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过椭圆外一定点作其法线的求解分析及其几何逼近作图
引用本文:郭朝勇,刘传恩.过椭圆外一定点作其法线的求解分析及其几何逼近作图[J].军械工程学院学报,1995(4).
作者姓名:郭朝勇  刘传恩
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
摘    要:对过椭圆外一定点的法线作图问题作了探讨,指出了几何作图法的不可解性。根据椭圆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。提出了一种几何逼近作图方法,并具体给出了该方法的几何作图步骤。

关 键 词:椭圆  椭圆法线  几何作图

SOLUTION ANALYSIS AND GEOMETRIC APPROACH GRAPHIC METHOD OF ELLIPSE NORMAL
Guo Chaoyong Liu Chuanen.SOLUTION ANALYSIS AND GEOMETRIC APPROACH GRAPHIC METHOD OF ELLIPSE NORMAL[J].Journal of Ordnance Engineering College,1995(4).
Authors:Guo Chaoyong Liu Chuanen
Institution:Teaching and Research Section of Machinery Design and Drawing
Abstract:This paper discusses the graphic problem of ellipse normal through a point outside the ellipse. Concluded are the unsolvability of geometric graphic method to solve this problem . According to the relationship between ellipse and its normal, the analytic equation of ellipse normal solution is built as well as the complicacy of analytic method. A geometric approach graphic method on this problem is advanced, and the graphic steps on this method are given.
Keywords:ellipse  ellipse normal  geometric graphic  
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