 27 30 22 20 23 45 18 IS 20 so 28 20 29 20 28 o 26 30 25 15 24 o 33 30 31 o 30 20 34 50 37 40 40 o 40 20 41 o 46 10 46 45 40 4S 43 o 43 45 SI 10 51 40 55 10 55 20 44 10 45 20 -49 10 -24 so 29 10 21 IS 21 o 25 10 27 o 29 o 28 30 30 10 33 10 Positions computed for B. C. 130. Long. 188 29 188 17 187 23 188 26 183 49 192 s8 187 I 196 10 197 17 199 52 200 24 191 41 192 4 193 34 194 40 200 4S 20s 17 195 30 19s 49 194 53 190 21 187 8 183 182 181 178 180 196 196 8 197 7 187 16 192 18 186 21 192 35 212 33 204 22 191 14 20s 31 204 I 209 7 211 s8 210 35 208 II 208 7 210 SI 209 S7 211 IS 2 4 25 9 4 6 Lat. -21 22 18 47 20 14 19 50 25 45 21 32 27 27 22 19 23 39 18 4 20 47 28 6 28 48 27 49 26 28 25 16 23 48 32 42 30 47 30 16 35 3 37 33 39 57 39 54 42 II 44 21 45 27 37 7 39 22 40 14 47 33 48 26 50 16 52 40 41 51 43 -45 54 54 30 30 ! 199 19 -24 47 29 47 21 12 20 58 25 o 26 18 28 II 28 IS 29 24 32 35 29 59 200 20 -29 20 I 200 14 j —28 SI A Long. + 39 + 57 + S3 + 66 + 19 - 2 + 31 + 40 + 47 + 32 + 34 + 61 + 44 + 64 + 60 + 35 + 27 + 10 + 49 + 43 + 51 + 48 - 8 - 16 + 8S - III - 46 + 26 + 148 + 127 + 4 - 22 + 161 + 245 -187 + 172 - 46 + II + SI + 47 + 28 + IS + 41 + 7 - 69 - 63 -los + 9 A Lat. + 18 + 3 + 16 + 10 - 5 + 58 + + + + II + 3 + 14 + 32 + II + 2 — I + 12 + 48 + 13 + + + 4 13 7 3 + 26 - 71 + 109 + 78 + 218 + 218 +211 +217 + 194 + 294 + 160 + 139 + 86 + 196 3 37 3 2 10 + + + + + 42 + 49 + IS + 46 + 35 + 31 + 29 Ptolemy's Catalogue of Stars. Catalogue III — continued. 95 Baily's No, 991 992 993 994 995 996 997 998 999 1000 lOOI 1002 1003 1004 1005 1006 1007 1008 1009 lOIO lOII IOI2 IOI3 IOI4 lois 1016 1017 1018 1019 1020 102 1 1022 1023 1024 1025 1026 1027 1028 Ptolemy's No. and modern name. 985 14 986 IS 987 16 988 17 989 18 990 19 LUPUS — continued. XV 217 r, XV 248 e XV 174 Fl. s X. XV 204 f XVioFl. I i. XV22FI. 2/.. ARA. I 2 3 4 5 6 7 a. y- 3 4 5 6 7 8 9 10 II 12 13 CORONA AUSTRALIS. fXVIII73 5^.. \XVIIl76 5'... fXVIII 166 17^. ' IXVIII 169 v'- ■ Lac. 7909 r S ^ a T- €. V. X. Lac. 7748 ? (Bode). e PISCIS AUSTRINUS. Inf. I 2 3 4 5 6 7 8 9 10 II 12 I 2 3 4 5 6 24 a. 17^- 22 7. 23 5. 18 e. I4M- r- 16X. 12 rj. IO&. i: XI 308 7 Gruis . XX 307 a Micr.. XX 403 7 Micr.. , XXI 466 Micr... XX 445 XXI 12......... 24 A Capricorni . Ptolemy. Positions computed for B. C. 130. Long. -2° 40', 216 10 216 40 213 o 214 o 204 40 204 so 235 o 240 20 233 30 228 o 232 30 232 20 228 10 }246 30 }249 o 250 30 252 10 253 30 254 20 254 10 253 SO 252 30 252 o 249 10 247 o 246 30 Lat. 304 298 20 301 30 302 40 301 40 292 298 296 30 30 10 292 30 289 10 288 20 287 30 27s 278 281 20 30 20 279 281 20 10 281 10 17 o 15 20 13 20 II 50 II 30 ■10 o •22 40 25 45 26 30 30 20 34 10 33 20 -34 o -21 30 21 o 20 20 20 o 18 30 17 10 16 o 15 10 15 20 14 so 14 40 15 SO -18 30 -20 20 20 20 22 IS 22 30 16 IS 19 30 15 10 14 40 15 o 16 30 18 10 22 15 22 20 22 10 21 10 20 so 17 o -14 50 Long. 216 13 217 II 213 17 214 35 20s 8 205 27 235 52 241 35 23 s 22 230 I 234 43 234 38 230 17 246 28 249 S3 251 20 252 44 253 58 254 27 254 31 254 o 252 26 251 59 249 17 246 S3 246 $6 304 3 297 30 301 38 302 29 301 40 292 21 299 58 29s 45 292 37 288 58 287 33 287 44 276 o 278 48 282 17 279 so 282 46 282 13 Lat. 17 9 15 22 12 55 12 59 12 47 -II 17 ■22 S3 26 22 26 13 29 59 32 so 31 57 -32 47 — 22 14 20 14 19 31 19 3 17 35 16 28 IS 2 14 13 6 59 A Long. 14 II 14 56 16 9 ■18 46 -20 S2 21 12 23 30 23 30 17 4 19 51 IS 23 15 33 15 5 16 22 17 5 22 SI IS 13 14 27 15 26 14 SI 10 48 - 7 52 + 3 + 31 + 17 + 35 + 28 + 37 + 52 + 75 + 112 + 121 + 133 + 138 + 127 — 2 + 53 + 50 + 34 + 28 + 7 + 21 + 10 - 4 — I + 7 - 7 + 26 - 17 - 30 + 8 - II o - 9 + 88 - 2S + 7 - 12 - 47 + 14 + 40 + 18 + 57 + 30 + 96 + 63 A Lat. - 9 - 2 + 2S - 69 - 77 - 77 - 13 - 37 + 17 + 21 + 80 + 83 + 73 - 44 + 46 + 49 + S7 + 55 + 42 + 58 + 64 + 81 + 39 - 16 - 19 - 16 - 32 - 52 - 75 - 60 - 49 - 21 - 13 - 53 - 5 + 8 + 6s - 36 +7° 7' +7 43 + 5 44 + 5 59 +6 12 +6 S8 NOTES TO THE CATALOGUE OF STARS. The following notes to the stars include all those found in Dr. Peters' manu- scripts. These consisted of brief notes and remarks all written in pencil on various papers. Some of his earlier notes, communicated to Harvard Annals, Vol. XIV, are superseded by later researches. 3- Long. Lat. 6. 12. 13- Long. Long. Long. i8. Lat. Most authorities have i6° o', an error of I y= i6°, for I $■' = io° lo'. Most Greek manuscripts have 74° 20', and the Arabs 74° o' — either OAT' or OA; it is more likely that the f was omitted than that it was added. Paris 2389, Vat. 1594, and all the Arabs give 17° 10'. Manitius has 17° 30'. Baily gives 26° 30'. Baily and most Greek and Arab manuscripts have 26° 40'. Trapezuntius and Gerard of Cremona give 27° 40', which has been adopted. Confusion in Arabic between 6 and 7 is very common, but it is not easy to explain an error in Greek of y = 6 for Z = 7. Baily and all Greek manuscripts give 44° o'. Sufi, B. M. Reg. 16, and Bod. 369 have 45° o'. All are clearly erroneous. Sufi finds no fault with the posi- tion. The star is certainly Fl. 30 if, which is described by Sufi and was observed by Ulugh Beg. Peters conjectures that in the original uncial Greek AZA' = 37° 15' was written as shown in the Facsimiles (page 23) and thus resembled MA = 44° o'. Baily gives 22° 30'. Baily gives 3° 30'. AH authorities agree. Latitude is 1° too large; it should be MP' = 40° 20', not MAP' = 41° 20'. 41. Long. Baily gives 12° 10'. No star exists corresponding with the position in the Alma- gest. It was not identified by Baily or Schjellerup. Manitius considers it to be Fl. 8 Leo Minor. Peters conjectured that there was confusion in the Greek between IBf' = 12° 10' and l€y' = 15° 10', which he adopts, and so arrives at the same star observed by Ulugh Beg (see photograph of Venice Codex 3i3,whereein the abbreviation for Meifcoj' might possibly be taken for j8). Bod. 3374 has similar error of e for j8 in the latitude, noted by Ber- nard about 1684. All the Arabs give latitude 22° 45', Vat. 1594, 22° 30'. 25- 26. 37- Long. Long. Lat. \XJ*^ 1 s r 1 ^y Tcrn — 1 0- t -^ To- As Xr r r/ I. MX' ■1T7 IB 5 I -^ 1 HE (7 B 9« Fig. 3. — Venice Codex jij. Ptolemy's Catalogue of Stars. 97 r 42. Lat. Most authorities give 23° o', but Ven. 313, Vat. 1594 and the Arabs have 20° 20', which is right. Baily and Schjellerup could not identify. Mani- tius considers it to be Fl. 10 Leo minor. Peters finds that the star is VIII 245. 57. The large proper motion of 61 a, R. ^.+o'.0973, Dec. -i".766, makes the identi- fication of this star right. Baily and all Greek manuscripts have 81° 20'; all the Arabs 81" 40', which is adopted. All Greek manuscripts have the incorrect latitude; the Arabs are right nr = 8o° 20' for nr=83°o'. All the Greek manuscripts have the erroneous longitude of 10° 20'; the Arabs are right. I f for I T. Baily adopts 5° 10' from Gerard of Cremona. All the Greek manuscripts have the erroneous longitude of 9° o'. The Arabs have 5° o, which is correct. One of the numerous errors of © = 9° o' for € = 5° o'. Proper motion makes the disagreement in longitude much worse. Long. Nearly all Greek manuscripts have the erroneous longitude 9° 40'. The Arabs are correct with 5° 40'. A similar error to No. 75. This is the same star as No. 147. Peters, Peirce, and Schjellerup identify this star as tj Coronse, which accords with the description, but the position agrees better with x Bootis, adopted by Bode, Halma, Delambre, and Manitius. Baily is undecided between 17 and Coronae. Positions A. D. 58 66 69 75 79 90 96 97 Lat. Lat. Long. Long. Ptolemy Longitude . ... 187 40 Latitude 46 30 100. 7j Coronae. o / 190 20 47 I X Bootis. o / 188 35 45 I 98 Not identified by Bode and Manitius. Baily and Schjellerup consider it to be x Bootis, and Halma rj Coronae. The description accords best with Fl. I o Coronae. 99 to 102. There is much diversity of opinion as to the identification of these stars. Peters considered that they were in the following order: w, h, ^, and c; Schjellerup as h, co, ^, and c; Bode, Baily, and Manitius, c, ^, h, and oj. The last accords best with the description and has been adopted. The comparisons for A. D. 100 are: Long. Lat. Long. Lat. A/ Ab Long. Lat. M Ab Ptolemy 12 13 14 IS / 188 10 186 40 187 187 40 / 41 40 41 40 42 30 40 20 03 h c / 187 10 188 19 186 59 188 33 / 40 21 42 I 42 30 40 39 -60 +99 — I +55 r -79 +21 + 19 c b CO / 188 33 186 59 188 19 187 10 / 40 39 42 30 42 I 40 21 +23 + 19 +79 -30 r -61 + 50 -29 — I 112. Lat. Baily and all Greek manuscripts have 46° 30'; the Arabs have 46° 10, which agrees best. 129. Baily has Long. 3° 40', Lat. 53° o'. He remarks that there is no authority for latitude 50° 40' adopted by Halma, but reference to the Table of Collations shows that nearly all Greek manuscripts have that latitude. Peters adopts 53° 10' as in SGfi and B. M. Reg. 16, 131. Lat. Baily gives 56° 30'. 98 Ptolemy's Catalogue of Stars. 134. Lat. All the Greek manuscripts give 63° o', which is wrong; the Arabs have the correct latitude, 60° 20'. Error of HP for Zf. 135. Ptolemy's place is largely in error. 138, 139. Ptolemy's errors here are very large, and it is singular that the errors of the positions of these stars in Ulugh Beg are about as large. The identifica- tion of the stars is probably correct, but differs from Baily and Manitius. 140. Lat. Baily gives 72° 15'. The latitude 72° o' of the Arabs is adopted. 141. Lat. All the Greeks give 64° o', and the Arabs 60° 15', which is correct. An error of HA for HA'. 146. Long. The longitude agrees closely with the computed position, but considering the large errors in Ptolemy's longitudes of the stars in Hercules, it is probably i" too large. 147. This is the same star as No. 96. 148. The identification of this star is probably correct, but the longitude and latitude are largely in error and no explanation of the discrepancy is available from the numerous manuscripts examined. Ulugh Beg has the correct latitude. 154. Long. There is no authority for the longitude 2° 40' assigned by Peters to this star. All the manuscripts give 1° 40'. The very numerous errors in Greek of A = I for A = 4 would suggest that here the longitude should be 4° 40', which agrees closely with the computed place; but seeing the large errors in longitude common to all the stars in Lyra, it is doubtful if this explanation is available. 1 56. Identified as Fl. 9 v"^, which agrees a little better and also is brighter than 8 v^, which ^ Baily has taken. 1 59. Lat. Baily gives the latitude 49° o'. 164. Long. Baily gives 19° 20'. 175. Peters considers this star the combination of 43 w' and 45 w^- All the Greek and Arabic manuscripts give the latitude as 63° 45', though 64° 45', adopted by Baily, agrees closer; Halley gives 64° 50'. 184. Baily, Bode, Peirce, and Peters agree that this is t Cassiopeia. Sufi remarks that it is in a straight line with the two preceding stars 5 and c, which proves the identification correct. The longitude is 4° in error. All Greek and Arab authorities agree in Long. 1° 40'. The only explanation is an error in the earliest manuscripts of A=i° for A = 4°, of which there are numerous instances in the manuscripts under discussion. Upon this explanation the difference of the computed place would be +78', har- monizing with the general errors of the longitudes in Cassiopeia. The latitude is 1° in error, which is less easy to explain. 206. Lat. Baily and the Greek authorities give 28° o', and the Arabs 28° 15', which is adopted. 221. Lat. Vatican 1594, Laurentian i, Venice 313, and Paris 2390 are alike in giving the latitude as Xa \X' . It is not clear what this means, but probably the iota has been written by mistake for the sign for yniiuv; thus it would be 31° 50', as in Paris 2389 and Bod. 3374. 223. Lat. All authorities, except B. M. Arabic 7475, have latitude 20° o'; the latter has 22° o', which is more nearly correct. Ulugh Beg has 21° 30'. 230. This is the same star as No. 400. 231. Long. All authorities, except B. M. Arabic 7475, have 26° o', which is 1° too small. B. M. 7475 has 27° o', which is correct. See note to No. 13. 233. Long. Baily gives longitude 20° 40', latitude 16° 20'. Most of the Greek manu- scripts have 20° 40', an error conjectured of KF for Kf. Paris Cod. 2394, 23° o', which is adopted. Grynseus 20° 20', error of Kf for Kf. For Ptolemy's Catalogue of Stars. 99 latitude there are the readings i6° 20' and 10° 20'; the latter is adopted. Sufi remarks upon the erroneous position of Ptolemy, and Ulugh Beg did not find the star. The nearest star to the position is Fl. 5, but this is only 6.7 mag. The largest star in the neighbourhood is Fl. 2 of 5.0 mag., identified by Manitius, but this gives the large errors of Long. —56' and Lat. —150'. 235. Lat. All authorities have 27°, which is 1° too small. 236. Lat. The Greek authorities have 26° 30' and the Arabs 26° 45'. 