HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 43, PICCADILLY, \V. 625 



OPTICS, continued : 



12550 NEWTON (Sir Isaac, P.R.S.) : OPTIQUE de NEWTON : ANOTHER COPY of MARAT'S TRANSLA- 

 TION (as fully described in No. 12548), 2 vols. 8vo. HANDSOMELY BOUND IN CONTEMPORARY 

 FRENCH CRIMSON MOROCCO EXTRA, hand-tooled backs, silken linings and flyleaves, g. e., by 

 DEROME (A VERY FINE COPY), 4. 4* 



This, like all the other works of this monster of the Terror, is very rare (v. Nos. 11385-91, ante). The ' Opticks' \vere 

 previously translated into French by Pierre Coste in 1725, and reprinted in 1722. This translation appears however to 

 have been very unsatisfactory, for the editor characterizes it as ' defectueuse, infidele et obscure, servile et barbare *. 

 Marat's translation is by no means a literal one, and should be of special interest, as it was Marat who first, in France, 

 dared to attack Newton's corpuscular theory. 



Marat's translation was apparently unknown to Sir David Brewster, as he only mentions that of P. Coste. 



12551 - LECTIONES OPTICJE, Annis MDCLXIX ad MDCLXXI, in Scholis Publicis habitse: et 

 nunc primum ex MSS. in Lucem editfc, editio princeps ; with 24 folding plates, 4to. sewn, 

 uncut (sound copy) ; RARE, 1. Is . Londini, Guil. Innys, 1729 



12552 ANOTHER COPY, old vellum ( fine copy], 1. 5s 



12553 ANOTHER COPY, contemporary calf, newly rebacked, 1. 4* 



Consisting of two parts, 'de radiorum lucis refractionibus ', and 'de colorum origine '. Only the first part was 

 translated, into English. 



' Before the end of 1669 he had worked out the details of his discovery of the decomposition of a ray of white light into 

 rays of different colours by means of a prism. The complete explanation of the theory of the rainbow followed from this 

 discovery. These discoveries formed the subject matter of the lectures which he delivered as Lucasian professor from 

 1669 to 1671 . . . The MS. of his original lectures was printed in 1729 under the title Lectiones Opticce.'W. W. R. Ball. 



' This valuable work contains many beautiful propositions, and interesting and instructive experiments, which are not 

 to be met with in any modern treatise on optics/ Sir David Brewster, F.R.S. 



ARITHMETICA UNI VERSALIS : 



12554 f ] ARITHMETICA UNIVERSALIS ; sive de Comppsitione et Resolutione Arithmetica Liber, 

 cui accessit HALLEIANA ^EQUATIONUM RADICES arithrnetice inveniendi METHODUS, editio 

 princeps ; with numerous diagrams, sm. 8vo. contemporary calf (joints neatly mended, otherwise 

 a FINE COPY), with inscr. ' E Libris B : Baker Sane: Trin: Coll : Cant. Alumni, 1707' on flyleaf, 

 and bookplate of John Kentish (Unitarian) ; RARE, 1. 105 Cantabrigiw, 1707 



12555 ANOTHER COPY, old hf. calf gilt, l.8sQd 



12556 ANOTHER COPY, contemporary panelled calf gilt (VERY SOUND AND FRESH COPY), 



with old engraved bookplate of John Peyto Verney, Lord Willoughby de Broke, 1. 12* Qd 



This work was published by WILLIAM WHISTON, pr., F R.S., who 'extracted 'a somewhat reluctant permission from 

 Newton to print it. Among several new theorems on various points in algebra and the theory of equations Newton here 

 enunciates the following important results. He explains that the equation whose roots are a solution of a given 

 problem will have as many roots as there are different possible cases. . . . He extends Descartes's rule of signs to give 

 limits to the number of imaginary roots He uses the principle of continuity to explain how two real and unequal roots 

 may become imaginary in passing through equality . . . and shows that imaginary roots must oncur in pairs. ... 

