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ACADÉMIE ROYALE DES SCIENCES || FANTET DE LAGNY, Thomas. Analyse générale ou méthodes nouvelles pour résoudre les problèmes de tous les genres et de tous les degrez à l'infini.
Mémoires de l'Académie Royale des Sciences. Depuis 1666 jusqu'à 1699. Tome XI. 

Paris, Compagnie des Libraires, 1733.

Un volume in quarto (256x188 mm), (2)-xxii-612-(12) pages.  reliure : Plein veau marbré de l'époque, dos à cinq nerfs orné et doré portant la pièce de titre, tranches rouges. Mors fendillés aux extrémités. Découpe sur 1 cm en haut de la page de titre pour supprimer un exlibris manuscrit, sans atteinte au texte. Quelques feuillets roussis.

Édition originale du traité de Thomas Fantet de Lagny, publié comme le tome XI des Mémoires de l'Académie Royale des Sciences.
On trouve un autre tirage à la même date, avec une page de titre différente, portant le titre du traité et non celui des mémoires de l'académie, le reste de l'ouvrage étant ensuite identique.

références: DSB [VII, p.558/559 : "(Lagny) was a tutor in the Noailles family and the author of a study on coinage. His 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 one 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.

In this regard his meeting with the inventor of the differential and integral calculus is interesting, but it was only the momentary crossing of very interesting, but it was only the momentary crossing of very different paths. Lagny generally confined himself to numerical computation and practical solutions, notably the goniometry necessary for navigators. Nevertheless, his works retain a certain didactic value."].

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