239. There is great discordance in the manuscripts as to the coordinates of this star. The identification by Baily, Peirce, and Peters as Fl. 10 X is probably correct. The Arabs have the correct longitude. The latitudes, as appear in the table, are very discordant. Peters considered the latitude as 23° 30' or 23" 50'. Cod. Ven. Greek 311, B. M. Reg. 16, and the Laurentian Arabic 156 have 23° 45'. Bodleian Arabic 369 has 28° 45', which by the common error in Arabic of ^ = 8 for ^ = 3 may well accord. Probably 23° 45' is the best to adopt. Baily has latitude 33° 50'. 246. Long. Baily and the Greek manuscripts give 26° 40', which is erroneous; the Arabs and one reading of Paris 2389 have 23° 40', which is correct. Peters remarks that if the Greek longitude is right, the star might be the Nova 1604, but Ulugh Beg observed the star 40 ^. This identification is con- firmed by Peters, Baily, and Manitius. 247 to 250. Peirce states that these stars present one of the greatest perplexities of thewhole catalogue. On reference to the Table of Collations, it will be seen that the manuscript authorities are about equally divided as to the latitude being north or south. Paris Codex 2389 gives both, which indicates that it is a compilation from more than one manuscript. Grynaeus gives 247 as north, and omits any designation to 248-250, and it is singular that these are the only omissions in his whole catalogue of designation of the latitude, probably from the conflicting evidence in the manuscripts he used. The only printed editions which give the latitude of all these stars as south are Copernicus and Clavius. Peirce has discussed these stars in H. A. Vol. IX, but he is in error in stating that Baily has altered the latitude of the i6th star. No. 249. Peters' investigation leaves little room for doubt of his correct identification of the stars, and of their lati- tudes being south. The longitude of 250 is largely in error. 250. Lat. Baily has 0° 45', which is found only in Liechtenstein and B. M. 7475. 251. There is some uncertainty as to the identification of this star. All manuscripts agree in longitude and latitude. Schjellerup and Manitius identify as Fl. 58, which would make the longitude erroneous by 2° and the latitude 1°. Bode and Halma give Fl. 2 e (Sagittarius). The nearest star to the position is Fl. 52 (adopted by Baily), which is 6.6 mag. It has been conjectured that the star may have been Nova 1604, the position of which for A. D. 100 is longitude 236° 44', latitude +2° 2', a diflFerence of 1° in each coordinate. Peters does not decide between 52 Ophiuchi and 2 Sagittarii. 255. The Arabs have the correct latitude 1° 40'; Baily has 1° 50'. 262. Sufi calls this a double star, which is Fl. 71 and 72 together. 268. Long. Most authorities and Baily give 23° 10', which is 1° too small. Paris 2389 gives 26° 10', which is nearer the computed place but is discordant with the other longitudes as being too large. 274. Lat. All authorities, Greek and Arabic, have latitude 16° 15'. But there is no suitable star in latitude 16°. Baily states that Bode and Delambre give it as 13° 15', but without authority. Bode, however, gives it as 13° o'. loo Ptolemy's Catalogue of Stars. There is no doubt that 13° 15' is taken from Halley's edition of the Catalogue {Geographice Veteris Scriptores Grcsci Minores, 1712) which is a copy in which the positions of the stars have been corrected by computation.* It is probable that the identification of the star as Fl. 3 i; Ophiuchi is correct, and Ulugh Beg certainly observed this star. The latitude should be 13° 15', and so it has been adopted by Peters. No explanation of the error in Greek is available. 285. Lat. Baily has 37° 40', but the Arabs have 38° 40', which is adopted. 289. Bode, Halma, Delambre, Baily, and Manitius make this star Fl. 54 0. Peters remarks that Fl. 59 ^ is Ulugh Beg's star and probably that of Ptolemy, but the latitude is 1° too large; besides ^ is i magnitude brighter than 0. 296. Long. Bod. 3374 and Ven. 302 have 50° 50', error of v for r;. 299. Longitude is 2° too large and latitude 1° too large. 300. Long. All authorities give 21° 10', which is 1° too large. The position of this and the preceding star in Ulugh Beg are quite erroneous. Peters has adopted 20° 10'. 304 and 309. Long. In these stars longitude is 1° too small. 305. Lat. Adopted from Grynseus and Paris 2394. Most authorities give 33° 50', which Baily adopts. 308. Lat. Several Greek and Arab authorities have 34° o'. Error of AA for AA'. 329. Long. Baily gives 9° 10'. 332. Long. Comparison with Ulugh Beg seems to indicate an error of 1° too large in Ptolemy's longitude. 346. Lat. Vat. 1594, Ven. 310 and 313, and all the Arabs have the correct latitude. 356. Lat. All authorities have 32° 30', which is 1° too large, which is confirmed by com- parison with Ulugh Beg. 357. Peters confirms Peirce in identifying this star as Fl. i 0. 360. Long. There appears to be no authority for 16° 40' adopted by Baily. 368. Latitude appears to be 1° too large; Ulugh Beg has 3° 12'; all authorities give 4° 30' or 4° 50'. 371. The position of 63 r^ Arietis agrees much better than 61 rS and was certainly the star observed by Ulugh Beg. 372. Lat. Baily has 1° 30'. 374. The position agrees well with Fl. 87 ix Ceti (see note to 716 and 717, Ptolemy's 5 and 6 Ceti). Schjellerup, following Bode, identifies both 374 and 717 as /x Ceti. The agreement of Ulugh Beg with Ptolemy is so good that there can be no doubt that they observed here ;u Ceti, while 717 does not agree at all. Manitius identifies 374 as Fl. 38, but the position for A. D. 100 is dis- cordant. A long. = +70'; A lat. = + 107'. 375. Lat. Baily has 10° 30'. 382. Long. Baily has 24° 20', but the Arabs have probably the more correct longitude, 24° 40'. 383. Long. All Greek manuscripts, except Ven. 311, have erroneously 21° 20'. An error of KA = 2i°for KA = 24°. 389. Both longitude and latitude about 1° too large. Vat. Reg. 90 and Manitius give longitude as 10° 20', an error of W — 10° 20' for ir = i3°. 392. Ptolemy probably observed 6^ and 5^ as one mass. 394. Longitude 11'' 50' is adopted from all the Arabs, one reading of Paris 2389 and Ven. 312. Baily has 12° 50', also from a variant in Paris 2389. *The only available information about Halley's edition is the following paragraph from the preface to the above work: "Quod vero hisce omnibus subjungere placuerit Ptolemaei Catalogum Fixarum Stellarum, alicui forsan mirum videatur, cum sit argumenti plane dissimilis, minima tamen dubito quin hoc mihi ignoscat, qui norit quot ab illis syderibus maculas abstersit, quantamque eis lucem afFundit CI. Hallejus; eandem scilicet, qua, Ptolemaeo ilia contemplante, enituerunt: cum diu in libris, tarn Mss. quam editis, ob voces perturbatas numerosque confusos, ilia cosli lumina crassis obvoluta fuissent tenebris." Ptolemy's Catalogue of Stars. ioi 395. Long. The Arabs give 17° 10' and the Greeks 17° 30', as adopted by Baily; the first is preferable. Latitude in Paris 2389 is erroneously 0° 15'; error of A' = o° is'for A = 4°o'. 399. Lat. All authorities have 4° o', which is wrong; error of A = 4°o' for A' = o° 15'. B. M. 7475 makes the latitude north, all the others south. Latitude +0° 15' would give the best accordance. 400. This is the same star as No. 230. 402. Lat. The Arabic Bod. 369 and B. M. Reg. 16 are the only authorities which have the correct latitude 0° 15'; all others, including Sufi, have 4° o'. Sufi remarks that "Ptolemy's latitude is false, as the latitude places the star north of the preceding star, whereas the description states that it is south." This shows that the manuscript of Ptolemy used by Sufi had the same error as in No. 399 above, viz., A = 4° o' for A' = o° 15'. 404. Paris 2390, and the two Venice codices, 310 and 313, give the latitude correctly south. 405. Long. All manuscripts agree in giving 8° o'; Manitius has 8° 30'. 406. The identification of this star is not free from doubt. Baily and Halma considered it to be 42 \l/ Tauri and this star was finally adopted by Peters, but he remarks thatUlugh Beg's position of Ptolemy's 27th star in Taurus agrees fairly with 41 Tauri, but badly with 42 xj/. Ptolemy's star is in better harmony with 41 Tauri if we could assume an error of 1° in the latitude. The errors for A. D. 100 are: A Long. A Lat. Mag. 41 Tauri.... +2 —57 5.3 421^ +25 +32 S-3 Baily adopts latitude 7° 20'. 410. Long. Baily has 2° 20'. 412. Peters considered that there was no doubt that this star is III 170 and not Fl. 18 as Baily has, which gives errors for A. D. 100 of Long. —27', Lat. — 19', mag. 5.6. Ill 170 gives errors of Long. +51', Lat. +9'> mag. 5.4. The star can not be Alcyone. Ptolemy describes it distinctly as fxLKpos (small). Gerard of Cremona gives mag. 5; all other authorities mag. 4. 415. The longitude 24° o' is adopted from one reading in Paris 2389, Venice 303, 311, 312, and the Arabs. The difference with other manuscripts is the com- mon confusion of the alpha and delta. Baily has 21" o'. 418. Peters, Peirce, and Manitius identify as FI. 129 observed by Ulugh Beg, but the star is rather small and the longitude is too small. Peirce suggests that it might be better to make 418 as Fl. 126, and to suppose that 417 had disappeared. The position of Fl. 126 for A. D. 100 would accord very well with Ptolemy's star No. 418, but the identifications adopted accord best with the description. 419 10423. Sufi remarks that the longitudes and latitudes of these stars are grossly in error. There seems little doubt that Peters' identification is correct. Ulugh Beg's positions agree fairly well with them. They are all small stars. 424. Lat. Baily and all the Greeks have 9° 30', and the Arabs 9° 40', which is more correct. 426. Long. All authorities agree, but the longitude is 2° too large. The latitude is too small. Bod. Arabic 369 gives 11° o', which is more nearly correct. 432. Baily adopts longitude 26° 10', latitude 3° o'. The Greek manuscripts give longi- tude 26° 10', and the Arabs 23° 10'; the latter is certainly the better to 102 Ptolemy's Catalogue of Stars. adopt. The latitudes are either r = 3° o' or r' = o° 20'. Adopting the latter, the position agrees with Fl. 58. Baily identifies as 76 c. Peirce as 52 Tauri, Schjellerup as b, and Manitius as 63. 434. Lat. Baily adopts 18° 15' from all authorities. Peters gives the longitude as 18° 10' for the reasons given on page 12 for believing that the instrument used for measuring longitudes was not graduated to 15'. 436. Long. Baily has 21° 20'. There is great uncertainty in the liatitude of this star in all Greek manuscripts and in the printed Greek of Grynaeus and Halma. In all cases it is represented by the character for f followed by that for ^, or in Paris 2389 and Laurentian i, by 6. There is a slight indication in Paris 2389 (though not in Laurentian i) of a separation of 6 from ^, in which case it may be possibly f with 6° as a variant. Peters considered the majority of cases he examined to be 0° 30' with variant 0° 10', not 0° 40'. All the Arabs agree in latitude 6° o', which is adopted. 438. Long. The better reading is that given by the Arabs and Vienna 14. 445 and 446. Baily, who took the Greek descriptions of the stars from Grynaeus, did not perceive the error in the descriptions of these two stars, which are equally erroneous in Paris 2389. He gives: 445. Twv iirofxevup rrj de^ca X'^'-P'- '''ov hrofievovs (?hronivov) 8l8vimv 6 fieaos tuv y. {rpiuv). 446. €ir' eWkas 6 j36peios. It is obvious that these descriptions should be as in Vatican 1594 thus: 445. Tcjv tToiiivcbv TY] de^LOL x^'P^ Tov eKOixkvav bvbvfMV rpicbv ew' eWeias 6 (Sopeios. 446. 6 jueffos TO}v rpuiiv. Baily also states that the latitude of 445 in Paris 2389 is —2° 40', but in that manuscript it is clearly —1° 20'. 445 to 448. The longitudes of these stars are all in error. The authorities give longitude of 448 as 0° 40', except Laurentian 39, Vienna 14, and Vatican Reg. 90, which give 3° o', and Gerard of Cremona, B. M. Sloane 2795, which gives 5° 40', the same as Liechtenstein; the last has been adopted. Peters remarks, "There is no other star than f Cancri that suits the position," hence the longitude is 1° too large. 449. Lat. Baily has 0° 20'. The value 0° 40' given by the Arabs has been adopted as agreeing better with the computed position, and also by comparison with Ulugh Beg. 455. Ptolemy's position is erroneous. Ulugh Beg is right. 457. Lat. Baily and all authorities give 7° 30'. The error in latitude is remarked on by Sufi and must be very old. Peters has adopted 10° 30' without authority. 458. Long. All authorities have 19° 10' (adopted by Baily) or 19° 40', except Bodleian Arabic 369, and B. M. Reg. 16, which have 15° 10'. Sufi remarked the error in longitude. There is little doubt the Arabs are correct, and we have another instance of error in the Greek of © = 9 for € = 5. Peters identifies the star as the combination of 62 0' and 63 o^. Sufi and Ulugh Beg both observed Cancri. Baily, Schjellerup, and Manitius consider the star to be ir Cancri. 459. Sufi speaks of the error in longitude, which is 2° too large. 46oand46i. The latitudes of these two stars are wrongly transposed in all the authorities. 