平面上两条光滑曲线间的无滑动的滚动

本文利用平面曲线基本定理的复数形式积分公式建立平面滚线方程,由此证明著名的滚线定理,再导出一些常见的滚线方程,最后讨论它和刚体平面平行运动的关系。

Rolling without sliding Between Two smooth Curves on a Plane

The complex form of the integral formula derived from the plane curve theorem is used in the paper to establish the plane rolling curve equations, thus proving the well-known rolling theorem. Some common rolling curve equations are then derived. Finally their relation to the plane parallel motion of a rigid body is reviewed.