摘要
根据单形顶点角的定义,可得下列命题: 命题 设α<sub>i</sub>为E<sup>n</sup>中n维单形的第i个界面所对应的顶点角,V是由顶点集={P<sub>o</sub>,…,P<sub>n</sub>}所支撑的平形多面体的体积,V<sub>i</sub>是第i个界面的顶点集{P<sub>o</sub>,…,P<sub>i-1</sub>,P<sub>i+1</sub>,…,P<sub>n</sub>
Sine theorems in E' are first established. By means of the first one, a sine property is proved, which leads to some results for higher dimensional spaces in [2] and [3] (i.e. Corollaries, 2、3、4、5) and Some additional new results (i.e. Corollaries. l、6、7、8).