472. Long. All authorities agree, still the longitude is i" too large. Ulugh Beg also has the longitude too large. 479. Long. Baily gives 12" 10'. 482. The identification of this star is one of the most difficult in the catalogue. Ptolemy states that it is the northern of two stars, the southern, No. 483, being well identified as 6 Leonis. Fl. 81 is possibly the star, in which case Ptolemy's Ptolemy's Catalogue of Stars. 103 latitude would agree, but the longitude would be 4° in error. Peters remarks, "if we will not assume that a star disappeared near X 251, mag. 6.8, then the correction of longitude IHr' = i8° 20' for IAr = i4° 20' is the most plausible conjecture that can be made." There is, how- ever, no evidence in the uncial Greek of papyri or of vellum manuscripts, nor in cursive Greek, of a confusion between H = 8 and A = 4. "Sufi speaks of the error in latitude of Ptolemy, but this can not be Ptolemy's star, and Sufi had another star in view, while Ulugh Beg in his observa- tioris was guided by Sufi." "Baily's identification with 71 Leonis is entirely to be rejected, since Baily himself has shown that the R. A. of 71 Leonis in Flamsteed by mistake is 2° too small." 486. Long. The authorities have either 24" 40' or 21° 40'. The former is adopted, the latter is an error of A= i for A = 4. The star is identified as 84 t. Ulugh Beg observed 69 p^- Sufi's description points to 74 (p. 487. Lat. All the Greek manuscripts, with the exception of Vat. Reg. 90, give the lati- tude as 3° 12', which is clearly erroneous. There is no other instance in the whole catalogue of the fraction \. The error is doubtless of very ancient date. The magnitude of the star is €' = 5, and the latitude and magnitude are written thus: r€'€'. It is probable that in an early manu- script the magnitude was written by mistake within the latitude column, whence the mistake arose. Manitius has latitude 3° 10' as Vat. Reg. 90. The Arabs have either 3° o' or 0° 20', a confusion of F and V. Latitude 3° o' is correct and so no doubt it was given in the original Greek. 494 to 496. The identification of these stars seems correct, and these were the stars observed by Ulugh Beg. The large error they have in common makes it look as if they were determined either differentially or by some other observer. Thus may be explained also why they are called d/xaup6s, while not smaller than many others. C-Pt. A/ M o / o / 494. -F2 29 -I 35 495. +2 45 -I 34 496. -1-3 25 -I 24 The following are the several identifications of the stars : Peters. Baily. Bode. Halma. Schjellerup. Manitius. 494- IS "^ c e ^S<: ^Sc 495 . "J h 4 Comoe. h h 12 7 496. 23 k 21 Comoe. g g 21 23 494 is given of magnitude 5, and is described by Ptolemy as Xafxirpos. In Paris 2389 and Vat. 1594 it is Xa/X7rp6s afxavpos; in the Trapezuntius edi- tion "splendida," and in Liechtenstein, "luminosa." Ptolemy designates as Xafiirpds, six stars mag. i, thirteen mag. 2, seven mag. 3, and eleven mag. 4. He does not apply the word to any other star so faint as 494. It seems probable that here is a variable star.* *These three stars of the informata of Leo, and described by Ptolemy as in the figure 7rX6fcojiios, are three of the 12 stars which he designates as A/iavpSs, the others being Nos. 40 to 43, among the informatce of Ursa major, 219, the last of the infor- mata of Perseus, and 311 to 314, the four stars in Equuleus. It is difficult to conjecture why these stars should have been designated i/tavpSs (obscure). The magnitudes range from 4.1 to 5.1, the mean magnitude being 4.7. The constellations Equuleus and wMKa/Ms are not mentioned by Aratus, Eratosthenes, Manilius, or Hipparchus in his commentary on Aratus. But Geminus (circa B. C. 77), in his work Tenlvov iurkyoiyti 4is to (jyaivo/ieva, in his enumeration of the constellations, includes the constellation irpOTO/ifi lirirov, sectio equi, "according to Hipparchus"; and he also includes 0epemKiis ttXokomos, Coma Bere- nices. (Petavius, Uranologion, p. 12.) I04 Ptolemy's Catalogue of Stars. 497, 498. The longitudes of these stars are interchanged in all the manuscripts. Baily has not corrected them. The longitude 25^" 20' he gives to 497 should be that of 498. All the Greeks have 25° 20', and the Arabs 26° 20', which is adopted. 504. Peters remarks that the stars FI. 44, 46, and 48, Virginis, mags. 5.9, 6.1, and 6.5, are near together, which may explain the greater brightness, mag. 5, esti- mated by both Ptolemy and Sufi. Combined mag. 5.0. 509. Lat. Greek authorities give 20° 10', the Arabs 15° 10'. Ulugh Beg's latitude is 16° 15'. Peters has adopted 16° o' from Halma, who is copied by Baily, and he remarks that Halma gives no authority. It is clear that Halma took 16° o' from Halley. It is of course correct, but is not supported by any manuscript. 513. Long. This is 1° too small; all authorities agree. 515. Peters and Baily agree that Ptolemy's position indicates 68 i, and both remark that it is clear that this position can not form the south following corner of the quadrilateral Ptolemy speaks of. But it is evident that the position of Ptolemy's 20th star in Virgo (correctly identified as 86) is exactly in the south following corner of the quadrilateral formed by 74, 76, and 82. The descriptions of Nos. 515 and 516 should be therefore interchanged. 517. Ptolemy's longitude is 2° too small, and the latitude error is similar in Ulugh Beg. This casts much doubt upon the identification of the star as 90 p, which, however, is not discordant with the description "in dextro crure pos- teriori." Peters questions whether there is here a variable or a star lost. 526. The identification as 53 is right, but Ptolemy's longitude is 2° too large. Ulugh Beg is also 1° too large. Baily gives latitude 7" 10'. 527. Ptolemy calls this star SltKovs; Sufi likewise. The proper motion of Fl. 61 is so great, its distance from Fl. 63 (73' in 1800) is reduced to 35'. 4 in Ptolemy's time. But could these two together appear double ? 528. Peters agrees with Peirce in identifying this as 89, but the latitude is i" too far south; Ulugh Beg likewise. Paris 2389, Vat. 1594, and the Arabs have the correct longitude, 5° o'. Baily has 0° o'. 529. The star is probably Librae. 532. Long. Baily has 19° 40', probably a misprint. 541. Ulugh Beg, misled by Sufi, here probably observed 44 rj, but Ptolemy's description does not admit this star. Greek authorities give latitude 3° o', which is probably an error of r = 3° o' for r' = o° 20'. Bod. Arabic 369 and B. M. Reg. 16 have the latitude which has been adopted. 542. Peters identifies the position of this star as Oeltzen's Argelander, 14782, which has been found to be variable. Pickering remarks that it has not been observed brighter than mag. 9. 544. Lat. The Greek manuscripts have 8° 30' and the Arabs 8° 10', which latter is adopted. Baily has 8° 30'. 551. The star is wH^^ 2 553. This star, a Scorpii, is one of the six stars designated by Ptolemy as uTTO/cippos; the others being a Bootis, a Tauri, j8 Geminorum, a Orionis, and a Canis Majoris. Questions relating to the color of these stars have been fully discussed by Nallino,* Schiaparelli,! Schjellerup,f and Knobel,§ including particular reference to the words used in Arabic texts as translation of the Greek. The word virdKippos has been erroneously considered as *AI Battani. Pars IL fRubra canicula. JAl Sufi. Description des Etoiles Fixes. §Monthly Notices, Vol. XLV; and Eleventh Oriental Congress, 1897. Ptolemy's Catalogue of Stars. 105 signifying red, its true meaning being "yellow, fire or wax-colored, cereus." and in that sense it has been correctly translated in the British Museum Arabic Almagest 7475, where the Greek word is expressed by the word t,j^x>MJ shemai, "wax-Hke;" but not so in Sufi and all other Arabic texts. In these the Greek word is rendered by the sentence though the longitude is 2° too large. 716, 717. Baily gives the longitude of 716 as 10° 20'. These two stars present much difficulty. It is suggested that 716 may be either 78 v, or 73 ^2, but both give large errors in both elements. No star harmonizes with Ptolemy's position of 717. Schjellerup and Manitius identify as ju Ceti, but this star is more probably 374, Ptolemy's 13th star in Aries. The question of these two stars remains undecided. Ptolemy. Position A. D. 100. Long. Lat. Long. : Lat. / / / / 10 10 —8 10 78 V II 58 —9 21 73 e 112 —6 I 12 40 —6 20 87 M IS 21 -s 40 716. 717. 726. The latitude 15" 20' of the Arabs has been adopted in preference to 15" 40' of the Greek, which Baily has. 728 to 731. The identification of these 4 stars seems correct; they accord with the description. Longitude and latitude of 729 are largely in error. Ulugh Beg's latitude also in error. io8 Ptolemy's Catalogue of Stars. 734. Lat. The Greek manuscripts all have 16° 30', with the exception of one reading of Paris 2389, and Cod. Ven. 303, which are 13° 30'. Sufi and the Arabs have 13° 50', or 18° 50', which are equivalent by the common error of ^ = 8 and ^ = 3. Baily remarks upon the error of 3° in the Greek authorities. Ptolemy describes this star as I'e^eXoeiSTJs, probably from it making with ^* and ^^ Orionis a small cluster. 738. Ptolemy's longitude seems 1° too large. 739. Ptolemy's longitude is too small, also when compared with Ulugh Beg. 740. Peters' identification is right. Ptolemy calls it 5lt\ovs, probably from LL 11748 and LL 1 1884 being near and south of ^. 741. Ptolemy's longitude 1° too large. 742 and 743. As Gore has correctly pointed out, the description of these stars should be reversed. 748. Lat. Baily has 20° 10'. 752. Baily denotes this as 6 g. Peters identifies as 9 0^. The same deviations in longi- tude and latitude are found here as in Ulugh Beg. Baily's star 6 g. does not agree at all. 763. Lat. The Greek 28° 20', which Baily has; the Arabs 28° 40', which is adopted. 767. Long. The Greek 26° 30', except Vienna 14, the Arabs 26° 10', adopted, but longitude still too large. 774. Long. All the authorities have 48° o', which is 1° too large, also in comparison with Ulugh Beg. 775. Long. Paris 2394 has i5 u' in which the "u" is an old cursive form of j8, and in this manuscript it would signify 14° 40'. Grynaeus has i5 e'=i4° 12'. 777. Long. Several Greek manuscripts have 16° o' for 10° 10'; error of I? for I?'. Baily has 18° 20', for which there is no authority. 778. Lat. Halma has 25° 20', which he has taken from Halley. 779. Baily has longitude 3° 30', and latitude 28° 30'. Peirce considers the star to be 98 Heis. Peters agrees with Baily and Schjellerup in identifying as 40 o^ 781. Lat. All authorities give 32° 50'. Halma gives 33° 10', which he has taken from Halley. 786. It is not possible to decide whether the star is p^ or p'. Ptolemy observed them as one mass. 787. Lat. The Greek authorities give 23° 30', while the Arabs have 23° 50'. Halma alone has 24° 30', taken from Halley, and Baily adopts it. Peters did not notice the extracts from Halley made by Halma and Baily, and which he had adopted. In the present case the reading of the Arabs is taken. 788. Flamsteed remarks that a star noted by Ptolemy as of the 4th magnitude, and which is the 17th of the constellation Eridanus in his catalogue, could not be found now. About the position of the star all editions agree; it is the same in all existing manuscripts, both Greek and Arabic, and was the same also in the manuscript used by Sufi. Sufi says of this star: "The 17th, which precedes the i6th, is the last of the four, and at the western extremity of the series, near the four stars situated on the breast of Cetus. It is of the smaller ones of the Sth mag., almost of the 6th, and there is between it and the nearest star of the four situated on the breast of Cetus, that is, the loth of Cetus, less than one 'coudee.' " Bode takes the star to he a Eridani (Bayer and Ideler Hkewise), but says that since Flamsteed it is wanting upon all star charts and in the sky. Manitius takes it to be r;, and the preceding star p^ According to Ptolemy's difference with ij Eridani, the star could be Heis 10, 6.7 mag. = W. B. 2^ 788. According to Sufi's description, the star seems to be nearer to € Ceti (moins d'une coudee) than to t; Eridani. He puts the distance between p and rj Eridani as one coudee. Ptolemy's Catalogue of Stars. 109 The following table shows the comparison between Ptolemy, Ulugh Beg, and com- puted positions, for A. D. 100, assuming the star to be W. B. 2'' 788: Ptolemy's star. Ptolemy. Ulugh Beg reduced. Name. Computed. Mag. Long. 1 Lat. Long. Lat. Long. Lat. 16 Eridani. . 17 Eridani. . 10 Ceti 3 4 4 / 12 10 10 3c 6 40 / -23 30 -23 IS -25 10 / 12 37 II 3S 7 46 / -24 3S -24 17 — 26 20 71 Eridani. . . . W. B. 2''788. e Ceti / 12 14 II 7 6 48 / -24 41 -24 S6 1 — 26 7 ' We get the differences: 17— »j Eridani. 