‎PONCELET (J.V.)‎
‎Traité des propriétés projectives des figures -- EDITION ORIGINALE -- BON EXEMPLAIRE NON ROGNE DANS SA BROCHURE BLEUE DE L'EPOQUE‎

‎P., Bachelier, 1822, un volume in 4, broché, couverture muette bleue de l'époque (dos habilement restauré), 46pp., 426pp., (1), 12 PLANCHES DEPLIANTES‎

Reference : 8044

‎---- EDITION ORIGINALE ---- BON EXEMPLAIRE non rogné dans sa brochure muette de l'époque ---- "THE FIRST BOOK WHOLLY DEVOTED TO PROJECTIVE GEOMETRY - PONCELET's GEOMETRIC WORK MARKS THE FIRST MAJOR STEP TOWARD THE ELABORATION OF THE FUNDAMENTAL THEORIES OF MODERN GEOMETRY". (DSB) ---- "Traité des propriétés projectives des figures was the first book wholly devoted to projective geometry. In this domain, Poncelet considered himself the successor to Desargues, Blaise Pascal and Maclaurin and the continuator of the work of Monge and his disciples... The distinction Poncelet made between projective and metric properties prefigures the appearance of the modern concept of structure. Among the many original results presented in the Traité are those stating that in complex projective space two non-degenerate conics are of the same nature and have four common points (a finding that led to the discovery of cyclic points, imaginary points at infinity common to all the circles of a plane), and that all quadrics possess (real or imaginary) systems of generatrices. The decisive influence that Traité des propriétés projectives des figures exercised on the development of projective geometry - an influence underestimated by Chasles, Poncelet's direct rival - is brought to light by most commentators, particularly by E. Kotter, who made the most complete analysis of it, but also by A. Schoenflies and A. Tresse, J.L. Coolidge, C.B. Boyer, N. Bourbaki and others...". (DSB XI pp. 79/80)**8044/ARB4 ‎