UC-NI SB Sb7 SIR ISAAC NE BlBLIOG BY G. J. GRAY OF THE UNIVERSITY * OF .- A BIBLIOGRAPHY OF THE WORKS OF SIR ISAAC NEWTON CAMBRIDGE PRINTED BY JONATHAN PALMER ALEXANDRA STREET STATUE '03P iSm Sf AAi- HSW3TOH, IN THE ANTE CHAPEL. THINI'lY COLLEGE. A BIBLIOGRAPHY OF THE WORKS OF SIR ISAAC NEWTON Together with a List of Books illustrating his Works WITH NOTES BY GEORGE J. GRAY Second Edition, Revised and Enlarged Cambridge Bowes and Bowes 1907 • - , acid M7G-7 NOTE THE first edition of this work, consisting of 120 copies, printed in 1888, has become so scarce that it was thought advisable to issue a new and revised edition. Many important additions have been made, and special attention might be called to the two issues of the first edition of the Principia, to the two differently dated copies of the second edition of the Optics, and to the six varying issues of the Commercium Epistolicum, etc., giving information now printed for the first time. It is hoped that the cordial reception given to the first issue will be merited in this revised and enlarged edition. G. J. GRAY. October , igof. CONTENTS PAGE I COLLECTED EDITIONS OF WORKS I II THE 'PRINCIPIA' 5 ABRIDGEMENTS AND PORTIONS 10 TRANSLATIONS 16 ILLUSTRATIONS . . .22 III OPTICS 35 TRANSLATIONS -37 OPTICAL LECTURES . . . . . . . . .40 TRANSLATIONS 41 ILLUSTRATIONS 41 PAPERS PRINTED IN THE ROYAL SOCIETY'S TRANSACTIONS . 45 IV FLUXIONS 46 TRANSLATION .48 THE COMMERCIUM EPISTOLICUM 49 ILLUSTRATIONS 52 V ARITHMETICA UNIVERSALIS . . . , . . . 56 TRANSLATIONS • • -57 ILLUSTRATIONS * . 58 VI MINOR WORKS . .59 VII CHRONOLOGICAL, THEOLOGICAL & MISCELLANEOUS WORKS 61 VIII REPORTS ON COINAGE, &c 68 IX WORKS EDITED BY NEWTON 69 X MEMOIRS, &c 70 INDEX 76 Illustration facing Title-page Statue of Newton by ROUBILIAC, from a Drawing by F. MACKENZIE, engraved on Steel by J. LE KEUX, 1838 Works of Sir Isaac Newton I. COLLECTED WORKS. Isaaci Newtoni Opera quae exstant omnia. Commentariis illustrabat Samuel Horsley, LL.D., R.S.S., Reverendo admodum in Christo patri Roberto episcopo Londinensi a sacris. 5 vols. 1779 — 1785. 4to. [I Contents: Vol. I. (i) Arithmetica Universalis. (2) Tractatus de Ratio- nibus Primis Ultimisque. (3) Analysis per .^Equation es numero terminorum Infinitas. (4) Excerpta quaedam ex Epistolis ad Series Fluxionesque pertinentia. (5) Tractatus de Quadratura Curvarum. (6) Geometria Analytica sive specimina Artis Analyticae. (7) Metho- dus Differentialis. (8) Enumeratio Linearum tertii Ordinis. Vol. II. Principiorum Libri Priores duo, De Motu Corporum. Vol. III. (i) Principiorum Liber Tertius, de Systemate Mundi. (2) De Mundi Systemate. (3) Theoria Lunae. (4) Lectiones Opticae. Vol. IV. (i) Opticks. (2) Letters on various Subjects in Natural Philosophy, published from the Originals in the Archives of the Royal Society. (3) Letters to Mr. Boyle on the Cause of Gravitation. (4) Tabulae Duae, Colorum altera, altera Refractionum. (5) De Problematibus Bernoullianis. (6) Propositions for determining the Motion of a Body urged by two Central Forces. (7) Four Letters to Dr. Bentley. (8) Commercium Epistolicum, &c., cum recensione praemissa. (9) Additamenta Commercii Epistolici ex Historia Fluxio- num Raphsoni. Vol. V. (i) Chronology of Antient Kingdoms amended. (2) Short Chronicle from a MS. the property of the Rev. Dr. Ekins. (3) Obser- vations upon the Prophecies of Holy Writ, particularly the prophecies I 2 BIBLIOGRAPHY OF NEWTON of Daniel and the Apocalypse of St. John. (4) An Historical Account of two Notable Corruptions of Scripture, in a Letter to a Friend. This is the only complete edition of Newton's works. It is dedicated to the King, and contains the following papers by the Editor : (i) Logistica Infinitorum, (2) Geometria Fluxionum sive Additamentum tractatus Newtoniani de Rationibus Primis Ultimisque, in Vol. I. ; (3) De viribus centralibus quae rationem triplicatse distantiarum a centre contrariam inter se constanter servant, in Vol. III. Isaaci Newtoni, Equitis Aurati, Opera Mathematica, Philosophica et Philologica. Collegit partimque Latine vertit ac recensuit Joh. Castillioneus jurisconsultus. Lausannse & Genevae, Apud Mar- cum-Michaelem Bousquet & Socios. 1744. 8 volumes. 4to. [2 The Principia, 3 vols. ; Arithmetica Universalis, i vol. ; Optice et Lec- tiones Opticae, i vol. ; Opuscula Mathematica, &c., 3 vols. Contents of the Opuscula Mathematica, &c. : TOMUS I. continens Mathematica : 28 plates and 2 folding Tables. Dedicated to the Royal Society by Castillioneus. J. Castillioneus Lectori S. De Vita Isaaci Newtoni commentariolus. I. Analysis per aequationes numero terminorum infinitas. Edita Londini, 1711. II. Methodus fluxionum et serierum infinitarum, Cum ejusdem applicatione ad curvarum geometriam, Anglice edita a J. Colsono, Londini, 1736. III. Tractatus de quadratura cur- varum. Editus Londini, 1706. IV. Enumeratio linearum tertii ordinis. Edita Londini, 1706. V. Methodus differentialis. Edita Londini, 1711. VI. & VII. Solutiones problematum quorundam, editae in Transac. Philosoph. Mens. Jan. &c. 1697, num. 224, 225, & 1716, num. 347 [VI. (i) Epistola missa ad ... Carolum Montague . . . ubi solvuntur duo Problemata Mathematica a Johanne Bernoullio . . . proposita. VI. (2) De Ratione Temporis quo Grave labitur per Rectam data duo Puncta conjungentem ad Tempus bre- vissimum, quo, vi Gravitatis, transit ab horum uno ad alterum per Arcum Cycloidis. VII. Problematis olim in Acti Eruditorum Lipsiae propositi solutio generalis.] VIII. & IX. Excerpta ex epistolis aut I. Newtoni aut ad eum spectantibus. Editis in Commercio Epistolari COLLECTED EDITIONS 3 Collinsii, &c. [VIII. Excerptum ex Ep. I. Newtoni ad Collinsium 10 Dec. 1672. IX. Excerpts from letters of Oldenburg, Leibnitz, and Collins.] X. Epistola prior ad Oldenburgium. Edita in Commercio Epistolico, &c. XL & XII. Epistola posterior ad Oldenburgium. Edita in Commercio Epistolico. Et ejusdem epistola ad Collinsium, edita Londini, 1711. XIII. Excerptum ex duabus epistolis Isaaci Newtoni ad Johannem Wallisium. XIV. Epistola ad Chamberlaynum. XV. Epistola ad Abbatem Conti. XVI. Notae in epistolam Leibnitii ad Abbatem Conti. TOMUS II. continens Philosophica. With 32 plates. Dedicated to J. A. Kilchberguer, Christoph. Steiguer, G. de Mouralt, A. Hacbrett, C. Willading, B. L. Berseth (Senators of Berne), by the Editor. XVII. De Mundi Systemate liber. Editus Londini, 1731. XVIII. Lectiones Opticae, Annis 1669, 1670, & 1671 in Scholis publicis habitae, & ex MSS. editae Londini, 1729. XIX. Scripta inserta Transactionibus Philos. Regiae Societatis Londinensis. Sub. Numis 80 — 85, 88, 96, 97, no, 121, 128. XX. Dissertatio de natura acidorum cum ejusdem cogitationibus variis. Edit, in praefat. Dic- tionarii Technici Johannis Harris. Edit, quinta, Londini, 1736. XXI. Scala graduum coloris et frigoris edita in Trans. Philos. Mensis Aprilis 1701, num. 270. TOMUS III. continens Philologica. With 4 plates. Dedicated to J. R. Tillier, C. Steiger, C. E. de Wattenwille, M. Morlot (of Berne and Lausanne), by the Editor. XXII. Brevia Chronica a prima rerum in Europa gestarum memoria ad Persidem ab Alexandro Magno in potestatem redactam. Anglice edita Londini, 1728. XXIII. Chronologia veterum regnorum emen- data. Edita Londini, 1728. XXIV. Animadversiones in observationes factas in ejusdem Brevia Chronica Gallice versa ab observationum auctore et edita Lutetiae Parisiorum. Editae in Philos. Transactionibus. Mens. Julii & Augusti 1725, num. 389. XXV. Ad Danielis Profetae vaticinia, nee non Sancti Joannis Apocalypsin, Observationes. Ex Anglica lingua in Latinam convertit, &c. Gulielmus Suderman. XXVI. Dissertatio de sacro Judaeorum cubito et de cubito aliarum 4 BIBLIOGRAPHY OF NEWTON gentium. Edita Anglice in Miscellaneis operibus Johannis Gravii. Index rerum notabiliorum. Avis pour Messieurs les Relieurs. Biblo- pegum monere necesse est. The title-page of each volume contains a vignette : medallion of Newton, with two cherubs, &c., and motto 'Noviora cecinit,' De la monce Del. Cl. Duflos SeuL A Catalogue of the Portsmouth Collection of Books and Papers written by or belonging to Sir Isaac Newton, the scientific portion of which has been presented by the Earl of Portsmouth to the University of Cambridge. Drawn up by the Syndicate appointed the 6th November, 1872. Cambridge, at the Univer- sity Press, 1888. 8vo. pp. xxx + 5 6. [3 Preface signed by H. R. Luard, G. G. Stokes, J. C. Adams, and G. D. Liveing. An Appendix to the Preface contains reprints of the following papers : I. The form of the Solid of Least Resistance. II. A List of Propositions in the Lunar Theory intended to be inserted in a second edition of the Principia. III. The motion of the Apogee in an elliptic orbit of very small eccentricity, caused by given disturbing forces. The Catalogue is divided into 15 sections : I. Mathematics. II. Chemistry. III. Chronology. IV. History. V. Miscellaneous Papers, chiefly on Theological Studies. VI. Letters. VII. Books. VIII. Miscel- laneous Papers. IX. Correspondence, Articles of Agreement, &c., about the publication of Flamsteed's Observations. X. Correspond- ence between Conduitt and Fontenelle about the 6loge, Conduitt's Memoirs of Newton, London Gazette with account of Newton's funeral. XI. Drafts of fragments of Conduitt's intended Life of Newton. XII. Letters and Memoranda relating to Newton after his death. XIII. Papers on Newton's family matters and on the Mint. XIV. Books and Papers not by Newton. XV. Complimentary Letters to Newton from distinguished foreigners. — A Large Paper edition was issued, printed on hand-made paper, and bound in roxburghe binding. 1888. [4 PRINCIPIA 5 Bibliography of the Works of Sir Isaac Newton : together with a List of Books illustrating his Life and Works. By G. J. Gray. Cam- bridge, 1888. 8vo. pp. 40. [5 The first edition of this work, which is now reprinted : 120 copies printed for Subscribers. II. PRINCIPIA. Philosophise | Naturalis | Principia | Mathematica. | Autore Is. Newton, Trin. Coll. Cantab. Soc. Mathefeos | Profeflbre Lucafiano, & Socie- tatis Regalis Sodali. | Imprimatur. | S. Pepys, Reg. Soc. Praeses. | Julii 5. 1686. | Londini, | Juffu Societatis Regies ac Typis Jofephi Streater. Proftat apud plures Bibliopolas. Anno MDCLXXXVII. | 4to. [6 Collation : Title, Dedication to the Royal Society, Prsefatio ad Lectorem (signed Is. Newton), Halley's verses : ' In viri prsestantissimi D. Isaaci Newtoni opus hocce mathematico-physicum Saculi Gentisquc nostrae Decus egregium* (signed Edm. Halley), 4 11. -f- pp. [i] — [383], [400] — [510], -f i 1. blank, -f- Errata, i 1. Sigs. A — Zz, #%, Aaa — Ooo4, i If. (errata). The leaf of Errata is sometimes bound after Halley's verses, i folding plate at p. 496 or after Halley's verses. The guards to pp. 105—6 and 111—12 are left in some copies. This is explained in Halley's letter to Newton, 14 March, i68f , ' if they [the mistakes] be very material, the sheet shall be done over again, as I was forced to do the sheet D, and half the sheet P must be done, for the figure is turned upside down by ye negligence of the printer in p. 112.' It is also worth noting that the catchword at the bottom of p. 1 12 is 'tivi,' but 'tive' com- mences the next page. — Reissued afterwards with a new title-page, containing a different imprint : Londini, | Juffu Societatis Regiae ac Typis Jofephi Streater. Proftant Vena-|les apud Sam. Smith ad infignia Principis Wallia in Coemiterio | D. Pauli, aliosq; nonnullos Bibliopolas. Anno MDCLXXXVII. I 4to. [7 6 BIBLIOGRAPHY OF NEWTON Collation : as previous issue. The guards of the new title-page and the fourth leaf are shown, and thus prove this edition to be the re-issue. I have the rubbing of the binding of a copy of this edition, which was bound in red morocco, with sides and back elaborately tooled and inlaid with dark green leather, with a leather label inside the cover — Ex Dono Sam: Smith Bibliop. Lond. John Dunton (Life and Errors, 1818, I. 207) says of him, 'Mr Samuel Smith, book- seller to the Royal Society deals very much in Books of a Foreign growth, and speaks French and Latin with a great deal of fluency and ease. His Shop is very beautiful, and well fur- nished . . . His Partner, Benjamin IValford, is a very ingenious man, and knows Books extraordinary well.' The years 1685 and 1686 will ever be memorable in the life of Newton and the history of science. It was in these two years, and in the early months of 1687, that the Prindpia was composed and given to the world. On the 2 1st of April, 1686, Edmund Halley announced to the Royal Society 'that his worthy country-man, Mr Isaac Newton, has an incomparable Treatise of Motion almost ready for the press,' and at the next meeting, 28th April, 'Dr Vincent presented to the Society a manuscript treatise entitled Philosophies Naturalis Prindpia Mathematica, and dedicated to the Society by Mr Isaac Newton.' This was the first book, and the printing of it was referred to the consideration of the Council, Mr. Halley in the meantime was to make a report of it to the Council. At the next meet- ing, igth May, it was ordered ' that Mr Newton's book should be printed forthwith in quarto, and that Mr Newton's opinion be desired as to printing, volume, cuts, and so forth.' It was again ordered, 2nd June, ' that Mr Newton's book be printed, and that Mr Halley undertake the business of looking after it, and printing it at his own charge, which he engaged to do, ' The first sheet in proof was sent to Newton, June 7th, 1686. Halley undertook the labour of editing, and the expense of printing the Prindpia^ and thus earned the gratitude of Newton and posterity. On the 3Oth of June the President (Samuel Pepys) was desired by the Council to license the work, and after having obtained Newton's leave, in July, to sub- stitute wooden cuts for copper-plates, the printing was commenced. The Second Book, though ready for the press in the autumn, was not sent to the Society until March, 1687 ; the Third Book was presented to the Society on the 6th of April, and the complete work was published in midsummer of 1687, Newton's copies being sent him on the 5th of July. ' R. T. G.' in the Dictionary of National Biography says, ' The Prindpia was published* but without a date, about Midsummer, 1687.' I have not heard of any undated copies of the Pnncipia. From Halley's letters to Newton it would seem that he contemplated using two or three printers to expedite the printing. On Feb. 24th, 1687, he said, 'I will employ another press to go on with the second part, which I understand you have ready.' On March 7th, ' I received . . . your Second Book, which this week I will putt to the press having agreed with one that promises me to get it done in 7 weeks . . . the first book will be finished about the same time.' Then, April 5th, he says, 'the first part will be finished within this three weekes, and considering the shortness of the third over the second, the same press that did the first will get it done as soon as the second can be finished by another press ; but I find some difficulty to match the latter justly.' PR1NCIPIA 7 After examining the book, it seems unlikely that the First and Second Books were printed by different printers. There is nothing to indicate this. The paging and signatures run on correctly, the First Book ending on p. 235 and the Second Book commencing on p. 236 ; and these pages are signature Gg2 of the sheet. It seems most likely that both Books were printed by the same printer. With the Third Book it is different; this was undoubtedly printed by another printer. The general heading is in a different type, and not printed uniformly with the headings of the other Books. Then there is the omitted paging between the Second and Third Books, though the last page of the Second Book was altered from 384 to 400 to show the omission was known, and the *% used as signature to the last sheet of the Second Book, to avoid the overlapping of signatures. The price of the work was fixed by Halley (Letter to Newton, 5th July, 1687) 'to be 9 shillings bound in calves leather and lettered.' To booksellers his terms were, 'in quires at 6 shillings to take my money as they are sold, or at 5sch- a piece certain for ready, or else at same time ; for I am satisfied that there is no dealing in books without interesting the Booksellers, and I am contented to let them go halves with me, rather than have your excellent work smothered by their combinations.' The edition was small, and we know that besides giving copies away, he sent Newton twenty copies to give to his friends, and forty for him to place with the Cambridge Book- sellers. Cotes, in his Preface to the second edition of the Prindpia, states that copies of the first edition were scarce, and could only be obtained at an immense price. Sir Wm. Browne, when at college, gave more than two guineas for a copy, and owing to the difficulty of pro- curing one at a reasonable price, the father of Dr. John Moore, of Glasgow, transcribed the whole work with his own hand. — Brevrster's Newton, I. 337. Philosophise | Naturalis | Principia | Mathematica. | Auctore | Isaaco Newtono, | Equite Aurato. | Editio Secunda Auctior et Emendatior. | Cantabrigiae MDCCXIII. | 4*0. [8 Collation: Title, Dedication to the Royal Society, Auctoris Praefatio ad Lectorem, Maii 8, 1686. Auctoris Praefatio, Mar. 28, 1713. Editoris Praefatio, Maii 12, 1713. 12 11. + Index Capitum, i 1. + pp. i — 484, + Index Rerum Alphabeticus, 4 11. (Corrigenda on verso of last leaf). Sigs. a — c*d*B — Qqq4Rrr2. One plate opposite p. 465. 750 copies were printed by Cornelius Crownfield, the printer to the University of Cambridge. Many alterations were made in this edition, the date May 4, 1686, being added to Newton's Preface to the first edition. Cotes, in addition to editing the work, wrote a Preface, and also added the ' Index Rerum Alphabeticus.' Dr. Richard Bentley was entrusted with the task of issuing this second edition, and on the loth of June, 1708, he sent to Newton the first sheet set up as a specimen, and had bought a hundred reams of paper, ' it being impossible to have got so good in a year or two (for it comes from Geneva), if I had not taken this opportunity with my friend Sir Theodore Jansen, the great paper merchant of Britain. I hope you will like it, and the letter t»o, which upon trials we found here to be more suitable to the volume than a greater, and more 8 BIBLIOGRAPHY OF NEWTON pleasant to the eye ... Note that the print will look much better when a book is bound and beaten.' Nothing more seems to have been cone until the 2ist of May, 1709, when Bentley wrote to Professor Roger Cotes that he had arranged with Newton for him to superintend the new edition of the Principia. The correspondence between Newton and Cotes during the printing of the work has been published, edited by Dr. Edleston (see No. 383) from the originals in Trinity College Library. Five sheets were printed off by October 2Oth, 1709, but the work was not finished until the first week of March, 1713, when Cotes wished Bentley to write the Preface, but at the request of Newton and Bentley he wrote the Preface himself. On the 25 th of June, 1713, Cotes announced to the author ' that the book is finished. ' In July, Bentley wrote to Newton, ' You will receive by the carrier, according to your order, six copies ; but pray be so free as to command what more you shall want. We have no binders here that either work well or quick, so you must accept them in quires. I gave Roger (Cotes) a dozen ... I have sent (though at great abatement) 200 already to France and Holland. The edition in England^to the last buyer is 15^ in quires, and we shall take care to keep it up for the honour of the book.' On the 27th of July, Newton personally presented a copy to the Queen. The whole profits of this edition were taken by Bentley. On one occasion Newton wrote to Cotes (Oct. I4th, 1712) concerning the correction of an error which would 'require the reprinting of about a sheet and a half ... I will pay the charge of reprinting it.' In a conversation with Newton, John Conduitt asked him "how he came to let Bentley print his Principia, which he did not understand. * Why,' said he, 'he was covetous, and I let him do it to get money.'" — Brewster's Newton, 1855, !