17 — e Ceti. Long. Lat. Long. Lat. Ptolemy. . . . Ulugh Beg. . . Computed. . . / — I 40 — I 2 -I 7 + IS + 18 -IS / +3 SO +3 49 +4 19 / + 1 SS +2 3 + 1 II The star W. B. 2^ 788 is therefore the nearest. Ptolemy calls 17 Eridani of the 4th magnitude, but Sufi of the 5th magnitude, small, almost the 6th. In Harvard R. Pho- tometry 7] Eridani is 4.0 mag. and e Ceti 5.0 mag. The Uranometria Argentina gives the magnitude of W. B. 2^ 788 as 6.4. In the following chart the position of W. B. 2*" 788 is marked by a +. Fig. 4. — Chart of the Position of Ptolemy's Star 17 Eridani. 110 Ptolemy's Catalogue of Stars. 798. All the Greek manuscripts have the latitude erroneously 53° 20'; the Arabs are right. The longitudes of this and the following star are 1° too large, also by comparison with Ulugh Beg. 798 to 804. There is some confusion in the nomenclature of these stars, which are named v^ to u', but in different order. The designations given by Peters are those of Taylor's Madras Catalogue, the maps of the S. D. U. K. and Proctor's Atlas. The reverse order is adopted in the Uranometria Argen- tina, Cape Catalogues, by Peirce, Houzeau, Schjellerup, and Manitius. 802. The position agrees better with III 202, though Ulugh Beg observed III 189. 803. Ptolemy's position agrees better with Lac. g, though Ulugh Beg observed Lac./. 804. Ptolemy's latitude is 2° or 3° too small. Sufi's description of Ptolemy's 31-33 identifies them as Lacaille g, f, and h. 805. Several Greek authorities give the longitude 7° 30'; one reading of Paris 2389 and all the Arabs have 0° 10'. Halma gives as a variant 27° 30', which he has clearly taken from Halley. In Paris 2394 the degrees of longitude are represented by an old cursive form of the letter ^ and so the longi- tude is 60° 40'; Grynaeus has the longitude 60° 40', precisely the same. Baily gives Grynseus erroneously as 7° 40'. All authorities, even Sufi, designate the star as of the first magnitude. The nearest star of the first magnitude is a Eridani, which could not have been seen by Ptolemy and Sufi. The position is near the place of 6 Eridani. Peters suggests that Ptolemy's place may be a compilation from inaccurate sources; he remarks that Sufi clearly considered 6, and not a Eridani. The com- puted positions of the two stars for A. D. 100 are: Long. Lat. o ' o ' e Eridani... 356 47 -53 50 a Eridani... 318 27 —59 16 It is surmised that there is a large error in Ptolemy's position or that the magni- tude has changed. Peters, Baily, Peirce, and Manitius identify the star as 9, Halma and Schjellerup as a Eridani; Delambre adopts Halley's longitude, 27° 30', and adds in a note "La derniere brillante du Fleuve ne pent etre que la derniere de I'eau du Verseau, qui s'appelle aussi le Fleuve ou leNil." Eridani shows no signs of variability; it is there- fore highly improbable that its magnitude has changed from a first to a third magnitude star. All Almagests give mag. i, and it is most prob- able that in a very ancient manuscript the delta = 4 was erroneously taken to be an alpha = i, of which the present investigation shows numerous examples. Thus Ptolemy's magnitude should be 4. A cor- responding error is found in the Bodleian Greek Almagest, where the magnitude of Sirius is given as 4 instead of i. 806. Long. Baily adopts 19° o', but the authority for 19° 40' is much stronger. 813. All Greek authorities give longitude 24° 50'; the Arabs (Bod. 369, B. M. Reg. i6,Laur. 156, and Sufi) have 24^" 20', which is better and has been adopted. 822. All the manuscripts have longitude 25° 20', which is erroneous. Sufi has 20° 20', which is right. 833. All authorities give longitude 23° o'. Peters suggests that it should be 21° o' and it would then compare with Ulugh Beg. 836. Peters identifies as 22 Monocerotis (4.1 mag.) in preference to 19 Monocerotis (4.9 mag.); adopted by Baily and followed by Manitius, though the position of the former is more largely in error than the latter. Ptolemy's Catalogue of Stars. hi 837. All authorities give longitude 10° o', which is 3° too large. Ulugh Beg is right. Peters has adopted 7° o'. 843. Lat. The Greek manuscripts have 59° 50', and the Arabs 59° 30', which is better. 848. Long. The Arabs have 29° 10', which is better than 29° 30', as in the Greek and Baily. 849. The nomenclature of the stars in Argo is very confusing. The Index in Harvard Annals, vol. 50, has been followed as far as possible. 855. Latitude is variously given as 49° 15', 49° 30', 49° 45', and 49° 50'; 49° 30' seems to have the most authority. Baily adopts 49° 15'. 856. Latitude 49° 30' of the Arabs is preferable to 49° 50' ofthe Greeks, which Baily takes. 859. Sufi's description leads upon Lacaille 2834. Mag. 5.3, U. A., the computed position of which is longitude 96° 7', latitude — 52° 6', giving errors of longitude + 127' and latitude +54'. 861 . Lat. Baily gives 56° 30', for which the only authority found is the Crawford Codex. 865. Lat. Greek 58° 40', Arabs 58° 20', the latter adopted; but this is not Ptolemy's star, whose position accords better with the group VII 102, 108, and 113. 867. Peters remarks that there is no star in the position described by Sufi. 868. Long. Baily adopts 23° 10'. 869. Lat. Greek 57° 40', and Arabs 57° o'. 870. Peters identifies this star as Lacaille 3580, mag. 5.8, but questions whether it is not too small. There is no star in the place described by Sufi. 875. Lat. Baily adopts 51° 40'. 879. Long. 14° 10' has much better authority than 15° 10' given by Baily. 880. Lat. All authorities agree, but it is i" too far south. 882. Long. This is 2° too small, also by comparison with Ulugh Beg. Sufi's description leads to Lac. 3022, which does not agree at all; longitude 113° 2', latitude —65" 24'. 884. Ptolemy's longitude wrong. There is no other star here larger than mag. 4. 885. The identification of this star is probably correct, but longitude is 3° in error. 886. The identification right, longitude too small. 887. Identified as / Carinae, with which the position agrees, but the magnitude is 4.6, which is entirely discordant with Ptolemy's mag. 2. Baily adopts i Argus, btit this involves an error of 12° in longitude and 3° in latitude. Schjellerup also adopts t Argus, the magnitude of which is 2.2 (H. R.). Is/ Carinae variable.? Sufi's description of the latter half of the constellation Argo is accurate and agrees with the sky (except Nos. 19 and 22, where there are no stars to be seen now). But the positions of Ptolemy and of Ulugh Beg do not agree with Sufi in many places. 889. Lat. Baily has 65° 15', for which there is far less authority than 62° 15'. 895. Lat. Baily has 13° 40'. 897. Lat. Paris 2389 confirms the Arabs' 14° 45', which agrees better than 14° 15'. 898. The latitude 12° o' ofthe Arabs agrees better than 12° 15' ofthe Greek. 899. Sufi has latitude 14° 40', an error in the degrees of A for A. 900. Sufi has the erroneous latitude of 19° 20'. 904. The identification of this star as LI. 18657 = W. B. 9'' 439 agrees better than Baily's star Fl. 28 A. Manitius gives it as Fl. 29. 905. All authorities have latitude 20° 30', which should be 23° o'. Probably it was 20° 20', with the common mistake of Kf' for Kf. 908. All Greeks have latitude 26° 15', which is erroneous. The Arabs have it correctly, 23° 15'. Baily adopts 23° 35' from Liechtenstein, which is an obvious mistake of Gerard of Cremona. 112 Ptolemy's Catalogue of Stars. 909. Lat. The correct latitude of 24° 40' is found in the Greek manuscripts Paris 2389, 2390, Ven. 312, Vat. Reg. 90, and the Arabs. All the others, including variants in Paris 2389, 2390, and Ven. 312, have 45° 30', or 49° 30' (e for 6). It is possible that in a very ancient manuscript the latitude of a star in Argo was copied inadvertently into Hydra. 910. Ptolemy's longitude is 1° too small, also in comparison with Ulugh Beg. 914. Longitude 1° too large, also by comparison with Ulugh Beg. 918. Ptolemy's longitude and latitude quite erroneous. B. M. Sloane 2795 gives latitude 13° 40', but probably copied from the previous star. Ulugh Beg is right. 920. All authorities give latitude 16° o', probably an error of If =16° o' for lv' = io° 10', which is adopted. Ulugh Beg's errors are similar. The position accords best with 24 Sextantis, longitude 131° 36', latitude - 10° 18', but that star is only mag. 6.7 (U. A.). Sufi certainly describes 15 a Sextantis (mag. 4.5), and this star is adopted by Schjellerup and Peirce, but it assumes an error of 3" in the longitude. To all appearance there was here a star seen by Ptolemy, Sufi, and Ulugh Beg that now is not visible or shining prominently. Manitius identifies as 8 Sextantis. 927. The longitude of the Arabs has been adopted. Baily gives 1° 20'. 940. The large proper motion of 6 Centauri, amounting in 1700 years to 28' in latitude, increases the discordance with Ptolemy's latitude, which is 1° toofar south. 956. Peters identifies as Lac. 5390/ as Baily; Schjellerup as ^. Sufi calls the star double, which clearly refers to ^^ and ^^ but the position of ^^ (longitude 190° 28', latitude 38° 42') deviates more than S390/. 962 to 971. There are very large errors in the longitude and latitude of these stars com- mon to all the manuscripts. Some of the errors may be accidental, or due to the scribe, but the general inference is that the observations were made by different observers. (See note to 494-496.) 964. Sufi finds no star visible near Ptolemy's place. It should be, as Sufi remarks, of mag. 3, following upon the 29th star (No. 963). The nearest star would be Lacaille 5632 q, but the magnitude is 5.4. 969. Long. Peters considered that there was here the not uncommon error in the Arabic of 8 for 3, which would make the longitude 213° 20', but the resulting error is equally large, though of a different sign. 971. Cod. Vienna 14 and Cod. Vat. Reg. 90 give the longitude as 11° 40'; all other Greek sources, as well as the Arabs, give 14° 40', an error of A for A. The adoption of 11° 40' would give a more consistent error in Ptolemy's longitude =+2° 43'. 979 to 981. The errors in longitudes of these three stars differ from all others in the con- stellation Lupus in that they have a minus sign. From this Peters inferred that they may have been derived from a different observer. 982. Long. The Greeks 22° o' and the Arabs 20° 20'. Peters corrects it to 26° o'. The identification of this star presents considerable difficulty. The descrip- tion states "Australis de tribus quae sunt in extrema cauda." The fol- lowing star, 983, correctly identified as i Lupi, is "Media ipsarum," and the next, 984, also correctly identified as t^ and t^ is "Borealis ipsarum." Peters first suggested that the star was Lac. 5209, but this is in Crux and a long way from the described position. Sufi could not find the star and of course it is omitted by Ulugh Beg. Peters finally adopted Lac. 6003 p, which, assuming an error of 4° in longitude, would agree well; but the position is quite discordant with the description. Manitius identifies 982-984 as a, p, and a Lupi, the positions of which would accord with the description, but involve very large errors in longitude; moreover, a Lupi Ptolemy's Catalogue of Stars. 113 seems well identified as Ptolemy's second star in Lupus. Daily's iden- tification for the three stars is Lac. 1201 t, 1215 i, and 1209 k (i20i=t and 1209 = 7^). It must remain a question whether there is here a vari- able or a lost star. 983. Long. Daily has 24° 50'. 989. Peters' identification agrees with Daily and Manitius. The longitude and latitude of the Arabs has been adopted. Daily gives longitude 27° 10', latitude 11° so'. 990. All authorities give longitude 26° 30', except D. M. Arabic 7475, which has 27° 30'. Halma has 27° 30', which would be much better. Peters questions his authority. There is no doubt that Halma took it from Halley's edition. Ulugh Deg's longitude is also 1° too small. The latitudes of the last three stars in Lupus are 1° too far north. 992. Several Greek authorities have longitude 3° o'; the Arabs 0° 20'; the former is adopted — an error of r' = o° 20' for r = 3° o'. Daily adopts 3° 10'. 993. Long. Daily adopts 26° 20'. 994. Lat. With the exception of Ven. 311, Laur. i, and Laur. 6, all Greek codices, as well as Grynaeus and Halma, have latitude 1° 30' instead of 30° 30'. An error of A=i" for A = 30°. 997. Latitude 34° o' adopted from the Arabs. Daily has 34° 15'. Peters agrees with Schjellerup in the identification of the stars in Ara. Daily identifies in this order: 7, e, S, a, jS, 17, 6. There is a large error in all the longitudes, averaging 2° 18' too small. These errors resemble those already referred to under 494-496, and 962-971. 998. Peters identifies as Telescopii, as it agrees better in longitude, but remarks that it is not probable that a Telescopii should have been omitted. 1000. Daily identifies as 1566 f, which star Peters identifies in No. looi. looi. Daily identifies as ^3. Peters considers /3 to be 1003. 1004. Longitude 16° 50' adopted from Cod. Vat. 1594, and the Arabs. Daily has 16° 20'. 1008. Daily has latitude 15° 50', for which there is no authority; it is probably a misprint. 