HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 37, PICCADILLY, W. 37i 



7256 DESCARTES [Latine CABTESIUS] (Rene du Perron) DISCOURS de la METHODS pour bien 

 conduire sa raison, et chercher la verite dans les sciences. Plus la DlOPTBIQUB, les METEORES, 

 et la GEOMETRIE, qui sont des essais de cete Methode, premiere edition ; with vignette on title, 

 and numerous woodcuts and diagrams, 4to. contemporary white vellum (VERY FINE COPY) ; VERY 

 RARE, 5. 15s Leyde, Jan Maire, 1637 



FIRST EDITION of this celebrated work, the first to make known the author's system of ' philosophy (' cogito, ergo 

 sum'), and EXCESSIVELY RARE, especially in such line condition. 



The work moreover first contained his treatises on Optics, Meteors, and Geometry, the last, the most celebrated, con- 

 taining his INVENTION of ANALYTICAL GEOMETRY. The Optics contain the law of refraction, discovered by W. Snellius, 

 which has mistakenly been attributed to Descartes, while the treatise on Meteors contains an explanation of numerous 

 atmospheric phenomena, including the rainbow. 



7257 (EuVRES PHILOSOPHIQUES (Discours sur la Methode; Meditations, avec Objections et 



Reponses ; Principes de la Philosophic ; Passions de 1'Ame ; Regies pour la Direction de 1'Esprit ; 

 Correspondance), publiees d'apres les Textes originaux [avec sa Vie et Eloge] par L. AIME- 

 MARTIN ; with 4 plates, impl. 8vo. cl., with Dr. Emit Reich's bookplate, 10s 6d 1838 



7258 CEUVRES (Discours sur la Methode; Meditations ; Traite des Passions), collationnees sur 



les meilleurs Textes, avec Introd. par JULES SIMON, fcap. 8vo. (pp. 596), hf. French morocco neat, 

 4s 1844 



7259 GEOMETRIA, cum NOTIS FLORIMONDI DE BEAUNE, Opera atque Studio FRANCISCI A 



SCHOOTEN ; nunc demum ab eodem diligenter recognita, locupletioribus Commentariis instructa, 

 mul tissue egregiis Accessionibus exornata ; with fine engraved portrait by F. v. Schooten, and 

 numerous diagrams, 4to. contemporary vellum (slightly water -stained, but a sound copy] ; RARE, 

 1. Is Amst., L. et D. Elzevir, 1659 



A new translation of the Geometric, as originally published in the Discours, and specially valuable for the notes by 

 rE BEAUNE, which rendered the difficult original text easy of comprehension, and wherein the editor first points out that 

 the properties of a curve can be deduced from those of its tangent (' the inverse method of tangents '). 



' Early in 1658 a similar discovery [on the rectification of algebraic curves], independent of that of Neil, was made by 

 van Heuraet, and this was published by van Schooten inhis edition of Descartes' s ' Geometria ' in 1659.' W. W. R. Rail. 



7260 EDITIO TERTIA, multis Accessionibus exornata, et plus alterfi sui parte adaucta ; with 



engraved portrait, and numerous diagrams, 4to. sound copy in old vellum, 12s Qd ibidem, 1683 

 ' It was Descartes who first recognised the true meaning of the negative roots of equations ; and we owe to him the 

 theorem, which is called by his name, that an equation may have as many positive roots as there are changes of sign in 

 passing from term to term, and as many negative roots as there are continuations of sign, and not more of either kind. 

 He gave a new and ingenious solution of equations of the fourth degree ; and first introduced exponents, and thereby laid 

 the foundation for calculating with powers. He showed moreover how to draw tangents and normals at every point of a 

 geometrical curve . . . and what perhaps is his highest merit, he showed how to express the nature and the properties of 

 every curve, by an equation between two variable co-ordinates; thus, in fact, originating Analytical Geometry, which has 

 led to the brightest discoveries.' Prof. Andrew Seth Pringle Pattison. , 



7261 : La GEOMETRIE de RENE DESCARTES, nouvelle Ed. ; with diagrams, cr. ^to.sewn, 3s 1886 



In this edition the modern notation has been substituted for that of Descartes. 