• 3r4* Philosophise | Naturalis | Principia | Mathematica. | Auctore | Isaaco Newtono, Eq. Aur. | Editio tertia aucta & emendata. | Londini : | Apud Guil. & Joh. Innys, Regiae Societatis topo- graphos. | MDCCXXVI. | 4to. [9 Collation : Royal Privilege to W. and J. Innys, half Title, Title, Dedica- tion to the Royal Society, Halley's Verses, Newton's Prefaces to the first and second editions, Roger Cotes's Preface to the second edition, Newton's Preface to the third edition, 12 Jan. 1725-6, and Index Capitum, 17 11 + pp. 1—530 + Index Rerum, 3 11 + Catalogus Libro- rum prostantium apud Guil. & Joh. Innys, i If. Sigs. 5 11 + a — c, B — Yyy4 + i If. Portrait of Newton, aet. 83, I. Vanderbank pinxit 1725, Geo. Vertue Sculpsit, 1726. — A Large Paper Edition was also printed on thick paper. 13 x 9 inches. Folio. [10 Only 12 copies were printed, evidently for presentation. Dr. James Bradley (to whom Newton presented a copy) says ' that they were all originally bound with gilt leaves in red morocco, to a pattern which was much used for the Harleian Library.' PRINCIP1A 9 Ten copies are accounted for by Brewster (II. 383) — I in Trinity College Library. i in Queens' College Library, the copy given by Newton to J. F. Fauquier. i in the Royal Society Library, presented by Martin Folkes in the name of the President, 31 March, 1726. I in the Oxford Observatory, the copy given to Bradley. 6 sent to Fontenelle, for the Academy of Sciences, for himself, and for the principal mathematicians in Paris. There are also two copies in the British Museum ; one in the King's Library, with the arms of George I. on the cover ; one in the Grenville Library, with the bookplate of Sir John Buckworth. This is the last edition revised by the Author. Roger Cotes died in 1716, so that a new editor had to be found, and Newton entrusted Henry Pemberton with the work of passing the third edition through the press. Printing commenced either at the end of 1723 or the beginning of 1724, and the work completed in February, 1726, and in March, or shortly afterwards, published. On the authority of John Conduitt, Pemberton received two hundred guineas from Newton for the work. Many alterations were made, and Halley's verses were printed nearly in the form in which they appeared in the first edition. Some of the differences between the second and third editions are printed in Brewster's Life of Newton (1855, pp. 549 — 556, or 1860, II. 304 — 309, 314 — 319) from a list made by the late Professor John Couch Adams. The Royal Privilege is as follows : GEORGE R. Whereas Our Trusty and well beloved William Innys and John Innys of Our City of London, Booksellers, have by their Petition represented unto Us, that they have at great Charge and Expense printed a new and correct Edition of a Book intituled, Philosophies Naturalis Principia Mathematica ; Auctore Isaaco Newtono Eq. Aur. Editio tertia aucta 6° emendata : And the sole Right and Title of the Copy of the same, being vested in the said William Innys and John Innys, they have humbly besought Us to grant them Our Royal Privilege and License, for the sole printing and publishing thereof for the Term of fourteen Years : We being willing to give all due Encouragement to Works of this Nature, which tend to the Advancement of Learning, are graciously pleased to gratify them in their Request, and do, by these Presents, agreeable to the Statutes in that Behalf made and provided, for Us, Our Heirs and Successors, give and grant unto them the said William Innys and John Innys, their Executors, Administrators and Assigns, Our Royal License for the sole printing and publishing the said Book intituled Philosophiae Natut alis Principia Mathematica ; Auctore Isaaco Newtono^ Equite Aur. for the term of fourteen Years from the date hereof, strictly for- bidding all Our Subjects within Our Kingdoms and Dominions to reprint the same, either in the like or in any other Volume or Volumes whatsoever, or to Import, Buy, Vend, Utter or Distribute any Copies thereof reprinted beyond the Seas, during the aforesaid term of fourteen Years, without the Consent or Approbation of the said William Innys and John Innys, their Heirs, Executors, and Assigns under their Hands and Seals first had and obtained, as they shall answer the contrary at their Peril. Whereof Our Commissioners and other Officers of Our Customs, the Master Wardens and Company of Stationers, are to take Notice that due Obedience be rendered thereunto. Given at our Court at St. James's the twenty fifth Day of March, 1726, in the twelfth Year of Our Reign. — By his Majesty's Command, TOWNSHEND. In 1739 the first volume of an edition of the Principia, with commentary by T. Le Seur and F. Jacquier, was published at Geneva (see No. 14), and this edition was afterwards re- edited by J. M. F. Wright, and published at Glasgow in 1822 (see No. 17). io BIBLIOGRAPHY OF NEWTON Reprints and Later Editions. The year following the publication of the second edition of the Principia, the work was reprinted at Amsterdam : Philosophise | Naturalis | Principia | Mathematica. | Auctore | Isaaco Newtono, I E quite Aurato. \ Editio Ultima | Auctior et Emen- datior. | Amstaelodami | Sumptibus Societatis, | MDCCXIV. 4to. [i i Collation: Title; Dedication; Auctoris Praefatio ad Lectorem, Mali 8, 1686; Auctoris Praefatio, Mar. 28, 1713; Editoris Praefatio, Maii 12, 1713; 13 11 + Index Capitum, i 1. + pp. i — 484 + Index Rerum Alphabeticus, 4 11. i Plate opposite p. 465. Sigs. [a]*, b — c4d2, A-Ppp4Qqq2. Dr. Bentley's statement in his letter of 25th June, 1713, that he had sent 200 copies of the second edition of the Principia to France and Holland (see No. 8) might lead to an ex- pectation that this edition consisted of the sheets sent out from Cambridge. But it is not so. The entire work was reset in Amsterdam, and the text corrected according to the Corrigenda and the single correction noted on p. 484 of the Cambridge edition of 1713. The woodcuts and plates were also re-engraved. The Journal Litteraire de la Haye (for July and August, 1713) says : " Une compagnie de libraires imprime ici ' Philosophiae Naturalis Principia Mathematica,' sur la seconde edition qui vient de paraitre en Angleterre. Deux presses roulent continuellement pour avancer cet ouvrage." (Rigaud's Newton^ p. 106.) Philosophiae | Naturalis Principia | Mathematica. | Auctore | Isaaco Newtono, | Equite Aurato. | Editio Ultima | Cui accedit Analysis per Quantitatum Series, Fluxiones ac Differen-|tias cum Enume- ratione Linearum tertii ordinis. | Amstaelodami, | Sumptibus Societatis. | M.D.CCXXIII. | 4to. [12 Collation: Title, &c. (as in 1714 edition), 14 11. +pp. i — 484, + Index, 4 11. + Analysis per Quantitatum Series^ &c. : Title, Praefatio Editoris (W. Jones), Index Opusculorum quae in hoc Libro continentur, 6 11. + pp. i — 107, reverse of 107 blank, i plate opposite p. 465, and 2 folding plates : No. i. Tabulae Curvarum simpliciorum quae cum Ellipsi et Hyperbola comparari possunt; No. 2. Residuum Tabulae, opposite p. 66 of the Analysis. Sigs. [a], b, c4d2, A — Ppp4 Qqq2, a4b8A— N402. This edition re-set, with the plate and diagrams re-engraved. In the Analysis per Quantitatum Series, head and tail-pieces and woodcut initials are used. One tail-piece used several times has in the oval centre the initials G. W. with the 4 mark. PR I NCI PI A II Philosophiae | Naturalis | Principia | Mathematica. | Auctore | Isaaco Newtono, Eq. Aurato. | Perpetuis Commentariis illustrata, com- muni studio \ PP. Thomae Le Seur & Francisci Jacquier. \ Ex Gallicana Minimorum Familia, Matheseos Professorum. \ Gene- vae, | Typis Barrillot & Filii Bibliop. & Typogr. | 1739 — 40 — 42. 3 vols. 4to. [13 Collation: Vol. I. Half-title, Title, 2 11. ; Rerum Mathematicarum Studio- sis, Philosophiae Newtonianae Interpretes (dated "Romae in Rcgio Conventu SS<* Trinitatis, An. 1739"), v — viii; Newton's Dedication to the Royal Society, ix; Prefaces to ist, 2nd, and third editions, Roger Cotes's Preface, and Halley's Verses, xi — xxxiv ; Index Capi- tum, Errata, xxxv — xxxvi + pp. i — 548. Vol. II. Half-title, Title, Dedication to the Royal Society by Le Seur and Jacquier, Monitum (dated from Rome, 1740), 4 11. + pp. i — 422 + Index Sectionum de motu corporum, Errata, i 1. Vol. III. Pars I. Title, Dedication to Cardinal Armando Gastoni de Rohan de Soubise, Monitum (dated 1742), PP. Le Seur et Jacquier Declaratio, Editoris monitum, 4 11. +pp. i — 374. Pars II. Title; Introductio ad Lunae Theoriam Newtonianam, v — viii -f pp. 375 — 677 + Index, pp. 678 — 703. In addition to the Principia, the following works are printed in Vol. III. : 1. Daniel Bernoulli, Traite sur le Flux et Reflux de la Mer, p. 133. 2. C. MacLaurin, De Causa Physica Fluxus et Refluxus Maris, p. 247. 3. L. Euler, Inquisitio Physica in causam Fluxus ac Refluxus Maris, p. 283. These three works gained the Prize given hy the Royal Academy of Sciences in 1724 for resolving the Problem relating to the Motion of the Tides from the theory of gravity. Philosophiae | Naturalis | Principia | Mathematica ; Auctore | Isaaco Newtono. Eq. Aurato ; | Perpetuis Commentariis illustrata, com- muni studio \ PP. Thomae Le Seur & Francisci Jacquier, | Ex Gallicana Minimorum Familia, Matheseos Professorum. \ Editio altera longe accuratior & emendatior. | Coloniae Allobrogum, | 12 BIBLIOGRAPHY OF NEWTON Sumptibus Cl. & Ant. Philibert Bibliop. | MDCCLX. | 3 vols. 4to. [14 Collation: Same as 1739 edition, except that in Vol. I. the preliminary matter ends with p. xxxii; pp. xxxiii — xxxvi of the 1739 edition (Halley's Verses, &c.) are omitted. Sir Isaac Newton's Principia reprinted for Sir William Thomson, LL.D.,* late Fellow of St. Peter's College, Cambridge, and Hugh Blackburn, M.A., late Fellow of Trinity College, Cam- bridge ; Professors of Natural Philosophy and Mathematics in the University of Glasgow. Glasgow, James Maclehose, Pub- lisher to the University. Printed by Robert Maclehose. MDCCCLXXI. 4to. [15 Collation : pp. xxxvi + 538. "Finding that all the editions of the Principia are now out of print, we have been induced to reprint Newton's last edition without note or comment, only intro- ducing the ' corrigenda ' of the old copy and correcting typographical errors. W. T. H. B." University of Glasgow, 1871. A reprint of the 1726 edition. The portrait was not reproduced : and the Royal Patent to W. and J. Innys not reprinted. Philosophiae Naturalis Principia Mathematica. Illustrata commen- tationibus potissimum Joannis Tessanek. Et (quibusdam in locis) commentationibus veterioribus clarissimorum T. Le Seur et F. Jacquier. Pragae, 1780 — 5. 2 vols. 4to. [16 Philosophiae Naturalis | Principia | Mathematica. | Auctore | Isaaco Newtono, Eq. Aurato. | Perpetuis commentariis illustrata, | com- muni studio | PP. Thomae Le Seur et Francisci Jacquier | ex Gallicana minimorum familia, | matheseos professorum. | Editio nova ; | summa cura recensita. | * Created Lord Kelvin. PRINCIPIA 13 Glasguae : | Ex prelo Academico, | Typis Andreae et Joannis M. Duncan. | Veneunt apud Lackington & Soc., R. Priestley, G. & W. B. Whittaker, | J. Cuthel, G. Cowie & Soc., J. Collingwood, Treuttel & Wiirtz, et | Treuttel, jun. & Richter, Londini ; | necnon Parisiis, et Argentorati | apud Treuttel & Wiirtz. | 1822. | 4 vols. Roy. 8vo. [17 Collation: Vol. I. Title; Lectori S. Typographi [Ex Aed. Acad. Glasg. Ipsis Nonis Junii, 1822], 2 11. ; Rerum Mathematicarum studiosis, philosophiae Newtonianae interpretes, pp. vii, viii ; Newton's Dedica- tion and Prefaces to first and second editions, ix — xii ; Cotes's Preface, xiii-~ xxvii; Author's Preface to third edition, and Halley's Verses, xxviii — xxx ; Index capitum voluminis primi, xxxi 4- pp. i — 423 + Index propositionum libri primi, 425 — 430. Vol. II. Title ; Le Seur and Jacquier's Dedication to the Royal Society ; Monitum, 1740; Index sectionum de motu corporum voluminis secundi & admonitio, 3 1L +pp. i — 316 -f- Index propositionum libri secundi, 317 — 320. Vol. III. Title ; Contenta partis primae tomi tertii j Le Seur and Jacquier's Dedication to Cardinal Rohan; Monitum, 1742; Le Seur and Jacquier's Declaratio; Editoris Monitum, 6 11. + Introductio ad ter- tium librum Philosophiae Naturalis Is. Newtoni, ix — xxi + pp. i — 341 + Index propositionum in voluminis III. part i, 343 — 4. Vol. IV. Title, half-title, 2 11. + Introductio ad Lunae Theoram New- tonianam, iii — vi -f- pp. i — 202 + Index propositionum in voluminis III. part 2, 203. Edited by John Martin Frederick Wright. Philosophiae Naturalis | Principia | Mathematica. | Auctore | Isaaco Newtono, Eq. Aur. | Perpetuis commentariis illustrata, | com- muni studio | PP. Thomae Le Seur et Francisci Jacquier, ex Gallicana minimorum familia, math, proff. | Editio nova, summa 14 BIBLIOGRAPHY OF NEWTON cura recensita. | Glasguae : | excudit Georgius Brookman ; Im- pensis T. T. et I. Tegg, Londini ; | et R. Griffin et soc. ; Glasguae. MDCCCXXXIII. 2 vols. Royal 8vo. [18 Collation : Vol. I. Title ; Lectori S. Typographic [Glasguae : Ipsis nonis Jul. 1833]; Newton's Dedication to the Royal Society, 3 11.; Rerum Mathematicarum studiosis, Philosophiae Newtonianae interpretes, vii, viii; Le Seur and Jacquier's Dedication to the Royal Society, ix; Auctoris praefatio ad lectorem, x — xii ; Auctoris praefatio ad Ed. secundam, xii ; Editoris praefatio in editionem secundam, xiii — xxvii ; Auctoris praefatio in Editionem tertiam, xxviii ; Halley's Verses, xxix, xxx ; Index Capitum voluminis primi, xxxi ; Index Sectionum de motu corporum, xxxii ; Admonitio, xxxii + pp. i — 740 -f Index proposi- tionum libri primi et secundi, pp. 741 — 752. Vol. II. Title, Dedication to Cardinal Rohan; Monitum; Le Seur and Jacquier's Declaratio ; Editoris monitum ; Contenta, 4 11. ; Intro- ductio ad tertium librum Philosophiae Naturalis Is. Newton, ix — xxxvi + pp. i — 202 -f Index propositionum, 203 — 205. In J. M. F. Wright's Commentary on Newton's Prindpia, Glasgow, 1833, the author speaks of * the flattering manner in which the Glasgow edition of Newton's Principia has been received, a second impression being already on the verge of publication.' John Martin Frederick Wright, of Trinity College, Cambridge, B. A. In addition to editing Newton's Principia, he wrote Alma Mater, or Seven Years at the University of Cambridge [1815 to 1821], by a Trinity Man, 2 vols., 1827; Solutions of the Cambridge Problems, 1800 to 1820, 2 vols., 1825 ; Self-Examination in Algebra, 1825 j Self-Examination in Euclid, 1829 ; The Private Tutor, 2 vols., 1830; Elementary Treatise of the Theory of Numbers (from the Private Tutor), 1831 ; Collection of Cambridge College Examination Papers, with Supple- ment, 4 vols., 1831 — 2 ; Hints and Answers, being a Key to the Cambridge College Exami- nation Papers, 1831; Commentary on Newton's Principia, 2 vols., 1833; and probably edited the collections of Cambridge Problems, 1801 — 20 and 1821—1836. De | Mundi | Systemate | liber | Isaaci Newtoni. | Opus diu integris suis partibus desideratum. | In Usum Juventutis Academicae. \ Londini : | Impensis J. Tonson, J. Osborn & T. Longman, | T. Ward & E. Wicksteed, & F. Gyles, j MDCCXXXI. 4to. [19 Collation : Title ; Newtoni Princip. Math. Lib. III. initio, pp. iii, iv + pp. i— 108. Sigs. A2B— O*P2. 2 Plates : Tab. I, II. PRINC1PIA 15 Augustus De Morgan in his Budget of Paradoxes (p. 83) says : * I greatly doubt that Newton wrote this book.' But a copy of the work in manuscript is in Trinity College Library, Cambridge, partly in the handwriting of Roger Cotes. "The title there given is ' De Motu Corporum Liber* and not ' De Mundi SystetnatcJ as in the printed book. This tract, drawn up ' methodo populari ut a pluribus legeretur,' was intended to form the third book of the Principia, but readers who have not mastered the principles, says the author, ' vim consequentiarum minime percipient, neque praejudicia deponent quibus a multis retro annis insueverunt,' and therefore 'ne res in disputationes trahatur, summam libri illius tran- stuli Propositiones, more Mathematico, ut ab iis solis legantur qui principia prius evolve- rint.'" — Edleston's Correspondence of Newton and Cotes, p. xcviii. The English translation of this work was printed first (in 1728, see No. 30) along with a Preface on the state of Astronomy. The second edition, which evidently appeared imme- diately after the Text had been printed, omitted this Preface, and in its place gave the extract from the Principia (in English) as printed in the Text and mentioned above, whilst the translation was added to to agree with the printed text. Abridgments and Portions of the "Principia" Excerpta quaedam | e Newtoni | Principiis Philosophiae Naturalis, \ cum notis variorum. | Cantabrigiae : | Typis Academicis excude- bat J. Bentham. j Veneunt apud T. & J. Merrill, et J. Nicholson, Cantabrigiae ; J. Fletcher et | D. Prince, Oxoniae ; B. Dod, J. Whiston & B. White, et J. Nourse, Londini ; | Tesseman, Ebor. ; Kincaid & Bell, Edinburgiae ; R. & A. Foulis, Glas- guiae ; | et Gul. Smith, Dublini. M.DCC.LXV. 4to. [20 Collation: Title, and List of Subscribers, x pp. + 180. 12 Plates : Tab. I. to XII. Edited by John Jebb, educated at Peterhouse, afterwards a Fellow of the College ; M.D. of St. Andrews University, d. 1786. Excerpta ex Principiis Naturalis Philosophiae, cum annotationibus Thomae Le Seur et Francisci Jacquier. Oxon. 1831. 8vo. [21 Contains Newton's Preface of May 8, 1686, and Roger Cotes's Preface. Principia. Book I. Sections I. II. III. in the original Latin, with explanatory notes and references. Edited by William Whewell, D.D., Master of Trinity College, &c. London : John W. Parker, West Strand. MD.CCC.XLVI. 8vo. [22 Pp. vii + 66. Printed from the text of the third edition of the Principia. These three sections were used as a text-book at Cambridge. Other editions, in English, were issued in 1821, 1826, etc. (see pp. 20, 21). 