两个单形混合顶点角的广义正弦定理及应用(英文) |
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引用本文: | 王文,杨世国,齐继兵.两个单形混合顶点角的广义正弦定理及应用(英文)[J].数学季刊,2015(2):190-198. |
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作者姓名: | 王文 杨世国 齐继兵 |
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作者单位: | School of Mathematics and Statistics, Hefei Normal University |
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摘 要: | Some related problems of two n-dimensional simplices which are on an(n- 1)-dimensional hypersphere are investigated and a sine theorem of the k-dimensional mixed vertex angles which are defined in this paper is given. This result is a generalization of the sine theorem established. By using the generalized sine theorem, we present some new interesting geometric inequalities involving the k-dimensional vertex angles of each n-simplex and the k-dimensional mixed vertex angle of two n-simplices. These results can improve some recent results.
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关 键 词: | 正弦定理 单形 vertex simplex inequality generalization Sylvester applying lemma 点角 |
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