518 HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 43, PICCADILLY, W. 



10391 LADIES' DIARIES (The), The MATHEMATICAL PARTS of the, from 1705 to 1773 (Nos. 2-70, 

 with Appendix containing Additional Solutions, and Index), with numerous diagrams, 3 vols. 

 12mo. contemporary hf. calf (nice copy), 12s Qd [1705-73] 



This excellent publication went on for nearly a hundred years, at a time when Women of Fashion must have actually 

 studied Mathematics, a form of dementia whose existence nowadays might have provided one more ground for 

 divorce to the Majority of the Divorce Commission. 



It contains a largo number of interesting problems. Its editors were John Tipper (1705-13), Henry Beightou, F.R.S. 

 ('14-44), Robert Heath ( 45-53), Thomas Simpson, F.R.S. ('54-60), and Edward Rollinson ('61-73). 



See LEVBOURN (Thomas), post. 



10392 LADY'S and GENTLEMAN'S DIARY 



(The), or Complete Mathematical Almanach, 

 1844-6, with diagrams, 3 vols. fcap. 8vo. sewn, 4s 1844-6 



The unhappy mania above referred to would seem to have survived into the Nineteenth Century. In the Twentieth a 

 complete prophylactic can happily be found in the sixpenny magazine. 



10393 LA FAYE ( de, Tresorier general des Gratifications des Troupes) RECHERCHES sur la 

 PREPARATION que les ROMAINS DONNOIENT a la CHAUX dont ils se servoient pour leurs Con- 

 structions, et sur la COMPOSITION et I'EMPLOI de leurs MORTIERS, avec MEMOIRE pour servir de 

 SUITE a ces Recherches 2 vols. sm. 8vo. in 1, old mottled calf (fine copies) ; rare, 12s 



Imprimerie Roy ale, 1777-8 



10394 ANOTHER COPY, sewn, uncut, 10s Qd 



'Les differens precedes que j'indique sont justifies oar les textes des auteurs des anciens, et je me suis assure de leur 

 succes par des epreuves multipliees. 1 Avertissement. But even after this and other researches, the wonderful hardness of 

 Roman mortar keeps its secret still. 



10395 LAFON (A.) MEMOIRE sur la ROTATION d'un CORPS SOLIDE AUTOUR dun [sic] POINT FIXE, 

 8vo. (pp. 36), sewn, Is Qd [Nancy,] 1860 



10396 [LA GARAYE (Claude Toussaint Marot, Comte de)] CHIMIE HYDRAULIQUE, pour 

 EXTRAIRE les SELS ESSENTIELS des Vegetaux, Animaux, et Mineraux, avec 1'Eau pure, par 

 M. L. C. D. L. G., premiere edition ; with 2 folding copperplates, 12mo. contemporary French 

 calf gilt (nice copy), 12s 60? 1745 



' Selon lui les vegetaux, les animaux ou les mineraux contiennent, dit M. Pougin, desremedes specifiques centre toutes 

 les malaiies curables, les matieres medicamenteuses sont melees a d'autres Elements qui en affaiblissent 1'energie. II 

 appartient a la chimie de separer les elements utiles des elements intitiles ou nuisibles. Pour obtenir cette division, la 

 chimie avait jusque la employe la distillation seche et la distillation par Faction du feu. Le comte de la Garaye, jugeant 

 que le premier de ces moyens alterait la nature meme des matieres medicamenteuses, et que le second diminuait leur 

 force, imagiua de recourir a 1'eau froide ou tiede tout au plus, animtie d'un mouvement rapide ou incessant, pour 

 dissoudre la partie active des matieres medicamenteuses appartenant aux trois regnes de la nature. II fond ait son 

 opinion de la non-alteration des sels qu'il preparaic ainsi sur ce qu'ils avaient le gout, 1'odeur et toute 1'emcacite du 

 vegetal dont ils etaient extraits.' Biogr. Gen. 



