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Analyse démontrée ou la méthode de resoudre les problêmes de mathématiques, et d'apprendre facilement ces sciences; Expliquée & démontrée dans le premier Volume, & appliquée, dans le second, à découvrir les proprietés des figures de la Geometrie simple & composée ; à resoudre les Problêmes de ces sciences & les Problêmes des sciences Physico-mathématiques, en employant le calcul ordinaire de l'Algebre, le calcul differentiel & le calcul integral ; Ces derniers calculs y sont aussi expliqués & démentrés. Dediée a Monseigneur le Du de Bourgogne [Charles-René Reynaud (or Reyneau). Tome I. [Demonstrated analysis or the method of solving mathematical problems, and of easily learning these sciences; Explained and demonstrated in the first Volume, and applied, in the second, to discover the properties of the figures of simple and composite Geometry; to solve the Problems of these sciences and the Problems of the Physico-mathematical sciences, by using the ordinary calculation of Algebra, the differential calculus and the integral calculus; These last calculations are also explained and disproved. Dedicated to Monseigneur the Duke of Burgundy [Charles-René Reynaud (or Reyneau). Volume I] Paris: Jacque Quillau, 1708. Hardback, full speckled calf, raised bands, with gilt-blocked title and decoration to spine. Quarto/4to, measures around 7 7/8" x 10" x 1 5/8", xxiv + 486 pp and two-page list of corrigenda. Extensive scuffing and wear to binding with some loss to leather at head and tail of spine, a little to top of hinge corners of boards and more so to lower fore-edge of front board. Title label also missing, although gilt title lettering itself can still partially be seen. Rubbing at edges and on hinges. Some cracking to outer hinges and extensively to inner hinges whereby daylight can be seen through them but boards are still attached. Otherwise, reasonably firm. Bumped and torn corners. Speckled page edges which are browned, scuffed and otherwise marked, especially to upper and lower edges. A little puckering, tearing and staining to pastedowns and endpapers, with marking. Heavy marking to title page and previous owner inscription to top in ink, with name of author written in pencil towards bottom. The odd dog-eared page corner. A little marking to page surfaces throughout but generally reasonably clean, no underlining, marginalia, etc. A scarce first edition copy of one of the earliest calculus textbooks and a work of some significance in the field. See pictures for further information.Charles-René Reynaud (or Reyneau), (1656, Brissac ? 24 February 1728, Paris) was a French mathematician. A priest of the Oratory of Saint Philip Neri, father Reyneau was successively professor of philosophy at Toulon and Pézenas, and then of mathematics at the college of Angers. He was a member of the Académie des sciences, belles-lettres et arts d'Angers and free associate of the French Academy of Sciences. [Source: Wiki]Reyneau was a priest who served as a professor of philosophy at Toulon and Pezenas, and then as professor of mathematics at the College of Angers. While he made no significant discoveries in the field of mathematics, Reyneau had a talent for explicating new discoveries in mathematics. His most important work, the Analyse demontree, was a popular textbook in the early 18th century, and was the book used by Jean le Rond d'Alembert to learn the fundamentals of the subject. In it Reyneau describes, explains, and demonstrates the main theories found in the works of Leibniz, Newton, Descartes, Bernoulli, and other pioneering mathematicians of the day. [Source: Jeff Weber Rare Books] xxiv, 486 pp.
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