| 向量在几何中的应用 |
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| 引用本文： | 杨世国. 向量在几何中的应用[J]. 数学的实践与认识, 2006, 36(9): 383-385 |
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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,合肥,230061 |
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| 摘 要： | 近期将欧氏平面E2上的正弦定理和余弦定理推广到三维欧氏空间E3中,建立了E3中四面体空间角正弦定理、二面角正弦定理和四面体余弦定理,利用向量给出了三维余弦定理和三维正弦定理的简单证明.
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| 关 键 词： | 正弦定理 余弦定理 四面体 |
| 修稿时间： | 2003-06-14 |
Applications of Vectors in Geometry |
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| YANG Shi-guo. Applications of Vectors in Geometry[J]. Mathematics in Practice and Theory, 2006, 36(9): 383-385 |
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| Authors: | YANG Shi-guo |
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| Abstract: | Recently,th e sine theorem and cosine theorem in the Euclidean plane E~2 were extended to the 3-dimensional Euclidean space E~3.The sine theorem of the space angles and the sine theorem of the dihedral angles and the cosine theorem for a tetrahedron in E~3 were established.In this paper,the simple proofs of the 3-dimensional sine theorem and cosine theorem are given by using vector algebra. |
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| Keywords: | sine theorem cosine theorem tetrahedron |
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