摘要
本文用新方法讨论解决了n维椭圆空间S^n中若干几何问题。给出了关于n维球面单形的余弦定理、高的公式、内切及外接球半径r,R以及内心I与外心Q间的距离公式。同时将著名的欧拉不等式推广到S^n中。
In this paper, we discuss some geometric problems in n dimensional elliptic space Sn to give the theory of cosine, the formula of highness, inradius, circumradius and distance between inscribed spherical centre and circumscribed spherical centre about n dimensional spherical simplex. Meanwhile, we extend the famous Euler inequality into n the dimensional ellptic space Sn.
关键词
椭圈几何
度量方程
高维余弦定理
elliptic germetry
metric equation
high dimensional theory of cosine.
