L'HOSPITAL, G(uillaume)-F.-A. de (1661-1704) / STONE, M. (Edmund, about 1700-1768): — Analyse des infiniment petits, pour l'intelligence des lignes courbes. Par Mr. le Marquis De LÕHospital. Seconde Edition. 1715 / ReliŽ avec - bound-up with: 2) M. (Edmund) Stone: Analise des infiniment petits, comprenant le calcul intŽgral dans toute son Žtendue, avec son application aux Quadratures, Cubatures, Centres de GravitŽ, de Percussion, & de toutes sortes de Courbes. Servant de suite aux infiniment petits de ... LÕH™pital (sic): Traduit en Franois par M. Rondet, Ma”tre de MathŽmatiques. (avec une prŽface de P. Castel) 1735.
1) A Paris, Chez Franois Montalant, / 2) A Paris, Julien-Michel Gandouin et Pierre-Franois Giffart, 1715 / 1735, in-4¡, XV (+ 1 table) + 181 p. (+ 1 privilge) + 11 planches gravŽes dŽpl. / 2) CIV (=104 p.) + 162 p. + 1 f. (fautes ˆ corriger) + 4 planches gravŽes dŽpl., petite tache dÕeau marginale au dŽbut de lÕouvrage (sans gravitŽ), reliure en plein veau dÕŽpoque, dos ˆ 5 nerfs richement ornŽ en or, tranches rouges, gardes en papier dominotŽ originales, bel exemplaire en parfait Žtat. 1) Seconde Ždition aprs lÕŽdition originale du premier manuel de calcul diffŽrentiel, impr. ˆ Paris, par lÕImprimerie Royale, en 1696. La seconde Ždition est purgŽe de ses fautes typographiques. Cette oeuvre principale de Guillaume de L'Hospital, ˆ la fois prŽcise et simple d'utilisation, fut longtemps une rŽfŽrence dans son domaine, et connut un vif succs ˆ travers le XVIIIe sicle. 2) Premire Ždition en franais du traitŽ de Edmund Stone, publiŽ en 1730 en anglais. Trs rare. 1) Second edition of this textbook (first edition printed in 1696: Òthe influence of which dominated most of the eighteenth centuryÓ (Boyer). ÒThe ÇAnalyse des infiniment petitsÈ was the first textbook of the differential calculus. The existence of several commentaries on it attests its popularity. ... L'Hospital was a major figure in the early development of the calculus on the continent of Europe. He advanced its cause not only by his scientific works but also by his many contacts, including correspondance with Leibniz, with Jean Bernoulli, and with Huygens. Fontenelle tells us that it was L'Hospital who introduced Huygens to the new calculusÓ (DSB). The ÇAnalyse des infiniment petitsÈ Òincludes the original publication of ideas originated and developed by Leibniz and the Bernoullis. ... (for example) the ninth chapter of this textbook contains what is now know as ÔL'Hospital's ruleÕ for finding the limiting value of a fraction whose numerator and denominator tend to zero; however, this rule was actually the work of Bernoulli, who included it in his letter to L'Hospital of 22 July 1694Ó (Norman). 2) Very rare first French edition, first published in 1730 in the English language. ÔEdmund Stone was born sometime around 1700, the son of a gardener of the Duke of Argyll. He first learned to read at the age of eight and was completely self-taught. He mastered both French and Latin in order to read mathematical works. At the age of eighteen, Stone came to the attention of the duke when the latter found Stone's copy of Newton's Principia in his grounds and assumed that it had been removed from his library. Impressed by the young man, the duke "placed him in a position which afforded him opportunity to pursue his studies". Stone translated works of the Marquis de l'Hospital on conic sections (1720) and Bion on scientific instruments (1723). In 1725, he was admitted as a fellow of the Royal Society in 1725 and published A New Mathematical Dictionary. In 1730, he published The Method of Fluxions, both direct and Inverse: the first part is a translation and reworking in Newtonian notation of De l'Hospital's Analyse des infinement petits (in fact, written by Johann Bernoulli), and the second part is Stone's own. In 1736, he independently found two species of lines of the third order which had been overlooked by Newton and Stirling, but these had been discovered by others a few years earlier. He also published some other mathematical works. Following the death of the Duke of Argyll in 1743, Stone's situation deteriorated and he spent the latter part of his life in povertyÕ. Article on Edm. Stone by: Alex D D Craik, University of St Andrews. Please notify before visiting to see a book. Prices are excl. VAT/TVA (only Switzerland) & postage. Barbier I/167f; DSB VIII/304-5; Poggendorff I/1146-7; Norman Collection 1345; cf. Cantor III/222 ff. und 244 ff.; Honeyman Collection 2006-7; Boyer 460-1; Struik 312-3; Kline 383; Hoefer NBG XXI/101ff; QuŽrard: La France LittŽraire IX, 271; Poggendorff 1/II 1018.