16 BIBLIOGRAPHY OF NEWTON Translations : English. The | Mathematical | Principles | of | Natural Philosophy. | By Sir Isaac Newton. \ Translated into English by Andrew Motte. | To which are added, | The Laws of the Moon's Motion, according | to Gravity. | By John Machin Astron. Prof. Gresh. and | Seer. R. Soc. | In Two Volumes. | London : | Printed for Benjamin Motte, at the Middle-\ Temple-Gate, in Fleetstreet. \ MDCCCXXIX. | 8vo. [23 Collation : Vol. I. Title + Dedication to Sir Hans Sloane, by Motte, 2 11. -f Translations of Newton's Preface to the first edition, and extracts from those to the second and third editions, and Cotes's Preface, 16 11. + pp. i — 320. Plate i p. 45, u 50, in 76, iv 80, v 86, vi 94, vii 100, vin no, ix 1 1 8, x 126, xi 132, xn 136, xm 143, XIV 154, XV 158, XVI l62, XVII 176, XVIII 198, XIX 206, XX 222, xxi 268, xxn 282, xxni 298, xxiv 308, xxv 320. Sigs. Title + A2, A, a, B--X8. Vol. II. Title + pp. i — 393 + Index, 6 11. + Appendix, pp. i — viii + [Machines Law of the Moon's Motion], pp. i — 71 + Errata (reverse of p. 71). Plate i p. 1 6, ii 44, in 54, iv 68, v 90, vi 120, vii 140, vm 172, ix 198, x 272, xi 278, xii 288, xin 296, xiv 320, xv 336, xvi 344, xvii 345, xvm 358, xix Appendix viii; 3 Plates (Figures i, 2, 3) at the end of the work, and 2 folding plates at pp. 352, 377. Sigs. Title + B— CC8, Dd3, a4, A— D8E4. Frontispiece to each volume and some head-pieces, ' A. Motte invenit & fecit.' A Large Paper copy is in the British Museum. Memoirs of Andrew Motte (the translator) and Benjamin Motte (the publisher) are in the Dictionary of National Biography. The | Mathematical Principles | of | Natural Philosophy. | By | Sir Isaac Newton. | Translated into English | by Andrew Motte. | To which are added, | Newton's System of the World ; \ A Short | Comment on, and Defence of, the Principia, | by W. Emerson. | With | The Laws of the Moon's Motion | According to Gravity. | By John Machin, | Astron., Prof, at Gresh., and Sec. to the Roy. PRINCIPIA 17 Soc. | A New Edition, | (with the Life of the Author ; and a Portrait, taken from the Bust in | the Royal Observatory at Greenwich) carefully revised and corrected by | W. Davis ; | Author of the " Treatise on Land Surveying," the " Use of the Globes," | Editor of the " Mathematical Companion," &c. &c. &c. | In Three Volumes. | London : | Printed for H. D. Symonds, No. 20, Pater- noster Row. | 1803. | Printed by Knight & Compton, Middle Street, Cloth Fair. | 8vo. [24 Collation: Vol. I. Portrait, J. Allen delin1., E. Scriven sculp4., [London, Published Nov. 10, 1802, by H. D. Symonds, Paternoster Row], Title; Dedication to the Rev. Nevil Maskelyne, Astronomer Royal, by Wm. Davis ; To the Reader by W. Davis, London, January, 1803 ; Andrew Motte's Dedication to Sir Hans Sloane, Bart, vii, viii ; New- ton's Preface to the first edition of the Prinripia, with extracts from those to the second and third editions, and extracts from Roger Cotes's Preface, ix — xxxij Life of Newton, xxxiii — Ix + i — 211+ Index, 4 pp. 25 Plates : Plate I — xxv., W. Newman sc., 27 Widcgate Street, Bishopsgate. Vol. II. Title + pp. 1—321 + Index, 10 pp. 19 Plates: Plate I — xix. i Table to face p. 278, and folding table to face p. 300. Vol. III. Title ; Contents (of the System of the World), iii— vi + System of the World, pp. i — 82 ; Emerson's Short Comment on the Principia, 83 — J75; Emerson's Defence of Newton, 177 — 192; Machin's Laws of the Moon's Motion, 193 — 231. Plates at pp. 4, 16, Plate i p. 95, ii 101, in 130, iv 162, v 174, and 2 at end of the volume. A memoir of William Davis is in the Dictionary of National Biography. New Edition. London : | Printed for Sherwood, Neely, and Jones, Paternoster- 1 Row ; and Davis and Dickson, St. Martin's Le Grand. | 1819. | Printed by J. Compton, Middle Street, Cloth Fair, London. | 3 vols. 8vo. [25 1 8 BIBLIOGRAPHY OF NEWTON Collation as in 1803 edition, except that the plates in Vol. III. are to be found at pp. 4, 16, i 95, n 101, in 130, iv 164, v 174, with the 2 at the end of the volume. The plates and tables in this edition are all printed to fold three times in the work. The Mathematical Principles of Natural Philosophy by Sir Isaac Newton ; Translated into English by Andrew Motte. To which is added, Newton's System of the World ; with a Portrait taken from the Bust in the Royal Observatory, Greenwich. First American Edition, carefully revised and corrected, with a Life of the Author, by N. W. Chittenden, M.A., &c. New York : Published by Daniel Adee, 107 Fulton-street, 1848. 8vo. pp. 581 [26 — - Another Edition. New York : G. P. Putnam, 1850. 8vo. [27 Collation : Title ; Dedication * To the Teachers of the Normal School of the State of New York, pp. 3, 4; Introduction to the American Edition, v — vii; Life of Newton, 9 — 61 ; The Principia, Ixv— 507; System of the World, 509—572; Contents, 573 — 581. Portrait of Newton in 1848 edition, 'printed by Wm, Worts'; in 1850 edition, 'New York, Daniel Adee, 1848,' 'printed by Wm. Worts.' Mathematical | Principles | of | Natural Philosophy. By Sir Isaac Newton, Knight. | Translated into English, | and illustrated with | a Commentary, | by Robert Thorpe, M.A. | Volume the the first. London : Printed for W. Strahan and T. Cadell, in the Strand. MDCCLXXVII. 4to. [28 Collation : Title ; Dedication to the Duke of Northumberland ; Adver- tisement, 2 pp. ; List of Subscribers' names, 6 pp. ; Introduction by the Editor (Thorp), xv — xxxii ; Newton's three prefaces, Cotes's pre- face, and Halley's verses, xxxiii — Ix + i — 360 + Index and Errata, i If. Plates i— xxn. Only the first volume was printed. PRINCIPIA 19 Natural Philosophy. Second Edition. London : Printed by A. Strahan, Printers-street, for T. Cadell, jun., and W. Davies, in the Strand, 1802. 4to. [29 Re-issue with new title ; and without the Dedication and List of Subscribers' Names. A | Treatise | of the | System | of the | World. | By | Sir Isaac Newton. | Translated into English. | London : | Printed for F. Fayram at the South En-| trance under the Royal Exchange \ M DCC XXVIII. | 8vo. [30 Collation: Title; Preface (Extract from the Principia, Book III., con- cerning this work, ' and a short account of Astronomy, and the state it was in when Newton wrote'), iii — xxiv + pp. i — 154 -|- Errata, i If. Plates at pp. 6, 29. This ' Preface ' was not reprinted in the second or third editions. — The Second Edition, wherein are interspersed some Alterations and Improvements. London : Printed for F. Fayram, at the South Entrance under the Royal Exchange. M DCC XXXI. 8vo. [31 Collation: Half-title; Title; * From Sir Isaac Newton's Mathematical Principles, Lib. III. Introd.' v, vi; Contents, 9 pp. -f pp. i — 152. Plates at pp. 6, 29. " We have in this Edition added, in the Margin, References to the English Translation of the Principia lately published, directing to the several Pages in that Translation, where the Things here treated of are proved : And that the Asterisk in the Margin is designed to show how far the Discourse in the Principia is the same with what is found in this Treatise." —Note on Half-title. The substitution of the extract from the Principia, in place of the long Preface in the first edition, brought the work to conform to the text which was first printed earlier in the same year (see No. 19), whilst additions were made to the translation so as to make the matter agree with the printed text. This points to the fact that the translation was made from a manuscript which slightly varied from the one used in the printing. — The Third Edition. London : Printed for B. Motte and C. Bathurst, at the Middle Temple-Gate, in Fleet-street. MDCCXXXVII. 8vo. [32 20 BIBLIOGRAPHY OF NEWTON This was a re-issue of the previous edition, with a cancel title-page clearly shown in the copy examined. This translation [by Andrew Motte?] of the 'System of the World,1 was reprinted with Motte's translation of the Principle, edited by William Davis, 1803 (see Nos. 24 and 25). Although the translation was printed in 1728, the text was not printed until 1731 (see No. 19). Principia. Book I. Sections I. II. III., with copious notes and illus- trations, and a great variety of deductions and problems. By the Rev. John Carr, M.A., Late Fellow of Trinity College, Cam- bridge. 6 plates (84 figures). London [printed by Francis Humble & Co., Durham], 1821. Second Edition, improved and enlarged. 6 plates. Cambridge [printed by Francis Humble, of Durham], 1826. 8vo. [33 The work consists of : I. Newton's text entire (in English). II. General Introduction to the three Sections, comprising a concise account, with examples, of the Methods of Exhaustions and Indivisibles, and the doctrine of Limits. III. Notes explanatory of Newton's text. IV. Collection of Miscellaneous Problems, with Solutions. Principia [Book I. Sections I. II. III.], with notes, examples, and deductions : containing all that is read at the University of Cambridge. By J. M. F. Wright, B.A. Cambridge, 1830. Roy. 8vo. [34 Plates i. to v. engraved by Josh Neele, 352 Strand. The translation of the text is immediately followed by Notes, Examples, and Deduc- tions. An Appendix gives a number of Problems selected from Examination Papers. Principia. Book I. Sections I. II. III., with an appendix; and the IXth and Xlth Sections. Edited by John H. Evans, M.A., Fellow of St. John's College. Cambridge, 1 834. Second Edition, 1837. Third Edition, 1843. Fourth Edition, 1855. 8vo. Fifth Edition, edited by P. T. Main, M. A., Fellow of St. John's College, Cambridge. 1871. Fcap. 8vo. [35 The Appendix gives 'the few Propositions of the Vllth and VHIth Sections now generally read in the University.' PRINCIPIA 21 Only Sections I. II. III. were edited in the 1834 edition, IX. and XI. being added to the Second Edition. For the Fifth Edition, Mr. Main says in his preface that the first three sections of the Principia^ together with the chapters headed ' Definitiones ' and ' Axiomata, sive Leges Motus ' [added to this edition] have been translated from the Latin edition of Le Seur and Jacquier. And a collection of Examples from University and College Examination Papers has been added. Principia. Book I. Sections I. II. III., and part of the Vllth Sec- tion, with a preface recommending a geometrical course of mathematical reading, and an Introduction on the Atomic Con- stitution of Matter, and the Laws of Motion. By George Leigh Cooke, B.D., Sedleian Reader in Natural Philosophy, and formerly Fellow and Tutor of Corpus Christi College, in the University of Oxford. Oxford, 1850. 8vo. [36 Principia. Book I. Sections I. II. III., with notes and illustrations. Also A Collection of Problems principally intended as examples of Newton's methods. By Percival Frost, M.A., Late Fellow of St. John's College, Cambridge. Cambridge, 1854. Cr. 8vo. Second Edition, 1863. 8vo. Fifth Edition, 1900. [37 Translation: French. Principes mathdmatiques de la philosophic naturelle. Par feue Madame la Marquise du Chastelet. 2 volumes. 1759. 4to. [38 Gabrielle Emilie de Tonnelier de Breteuil, Marquise du Chastelet, was a pupil of Clairaut, under whose supervision she translated the Principia, forming the first part of the above, from the 1726 edition. The second part consists of commentary extracted from Clairaut. Translation: German. Sir Isaac Newton's mathematische Principien der Naturlehre. Mit Bemerkungen und Erlauterungen herausgegeben von J. Ph. Wolfers. 1872. 8vo. [39 22 BIBLIOGRAPHY OF NEWTON Illustrations. Abbatt, Richard. A short Introduction to the Principia ; or, the first step in physical astronomy. 1868. 8vo. [40 Addison. Defence of the Newtonian Philosophy. In Fontenelle's Plurality of Worlds, translated by Wm. Gardiner. 1757. [41 An Oration spoken in the Theatre at Oxford, 7 July, 1693 [see Brewster's Newton, 1855 I- 334]- Ball, W. W. Rouse. An essay on Newton's Principia. 1893. Cr. 8vo. [42 I. Introductory. II. Investigations in 1666. III. Investigations in 1679. IV. Inves- tigations in 1684. V. Preparation of the Principia, 1685—1687. VI. Analysis of the Principia. VII. Investigations from 1687 — 1726. VIII. Appendices [Correspondence between Hooke and Newton, 1678—1680; Halley and Newton, 1686—1687, &c.]. Con- tains a reprint of the tract Proposition** De Motu from the MS. in the archives of the Royal Society. — A Newtonian fragment, relating to Centripetal Forces. 1892. (Proceedings of London Math. Society.) [43 Banieres, Jean. Examen et refutation des Elemens de la philosophic de Newton de M. de Voltaire. 1739. 8vo. [44 Baumann, J. J. Die Lehren von Raum, Zeit, und Mathematik in der neueren Philosophic . . . Suarez . . . Newton. 1868. 8vo. [45 Bentley, Richard. Correspondence [edited by Christopher Words- worth]. 2 vols. 1842. 8vo. [46 250 printed. Contains letters of Bentley, Newton, and Cotes about the second and third editions of the Principia. Betti, Enrico. Teorica delle forze che agiscono secondo la legge di Newton, &c. 1865. 8vo. [47 Boscovich, R. J. De Solis et Lunae defectibus libri V., versibus pertractati, Astronomiae Synopsis et Theoria Luminis New- toniana. Venetiis, 1761. 8vo. [48 Boys, C. V. On the Newtonian Constant of Gravitation. Transac- tions of the Royal Society (Vol. 186). 1895. [49 PRINCIPIA 13 Bremond, P. L'Uraniade . . . Scenes dialogues, au sujet des hypo- theses Newtoniennes, &c. 1844. 8vo. [50 Bresher, M. R. The Newtonian System of Philosophy, &c. 1868. 8vo. [51 Brinkley, John (Bishop of Cloyne). On Sir Isaac Newton's first solution of the problem for finding the relation between resist- ance and gravity, &c. 1808. 4to. [52 Brougham, Henry, Lord. Tracts mathematical and physical. 1860. Cr. 8vo. [53 Contains two chapters reprinted from Brougham and Routh's Newton's Principia [XI. Central Forces — and Law of the Universe analytically investigated. XII. Attraction of Bodies, of spherical and non-spherical Surfaces analytically treated.] and Brougham's Address delivered on the opening of the Newton monument at Grantham, Sept. 21, 1858. Brougham, Henry, Lord, and E. J. Routh. Analytical View of the Principia. 1855. 8vo. [54 Campbell, A. (Midshipman of the ' Wager '). A Chain of Philosophi- cal Reasoning . . . wherein will be explained some passages, com- monly mistaken, in Sir I. Newton's Principia Math. &c. 1754. 8vo. [55 Carpenter, W. Sir I. Newton's Theoretical Astronomy examined and exposed, &c. [1870.] 8vo. [56 Carruthers, G. T. Letter to the Astronomer Royal explaining a new theory of the Solar System, and placing Newton's theories on a physical basis. 1875. 8vo. [57 — Attempt to prove Newton's law of attraction for a resisting medium. 1881. 8vo. [58 Castel, L. B. Le vrai syst^me general de Newton expose* et analyse* en parallele avec celui de Descartes ; a la portee du commun des Physiciens. pp. 520. 3 plates. 1743. 4to. [59 Challis, James. On Newton's ' Regula Tertia Philosophandi ' [Philo- sophical Mag. Jan.] 1880. [60 24 BIBLIOGRAPHY OF NEWTON Chapman, L. L. Chapman's Principia . . . exposing the numerous discrepancies of the . . . (erroneously so-called) Newtonian theory of gravitation alone, without repulsion. 1855, &c. 8vo. [61 Clarke, John. A demonstration of some of the principal sections of Sir I. Newton's principles of Natural Philosophy. 1730. [62 Construction d'un Telescope par Reflexion, de Mr. Newton. Amster- dam & Leipzig, 1756. i2mo. [63 Cowley, J. L. Discourse on Comets . . . extracted from the work of Sir I. Newton, &c. 1757. 8vo. [64 D***, 1'Abbe". Reflexions sur la physique moderne, ou la philo- sophic Newtonienne compared avec celle de Descartes, &c. Paris, 1751, & 1757. 8vo. [65 [Denison, J.] Commentaries on the Principia of Sir I. Newton, respecting his theory that the forces of the gravitation of the planets are inversely as the square of their mean distances from the sun ... By the Author of ' A New Theory of Gravitation/ 1846. 8vo. [66 Desaguliers, J. T. The Newtonian System of the World, the best model of government, an allegorical poem, &c. 1728. 4to. [67 Dieterich, C. Kant und Newton. Tubingen, 1876. 8vo. [68 Ditton, Humphrey. General Treatise on the Laws of Nature and Motion, with their Application to Mechanics ; also the Doctrine of Centripetal Forces and Velocities of Bodies, describing any of the Conick Sections, being a part of the great Mr. Newton's principles. 1705. 8vo. [69 Domcke, Geo. Peter. Philosophiae Mathematicae Newtonianae Illustratae tomi duo. Plates. London, 1730. 8vo. [70 Easy and Pleasant Introduction to Sir I. Newton's Philosophy. With an Essay on the Advancement of Learning, by J. Ryland. Plates. Second Edition, 1772. I2mo. [71 PRINCIP1A 25 Emerson, Wm. A Short Comment on Sir I. Newton's Principia, containing notes upon some difficult places of that excellent book. 1770. 8vo. [72 Also printed with Motte's translation of the Principia, 1803. This volume contains also A Defence of Newton against the objections made against several parts of the Principia, Concerning the Optics, Defence of the Chronology, &c. Examination of the Newtonian Argument for the Emptiness of Space, and the Resistance of subtile Fluids. 1740. 8vo. [73 Feller, F. X. de. Observations philosophiques sur le Systeme de Newton, le Mouvement de la Terre et la Pluralite des Mondes. 1771. [74 Ferguson, James. Astronomy explained upon Newton's principles, and made easy to those who have not studied mathematics. 1756. 4to. [75 2nd Edition, 1757. 4to. 5th Edn., 1772; 6th, 1778. New Edn., 1773, 1785, 1803. Edited with notes and Supplementary Chapters by David Brewster, 1811. 2 vols. 8vo. Second Edition. 1821. 2 vols. 8vo. Finlayson, J. The Universe as it is, and the detection and refutation of Sir I. Newton, &c. 1830. 8vo. Other editions 1832 and 1835. 8vo. [76 Gamaches, Etienne Simon de. Astronomic physique, ou principes gdneraux de la nature appliques au mecanisme astronomique et compares aux Principes de la philosophic de M. Newton. 1740. 4to. [77 Gering, J. Schediasma de philosophia Newtoniana. [1715?] 4to. [78 Glaisher, J. W. L. The Bi-centenary of Newton's Principia. An Address delivered in Trinity College Chapel, iQth April, 1888. [Cambridge Chronicle, 2oth April, 1888.] [79 Gordon, George. Remarks upon the Newtonian Philosophy ; wherein it is proved to be false and absurd. 1719. I2mo. [80 26 BIBLIOGRAPHY OF NEWTON 's Gravesande, W. Ja. Philosophiae Newtonianae Institutiones in usus Academicos. Plates. Lugd. Bat, 1723. I2mo. [81 — Physices elementa Mathematica, expertmentis confirmata. Sive Introductio ad Philosophiam Newtonianam. Plates. Lugd. Bat., 1720—1. 2 vols. 4to. [82 Third Edition. Leide, 1742. Translation: Mathematical elements of natural philosophy, confirmed by experiments ; or an Introduction to Sir I. Newton's Philosophy. Translated by J. T. Desaguliers. 32 plates. 1720. 2 vols. 8vo. [83 Second Edition, one volume, 1721. 8vo. 4th Edn., 1731, 2 vols. 1726. 8vo. 6th Edn., 1747. 2 vols. 4to. French translation: traduit du Latin par Elie de Joncourt. Leide, 1746. 