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E-mail : maille5@wanadoo.fr
Phone number : 01 43 25 51 73Traité de géométrie supérieure -- BEL EXEMPLAIRE
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
Traité des sections coniques faisant suite au traité de géométrie supérieure -- EDITION ORIGINALE --Première partie SEULE PUBLIEE
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
L'enseignement de la géométrie
P., Hermann, 1964, un volume in 8, relié en cartonnage éditeur, (6), 168pp., (5)
---- EDITION ORIGINALE ---- Axiomes d'incidence et d'ordre - Axiomes de structure affine - Axiomes de structure métrique - Les angles - Trigonométrie - Le cercle - L'espace - etc**5732/CAV.E4
Leçons sur la géométrie recueillies et complétées par F. Lindemann, traduites par A. Benoist ---- PREMIERE EDITION FRANCAISE EN PARTIE ORIGINALE -- TRES BEL EXEMPLAIRE -- 3 VOLUMES (COMPLETE SET)
P., Gautier-Villars, 1879-1883, 3 VOLUMES in 8 reliés en demi-basane rouge, dos ornés de filets dorés (reliure de la première moitié du XXe siècle), T.1 : 10pp., (1), 386pp., T.2 : (3), 438pp., (1-errata), T.3 : 8pp., (1), 484pp., (1-errata)
---- PREMIERE EDITION FRANCAISE EN PARTIE ORIGINALE : "M. Lindemann... voulut bien m'avertir que certains passages de l'édition allemande avaient besoin de modifications, et m'adressa successivement un certain nombre de corrections et de changements. Il ne serait pas possible d'indiquer ici tous les passages modifiés ; c'est par la comparaison attentive des deux textes que le lecteur pourra se rendre compte de leurs différences...". (Préface du traducteur, tome 3) ---- TRES BEL EXEMPLAIRE ---- "CLEBSCH held, from 1858 to 1863, the chair of theoretical mechanics at the Polytechnicum in Carlsruhe. The study of Salmon's works led him into algebra and geometry. In 1863, he accepted a position at the University of Giesen, where he worked in conjunction with Paul Gordan. In 1868, CLEBSCH went to Göttingen and remained there until his death. He worked successively at the following subjects : mathematical physics, the calculus of variations and partial differential equations of the first order, the general theory of curves and surfaces, Abelian functions and their use in geometry, the theory of invariants and "Flächenabbildung". He proved theorems on the pentahedron enunciated by SYLVESTER and STEINER ; he made systematic use of "deficiency" as a fundamental principle in the classification of algebraic curves. At the beginning of his career, CLEBSCH had shown how elliptic functions could be advantageously applied to Malfatti's problem. The idea involved therein, viz. the use of higher transcendentals in the study of geometry, led him to his greatest discoveries. Not only did he apply Abelian functions to geometry but conversely, he drew geometry into the service of Abelian functions. His study of curves and surfaces began with the determination of the points of contact of lines which meet a surface in four consecutive points. CLEBSCH's investigaton theron is a most beautiful piece of analysis". (Cajori pp. 313/314) ---- DSB III pp. 313/315 ---- Séries de points et faisceaux de rayons - Les courbes du second ordre et de la seconde classe - Introduction à la théorie des formes algébriques - Théorie généale des courbes algébriques - Les courbes de troisième ordre ou de troisième classe - La géométrie sur une courbe algébrique et sa liaison avec la théorie des intégrales abéliennes - Les connexes **9043/N3
Calcul des triquaternions. Nouvelle analyse géométrique
slnc (circa 1900), un volume in 4, broché, couverture muette de l'époque, pp. 101/219
---- EDITION ORIGINALE**7337/N7DE
Traité élémentaire de géométrie analytique à deux et à trois dimensions, contenant toutes les théories générales de géométrie accessibles à l'analyse ordinaire -- EDITION ORIGINALE -- TRES BEL EXEMPLAIRE
P., Carilian-Goeury, 1843, un volume in 8 relié en demi-chagrin vert, dos orné de caissons à froid, (reliure moderne signée Laurenchet), VIIIpp., 598pp., 3 planches dépliantes, .
