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共母线的正.斜圆锥相交的研究
引用本文:周良德.共母线的正.斜圆锥相交的研究[J].湘潭大学自然科学学报,1991,13(2):148-157.
作者姓名:周良德
作者单位:湘潭大学机电系
摘    要:本文通过对共母线的正、斜圆锥相交,其三次相贯曲线的水平投影的形状特征及其主要性质的研究,认为此三次相贯曲线的水平投影为著名的三次曲线,即三阶虚圆点曲线——布尔梅斯特曲线或称斜环索线。

关 键 词:圆锥  三次  曲线  形状  性质/斜环索线

A STUDY OF INTERSECTION BETWEEN ORTHOQONAL CONE AND OBLIQUETO CONE WITH THE SAME GENERATOR
Zhou Liangde.A STUDY OF INTERSECTION BETWEEN ORTHOQONAL CONE AND OBLIQUETO CONE WITH THE SAME GENERATOR[J].Natural Science Journal of Xiangtan University,1991,13(2):148-157.
Authors:Zhou Liangde
Institution:Department of Mechanical and Electrial Engineering
Abstract:In this paper the author discussed in detail the intersection be-tween orthoqonal cone and obliqueto cone with the same generator and theirhorizontal projective characteristics of third order curves of intersection. Theresults show that horizontal projection of the third order curves of intersectionis the famous third order imaginary circle point curve, i.e. Burmester's curveor cabinet strophoid.
Keywords:cone  thirds  order  forms properties/cabinet strophoid
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