HENRY SOTHERAN & CO., 140, STRAND, W.C, and 43, PICCADILLY, W. 757 



15081 STEVINUS (Simon, de Bruges) Arithmetique, reveue corrigee et augmentee de plusieurs 

 Traictez et Annotations par ALBERT Girard ; with fine engraved title and diagrams, thick 8vo. 

 contemporary white vellum {somewhat browned, but a fine copy) ; very rare, £2. 155 



Leide, de V Imprimerie des Elzeviers, 1625 

 This edition contains the author's Arithmetique theorique, Jirst published in 15S5, his ' Arithmetique pratique ', and 

 ' Les Six Premiers Livres d'Algebre de Diophante d'Alexandrie, dont les quatre premiers sont traduicts et expliquez par 

 Simon Stevin, et les deux derniers par Albert Girard.' 



In it appeared first ' La Pratique d'Arithmetique' (pp. 6!)o-S22), La Disrae, enseiguant facilement expedier par nombres 

 entiers sans rompuz, tons comptes se rencontrans aux affaires des Hommes' (pp. 823-49), and 'Traict6 des Incommensur- 

 ables Grandeurs, avec Appendice de I'explication du 10^ livre d'Euclide (pp. 850-85). 



' La Disnie ' contains, according to Prof, de Morgan, ' the first announcement of the use of decimal fractions.' 

 ' He introduced in his Arithmetic exponents to mark the power to which quantities were raiseil ... He further sug- 

 gested the use of fractional (but not negative) exponents, and a decimal system of weights and hm asures. His geometry 

 is ingenious . . . Some theorems on perspective are enumerated.'— IK. W. R. Ball. 



15082 De Beghinselen iler Weeghconst: De Weeghdaet: De Beghinselen des Water- 



WICHTS ; all first editions, with vignette on titles, and numerous woodcuts and diagrams, 3 vols, 

 sra. 4to. in 1, old white vellum (first title slightly soiled, and a few slight water-stains, otherwise 

 fine copies) ; excessively rare, £7. 15^ ibidem, Christoffell Plantijn, 1586 



15083 The Same, 3 vols, in 1, hf. citron calf, as good as new (neat library stamp on third title, 



otherivise remarkably fine and exceptionally tall copies), £9. 9* 



' It is however on his Statics and Hydrostatics, published (in Flemish) at Leyden in 1580, that his fame rests. In 

 these works he enunciates the triangle of forces— a theorem which some think was first propounded by Leonardo da Vinci. 

 Stevinus regards this as the fundamental proposition of the subject. Previous to the publication of his work the science 

 of statics had rested on the theory of the lever, but subsequently it became usual to commence by proving the possibility 

 of representing forces by straight lines, and thus reducing many theorems to geometrical propositions, and in particular to 

 obtaining in this way a proof of the parallelogram (which is equivalent to the triangle) of forces . . . Stevinus also found 

 the force which must be exerted along the line of greatest slope to support a given weight on an inclined plane— a problem 

 the solution of which had been long in dispute. He further distinguishes between stable and unstable equilibrium. In 

 hydrostatics he discusses the question of the pressure which a fluid can exerci.se, and explains the so-called hydrostatic 

 paradox.'— IT. IV. R. Ball. 



A full account of this classic of statics will be found in Prof. E. Mach's ' Science of Mechanics.' The above original 

 editions are excessively rare, the work being generally quoted by historians of mathematics from the Latin translation 

 in the rep^'int in H>/pom>iemata Mothematicn. 



15084 STIFEL (Michael) Arithmetica Integra, cum Pi.nefeitione Philippi Melanchthonis, 

 editio princeps ; 2vith numerous diagrams, thick sm. 4to. old calf (back of binding damaged, 

 title mounted, and a few wormholes in blank margin, nevertheless a sound copy) ; very rare, 

 £5. 5* Norimbergm, apud Johan. Petreium, 1544 



' The first two books deal with surds and incoinmensurables, and are Euclidean in form. The third is on algebra, and 

 is noticeable for having called general attention to the German practice of u.sing the signs + and - to denote addition and 

 subtraction. ... It used to be said that Stifel was the real inventor of logarithms, but it is now certain that this opiniou 

 wa.s due to a misapprehension of a passage in which he compares geometrical and arithmetical progressions. Stifel is said 

 to have indicated a formula for writing down the coefficients of the various terms in the expansion of (1 + x)n if those in 

 the expansion of (1 + x)n-i were known.'— IT. W. R. Ball. 



