HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 37, PICCADILLY, W. 19 



347 [BERKELEY (George, Bp. of Cloyne)] The ANALYST ; or a DISCOURSE addressed to an INFIDEL 

 MATHEMATICIAN, wherein it is examined whether the Object, Principles, and Inferences of the 

 modern Analysis are more distinctly conceived or more evidently deduced than Religious Mysteries 

 and Points of Faith, by the AUTHOR of the MINUTE PHILOSOPHER, first edition, 'with diagrams, 

 Svo. sewn (RARE), 125 Qd 1734 



' In the Analyst his theological philosophy was further unfolded, in an argument meant to show that the higher 

 mathematics involve assumptions which as truly exclude definite or exhaustive conception as do any of the mysteries of 

 religion.' Prof. Campbell Fraser. 



343 [ ] A DEFENCE of FREE-THINKING in MATHEMATICS, in Answer to a Pamphlet of Phila- 



lethes Cantabrigiensis, intituled, ' Geometry no Friend to Infidelity ' ; also APPENDIX concerning 

 Mr. Walton's Vindication of the Principles of Fluxions, by the AUTHOR of the MINUTE 

 PHILOSOPHER, first edition, Svo. sewn (rare), 10s 1735 



'In England the principles of fluxions were boldly attacked by Bp. Berkeley, who argued with great acuteness, 

 contending, among other things, that the fundamental idea of supposing a finite ratio to exist between terms absolutely 

 evanescent was absurd and unintelligible. The reply made by Jurin \_q. v. post] failed to remove all the objections. 

 Berkeley was the first to point out what was again shown later by Lazare Carriot, that correct answers were reached by 

 a compensation of errors.' Prof. Cajori. 



See JURIN and WALTON, post. 



349 _ SIRIS : a CHAIN of PHILOSOPHICAL REFLEXIONS and INQUIRIES concerning the VIRTUES 

 of TAR WATER, and divers other Subjects connected together and arising one from another, 2ND 

 [AND BEST] EDITION, improved and corrected, Svo. sewn (VERY LARGE AND CLEAN COPY) ; RARE, 

 1. Is 1744 



'The most permanent result of his enthusiasm was the work published in 1744, 'Siris' . . . The title 'Siris' was added 

 in the 2nd edition ; this appeared in 1744, others in 1746 and 1748 . . . The popularity was doubtless due to the medical 

 rather than to the metaphysical theories which were strongly blended together ; at the time it was the most popular of 

 Berkeley's writings.' Sir Leslie Stephen. 



See HALES, post, for other curious works on this subject. 



350 BERNOULLI (Daniel) HYDRODYNAMICA, sive de Viribus et Motibus Fluidorum Commentarii ; 

 with plates, 4to. boards, 8s Qd Argentorati, 1738 



The author in this work first develops a theory of hydraulic pressure, expanded later by Coriolis, Navi'er, and Weisbach. 

 ' His chief work ... It resembles Lagrange's Mecanique analytique in being arranged so that all the results are consequences 

 of a single principle, namely, in this* case, the conservation of energy.' W. W. R. Ball. 



351 BERNOULLI (Jacques) OPERA; with 48 plates, 2 thick vols. 4to. old hf. parchment (VERY 

 RARE), 2. 12s Qd Geneva, 1744 



' Among his triumphs are to be recorded his solution of Leibnitz's problem of the isochronous curve, and his deter- 

 mination of the catenary.' He also is celebrated as the founder, with Leibnitz, of the integral calculus and the rule of 

 probabilities. 



ARS CONJECTANDI, accedit Tractatus de Seriebus Infinitis, editio princeps ; with plate, 



sm. 4to. old parchment (stamp on title, but a nice tall copy] ; rare, 12s Qd Basilece, 1713 



' A development of the calculus of probabilities, and containing the investigation now called BernavUi'i theorem and the 



so-called numbers of Bernoulli, which are in fact (though not so considered by him) the coefficients of" in the expansion 

 of ( e x i)-i '.Prof. Cajori. 



