关于单纯形的两个三角等式及其应用

A Pair of Trigonometric Equalities of Simplices and Its Application

对于n维欧氏空间E^n中的单纯形,本文主要结果是:(1) 建立了与单纯形顶点相邻的诸二面角和诸二棱角相关的一对三角等式;(2) 根据这一等式可得到高维余弦公式及单纯形正弦定理。

This paper gives a pair of trigonometric equalities of simpliees which show a relation between dihedral angles and diedge angles of simplices. By means of the two equaIities, some useful results of n-simplices are obtained.