| 关于n维欧氏空间上的广义勾股定理 |
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| 引用本文： | 邓勇. 关于n维欧氏空间上的广义勾股定理[J]. 喀什师范学院学报, 2009, 30(6): 7-10 |
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| 作者姓名： | 邓勇 |
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| 作者单位： | 喀什师范学院数学系,新疆,喀什,844007 |
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| 基金项目： | 喀什师范学院2008年校内资助课题 |
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| 摘 要： | 以向量代数为工具，将三维欧氏空间上的勾股定理在n维欧氏空间上进行了推广，得到了广义勾股定理．
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| 关 键 词： | 勾股定理 Gram行列式 向量空间 平行多面体 体积 |
Generalized Pythagorean Theorem in n-dimensional Euclidean Space |
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| DENG Yong. Generalized Pythagorean Theorem in n-dimensional Euclidean Space[J]. Journal of Kashgar Teachers College, 2009, 30(6): 7-10 |
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| Authors: | DENG Yong |
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| Affiliation: | DENG Yong (Department of Mathematics,Kashgar Teachers College,Kashgar 844007,Xinjiang,China) |
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| Abstract: | Though vector algebra,the theory of Pythagorean Theorem in Three-dimensional Euclidean Space was generalized with n-dimensional Eudidean space.And the generalized Pythagorean Theorem was obtained. |
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| Keywords: | Pythagorean Theorem Gram-determinant Vector space Parallel polyhedron Volume |
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