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

Diagrammatizing determinant theorem and its drawing application for intersection points of two conicoids

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。

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.