10397 [LAGRANGE (Joseph Louis Comte; de VInstitut; F.R.S.)] LECONS sur le CALCUL des 

 FONCTIONS ; nouvelle Edition, revue et augmentee par 1'AUTEUR, 8vo. hf. bound, or, sewn, 

 3s Qd 1S06 



' This work may be considered as the starting point for the researches of Cauchy, Jacobi, and Weierstrass.' W. W. R. Ball. 



10398 LECTURES ON ELEMENTARY MATHEMATICS, translated [with Memoir] by THOMAS 



JOSEPH McCORMACK, with portrait and diagrams, post 8vo. cl., 3s Qd (p. 5s nett) Chicago, 1898 



10399 MECHANIQUE ANALITIQUE, premiere edition, 4to. old hf. calf (rare), 15s 1788 



'From Walter Nichol to Edward Irving Xov. 1818.' Tnscr. on flyleaf. This was probably the Rev. Edward Irving 

 (1792-1834), founder of the ' Irvingites,' and friend of Carlyle. 



10400 ANOTHER COPY, contemporary French calf extra (fine copy), 17s 60? 



10401 THE SAME ; ALSO : Dubuat [de Sassegnies] (Le Chevalier) MEMOIRES sur la 



MECANIQUE, Tome premier (seul paru) ; with folding plate 2 vols. 4to. in 1, hf. morocco gilt (nice 

 copies), 1. Is , 1788-1821 



10402 NOUVELLE (2 e ) EDITION, revue et augmente'e par 1'Auteur [et achevee, apres sa Mort, 



par J. P. M. BlNET], 2 vols. 4to. in 1, calf gilt (nice copy), 15s 1811-15 



1 His great work in which lie lays down the law of virtual work, and from that one fundamental principle, by the aid of 

 the calculus of variations, deduces the whole of mechanics, both of solids and liquids.' W. W. R. Batt. 



' A kind of scientific poem '.Sir W- R. Hamilton. 



' Analytical mechanics was brought to its highest degree of perfection by Lagrange. His aim is to dispose once for all 

 of the reasoning necessary to resolve mechanical problems, by embodying as much as possible of it in a single formula. 

 This he did. Every case that presents itself can now be dealt with by a very simple, highly symmetrical and perspicuous 

 schema ; and whatever reasoning is left is performed by purely mechanical methods. The Mechanics of Lagrange is a 

 stupendous contribution to the economy of thought.' Prof. E. Much. 



10403 THEORIE des FONCTIONS ANALYTIQUES, contenant les Principes du Calcul Diffdrentiel, 



degages de toute Consideration d'lnftniment Petits, d'Evanouissans, de Limites et de Fluxions, et 

 reduits a 1'Analyse Alge"brique des Quantites Finies, premiere edition, 4to. sewn, Qs Qd 



an V [1797] 



10404 NOUVELLE [2 e ] EDITION, revue et augmentee par I'AUTEUR, 4to. hf. cl., 6s 1813 



10405 ANOTHER COPY, hf. calf gilt (nice copy), 7s Qd 



'The Theorie des functions aimed at placing the principles of the calculus on a sound foundation by relieving the mind 

 of the difficult conception of a limit or infinitesimal. Lagrange attempted to prove Taylor's theorem [v. No. 476-', <m>>' } 

 the power of which he was the first to point out by simple algebra, and then to develop the entire calculus irom that 

 theorem ', etc. etc. etc. Prof. Cajori. 



10408 TRAITE de la RESOLUTION des EQUATIONS NUMERIQUES de tous les Degres, avec des 



Notes sur plusieurs Points de la Theorie des Equations Algebriques, nouvelle [2 e ] Edition, revue 

 et augmentee par 1'AUTEUR, 4to. sewn, 5s 6d 1808 



10407 ANOTHER COPY, old calf, 6s Qd 



10403 TROISIEME EDITION, conforme a celle de 1808, et preceiee d'une Analyse de FOuvrage, 



par Louis PoiNSOT, 4to. boards, uncut, 10s Qd 1826 



The best edition. 



' Giving a method of approximating to the real roots of numerical equations by continued fractions, and, among other 

 things, a proof that every equation must have a root a theorem which appears bafore this to have been considered as 

 self-evident. ' Prof. Cajori. 



