(Paris, Jean Boudot, 1711). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1709"". Pp. 419-461.
First printing of one of Rolle's main papers on analytical geometry. Rolle was perhaps the first to use the term ""analytical geometry"" in print in the sense of the term used today. ""By analytic geometry Rolle understood research of one or the other of two types: in the one, geometric questions are transformed into problems of algebra, and in the other, one is occupied only with the graphical solutions of these problems. That is his view was thoroughly Cartesian.""(Boyer ""History of Analytic geometry"", pp. 155.
"ROLLE, (MICHEL). - DISCOVERING PROBLEMS IN CARTESIAN ANALYTICAL GEOMETRY.
Reference : 45238
(1709)
(Paris, Jean Boudot, 1709 a. 1711). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1708"" and Annèe 1709. Pp. 339-365 a. 1 folded engraved plate + pp. 320-350 a. 1 folded engraved plate.
First printing of two importent papers in the further development of Cartesian analytical geometry.""The irrepressible Michel lRolle...in the Memoires of the Academie des Sciences for 1708-1709 (the papers offered), raised doubts about the correctness of the Cartesian graphical solution of equations, as he had about the validity of the calculus of L'Hospital. He pointed out that to solve f(x)= 0, one arbitrarily chooses a curve g(x,y) = 0, and, on combining it with f(x) = 0, one obtains new curves h(x,y) = 0, the intersection of which with g(x,y) = 0 furnish the solution of f(x) = 0"" and he realized that in this way extraneous solutions may be introduced. Imaginary branches further comp0licated the problem, and although Rolle sawthe difficulties, he was unable to solve them.""(Boyer ""History of Analytical Geometry"", p. 155).
Revue d'Histoire des Sciences - François de Gandt sur Newton - Michel Blay sur Michel Rolle et George Berkeley - Sylvain Zac sur Salomon Maïmon - Charles C. Gillispie - Pierre Costabel sur Kurt Vogel
Reference : 101030
(1986)
Presses Universitaires de France - P.U.F. , Revue d'Histoire des Sciences Malicorne sur Sarthe, 72, Pays de la Loire, France 1986 Book condition, Etat : Moyen broché, sous couverture imprimée éditeur blanche, titre en bleu et noir grand In-8 1 vol. - 93 pages
quelques figures dans le texte en noir et blanc 1ere édition, 1986 Contents, Chapitres : 1. Articles : 1.1. François de Gandt : Le style mathématique des Principia de Newton - 1.2. Michel Blay : Deux moments de la critique du calcul infinitésimal : Michel Rolle et George Berkeley - 1.3. Sylvain Zac : Noumène et différentielle dans la philosophie de Salomon Maïmon - 2. Documentation : Charles C. Gillispie : Le Fonds Seguin à Privas - 3. Nécrologie : Pierre Costabel : Kurt Vogel, 1888-1985 - 4. Informations, analyses Le haut de la couverture est un peu gondolé, tâche sombre sur la tranche supérieur affectant le haut des pages, principalement la marge supérieure, le texte reste propre, papier légèrement jauni, cela reste un bon exemplaire de lecture - paginé 196 à 288