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Traité des propriétés projectives des figures. Ouvrage utile à ceux qui s'occupent de la géométrie descriptive et d'opérations géométriques sur le terrain -- BON EXEMPLAIRE -- 2 TOMES reliés en un volume (COMPLETE SET)
P., Gauthier-Villars, 1865/1866, 2 tomes reliés en un volume in 4, demi-maroquin marron à coins (reliures postérieures), (petites taches brunes sans gravité au dos de la reliure), T.1 : 32pp., 428pp., 12 planches dépliantes, T.2 : 8pp., 452pp., 6 planches dépliantes
---- BON EXEMPLAIRE ---- Deuxième édition REVUE, CORRIGEE et AUGMENTEE D'ANNOTATIONS NOUVELLES (AUGMENTEE D'UN VOLUME ---- "THE FIRST BOOK WHOLLY DEVOTED TO PROJECTIVE 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... Poncelet's geometric work marks the first major step toward the elaboration of the fundamental theories of modern geometry". (DSB XI pp. 79/80)**6477/ARB6-4270/N5AR
Leçons sur la GEOMETRIE DE POSITION. Première partie
P., Dunod, 1881, un volume in 8 relié en demi-chagrin vert (reliure de l'époque), 12pp., 256pp., figures dans le texte
---- BEL EXEMPLAIRE ---- Première partie seule ---- Th. REYE fut professeur à l'Université de Strasbourg ---- "REYEwas one of the leading gEometers of his time. His name is linked to the axial complex of a second-degree surface and he generalized the polarity theory of algebraic curves and surfaces, introducing the concept of apolarity..." (DSB XI pp. 389-390)**8953/N6DE
Traité de géométrie analytique A DEUX DIMENSIONS. SECTIONS CONIQUES contenant un exposé des méthodes les plus importantes de la géométrie et de l'algèbre modernes. Ouvrage traduit de l'anglais par MM. H. Résal et V. Vaucheret
P., Gauthier-Villars, 1897, un volume in 8 relié en demi-chagrin marron (reliure de l'époque), (2), 24pp., 694pp.
---- Troisième édition française ---- "When Salmon joined the staff of Trinity College in 1841, its mathematical school was already internationally known... There was a strong bias toward synthetic geometry in the school, and it was in this field that Salmon began his research work, although he shortly became interested in the algebraic theories... He played an important part in the applications of the theory of invariants and covariants of algebraic forms to the geometry of curves and surfaces... His chief fame as a mathematician, however rests on the series of textbooks that appeared between 1848 and 1862. These four treatises on conic sections, higher plane curves, modern algebra, and the geometry of three dimensions not only gave a comprehensive treatment of their respective fields but also were written with a clarity of expression and an elegance of style that made them models of what textbook should be... They remained for many years the standard advanced textbooks in their respective subjects". (DSB XII pp. 86/87)**4649/N7DE-4648/CAV.E2-7396/CAV.E3
Traité de géométrie analytique A TROIS DIMENSIONS. Lignes et surfaces du premier et du second ordre. Théorie générale des surfaces. Courbes gauches et surfaces développables. Familles de surfaces. Traduit de l'anglais par O. Chemin -- PREMIERE EDITION FRANCAISE -- BEL EXEMPLAIRE -- 3 TOMES reliés en un volume (COMPLETE SET)
P., Gauthier-Villars, 1882/1891, 3 TOMES reliés en 1 volume in 8, demi-chagrin marron, dos orné de fers et filets dorés (reliure de l'époque), T.1 : 17pp., 336pp., T.2 : 10pp., 295pp., T.3 : 8pp., 220pp.
---- PREMIERE EDITION FRANCAISE ---- BEL EXEMPLAIRE ---- "When Salmon joined the staff of Trinity College in 1841, its mathematical school was already internationally known... There was a strong bias toward synthetic geometry in the school, and it was in this field that Salmon began his research work, although he shortly became interested in the algebraic theories... He played an important part in the applications of the theory of invariants and covariants of algebraic forms to the geometry of curves and surfaces... His chief fame as a mathematician, however rests on the series of textbooks that appeared between 1848 and 1862. These four treatises on conic sections, higher plane curves, modern algebra, and the geometry of three dimensions not only gave a comprehensive treatment of their respective fields but also were written with a clarity of expression and an elegance of style that made them models of what textbook should be... They remained for many years the standard advanced textbooks in their respective subjects". (DSB XII pp. 86/87)**4646/8342/N6AR-8343/N7AR
Traité de géométrie analytique. COURBES PLANES destiné à faire suite au traité des sections coniques, traduit de l'anglais par O. Chemin et suivi d'une étude sur les points singuliers par G. HALPHEN -- PREMIERE EDITION FRANCAISE -- BEL EXEMPLAIRE
P., Gauthier-Villars, 1884, un volume in 8 relié en demi-chagrin marron, dos orné de fers dorés (reliure de l'époque), 23pp., 667pp., demi-chagrin marron, dos orné de fers dorés
---- PREMIERE EDITION FRANCAISE ---- BEL EXEMPLAIRE ---- "When Salmon joined the staff of Trinity College in 1841, its mathematical school was already internationally known... There was a strong bias toward synthetic geometry in the school, and it was in this field that Salmon began his research work, although he shortly became interested in the algebraic theories... He played an important part in the applications of the theory of invariants and covariants of algebraic forms to the geometry of curves and surfaces... His chief fame as a mathematician, however rests on the series of textbooks that appeared between 1848 and 1862. These four treatises on conic sections, higher plane curves, modern algebra, and the geometry of three dimensions not only gave a comprehensive treatment of their respective fields but also were written with a clarity of expression and an elegance of style that made them models of what textbook should be... They remained for many years the standard advanced textbooks in their respective subjects". (DSB XII pp. 86/87)**4645/N6AR-8344/N7AR
Traité de géométrie analytique. SECTIONS CONIQUES contenant un exposé des méthodes les plus importantes de la géométrie et de l'algèbre modernes traduit de l'anglais par H. Resal et V. Vaucheret -- PREMIERE EDITION FRANCAISE
P., Gauthier-Villars, 1870, un volume in 8 relié en demi-basane noire, dos orné de fers et filets dorés (reliure de l'époque), (coins légèrement émoussés), 25pp., 564pp.