2 vols. 4to. [84 Greene, R. Principles of the Philosophy of the Expansive and Con- tractive Forces. Cambridge, 1727. [85 Mentions the well-known anecdote of Newton and the Apple, on the authority of Martin Folkes. Gregg, T. D. The Cosmology of Sir I. Newton proved to be in accordance with the Bible. [1871.] 8vo. [86 Gregory, David. Astronomiae physicae et geometricae elementa. Oxon., 1702. Folio. [87 — Elements of Astronomy, physical and geometrical, translated. With Dr. Halley's Synopsis of the Astronomy of Comets. 2 vols. 1715. Second Edition. 2 vols. 1726. [88 Gregory, James. Printed a Thesis at Edinburgh in 1690, containing twenty-five positions, of which twenty-two were a compend of Newton's Principia. (Brewster's Newton, 1855, I- 335-) [89 I have not found a copy of this work. Charles Hutton, in his Philosophical and Mathe- matical Dictionary, 1815 (I. 605), said he had a copy of the Thesis, but I do not find it in his own manuscript catalogue of his library which I possess. PRINCIPIA 27 Gregory, Jas. Craufurd. Notice concerning an autograph MS. by Sir I. Newton, containing some notes upon the Third Book of the Principia, found among the papers of Dr. David Gregory. (Transactions of Royal Society of Edinburgh, 2 March, 1829). Edinburgh, 1831. 4to. [90 Groning, J. Historia Cycloeidis . . . Accedunt C. Hugenij annotata posthuma in I. Newtoni Philosophiae Naturalis Principia Mathe- matica. [1701.] 8vo. [91 Gronau, J. F. W. Ueber die Bewegung schwingender Korper im widerstehenden Mittel, mit Rucksicht auf die Newton'sche Pen- delversuche. Danzig, 1850. 8vo. [92 Halley, Edmund. Review of the Principia, in the Philosophical Transactions of the Royal Society of London (No. 168). Vol. XVI. p. 291. 1687. [93 Hartsoeker, Nich. Recueil de plusieurs Pieces de Physique, ou Ton fait principalement voir rinvalidite" du Systeme de M. Newton. Utrecht, 1722. I2mo. [94 [Hastie, C. N.] The Newtonian and Herschelian versus the Harring- tonian theory of the Universe . . . By Sol Obscuratus. Ryde, 1866. 8vo. [95 Heine, E. Das Newton'sche Gesetz. Halle, 1864. i6mo. [96 Henrici, J. Die Erforschung der Schwere durch Galilei, Huygens, Newton als rationellen Kinematik u. Dynamik historisch-didak- tisch dargestellt Heidelberg, 1885. 8vo. [97 Hermann, — . (Pastor zu Berendshagen). Kritik Newton'scher Astro- nomic. Rostock, 1870. I2mo. [98 Home, Geo. (Bishop of Norwich). A fair, candid, and impartial state of the case between Sir I. Newton and Mr. Hutchinson. In which it is shown how far a system of Physics is capable of mathematical demonstration, &c. Oxford, 1753. 2nd edit, 1799. 8vo. [99 28 BIBLIOGRAPHY OF NEWTON Huber, J. (Missionar). Newton und das von ihm entdeckte Gesetz der Schwere. Ein popularer Vortrage gehalten im Stadt-Casino zu Basel den 18 Dec. 1861. 1862. 8vo. [100 Huygens, Christian. See Groning. Jadelot, 1'Abbe. M6chanisme de la Nature ; ou Systeme du Monde, fonde sur les Forces de Feu ; precede d'un Examen du Systeme de Newton. 1787. 8vo. [101 Keill, John. Introductio ad Veram Physicam, seu lectiones physicae habitae in schola naturalis philosophiae Acad. Oxoniensis, 1700. 1701. 8vo. [102 Second Edition, with additions, 1705; Third Edition, 1715. 8vo. Introduction to Natural Philosophy. 1720. 8vo. [103 Third Edition, 1733. Koch, G. F. Newton und das Gesetz der Schwere. Diirkheim, 1872. [104 La Caille, N. Louis de. Legons elementaires d' Astronomic ge"o- metrique et physique. 1748. 8vo. [105 — Elements of Astronomy, deduced from Observations, and demon- strated upon the Mathematical Principle of the Newtonian Phi- losophy. Translated by John Robertson. 1750. 8vo. [106 Littrow, J. J. von. Geschichte der Entdeckung der allgemeinen Gravitation durch Newton. 1735. 8vo. [107 Loomis, W. I. The American and the Englishman ; or Sir W. I. Loomis, versus Sir I. Newton, etc. (containing Exceptions and . . . , observations to Newton's .... theory of gravity). 1871. 8vo. [108 Ludlam, Wm. Essay on Sir Isaac Newton's second Law of Motion. 1780. 8vo. [and in his Mathematical Essays, 1787]. [109 PRINCIPIA 29 Macdonald, J. A. (of Priory Place, Dorchester). The Principia and the Bible : a critique and an argument, &c. pp. xi + 226. 1861. 8vo. [no Maxwell, J. (Bishop of Ross, &c.). A Discourse concerning God, &c. 1715. I2mo. [in Containing translation of Newton's General Scholium at the end of the second edition of his Principia concerning the Cartesian Vortices, and concerning God. MacLaurin, Colin. An Account of Sir Isaac Newton's Philosophical Discoveries. Published by P. Murdoch. Plates. 1748. 4to. [112 Second Edition, 1750. 8vo. Third Edition, 1775. 8vo. — Exposition des decouvertes philosophiques de Newton. Traduite [avec un Memoire de MacLaurin] par Lavirotte. 1749. 4to. Martin, Benjamin. Plain and familiar Introduction to the Newtonian Experimental Philosophy, 1751. 5th Edition, 1765. 8vo. [114 — Philosophia Britannica ; or, a complete system of the Newtonian philosophy. 3 vols. Reading, 1747. 8vo. [115 — Panegyrics of the Newtonian Philosophy, 1754. [116 — New and comprehensive system of Mathematical Institutions, agreeable to the present state of the Newtonian Mathesis. 3 vols. 1764. 8vo. [117 [Martine, George.] Examination of the Newtonian argument for the Emptiness of Space, and of the resistance of subtle fluids. 1740. 8vo. [118 Mayer, Tobias. Theoria Lunae juxta systema Newtonianum. 1767. [119 Mayer's widow in 1770 received the reward of ^"3000 from the Board of Longitude for these tables. Mead, J. An Essay on Currents at Sea ; by which it appears . . . that this Earth is not of a uniform density, according to the supposition of Sir I. Newton, &c. 1757. 8vo. [120 30 BIBLIOGRAPHY OF NEWTON [Monboddo, Lord.] Ancient Metaphysics, containing an Examina- tion of Sir I. Newton's Philosophy. 1779. 4to. [121 Moreau de Maupertuis, P. L. Discours sur les differentes Figures des Astres. Avec une exposition abbrege'e des systemes de Descartes et de Newton. 1732. 8vo. [122 Miiller, Gerhard A. Schreiben . . . von der Ursache . . . der Elec- tricitat, als ein Anhang . . . von Newton's allgemeiner Schwehre, &c. 1746. 4to. [123 Neumann, Carl (of Halle). Ueber die Principien der Galilei-New- ton'schen Theorie. Akademische Antrittsvorlesung gehalten am 3 Nov. 1869. 1870. 8vo. [124 — Allgemeine Untersuchungen iiber das Newton'sche Princip der Fernwirkungen. 1876. [125 Newton, Thos. An Illustration of Sir I. Newton's Method of Rea- soning by prime and ultimate Ratios, comprehending the first section of his Principia, and as much of the second and third as is necessary to explain the Motions of the heavenly Bodies. Leeds, 1805. 8vo. [126 Newtonian System of Philosophy, familiarly explained. By Tom Telescope. 1812. I2mo. [127 Paciaudi, P. M. Intorno a' Principi Newtoniani. [In Miscellanea di varie operette, 8 vols. Venezia, 1740 — 4.] [128 Parkes, W. Newton refuted ; a geographical, nautical, mechanical, and mathematical view of the Universe. 1804. 8vo. [129 Paulian, A. H. Dictionnaire de Physique portatif, dans lequel on expose les decouvertes les plus interessantes de Newton, &c. 1760. I2mo. [130 — Trait£ de paix entre Descartes et Newton, &c. 1763. I2mo. [131 PRINCIPIA 31 Pemberton, Henry. A View of Sir Isaac Newton's Philosophy. 1728. 4to. [132 German Translation : Anfangsgriinde der Newtonischen Philo- sophic. 1793. 8vo. [133 French Translation : Elemens de la Philosophic Newtonienne. Traduit de 1'Anglois. Amsterdam & Leipzig. 1755. 8vo. [134 Pino, Domenico. Esame del Newtoniano sistema intorno al moto della terra. 3 vols. Como, 1802. 8vo. [135 Poincare, H. Thdorie du Potentiel Newtonien, Legons . . . redigees par E. Leroy et G. Vincent. 1899. 8vo. [136 P[owell], E[yre]. B. Mathematical Outline of Newton's Theory of Gravitation, as founded upon Kepler's Planetary Laws. Madras : J. B. Pharoah, [1844]. 8vo. [137 Prelezioni sui principj matematici della filosofia naturale del Cavalier Isaaco Newton. Per uso delV Universitrf Interna del Real Con- mtto del Salvatore. Plates. 2 vols. Napoli [l presso Giuseppe Maria Porcelli, II presso Giuseppe di Bisogno], 1792, 1793. [138 Rigaud, S. P. Historical Essay on the first publication of Sir I. Newton's Principia. Oxon., 1838. 8vo. [139 Contains Newton's propositiones de motu, printed for the first time from the MS. in the possession of the Royal Society ; early notices of Fluxions from Newton's MS. ; Letters to and from Halley, Aston ; Letters of Aubrey, Hook, and Oldenburg ; the three versions of Halley's Verses prefixed to the Principia ; the first communication of the Principia to the Royal Society ; Halley's review of the Principia ; memoranda of Dr. David Gregory, &c. Robertson, Abram. Elements of Conic Sections deduced from the Cone; an Introduction to the Newtonian Philosophy. 1818. 8vo. Second Edition, 1825. 8vo. [140 Robinson, Christopher. View of Sir Isaac Newton's Method for com- paring the Resistance of Solids. 1734. 8vo. [141 32 BIBLIOGRAPHY OF NEWTON Rohault, Jacques. Physica ; Latine vertit, recensuit, et adnotationi- bus ex Isaaci Newtoni philosophia maximam pattern haustis amplificavit et ornavit Samuel Clarke. 1702. 8vo. [142 — System of Natural Philosophy, illustrated with Dr. Samuel Clarke's notes taken mostly from Sir I. Newton. Translated by John Clarke. 1735. 2 vols. 8vo. [143 Rosenberger, F. Newton und seine physikalischen Principien. Leip. 1895. [144 Roubaix, J. de. A physical dissertation concerning the cause of the variation of the barometer . . . wherein the mistakes in Sir I. Newton's system are rectify 'd. 1721. 8vo. [145 Sarmento, Jacob de Castro. Theorica verdadeira das mares conforme a philosophia do Cav. I. Newton ; a que se ajunta huma relagam de vida deste philosopho, e a demonstragam de que a Lua se retem no seu orbe pela forga de gravidade. Londres, 1737. 4to. [146 Saunderson, Nicholas. Method of Fluxions, containing an explana- tion of the principal Proposition of Sir I. Newton's Philosophy. 1756. 8vo. [147 Sch[echner], X[aver]. Neue Beweise dass die Erde sich nicht nach Newton's Gravitationsgesetz um die Sonne bewegen kann, &c. 1869. 8vo. [148 Scott, John. The Holy Scripture doctrine of the ... Trinity . . . Wherein is ... shewn that . . . the Newtonian Philosophy ... is materially . . . false, &c. 1754. I2mo. [149 Sigorgne, 1'abbe* Pierre. Institutions Newtoniennes. 2 vols. Paris, 1747. 8vo. Second Edition, 1769. 8vo. [150 Snell, Karl. Newton und die mechanische Naturwissenschaft. Zu Newton's Gedachtniss im 2 Sacularjahre seiner Geburt. Dresden, 1843. 8vo. [151 PRINCIPIA 33 Stevenson, Richard. Newton's Lunar Theory exhibited analytically, Cambridge, 1834. 8vo. [i52 Theology and Philosophy in Cicero's Somnium Scipionis explained ; or a brief attempt to demonstrate that the Newtonian System is perfectly agreeable to the notions of the wisest ancients, &c. 1751. 8vo. [153 Todhunter, Isaac. On the Proposition 38 of the Third Book of the Principia. [Monthly Notices of the Royal Astronomical Society, 12 April], 1872. [154 Voltaire. Jildmens de la philosophic de Neuton. 1738. 8vo. [155 — lile'mens de la philosophic de Neuton. Nouvelle edition. A Londres, 1738. 8vo. [156 With a portrait of Newton, 'Grave d'apres la medaille Ic.' P. Dupin sculpsit. And a portrait of Voltaire. — English Translation : Elements of Sir Isaac Newton's Philosophy. Translated, revised, and corrected by John Hanna. Plates. 1738. 8vo. [157 See also Banieres, Jean. No. 44. — Rdponse a toutes les Objections principales qu'on a faites en France centre la Philosophic de Newton. Amsterdam, 1739. 8vo. [158 — The Metaphysics of Newton, &c. 1747. 8vo. [159 Vortisch, L. C. H. Das Mangelhafte der Newton'schen Gravitations- Theorie zur Erklarung der Bewegungen und anderer Erschei- nungen im Sonnensystem, &c. Rostock, 1866. 8vo. [160 Whewell, Wm. Newton and Flamsteed. Remarks on an Article in No. 109 of the Quarterly Review. 1836. 8vo. [161 Another Edition. To which are added Two Letters, occa- sioned by a note in No. 1 10 of the Review. 1836. 8vo. [162 34 BIBLIOGRAPHY OF NEWTON Whewell, Wm. On the Free Motion of Points, and on Universal Gravitation, including the principal propositions of Books I. and II. of the Principia. 1832. 8vo. [163 — The Doctrine of Limits, with its applications ; namely, Conic Sections, the first three sections of Newton, the Differential Cal- culus. 1857. 8vo. [164 — Introduction to Dynamics, containing the Laws of Motion and and Sections I. — III. of the Principia. 1832. 8vo. [165 Whiston, W. Praelectiones Astronomiae Cantabrigiae habitae. Can- tab., 1707. 8vo. [166 — Praelectiones physico-mathematicae Cantab, in Publ. Schol. habitae. Quibus Philosophia Newtoni Mathematica explicatius traditur, & facilius demonstrate, &c. Cantabrigiae, 1710. 8vo. [167 — Sir Isaac Newton's mathematick philosophy more easily demon- strated, with Dr. Halley's account of Comets illustrated. 1716. 8vo. [168 — Sir Isaac Newton's Corollaries from his philosophy and Chrono- logy; in his own words. 1727. 4to and 8vo. [169 Wordsworth, Christopher (Bp. of Lincoln). The Newtonian System : its analogy to Christianity. A Sermon preached at Colsterworth on St. James's Day, 1877. i6mo. [170 Wright, J. M. F. A Commentary on Newton's Principia. With a Supplementary Volume. 1828. 2 vols. Roy. 8vo. [171 W[right], R. An Humble Address to the Commissioners appointed to judge of all performances relating to the Longitude; wherein it is demonstrated from Mr. Flamsteed's Observations, that by Sir I. Newton's theory of the Moon, as it is now freed from some PRINCIPIA. OPTICS 35 errors of the press, the longitude may be found by land and sea, either night or day, when the moon is visible, and in proper weather, within very few miles of certainty. 1728. 4to. [172 Young, Robert. Examination of the third and fourth definitions of the first book of the Principia, and of the three Axioms or Laws of Motion. 1787. 4to. [173 III. OPTICS Opticks: | or, a | Treatise | of the | Reflexions, Refractions, | In- flexions, and Colours | of | Light. | Also | Two Treatises | of the | Species and Magnitude | of | Curvilinear Figures. | London, | Printed for Sam. Smith, and Benj. Walford, | Printers to the Royal Society, at the Prince's Arms in | St. Paul's Church- yard. MDCCIV. | 4to. [174 Collation : Title and Advertisement, 2 11. + Book I. of Optics, pp. [i] — [144] + Books II. and III., pp. [i]— [137] + i blank : + Title : Enumeratio Linearum Tertii Ordinis [138] + i blank -f [139] — [162] : Tractatus de Quadratura Curvarum, [163] — [211] -\- i If. of Errata. Sigs. Title and Advertisement, 2 11, and A — S, Aa, Bb, Dd — Ss4 -f- i If. inserted between Tt i and 2 -f Tt— Ddd4, Eee2, 19 Plates: Book I. part i, plates i — v after p. 80 j Book I. part 2, plates i — iv after p. 144; Book II. plates i, n after p. 48 ; Book III. plate i after p. 137 ; Enu- meratio, plates i — vi after p. 162 ; Tractatus, plate i after p. 211. Title-page printed in red and black. It will be noticed that Newton did not attach his name to the work, only the initials * I. N.' at the end of the Advertisement. The Two Treatises added to this edition are : 1. Enumeratio Linearum Tertii Ordinis. 2. Tractatus de Quadratura Curvarum. Newton says in the Advertisement : ' Part of the ensuing Discourse about Light was written at the desire of some gentlemen of the Royal Society, in the year 1675 • • • and read at their meetings, and the rest was added about Twelve Years after to complete the Theory ; except the Third Book and the last Proposition of the Second, which were since put together out of scattered Papers. To avoid being engaged in Disputes about these Matters, I have 36 BIBLIOGRAPHY OF NEWTON hitherto delayed the Printing, and should still have delayed it, had not the importunity of Friends prevailed upon me ... In a Letter written to Mr Leibnitz in the year 1676, and published by Dr Wallis, I mentioned a Method by which I had found some general Theorems about squaring Curvi- linear Figures . . . And some years ago I lent out a Manuscript containing such Theorems, and having since met with some Things copied out of it, I have on this occasion made it Publick . . . And I have joined with it another small Tract concerning the Curvilinear Figures of the Second Kind, which was also written many years ago, and made known to some Friends, who have solicited the making it publick.' Opticks : | or, a | Treatise | of the Reflections, Refractions, \ Inflections and Colours \ of | Light. | The Second Edition, with Additions. \ By Sir Isaac Newton, Knt. | London : | Printed by W. Bowyer for W. Innys at the | Prince's Arms in St. Paul's Church- Yard. 1717. | 8vo. [175 Collation: Title, Advertisement [to First Edition, dated April i, 1704], Advertisement II. [dated July 16, 1717], Corrigenda, 4 11. + pp. [i] — [382] + Catalogue of Books printed for and sold by Will. Innys, at the Prince's- Arms in St. Paul's Church-yard, i 1. Sigs. A4B— Bb8. 12 plates, newly engraved to suit the size of the work : Book I. part i, Tab. i — v, after p. 98; Book I. part 2, Tab. i — iv, after p. 166; Book II. Tab. i and n, after p. 290 ; Book III. Tab. i, after p. 382. ' In this Second Edition ... I have omitted the Mathematical Tracts published at the End of the former Edition, as not belonging to the subject. And at the End of the Third Book I have added some Questions,' &c. — Newton's Advertisement II. Opticks : | or, a | treatise | of the | Reflections, Refractions, \ Inflections and Colours \ of | Light. | The Second Edition, with Additions. \ By Sir Isaac Newton, Knt. | London : | Printed for W. and J. Innys, Printers to the | Royal Society, at the Prince' s- Arms in St. Paul's | Church- Yard. 1718. | 8vo. [176 Collation : As in 1717 issue. In addition to a new title-page, the first two pages of the Advertisement to the first edition have been re-imposed, slight alterations having been made in this re-issue. Opticks : | or, a | treatise of the | Reflections, Refractions, \ Inflections and Colours \ of | Light. | The Third Edition, Corrected. \ By Sir OPTICS 37 Isaac Newton, Knt. | London : j Printed for William and John Innys at the | West End of St. Paul's. 1721. | 8vo. [177 Collation: Title-page, Advertisement I. and II., Errata, 4 11. + pp. [i] — [382] + Books printed for William and John Innys, i If. Sigs. A4B — Bb8. 12 plates, re-engraved: Lib. I. par i, Tab. i — v, after p. 98; Lib. I. par 2, Tab. i — iv, after p. 168 : Lib. II. Tab. i & n, after p. 198 ; Lib. IIL Tab. i, p. a64(?). No new Advertisement to this edition, Advertisement 7. has been altered to the original wording of the first edition of 1704. Opticks : | or, a | Treatise | of the | Reflections, Refractions, \ Inflections and Colours \ of | Light. | The Fourth Edition, corrected. \ By Sir Isaac Newton, Knt. | London : | Printed for William Innys at the West-|End of St. Paul's. MDCCXXX. | 8vo. [178 Collation: Title-page, Advertisement I. and II., Advertisement to the Fourth Edition, 4 pp. + pp. [i]— 382 + i blank leaf. Sigs. A4B— Bb8. 