平面上Clifford定理的一般证明

Clifford定理作为几何学的一个最基本定理有着广泛的应用,读者通过该定理可以从整体上提高对几何学的认识。学习Clifford定理须从其证明入手,然而,目前很难找到一个通俗且完整的证明。文章利用实交比值引理给出了平面上Clifford定理的一般证明,这一方法对任意n条一般直线都适用。

Proof of Clifford theorem on the plane

Clifford theorem is one of the most important theorems in mathematics.A general picture in Geometry can be obtained by means of this theorem.Therefore,its proof becomes the key for understanding the Clifford theorem.However,we may not able to find a understandable proof cover the whole theorem.This paper gives a proof of Clifford theorem for n general lines in the plane by using the simple real cross ratio lemma.