辅助线法求作两曲面体的相贯线

求作两曲面体相交的相贯线,一般采用三面共点原理的辅助面法,本文提出,当一个曲面立体具有积聚性时,可利用积聚投影的特性,以辅助线代替辅助平面求作相贯线,使作图简化,以正放或斜放圆柱体与圆锥体相交为例进行了分析,介绍了辅助线法的基本方法。

The Auxiliaiy Line in Constructing the Transition Line of Two Geometrical Bodies of Curved Surfaces

The priciple of one concurrent owned by three surfaces was often adopted to construct the transition Line of two geometrical bodies of curved surfaces. According to this paper,when a curved surface of a geometrical body had coincident characters, an auxiliary line could used to construct the transition line instead of an auxiliary surface with the help of coincident projection.As a result, the construction was simplified.A basic method of auxiliary line was introduced with an analysis of the intersection of a cone and a vertical or oblique cylinder.