12 plates as in third edition. ' This new edition is carefully printed from the Third Edition, as it was corrected by the Author's own Hand, and left before his Death with the Bookseller. Since Sir Isaac's Lectiones Opticae, which he publicly read in the University of Cambridge in the years 1669, 1670, and 1671, are lately printed, it has been thought proper to make at the bottom of the Pages several Citations from thence, where may be found the Demonstrations, which the author omitted in these Opticks.' — Advertisement. Translations : Optice : | sive de | Reflexionibus, Refractionibus, | Inflexionibus & Coloribus | Lucis | Libri Tres. | Authore Isaaco Newton, Equite Aurato. | Latine reddidit Samuel Clarke, A.M. | Reverendo ad- modum Patri ac Dno Joanni | Moore Episcopo Norvicensi a | Sacris Domesticis. | Accedunt Tractatus duo ejusdem Authoris | de Speciebus & Magnitudine Figurarum | Curvilinearum, latine scripti. | Londini : | Impensis Sam. Smith & Benj. Walford, Regiae 38 BIBLIOGRAPHY OF NEWTON Societatis | Typograph. ad Insignia Principis in Coemeterio D. Pauli. | MDCCVI. | 4to. [179 Collation: Title; Prefatio Interpretis [S. C.]; Author is Monitio ad Lec- torem ; Errata, Corrigenda, & Addenda, 7 11. + pp. i — 348 : Enume- ratio Linearum Tertii Ordinis, Title -+• pp. i — 24 : Tractatus de Quad- ratura Curvarum, Title + pp. i — 43. Sigs. A4, b4 (i blank), A — Oo4, PPS Qq— X*S Yy1, Aaa— Ttt2. Plates : Lib. I. Tab. i, n at p. 90 ; Lib. I. Par 2, Tab. i— iv at p. 158 ; Lib. II. Tab. i, n, p. 206 ; Lib. III. Tab. i, p. 346 ; Curvarum Tab. i — vi ; Quadr. Tab. I. The single leaf (pp. 297 — 8), forming all of signature Pp, is singular. The last line of p. 296 is * & quorum partes quidem ne in Fumos abeant, facti (sic) non' whilst the first line of p. 297 is ' & quorum partes quidem ne in Fumos abeant, facit non.' ' In hac Latina Editione, relecto Libro, quaedam immutavi, praesertim perspicuitatis gratia ; & non nulla Addidi, quae maximam partem in his Corrigendis & Addendis habentur. Et Quaerendorum insuper numerum in fine Libri adauxi. I. N.' ' At the request of Newton, Dr. Samuel Clarke prepared a Latin edition of his Optics, which appeared in 1706, and he was generously presented by Sir Isaac with ^500, or ^100 for each of his five children, as a token of the appreciation and gratitude of the author. Demoivre is said to have secured and taken charge of this translation, and to have spared neither time nor trouble in the task. Newton met him every evening at a coftee-house, and when they had finished their work he took Demoivre home with him to spend the evening in philosophical conversation.' — (Brewster's Newton, 1855, I. 248.) Optice : | sive de | Reflexionibus, Refractionibus, \ Inflexionibus & Co- loribus | Lucis, | Libri Tres. | Authore Isaaco Newton, Equite Aurato. | Latine reddidit Samuel Clarke, S.T.P. | Editio Secunda, auctior. \ Londini : | Impensis Gul. & Joh. Innys Regiae Societa- tis Ty-|pographorum ad Insignia Principis in Area Occidental! | D. Pauli. | MDCCXIX. | 8vo. [180 Londini: Ex officina Gulielmi Bowyer Typographi, Kalend. Septemb. MDCCXVIII. — printed on p. 415. Collation: Half-title; Title; Praefatio Interpretis [S. Clarke], i — vi; Authoris Monitio Prior ad Lectorem [I. N. Aprilis imo, 1704] vii — ix ; Authoris Monitio Altera ad Lectorem [I. N. Julii i6ro, 1717] x, xi; OPTICS 39 Errata [xi]-|-pp. i — 415 + 1 p. 'Catalogus Librorum prostantium apud Gul. & Job. Innys.' Sigs. 4 11. -f a4, B — Gg4. Plates : Lib. I. Par i, Tab. i to v at p. 106, Lib. I. Par 2, Tab. I to iv at p. 182, Lib. II. Tab. i and n at p. 316, Lib. III. Tab. i at p. 414. A Large Paper edition was also issued. 4to. [181 As in the second edition of the Optics in English (1717) the two Tracts are not reprinted. Optice : sive de Reflexionibus, Refractionibus, Inflexionibus et Co- loribus Lucis, Libri Tres. Auctore Isaaco Newton, Equite Aurato. Latme reddidit Samuel Clarke, S.T.P. Editio Novis- sima. Lausannae & Genevae, Sumpt. Marci-Michaelis Bousquet & Sociorum. MDCCXL. 4to. [182 Collation: Portrait; Title; Dedication to John Bernoulli, by M. M. Bousquet, i April, 1740, i — VH; Praefatio Interprets, vm — xi; Authoris Monitio Prior, et Altera, ad Lectorem, xn — xv ; Bibliopola Lectori S. xv, xvi ; Synopsis librorum, definitionum, axiomatum, pro- positionum, experimentorum, observationum & quaestionum, xvn — xxxn + pp. i — 363 (pp. 331 — 363, Index) + i (Errata). With 12 plates. The Portrait — 'Daudet Sculp. Lugd.' — has this inscription, 'Isaacus Newton Eques Anno Aetat. 84. An. Chr. 1726. Apud Marcum-Michaelem Bousquet et Socios MDCCXL.' Large Initial Letters and head-pieces drawn by Papillon. Optice . . . libri tres: accedunt ejusdem Lectiones Opticae et opus- cula omnia ad lucem et colores pertinentia. Interprete S. Clarke. With Plates. Graecii. 4to. [183 At the end is the sanction for printing granted by the Officers of the Inquisition, dated 1747. Optice . . . libri tres : accedunt ejusdem Lectiones Opticae, et opuscula omnia ad lucem et colores pertinentia, sumpta ex Transactionibus Philosophicis. Patavii, 1749. 4to. [184 Editio Altera. Patavii, 1773. 4to. [185 40 BIBLIOGRAPHY OF NEWTON Trait^ d'Optique. Traduite par Pierre Coste, sur la seconde Edition Angloise. 2 vols. 1720. I2mo. [186 — Seconde Edition franchise beaucoup plus correct que la premiere. Paris, 1722. 4to. [187 Optique, traduction nouvelle faite par M*** [J. P. Marat], sur la derniere Edition originale, ornee de 21 planches. 2 vols. Paris, 1787. 8vo. [188 Dedicated to the King by M. Beaugee, 'editeur de cet ouvrage,' etc. Sir I. Newton's Optik. Uebersetzt und herausgegeben von Wm Abendroth. Portrait. 1898. [189 Ostwald's 'Klassiker der exakten Wissenschaften.' 2 parts. Optical Lectures: Optical | Lectures | Read in the | Publick Schools | of the | University of Cambridge, | Anno Domini, 1669. | By the late Sir Isaac Newton, \ Then Lucasian Professor of the Mathematicks. | Never before Printed. | Translated into English out of the Original Latin. \ London : | Printed for Francis Fayram, at the | South Entrance of the Royal Exchange. \ M. DCC. XXVIII. | 8vo. [190 Collation: Title; Preface [by the translator], dated London, June 29, 1727, pp. iii — xi; Errata i p. + Opticks, pp. i — 212. Sigs. A6, B — O8, P2. 13 plates, numbered consecutively i to 13. Section I. The Refrangibility of Rays is different ; II. Of the measure of Refractions ; III. Of the Refractions of Planes ; IV. Of the Refractions of Curve Surfaces. ' It was as long ago as the year 1666, when Sir Isaac Newton first found out his Theory of Light and Colours. Upon Dr Barrow's resigning to him the Professorship of Mathe- maticks at Cambridge, he made A. 1669, this Discovery the Subject of his publick Lectures, in that University. In 1671 he began to communicate it to the world. . . . About the same time he intended to publish his Optical Lectures, wherein these Matters were handled more fully ; together with a Treatise of Series and Fluxions. But the Disputes, which were occasioned, by what he had already suffered to come abroad, deterred him from the Design OPTICS &> OPTICAL LECTURES 41 ... his Friends could not prevail upon him to print his Book of Opticks until the year 1704. . . . The present Treatise is a faithful Translation of a very correct Copy, taken from the Latin Original, as it was read in 1669 . . . and at the Bottom of the Pages we have added here and there some very short Remarks ... we hope shortly to present the Publick with several Mathematical Pieces, that were long ago written by our great Author, though never yet printed.' — Preface. Isaac! Newtoni, Eq. Aur. \ in | Academia Cantabrigiensi | Matheseos olim Professoris Lucasiani Lectiones Opticae, | Annis MDCLXIX, MDCLXX, & MDCLXXI. | In Scholis publicis habitae ; | et nunc primum ex MSS. in lucem editae. | Londini | Apud Guil. Innys, Regiae Societatis Typographum. | MDCCXXIX. | 4*0. [191 Collation: pp. xii -|- 291 + Addenda & Corrigenda, 5 pp. 24 plates: Tab. i to 13 to part i, and Tab. i — n to part 2. * The MS. from which the Latin edition was printed was that which had been given by Newton himself to David Gregory, but after the edition had been printed the editor learned that a more perfect manuscript, containing several notes and emendations by Newton, had been presented to the University of Cambridge. These emendations were therefore printed at the end, and Bp. Horsley has included them.' — Brewster's Newton. [Printed with the Optice 1747, 1749, 1773, «* Nos. 183 — 5.] Illustrations : Airy, Sir G. B. On a remarkable modification of Newton's Rings. 1831. 4to. [192 — On the Phenomena of Newton's Rings which formed between two transparent substances of different refractive powers. Plate. 1832. 410. [193 Algarotti, Count. II Newtonianismo per le dame, ovvero dialoghi sopra la luce, e i colori. Napoli, 1737. 4*°- [194 Aso editions 1738, 1739, 1746. 8vo. — Theory of Light and Colours, translated from the Italian [by Mrs. Elizabeth Carter]. 2 vols. 1739. I2mo. [195 Also editions 1742, 1745- I2mo. — Le Newtonianisme pour les dames. Traduit par Duperron de Castera. 2 vols. 1738. [196 42 BIBLIOGRAPHY OF NEWTON Algarotti, Count. Philosophy of Sir Isaac Newton explained, in six dialogues on Light and Colours [translated by Mrs. Elizabeth Carter]. Glasgow, 1752. I2mo. [197 Amoretti, C. and F. Soave. Seguito d' obbiezioni alia teoria del Sig. Newton intorno a' color! ed alia formazione dello spetro solare [In Opuscoli scelte sulle scienze, etc. Tom. XIV.] 1778. [198 Baehr, J. C. Vortrage iiber Newton's und Gothe's Farberilehre. Dresden, 1863. 8vo. [199 Bourgeois, C. G. A. Examen des bases des doctrines de Newton . . . sur la Lumiere et les Couleurs. [In Memoire sur les Couleurs de 1'Iris, etc.] 1813. 8vo. [200 Cominale, C. Anti-Newtonianismi pars prima in qua Newtoni de coloribus systema ex propriis principiis geometrice evertitur, etc. 1754. 8vo. [201 [Courtivron, G.] Traite d'Optique ou Ton donne la theorie de la lumiere dans le systeme Newtonien. 1752. 4to. [202 Dolland, P. Some account of the Discovery . . . which led to the grand improvement of Refracting Telescopes . . . with an attempt to account for the mistake in an experiment made by Sir I. Newton, &c. 1789. 4to. [203 Eberhard, J. P. J. P. E d's . . . Versuch einer naheren Erklarung von der Natur der Farben, zur Erlauterung der Farbentheorie des Newton. 1762. 8vo. [204 Emerson, Wm. Concerning Newton's Optics [in his Short comment on the Principia]. 1770. [205 Fusinieri, A. Ricerche meccaniche e diottriche sopra la causa della rifrazione della luce, ove si dimostra che coll' attrazione intro- dotta da Newton non si puo render ragione di questo fenomeno, etc. 1797. 8vo. [206 OPTICS 43 Gautier d'Agoty, Jacques. Chroa-g£ne*sie ou generation des couleurs centre le systeme de Newton. 1749. I2mo. [207 xpoayeveais de optice errores Isaaci Newtonis demon- strans, etc. Londini, 1750. 8vo. [208 — Nouveau systeme de 1'univers, sous le titre de Chroa-ge'ne'sie ou critique des pretendues decouvertes de Newton. [With a Sup- plement] 3 parts in 2 vols. 1750 — i. I2mo. [209 Goethe. Farbenlehre; Optik, etc. [criticised by Helmholtz in his Popular Lectures on Scientific Subjects, 1873 : on Goethe's Scientific Researches.] [210 Gonnella, Tito. Opuscoli Matematici (i) di alcuni perfezionamenti del telescopio Newtoniano, etc. Firenze, 1841. 4to. [211 Graevell, F. Charakteristik der Newton'schen Farbentheorie. 1858. 8vo. [212 — Goethe im Recht gegen Newton. 1857. 8vo. [213 — Ueber Licht und Farben mit . . . Beziehung auf die Farbenlehren Newton's und Goethe's, etc. 1859. 8vo. [214 Gregory, Dr. James. Elements of Catoptrics and Dioptrics, trans- lated by Wm. Browne. The Second Edition, to which is added, An Appendix by J. T. Desaguliers, containing an Account of the Reflecting Telescopes ; and of the Inventors, Improvers, and Imitators of them, till they were brought to perfection by John Hadley. With original Letters which passed between Newton and Gregory relating thereto, now first published. 1735. 8vo. [215 The first edition did not contain the Letters between Gregory and Newton. Griffith, G. On the Formation of a Pure Spectrum by Newton. British Association Report, 1885. [216 44 BIBLIOGRAPHY OF NEWTON Herschel, Sir J. F. W. On a certain remarkable instance of deviation from Newton's Scale in the Tints developed by Crystals, with one axis of Double Refraction, on exposure to Polarised Light. 1820. 4to. [217 Herschel, Wm. New Observations concerning the colours of thin transparent bodies, shewing these phenomena to be inflections of light, and that the Newtonian fits of easy transmission and reflection have no existence. 1800. 8vo. [218 [Jordan, C. W.] Observations of Newton concerning the inflexions of light accompanied by other observations differing from his, and appearing to lead to a change in his theory of Light and Colours. 1799. 8vo. [219 [Lardner, Dionysius.] Account of Newton's Optics, pp. 69. Library of Useful Knowledge, 1829 — 30. 8vo. [220 Leprince, H. S. Nouvelle chroagenesie, ou refutation du traite d'Optique de Newton. ire partie. 1819. 8vo. [221 Lovett, R. The Reviewers Reviewed : being a Reply to the anim- adversions of the Monthly Review on a late pamphlet, " Sir Isaac Newton's ^Ether realized." 1760. 8vo. [222 Lucinus, Paul. Opticae juxta Newtonianas leges latinis versibus expositae. Parmae, Bodoni, 1793. 8vo. [223 Mollweide, C. B. Demonstrationem novam propositionis, quae theoriae colorum Newtoni fundamenti loco est, exhibet C. B. M. Lipsiae, Nov. 2, 1811. 4to. [224 Pfaff, C. H. Ueber Newton's Farbentheorie, etc. 1813. 8vo. [225 Reade, Joseph. Critical Remarks on Sir Isaac Newton's opinions on Colours, etc., in Experimental Outlines for a new Theory of Colours, Light, and Vision. Dublin, 1816. 8vo. [226 OPTICS 45 Robinson, Bryan. Dissertation on the ^Ether of Sir I. Newton. Dublin, 1743. 8vo. With Appendix, Dec. I, 1746. 1747. 8vo. [227 Rfobinson], B[ryan]. Sir Isaac Newton's account of the ^ther. with some Additions by way of Appendix. Dublin, 1745. 8vo. [228 Sowerby, James. A new elucidation of colours, original, prismatic, and material; shewing their concordance in three primitives, yellow, red, and blue; and the means of producing, measuring, and mixing them ; with observations on the accuracy of Sir I. Newton. 1809. 4to. [229 Wangerin, A. De Annulis Newtonianis. Dissertatio Inauguralis, etc. [1866.] 8vo. ]230 Papers by Sir Isaac Newton, printed in the Philosophical Transac- tions of the Royal Society of London. [23 1 Vol. VI. (i) Theory of Light and Colours. Vol. VII. (2) A Series of Queries, to be determined by experiments, positively and directly con- cluding his new theory of light and colours, 1672. (3) Account of a new catadioptrical telescope. (4) Farther suggestions about his reflecting telescope, together with his tables of apertures and charges for the several lengths of that instrument. (5) Answer to some objections made by an ingenious French philosoper (Ignatius Pardies) to the new reflecting telescope, 1672. (6) Some considerations upon part of a letter of M. de Berce concerning the catadioptrical telescope pretended to be improved and refined by M. Cassegrain. (7) Experiments pro- posed in relation to Mr. Newton's theory of light, with observations. (8) Answer to M. Pardies' letter on Newton's theory of light [printed in the same vol.] 1672. (9) Answer to Mr. Pardies' second letter [in same vol.] 1672. (10) Answer to some considerations on Newton's doctrine of light and colours. Vol. VIII. (u) Answer, further ex- plaining the theory of light and colours. (12) Hopes of perfecting BIBLIOGRAPHY OF NEWTON telescopes by reflections rather than refractions. (13) On the number of colours. Vol. IX. (14) Answer to M. Francis Linus's letter anim- adverting on the theory of light and colours [printed in same vol.]. Vol. X. (15) Considerations on M. Linus's reply. (16) Another letter to the same argument. Vol. XI. (17) A particular answer to M. Linus's letter. (18) Answer to Mr. [Anthony] Lucas' letter of exceptions to the theory of light and colours. Vol. XLII. Descrip- tion of an instrument for observing the moon's distance from the fixed stars at sea. IV. FLUXIONS The | Method of Fluxions | and Infinite Series ; | with its | Applica- tion to the Geometry of Curve-Lines. | By the Inventor | Sir Isaac Newton, K> | Late Prefident of the Royal Society. | Tran- Jlated from the Author's Latin Original | not yet made publick. | To which is fubjoin'd, | A Perpetual Comment upon the whole Work, | confifting of | Annotations, Illustrations, and Supple- ments, | In order to make this Treatife | A compleat Inftitution for the ufe of Learners. | By John Colson, M.A. and F.R.S. | Mailer of Sir Jofeph Williamforis free Mathematical-School at Rochester. \ London : | Printed by Henry Woodfall ; | And Sold by John Nourse, at the Lamb, without Temple-Bar. MDCCXXXVI. 4to. [232 Collation: Title and Dedication to William Jones, Esq., F.R.S., pp. i — iv, Preface ix — xxiii, Contents xxiv + i — 140, Title-page to the Com- mentary -f Contents [143], [144] + Z43 — 339. + J blank + Errata i If. (on reverse ; Advertisement of the British Hemisphere lately pub- lish'd by the Author). Sigs. Az, a, b, B— T4 (T)1 [inserted after 3rd If. of T], U — Uu4Xx2 -f i If. One plate opposite title-page. FLUXIONS 47 Fluxions. A Large Paper Edition was also printed on thick paper. 4to. [233 * I gladly embraced the opportunity that was put into my hands, of publishing this post- humous Work, because I found it had been composed with that view and design. And that my own Countrymen might first enjoy the benefit of this publication, I resolved upon giving it in an English Translation, with some additional Remarks of my own. The learned Dr. Pemberton . . . had once a design of publishing the Work, with the consent and under the inspection of the Author himself . . . But since the Author's Death, as the Doctor informs us, prevented the execution of that design, and since he has not thought fit to resume it hitherto, it became needful that this publication should be undertaken by another, tho' a much inferior hand.' — Cohorts Preface. Colson's Commentary consists of Annotations on the Introduction, and on the First and Second Problems. A | Treatise | of the | Method of Fluxions | and | Infinite Series, | With its Application to the Geometry | of Curve Lines. | By Sir Isaac Newton, Kt. | Tranflated from the Latin Original not yet | pub- lished. Defigned by the Author for the Ufe of Learners. Hac via infiftendum est. \ London : | Printed for T. Woodman at Cam- den's Head in New Round Court in the Strand ; and J. Millan next to | Will's Coffee Houfe at the Entrance into Scotland- Yard. \ MDCCXXXVII. | 8vo. [234 Collation: Title, Preface pp. iii — xiv, Contents 2 pp. + (i) — (8), 9 — 180, •+- Errata i p. Sigs. A, a, B — Ab4 (the last If. blank). 