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两二次曲面表面相交交点可图解判定定理及在图示两二次曲面交线中的应用
引用本文:徐岩,段星光,杨文坛.两二次曲面表面相交交点可图解判定定理及在图示两二次曲面交线中的应用[J].燕山大学学报,2005,29(3):252-259.
作者姓名:徐岩  段星光  杨文坛
作者单位:1. 河北师范大学,河北,石家庄,050031
2. 河北工业大学,天津,300130
摘    要:两二次曲面相交是工程构件中常遇到的问题。工程图样均用图解法画出它们的交线。什么情况下交线上的点可图解,什么情况下不可图解,必须预先予以判定。本文给出了交线上的交点可图解的判定定理,并阐明了在图示两二次曲面交线中的应用。

关 键 词:相贯线  可图解  辅助面法  截交线
文章编号:1007-791X(2005)03-0252-08
修稿时间:2005年4月6日

Diagrammatizing determinant theorem and its drawing application for intersection points of two conicoids
XU Yan,DUAN Xing-guang,YANG Wen-tan.Diagrammatizing determinant theorem and its drawing application for intersection points of two conicoids[J].Journal of Yanshan University,2005,29(3):252-259.
Authors:XU Yan  DUAN Xing-guang  YANG Wen-tan
Institution:XU Yan 1,DUAN Xing-guang 1,YANG Wen-tan 2
Abstract:The intersecting of two conicoids is a frequent issue in the engineering components and their intersecting line in the en- gineering drafts are always drawn by means ofdiagrammatizing method. It should be determined in advance that whether the points of the intersecting line can be diagrammatized and which are the diagrammatizing conditions. This paper presents the determinant theorem for judging whether the points of the intersecting line can be diagrammatized and clarifies its application in the drawing of intersecting line of two conicoid.
Keywords:intersecting line  diagrammatize  assistant surface  intercepting line  
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