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旋转抛物面表面交线与圆的对应及在画法几何中的应用
The Homologue for the Intersecting Curve of the Surface of Paraboloid of Revolution with a Circle and Its Applications in Descriptive Geometry
【摘要】 本文对旋转抛物面表面交线与圆的对应性质作了较详细地解析分析,从而得出了两种求旋转抛物面表面交线的作图方法,其中“圆柱面法”是以前画法几何学中所没有过的。它不仅对解决有关旋转抛物面交线的作图问题提供了很大的方便,同时还能解决一些用画法几何的一般作图法所不能解决的作图问题。
【Abstract】 This paper presents two graphic methods of determining the intersecting curve of paraboloid of revolution, after minute analysis of the character of homologue for the intersecting cur e of the surface of paraboloid of revolution with a circle. One of which is the "Cylinder Method" that is presented for the first time in descriptive geometry. This new method not only is convenient to solve the graphy of intersecting curve of paraboloid of revolution, but also can solve some graphic problems which can not be solved by common graphic method of descriptive geometry.
- 【文献出处】 哈尔滨工业大学学报 ,Journal of Harbin Institute of Technology , 编辑部邮箱 ,1985年01期
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