4 folding tables, i at p. 137, 3 at p. 138. ' We have reason to believe that what is here delivered, is wrought up to that Perfection in which Sir Isaac himself had once intended to give it to the Publick. The ingenious Dr. Pemberton has acquainted us that he had once prevailed upon him to complete his Design and let it come abroad. But as Sir Isaac's Death unhappily put a stop to that Undertaking, I shall esteem it none of the least Advantages of the present Pub- lication, if it may prove a means of exciting that Honourable Gentleman, who is possessed of his Papers, to think of communicating them to some able Hand ; that so the Piece may at last come out perfect and entire. ' — Preface. The Preface contains 'a short View of the Body of the Work.' These editions are translations by two different persons from copies of the same manu- script. It is worth noting that the translator of the 1737 work does not mention Colson's edition, which had been issued only a very short time previous to his. BIBLIOGRAPHY OF NEWTON To show that the difference only lies in the mode of expressing the work in English, I give the first paragraph of the work from both editions printed side by side : 1736 Having observed that most of our modern Geometricians, neglecting the Synthetical Method of the Ancients, have apply'd themselves chiefly to the cultivating of the Analytical Art ; by the assistance of which they have been able to overcome so many and so great difficulties, that they seem to have ex- hausted all the Speculations of Geo- metry, excepting the Quadrature of Curves, and some other matters of a like nature, not yet intirely discuss'd : I thought it not amiss, for the sake of young Students in this Science, to com- pose the following Treatise, in which I have endeavour'd to enlarge the Boun- daries of Analyticks, and to improve the Doctrine of Curve-lines. 1737 Having observ'd that most of our modern Geometricians neglecting the synthetical Method of the Ancients, have applied themselves chiefly to the analytical Art, and by the Help of it have overcome so many and so great Difficulties, that all the Speculations of Geometry seem to be exhausted, except the Quadrature of Curves, and some other things of a like Nature which are not yet brought to Perfection. To this end I thought it not amiss, for the sake of young Students in this Science, to draw up the following Treatise : wherein I have endeavoured to enlarge the Boundaries of Analyticks, and to make some Improvements in the Doctrine of Curve Lines. Treatise of the Method of Fluxions and Infinite Series, with its application to the Geometry of Curve Lines. Translated. Lon- don, 1738. 8vo. [235 Translation : La Mdthode des Fluxions et des suites infinies par M. le Chevalier Newton. A Paris, chez De Bure 1'aine, Libraire, Quay des Augustins, a Saint Paul, 1/40. 4to. [236 Collation : Title ; Preface, iii — xxx ; Errata, i If. ; Privilege du Roy, i If. ; La Mdthode, i — 148. Sigs. a, e, i, d in 4's + i If. + A — S in 4*3, T in 2. "Extrait des Registres de 1' Academic Royale des Sciences, du 23 Decembre, 1738: Messieurs Maupertuis & Clairaut qui avoient etc nommes pour examiner la Traduction d'un Traite Anglois de M. Newton sur la Methode des Fluxions, par M. du Buffon, en ayant fait leur rapport, la Compagnie a juge que cet excellent Ouvrage meritoit un Traducteur aussi intelligent ; en foi de qui j'ai signe le present Certificat. A Paris ce 21. Mai. 1740. Fonte- nelle, Sec. Perp. de 1'Ac. Roy. des Sc." From this ' Extrait ' it will be seen that this translation was done by George Louis Le Clerc, Count de Buffon. FLUXIONS. COMMERCIUM EPIS7OLICUM 49 Illtistrations : Commercium | Epistolicum | D. Johannis Collins, \ et aliorum | de | Analysi promota : | jussu | Societatis Regise | In lucem editum. | Londini : | Typis Pearsonianis, Anno MDCCXII. | 4to. Collation: Title, Ad Lectorem, 2 11. + pp. (i) — (122) + Errata sic Corri- gantur, i If. Sigs. A— Gg2, Hh4. I have met with two varying copies of this work, which I call Edition A and Edition B. The variations are as follows : Edition A : [237 page 34, the catchword at the bottom of the page is 'nitu.' page 35, lines first and second are : ( 35 ) ' rei est : quinam sint illi numeri, quorum Tabulam tile exhibit in infi- infinitum continuandam,' &c. Edition B: [238 page 34, the catchword is corrected to 'rei.' page 35, the first line has been corrected and re-set : ( 35 ) ' rei est : quinam sint illi numeri, quorum Tabulam ille exhibit in infinitum continuandam,' &c. During the printing many cancels appear to have been made, and these are plainly shown by the reprinted pages having a guard left ; these guards show conclusively by the wire-marks to which pages they belong. They are pp. 43 and 44, 71 and 72, 99 and 100, 101 and 102. Commercium | Epistolicum | D. Johannis Collins, \ et aliorum, | de | Analysi Promota, | Jussu Societatis Regiae in lucem editum : | et jam | Una cum ejusdem Recensione prsemissa, & judi-|cio pri- marii, ut ferebatur, Mathematici | subjuncto, iterum impressum. | Londini : Ex officina J. Tonson et J. Watts. MDCCXXII. 8vo. [239 Collation: Title, Ad Lectorem, 4 11. -fpp. [i]— [250] -f Errata, i If. (on the reverse of which is a list of Books ' Lately Published, neatly Printed in Twelves'}. Sigs. A4, B — Q8, R4, S*. Pages 145 to 176 are wrongly paged, repeating the paging from 129 to 160, and p. 190 is printed [109]. 4 50 BIBLIOGRAPHY OF NEWTON Commercium Epistolicum. Another issue: Title-page the same, with different imprint : Londini : | Ex Officina & impenfis J. Tonson, & J. Watts, | proftant venales apud Jacobum Mack-Euen, | Bib- liopolam Edinburgensem. MDCCXXII. | 8vo. [240 Collation : same as previous edition. Commercium | Epistolicum | de | Varia Re Mathematica, inter | Cele- berrimos praefentis feculi Mathematicos. | viz. | Ifaacum Newtonum Equitum Auratum. | Dnum Isaacum Barrow. II Dnum J. Collinium. Dnum Jacobum Gregorium. Dnum Gulielmum Leibnitium. | I)num Johannem Wallisium. Dnum Henricum Oldenbourgum. | Dnum j Keillium. Dnum Franciscum Slusium. | et alios. | Juffu Societatis Regiae in lucem editum. | Et jam | Una cum Recenfione praemiffa infignis Contro-|verfiae inter Leibnitium & Keillium de primo | Inventore Methodi Fluxionum ; & Judicio | primarii, ut ferebatur, Mathematics sub-|juncto, iterum impreffum. | Londini : | Impenfis J. Tonson & J. Watts, Proftant venales apud y. Mac\Euen ad Infigne Georgii Buchanani e regione templi Sancti | dementis in vico vulgo dicto the Strand. 1725. | 8vo. [241 Collation: Same as the 1722 edition, with a new title-page as given. In the copy examined the guard of the title-sheet is plainly seen. See note to next entry. — Another edition. 1725. [242 Title-page and collation as the other earlier edition of the same year. The guard of the new title-sheet is plainly seen. But the difference between this (B) edition and the previous one (A) is that the third leaf of ' Ad Lector«m ' has been reprinted, and a sentence altered. The sentence in Edition A is * Qua de Questionibus Philosophicis disputata sunt D. Des Maizeaux* a D. Leibnitio <5r» aliis accepit 6° in lucem edidit* with the note ' * Vide Epistolas D. Leibnitii ad D. Des Maizeaux 21 Aug. 1716, & D. Des Maizeaux ad Abbatem de Comitibus 21 Aug. 1718, in Collectionum Tomo secundo, pag. 356, & 362 impressas.' fLUXIONS. COMMERCIUM EPISTOLICUM 51 In Edition B this sentence with the note is left out, and the following inserted in its place : ' Qua de Questionibus Philosophies disputata sunt D. Des Maizeaux collegit <5r» in lucem edidit.' The printers in reprinting this leaf were careful to use the same wood block at the end of the Ad Lectorem, so that a casual glance does not notice the change. Messrs. Biot and Lefort, in their edition of the Commercium Epistolicum, quote the 1725 edition, and give the following note concerning it (p. ix) : ' Ce titre, porte par un assez grand nombre d'exemplaires de la 2e edition du Commercium Epistolicum, est un carton, en style de typographic. Dans les exemplaires qui portent ce titre, il est facile de reconnaitre que : i° le feuillet de tete est colle sur la page qui contient VAd lectorem ; 2° la vergeure du papier n'est pas la meme pour le titre et pour le corps de 1'ouvrage. ' The editors might have also proved that the two editions they knew (Nos. 239 and 241) were the same, except for the title-page — the errors in the paging, the list of books ' Lately Published' are identical in these editions. But the editors did not know that there was more than one issue of each of the 1722 and 1721; editions. They certainly did not know of the Edition B of the 1725 edition, or they would have noted the variation in the Ad Lectorem in their work. The existence of these various issues I believe to be now known for the first time. Commercium Epistolicum J. Collins et aliorum de analysi promota, etc., ou correspondance de J. Collins et d'autres savants celebres du xvir siecle, relative a 1'analyse superieure, reimprimee sur 1'edition originale de 1712 avec 1'indication des variantes de 1'edition de 1722, comple"tee par une collection de pieces justifi- catives et de documents ; et publiee par J. B. Biot, et F. Lefort. Paris, Mallet-Bachelier, gendre et successeur de Bachelier, etc., 1856. 4to. [243 Collation: pp. xvi + (293) + i page of Errata. Contents : Title, Advertisement (by the Editors) i — viii ; Table des matieres, ix— xvi ; the Commercium Epistolicum, 1712, with the additions and alterations of the 1722 edition, and notes by the Editors, (i)— (190) ; Pieces justificatives et documents : I. Supplement au Commercium Epistolicum, (191) — (251). II. Sommaire des principaux travaux mathematiques qui, au xviie siecle, ont prepare 1'invention de 1'analyse infinitesimale, (253)— 281) : Cavalieri. Geometric des indivisibles. Descartes. Methode des Tangentes, deduite de la theorie des racines egales et de la methode des coefficients indetermines. Fermat. Methode des maxima et minima, et application a la recherche des Tangents. Hudde. Theorie des racines e'gales, methode des maxima et minima, et application & la determination des Tangentes. 52 BIBLIOGRAPHY OF NEWTON Ricci. Methode des maxima et minima, et application a la determination des Tangentes. Barrow. Methode des Tangentes, deduite de la consideration du triangle forme par un arc infiniment petit de la courbe et par les ordonnees de ses extremites. Sluze. Determination des Tangentes et des points d'inflexion. Regie generate pour la determination des Tangentes. Conclusion: Caractere des publications du Commercium Epistolicum faites en 1712 et in 1722. Discussion de Favis des Commissaires nommes par la Societe Royale, (283) — (293). Errata. Contains printer's facsimiles of the title-pages of the editions of 1712, 1722, and 1725. Account of the Commercium Epistolicum, &c., published by order of the Royal Society, concerning the dispute between Leibnitz and Keill, about the right to the invention of the method of fluxions, by some called the differential method. [Transactions of the Royal Society of London.] 1/14. [244 Allegret. Melanges scientifiques et litteraires. Pascal, Viete, Newton & Leibnitz, Liberte du Calcul. Clermont-Ferrand, 1868. 8vo. [245 iii. Newton et Leibnitz (leurs droits respectifs a 1'invention du Calcul infinitesimal). Cotes, Roger. De Methodo differentiali Newtoniana. In Cotes's Opera miscellanea, printed with his Harmonia Mensurarum, 1722. [246 De Morgan, A. On a point connected with the dispute between Keill and Leibnitz about the Invention of Fluxions. 1846. 4to. [247 — Some Account of Recent Discoveries in England and Germany relating to the controversy on the Invention of Fluxions. [Com- panion to the British Almanack.] 1852. [248 — On the Authorship of the 'Account of the Commercium Epis- tolicum' [Philosophical Magazine, June,] 1852. [249 — On the Early History of Infinitesimals in England. [Philosophical Magazine, November,] 1852. [250 FLUXIONS 53 Ditton, Humphrey. An Institution of Fluxions : containing the first principles, the operations, with some of the uses and applications of that method, according to Sir Is. Newton. 1706. 8vo. Second Edition, revised by J. Clarke, 1726. 8vo. [251 Durdik, Jos. Leibnitz und Newton. Ein Versuch liber die Ursachen der Welt auf Grundlage der positiven Ergebnisse der Philosophic und Naturforschung. Halle, 1869. 8vo. [252 Elementi delle Matematiche . . . aggiuntavi 1'invenzione, e la spie- gazione delle Permutazioni, e del Binomia e Infmitinomio di Newton, etc. 1744. 8vo. [253 Gerhardt, G. J. Die Entdeckung der Differenzialrechnung durch Leibnitz. Halle, 1848. [254 — Die Entdeckung der hohern Analysis. Halle, 1855. [255 Hodgson, James. The Doctrine of Fluxions, founded on Sir Isaac Newton's method, published by himself in his tract upon the Quadrature of Curves, 1736. 1758. 4to. [256 Keill, J. Response . . . aux Auteurs des Remarques sur la difference entre M. de Leibnitz et M. Newton. 1713. 8vo. [257 — Epistola ad Joannem Bernoullium in qua Isaacum Newtonum et seipsum contra criminationes in Actis Lipsiensibus a Crusio quodarn publicatas defendit. London, 1720. 4to. [258 Leibnitii, G. Guil., et Johan. Bernoulli! Commercium Philosophicum et Mathematicum, 1694 — 1716. With Portrait of Leibnitz and plates. 2 vols. Lausannae et Genevae, 1745. 4to. [259 Leibnitzens mathematischeSchriften,herausgegebenvonG. J. Gerhardt. 5 vols. 1849—59. [260 Containing letters concerning the invention of Fluxions. Maseres, F. Tracts on the Resolution of Affected Algebraic Equa- tions by Dr. Halley's, Raphson's and Sir I. Newton's Methods of Approximation. With a Preface. 1800. 8vo. [261 3 LI 54 B x (OGRAPHY OF NEWTON Maseres, F. The D * of Permutations and Combinations. Being an essential part of the Doctrine of Chances, by Jas. Bernoulli and John Wallis, with other Mathematical Tracts. Published by F- Maseres. 1795. Royal 8vo. [262 Neumann, C. Untersuchungen iiber das logarithmische und Newton'- sche Potential. 1877. 8vo. [263 Newton et Leibnitz. An anonymous statement (in English, French and German) that 250 fr. had been deposited with the ' Notary public de Fanget ' of Pau for the publication of a MS. said by Gerhardt to be in the Hanover Royal Library, called ' Excerpta ex tractatu Newtoni Msco. de Analysi per aequationes numero terminorum infmitas.' 4 pages, Imprirr^rie 6, Vignancour, Pau, Janvier, 1863. Folio. [264 Republished, with the addition of a Letter dated Pau, I August, saying that although 1500 copies were circulated in January and February, the challenge had not been taken up. 2 pages. Printed at Paris [1863]. Folio. [265 Raphson, Joseph. Historia Fluxionum, sive Tractatus Originem & Progressum Peregregiae Istius Methodi brevissimo compendio (et quasi Synoptice) Exhibens. 1715. 4to. [266 Pages 97 — 123 contain the correspondence between Newton and Leibnitz concerning the invention of Fluxions. — The History of Fluxions, shewing in a compendious manner the first Rise of, and various Improvements made in that Incom- parable Method. 1715. 4to. [267 Pages 97 — 123 are exactly the same as those in the Latin edition (both printed by the same printer), the one printing of these pages evidently serving for both editions. Robins, Benjamin. Discourse concerning the nature and certainty of Sir I. Newton's Methods of Fluxions and of Prime and Ultimate Ratios. 1735. 8vo. [268 Also in Robins's Mathematical Tracts, 1761. Vol. II. FLUXIONS 55 Schiibler, C. L. Ueber Newton's Scharfsinn, insbesondre iiber dessen Sagacitat in Analysis. 1794. [269 Sloman, H. Leibnitzen Anspruch auf die Erfindung der Differen- zialrechnung. 1857. 4to. [270 — The claims of Leibnitz to the invention of the Differential Calculus. Translated from the German, with considerable additions and new addenda by the author. Cambridge, 1860. 4to. [271 I. Barrow and the Method of Tangents. II. Wallis and the Problem of Quadratures. III. The Invention of the Differential Calculus. IV. Biot's judgement on the discovery of the Differential Calculus. V. A new feature of the Question. Additions and Remarks. Wagner, C. L. G. De approximation vera methodi Newtonianae applicatae ad duas aequationes simultaneas, etc. [1835]. 8vo. [272 Wagner, W. Bestimmung der Genauigkeit, welche die Newton'sche Methode zur Berechnung der Wurzeln darbietet, etc. 1860. 8vo. [273 Wallis, John. Opera Mathematica. 4 vols. Oxon., 1693 — 9. Folio. [274 The Preface to Volume I. contains a brief notice of Newton's claim to the discovery of Fluxions, and printed in the work are extracts from the Quadratura Curvarum, with which Newton had furnished him. Walton, J. Vindication of Sir Is. Newton's principle of Fluxions against the objections contained in the 'Analyst.' Dublin, 1735. 8vo. [275 Weissenborn, H. Die Principien der hoheren Analysis, als historisch-kritischer Beitrag zur Geschichte der Mathematik. Halle, 1856. [276 56 BIBLIOGRAPHY OF NEWTON V. ARITHMETICA UNIVERSALIS. Arithmetica Universalis ; | sive | De Compositione | et | Resolutione Arithmetica | Liber. | Cui accessit | Halleiana | Aequationum Ra- dices Arithmetice \ inveniendi methodus. In Usitm juventutis Aca- demiae. \ Cantabrigiae, Typis Academicis, MDCCVII. 8vo. [277 Collation: Half-title, Title, Ad Lectorem [Datam Cantabrigiae in. Kal. Mai. A.D. MDCCVII. G. W.], Lectori S. & Errata, 8 pp. + i — 343. Published and edited by Wm. Whiston. — Editio Secunda, In qua multa immutantur et emendantur, non- nulla adduntur. Londini, Impensis Benj. & Sam. Tooke, Bib- liopolarum, juxta Medii Templi Portarn, in vulgo vocato Fleet- street. MDCCXXII. 8vo. [278 Arithmetica Universalis, etc. (E. Hallei methodus inveniendi radices aequationum sine praevia reductione. Constructio aequationum tertiae et quartae potestatis ope circuli et datae parabolae. Tractatulus de numero et limitibus radicum in aequationibus solidis et biquadraticis. J. Colson aequationum cubicarum et biquadraticarum resolutio universalis. A. de Moivre aequa- tionum quarundam resolutio analytica. C. MacLaurin epistola de aequationibus in quibus dantur radices impossibiles. Ejus- dem secunda epistola. G. Campbell Methodus determinandi numerum radicum impossibilium in aequationibus affectis.) Lug- duni Batavorum, 1732. 4to. [279 Edited by W. J. 's Gravesande. Arithmetica Universalis. Perpetuis Commentariis illustrata et aucta a J. A. Lecchi. 3 vols. Milan, 1732. 8vo. [280 ARITHMETICA UNIVERSALIS 57 Arithmetica Universalis. Cum commentario Joh. Castillionei. Plates. 2 vols. Amstelodami, apud Marcum Michaelum Rey. 1761. 4to. [281 Volume II. has " Additamentum vel de Solutione et constructione Aequationum, &c. Scripta varia ex Transactionibus Philosophicis et aliunde excerpta " [Edm. Halley, J. Colson, A. de Moivre, Colin MacLaurin, etc.] Arithmetica Universalis summi Newtoni, contracta, illustrata, et locu- pletata ; praeeunte logica analitica a Godef. Ant. De'core'. Lugd. Bat. 1761. 8vo. [282 Translations : Universal Arithmetick : or, a Treatise of Arithmetical Composition and Resolution, to which is added, Dr. Halley's method of find- ing the roots of the ./Equations arithmetically. Translated from the Latin by the late Mr. Raphson, and revised and corrected by Mr. Cunn. London : Printed for J. Senex at the Globe in Salisbury Court, W. Taylor at the Ship, T. Warner at the Black Boy in Paternoster Row, and J. Osborn at the Oxford Arms in Lombard Street, 1720. 8vo. [283 Collation: Title, To the Reader i— iv + pp. 1—272. Sigs. 2 11. + B— Mm4. 8 plates. — The Second Edition, very much corrected. London : Printed [by T. Wood] for J. Senex in Fleet Street, W. and J. Innys near S. Paul's, J. Osborn and T. Longman in Pater-noster Row. 1728. 