 The most interesting theorem contained in the work is his attempt to find a rule (analogous to that of Descartes for 

 real roots) by which the number of imaginary roots of an equation can be determined.' W. W. R. Ball. 



12557 EDITIO SECUNDA, in qua multa immutantur et emendantur, nonnulla adduntur ; with 



numerous diagrams, 8vo. old calf (neivly rebacked) ; RARE, 15s Londini, 1722 



This edition, the last published during the author's lifetime, is almost as rare as the first. It was unknown to Prof, 

 de Morgan. 



12558 EDITIO NOVA, cum Commentario JOHANNIS CASTILLIONEI ; with 37 folding plates > 



2 vols. 4to. old calf, 10* Qd Amstedodami, 1761 



12559 ANOTHER COPY, 2 vols., contemporary mottled calf gilt (fine copy), 14s 



Besides the editor's preface (pp. 14), and the copious commentary (pp. 288), the above edition contains 'Addita- 

 menturn vel de Solutione et Constructione -iEjuationum, etc. : Scripta varia ex Transaction! bus Philosophies et aliunde 

 excerpta [by EDMUND HALLEY, JOHN COLSON, ABRAHAM DE MOIVRE, COLIN MACLAURIN, A. G KASTNER, K. J. 

 BOSCOVICH, and others (pp.134)]. 



12560 [ ] U NIVERSAL ARITHMETICK : or a Treatise of Arithmetical Composition and Resolu- 

 tion. To which are added, DR. HALLEY'S Method of finding the Roots of ^Equations Arithmeti- 

 cally; translated by JOSEPH RAPHSON, F.R.S. , and revised and corrected by SAMUEL CUNN, first 

 English edition, with 8 plates, sm. 8vo. old calf, newly rebacked (rare), 15s J. Senex, 1720 



12561 SECOND EDITION, very much corrected, with 8 plates, Svo. old calf, rebacked, 7s Qd 



apud eundem, 1728 



12562 ANOTHER COPY, contemporary panelled calf ', Ss 



12563 [THIRD AND LAST EDITION], to which is added, a TREATISE on the MEASURES of RATIOS, 



by JAMES MAGUIRE, the whole illustrated and explained in a Series of Notes, by THEAKER 

 WILDER, D.D., T.C.D., with 8 plates, thick Svo. hf. calf gilt, or, old calf, 8s Qd 1769- 



COMMERCIUM EPISTOLICUM : 



12564 COMMERCIUM EPISTOLICUM D. JOHANNIS COLLINS at aliorum de ANALYSI PROMOTA : 



Jussu Societatis Regiae in Lucem e litum [Cura JOANNIS KEILL, S.R.S.] ; editio princeps ; with 

 diagrams, 4to. contemporary panelled calf, neivly rebacked (very rare), 2. 12s Qd 



Londini, Typis Pearsonianis, 1712 



This is the celebrated report drawn up by order of the Royal Society, and consisting of 'a selection from the corre- 

 spondence of John Collins, F.R.S. with some of the most celebrated mathematicians of the time, which substantiated Keill's 

 charge against Leibniz of having derived the fundamental ideas of his calculus from papers by Newton, said to have been 

 communicated to him through Collins and Oldenburg. 



Although greatly biassed in Newton's favour, the work is nevertheless ' a repertory of the utmost value to the history 

 of science ' (D. N. B.), and is now excessively rare. 



The above is, according to Gray's Bibliography of Newton, THE EARLIEST OF THE TWO ISSUES OF THE FIRST EDITION. 



12565 [EDITIO SECUNDA], et jam una cum ejusdem Recensione prsemissa, et Judicio 



primarii, ut ferebatur, Mathematici subjuncto, iteruni impressum ; with diagrams, 8vo. fine and 

 tall copy in old calf gilt (RARE), 1. 12s 60? ibidem, J. Tonson et J. Watts, 1722 



12566 ANOTHER COPY, cl.,with MS notes by, and bookplate of, Prof. Lloyd Tanner, F.JK.S.,l. 10s 



The first issue of the second edition. 



