| E~n中几何元素的方向数矩阵 |
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| 引用本文： | 皮明智,雷远学.E~n中几何元素的方向数矩阵[J].华中科技大学学报(自然科学版),1992(6). |
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| 作者姓名： | 皮明智 雷远学 |
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| 作者单位： | 华中理工大学机械工程一系
(皮明智)，华中理工大学机械工程一系(雷远学) |
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| 摘 要： | 本文系统地研究了E~n中几何元素的线束方程,由方程中的方向数分析几何元素对投影空间的相对位置和几何元素间的相对位置,规律性强.对于帮助人们认识多维空间,提供了有用的数学方法.
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| 关 键 词： | 欧氏几何 几何作图问题 n维欧氏空间 投影空间 几何元素 线束方程 方向数矩阵 |
A Direction Number Matrix of Geometric Elements in E~n |
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| Pi Mingzhi Lei Yuanxue.A Direction Number Matrix of Geometric Elements in E~n[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1992(6). |
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| Authors: | Pi Mingzhi Lei Yuanxue |
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| Institution: | Pi Mingzhi Lei Yuanxue |
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| Abstract: | The line pencil equation for geometric elements in En is studied. From the direction number in the equation, the relative position between the elements and the projective space anp that between any two elements are analyzed. This relationship is found to be of good regularity and will be a useful mathematical method for facilitating an understanding of En and the mathematical space. |
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| Keywords: | Euclidean geometry geometric drawing problem TV-dimensional Euclidean space projective space geometric element line penci) equation direction number matrix |
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