Coordonnées parallèles et axiales Méthode de Transformation géométrique et Procédé nouveau de Calcul graphique, déduits de la Considération des Coordonnées parallèles

Abstract

Two fixed points, A, B, called the origin of co-ordinates, are taken, and through them are drawn two parallel straight lines, Au, Bv; these are called axes of co-ordinates (or co-ordinate axes). Lengths, AM, BN, measured on these lines, upwards positive, downwards negative, are the co-ordinates of the straight line MN. So much for the parallel co-ordinates. Take a straight line, Ox, for axis, and on this line a point, O, the pole of the system. A straight line is determined by the angle θ, which it makes with the axis, and by the length λ from O of its intersection with Ox. These are the axial co-ordinates. Elementary details of these two systems are given for the former in Chapters I.–V. (pp. 1–33); for the latter, in Chapters VI.–VIII. (pp. 36–43). Several applications to examples are discussed. Chapters IX., X. (pp. 52–73) are devoted to a “Méthode de transformation géométrique fondée sur la simple comparaison des coordonnées parallèles avec les coordonnées rectangulaires.” The “precédé nouveau” is the closing portion of this chapter (pp. 73–82).

Coordonnées parallèles et axiales. Méthode de Transformation géométrique et Procédé nouveau de Calcul graphique, déduits de la Considération des Coordonnées parallèles

Par Maurice D'Ocagne. (Paris: Gauthiers-Villars, 1885.)