论文标题
使用Cauchy方法的Euler公式的基本证明
An elementary proof of Euler formula using Cauchy's method
论文作者
论文摘要
使用凯奇（Cauchy）的方法证明欧拉（Euler）众所周知的公式是许多争议的对象。本文的目的是证明Cauchy的方法适用于凸Polyhedra，不仅适用于它们，还适用于表面，例如Torus，投射平面，klein瓶和捏合的圆环。
The use of Cauchy's method to prove Euler's well-known formula is an object of many controversies. The purpose of this paper is to prove that Cauchy's method applies for convex polyhedra and not only for them, but also for surfaces such as the torus, the projective plane, the Klein bottle and the pinched torus.