1009. Identified as Lac. 7748, which agrees better with Ulugh Deg's observations than Lac. 7758 = 1 528 K, identified by Daily, Schjellerup, and Manitius. Sufi's description refers clearly to Lac. 7748. lOii. This is the same star as No. 670. Daily gives latitude 23^ o', though for No. 670 he has 20° 20'. 1013 and 1015. Vatican Reg. 90 gives the longitudes as 30° 10' and 30° 20', respectively. Probably the original degrees were A = 4, then erroneously A=l, then erroneously A = 30. 1017. Peters remarks that longitude 2° 10', adopted by Halma, would be much better, but there is no authority. Here again Halma has taken the longi- tude from Halley, which, as already pointed out, is not a collation of any manuscripts, but an edition in which many errors are corrected by computation. 1023. Daily has taken the Greek description of this star from Grynaeus, which is identical with Paris 2389; both are erroneous, as they omit the word rpiwv. Vatican 1 594 is correct. 1023 to 1028. Peters identifies these six stars, forming the informata of Piscis Austrinus, as Lacaille 8579, 8639, 8761, 8685, 8731, and 8689. The identifications are not open to much doubt, but there are large errors in the coordinates of the six stars, averaging in longitude -|-i° 21', and in latitude -|-6° 36'. Upon this identification 1028 is the same star as 613. TABLE VI. Differences of Identification. Baily's No, Ptolemy's No. URSA MAJOR. l8 lO Inf. s Inf. 6 Inf. 7 40 42 CEPHEUS. 86 I Inf. I BOOTES. 97 98 99 100 lOI 102 ID II 12 13 14 IS HERCULES. 139 140 20 21 22 LYRA. 156 I 8 CASSIOPEIA. 184 I 7 185 8 186 9 PERSEUS. 196 218 Inf. 6 2 AURIGA. 227 228 233 9 14 OPHIUCHUS. 246 247 248 249 250 13 14 IS 16 17 AQUILA. 289 290 Peters. 30^.. . . , 10 Leo minor. IXiis. .... 36Lyncis. . . IX Cephei . Baily. 2 7j Cor. Bor I Cor. Bor 41 CO. 46* 43"/- 4Sf 74 •• 77X. 823;. 9 v'' 3S(Hev.)i. 33 e 34^9- ••• i8(Hev.)t 14 (Hev.) Camel. 1077 8f 14 40 f 36A. 420 44* Sif ^ |Sagittarii S9?- 507- 44 Lyncis .... ?io Leo minor. ?XXI 248 . Schjellerup. *= 10 Leo minor. Peirce. 63 Heis. ?i or 2 Cor 48x. • 45 c.... 431^- ^6b.... 41 CO. . Bor. 77^. 82y. 88 z. 8i;i .?Il72. 33«--- 34^- 112531. IV7... IOT). 8f. 4-- S2. S40- 507. V Cephe r\ Cor. Bor . X b... CO. . . , c . . . 7} Cor. Bor. 12 Hev. Camel 40. 36. e. . 44- SI 58. 40. 7Behr V . o. 7- Manitius. 1 1 Leo minor. 8 Leo minor. ID Leo minor. 34 Hev. Camel. A e b SI S8 114 Ptolemy's Catalogue of Stars. Differences of Identification — continued. 115 jBaily' si Ptolemy's ' No. I No. DELPHINUS. 308 309 EQUULEUS. 3" 312 313 314 PEGASUS. 327 328 355 356 357 13 14 ANDROMEDA. 21 22 23 TAURUS. ! 401 22 403 24 404 25 409 30 410 31 411 32 412 33 415 Int. 3 417 Inf. 5 418 Int. 6 i 419 i GB Int. .MINI 7 ' 432 9 1 445 Inf. 4 446 Int. S 447 Int. 6 448 CA Int. NCER 7 458 Inf. I 460 Inf. 3 461 Inf. LEO. 4 482 21 483 22 486 25 ' 494 Int. 6 495 Int. 7 496 V Int. [RGO. 8 504 8 512 lb 514 18 515 19 528 Inf. 6 Peters. 3*? 4f 8a IO/3 57 7« sop 49'^ 49A 52X 10 69 u' .... 37 Ai 500,=' 191? 23 i ;2S'? 127/ Ill 170. . . . 109 M. . . . 126 I 29 121 58 85 81 g 74/........ i6f Cancn. f 62 o* 1.630'' 69J' 77 i 706 84T 15 c Comae. 7 A Comae. 23 k Comae. 46 74^ 82 OT 68 J 89 Baily. 3'). 4f. o a. lOjS. ST 73. sop- 49 yv^ 22 Monocerotis . . VI 9 fl Columb. . . VI 65 K Columb. . VI 95 S Columb. . VIi36XCan.maj, V 2381* Columb. V 276 X Columb . V 297 7 Columb . V 267 p Columb . V 196 a Columb . V 140 € Columb . VII 200 I Pup. /VII 99 IVII 108 VII 68 IT Pup.. VII 172/ Pup.. i VII 1 86^ ■ 439 38 K 39"' 40 u* 30 Monocerotis . f24Sextantis I15 aSextantis. . 27 f I4« 30'? 21 e XIII 99^ XIV 40^ XlVsSa XIV ISO fi XIV 141 i. ... XIII 197 y XIII 198 JU XIII 246^ XIII 288 X XIV 1091? XIV2i6(c XIII 231 f XIII 2671^2 XIII 249 u' . . . CO / 7 T a 5 P M € Q 7 Crucis j3 Crucis S Crucis a Crucis ;8 Cent /i Crucis h c 471 Lac g h }28A. . 38 K.... 39^1... ^ox?. . . I 27 f- I4e. 30»?. 21 d. 1150 1205 1207 1234 1232 1165 1 166 1182 1191 1219 1255 1 177 1 184 1183 1 148 1123 1098 1093 1086 1064 1068 "55 1070 1 107 I02S 1082 1185 1 107 Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. Lac. o. . , IT . . p. . T. . . V. . P ri Columb . fArg T Pup . . . bK.... ' 92 f 4of 58 a 59 '^ 61 c 67 X 691? 75 P 91 fl 85' 74 77X 82 y 44 '7 35*^ 22r Il

mag. 3. Paris 2389, Vat. 1594, Ven. 313, and Manitius have mag. 4; B. M. 7475, mag. 3-2; Bod. 369, and B. M. Reg. 16, mag. 4-3. No authority for Peters' mag. 4-5. 588 ■9- {pf; }B. M. 7475, Laur. 45, and Sloane 2795, mag. 5. 594 25. XVIII. 17 CAPRICORNUS. Laur. 48, mag. 3-4. 602 607 608 611 2. 81- 7. II p 8. T a II. 16^ AQUARIUS. Bod. 369, mag. 5. Bod. 369, mag. 5. Ven. 312, mag. 6. B. M. 7475, Laur. 45, Sloane 2795, mag. 6. 632 673 4. 22/3 Inf. 3. 7 Ceti. PISCES. Gerard of Cremona in three manuscripts, mag. 2. Ven. 313, Ven. 312, Vat. 1038, Laur. 45, Sloane 2795, mag. 4. 674 700 I. 4/3 27. 67 k CETUS. Vat. 1594, Vat. 1038, Ven. 313, Ven. 312, Ven. 310, Laur. 48, and Manitius, mag. 4. The mag. 4-3, adopted, is from Paris 2389, Ven. 302, Laur. 6, Laur. 45, B. M. 7475, and Bod. 369. Ven. 313, mag. 5. 726 727 730 731 732 IS- 45 » 16. 317? 19. 17 f / / / / / / / / 1 / 16 16 16 29 20 16 16 29 20 3 20 10 10 19 40 10 10 29 20 16 24 40 10 10 19 40 19 40 17 10 17 20 17 10 25 10 25 10 25 10 26 10 26 10 26 40 26 20 26 40 26 20 26 40 26 20 26 40 26 40 26 40 26 40 10 13 6 20 20 5 30 22 10 3 10 20 22 20 22 20 22 10 3 10 20 20 20 20 3 20 20 24 10 21 10 9 30 6 20 6 20 10 20\ .13 20/ 29 10 29 20 27 50 26 16 20 20 10 16 20 14 10 21 40 21 40 22 28 20 40 40 26 30 13 40 23 23 Ptolemy's Catalogue or Stars. Collations of Manuscripts — Longitudes — continued. 153 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 4S- B. M. S. 279s • B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. IS6. Vienna Trap. 24. I 2 3 4 i 7 9 10 II 12 13 14 15 16 17 18 19 20 21 23 24 27 28 29 30 31 32 34 36 37 39 42 44 % 47 49 50 51 56 57 58 60 61 62 64 65 1 / / / / / 1 xo / ; / / / / / 16 10 10 19 40 10 10 19 40 16 16 28 40 2 40 17 10 17 10 17 10 17 ID 17 10 17 lO 27 10 17 10 26 40 27 20 26 20 27 20 26 10 26 10 26 ID 27 40 26 10 26 10 26 10 26 40 26 10 26 40 26 40 10 9 30 10 s 40 6 20 S 20 17 SO 22 40 3 10 4 4 40 16 40 20 22 10 3 10 9 20 22 ID 3 10 IS 22 10 3 10 22 10 3 10 4 24 40 22 ID 3 10 20 3 10 20 9 20 3 9 30 17 28 so 13 29 30 19 SO 20 so 26 so 26 26 20 20 20 40 20 40 13 20 26 16 16 10 26 20 13 20 18 10 20 so 26 20 20 so 27 SO 44 40 2 10 29 30 9 30 22 30 20 40 " SS 13 40 27 40 21 20 21 20 154 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1 594- 66 67 68 69 70 71 74 75 77 78 80 81 82 86 88 89 90 92 94 97 99 100 102 103 104 no 114 "S 116 117 120 121 122 126 129 130 131 133 134 13s 136 137 139 140 141 143 144 14s 146 ISO 151 / / / / / / / / / / / / / 10 20 10 20 10 20 10 20 12 20 10 20 13 40 10 20 13 40 10 20 ID 20 10 20 10 20 10 20 8 20 9 9 9 9 9 9 9 9 9 9 9 9 (7 401 I 7 20/ 9 16 20 16 20 9 40 9 40 9 40 9 20 9 40 9 20 9 40 9 40 9 40 9 40 9 40 9 40 9 40 27/=^°! ^"140/ 28 27 40 13 40 22 20 40 20 20 40 20 20 40 20 20 40 6 40 16 6 40 16 6 40 16 6 30 16 6 40 3 SO 6 40 6 40 6 40 16 6 20 40 16 16 16 16 16 16 16 16 23 20 23 23 23 23 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. iSS Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795. B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. 66 67 68 69 70 71 74 75 77 78 80 81 82 86 88 89 90 92 94 97 99 ICX3 102 103 104 no 114 116 117 120 121 122 126 129 130 131 133 134 136 137 139 140 141 143 144 146 ... / / / / 20 / / / 9 30 8 30 / 9 30 8 30 / / r 1 / II 10 20 13 40 9 S 20 10 20 S 20 10 20 10 20 3 20 16 10 S 12 20 2 20 9 16 10 S 9 9 5 7 30 S 7 30 5 6 20 5 S 5 16 20 16 20 II 2 30 18 40 2 9 I 10 9 40 9 40 S 20 12 40 5 20 12 40 9 40 9 40 S 9 7 30 8 30 8 30 f 6 401 I 5 40/ 8 35 8 30 8 30 8 30 8 30 7 20 7 20 6 9 5 s 40 26 18 40 26 13 40 18 40 10 20 16 10 21 10 2 40 30 40 4 40 20 20 20 40 6 40 5 30 3 SO 16 20 40 6 40 'i6"o' 6 50 16 6 50 16 3 50 3 50 16 2 50 3 SO 16 16 4 40 10 9 16 20 5 22 5 SO 20 10 16 30 25 10 25 10 19 40 40 19 50 50 16 15 20 13 20 16 16 15 20 13 20 16 13 20 13 20 13 20 13 20 15 20 13 20 23 23 IS6 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes— corsxinntd. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303. Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. IS94- 152 156 157 158 160 163 164 167 169 172 173 175 176 177 179 1 80 182 183 185 186 187 189 190 191 193 194 206 207 211 212 213 214 218 219 221 226 228 229 230 231 233 234 238 239 243 244 245 246 / / / / / / / / / 1 22 40 / / / 24 24 20 30 21 21 21 21 21 21 56 30 21 21 21 19 40 19 40 19 40 20 40 17 20 II 30 19 40 19 40 19 40 19 40 10 10 ;i3 40\ II3 20/ 17 so 16 50 10 20 10 20 10 20 10 20 10 20 10 20 10 20 10 20 10 20 10 20 3 40 3 40 3 40 3 40 10 20 10 20 10 20 10 20 10 20 16 40 8 20 8 40 15 IS IS IS IS 12 IS IS IS IS IS IS IS IS IS IS 3 30 21 19 20 25 20 23 26 40 24 SO 26 40 ;24 so\ 12I 50/ 21 50 21 50 21 50 21 50 21 50 ri8 20 I 8 20 8 20-1 18 20/ 18 20 18 20 18 20 18 18 20 10 20 18 20 18 20 18 20 18 20 21 30 26 40 ■26 401 I23 40/ 26 40 25 40 26 40 26 40 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. 157 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795- B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. 152 156 157 160 163 164 167 169 172 173 17s 176 177 179 180 182 183 185 186 187 189 190 191 193 194 204 206 207 211 212 213 214 218 219 221 226 228 229 230 231 233 234 238 239 243 244 24s 246 / / / 1 t / / 28 40 / 28 40 1 / 28 40 / 28 40 / / 21 20 21 20 21 21 20 24 20 21 21 10 24 10 21 21 19 40 16 20 16 20 12 40 16 40 16 16 4 SO 10 40 4 SO 6 50 II 30 11 30 I 30 2 10 13 40 13 40 13 30 13 40 13 30 20 20 20 20 13 40 13 40 10 20 20 20 10 20 10 20 13 5 20 20 f27 ol 126 0/ 13 S 20 20 10 20 20 20 10 20 10 20 10 20 26 17 40 14 40 4 20 14 40 16 40 2 30 2 30 _____ _ W 3 40 3 40 20 20 27 40 3 20 20 20 26 40 27 40 20 40 I 40 26 30 26 40 24 so 10 20 10 20 16 50 8 8 IS 15 1 T p T r '3 "^J 25 40 22 19 22 18 29 SO 25 40 25 50 27 30 40 30 40 21 50 18 20 24 50 21 50 14 20 18 20 14 20 14 47 18 20 8 20 6 20 18 20 4 20 4 20 4 20 26 40 23 40 26 40 23 40 23 20 23 40 23 20 23 20 158 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 3"- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1594- 247 248 249 251 253 256 257 260 261 263 264 265 268 270 273 27s 276 277 278 279 281 282 28S 288 289 290 291 292 294 29s 296 298 299 300 304 30s 307 308 309 310 3" 312 316 317 318 / / / / / / / / / 1 / / / f27 lo-l 126 10/ 27 30 12 40 40 40 ; 3 401 1 3 20/ 3 20 /31 4o\ l2I 40/ 21 20 f23 lo- 126 10. 31 40 21 20 21 20 24 20 21 20 31 40 21 20 31 40 21 20 21 20 21 20 21 20 21 20 f23 lo-i 126 10/ 24 30 21 20 21 20 21 20 27 30 8 20 flO lOl 1 16 0/ 16 16 16 16 16 10 10 S SO 8 45 (?) 8 30 8 30 26 8 30 26 8 30 26 8 20 26 27 26 8 30 26 8 30 23 26 26 17 40 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — ^continued. 159 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795- B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. iS6. Vienna Trap. 24. 247 248 249 251 253 256 257 260 261 263 264 265 268 270 273 27s 276 277 278 279 281 282 28s 288 289 290 291 292 294 29s 296 298 299 300 304 30s 307 308 309 310 3" 312 316 317 318 / / / / / 1 / / / / ^ 28 26 30 25 50 26 10 II 20 / / 24 30 24 30 26 10 26 10 II 20 II 20 '::\::iv.v.'.'.::'.v.v.i'.:v.:'. 3 20 3 20 20 3 20 20 3 20 20 3 20 20 3 20 20 3 20 20 i -J let 3 20 17 50 31 40 21 20 21 20 31 40 21 20 31 40 21 20 21 20 21 20 21 20 28 10 21 20 21 20 28 10 28 10 28 40 28 40 28 40 28 40 28 40 28 40 26 26 50 1 27 30 3 20 27 30 20 so 16 16 16 16 3 40 4 20 t 7 40 2 10 i ID 5 29 40 29 20 26 ID 29 20 8 40 8 40 2 40 SO so? 3 50 28 30 29 21 28 30 f27 I01 I28 10/ 21 40 8 30 8 20 26 /18 301 I18 40/ 8 30 26 26 23 30 17 30 17 30 26 26 23 30 23 30 23 30 23 30 23 30 28 30 23 30 17 30 17 30 fi9 CI I18 0/ 17 30 17 40 17 30 59 17 40 17 40 23 20 29 as 20 50 s»I2 10 Hi 10 26 20 26 so 26 20 26 50 20 40 12 50 32 10 17 30 22 10 2 10 26 20 i6o Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303. Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1594- 323 324 32s 328 329 330 332 333 334 336 337 338 339 340 341 349 3 SO 3SI 3S6 360 364 369 371 374 375 376 378 379 382 383 384 38s 386 387 388 389 390 391 392 394 395 396 397 398 399 400 401 402 404 406 / / / / / / 1 ) / / / / t 29 30 9 10 9 10 9 10 9 10 9 10 3 12 40 31 20 PS 4°" I19 40. IS 40 s 40 5 40 15 40 IS 40 20 50 17 30 5 10 IS 40 15 40 IS 40 IS 40 16 16 20 16 20 13 20? 13 40 21 20 /24 401 I21 40/ 24 40 24 40 24 20 24 40 /24 401 I21 40/ 24 40 /24 401 I21 40/ 24 40 f24 40 I21 40 21 401 24 40; 24 20 21 20 24 20 21 20 24 20 21 20 21 20 25 40 24 40 25 20 6 40 6 20 24 20 24 20 21 20 24 20 24 20 21 20 21 20 21 20 21 20 21 20 2 20 13 20 13 13 /12 501 In 50/ 12 50 12 50 17 30 12 50 12 so 17 10 II SO 12 50 12 50 12 so 23 20 15 20 12 20 IS 20 14 40 9 Ptolemy's Catalogue of Stars. Collations oj Manuscripts — Longitudes— cowtvawtdi. i6i Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795- B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. 