The book offered to the reader, written by the famous French mathematician and mechanic G. Koriolis, explores one of the most interesting problems in the dynamics of a solid - the problem of the movement of a ball on a plane under all kinds of initial conditions, with blows of various strengths applied by a cue at different points of the ball and in different directions. The book consists of two sections. The first gives a statement of the foundations of the theory and constructions explaining the movement of the balls. The second outlines the rules and constructions resulting from this theory. Coriolis's analytical solutions are highly witty, graceful, and comparatively elementary. They are quite accessible to the reader who is familiar with the dynamics of the solid body in the volume of the course of non-mechanical specialties of universities.