球面曲线一个充要条件的初等证明

A Primary Proof of a Necessary and Sufficient Condition for Spherical Curves

本文用初等方法证明了1972年由Wong Y.C、给出的用曲率和挠率刻画球面曲线特征的一个定理.

In 1072, Wong Y.C.gave a theorem of describing the characterization of spherical curves by curvature and torsion. This has been best rusult up to now. But in the proving of the theorem, he used a proposition he made early in 1963 and a very rare method. In this paper, a direct' primary proof of this theorem is given.