7262 - PRINCIPIA PHILOSOPHISE, Ed. IV., recognita et Mendis expurgata : SPECIMINA 

 PHILOSOPHIAE, seu Dissertatio de Methodo etc. ; DIOPTRICE et METEORA : PASSIONES ANIM.E 

 3 vols. 4to. in 1, with fine full-length portrait, engraved title, and numerous woodcuts; con- 

 temporary English calf; with booklabel of Daniel Shotivell, Coll. Eman., 1669, 12s Qd Amst., 1664 



7263 EDITIONES ALTER AE ; with numerous woodcuts, 3 vols. sm. 4to. in 1, old calf (cracked, 

 title slightly damaged, and some II. water-stained), with bookplate of Mr. Henry Reeve, C.B., 7s Qd 



ib., Dan. Elzevir, 1672 



7264 EvEDEM ; with numerous woodcuts, 3 vols. sm. 4to. in 1, hf. morocco, ivith auto, of Samuel 



Jcbb, M.D. (1694-1772), 7s Qd ib., a.e., 1677 



The Principia are for the most part devoted to physical science, and contain the laws of motion and the author's 

 physical theories of the universe, including his once famous theory of vortices, which was only ousted after a supreme 

 reign of nearly a century by Newton's law of gravitation. 



7265 : FOUILLEE (Alfred) DESCARTES ; with portrait after Frans Zf?s,fcap. Svo. buckram, 2s 1893 



7266 : MAHAFFY (John Pentland, D.D.) DESCARTES, with portrait after F. Hals, 12mo. cl., 2s 



Edin., 1880 



7267 DESCHANEL (Augustin Privat) ELEMENTARY TREATISE on NATURAL PHILOSOPHY ; 

 translated and edited by J. D. EVERETT, F.R.S., 9th Ed., with 3 coloured plates and 783 woodcuts, 

 Svo. (pp. 1156), cl., 4s Qd (p. 18s) 1886 



7268 TENTH EDITION, with 3 coloured plates and 783 woodcuts, Svo. (pp. 1148), cl., 5s (p. 18s) 1888 



7269 - PART II : HEAT, 16th Ed., with 140 woodcuts, Svo. cl., 2s Qd (p. 4s Qd) 1902, or '4 



7270 PART IV : SOUND and LIGHT, with coloured plate and 219 woodcuts, Svo. cl., 2s Qd 



(p. 4s Qd) 1903 



7271 DESMAREST (E.) TRAITS de 1' ANALYSE INDETERMINEE du SECOND DEGRE a DEUX 

 INCONNUES, suivi de son Application & la Recherche des Racines Primitives, avec Table de ces 

 Racines pour tous les Nombres Premiers compris entre 1 et 10,000, 4to. sewn, 9s Qd 1852 



7272 DETJSING- (Anton) De VERO SYSTEMATE MUNDI DISSERTATIO MATHEMATICAL, qua 

 COPERNICI SYSTEMA MUNDI REFORMATUR ; sublatis interim inlinitis pene Orbibus, quibus in 

 Systemate Ptolemaico humana Mens distrahitur ; with numerous diagrams, sm. 4to. FINE COPY in 

 calf antique, r. e., by Mackenzie, with inscr. ' BIBLIOTHECJS COLBERTIN^ ' on title, and bookplate of 

 Henry B. H. Beaufoy, F.B.S., 2. 2s Amstelodami, Lud. Elzevir, 1643 



Interesting as suggesting a new solar system. The work was unknown to Brunet, Graesse, and Ebert, and is RARE. 



7273 DEWAR (Sir James, F.R.S.) On ALCHEMY in Relation to MODERN SCIENCE, with foldi\ 

 table, Svo. (pp. 28), sewn, 2s Qd [1884 



7274 DIARIAN REPOSITORY (The), or MATHEMATICAL REGISTER; containing a Complete Col 

 lection of all the MATHEMATICAL QUESTIONS which have been published in the LADIES DIARY, 

 1704-60, with their Solutions, by a SOCIETY of MATHEMATICIANS, numerous diagrams, 4to. con- 

 temporary calf, 12s Qd 1774 



