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Pleine toile verte moderne. Un volume in-8 (230x154 mm), (2)-132 pages et 9 planches. Dos légèrement passé. Premier édition en français de cet important ouvrage publié en Russe, entre 1835 et 1838, dans la revue des Mémoires scientifiques de Kazan. Lobachevsky est considéré (avec Bolyai) comme le fondateur de la géométrie non Euclidienne. C'est en 1826, qu'il présente pour la première fois ses conceps sur la géométrie non Euclidienne à l'université de Kazan. Cet article ne sera pas publié et il faudra attendre 1829-1830 pour que sa théorie soit pour la première fois publiée sous le titre "sur les fondations de la géométrie". Et donc entre 1835 et 1838 qu'il publie ses "Nouveaux principes de la géométrie avec une théorie complète des parallèles" en Russe qui est considéré comme étant sa meilleure publication sur la géométrie non Euclidienne. "It is from this memoir that one can draw the most completely information on the global scientific, worldoutlook and philosophical views of this great mathematician" (Popov). Rare première traduction en français de de texte majeur pour l'histoire des mathématiques. References : Popov ['Lobachevsky Geometry and Modern Nonlinear Problems', p.4 : "This is the largest work of N.I. Lobachevsky, which sums up in detail, and in the necessary cases develops, the results of his earlier work. It is from this memoir that one can draw the most completely information on the global scientific, worldoutlook and philosophical views of this great mathematician. In this work the fundamental notions of geometry are discussed in detail: adjacency, cuts and the definition of the notions of the notion of point connected with them, lines, surfaces, and also the basic theorems on perpendicular straight lines and planes, relations in triangles, linear and angular measures, measuring of areas, an others. Starting from more general fundamental premises (compared with earlier works), a theory of parallel straight lines is constructed in detail. The fundamental equations of the imaginary geometry are introduced. As a whole, in this work Lobachecsky establishes the precise axiomatic foundations of geometry and defines the principles of its logical development, accompanying them with the corresponding foundational results in each of the fields he considered"], Kline [p. 873 : "He presented his views on the foundations of geometry in a paper before the department of mathematics and physics of the University in 1826. However, the paper was never printed and was lost. He gave his approach to non-Euclidean geometry in a series of papers, the first two of which were published in Kazan journals. The first was entitled " On the Foundations of Geometry" and appeared in 1829-30. The second, entitled "New Foundations of Geometry with a Complete Theory ol Parallels" (1835-37), is a better presentation of Lobatchevsky's ideas"]. ___________________________________________________________________________________ ______________________________ENGLISH_DESCRIPTION : Modern full green cloth. 8vo (230x154 mm), (2)-132 pages and 8 plates. Spine a little faded. First edition in french of this the "New Foundations of Geometry with a Complete Theory ol Parallels". References : Popov ['Lobachevsky Geometry and Modern Nonlinear Problems', p.4 : "This is the largest work of N.I. Lobachevsky, which sums up in detail, and in the necessary cases develops, the results of his earlier work. It is from this memoir that one can draw the most completely information on the global scientific, worldoutlook and philosophical views of this great mathematician. In this work the fundamental notions of geometry are discussed in detail: adjacency, cuts and the definition of the notions of the notion of point connected with them, lines, surfaces, and also the basic theorems on perpendicular straight lines and planes, relations in triangles, linear and angular measures, measuring of areas, an others. Starting from more general fundamental premises (compared with ea. Seller Inventory # M2868
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Bibliographic Details
Title: Nouveaux principes de la géométrie avec une ...
Publisher: Hayez, Bruxelles
Publication Date: 1901
Binding: Couverture rigide
Condition: Très bon
Edition: Edition originale.