---- EDITION ORIGINALE ---- TRES BEL EXEMPLAIRE ---- "Comte's writings exhibit a remarkable scope and breadth, ranging from mathematics to the philosophy of science, from religion and morality to sociology and political economy. What unifies them all is Comte's concern with the problem of knowledge, its nature, its structure and the method of its acquisition. Positivism, the official name Comte adopted for his philosophy, was primarily a methodological and epistemological doctrine... Believing that knowledge could be understood only by examining the growth of knowledge in its historical dimension, he insisted that it is the collective history of thought, rather than the individual psyche, that can illuminate the conditions and limits of human knowledge... It is not knowledge in its static dimension which interested Comte, but the dynamics of man qua knower, the progressive development of knowledge... The most famous result of this approach is Comte's law of three states... It is not only knowledge in general but every branch of knowledge which evolves through these three states... Insofar as Comte identified himself as a natural scientist, it was mathematics which he knew best. Having been a tutor in mathematics for the Ecole Polytechnique in the 1830's, Comte published two straightforward scientific works, the Traité élémentaire de géométrie (1843) and the Traité philosophique d'astronomie populaire (1844). Both were popular works that grew out of his public lectures in Paris... . (DSB III)**1309/ARM1D
Introduction à l'analyse des lignes courbes algébriques -- EDITION ORIGINALE -- BEL EXEMPLAIRE GRAND DE MARGES ET BIEN COMPLET DE SES 34 PLANCHES
Genève, Cramer & Philibert, 1750, un fort volume in 4 relié en plein veau marbré, dos orné de fers dorés, tranches rouges (reliure de l'époque), (quelques feuillets uniformément jaunis, 2 cachets de bibliothèque dans les marges de la page de titre), 23pp., (1pp. blanche), 680pp., 11pp., (1pp. - errata), 33 planches dépliantes numérotées 1 à 33 + 1 planche non numérotée - SOIT 34 PLANCHES DEPLIANTES
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE GRAND DE MARGES (24,5 cm x 19,5 cm) ---- EX-LIBRIS MARQUIS DE FORTIA contrecollé au verso du premier plat de couverture ---- "EULER in his Introduction in analysis (1748) had undertaken a classification of quartic curves, as had also a mathematician of Geneva, Gabriel CRAMER (1704/1752), in his Introduction à l'analyse des lignes courbes algébriques, Geneva 1750. Both based their classifications on the behavior of the curves at infinity, obtaining thereby eight classes which were devided into a considerable number of species... Cramer gave also a classification of quintic curves". (Cajori p. 241) ---- DSB III pp. 459/462**1405/J1-8675/ARB4
Leçons sur les systèmes orthogonaux et les coordonnées curvilignes. Tome 1 SEUL PARU ---- EDITION ORIGINALE
P., Gauthier-Villars, 1898, un volume in 8, broché, couverture imprimée, (légèrement défraichie), (3), 338pp.
---- EDITION ORIGINALE ---- "Prominent in these geometric researches was G. Darboux. He was for a half a century conspicuous as a teacher. By his researches, Darboux enriched the synthetic, analytic and infinitesimal geometries, as well as rational mechanics and analysis...". (Cajori p. 315) - DSB III pp. 559/560**1516
Mémoire sur une classe de surfaces de quatrième classe qui sont corrélatives des surfaces du quatrième ordre à conique double et admettent pour courbe double le cercle de l'infini ---- EDITION ORIGINALE
Sans lieu ni date, un volume in 4, broché, couverture imprimée, (dos renforcé, manque de papier en bordure du premier plat de couverture), 69pp.
---- EDITION ORIGINALE ---- "Prominent in these geometric researches was G. Darboux. He was for a half a century conspicuous as a teacher. By his researches, Darboux enriched the synthetic, analytic and infinitesimal geometries, as well as rational mechanics and analysis...". (Cajori p. 315) - DSB III pp. 559/560**1514/L7DE
Principes de géométrie analytique ---- EDITION ORIGINALE
P., Gauthier-Villars, 1917, un volume in 8, broché, couverture imprimée, 6pp., 519pp.
---- EDITION ORIGINALE ---- "Le nouveau volume que je soumets aujourd'hui au jugement du public mathématique est le résumé des leçons que j'ai faites depuis 1872 soit à l'Ecole Normale Supérieure, soit à la Faculté des Sciences de Paris". (Préface) ---- "Prominent in these geometric researches was G. Darboux. He was for a half a century conspicuous as a teacher. By his researches, Darboux enriched the synthetic, analytic and infinitesimal geometries, as well as rational mechanics and analysis...". (Cajori p. 315) - DSB III pp. 559/560**1508/N7DE-Cav.F2-F4
Sur un problème relatif à la théorie des système orthogonaux et à la méthode du trièdre mobile. Tiré à part des Comptes rendus des séances de l'Académie des Sciences, tome 157 ---- EDITION ORIGINALE ---- TIRE-A-PART (OFFPRINT)
P., 1908, un volume in 4, broché, couverture imprimée, 24pp.
---- EDITION ORIGINALE ---- "Prominent in these geometric researches was G. Darboux. He was for a half a century conspicuous as a teacher. By his researches, Darboux enriched the synthetic, analytic and infinitesimal geometries, as well as rational mechanics and analysis...". (Cajori p. 315) - DSB III pp. 559/560**1507/L7DE
Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal ---- EDITION ORIGINALE -- BEL EXEMPLAIRE RELIE (RELIURES DE L'EPOQUE) -- 4 VOLUMES (COMPLETE SET)
P., Gauthier-Villars, 1887/1896, 4 VOLUMES grand in 8 reliés en demi-chagrin rouge, dos ornés de fers dorés (reliures de l'époque), T.1 : 6pp., 513pp., T.2 : (3), 522pp., T.3 : 8pp., 512pp., T.4 : 8pp., 548pp.
