| 过双曲线外一定点作其法线的求解分析及其几何迭代作图 |
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| 引用本文： | 郭朝勇,刘传恩.过双曲线外一定点作其法线的求解分析及其几何迭代作图[J].军械工程学院学报,1997(2). |
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| 作者姓名： | 郭朝勇 刘传恩 |
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| 作者单位： | 军械工程学院机械设计与制图教研室，军械工程学院机械设计与制图教研室 石家庄 050003，石家庄 050003 |
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| 摘 要： | 对过双曲线外一定点的法线作图问题作了探讨,提出了几何作图法的不可解性及优化法解的不全性。根据双曲线与其法线的几何特征关系建立了求解法线的解析方程,分析了法线问题解析求解的繁杂性。提出了一种几何迭代作图方法,并具体给出了该方法的几何迭代作图步骤。
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| 关 键 词： | 双曲线 双曲线法线 几何迭代 |
SOLUTION ANALYSIS AND GEOMETRIC ITERATION DRAWING METHOD OF HYPERBOLA NORMAL |
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| Guo Chaoyong Liu Chuanen.SOLUTION ANALYSIS AND GEOMETRIC ITERATION DRAWING METHOD OF HYPERBOLA NORMAL[J].Journal of Ordnance Engineering College,1997(2). |
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| Authors: | Guo Chaoyong Liu Chuanen |
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| Institution: | Teaching and Research Section of Machinery Design and Drawing |
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| Abstract: | This paper discusses the drawing of hyperbola normal through a point outside the hyperbola and points out the unsolvability of geometric drawing method and the unintegrality of optimization method. According to the relationship between hyperbola and its normal, the analytic equation is discussed. A geometric iteration drawing method and the graphic steps aregiven. |
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| Keywords: | hyperbola hyperbola normal geometric iteration |
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