15085 STILLMANN (Thomas Bliss) Engineering Chemistry: a Manual of Quantitative 

 Chemical Analysis for the Use of Students, Chemists, and Engineers, 3rd Edition [enlarged], 

 with 139 illustrations, 8vo. cL, 9s (p. 19s nett) Easton, Pa., 1905 



15086 STIRLING (James, f.r.s.) Line^ Tertii Ordinis Neutonian^, sive Ulustratio Tractatus 

 D. Neutoni de Enunieratione Linearura Tertii Ordinis, cui subjungitur, Sohitio trium Problem- 

 atum ; with numerous diagrams, and view of Sheldonian Theatre on title, 8vo. old calf (joints 

 cracked), with auto, of Michael Fryer (very rare), £1. 5* Oxonian, 1717 



' It supplied four additional varieties to Newton's seventy-two forms of the cubic curve.'- D. N. B. The work forms a 

 necessary supplement to Newton's Enumcraiio Linearum III. Ordirds (v. Nos. 12572-3 ante). It contains a long list of 

 subscribers, including Sir Isaac Newton. A note by Michael Fryer (1806) on the flyleaf states : ' Extremely rare— cost me 

 £1. Is. M. F.' 



15087 Methodus Differentialis : sive Tractatus de Summatione et Interpolatione 



Serierum Infinitarum, editio princeps; with diagrams, 4to. large and sound copy in con- 

 temporary calf gilt (name cut off title) ; very rare, £2. Londini, 1730 



15088 Another Copy, contemporary calf, with bookplate of and MS. notes by, Philip 2nd 



Earl Stanhope, F.R.S. (fine copy), £2. 2s 



15089 Editio Secunda ; with diagrams, 4to. hf. calf (joints cracked), with bookplates p/[SlR] 



George Pretyman [Tomline] , .B/?. of Winchester, William Pitt's tutor and biographer, and 

 Prof. Lloyd Tanner, F.R.S. (rare), £1. 105 ibidem, 1764 



15090 The Differential Method : or a Treatise concerning Summation and Interpolation 



of Infinite Series, translated, with the Author's Approbation, by Francis Holliday, with 

 diagrams, 1749 : The Two BOOKS of Apollonius Perg^us, concerning Tangencies, as they 

 have been restored by Franciscus Vieta and Marinus Ghetaldus, with a Supplement by John 

 Lawson, pr., with Q plates, Cambridge, '64—2 vols. 4to. in 1, hf bound (first title mounted), with 

 autos. of Michael Fryer and Samuel Roberts, F.R.S., and MS- notes by the former (very rare), 

 £1. 155 1749 64 



This work is of importance in the history of the differential calculus, as haying been the first to give the proof of 

 what is known as ' Maclaurin's theorem ' [i;. Nos. 2761-3, ante] ; but, save for Montncla. who gives a full account in his 

 Histoire des viathcmatiqiies, v. Ill, pp. 223-7, and Cantor {Vorlesungen ub. Gesch. d. MatJiematik, Bd. Ill pp. C25-30), the 

 work is curiously enough almost unnoticed in modern histories of mathematics. 



' La premiere partie de cet ouvrage a pour objet la sommation des suites dans lesquelles chaque terme est form6 du 

 precedent, multipli^ par une fonction rationnelle dti son rang. Un grand nombre des resultats sont fort int6ressants .... 

 Sesrecherchcspresententquelqueutilite dans certaines questions spiciales dependant ducalcul des probabilit^s.' — M.Marie. 



15091 STKEETER (Edwin William ; jeweller) Gold : Legal Regulations for the Standard of Gold 

 and Silver Wares in different Countries of the World, translated and abridged from the Work of 

 A. V. Studnitz by Mrs. Brewer, with Notes and Additions; 6th Edition, enlarged, with 2 

 coloured plates, and map, post 8vo. cl. (scarce), 8s 1878 



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