---- EDITION ORIGINALE du cours donné par G. Darboux à la Sorbonne ---- BEL EXEMPLAIRE ---- TOUS LES VOLUMES SONT EN EDITIONS ORIGINALES ---- "In 1878, Darboux became suppléant of Chasles at the Sorbonne and two years later succeeded Chasles in the chair of higher geometry which he held until his death... He was primarily a geometer but had the ability to use both analytic and synthetic methods, notably in the theory of differential equations... Darboux's approach to geometry is fully displayed in his four-volume Leçons sur la théorie générale des surfaces based on his lectures at the Sorbonne. This collection of elegant essays on the application of analysis to curves and surfaces is held together by the author's deep understanding of the connections of various branches of mathematics. There are many applications and excursions into differential equations and dynamics. Among the subjects covered are that applicability and deformation of surfaces, the differential equation of Laplace and its applications and the study of geodesics and of minimal surfaces. Typical is the use of the moving trihedral... ". (DSB III pp. 559/560) - Cajori p. 315 **5950/N3/N7AR-1515/M7AR-1518/CAV.E5-1506/CAV.E5
Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal -- BEL EXEMPLAIRE -- 4 VOLUMES (COMPLETE SET)
P., Gauthier-Villars, 1894/1946, 4 VOLUMES grand in 8, bochés, couvertures imprimées, T.1 (1941) : 6pp., (1), 618pp., T.2 (1915) : (4), 579pp., T.3 (1894) : 8pp., 512pp., T.4 (1946) : (4), 554pp.
---- BEL EXEMPLAIRE du cours donné par G. Darboux à la Sorbonne ---- "In 1878, Darboux became suppléant of Chasles at the Sorbonne and two years later succeeded Chasles in the chair of higher geometry which he held until his death... He was primarily a geometer but had the ability to use both analytic and synthetic methods, notably in the theory of differential equations... Darboux's approach to geometry is fully displayed in his four-volume Leçons sur la théorie générale des surfaces based on his lectures at the Sorbonne. This collection of elegant essays on the application of analysis to curves and surfaces is held together by the author's deep understanding of the connections of various branches of mathematics. There are many applications and excursions into differential equations and dynamics. Among the subjects covered are that applicability and deformation of surfaces, the differential equation of Laplace and its applications and the study of geodesics and of minimal surfaces. Typical is the use of the moving trihedral... ". (DSB III pp. 559/560) - Cajori p. 315 **1515/M7AR-5950/N3/N7AR-1518/CAV.E5-1506/CAV.E5
Méthodologie. Notions géométriques -- EDITION ORIGINALE
P., Gauthier-Villars, 1953; un volume in 8, broché, couverture imprimée, 14pp., 228pp.
---- EDITION ORIGINALE ** (1764-O5AR)
Cours de l'Ecole Polytechnique. Cours de géométrie - Première partie : Géométrie pure - Deuxième partie : Géométrie appliquée ---- EDITION ORIGINALE
P., Gauthier-Villars, 1930, un volume in 4 relié en demi-chagrin rouge, dos orné de fers et filets dorés (reliure de l'époque), (1), 429pp., figures dans le texte
---- EDITION ORIGINALE du cours de géométrie professé par Maurice D'OCAGNE en 1930 à l'Ecole Polytechnique ---- "In 1912, D'Ocagne was appointed professor of geometry at the Ecole Polytechnique. He was elected to the Académie des Sciences (1922). Active both as researcher and teacher, D'Ocagne published a great many articles, mostly on geometry, in mathematical journals and in the Comptes rendus de l'Académie des sciences...". (DSB X p. 170)**1479/N5AR
Questions topologiques de géométrie différentielle
P., Gauthier-Villars, 1936, un volume in 8, broché, 64pp.
---- EDITION ORIGINALE**1838/o7ar
Premiers principes de géométrie moderne
P., Gauthier-Villars, 1912, un volume in 8 relié en demi-basane rouge, dos orné de fers dorés (reliure de l'époque), 8pp., 174pp.