See jVI ASERES, post, for an English Translation. 



353 BERNOULLI (Jean) OPERA OMNIA, tarn antea sparsim edita, quam hactenus inedita ; with fine 

 portrait of King Frederick III. of Prussia, and numerous folding diagrams, 4 vols. 4to., sound copy 

 in contemporary mottled calf extra, 1. 1* Lausannai, 174:3 



354 - ANOTHER COPY, 4 vols. 4to. old calf (wanting the portrait), 15s 



' His chief discoveries were the exponential calculus, the treatment of trigonometry as a branch of analysis, the con- 

 ditions for a geodesic, the determination of orthogonal trajectories, the solution of the brachistrochone, the statement that 

 a ray of light traversed such a path that 2/u.rfs was a minimum, and the enunciation of the principle of virtual work; I 

 believe that he was the first to denote the accelerating effect of gravity by an algebraical sign g, and he thus arrived at the 

 formula v* = 2 gh 1 . W. W. K. Ball. 



355 BERNTHSEN (A.) KURZES LEHRHUCH der ORGANISCHEN CHEMIE, 5. Auflage, bearbeitet unter 

 Mitwirkung v. EDUARD BuCHNER, large post Svo. hf. morocco neat, 3s (p. M.10. sewn) 



Braunschweig, 1S95 



356 BERTHELOT (Pierre Eugene Marcellin, de rinstitut) LECON sur FIsoMERiE, Svo. sewn, with 

 authors inscr. to Prof. Williamson, 3s [1863] 



357 - LECONS sur les METHODES GENERALES de SYNTHESE en CHIMIE ORGANIQUE, Svo. sewn, 

 ivith author's inscr., 4s (p. F.8.) 1864 



- LA SYNTHESE CHIMIQUE, S e edition, Svo. cl., 3s Qd 1897 



359 - - TRAITE ELEMENTAIRE de CHIMIE ORGANIQUE, Svo. sewn, 2s 1872 



360 BERTHOLLET (Claude Louis, Comte) ELEMENTS de FART de la TEINTURE, premiere 

 edition, 2 vols. Svo. contemporary calf gilt (RARE), 1. Is 1791 



' A work that first systematized and chemically explained the principles of the art.' Ency. Brit. 



' 11 y offre une theorie generals des principes de cet art. La doctrine des niatieres colorantes et de toutes les modifica- 

 tions, qu'on pent leur faire subir, celle des mordants necessaires pour les fixer, y sont exposees en detail, et on y trouve 

 les idees qui peuvent conduire a decouvrir des pratiques plus simples ou plus efficaces.' Bwcjr. Gen. 



361 ELEMENTS of the ART of DYEING, trans, by WILLIAM HAMILTON, M.D., with copperplate, 



2 vols. Svo. sewn, uncut (name on titles], RARE, 1. 55 1791 



THE FIRST ENOLISH TRANSLATION of this classic work, including a Vocabulary and Index. Berthollet first used a 

 chlorine gas (' dephlogisticated marine acid') for bleaching purposes, which opened its great future to the herbage- 

 devastating manufacture of bleaching-powder. 



362 - - ELEMENTS of the ART of DYING [sic] , containing the Theory of Dying in General, as far as 

 it respects the Properties of Colouring Substances, Svo. cl., 5s Edin., 1792 



This is only one-fourth of the above work although complete in itself and in quite a different translation. 



- ELEMENTS of the ART of DYEING and BLEACHING, trans., with Notes [pp. 102], by ANDREW 

 URE, F.R.S. ; new Ed., revised and corrected by an EXPERIENCED PRACTICAL DYER and CALICO 

 PRINTER, 6 plates, Svo. cl., uncut, 10* Qd 1841 



364 ESSAI de STATIQUE CHIMIQUE, 2 vols. Svo, old calf (VERY SCARCE), 2. 5s 1803 



