Ouvrages de mathematique
La Haye, Gosse et Neaulme, 1731. Petit in-4 de (4), 399, (1) pages et 26 planches repliées ; basane fauve de l'époque, dos à 5 nerfs, tranches rouges (reliure frottée, coiffe supérieure restaurée avec manque de cuir). Item #YEG-513
Seconde édition, la première au format in-folio ayant paru en 1694. L'ouvrage constitue le tome troisième des Ouvrages adoptés par l'Académie Royale des Sciences avant son renouvellement en 1699. Roberval (1602-1675) "was one of the leading proponents of the geometry of infinitesimals, which he claimed to have taken directly from Archimedes, without having known of the work of Cavalieri. Moreover, in supposing that the constituent elements of a figure possess the same dimensions as the figure itself, Roberval came closer to the integral calculus than did Cavalieri. The numerous results that he obtained in this area are collected in the 'Divers ouvrages', under the title of 'Traité des indivisibles'. One of the first important findings was, in modern terms, the definite integration of the rational power, which he most probably completed around 1636. The other important result was the integration of the sine, and he formulated by virtue of it the problem of which he was so proud: Trace on a right cylinder, with a single motion of the compass, a surface equal to that of a given square. the most famous of his works in this domain concerns the cycloid" (DSB). L'ouvrage contient les Observations sur la composition des Mouvemens, le projet d'un livre de méchanique, le De recognitione aequationum, le De resolutione geometrica planarum & cubicarum aequationum, un Traité des indivisibles, l'Epistola ad R. P. Mersennum, l'Epistola Evangelistae Torricellii ad Robervallium. Page de titre et planche légèrement roussies.
Price: €1,200.00