高维单形Barto体积公式的推广

Generalization of Barlo′s Volume Formulas for High dimensional Simplex

本文给出单形Ｋ维顶点角的概念，建立单形新的一类体积公式，导出单形Ｋ维顶点角的正弦定理，并获得关于单形Ｋ维顶点角的一个几何不等式．

In this paper, the concept of k dimensional vertex angle of simplex is given, a class of volume formulas of simplex are established, sine theorem of k dimensional vertex angle is derived and a geometric inequality about k dimensional vertex angle is obtained.