323 324 325 328 329 330 332 333 334 336 337 338 339 340 341 349 350 351 354 356 360 364 369 371 374 375 376 378 379 382 383 384 385 386 387 388 389 390 391 392 394 395 396 397 398 399 400 401 402 404 406 / / 26 20 / / / / / / / / / / / 26 18 30 18 30 9 10 9 20 9 10 5 15 9 20 9 10 23 20 17 20 23 20 17 20 28 40 16 40 26 20 22 40 28 20 24 20 24 20 25 40 25 40 IS 40 12 50 IS 40 5 40 19 40 5 40 17 12 16 10 18 11 10 12 12 12 12 16 10 16 30 10 6 16 20 12 16 20 16 20 22 50 23 SO 28 so 26 17 27 17 19 II 40 24 40 21 20 24 40 21 20 24 40 24 40 59 40 19 10 19 6 21 20 21 40 f24 20- 124 40/ 21 20 21 40 24 40 24 40 26 40 24 40 21 20 10 40 6 20 6 20 4 12 18 8 2 10 10 20 18 9 40 12 40 12 50 23 II 50 17 10 12 30 17 30 II 50 17 20 II 50 17 10 23 II so 17 10 II 50 17 10 28 17 30 23 20 27 40 26 40 6 8 so 8 50 l62 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. B ally's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394. Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. Laur. I. Laur. 47- Vat. 1594- 408 409 410 411 412 413 415 416 419 422 423 424 426 429 432 433 434 435 436 438 439 442 444 445 446 448 449 450 452 454 455 457 458 459 460 462 463 464 465 466 467 468 472 473 474 / / / t / / / / II 20 / / / / / f 2 20" I 2 30. 2 20 2 20 / 2 301 I 2 20/ / 2 30-1 I 2 20/ 2 20 2 20 f2I 0" 1 24 0. 21 21 24 24 24 21 21 21 .'21 01 .24 oJ 18 IS 21 40 21 40 18 15 18 15 18 IS 18 IS 21 40 21 40 8 30 16 8 30 16 21 40 21 40 21 40 21 40 21 40 21 40 8 30 16 21 40 8 30 16 21 40 16 16 16 16 16 16 16 fi5 lo-i II5 30J I15 30/ /IS lol lis 30-' 15 10 IS 30 40 40 40 f 40' I 20. 40 40 40 13 40 40 40 40 40 13 13 13 13 13 13 13 13 8 40 fi9 101 1I9 40J 19 10 19 10 fi9 lo- I19 0/ fi9 I01 L19 40/ 19 10 ri3 o-i 1 14 oJ 21 30 24 10 24 20 21 10 10 40 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. 163 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- / Laur. 6. Laur. 45- B. M. S. 2795- B. M. Reg. 16. B. M. 7475- Bod. 369. Laur. 156. Vienna Trap. 24. 408 409 410 411 412 413 41 S 416 419 422 423 424 42,1; 426 429 432 433 434 435 436 438 439 442 444 445 446 448 449 450 452 454 455 457 458 459 460 462 463 464 :^i 467 468 472 473 474 / / / t / / 1 / / / / / 7 10 2 20 2 30 2 10 2 20 3 30 2 30 2 30 8 40 2 40 2 40 25 20 21 26 24 21 f2I Ol l2S 0/ 25 24 24 24 26 2 20 28 20 26 10 26 10 27 40 26 40 23 10 23 10 33 23 10 23 10 18 15 21 40 8 30 16 4 18 IS 21 20 21 40 18 IS 21 40 21 40 18 IS 8 10 21 40 18 IS 21 40 21 40 18 IS 21 40 8 30 21 40 16 21 40 8 30 16 21 20 8 10 28 15 8 10 16 16 15 30 IS 30 IS 20 IS 10 IS 10 21 20 40 26 40 3 40 26 40 3 5 40 40 40 40 40 40 13 2 40 13 13 13 13 13 13 fi6 30-1 I26 30/ 5 20 .... 7 30 15 10 21 40 19 40 21 40 14 5 7 30 IS 10 21 40 19 10 19 40 21 30 19 10 fi9 401 L29 40/ 21 40 19 40 21 40 19 10 21 40 21 30 18 21 40 21 20 18 21 40 21 20 24 10 2 40 2 10 40 2 10 24 30 24 30 f24 lo-l I29 loJ 24 20 26 20 26 20 164 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I . Laur. 47- Vat. 1594- 478 479 481 484 48s 486 487 488 489 491 492 493 494 495 497 498 499 500 SOI S03 504 505 506 508 S" 516 Si8 520 S22 523 524 ^^1 526 527 528 529 531 532 533 534 535 539 540 541 542 543 544 545 546 / / / / / / 13 / / 13 / / / / / 12 10 12 10 II 10 12 10 f24 40 I21 40 23 24 40 21 40-1 24 40] 23 13 f2I 401 I 24 40/ f24 401 124 30/ 21 20 21 20 21 40 21 40 (21 301 I24 30J /17 30]. I 8 30/ 17 30 8 30 24 10 25 20 27 25 20 27 26 20 25 20 27 25 20 27 24 16 16 16 16 16 24 30 16 16 24 10 27 30 I 20 6 40 16 16 16 16 16 27 15 27 15 27 IS 27 15 27 15 5 5 22 IS 17 40 17 40 20 15 17 40 20 IS 20 15 20 IS 20 15 20 IS I 20 4 10 4 10 20 20 4 10 2 2 2 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. 165 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 279S- B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Viennx Trap. 24. 478 479 481 484 48s 486 487 488 489 491 492 493 494 69s 497 498 499 500 SOI 503 504 SOS 506 508 S" SI3 516 SI8 520 522 S23 524 S2S 526 S27 S28 S29 S3^ 532 S33 S34 S3S S39 540 541 542 543 544 545 546 / 12 10 / 13 12 30 14 30 1 12 10 / 13 12 30 14 30 / / / 13 / 14 12 20 / / 13 10 12 20 / / 1 12 10 21 20 21 40 21 40 21 40 20 30 21 40 20 30 21 40 26 30 10 10 8 30 18 17 10 8 30 18 17 10 16 30 6 30 14 30 24 30 28 50 21 20 25 20 27 24 30 26 20 f27 o-i 126 0/ 24 30 26 20 25 20 27 26 20 3 30 26 20 27 3 30 26 20 26 20 26 20 26 26 20 27 19 8 10 17 30 17 30 2420 16 27 IS 16 27 IS 12 10 24 40 27 12 10 24 40 16 16 16 16 16 27 27 27 26 6 40 8 6 40 6 40 6 40 6 40 6 40 6 40 IS 27 30 28 30 5 IS 12 22 IS 27 30 28 30 28 S S S S 20 15 21 10 17 40 21 17 40 27 40 27 40 17 40 27 40 16 40 20 15 21 24 20 26 50 27 30 27 30 27 30 I 20 I 20 2 30 2 30 2 30 40 40 28 28 2 2 2 2 2 10 2 S 20 i66 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. Baily's No. 547 549 550 551 560 561 562 ^P 565 569 570 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 601 602 603 604 605 606 608 611 612 613 614 61S 616 617 618 619 620 621 622 623 Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1594- / / > / ; / / / / / / / ; 26 26 26 25 30 9 30 9 30 25 30 9 30 25 30 9 30 25 30 9 30 25 30 9 30 9 30 9 30 9 30 9 30 5 30 9 30 21 20 25 20 f2S 20-1 125 40/ 25 20 25 20 22 40 22 40 22 40 24 30 20 40 16 40 17 40 16 40 23 SO 27 20 23 50 27 20 23 50 27 20 23 50 23 50 27 20 23 5° 27 20 22 50 23 50 27 20 23 SO 27 20 10 50 27 20 23 50 27 20 23 50 27 20 23 SO 27 20 7 40 9 9 9 9 9 5 9 9 9 9 6 10 n 40 10 50 II 40 10 50 II 40 10 50 II 40 10 50 II 40 10 50 II 40 10 50 16 40 26 II 20 26 26 26 26 23 26 26 23 26 26 23 26 23 20 26 26 23 26 123 30" I23 20/ 23 50 20 50 20 50 23 50 23 50 22 20 23 50 23 50 23 50 23 SO f2I SOj I24 50J 21 50 21 50 21 50 21 50 21 50 21 50 25 30 21 50 21 so 21 50 21 50 21 so Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. 167 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795- B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. 547 549 550 551 560 562 563 569 570 582 583 584 58s 586 587 588 589 590 591 592 593 594 596 597 598 599 601 602 603 604 605 606 608 611 612 613 614 615 616 617 618 619 620 621 622 623 / / / / / / / r / / 6 40 4 / r / 7 20 7 20 7 20 10 50 26 26 28 10 28 10 20 10 30 26 30 25 30 9 30 25 30 9 30 25 30 29 30 29 30 29 30 9 30 9 30 22 40 25 40 22 7 25 40 22 40 22 6 25 40 22 40 22 7 22 7 25 40 19 30 25 20 25 40 29 40 25 20 29 40 26 40 22 40 21 40 24 20 22 40 22 40 24 20 22 20 22 20 22 20 17 20 16 40 17 20 17 45 16 40 26 20 26 so 26 40 23 so 27 20 28 50 27 40 23 50 27 20 28 50 26 50 28 so f28 40-1 127 40/ 28 30 26 SO 20 50 27 40 28 30 26 so 27 40 26 50 27 40 26 SO 28 30 4 20 4 40 9 7 40 5 5 9 9 40 8 10 50 11 40 16 40 26 20 20 18 40 16 40 21 23 50 7 40 5 8 8 5 9 5 5 II 40 10 50 6 40 IS 20 6 40 II 40 15 20 16 40 I 10 7 10 7 10 II 40 10 so 10 so 26 26 I 10 26 23 28 23 18 30 18 30 fi8 40-1 I19 40/ 20 20 so 20 20 40 23 so 23 50 28 20 26 20 26 26 so 21 so 21 so 21 50 21 so 21 SO 21 50 1 68 Ptolemy's Catalogue of Stars, Collations of Manuscripts — Longitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Van. 313- Laur. I. Laur. 47- Vat. 1 594- 624 62s 626 627 628 630 631 632 633 634 636 637 638 639 640 643 644 6^^ 648 649 650 651 652 654 6SS 6S7 658 659 660 661 662 663 667 668 669 670 672 G7S 676 678 679 680 682 683 684 685 686 687 688 / f / 1 / 1 / / / / / / / (28 40". I20 40/ 28 20 20 40 28 20 27 20 27 20 20 40 27 40 27 40 28 40 27 20 27 20 27 20 27 20 27 20 27 40 27 40 17 20 14 20 2 30 II 20 II 20 12 40 12 40 4 40 II 20 4 20 8 40 15 40 /I I SOI I21 40/ II 50 29 20 21 10 (■21 lOl 124 10/ 21 10 21 10 21 10 21 10 21 10 21 10 21 10 21 10 20 20 10 20 20 20 20 10 20 10 26 20 10 23 22 30 23 20 20 10 '22 301 .22 20/ ;23 o-i I23 20/ 22 30 23 20 22 30 23 20 22 50 17 40 22 40 (22 301 I22 20/ 23 20 23 20 22 30 23 20 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. 169 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795- B. M. Reg. 16. / B. M. 747S- Bod. 369- Laur. 156. Vienna Trap. 24. 624 62s 626 627 628 630 631 632 634 636 637 638 639 640 643 644 64s 646 648 649 650 651 652 654 657 658 S^ 660 661 662 663 667 668 669 670 672 67s 676 678 679 680 682 683 684 685 686 687 688 / / / / / / / / / / 1 / 20 40 28 40 28 40 26 40 27 20 27 20 27 20 5 20 5 20 26 50 5 20 27 30 26 20 II 40 9 10 II 20 13 8 7 6 10 2 10 2 10 3 20 6 so 10 10 14 IS 10 30 20 20 19 30 20 ss 12 40 20 20 19 30 19 SS 12 40 20 20 19 30 21 40 22 40 22 40 22 40 26 10 22 40 22 40 23 IS 12 40 22 40 11 30 12 40 28 IS 23 IS II 30 II SS 11 SS 12 40 12 40 16 10 12 40 16 10 21 10 21 10 21 10 21 10 26 10 20 I 40 14 20 26 40 2 40 14 29 II 10 13 30 17 20 20 23 20 23 40 20 10 22 30 23 20 20 30 20 20 20 20 20 10 20 30 20 30 20 30 28 22 20 28 20 30 22 30 23 20 22 20 22 20 22 20 22 20 23 22 20 23 lyo Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1594- 689 690 691 693 69s 696 699 700 701 702 703 704 70s 706 708 709 710 711 714 715 716 717 718 719 720 721 722 723 724 728 730 732 733 734 736 738 739 741 743 745 746 / / / / / / 1 / / / 22 30 / / / (•28 201 I28 40/ 28 20 28 20 20 28 20 20 28 20 40 40 40 10 25 26 20 . ; 2 301 1 2 10/ 2 40 2 40 f 2 lo- I 2 30/ 2 40 f 2 lOl I 2 30/ 2 40 29 30 f I 20-I I I loJ f I lo-i 1 I 20/ 20 rio io\ I16 0/ 16 20 16 16 16 16 16 20 16 16 20 16 20 16 20 16 20 f 7 20- 1 7 40; 7 40 7 20 7 20 / 7 40\ I 7 20/ 7 40 / 7 40 l 7 20 7 401 7 20/ ; 3 201 1 3 0/ 5 5 5 6 20 4 40 4 40 4 40 748 749 f2I ID"! I24 10/ 21 10 21 10 21 ID 21 ID 21 10 21 10 21 ID 21 10 21 10 750 75 1 752 754 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. 171 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795- B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. 689 690 691 693 69s 696 699 700 701 702 703 704 70s 706 708 709 710 711 714 71S 716 717 718 719 720 721 722 723 724 728 730 732 733 734 736 738 739 741 743 745 746 748 749 7SO 751 752 t / / / / / / / / / 26 40 28 30 26 30 5 30 S 20 5 30 1 / ) 28 20 28 40 28 40 28 40 28 40 40 20 40 20 20 20 26 40 26 26 20 26 20 26 20 26 20 26 40 2 10 f 2 IO| I 2 30J 2 40 2 ID 2 10 29 30 2 40 29 30 20 30 1 20 2 IS I 20 4 20 21 40 4 20 10 40 10 30 12 10 7 40 2 40 2 6 20 7 40 16 20 16 16 20 16 12 7 40 16 ID 10 10 10 ID 10 16 7 40 / 7 40-1 I 7 20/ 7 40 2 2 20 7 40 7 40 2 2 20 7 40 7 40 7 40 7 40 23 23 28 28 II 40 II 40 II 20 4 20 9 40 4 20 4 20 9 40 5 4 20 5 4 20 4 20 |27 o" 126 0. 20 20 32 20 20 26 20 20 20 20 4 4 40 4 20 27 30 24 24 20 20 10 19 30 18 50 IS 20 7 40 4 40 I 20 27 30 4 40 I 20 27 30 4 20 27 30 4 20 27 30 2 20 27 30 7 20 26 30 2 20 27 30 21 10 21 10 21 21 10 21 10 21 21 10 21 10 754 172 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — ^continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310 Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1594- 7SS 7S6 757 758 759 760 761 762 763 764 76s 766 767 768 770 772 773 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 791 792 793 796 797 798 800 802 803 804 805 806 807 809 810 811 812 813 / / / / / / / / / / / / / (■26 20' I26 40. 26 20 26 20 23 20 27 40 27 40 26 20 26 20 26 20 26 20 26 20 26 20 26 20 27 10 26 30 20 50 26 30 20 50 20 50 f20 50-1 I19 50/ 20 50 20 50 20 50 20 50 20 50 20 50 18 20 fll 40-1 I14 40/ II 40 II 40 14 40 II 40 II 40 II 40 II 40 II 40 II 40 10 10 16 16 10 10 16 16 16 16 16 16 16 5 30 5 30 5 30 21 10 21 10 II 50 II 20 II 50 II 50 II 50 II 50 II 50 II 50 3 30 21 40 21 20 ; 7 3°\ \ 10/ 19 40 /ii 50-1 I14 50/ 19 40 14 50 14 50 7 30 19 60 40 7 30 19 40 19 20 19 40 24 20 20 20 29 20 21 40 29 20 29 20 29 20 29 20 25 20 25 20 25 20 25 20 Ptolemy's Catalogue of Stars. Collations oj Manuscripts — Longitudes — ^continued. 173 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795- B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. 755 756 757 758 759 760 762 763 764 76s 766 767 768 770 772 773 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 791 792 793 796 797 798 800 802 803 804 805 806 807 809 810 811 812 813 / 1 / / / / / / 14 30 / / 14 20 14 20 15 10 16 so 25 50 27 40 28 23 40 27 10 26 so / / / 24 20 26 20 28 so 26 50 26 20 26 50 26 50 26 so 26 20 26 20 26 26 40 26 10 26 30 20 50 26 10 26 30 20 50 26 10 26 10 26 10 27 10 20 so 12 50 20 50 28 20 II 40 18 18 30 II 40 18 18 20 II 40 II 40 II 40 13 40 10 10 16 16 4 20 5 30 16 16 4 20 10 10 10 10 10 10 10 10 5 30 5 30 2 I 5 30 5 30 2 30 5 30 26 24 40 21 40 21 20 21 40 21 20 24 40 24 40 24 40 24 40 24 40 22 10 22 10 12 10 II 50 II 30 II 50 II 30 IS 10 10 30 5 30 3 50 13 30 17 50 22 10 20 10 12 10 24 20 21 40 21 40 24 20 24 20 28 20 10 20 11 45 II 45 41 50 7 10 19 40 7 10 7 30 19 40 19 40 19 40 39 5° 29 20 29 20 29 20 29 10 26 10 25 20 21 50 25 20 25 30 25 30 24 20 25 30 24 5° 21 50 24 20 24 20 174 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394' Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1594- 814 816 817 822 824 826 827 829 832 833 840 842 844 848 849 850 851 852 856 860 861 864 86s 867 868 869 870 871 873 874 877 878 879 886 889 890 891 892 893 894 89s 896 898 899 900 901 902 903 904 906 907 909 / / / f 4 / / {; 0} f / / / / / t 25 20 25 20 25 20 25 20 25 20 25 20 25 20 25 20 25 20 2S 20 25 20 25 20 25 20 23 40 21 40 21 40 20 20 20 20 20 29 30 20 29 30 29 30 13 22 10 13 12 20 10 20 II 20 II 20 50 8 20 flO lO" II6 0/ 16 10 16 10 16 10 (■23 lO" 123 0. 23 24 10 23 10 23 10 23 24 10 23 24 10 23 24 10 24 10 9 40 29 . 14 10 14 10 14 10 21 30 8 40 I 26 26 26 10 26 10 26 10 26 10 26 10 23 17 30 23 20 17 30 23 20 17 30 23 20 17 30 23 20 17 30 23 20 17 30 23 20 23 23 23 23 23 9 40 22 10 6 40 8 20 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. 