Поверхности качения сферы внутри цилиндра

Surfaces of rolling the sphere in the cylinder

In the article there is investigated the geometry of the surfaces received by the points of the sphere which is rolled without sliding in the cylinder. The kinematics of the moving of the sphere on the generating circle of cylinder and along the cylinder are studied in order to received the equations of the of the surfaces organized by these moving. The three classes of the surfaces of the rolling of the sphere in the cylinder are investigated/ The drawings of surfaces of those classes are shown.