Olinde Rodrigues'Paper of 1840 on Transformation Groups

摘要: It is this paper which will be discussed. In it, as the title indicates, he studied motions (deplacements) of a rigid body (systeme solide) in three dimensional space independently any dynamical considerations. He began by giving complete description synthetic terms, establishing successively that fixed once non-collinear points have been determined; if two are motion rotation about an axis through those points; translations when composed give translation independent order composition and can found 'loi du polygone des translations' (p. 383) equal to infinitesimal perpendicular direction but situated at infinite distance. RODRIGUES described resultant