175 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- V- B.M. ^- Reg. 16. 2795. s B.M. 747S- Bod. 369- Laur. iS6. Vienna Trap. 24. 814 816 817 822 824 826 827 829 832 833 840 842 844 848 849 850 8S1 852 856 860 861 864 865 867 868 869 870 871 873 874 877 878 879 886 889 890 891 892 893 894 89s 896 898 899 9CX) 901 902 903 904 907 909 / / 4 / / 4 1 / 1 / / / I 10 S / / / II 40 25 20 25 20 25 20 25 20 25 20 25 20 25 20 17 10 12 19 40 25 20 25 20 25 20 25 20 25 20 14 20 21 40 23 20 14 20 21 40 21 40 28 40 14 6 20 29 30 29 10 13 20 29 30 29 10 13 29 10 29 10 13 13 13 18 so S 20 4 10 16 IS 30 16 10 16 40 21 24 10 4 10 16 16 4 10 4 10 16 4 10 16 16 16 16 21 20 23 5 20 21 20 21 23 23 23 20 23 28 24 10 5 10 23 22 14 10 15 10 21 25 14 10 14 10 14 10 21 25 2 2 2 4 10 26 10 26 10 22 14 20 15 20 IS 30 17 30 15 20 IS 30 17 30 17 30 23 20 17 30 23 23 28 30 9 40 17 30 23 30 17 30 23 23 28 30 9 40 16 3S 23 23 28 20 23 SO 8 3 40 17 176 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. 1 Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1594- 910 911 912 913 914 915 919 921 922 924 926 927 928 929 931 932 933 934 936 939 941 942 943 944 946 947 951 954 955 956 959 960 962 963 964 966 967 969 970 971 972 973 974 975 976 978 979 980 982 983 984 985 / f / / / / / / / / / / / f 4 20-1 I I 30/ 2 20 4 20 4 20 4 20 4 20 II 30 II 30 II 30 II 30 II 30 II 30 2 10 7 40 f I IQ-l I I 20/ I 40 r I loi I I 20/ 13 10 I 40 I 40 I 40 I 40 I 40 21 6 22 40 13 40 2 2 2 20 8 20 8 20 8 20 8 20 /2S 301 I25 10/ 2S 20 3 10 40 3 10 3 40 40 40 40 40 40 40 40 21 50 21 50 24 so 21 50 21 50 21 SO 21 so 21 so 21 so 21 50 20 8 30 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. 177 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795- B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. 910 911 912 913 914 915 919 921 922 924 926 927 928 929 931 932 933 934 936 939 941 942 943 944 946 947 951 954 955 956 959 960 961 963 964 966 967 969 970 971 972 973 974 975 976 978 979 980 982 983 984 985 / 1 1 / / / / 1 / / / 28 / / 26 4 20 4 30 4 20 4 30 I 50 22 ID II 30 II 30 II 30 II 30 14 50 12 20 26 10 30 9 20 I 40 15 30 30 50 40 I 30 I 40 I 30 I 40 I 40 I 40 II 20 II 20 17 20 18 30 17 40 18 30 17 40 17 45 20 ID 18 50 7 ID 19 ID 8 10 22 20 13 13 17 30 17 30 26 30 16 30 16 30 16 30 16 10 6 40 8 30 8 30 8 30 ■'■'**' 17 16 40 5 20 16 20 8 20 21 10 28 20 25 30 8 20 8 20 21 10 II 40 8 20 21 10 II 40 8 20 24 20 14 10 18 29 so 25 30 25 30 50 4 3 10 3 10 40 30 1 40 10 40 40 4 30 40 30 3 40 5 30 3 40 30 I 40 30 40 20 21 50 21 so 28 20 21 so 28 20 21 so 22 50 21 50 21 7 21 7 23 8 50 178 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 3"- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. IS94- 986 989 990 992 993 994 995 997 998 999 1000 1002 1004 1005 1007 1008 1009 lOIO lOII I0I2 IOI3 IOI4 IOI5 IOI9 1020 1022 1025 1026 1028 / / 10 20 t / / f / / / / / / / 27 10 27 10 27 20 27 10 27 10 27 10 3 f26 lOl I26 20/ 3 10 26 20 3 10 26 20 26 20 2S 40 f 10" I 9 10. 14 40 40 16 50 16 20 16 20 16 so 16 so 14 SO 14 so 14 SO 14 so 14 SO 14 SO S 40 21 50 24 so 24 so 26 26 20 10 26 4 fi4 ol In oJ 4 4 4 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Longitudes — continued. 179 Baily's No. Laur. 48. Vienna 14. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 279s • B. M. Reg. 16 B. M. 747S- Bod. 369- Laur. 156. Vienna Trap. 24. 986 989 990 992 993 994 99S 997 998 999 1000 1002 1004 1005 1007 1008 1009 lOIO lOII IOI2 IOI3 IOI4 lois IOI9 1020 1022 1025 1026 1028 / 27 ID / 20 20 / 27 10 r 20 20 27 TO / / / / 8 so 27 20 / / 1 / / 27 20 27 30 20 26 10 27 40 2S 45 26 10 27 10 3 10 26 20 ' 3 20 30 3 10 26 20 26 20 20 30 3 26 10 20 20 20 26 10 20 26 10 20 20 30 25 SO 10 25 SO 10 'i3"6' 9 40 17 10 15 10 16 50 IS 30 II 40 9 SO 16 so 16 so 17 SO 16 50 14 so 40 40 10 14 so 40 10 16 10 2 40 2 40 30 10 5 40 30 20 29 10 10 s 40 5 40 S 40 S 40 s 40 5 40 5 40 29 10 4 26 II II 13 30 26 II 26 26 26 27 26 16 26 26 i8o Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1594- I 2 3 4 5 6 7 8 9 12 14 IS 16 18 19 20 21 22 23 2S 26 27 28 30 32 33 34 35 36 37 38 40 41 42 43 44 46 47 48 49 SI 52 S3 SS 56 58 60 61 62 ^^ 65 / / 60 10 / / / / / 60 10 70 IS 70 20 / 60 10 / 1 60 10 / 60 10 / / 60 10 ;74 201 170 20/ 70 20 75 20 77 20 75 20 77 20 72 10 74 12 72 10 43 30 44 44 44 44 44 44 44 44 44 39 44 44 29 30 10 30 20 30 20 30 10 30 20 30 10 30 20 44 10 30 ro 30 20 30 10 30 20 30 10 30 20 30 10 30 20 44 10 56 30 57 30 23 30 S3 10 23 30 23 22 30 22 22 30 22 22 30 20 20 22 30 22 30 22 30 20 20 23 22 I 83 '8s'3o' 83 85 30 83 83 15 84 10 83 84 10 81 10 77 SO 78 50 81 20 81 20 81 20 84 80 30 84 30 84 30 87 30 87 30 87 30 86 20 86 86 30 '8415' 80 20 80 20 66 80 20 80 20 80 20 80 20 80 20 80 20 80 20 80 20 80 20 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. i8i Baily's No. Laur. 48. Vat. 1038. Vat. Reg. 90, Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795. B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. I 2 3 4 1 7 8 9 12 H IS i6 i8 19 20 21 22 23 25 26 27 28 30 32 33 34 35 36 37 38 40 41 42 43 44 45 46 47 48 49 51 52 53 P 58 60 61 62 65 66 / 60 10 70 IS 70 20 / 60 10 / / / / ; 300 / / f / / 60 10 IS 20 74 40 70 20 74 74 74 74 74 72 30 74 30 39 20 39 30 47 6 30 10 30 20 44 24 44 34 29 6 44 44 44 44 44 45 45 44 56 20 28 30 30 10 30 20 30 10 30 20 30 10 30 20 36 20 30 20 30 10 30 20 33 30 30 20 30 II 56 30 47 30 29 30 29 30 39 15 35 30 IS 23 30 13 30 15 40 14 13 30 IS 40 14 39 35 41 22 39 44 17 35 17 35 22 22 45 20 20 22 30 22 30 ^5{p 22 40 22 45 22 45 20 20 23 15 22 45 22 45 23 22 30 20 20 78 50 75 20 75 20 85 30 82 30 83 81 20 81 20 81 15 81 40 81 40 82 15 83 30 81 40 83 30 83 30 84 30 87 50 87 SO ■■8i'ss' 81 55 80 20 80 20 80 20 80 20 53 80 20 l82 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 3"- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1 594- 67 68 69 71 73 74 76 80 81 82 83 84 8S 86 87 88 89 90 91 92 93 94 95 96 97 98 99 lOI 102 103 104 106 109 no III 112 114 u6 117 118 119 121 122 124 I2S 126 127 128 129 130 131 132 / / / / 81 so / / 81 so 78 20 / / 81 50 / / / / / 61 40 61 40 61 30 61 IS 61 6s 30 64 64 64 58 20 66 44 40 49 43 SO S3 5° 54 15 46 30 46 30 46 30 46 30 46 30 57 30 46 30 46 30 41 20 43 44 44 43 44 43 44 43 44 43 44 43 44 43 44 43 44 43 44 43 44 43 44 43 44 43 44 30 (■21 30-1 I31 30/ 41 30 46 30 46 30 45 44 30 44 30 46 so 49 40 46 46 46 42 30 SO 40 SO 40 SO 40 SO 40 SO 40 50 40 S6 10 SO 40 50 40 SO 40 SO 40 SO 40 56 30 56 30 56 30 56 30 S6 30 56 30 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. 183 Baily's No. Laur. 48. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795. B. M. Reg. 16. B.M. 747S- Bod. 369- Laur. 156. Vienna Trap. 24. 67 68 69 71 73 74 76 80 81 82 83 84 8S 86 87 88 89 90 91 92 93 94 95 96 97 98 99 lOI 102 103 104 106 109 no III 112 114 "S 116 117 118 119 121 122 124 125 126 127 128 129 130 131 132 / / / / / / / 1 / 54 SO / / / / 74 401 I 79 40/ ; 64 40-1 I 69 40/ 61 35 865s 70 40 305 40 301 35 306 55 304 15 79 305 30 302 30 300 55 301 55 301 30 304 64 15 72 64 60 55 61 55 61 30 65 64 60 15 59 SO 58 10 60 40 47 10 47 10 51 40 51 40 49 31 13 SO 18 40 13 35 17 30 13 50 S3 30 S3 SO 47 30 S3 45 S3 45 46 30 46 30 46 30 56 30 48 30 41 20 41 20 41 20 41 20 42 50 41 20 41 20 41 30 43 44 43 44 44 40 43 44 43 44 43 44 40 IS 25 IS 25 30 41 30 46 30 46 10 46 10 46 10 46 10 47 30 45 45 44 45 44 45 30 30 46 42 30 36 10 12 12 50 34 13 16 10 13 30 16 20 18 30 42 50 40 50 40 50 40 54 10 S3 10 56 10 58 30 59 14 60 30 S3 30 SO 40 16 10 18 30 56 10 56 10 1 84 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 3"- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1594- 133 134 136 138 139 140 141 142 14s 1 54 iSS 1S8 159 1 60 161 162 i6s 166 167 168 169 171 172 173 174 17s 177 178 180 183 184 18S 186 188 189 191 192 193 196 198 199 200 201 202 20s 206 208 209 211 212 213 / 63 / 59 20 63 / / / / / 59 20 63 / 59 30 63 / 63 1 59 20 63 / 63 / 59 20 63 / 59 20 63 63 63 63 63 70 IS 74 74 72 IS 64 64 72 15 64 72 IS 64 64 64 64 64 64 64 64 64 64 63 64 63 63 63 5°i3o/ 49 20 50 30 49 49 20 56 30 s°i3o; 56 30 56 30 74 30 71 30 64 30 63 45 56 63 45 49 40 63 45 56 63 45 49 40 63 45 59 40 63 45 63 30 63 45 63 45 63 45 42 20 46 so 47 30 41 20 40 30 37 30 51 10 40 10 47 30 37 45 27 30 27 I21 so/ 24 so 24 so 24 so 24 50 24 so 24 50 24 so f24 so-l I21 so/ 24 so 24 so Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes— cont'mned. i8s Baily's No. Laur. 48. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795- B.M. Reg. 16. B.M. 7475- Bod. 369- Laur. iS6. Vienna Trap. 24. 133 134 136 138 139 140 141 142 14s 154 iSS 158 IS9 160 161 162 i6s 166 167 168 169 171 172 173 174 17s 177 178 180 183 184 18s 186 188 189 191 192 193 196 198 199 200 201 202 20s 206 208 209 211 212 213 / 59 20 63 / 59 20 63 / 1 / / 19 50 / / 1 / / / 63 300 20 301 IS 301 63 60 74 75 70 IS 72 300 IS 72 72 60 3S 72 64 64 64 64 64 S3 304 15 300 20 16 10 64 19 55 10 54 50 16 13 54 20 49 20 57 10 57 10 49 20 7 30 55 10 54 44 49 20 49 20 49 20 56 30 56 30 14 30 56 20 56 20 309 40 69 20 59 30 15 10 17 IS 10 17 304 304 30 303 45 37 63 45 63 45 63 45 9 40 63 45 41 40 17 so 46 so 47 15 45 20 50 20 40 50 40 51 10 52 40 40 35 40 35 31 30 31 30 37 30 37 30 31 30 27 30 24 27 27 30 26 so 26 40 26 20 26 / 23 45] I 28 4si 28 IS 25 10 26 3S 28 4S 20 IS 28 15 28 40 24 50 24 so 24 so • 24 so • 19 4 19 55 1 1 1 86 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. Baily'si Par. No. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1594- 215 217 218 221 223 224 225 226 229 230 231 232 233 234 235 236 239 240 241 243 244 245 246 247 248 249{ 250 251 252 254 255 258 259 260 261 262 265 266 267 268 269 270 271 272 277 279 280 281 283 284 / / / t / / / / / / / / / 31 so? 31 50? 31 SO? 31 20 31 SO? 20 40 16 8 30 12 10 SO 30 50 30 SO 30 ri6 2o- 1 10 20. 36 36 30 10 10 10 10 16 16 13 16 16 7 15 36 10 16 16 33 50 33 50 33 50 33 50 33 50 23 45 33 50 33 50 12 30 14 7 so ±2 IS ±1 30 ^3 40\ ±0 20/ ±0 15 +2 15 -2 IS -4 30 — 3 20 -0 IS +1 3 40 + + + +0 IS -3 40 -0 IS + ± =^3 40 +0 IS -3 20 -0 IS + + -|-o 20 +0 IS -2 15 -I 30 — 3 20 -0 IS + 1 -4 30 3 20 3 20 — 20 -0 IS — 3 20 -0 IS iP°l ^40/ I 20 I 20 I 20 I 20 f20-l I40J I 20 I 20 I 20 * /31 iS\ ^34 iSJ 31 15 31 15 31 15 131 151 ^34 15J 31 15 ;3i 151 '•34 15^ 31 IS 31 15 31 IS 31 IS 23 21 20 135 401 I39 20/ 35 40 35 40 35 40 /39 201 ^35 40J 35 40 (35 40-1 I39 20/ 35 40 35 40 35 40 35 40 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. 187 Baily's No. Laur. 48. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. / Laur. 45- B. M. S. 2795. 1 B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. Vienna 156. Trap. 24. 21S 217 218 221 223 224 22s 226 229 230 231 232 233 234 23 s 236 239 240 241 243 244 24s 246 247 248 249 250 251 252 254 2SS 258 259 260 261 262 26s 266 267 268 269 270 271 272 277 279 280 281 283 284 / ; / 12 20 / / / / / / 22 / 47 31 20 34 31 SO 30 50 30 30 22 40 IS 13 50 9 40 45 IS 13 30 16 16 16 50 30 5 30 12 20 13 12 20 10 20 16 32 15 26 45 34 30 13 12 20 10 20 16 16 10 10 10 20 13 13 10 10 26 IS 28 45 17 20 27 45 24 30 13 20 26 45 23 45 17 20 26 45 24 50 26 45 23 45 17 20 12 30 12 30 18 40 14 40 34 20 4 30 2 20 4 30 + + + 20 + 15 + + - 2 15 — I 30 — 20 - 45 + -3 40 -0 15 + 15 IS + 2 IS + I 30 + 20 + 15 + + + 3 40 + 3 20 15 3 20 + 20 30 II 20 II I 2 10 I 40 28 12 I 20 I 20 28 12 26 I 20 I 40 I 40 20 12 I 40 I 40 I 20 25 S 20 26 30 30 10 26 31 IS 31 IS 31 IS 31 IS 37 15 31 4 32 15 32 30 29 20 26 25 15 24 30 10 30 22 30 26 10 30 10 30 21 20 21 20 26 35 20 35 40 3S 40 35 24 39 30 f 39 20' l. 35 40J 35 40 39 30 i88 Ptolemy's Catalogue of Stars. Collations of Manuscripts— Latitudes — •continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. 1594- 28s 287 288 290 291 292 293 294 29s 296 297 300 301 302 303 304 30s 306 308 309 313 31S 316 319 322 327 329 331 332 333 335 336 337 339 341 345 346 349 350 351 353 356 357 358 360 365 368 369 370 371 372 373 374 / / / / 1 / / / 38 20 / / / / 37 20 / ,a/20"I 26 40 19 20 19 20 29 10 27 30 33 20 34 34 34 34 34 26 30 19 30 / 2 30" I22 30, 2 30 2 30 2 30 2 30 2 30 2 30 2 30 2 30 44 15 44 15 44 IS 44 IS 21 50 33 f25 201 I26 20/ 26 20 26 20 26 20 f4i o-i I44 0/ 41 41 41 41 41 41 41 27 4 30 4 40 I 30 I so I 30 I 20 + 1 30 — I 30 I 30 I 30 I 30 I 30 i 1 Ptolemy's Catalogue or Stars. Collations of Manuscripts — Latitudes — continued. 189 Baily's No. Laur. 48. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795. B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. Vienna 156. Trap. 24. 