| 关于单形中面与二面角平分面面积的不等式 |
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| 引用本文： | 杨世国. 关于单形中面与二面角平分面面积的不等式[J]. 鲁东大学学报, 2004, 20(3): 168-170 |
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| 作者姓名： | 杨世国 |
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| 作者单位： | 安徽教育学院数学系 安徽合肥230061 |
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| 基金项目： | 安徽省教育厅自然科学基金项目(2004kj103) |
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| 摘 要： | 讨论了单形中面面积及二面角平分面面积和单形的外接球半径与内切球半径之间的关系,建立了相关的两个几何不等式,并应用它改进了n维Euler不等式.
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| 关 键 词： | 单形 中面 平分面 面积 不等式 |
| 文章编号： | 1004-4930(2004)03-0168-03 |
| 修稿时间： | 2004-03-02 |
Some inequalities for areas of the middle sections and the bisection planes of dihedral angles of a simplex |
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| YANGShi-guo. Some inequalities for areas of the middle sections and the bisection planes of dihedral angles of a simplex[J]. Ludong University Journal (Natural Science Edition), 2004, 20(3): 168-170 |
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| Authors: | YANGShi-guo |
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| Abstract: | The relations about the areas of the middle sections and the bisection planes of dihedral angles of a simplex and the circumradiu and inradius of the simplex are discussed,and some related inequalities are established.By using the inequalities,the n-dimensional Euler inequality is improved. |
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| Keywords: | simplex middle section bisection plane area inequality |
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