L’HOSPITAL Guillaume François Antoine, marquis de Analyse des infiniment petits, pour l’intelligence des lignes courbes.

Sotheran, 10792.

Deuxième édition du premier livre en français sur le calcul différentiel. Guillaume de L'Hospital (1661-1704) était proche de Huygens et de Leibniz.

"It was through his wide network of acquaintances in various European countries that Leibniz put into effect all his strategies for the spread of his analysis.  … In France it was through the Oratorian circle of Nicolas Malebranche (1638–1715) that Johann Bernoulli introduced in 1691 the Leibnizian calculus. His lessons to the Marquis de l’Hôpital led to the draft of the first treatise of differential calculus … The spread and acceptance of the Leibnizian calculus was transferred in this way to the wide public, through the manuals and textbooks written for students at universities or ecclesiastical colleges” (Landmark Writings in Western Mathematics, p.56).

On trouve relié à la suite :

VARIGNON. Eclaircissemens sur l'analyse des infiniment petits. Paris, Rollin, 1725. In-4 de 4 ff.n.ch., 118 pp., 1 f.n.ch., 6 planches. DSB, XIII, p.584; Sotheran, I, 5040.

Édition originale de cet ouvrage posthume.

Varignon prit vigoureusement parti pour l'Hôpital dans la querelle des infiniment petits qui agita l'Académie des Sciences.

"Ses éclaircissements mirent désormais à l'abri de toute contestation la découverte de Leibniz et de Newton" (Biog. gén.).

"Fully occupied by his teaching duties and his responsibilities as an academician, Varignon had no leisure to prepare works for publication. From the papers he left at his death, most of which are now lost, his disciples assembled several posthumous works: Nouvelle mécanique, Eclaircissements sur l'analyse des infiniment petits (1725). His intense pedagogical activity, extending over more than thirty years, constituted his chief contribution to the progress of science and was the source of his fame. … His acceptance of the new procedures occurred between 1692 and 1695, and he was among those who gave the most favorable reception to the publication of L'Hospital’s Analyse des infiniment petits. The Eclaircissemens is composed of critical notes that Varignon, as professor, considered necessary in presenting L'Hospital’s pioneering work to young mathematicians” (DSB).

Cachet du lycée d'Auch et ex-libris J. Cassinet.