Paris, Gauthier-Villars, 1880, in-8, XLII, 586, (3) pages et 12 planches repliées, Demi-chagrin rouge, dos à caissons ornés, tête dorée, Seconde édition, après la première de 1852. Le traité de géométrie de Michel Chasles condense ses travaux portant sur la géométrie projective. Il essaie de généraliser et de développer les notions de géométrie projective développé par Poncelet en 1822, ainsi il introduit la notion de rapport anharmonique et celle d'homographie. Texte fondateur de la géométrie moderne. Bel exemplaire, coiffes légèrement frottées, pâles rousseurs éparses. Couverture rigide
Reference : 76194
Bon XLII, 586, (3) pages et 12
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P., Gauthier-Villars, 1865; un volume in 8 relié en demi-chagrin marron, dos orné de fers dorés (reliure de l'époque), (petit accroc à la coiffe, quelques rousseurs), 11pp., (1), 368pp., 5 planches dépliantes
---- EDITION ORIGINALE ---- Première partie SEULE PUBLIEE ---- "... In 1846 a chair of higher geometry was created for CHASLES at the Sorbone and he remained there until his death... He published highly original work... His work was marked by its unity of purpose and method. The purpose was to show not only that geometry, by which he meant synthetic geometry, had methods as powerful and fertile for the discovery and demonstration of mathematical truths as those of algebraic analysis, but that these methods had an important advantage, in that they showed more clearly the origin and connections of these truths. The methods were those introduced by L. Carnot, G. Monge and V. Poncelet and included a systematic use of sensed magnitudes, imaginary elements, the principle of duality and transformations of figures... Chasles wrote two textbooks for his course at the Sorbonne. The first of these, the Traité de géométrie supérieure is based on the elementary theories of the cross ratio, homographic ranges and pencils and involution... In the case of the cross ratio, which Chasles called the anharmonic ratio, he was anticipated by A. Moebius. However, it was chasles who developed the theory and showed that the use of sensed magnitudes and imaginary elements gives to geometry the freedom and power of analysis...3. (DSB III pp. 212/214)**1190.N2
P., Gauthier-Villars, 1880, un volume in 8, relié en demi-soie noire, dos orné de filets dorés (reliure postérieure), 42pp., 585pp., 12 planches dépliantes
---- Seconde édition. ... In 1846 a chair of higher geometry was created for Chasles at the Sorbone and he remained there until his death... He published highly original work... His work was marked by its unity of purpose and method. The purpose was to show not only that geometry, by which he meant synthetic geometry, had methods as powerful and fertile for the discovery and demonstration of mathematical truths as those of algebraic analysis, but that these methods had an important advantage, in that they showed more clearly the origin and connections of these truths. The methods were those introduced by L. Carnot, G. Monge and V. Poncelet and included a systematic use of sensed magnitudes, imaginary elements, the principle of duality and transformations of figures... Chales wrote two textbooks for his course at the Sorbonne. The first of these, the Traité de géométrie supérieure is based on the elementary theories of the cross ratio, homographic ranges and pencils and involution... In the case of the cross ratio, which Chasles called the anharmonic ratio, he was anticipated by A. Moebius. However, it was chasles who developed the theory and showed that the use of sensed magnitudes and imaginary elements gives to geometry the freedom and power of analysis... . (DSB III pp. 212/214)**6206/N2
Paris Masson & Cie. 1930 In-8 - 17x25cm. Broché.
Quatrième édition, revue et mise à jour par A. Thybaut, inspecteur de l'Académie de Paris, chargé de conférence à la Sorbonne. Ouvrage illustré de nombreuses gravures. Manques sur le premier plat, filmoplast sur le dos, sinon bon exemplaire. Clients Livre Rare Book : Les frais postaux indiqués sont ceux pour la France métropolitaine et la Corse, pour les autres destinations, merci de contacter la librairie pour connaître le montant des frais d'expédition, merci de votre compréhension. Livre Rare Book Customers : The shipping fees indicated are only for France, if you want international shipping please contact us before placing your order, thank you for your understanding.
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Masson et cie. 1930. In-8. Broché. Etat d'usage, Couv. convenable, Coiffe en pied abîmée, Papier jauni. VII + 568 pages - nombreuses figures en nori et blanc dans le texte - coiffes abîmées.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
4e édition revue et mise à jour par A.Thybaut. Classification Dewey : 372.7-Livre scolaire : mathématiques