---- Deuxième édition REVUE ET AUGMENTEE PAR R. BRICARD ---- Emploi des imaginaires - Premières notions sur les transformations - Division et faisceaux homographiques - Transformations homographiques et corrélatives - Principales propriétés des coniques - Principales propriétés des quadriques - Etude de quelques transformations - Les relations doublement quadratiques et les correspondances1897/N7DE-1900/CAV.G3-1901/CAV.G3-1902/N3-CAV.F3
Eléments de la géométrie de l'infini-- EDITION ORIGINALE -- BEL EXEMPLAIRE
P., Imprimerie Royale, 1727, un volume grand in 4 (26 cm x 19,5 cm) relié en plein veau marbré, dos orné de fers dorés, tranches rouges (reliure de l'époque), (13), 548pp., 1 PLANCHE DEPLIANTE
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE GRAND DE MARGES ---- Ex-LIBRIS HENRI DE JUVENEL ---- "As a member of the Academy of Sciences, FONTENELLE also wished to do work of his own. In 1727, as a "Suite des mémoires de l'Académie royale des sciences", he published the ELEMENTS DE LA GEOMETRIE DE L'INFINI... He had worked on it for a long time, probably since the period of his preface to the Analyse des infiniment petits. The term élémens is to be understood in the sense of "first principles". According to FONTENELLE, none of the geometers who had invented or employed the calculus of infinity had given a general theory of it. That is what he proposed to do. The work is divided into a preface relating the history of this branch of calculus and into two main parts : Système général de l'infini and Différentes applications ou remarques". (DSB V p. 61)21420/2142/N1
Curiosités géométriques
P., Vuibert, 1938, un volume in 8 relié en cartonnage éditeur, 8pp., 431pp., NOMBREUSES FIGURES DANS LE TEXTE
---- Esquisse de l'histoire de la géométrie élémentaire - Définitions et démonstrations géométriques (théorème de Pythagore, casse-tête géométrique, paralogisme sgéométriques) - La géométrie de mesure (les ancêtres de nos instruments de dessin et de topographie, mesure des polygones, du cercle, division des figures planes, stéréométrie) - Le jeu de carrelage, alvéoles des abeilles - etc**7907/cavE4
Introduction à la théorie de la relativité. Calcul différentiel absolu et géométrie -- EDITION ORIGINALE
P., Gauthier-Vilars, 1923, un volume in 8, broché, couverture imprimée, 10pp., 458pp.
---- EDITION ORIGINALE**2249/CAV.E4+8265/CAV.F4
Applicabilité des surfaces étudiée au point de vue fini
P., Gauthier-Villars, 1928, un volume in 8, broché, 65pp.
---- EDITION ORIGINALE**2269/o7ar
Surfaces ayant une ds (au carré) de Liouville et leurs géodésiques fermées. Antipodes géodésiques. Points géodésiquement symétriques in Annales scientifiques de l'Ecole Normale Supérieure
P., Gauthier-Villars, sans date, un volume in 4, broché, pp. 213/288, br.
---- EDITION ORIGINALE**2271/N7AR
Leçons d'algèbre et de géométrie. Algèbre linéaire, homographie, équations tangentielles. Coniques et quadriques -- EDITION ORIGINALE
P., Gauthier-Villars, 1935/1936, 2 volumes in 8, brochés, T.1 : 8pp., 233pp., T.2 : (2), 211pp.
---- EDITION ORIGINALE ---- "R. Garnier, mathématicien français, professeur de mathématiques générales et de géométrie supérieure à la Sorbonne, membre de l'Académie des sciences, étudia principalement les équations différentielles et en particulier l'équation de Plateau"**2286/N7AR
Leçons d'algèbre et de géométrie. Algèbre linéaire, homographie, équations tangentielles. Coniques et quadriques. Elimination, éléments de géométrie réglée, transformation de Lie, applications à la géométrie conforme -- EDITION ORIGINALE -- 3 VOLUMES (COMPLETE SET)
P., Gauthier-Villars, 1935/1937; 3 volumes in 8, brochés, couvertures imprimées (légèrement défraîchies), T.1 : 8pp., 233pp., T.2 : (2), 211pp., T.3 : 6pp., 280pp.
---- EDITION ORIGNALE ---- R. Garnier, mathématicien français, professeur de mathématiques générales et de géométrie supérieure à la Sorbonne, membre de l'Académie des sciences, étudia principalement les équations différentielles et en particulier l'équation de Plateau**2288/N7DE
Recherches générales sur les surfaces courbes traduites en français suivies de notes et d'études sur divers points de la théorie des surfaces et sur certaines classes de courbes par M. E. Roger -- TRES BEL EXEMPLAIRE
Grenoble, Prudhomme, 1870; un volume in 4 relié en demi-chagrin rouge, couvertures conservées (reliure de l'époque), 160pp.
---- TRES BEL EXEMPLAIRE ---- Seconde édition française ---- "GAUSS's interest in geodesy led him to write his General investigations of curved surfaces, which gave the definitive treatment of the differential geometry of surfaces lying in three-dimentional space. It also advanced the radical concept that a surface is a space in itself - a concept implicating the existence of a non-euclidian geometry". (Norman N 880 latin ed.) - DSB V**5723/N5AR
