Abstract
1. The motion of a plane, rigid, macroscopic body, moving freely in a plane under the action of any force which depends solely on the position of the body, may be described by the motion of a lineal element composed of the center of gravity and a principal axis of inertia. Of the coordinates (x, y, 0) of the lineal element E, (x, y) denotes also the position of the center of gravity of the body and 0 the angle between a principal axis of inertia and the x-axis. The equations of motion of E are
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