8vo. [284 Collation: pp. iv + 271. 8 plates. 1 This new edition in English has been very carefully compared with the correct edition of the original, published, 1 722. ' 58 BIBLIOGRAPHY OF NEWTON Universal Arithmetic: To which is added a Treatise upon the Measures of Ratios by James Maguire, A.M. The whole illus- trated in a series of Notes by the Rev. Theaker Wilder, D.D., Senior Fellow of Trinity College, Dublin. London : Printed for W. Johnston in Ludgate Street, 1769. 8vo. [285 Collation: Title, Dedication by Wilder to John Duke of Bedford, &c., Preface (dated Sept. i, 1768) v— viii+pp. i — 536 -f Title [of the Measures of Ratios] + i — 63 + Errata, 3 pp. 8 plates. Arithmetique universelle de Newton, traduite avec des notes par N. Beaudeux. 2 vols. 1802. 4to. [286 Illustrations : D&ore', Godef. Ant. Arithmetica universalis summi Newtoni, con- tracta, illustrata et locupletata ; praeeunte logica analitica. Lugd. Bat, 1761. 8vo. [287 's Gravesande, Guliel. Ja. Matheseos universalis elementa, quibus accedunt specimen commentarii in arithmeticam universalem Newtoni, ut et de determinanda forma seriei infinitae adsumtae regula nova. Lugd. Bat., 1727. 8vo. [288 — Elements of Universal Mathematics, or Algebra. To which is added A Specimen of a Commentary on Sir Isaac Newton's Universal Arithmetic. Translated from the Latin. 1728. 8vo. 2nd Edition, 1752. 8vo. [289 [Maseres, R] An Investigation of Sir I. Newton's Binomial Theorem [in the Arithmetica Universalis] in the case of the reciprocals of the roots of a binomial quantity. [Scriptores Logarithmici, Volume V.] 1791. [290 UNIVERSAL ARITHMETIC MINOR WORKS 59 Willich, Michael Laurentius. Dissertationem mathematicatn qua Methodum Newtonianam reperiundi divisores aequationum illus- trat atque demonstrat ad diem XXV. Januar. A. M.DCC.XXXVIII. publice defendet. Gottingae, apud Abram Vandenhoeck Acad. Typographum. 4to. [291 pp. [iv +] 28. VI. MINOR WORKS, Opuscula Mathematica Philosophica et Philologica, recensuit J. Cas- tillioneus. 3 vols. Lausannae et Genevae, 1744. 4to. [292 For List of Contents see No. 2. Analysis per Quantitatum Series, Fluxiones, ac Differentias : Cum Enumeratione Linearum Tertii Ordinis. Londini : Ex officina Pearsoniani, MDCCXII. 4to« [293 Edited with a Preface by Wm. Jones, pp. [xiv +] 101. Contains the De Analysi per Aequationes Infinitas, De Quadratura Curvarum, Enumera- tio Linearum Tertii Ordinis, & Methodus Differentialis. Also Fragmenta Epistolarum ad D. Oldenburgium, 13 Jun. & 24 Oct. 1676, ad D. Wallisium, 1692, ad D. Collinsium, 8 Nov. 1676. Large Paper edition printed on thick paper. 4to. [294 Amstelod. 1723. 4to. [295 6 11. + pp. 107. Also included in the Amsterdam edition of the Principia, 1723. Tractatus de Quadratura Curvarum. Edited by P. R. de Montmort. 1700. [296 Tractatus de Quadratura Curvarum. In usum studiosae juventutis mathematicae explicationibus illustratus a Daniele Melander. Upsaliae, 1762. 4to. [297 Extracts from the Quadratura Curvarum were printed in J. Wallis, Opera Mathematica, 1693 — 9, from material furnished by Newton to the Author. Analysis per Equationes numero terminorum infinitas. London, 1711. 4to. [298 60 BIBLIOGRAPHY OF NEW7ON Newtoni Genesis Curvarum per Umbras, seu Perspectivae universalis Elementa ; exemplis Coni Sectionum et Linearum Tertii Ordinis illustrata. Leyden, 1740. [299 Neutoni Genesis Curvarum per Umbras, sive perspectivae universalis elementa, exemplis coni sectionum et linearum tertii ordinis illustrata. Londini, apud A. Millar, 1746. 8vo. [300 Title, Dedication to Martin Folkes by u Patricius Murdoch." Lectoris v — x, Errata i 1. -f pp. 1—126. Sigs. A in 4, a in 2, B — I in 8's. Lineae Tertii Ordinis Neutonianae ; sive illustratio tractatus D. Neutoni de enumeratione linearum tertii ordinis, auc. Ja. Stirling. Oxon. 1717. 8vo. [301 Isaaci Newtoni Enumeratio Linearum Tertii Ordinis ; sequitur illus- tratio ejusdem tractatus auctore Jacobo Stirling. Parisiis, Irn- pensis J. B. M. Duprat, Bibliopolae. [Typis J. R. Lotlin]. MDCCXCVII. 8vo. [302 Title; Monitum Bibliopolae, v, vi; Index vii, viii + pp. i — 198. First published in Newton's Optics, 1704, but not reprinted in the other editions of that work. Translations : Two Treatises of the Quadrature of Curves and Analysis by Equa- tions of an Infinite Number of Terms explained ; containing the Treatises themselves translated into English from the Original of Sir Isaac Newton, with a large Commentary, by John Stewart. London : Printed by James Bettenham, at the Expense of the Society for the Encouragement of Learning ; and sold by John Nourse at Temple-Bar, and John Whiston in Fleet Street, Book- sellers to the said Society, 1745. 4to. [303 Title, Dedication [to Thomas Duke of Leeds] by Stewart, Preface v— x, Contents xi — xxxii + pp. i — 479 + Errata, 2 11. MINOR WORKS. CHRONOLOGY 61 Sir Isaac Newton's Enumeration of Lines of the Third Order, Gene- ration of Curves by Shadows, Organic Description of Curves, and Construction of Equations by Curves. Translated from the Latin. With notes and examples by C. R. M. Talbot, M.P., F.R.S. 1860. 8vo. [304 pp. xii + half-title + 7 — 140. 14 plates. Illustrations : Ball, W. W. Rouse. On Newton's classification of Cubic Curves, 1890 (Proceedings of London Math. Soc. Vol. XXII.) [305 Hodgson, Jas. The Doctrine of Fluxions, founded on Sir I. Newton's method publish'd by himself in his tract on the Quadrature of Curves. 1758. 4to. [306 Robins, Benj. Demonstration of the nth proposition of Newton's Theory of Quadratures. First printed 1727 in the Philosophical Transactions and afterwards altered in the Abridgement made by Messrs. Reid and Gray, 1733 [in Robins's Mathematical Tracts, 1761, Vol. II.] [307 Sylvester, J. J. Syllabus of Lecture at King's College, London, on an Elementary Proof and Generalisation of Sir Isaac Newton's hitherto undemonstrated rule for the discovery of Imaginary Roots. 28 June, 1865. (Proceedings of the London Mathe- matical Soc. Vol. I.) [308 VII. CHRONOLOGICAL AND THEOLOGICAL WORKS. The Chronology of Ancient Kingdoms amended. To which is Pre- fix'd, A Short Chronicle from the First Memory of Things in Europe, to the Conquest of Persia by Alexander the Great. London : Printed for J. Tonson in the Strand, and J. Osborn and T. Longman in Pater-noster Row, 1728. 4to. [309 62 BIBLIOGRAPHY OF NEWTON Collation: Title, and Dedication to the Queen by John Conduitt, pp. [i] — [xiv] + Contents, and Advertisement, i 1. + [i] — [376]. Sigs. A, a, B — Bbb4. 3 plates opposite p. 346. An engraved head-piece precedes the Dedication, P. Fourdrinier fecit. Contents: (a) A Short Chronicle from the first memory of Things in Europe, to the Conquest of Persia by Alexander the Great, (b) The Chronology of Ancient Kingdoms amended, i. Of the Chronology of the First Ages of the Greeks. 2. Of the Empire of Egypt- 3- °f tne Assyrian Empire. 4. Of the two Contemporary Empires of the Baby- lonians and Medes. 5. A Description of the Temple of Solomon. 6. Of the Empire of the Persians. Printed at Dublin the same year. Dublin : Printed by S. Powell, for George Risk, at Shakespear 's- head, George Ewing, at the Angel and Bible, And William Smith, at the Hercules, Booksellers in Dame's-street, 1728. 8vo. [310 pp. xiv + 378, with 3 plates at p. 346. The same Contents as the London Edition, with the addition of a 2-page list of Sub- scribers' names, consisting of 141 names of persons principally living in Ireland. * Tho' the Chronology of Ancient Kingdoms amended was writ by ths author many years since ; yet he lately revis'd it, and was actually preparing it for Press at the time of his Death. The Short Chronicle was never intended to be made public, and therefore was not so lately corrected by him.' — Advertisement. The History of the Short Chronicle is given in Brewster's Newton, 1855, H- PP- 3O1 — 312. At the request of the Princess of Wales, Newton supplied her with the work on con- dition that it should not be communicated to any other person. Afterwards his permission was obtained for the Abbe Conti to have a copy of it, but subject to the same condition. But when the Abbe returned to Paris he communicated it to various persons, and M. Freret translated it into French, with observations of his own. This translation came into the possession of G. Cavelier, a bookseller of Paris, who, wishing to publish it, wrote to Newton in May, 1724, and not receiving any answer, wrote again in March, 1725, saying he would consider his silence as consent to the publication of the work, with remarks. Cavelier then requested a friend in London to obtain an answer from Newton, which he did receive (dated May 27, 1725) refusing consent to publication, but the work was already printed when the letter arrived. A copy of the printed work (see below, No. 312) was sent to Newton, nth Nov. 1725, who then drew up a paper entitled : Remarks on the Observations made on a Chronological Index of Sir Isaac Newton, translated into French by the Observer, and published at Paris. [3 1 1 which was printed in the Philosophical Transactions of the Royal Society (Vol. XXXIII. 1725, p. 315), wherein he accused the Abbe Conti with a breach of promise, and blames the publisher for the publication of the work. On the appearance of Father Souciet's attack in 1726 (see No. 325), Newton was prevailed upon to prepare his larger work for the press, but it was not ready till nearly the time of his death. CHRONOLOGY 63 {Translations^ Abrege de Chronologic de M. Le Chevalier Newton, fait par lui-meme, et traduit sur le manuscript Anglois. [With Observations by M. Freret] Edited by the Abbe Conti. 1725. [312 In the Advertisement the publisher defends himself for printing against the author's wishes, remarking that he had written three times to him and had received no answers, although he had said that he should take his silence as consent to publication. See note to No. 310. La Chronologic des Anciens Royaumes corrigee. A laquelle on a joint une Chronique abregee, qui contient ce qui s'est passe" an- ciennement en Europe, jusqu' a la conquete de la Perse par Alexandre le Grand. Traduit de 1'Anglois [by F. Granet, assisted by — Marthan]. 1728. 4to. [313 La Cronologia degli antichi regni emendata . . . tradotta . . . dal Sig. P. Rolli. 1757. 8vo. [314 \Illustr ations.\ Bedford, Arthur. Animadversions upon Sir Isaac Newton's Chrono- logy. 1728. 8vo. [315 Emerson, Wm. Account of some of the numerous inconsistencies, contained in the Observations of the Rev. Dr. Rutherford, against Newton's account of the Argonautic Expedition [in his Short Comment on the Principia\. 1770. [316 Essays on Chronology ; being a vindication of the system of Sir Isaac Newton. By a Member of the University of Cambridge. Cambridge, 1827. I2mo. [317 Freret, N. Defense de la chronologic, fondle sur les monumens de 1'histoire ancienne, centre le systeme chronologique de M. New- ton. Paris, 1858. 4to. [318 64 BIBLIOGRAPHY OF NEWTON Halley, Edm. Remarks on some Dissertations lately published at Paris by E. Souciet against Sir I. Newton's Chronology. (Philo- sophical Transactions of the Royal Soc. 1727, pp. 205, 296. [319 Musgrave, Samuel. Two Dissertations : I. On the Grecian Mytho- logy. II. Examination of Sir Isaac Newton's Objections to the Chronology of the Olympiads. 1782. 8vo. [320 Reid, Andrew. An Abstract of Sir Isaac Newton's Chronology of Ancient Kingdoms, by Mr. Reid. Second Edition. 1732. 8vo. [321 — Abrege de Chronologic des Anciens Royaumes . . . Traduit de 1'Anglois de M. Reid [by J. A. Bustini]. Geneve, 1743. 8vo. [322 Response aux Observations sur la Chronologie de M. Newton. Lon- don (?) 1728. 8vo. [323 [Steuart, Sir James D.] Apologie au sentiment de Monsieur le Chevalier Newton, sur 1'ancienne Chronologie des Grecs, con- tenant des Responses a present. Par Mons. le Chevalier S 1. Francfort sur le Main, 1757. 4to. [324 Souciet, E. Cinq Dissertations centre la Chronologie de M. Newton. [Recueil de Dissertations, Vol. II.] 1726. 4to. [325 Stenote to No. 310, and Halley, No. 319. Sykes, A. A. An Examination of Mr. Warburton's account of the conduct of the ancient legislators ... & of Sir Isaac Newton's Chronology. 1744. 8vo. [326 Whiston, Wm. Collection of Authentick Records belonging to the Old and New Testament. Translated into English, 1727-8. [327 Observations upon the Prophecies of Daniel and the Apocalypse of St. John. In Two Parts. 1733. 4to. [328 pp. vi + i — 323. Dedicated to the Rt. Hon. Lord King, by Benj. Smith. PROPHECIES OF DANIEL 65 Observations upon the Prophecies of Daniel. A New Edition, with the citations translated, and notes by P. Borthwick, Esq., of Downing College, Cambridge. 1831. 8vo. [329 Dedicated to Henry Drummond, of Albury Park, by the Editor. A Latin Translation was published by M. Sudemann at Amsterdam, 1737. 4to. [330 Des Ritters Isaak Newton's . . . Beobachtungen zu den Weissagun- gen des Propheten Daniels. Aus dem Lateinischen Herrn W. Siidermanns verdeutschet und mit . . . Anmerkungen begleitet von M. C. F. Grohmannen. Welchem beygefuget ist . . . New- tons Auslegung der OfTenbarung Johannis, aus dem Lateinischen verdeutschet und mit Anmerkungen erlautert (von. A. Rosen- bergen). 2 parts. Leipzig, 1765. 8vo. [331 [Illustrations] Addison, Rt. Hon. J. The Evidence of the Christian Religion . . . with a preface, containing the sentiments of ... Sir Isaac New- ton, concerning the Gospel Revelation. 1763. I2mo. [332 The Family Expositor ; or, a Paraphrase of the New Testament. Vol. III. [containing A Dissertation on Sir Isaac Newton's scheme for settling the chronology of our Lord's Ministry (pub- lished in Bk. I., cap. XL of his Prophecies of Daniel)]. 1739, etc. 4to. [333 Grey, Zachary. Examination of the xivth Chapter of Sir Isaac Newton's Observations upon the Prophecies of Daniel. 1736. 8vo- [334 Remarks on the Religious Sentiments of learned and eminent lay- men ; viz. Sir Isaac Newton, Boyle, Locke, etc., with occasional reflections on Incredulity. 1790. i6mo. [335 5 66 BIBLIOGRAPHY OP NEWTON Saint Clair, J. Observations on certain passages in Daniel and the Apocalypse. Containing ... a defence of Sir I. Newton's general interpretation, etc. 1755. I2mo. [336 Whiston, Wm. Remarks on Sir Isaac Newton's Observations on Daniel and the Apocalypse. [No. 5 of Dissertations^ 1734. 8vo. [337 Two Letters of Sir Isaac Newton to Mr. Le Clerc, late Divinity Professor of the Remonstrants in Holland. The Former con- taining a Dissertation upon the Reading of the Greek Text, I John v. 7; the Latter upon that of I Timothy iii. 16. Pub- lished from authentic MSS. in the Library of the Remonstrants in Holland. London : Printed for J. Payne, at Pope's Head in Paternoster- Row, 1754. 8vo. [338 — Printed in G. Clarke, On the objects of Religious Worship, etc. 1812. 8vo. [339 — Printed in J. Sparks, Collection of Essays and Tracts. Vol. II. 1823 [340 [Illustrations] Acton, H. The Religious Opinions of Milton, Locke, and Newton. 1833. 8vo. [341 Green, H. Sir Isaac Newton's views on points of Trinitarian doc- trine ; his Articles of Faith, and the general coincidence of his opinions with those of John Locke, etc. 1856. 8vo. [342 Henderson, E. The Great Mystery of Godliness controvertible ; or Sir Isaac Newton and the Socinians . . . foiled in the attempt to prove a corruption of the text, I Tim. iii. 16, etc. 1830. 8vo. [343 LETTERS TO BENTLEY, ETC. TABLES 67 [Mawer, John.] Letters in Answer to some queries sent to the Author, concerning the genuine reading of the Greek Text, i Tim. iii. 16, now first published on occasion of Sir Isaac Newton's Two Letters to Mr. Le Clerc lately published. York, 1758. 8vo. [344 Four Letters from Sir Isaac Newton to Dr. Bentley, containing some Arguments in Proof of a Dei ty, pp. 35. 1756. 8vo. [345 The Letters are answers to Letters of Dr. Bentley, and are published without any pre- face or introduction. Dissertation upon the Sacred Cubit of the Jews and the Cubits of the several nations ; in which, from the Dimensions of the greatest Egyptian Pyramid, as taken by Mr. Greaves, the antient Cubit of Memphis is determined. Translated from the Latin of Sir Isaac Newton by John Greaves. [John Greaves's Works, edited by Birch, 1737, Vol. II/j [346 Letter to a person of distinction who had desired his opinion of the learned Bishop Lloyd's Hypothesis concerning the Form of the Most Ancient Year. [Sent by the Bishop of Worcester to Dr. Prideaux, and printed in the Gentleman's Magazine, 1755, Vol. XXXV. p. 3.] [347 Not printed in Newton's Works. Tables for renewing and purchasing of Leases of Cathedral Churches and Colleges. 2nd Edn. 1722, 3rd Ed. 1729, 4th Ed. 1731, 5th Ed. 1735, 6th Ed. 1742, 7th Ed. 1758, 8th Ed. 1808. [348 The work is not included in Horsley's edition of Newton's Works, and was not described as 'Newton's Tables' until the 3rd edition of 1729. Newton's commendatory note of Sept. 10, 1685, clearly shews that the work was not compiled by him. 68 BIBLIOGRAPHY OP NEWTON Thirteen Letters from Sir Isaac Newton, representative in Parliament of the University of Cambridge, to John Covel, D.D., Vice- chancellor. From Original MSS. in the Library of Dawson Turner, Esq., Yarmouth. Norwich : printed by Charles Muskett, 1848. Roy. 8vo. [349 Dedicated to Dr. Whewell, Master of Trinity College, and contains a facsimile of Newton's letter of March 2d i68f. VIII. COINAGE. 'Macaulay avers in his history that Newton — independently, I suppose, of his public action in reference to the Re-coinage—has left no exposition of his opinions touching the currency. The eloquent historian thus leaves out of view the well-known Report of 1717, upon which was based the reduction of the Guinea from 21 shillings and 6 pence to 21 shillings. It would seem, then, that the doctrinal importance of this Report had escaped recognition from the English historian, though, as I have had occasion to ascertain, it was the subject of appreciative comment in France and Prussia more than a century ago. Indeed, I read it first in a German translation, printed at Berlin in 1762.'— S. D. Morton's Silver Pound, 1887. Three Reports by Sir Isaac Newton, as Master of the Mint, dated 3 March 1711 — 12; 23 June 1712; 21 Sept. 1717. Printed in A Short Essay on Coin, 1737. 8vo. [350 An edition was also printed at Dublin in the same year. Representations of Sir Isaac Newton on the Subject of Money, 1712 — 17 (in Overstone's Collection of Tracts on Money, 1856). [35* Graumann, Joh Philipp. Gesammelte Briefe von dem Gelde, von dem Wechsel und dessen Coins, von der Proportion zwischen Gold und Silver, etc. 1762. [3S2 Contains Newton's entire report in German. Monetary Reports (1701 — 2) signed by Sir Isaac Newton. Printed from the MSS. in the Tower Mint and the Public Record Office (pp. 261—271 of S. D. Horton's Silver Pound, 1887). [353 MINT REPORTS. WORKS EDITED 69 A Letter to a Friend, occasion'd from what was published in the Daily Courant, Dec. 30, 1717, by Sir Isaac Newton relating to Coin, by S. Ph. 1718. I2mo. [354 Sir Isaac Newton and England's Prohibitive Tariff upon Silver Money. An open letter to Prof. W. Stanley Jevons, by S. Dana Horton, pp. 29. Cincinnati : R. Clarke & Co. 1881. 