Euler齐次函数定理的一个应用

An Example of Using Euler's Theorem of Homogeneous Functions

锥面方程的齐次性定理是空间解析几何中的重要定理,但是直至1984年此定理的证明均依赖于锥面必存在一条平面准线,而此依据恰是错误的。本文利用Euler齐次函数定理给出定理的分析证明。

One of the important theorems in space analytic geometry is the theoremof homogeneity of the equation of cone. The proof of which depended upona wrong proposition until 1984 that there would exist a plane criterion curveon the cone.This article gives an analysis and proof of the theorem using Euler's theorem of homogeneous functions.