28s 287 288 290 291 292 293 294 29s 296 297 300 301 302 303 304 30s 306 308 309 313 31S 316 319 322 327 329 331 332 333 33S 336 337 339 341 345 346 349 350 3SI 353 356 357 358 360 365 368 369 370 371 372 373 374 / / / / / / / 38 40 / 38 40 / 38 40 / 38 40 26 10 / / 26 10 39 10 31 10 31 10 38 40 29 40 26 40 36 40 26 40 26 20 26 40 26 40 26 40 24 40 30 10 24 38 10 29 27 IS 26 41 26 41 27 IS 26 15 12 12 36 34 4 36 50 33 34 31 31 34 IS 34 30 22 30 22 30 12 10 29 30 17 30 37 30 16 16 30 2 30 2 30 2 30 41 30 39 10 36 15 2 30 34 50 44 44 15 26 28 38 30 33 20 44 15 7 26 20 33 27 20 35 20 20 IS 30 26 20 26 20 26 20 16 20 35 20 35 20 35 20 39 20 35 20 30 30 41 41 41 6 40 19 30 19 17 4 30 4 40 I 10 2 39 I 10 4 IS I 10 igo Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. Rally's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Van. 313- Laur. I. Laur. 47- Vat. 1594- 375 376 377 378 379 381 382 384 386 387 389 390 391 392 394 395 396 398 399 400 401 402 403 404 405 406 407 408 410 411 412 413 415 416 417 418 419 420 424 426 427 429 430 431 432 433 434 435 436 438 440 / 16 fI2 401 III 10/ / / / / u 1 / 1 / / / / / 10 16 10 30 10 10 10 10 12 40 9 5° 12 20 14 20 19 40 IS 12 4 5 -4 -4 4 -4 -4 4 -4 5 20 5 30 4 -4 4 4 4 4 4 4 4 4 4 + 1 — I + 1 + 1 + 1 — I + 1 20 + 1 — I — I 7 lO 8 S 20 3 20 3 20 3 20 3 20 3 20 3 20 3 20 3 20 3 20 3 20 3 20 6 40 +0 40 +0 40 — 40 9 30 9 30 9 30 9 30 I 4 so/ I 50 I 5° I 50 I 5° I 4 coJ I 5° I SO I 50 I SO ■ 201 I 3 0/ 20 20 20 20 20 20 20 ; 301 I 6 0/ 40 »{;»} 6 10 40 r 301 L 40/ Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. 191 Baily's No. Laur. 48. Vat. 1038. Vat. Reg. 90 Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795. B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. 375 376 377 378 379 381 382 384 386 387 389 390 391 392 394 395 396 398 399 400 401 402 403 404 405 406 407 408 410 411 412 413 416 417 418 419 420 424 426 427 429 430 431 432 433 434 435 436 ' 438 440 / / / / 10 10 30 / / / 10 / 10 / 10 / 10 / / 10 10 16 10 30 2 40 14 10 10 40 13 40 7 4 7 30 13 20 10 20 10 10 20 5 IS 10 20 9 SO 5 15 4 35 50 6 30 4 4 4 4 5 20 4 4 4 30 4 1 40 - 4 30 + 40 4 4 7 IS 5 30 4 4 4 4 IS 4 I + 10 + I '6"o 7 10 + I 7 10 7 10 7 10 7 10 7 10 4 40 5 20 16 30 8 40 8 20 3 20 3 20 3 20 5 20 3 20 I I 7 20 2 40 + 40 2 40 40 9 40 9 40 9 40 9 40 II 4 20 50 20 17 20 I 50 I 50 3 40 6 40 3 40 3 3 3 - I 30 5 30 2 30 f 6 101 I 40/ 40 6 6 6 30 4 30 192 Ptolemy's Catalogue of Stars. Collations oj Manuscripts — Latitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. j 2394- Ven. 302. Ven. 303. Ven. 310. Ven. 311- Ven. 312. Van. 313- Laur. I. Laur. 47- Vat. 1 594- 441 443 446 447 448 449 4SO 4SI 4S2 4S3 / / / 1 / / 1 / / / / / / / -5 50 2 40 I 30 I 30 1 30 2 20 3 I 30 I 30 I 30 I 30 3 3 3 20 20 3 2 40 I f 2 401 1 I 0/ 3 3 — 2 40 — 10 -5 30 +11 50 + 1 14 5° 7 IS 2 20 454 ■ •• • 455 , • • • ■ 456 ' S 10 — I +7 30 457 460 461 466 467 468 469 470 471 474 476 477 478 479 480 481 482 485 486 487 489 491 495 496 497 498 501 502 503 504 506 507 508 S09 510 5" 512 S13 514 4 50 7 IS +7 30 4 SO 7 15 4 SO 7 15 4 SO 7 45 4 SO 7 15 4 SO 7 IS 14 45 4 4 4 4 4 4 4 4 4 4 4 6 15 6 6 6 6 6 6 6 6 6 12 10 3 12 3 12 3 12 3 12 3 12 3 12 3 12 3 12 3 12 3 12 3 12 3 12 3 12 25 30 I 15 6 6 6 6 6 20 f lo-i I 30/ 6 / 2 sol I I 40/ f 2 501 I 8 30/ f 2501 I I 40J f 2 SOT I 8 30/ 2 30 18 30 13 30 II 10 15 10 +2 40 8 20 13 6 4 10 1 20 10 20 10 ' 1 20 10 20 10 20 10 26 20 10 20 10 20 10 20 10 20 10 20 10 6 °! '6"o' "e'o "e'o 27 IS ; ! ' Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. 193 Baily's No. Laur. 48. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795. B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. 441 443 446 447 448 449 450 451 452 453 454 456 457 460 461 466 467 468 469 470 471 474 476 477 478 479 480 481 482 485 486 487 489 491 495 496 497 498 501 502 503 504 506 507 508 509 SIO 5" 512 513 514 1 / / / 20 / / / / / / 1 / / 5 7 I 30 3 I 50 I 30 4 20 40 3 3 40 40 40 40 3 1 30 2 20 I 30 2 2 4 30 4 7 4 5° 7 IS 3 30 I 30 4 10 50 1 30 I 10 4 4 30 6 4 4 4 6 6 6 5 IS 7 20 12 30 13 10 II 30 II 20 II 30 40 IS II 20 II 20 IS 13 50 3 12 3 12 3 10 3 12 3 20 3 33 20 20 20 I 40 35 3S 30 25 10 4 40 3 I 30 6 4 25 6 20 15 6 2 30 2 10 2 10 2 10 20 10 20 2 10 IS 10 20 10 13 5° 5 10 IS 10 IS 10 15 10 IS 10 20 10 + 20 8 17 2 20 20 30 "e"o 2 20 20 6 10 194 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. Baily's Par. '' Par. ! Par. Par. No. I 2389. 2390. , 2391. 2394. Ven. 302. Ven. Ven. 303- 310- Ven. 3"- Ven. 312. Ven. Laur. Laur. 313- I- 47- Vat. 1594- io/jo;io/:o/ / ; / 1 / / / / / / / 516 , 518 1 519 - 520 522 : 524 : 525 S26 1 10 7 10 2 20 ■ ■ ' ■ i ' • 1 t i ! 1 1 i ;■■ II 20 n cc\ n tr\ ' n Co n ca n en ' f^ co 50 1 j " ' ' ' : ' 527 528 530 531 533 534 535 536 537 538 540 541 544 545 546 549 551 552 553 555 556 557 558 559 564 569 570 571 i 1 ! 1 1 i ! 7 30 1 r 1 1 1 1 1 . ] ' 4 IS 14 45 14 45 9 40 6 20 3 3 3 40 — I 20 40 20? 40 40 9 40 3 45 4 12 8 40 14 20 19 18 20 . . 10 30 I 10 ! 1 .::::.'} ::::: .:.::'\ 572 573 /lo 501 120 20/ 20 20 20 20 M301 20 20 20 20 10 50 23 20 20 1 20 20 I 50 . . . 20 20 23 20 20 1.20 20/ 574 i 1 576 577 S82 S85 587 592 594 595 596 597 601 602 603 3 45 5 30 j ' 5 20 50 26 26 26 26 26 26 26 26 26 26 26 f20 20T 1 26 OJ 5 20 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — ^continued. 195 Bailv'y No. Laur. Vat. 48. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- / B. M. S. 2795. / 20 B. M. Reg. 16. / B. M. 7475- r 20 Bod. 369- Laur. 156. Vienna Trap. 24. 515 516 518 / / 1 20 / / / r / 7 10 519 520 522 524 526 527 528 530 531 533 534 535 536 537 538 540 541 544 545 546 549 551 552 553 556 557 558 559 564 569 570 571 572 573 574 576 577 582 585 587 592 594 595 596 597 601 602 603 2 30 \ 50 50 2 30 2 30 7 20 3 30 7 20 3 20 7 10 7 20 7 30 8 30 1 + I 40 3 45 4 30 3 IS 3 45 3 15 3 15 5 30 2 8 10 20 8 10 50 2 8 10 3 3 20 8 10 40 40 . . . ::::;■■ I 30 50 3 15 1 3 6 10 5 40 6 10 6 10 6 10 1 3 40 10 30 1 15 20 4 10 14 10 4 10 IS 20 15 20 1 i 4 10 6 30 5 30 4 10 1 i 20 20 20 20 I 10 20 20 I 50 10 10 20 20 2 7 2 50 5 45 3 45 3 50 25 3 45 40 3 30 i ....... 5 30 5 30 28 18 13 50 20 10 3 30 26 26 26 26 26 26 26 2 20 1 4 40 5 40 i 196 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. Baily's Par. No. 2389. Par. 2390. Par. Par. Ven. 2391. ; 2394. ] 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47. Vat. 1594- 606 607 608 609 610 611 612 614 616 621 623 624 625 626 628 629 631 636 637 638 640 641 642 643 644 645 646 647 648 653 656 659 661 662 663 66s 666 667 668 669 670 671 672 673 67s 680 681 682 683 684 686 691 692 / / / 1 / / 4 45 / / 1 / / / 1 20 40 8 40 6 30 40 40 3 10 40 40 8 40 6 30 8 40 6 30 8 40 6 30 8 40 6 30 7 40 7 SO 1 2 40 3 3 3 3 4 40 9 20 8 15 8 20 II 4S 10 45 3 10 3 10 3 10 3 10 3 10 3 10 I 20 +4 7 5° 3 5 20 +0 IS +4 4 4 +4 +4 +0 IS +4 S 20 II 20 10 IS IS IS 15 ;i4 4S\ III 45/ IS 20 II 45 15 20 II 45 15 20 II 45 IS 20 15 15 15 II 45 15 20 IS 15 15 20 14 45 14 30 14 45 14 45 15 10 14 45 14 45 16 23 23 23 23 15 45 14 20 18 30 4 IS 6 • 4 IS f lO" 160/ +7 45 +8 30 4 IS 4 IS 6 4 15 6 6 6 8 45 +8 30 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. 197 Baily's No. Laur. 48. Vat. 1038. Vat. Reg. 90. Bod. 3374- Laur. 6. Laur. 45- B. M. S. 2795. B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. 606 607 608 609 610 611 612 613 614 616 621 623 624 625 626 628 629 631 636 637 638 640 641 642 643 644 ^6 647 648 653 656 661 662 663 66s 666 667 668 669 670 672 673 67s 680 681 682 683 684 686 691 692 / / 1 / / 1 1 / / / / f 4 45 I SO 4 SO 50 50 6 30 8 40 4 SO 50 6 30 8 40 I SO 40 8 40 6 30 40 40 50 6 30 8 40 4 40 3 5° 4 45 7 45 10 +3 3 20 5 19 45 9 8 30 8 40 10 40 9 3 30 2 10 1 SO 4 40 7 5 30 IS 15 8 50 20 3 10 4 3 40 3 20 30 1 4 7 3 10 3 10 2 10 3 10 4 40 4 4 + 40 7 50 4 + 40 + 15 I 8 30 12 8 50 12 II 45 15 20 IS IS IS II 45 15 20 II 4S 24 45 44 45? IS 45 15 IS' 15 IS IS 15 IS IS 14 50 14 50 14 50 14 SO 14 50 II 23 15 45 II 20 18 23 23 23 23 23 21 20 14 20 14 20 14 20 18 50 14 20 9 IS 9 15 2 30 2 30 6 30 5 50 2 45 2 45 4 IS 6 6 6 I 20 6 I 20 7 6 6 6 198 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. Baily's No. Par. 2389- i Par. 2390. Par. 2391. 1 Par. 2394- Ven. Ven. Ven. Ven. 302. 303. 310. 311. Ven. 312. Ven. 1 Laur. 313- I- Laur. 47- Vat. 1594- 693 / / + 1 40 I 50 / / / / f I 30 / / 1 / / / + 1 40 1 SO 694. I CO I SO 69 q 698 700 21 40 701 702 23 ! 23 23 23 23 23 23 23 23 23 23 703 70s 707 708 709 710 13 15 11 13 IS 13 IS 13 13 1 1 711 ! 713 714 715 716 717 720 721 722 723 724 72s 726 727 728 729 730 733 734 i fll 0' I14 0/ II 10 IC 10 15 14 IS fi4 01 In 0/ II fi4 01 In 0/ 21 50 20 50 II 40 13 30 23 18 IS :":::.. .....xv.v: ! 20 20\ f20 20-1 I23 0/ ri6 3o|| 123 20J 16 30 13 30 16 30 fi6 301 r ii3 30/ '^ 30 16 lOl .16 30/ 1 3t i^i^ 2,0). 737 i 739 740 14 SO 1 741 1 9 30 ! ] 742 \ 745 1 115 1 1 746 i{;^ j°} 74« [f, "}■ 7'52 .... i9{pi 12 40 20 20 ^ 12 40 12 40 12 40 21. \ 2^ 19 40 2 40 19 50 2 40 1 : 1 L . 2 40 20 20 . . . .: 14. lA 7=;s :. . : 19 SO 756 1 1 7S7 ! : 21 01 ■ ill 758 24 30 759 , f 24 30 i 21 10 760 \ 1 i 2T cn i 762 , ^ : ] • 1 763 : ' 1 28 20 28 20 28 20 i ' 28 20 28 20 766 30 40 .... ' I 40 1 30 20 1 " 767 ! ^0 i;o ' I !;o i i 1 1 1 i Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. 199 Baily's No. Laur. 48. Vat. 1038. ; Vat. Reg. 90. / 1 20 Bod. 3374- Laur. 6. 1 1 / Laur. 45- B. M. S. 2795. B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. ' Vienna Trap. 24. 693 694 69s 698 700 701 702 703 70s 707 708 709 710 711 713 714 71S 716 717 720 721 722 723 724 72s 726 727 728 729 730 733 734 737 739 740 741 742 745 746 748 752 755 756 757 758 759 760 762 763 766 767 / / 1 / / / 1 20 I 55 20 / 1 20 I so / 1 20 I SO / 1 20 I SO / 1 20 / I so 24 40 21 45 19 55 23 23 2'? 2^ 23 23 23 ? 23 23 II 20 13 13 13 13 16 II 2 30 2 so 5 so 5 50 5 50 7 20 11 45 12 25 8 30 6 28 10 29 30 27 25 10 30 30 20 20 IS so IS II 20 13 40 II II 10 IS 10 IS 1 29 10 26 30 15 20 IS 20 IS 20 II 40 13 40 1 23 13 30 23 20 23 20 28 50 13 SO 18 so 13 SO 14 50 I II 55 1 10 40 1 6 30 SI 1 3 IS 3 15 i 1 2 40 i 1 12 40 20 20 ] 12 40 2 40 23 10 23 20 20 20 20 20 20 20 20 20 16 10 1 24 30 21 10 28 40 28 40 22 50 28 40 28 40 ' 30 15 ; ! i 1 ' 200 Ptolemy's Catalogue of Stars. Collations of Manuscripts — -Latitudes — continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. / Par. 2394- Ven. 302. Ven. 303- Ven. 310. Ven. 311- Ven. 312. Ven. 313- Laur. I. Laur. 47- Vat. IS94- 768 769 770 771 772 774 77S 776 777 778 779 780 781 786 787 789 790 792 794 796 797 798 799 800 801 802 803 804 80s 806 807 808 809 810 812 813 814 81S 816 818 819 821 823 826 829 830 832 833 834 836 837 838 840 841 842 843 / / / / / 1 / / / / / / 34 34 34 34 28 30 27 27 27 32 30 31 SO 23 30 23 30 23 20 23 30 23 30 23 30 23 30 23 30 23 30 23 30 23 30 23 30 23 30 34 20 S3 20 S3 20 S3 20 S3 20 S3 20 S3 20 S3 20 53 54 4S S3 20 S3 20 S3 20 S3 20 S3 20 S3 30 13 30 31 10 3S IS 44 20 41 20 43 IS 41 20 4S 20 36 10 42 20 58 S8 S8 S8 S8 58 S9 SO S9 SO S9 SO S9 SO S9 SO S9 4S Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. 201 Baily' No. s Laur. 48. Vat. 1038. Vat. Reg. 90 Bod. • 3374- Laur. 6. Laur. 45- B. M. S. 2795. B. M. Reg. 16. B. M. 7475- Bod. 369- Laur. 156. Vienna Trap. 24. 768 769 770 771 772 774 m 776 777 778 779 780 781 786 787 789 790 792 794 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 812 813 814 81S 816 818 819 821 823 826 829 830 832 833 834 836 837 838 840 841 842 843 . / / 1 / 1 / / 30 30 / / / 31 10 / / 29 20 3; 30 19 SO 29 10 33 SO 31 30 29 SO 31 30 27 20 28 so 23 30 27 27 27 27 26 26 so 23 30 23 30 23 30 23 30 33 10 23 so 23 SO 23 so 23 SO 23 30 31 5° 38 44 41 30 43 30 S3 20 S3 SI 30 S3 20 SO 20 SO 20 SO 20 II 45 13 SO 13 10 13 13 30 11 45 13 SO 13 10 13 13 30 12 13 30 S3 20 SO 20 52 30 52 30 52 30 S3 SO 13 30 IS 36 SO 36 40 26 40 39 40 39 40 41 so 41 20 41 10 41 20 44 41 20 45 IS 45 IS 45 IS 32 20 3S 30 3S 4S 37 SO 45 20 46 46 51 SO 55 30 54 45 54 45 25 10 41 30 61 30 58 51 45 55 30 55 10 i7 10 59 30 59 30 59 30 59 30 202 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — ^continued. Baily's No. Par. 2389. Par. 2390. Par. 2391. Par. 2394- Ven. 302. Ven. 303- : Ven. 310. Ven. 311- - Ven. 1 312- j Ven. Laur. 313- I- Laur. 47- Vat. 1594- 844 84s 846 847 8ci / / / / / / / / / / 1 / / / 1 ... 1 4 44 " 44 44 44 852 853 85s 856 858 859 "1 1 ; /49 451 I49 30/ 49 45 49 45 49 15 49 45 49 IS 49 45 /43 o1 ^53 oJ f48 401 158 0/ US 30-I ^55 30J f48 40-1 53 43 S3 43 43 48 40 45 30 48 40 860 ■ 861 55 30 862 45 30 56 IS 55 30 45 30 863 ;i.5» 40J 5° 45 864 865 866 868 869 A'^ 56 20 56 20 56 20 56 15 56 20 S6 20 56 20 56 20 56 20 56 20 871 871 874 875 876 877 51 40 51 40 SI 40 SI 40 j 879 881 51 30 ! 51 30 : 51 30 51 30 51 30 51 30 SI 30 51 30 63 15 51 30 51 30 51 30 SI 30 51 30 882 ; j 883 886 ■ ; ' i . 887 889 62 15 : 62 15 62 I c ! 62 IS 62 IS 891 \ 65 20 892 1 893 894 IS 10 895 13 40 i^ 10 n 4.0 13 40 13 40 13 40 13 10 13 10 896 .. . ...:.... , 897 14 45 1 898 900 901 i 902 i ' 907 ! i i ' 1 1 i 908 ' 909 1 910 26 15 1 26 15 1 26 15 26 15 26 IS 45 30 26 15 26 IS 45 30 26 15 f24 401 I49 30/ 26 IS 49 30 /24 401 I26 is/ 45 30 26 IS 45 30 26 IS 45 30 1 1 Ptolemy's Catalogue of Stars. Collations of Manuscripts — Latitudes — continued. 203 Baily's No. Laur. 48. Vat. Vat. 1038. iReg. 90. Bod. 3374- Laur. 6. / Laur. 45- / B. M. S. 2795. / 59 30 B. M. Reg. 16. B. M. 7475- 1 Bod. 369- Laur. Vienna 156. Trap. 24. 844 84s 846 847 851 852 853 855 856 858 859 860 861 862 863 864 865 866 868 869 871 873 874 875 876 877 879 881 882 883 886 887 889 891 892 893 / 1 / 1 / / ° ' 1 / / ' / 57 50 I 59 50 j:? J- i ' . . . . 17 A A n \ A A \ AC in 44 " ' 44 " i 46 10 40 30 49 30 49 30 4.0