摘要
本文的主要结果是:1)利用Cayley-Menger行列式的推广形式得到与杨路、张景中的高维余弦定理相应的高维正弦公式与高维正切公式;2)与F.Erikson的单形正弦定理相应的单形次正弦定理.
The main results we have given in this paper are to present higher-dimentional sine and tangent formulas by using CM determinants and to prove the law of inferior sines for n-simplices as related to the law of sines for n-simplices.
关键词
单形
行列式
单形二面角
n-simplices
Cayley-Menger determinant
dihedral angle