8vo. [355 A Reply to W. Stanley Jevons's article, < R. Cantillon and the Nationality of Political Economy' (Contemporary Review, Jan. 1881). Sir Isaac Newton and Bimetallism, by W. Stanley Jevons. (Printed in his Investigations in Currency and Finance, 1884.) [356 Table of Assays of Foreign Coin. [Printed in Dr. Arbuthnot's Tables of Ancient Coins, Weights and Measures, 1727, 4to, and edited by Dr. Benj. Langworth, 1754. 4to.] [357 IX. WORKS EDITED. Barrow, Isaac. Lectiones XVIII. Cantabrigiae in Scholis publicis habitae ; in quibus Opticorum Phaenomen/2n Genuinae Rationes investigantur, ac exponuntur. Annexae sunt Lectiones aliquot Geometricae. Londini M.DC.LXIX. [358 The ' Lectiones Geometricae ' has a separate title-page dated 1670, and is separately paged. Bernhardi Vareni Med.D., Geographia Generalis, in qua Affectiones Generales Telluris Explicantur, summa cura quam plurimis in locis emendata & XXXIII schematibus novis, Aere incisis, una cum Tabb. aliquot quae desiderabantur Aucta et Illustrata. Ab Isaaco Newton, Math. Prof. Lucasiano apud Cantabrigienses. Editio Secunda, auctior et emendatior. 70 BIBLIOGRAPHY OF NEWTON Cantabrigiae : Ex officina joann. Hayes. Celeberrimae Acade- miae Typographi, sumptibus Henrici Dickinson Bibliopolae, 1681. [359 — The first edition, also edited by Newton, appeared in 1672. [360 An edition 'cum appendice J. Jurin, Cantab. 1712.' English translation by Mr. Douglas, 1733. 8vo. X. BIOGRAPHIES, ETC. Ball, W. W. Rouse. A History of the Study of Mathematics at Cambridge, 1889. Cr. 8vo. [361 Chapter IV. The Life and Works of Newton. V. Rise of the Newtonian School. VI. Later Newtonian School. Bentley, Richard. Life by J. H. Monk, 1830, 4to; 2nd Edition. 2 vols. 1833. 8vo. [362 — Correspondence. [Edited by Christopher Wordsworth.] 2 vols. 1842. 8vo. [363 Contains Letters of Bentley, Newton, and Cotes. Biot, J. B. Notice sur Pouvrage intitule "The Life of Sir Isaac Newton " par David Brewster. (Extraite du Journal des Savans.) 40 pp. 8vo. [364 Biot wrote the article 'Newton* in the Biographic Universelle. See under Lord Brougham. — Correspondence of Sir Isaac Newton and Prof. Cotes, etc. Ex- traits du Journal des Savans (cahier de Mars, s^rie Mai et Juin.) Sept. 1852. 4to. [365 Birch, T. History of the Royal Society of London. 4 vols. 1/56. 4to. [366 Contains Letters of Newton to Halley and others. Boole, George. Address on the genius and discoveries of Sir Isaac Newton, etc. 1835. 8vo. [367 BIOGRAPHIES, ETC. 71 Brewster, Sir David. Life of Sir Isaac Newton. With portrait en- graved by W. C. Edwards after Sir G. Kneller. 1831. i8mo. [368 Revised by W. T. Lynn. 1875. [369 — Memoirs of the Life, Writings, and Discoveries of Sir Isaac New- ton. With portrait engraved by Robert C. Bell after Sir Godfrey Kneller, and an engraving of the Newton Statue. 1855. 2 vols. 8vo. 2nd Edition. 1860. 2 vols. Cr. 8vo. [370 A. De Morgan reviewed this work in the North British Review, 1855. See also under Chasles. Brougham, Henry Lord. Deux discours, Tun sur la litterature popu- laire, 1'autre sur le monument eleve a Sir Isaac Newton. Paris, 1859- [371 See also Nos. 53 and 397. [Brougham, Lord.] Life of Sir Isaac Newton, pp. 40. Library of Useful Knowledge, 1829. 8vo. [372 The Life is substantially a translation of that in Biographie Universelle, by M. Biot. Chasles, Michel. Articles contributed to Comptes Rendus, Vols. 65 to 69. 1867—9. [373 A full account of the forger of these documents — Vrain-Denis Lucas— is given in J. A. Farrer's Literary Forgeries (1907). In February, 1870, he was sentenced to two years' im- prisonment and a fine of ^25. He had forged as many as 27,320 letters which he palmed of, at a price to their dupe of nearly ^"6000. The following works were issued in connec- tion with the subject, occasioned by M. Chasles's papers : Brewster, Sir D. Lecture to the British Association (12 Sept. 1867) on the alleged correspondence between Pascal and Newton. (British Association Report), 1867. [374 Hirst y T. Archer. On the alleged correspondence between Newton and Pascal recently communicated to the French Academy. (British Association Report), 1867. [375 72 BIBLIOGRAPHY OF NEWTON Grant, R. Two Letters (12 Sept. and 31 Oct. 1867) on the ques- tion of the authenticity of the documents respecting Newton, which have been communicated by M. Chasles to the Academy of Sciences of the French Institute, addressed to M. U. J. Le Verrier, pp. 20. Glasgow, 1869. 8vo. [376 Communicated to Le Verrier at the dates given, and a French translation printed in the Comptes Rendus. Prof. Grant wrote a letter (18 Sept.) to the Times of 20 Sept. 1867, also Prof. Hirst, and Sir David Brewster printed a letter which he had sent to M. Chevreul (16 Oct.), and which was translated and printed in the Comptes Rendus of 21 Oct. Faug^re, P. Defense de B. Pascal et accessoirement de Newton, Galilee, Montesquieu, etc., centre les faux documents pr^- sentes par M. Chasles a I'Acad&nie des Sciences. Avec plu- sieurs fac-simile (19 facsimiles of Authentic Documents and of the forgeries), pp. 120. 1868. 4*0. [377 Contains his correspondence with Chasles and Chevreul (President) ; Extrait du Journal La France, 18 Oct. 1867 ; Lettre au Directeur du Correspondant, printed 25 Dec. 1867. Martin, T. Henri. Newton defendu contre un faussaire Anglais, pp. 32. 1868. 8vo. [378 Crompton, Samuel. On the Portraits of Sir Isaac Newton, and par- ticularly on one of him by Kneller, painted about the time of the publication of the Principia, and representing him as he was in the prime of life. [Proceedings of the Literary and Philosophical Society of Manchester, Vol. VI. 1866—7, PP- l — 7-] [379 Dr. C. exhibited an admirable engraving by Mr. Oldham Barlow (of Victoria Road, Kensington) of the recently-discovered portrait of Newton, painted by Kneller in 1689, identified by Dr. C. at the Art Treasures Exhibition. From Lord Portsmouth he obtained permission for Mr. Barlow to engrave it. The painting came into Lord Portsmouth's pos- session by the marriage of his ancestor Lord Lymington to the grand-niece of Newton, Miss Conduit. Des Maizeaux. Recueil de diverses pieces sur la philosophic, la religion naturelle, 1'histoire, les math^matiques, etc., par Mess. Leibnitz, Clarke, Newton, Conti, et autres autheurs c^lebr^s. Amsterdam, 1720. Second Edition, 1740. 2 vols. I2mo. [380 BIOGRAPHIES, ETC. 73 De Morgan, Augustus. Life of Sir I. Newton, in Knight's Portrait Gallery, Vol. XI. 1846; and in the * Penny Cyclopaedia/ 1840. [38i This was the first Life which embodied the material given in Flamsteed's Life, 183$. — Newton : his friend and his niece. Edited by Mrs. De Morgan and A. C. Ranyard, 1885. 8vo. [382 Edleston, J. Correspondence of Sir I. Newton and Prof. Cotes, in- cluding Letters of other eminent men, from the originals in Trinity College, Cambridge. Together with an Appendix con- taining other unpublished Letters and Papers by Newton ; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history. With Portrait engraved by J. Outrim from the drawing in the Pepysian Library. 1850. 8vo. [383 After Cotes's death these letters came into the possession of his cousin Robert Smith, who bequeathed them to Edward Howkins, who bequeathed them to Trinity College in 1779. Contains letters of Bentley, Clarke, Keill, Halley, Jones, J. Smith, Whiston, Oldenburg, Wallis, and others. Facii Duillerii, N., Newtonus : Ecloga. (Ghent ?) 1728. 8vo. [384 Printed in the Republic of Letters, Vol. I. 1728. Faugere, P. See Chasles (page 71). Flamsteed, John, Account of, compiled from his own manuscripts and other authentic documents never before published. By Francis Baily, 1835. Supplement, 1837. 4*o. [385 Fontenelle, B. de. Eloge de Monsieur le Chevalier Newton, pp. 36. 1728. 4to. [386 — Abrdgd de 1'Iiloge de M. le Chevalier Newton, par M. de Fonte- nelle. Single Sheet. [Paris, 1728?] Folio. [387 — The Elogium of Sir Isaac Newton, pp. 34. J. Tonson, 1728. 4*o. [388 74 BIBLIOGRAPHY OF NEWTON Fontenelle, B. de. Life of Sir Isaac Newton, with an account of his writings, pp. 26. J. Woodman and D. Lyon, 1728. 4to. [389 A different translation. — Account of the Life and Writings of Sir I. Newton. Second Edition, pp. 35. 1728. 4to. [390 Fontenelle had the use of a sketch of Newton's Life drawn up by his nephew, Mr. Conduitt. Fragments de lettres de divers savans contemporains de Newton, pr^c&dds d'un remarque sur quelques hypotheses de Newton lui- m£me. 3 parts, pp. 14 + 8 + 9. No date. 8vo. [391 Freeman, Philip (of Trinity Coll., Cambridge). Newtonus. Carmen Latinum. 1837. (Prolusiones Academiae Cantabrigiensis.) [392 Frisi [or Frisius,] Paolo. Elogio del Cavaliere I. Newton, pp. 132. Milano, 1778. 8vo [and in Collezione de' Classici Italiani, Vol. 350, 1804]. [393 [Jurin, J.] Philalethes Cantabrigiensis. Geometry no friend to in- fidelity; or, a defence of Sir Isaac Newton, etc. 1734. 8vo. [394 — A Defence of Free-thinking in Mathematics: in answer to a pamphlet of Philalethes Cantabrigiensis, entitled Geometry no friend to infidelity, etc. 1735. [395 — The Minute Philosopher . . . containing a defence of Sir Isaac Newton. 1738. 8vo. [396 King, E. F. Biographical Sketch of Newton. To which are added authorised Reports of the Oration of Lord Brougham (with his lordship's notes) at the inauguration of the Statue at Grantham ; and of several of the speeches delivered on that occasion [by W. Whewell, Sir B. C. Brodie, Rev. J. W. Turner, and T. Winter.] Second Edition, 1858. [397 Leibnitz. Mathematische Schriften herausgegeben von C. I. Geb- hardt. 2 volumes. 1849. ^va [39^ Containing Letters of Newton, Huyghens, L'Hopital, Galloys, Collins, and others from the originals in the Royal Library, Hanover. BIOGRAPHIES, ETC. 75 Locke, John. Life by H. R. Fox Bourne. 2 vols. 1876. 8vo. [399 Martin, Benj. Biographia Philosophica. 1764. 8vo. [400 Contains a Life of Sir Isaac Newton, with a portrait Martin, T. Henri. See Chasles. Pahin-Champlain de la Blancherie, F. C. C. De par toutes les nations . . . Proclamation . . . En remontrance ... a la Nation sur une chose . . . attentatoire a ... la m^morie de Sir I. Newton . . . et pour la pr^parer a adopter . . . le plan maintenant sous presse, d'une commemoration solennelle de ce . . . personnage, etc. 1796. 4to. [401 Paulian, A. H. A Treaty of Peace between Descartes and Newton : to which is prefixed an Account of the Lives of these eminent philosophers [in French}. 3 vols. Avignon. 4to. [402 Peters, W. Newton rescued from the precipitancy of his followers, etc. 1846. 8vo. [403 Reid, Thos. Account of the Family of Sir Isaac Newton, in a Letter from the late Professor Thomas Reid to the late Professor John Robinson [dated 12 April, 1792]. Printed in the Edinburgh Philosophical Journal, Vol. III. 1820, pp. 293 — 6. [404 Rigaud, S. D. Correspondence of Scientific Men of the XVllth Cen- tury, including Letters of Barrow, Flamsteed, Wallis, and Newton, printed from the originals in the collection of the Earl of Maccles- field. 2 volumes. Oxford, 1841. 8vo. [405 Contents and Index, compiled by Augustus De Morgan, pp. 609 — 664. Oxford, 1862. 8vo. [406 The Macclesfield Collection at Sherborn Castle consists of the greater part of the library of William Jones, which, besides his own correspondence, included the libraries and papers of Collins, Oughtred, and others. Schuebler, C. L. Ueber Newtons Scharfsinn insbesondre iiber dessen Sagacitat in Analysis. 1794. 8vo. [407 76 BIBLIOGRAPHY OF NEWTON Thomson, James. A Poem Sacred to the Memory of Sir Isaac New- ton. London, Printed for J. Millan, 1727. Folio. 5th Edition, 1727- [408 Dedicated to the Rt. Hon. Sir Robert Walpole. in versi Toscani, per And. Bonducci. 1741. 4to. [409 Tosi, J. L. & A. M. Vannucchi. Raccolta d'opuscoli sopra 1'opinioni filosofiche di Newton. 1744. 8vo. [410 Turner, Edmund. Collections for the History of the Town and Soke of Grantham, containing authentic Memoirs of Sir I. Newton now first published. 1806. 4to. [411 Contains among other things Conduitt's sketch of Newton, drawn up for the use of Fontenelle. Van Swinden, J. H. Oratio de Philosophia Newtoniana. Franquerae, June 7, 1779. 4*o. [412 INDEX Abbatt, Richard, 40 Abendroth, Wm., 189 Acton, H., 341 Adams, J. Couch, 3, 9 Addison, J., 41, 332 Airy, Sir G. B., 192, 3 Algarotti, Count, 194 — 7 Amoretti, C. & F. Soave, 198 Arbuthnot, Dr., 357 Aston, Fr., 139 Aubrey, 139 Baehr, J. C., 199 Baily, Francis, 385 Ball, W. W. Rouse, 42, 43, 305, 361 Banieres, Jean, 44 Barlow, Oldham, 379 Barrow, Isaac, 190, 241, 243, 271, 358, 405 Baumann, J. J., 45 Beaudeux, N., 286 Bedford, Arthur, 315 Bedford, John Duke of, 285 Bentley, Richard, I, 8, 12, 46, 345, 362, 363, 383 Berce, M. de, 231 Bernoulli, Daniel, 13 Bernoulli, James, 262 Bernoulli, John, 2, 182, 258, 259 Betti, Enrico, 47 Biot, J. B., 271, 364, 365, 372 Biot, J. B. & F. Lefort, 242—3 Birch, Thomas, 366 Blackburn, Hugh, 15 Bonducci, And., 409 Boole, George, 367 Borthwick, P., 329 Boscovich, R. J., 48 Bourgeois, C. G. A., 200 Bousquet, M. M., 182 Boyle, Robert, I, 335 Boys, C. V., 49 Bradley, James, 10 Bremond, P., 50 Bresher, M. R., 51 INDEX 77 Brewster, Sir David, 75, 364, 368—70, 374, 376 Brodie, Sir B. C., 397 Brinkley, John, 52 Brougham, Lord, 53, 54, 371, 372, 397 Browne, William, 215 Buckworth, Sir John, 10 Button, G. L. Le Clerc, Count de, 236 Bustini, J. A., 322 Campbell, A., 55 Campbell, G., 279 Cantillon, R., 355 Carpenter, W., 56 Carr, John, 33 Carruthers, G. T., 57, 58 Carter, Mrs. Eliz., 195, 197 Cassegrain, M , 231 Castel, L. B., 59 Castillioneus, John, 2, 281, 282 Cavalieri, 243 Cavalier, G., 310 Challis, John, 60 Chamberlayn, 2 Chapman, L. L., 6 1 Chasles, Michel, 373 Chastelet, Marq. du, 38 Chevreul, 376 Clairaut, 38 Clarke, G., 339 Clarke, John, 62, 143 Clarke, Samuel, 142—3, I79> 3&O, 383 Collins, John, 2, 237—243, 293, 398, 406 Colson, John, 2, 232, 279, 281 Cominale, C., 201 Commercium Epistolicum, &c., I, 2, 237, 244, 249 Conduitt, John, 3, 8, 390, 411 Conduitt, Miss, 379 Conti, Abbe, 2, 310 — 12, 380 Cooke, G. Leigh, 36 Coste, P., 1 86 Cotes, Roger, 8, 19, 246, 365 Courtivron, G., 202 Covel, John, 349 Cowley, J. L., 64 Crompton, S., 379 Cunn, Sam, 283 D***, 1'Abbe, 65 Davis, William, 24, 25 Decore, Godef. Ant., 282, 287 De Moivre, Ab., 279, 281 De Morgan, A., 19, 247—50, 370, 381, 382, 406 De Morgan, Mrs., 382 Denison, J., 66 Desaguliers, J., 67, 83, 215 Descartes, 59, 65, ill, 122, 131, 243, 402 Des Maizeaux, 242, 380 Dieterich, C., 68 Ditton, Humphrey, 69, 251 Dolland, P., 203 Domcke, G. P., 70 Douglas, Mr., 360 Drummond, Hen., 329 Duperron de Castera, 196 Durdik, Jos., 352 Eberhard, J. P., 204 Edleslon, J., 383 Emerson, Wm., 24, 25, 72, 205, 316 Euler, L., 13 Evans, J. H., 35 Facius Duillerius, N., 384 Fauquier, J. F., 10 Feller, F. X. de, 74 Ferguson, Jas., 75 Fermat, 243 Finlayson, J., 76 Flamsteed, 2, 161—2, 172, 385, 405 Folkes, Martin, 10, 300 Fontenelle, 3, 10, 41, 386—390 Fox Bourne, H. R., 399 Freeman, Philip, 392 Freret, N., 310, 312, 318 Frisi (or Frisius), Paolo, 393 Frost, P., 37 Fusinieri, A., 206 Galilei, 97, 124 Galloys, 398 Gamaches, E. S. de, 77 Gardiner, W., 41 Gautier d'Agoty, Jacques, 207 George I. 10 Gerhardt, G. J., 254—5, 260, 262 Gering, J., 78 Glaisher, J. W. L., 79 Goethe, 199, 210, 213, 214 Gonnella, Tito, 211 Gordon, G., 80 Graevell, F., 212 Granet, F., 313 INDEX Grant, A. R., 376 Graumann, J. P., 352 's Gravesande, W. J., 81— 2, 288—9 Gray, G. J., 5 Greaves, John, 2, 346 Green, H., 342 Greene, R., 85 Gregg, T. D., 86 Gregory, David, 87—8, 90, 139, 191 Gregory, fas., 89, 215, 241 Gregory, jas. Craufurd, 90 Grey, Zachary, 334 Griffith, G., 216 Groning, J., 91 Grohmann, M. C. F., 331 Gronau, J. F. W., 92 Hadley, John, 215 Halley, Edmund, 6 etc., 88, 93, 139, 168, 261, 277, 279, 281, 283, 319, 366, 383 Harrington, 95 Harris, John, 2 Hartsoeker, N., 94 Hastie, C. N., 95 Heine, E., 96 Henderson, E., 344 Henrici, J., 97 Hermann, 98 Herschel, SirJ. F. W., 217 Herschel, Wm., 95, 218 Hirst, T. Archer, 375—6 Hodgson, Jas., 256, 306 Hook, 139 Home, G., 99 Horsley, Samuel, I Horton, S. R., 353, 355 Howkins, Edward, 383 Huber, J., 100 Hudde, 243 Hutchinson, 99 Huyghens, €.,91, 97, 398 acquler, F. See Le Seur. Jadelot, 1'Abbe, 101 Jebb, John, 20 ; evons, W. Stanley, 385—6 foncourt, E. de, 84 Jones, Wm., 13, 232, 293, 383, 406 Jurin, J., 360, 394—6. Kant, 68 Keill, John, 102—3, 241, 244, 247, 257, 258, 383 Kelvin, Lord, 15 Kepler, 137 King, E. F., 397 Koch, G. F., 104 La Caille, N. L. de, 105—6 Langworth, Benj., 357 Lardner, Dionysius, 220 Lavirotte, 113 Lecchi, J. A., 280 Le Clerc, 338, 342 Leeds, Thos. Duke of, 303 Lefort, F. See Biot. Leibnitz, 2, 174, 241-2, 244—5, 247, 252, 254, 257, 259, 260, 266—7, 271, 38o, 398 Leprince, H. S., 221 Le Seur, T. & F. Jacquier, 13 etc., 21 LeVerrier, U. J., 376 L'Hopital, 398 Linus, Francis, 223 Littrow, J. J. von, 107 Liveing, G. D., 3 Lloyd, Bishop, 347 Locke, John, 335, 341—2, 399 Loomis, W. J., 108 Lovett, R., 222 Luard, II. R., 3 Lucas, Anthony, 231 Lucas, Vrain-Denis, 373 Lucinus, Paul, 223 Ludlam, W., 109 Lymington, Lord, 379 Lynn, W. T., 368 Macclesfield, Earl of, 405 Macdonald, J. A., no Machin, J., 23 — 25 MacLaurin, Colin, 13, 112, 279, 281 Maguire, Jas., 285 Main, P. T., 35 Marat, J. P., 188 Mar than, 313 Martin, Benj., 114 — 17, 400 Martin, T. Henri, 378 Marline, G., 118 Maseres, Francis, 261, 290 Maskelyne, Nevil, 24 Maxwell, J., Ill Mawer, John, 342 Mayer, T., 119 Mead, J., 120 INDEX 79 Melander, Daniel, 297 Milton, John, 341 Mollweide, C. B., 224 Monboddo, Lord, 121 Monk,J. H., 367 Montague, Chas., 2 Montmort, P. R. de, 296 Moreau de Maupertuis, 122 Motte, A., 23, 30 M tiller, G. A., 123 Murdoch, Patrick, 1 1 2, 300 Musgrave, Samuel, 320 Neumann, C., 124—5, 263 Newton, Sir Isaac : Opera, I, 2, 292 Portsmouth Collection of Books and Papers, 3 Bibliography of Works, by Gray, 5 Principia, 6 etc. Corollaries, 169 De Mundi Systemate, 19, 24 — 27, 30—32 Optics, 174 etc. Optical Lectures, 190—1, 183 — 5 Papers in Transactions of R. Society, 231 Fluxions, 232 etc. Commercium Epistolicum, &c., 237 etc. Arithmetica Universalis, 277 etc. Analysis per Quantitatum Series, 12, 293—5 Tractatus de Quadratura Curvarum, 174, 179, 296— 7, 303 Analysis per Equationes numero ter- minorum infinitas, 298, 303 Genesis Curvarum per Umbras, 299 — 300, 304 Enumeratio Linearum tertii Ordinis, 12, 174, 179, 301—2, 304 Chronology of Ancient Kingdoms, 309, etc. Prophecies of Daniel and Apocalypse of St. John, 328 etc. Two Letters to Le Clerc, 338 etc. Four Letters to Dr. Bentley, 345 Sacred Cubit of the Jews, &c., 346 Letter to a person of distinction, 347 Tables ... of Leases, 348 Letters to Dr. Covel, 349 Mint Reports, 350 etc. Table of Assays of Foreign Coin, 357 Edited Barrow's Lectiones, 358 ,, Vareni Geographia, 359 — 60 Newton, Sir Isaac— continued. Life and Correspondence, 215, 361 — 412 Portraits, 379, 400 Vanderbank (1725), 9 Kneller (1689), 379 Kneller, engraved by W. C. Edwards, 368, engraved by R. C. Bell, 370 1726, Daudet sculp,, 182 in Pepysian Library, 383 Medallion, De la monce