77/1873 [Mathematics]. Lagny, T. Fantet de. Analyse générale ou méthodes nouvelles pour résoudre les problèmes de tous les genres & de tous les degrez à l'infini. Paris, la Compagnie des Libraires, 1733, 1st ed., XXII,612,(12)p., contemp. calf, richly gilt spine w. red mor. letterpiece.

- Title-pages (sl.) browned; upper hinge weak. Joints splitting; top of spine dam.; covers sl. chafed.

= Published in: Memoires de l'Académie Royale des Sciences, depuis 1666 jusqu'à 1699, vol.XI. Colophon is dated 1732, making this a first ed. DSB VII, p.559: "(Lagny's) collaboration with L'Hospital and his first publication concerning the approximate calculation of irrationals (1690-1691) show that he was a good mathematician. (...) Lagny's work belonged to a type of computational mathematics at once outmoded and unappreciated. He lived during the creation of integral calculus without being affected by it. While the idea of the function was gaining dominance, he continued to approach mathematical problems - both ancient problems such as the solution of equations and new ones such as integration - with the aid of numerical tables. Employing with great skill the property possessed by algebraic forms of corresponding to tables in which the differences of a determined order are constant, he recognized the existence of transcendental numbers in the calculation of series. Lagny made pertinent observations on convergence, in connection with the series that he utilized to calculate the first 120 decimal places in the value of π. He attempted to establish trigonometric tables through the use of transcription into binary arithmetic, which he termed "natural logarithm" and the properties of which he discovered independently of Leipniz".