---- PREMIERE EDITION FRANCAISE ---- "When Salmon joined the staff of Trinity College in 1841, its mathematical school was already internationally known... There was a strong bias toward synthetic geometry in the school, and it was in this field that Salmon began his research work, although he shortly became interested in the algebraic theories... He played an important part in the applications of the theory of invariants and covariants of algebraic forms to the geometry of curves and surfaces... His chief fame as a mathematician, however rests on the series of textbooks that appeared between 1848 and 1862. These four treatises on conic sections, higher plane curves, modern algebra, and the geometry of three dimensions not only gave a comprehensive treatment of their respective fields but also were written with a clarity of expression and an elegance of style that made them models of what textbook should be... They remained for many years the standard advanced textbooks in their respective subjects". (DSB XII pp. 86/87)**4651/N7DE-4650/CAV.E2
Géométrie de direction. Application des coordonnées polyédriques. Propriété de dix points de l'éllipsoide, de neuf points d'une courbe gauche du quatrième ordre, de huit points d'une cubique gauche -- EDITION ORIGINALE -- TRES BEL EXEMPLAIRE
P., Gauthier-Villars, 1869, un volume in 8 relié en demi-chagrin marron, couvertures conservées (reliure de l'époque), 20pp., 523pp.
---- EDITION ORIGINALE ---- TRES BEL EXEMPLAIRE ---- "SERRET diffusa et clarifia la théorie des groupes de Galois..." ---- SERRET belonged to that group of mathematicians in Paris who greatly advanced differential calculus during the period 1840-1865, and the fundamental formulas in the theory of space curves bear his name and that of J.F. Frenet. Serret also worked in number theory, calculus, mechanics and astronomy and wrote several popular text-books including Cours d' algèbre supérieur...". (DSB XII pp. 318/319) ---- Cajori ---- Triangles et tétraèdres conjugués - Quadrilatères et hexaèdres conjugués - Quadrangles et octaèdres conjugués - Propriété de huit, de neuf points associés - Propriété de huit, de neuf plans associés - Propriétés générales des courbes et des surfaces du second degré - Théorèmes et problèmes - etc**4753/N3
Théorie nouvelle géométrique et mécanique des lignes à double courbure -- EDITION ORIGINALE -- BEL EXEMPLAIRE
P., Mallet-Bachelier, 1860, un volume in 8 relié en demi-basane verte, dos orné de filets dorés (reliure de l'époque), 20pp., 276pp.
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE ---- "Serret diffusa et clarifia la théorie des groupes de Galois..." ---- "Serret belonged to that group of mathematicians in Paris who greatly advanced differential calculus during the period 1840-1865, and the fundamental formulas in the theory of space curves bear his name and that of J.F. Frenet. Serret also worked in number theory, calculus, mechanics and astronomy and wrote several popular text-books including Cours d' algèbre supérieur...". (DSB XII pp. 318/319) ---- Cajori ---- Propriétés descriptives communes à toutes les lignes à double courbure - Eléments de géométrie sphérique infinitésimale - Des divers éléments différentiels et de diverses grandeurs que l'on peut avoir à considérer en chaque point d'une ligne à double courbure quelconque - Des lignes tracées sur une surface de révolution ; sections planes, lignes et cercles géodésiques - etc** N3+ARB1-4754.6423
Grundlagen der abzählenden geometrie -- EDITION ORIGINALE
Hanovre, Wolfenbutteler, 1948, un volume in 8, broché, 123pp.
---- EDITION ORIGINALE ---- "From, 1898 until his death, Severi published more than 400 books and papers on mathematics, history of science, education and philosophy. His most outstanding contributions, however, were in the field of algebraic geometry. Severi acquired the taste for elegant synthetic arguments while studying with Segre at the University of Turin, from which he graduated in 1900 under Segre's guidance. At Turin he became interested in algebraic and enumerative problems and developed a broad geometric eclecticism and a formidable dexterity in the projective geometry of higher spaces... Severi perfected the theory of birational invariants of algebraic surfaces and created an analogous (but more complex) theory for algebraic varieties of arbitrary dimension... Algebraic geometry has undergone several revoutionary changes in the twentied century that have led to many schools and to several widely differing methods of approach. Severi's work remains not merely a monument to him but also a valuable source from which all algebraic geometers continue to draw ideas...". (DSB XII pp. 330/332)**4768/CAV.G2
Geometrie der dynamen. Die zusammensetzung von kräften und verwandte gegenstände der geometrie -- EDITION ORIGINALE -- 2 VOLUMES (COMPLETE SET)
Leipzig, Teubner, 1901/1903, 2 volumes in 8, brochés, (le dos du tome 1 est cassé, petit manque de papier à la partie inférieure du premier plat de couverture du tome 1)603pp.
---- EDITION ORIGINALE ------ "Study was largely self-taught in mathematics and his writings reflect a higher individual way of thinking. In his long work Geometrie der dynamen , Study made a particularly thorough examination of Euclidean kinematics of rigid bodies". (DSB XIII p. 124)**4908/L7AR
