圆柱圆锥正交相贯的数学模型及其交线画法

在工程制图中,圆柱圆锥正交相贯时,其交线上的某些特殊点总是近似求出.以正投影理论为基础,以圆柱圆锥正交相贯的数学模型为依据,提出了一种准确、简便、可靠的求解方法.方法对于手工或计算机准确绘制该交线、对圆管平交正锥台三通下料等工程问题,都很有实用价值.

The Mathematical Modeling of A Cylinder Going Through A Cone and the Drawing of Their Intersecting Curve

In mechanical drawing, when a cylinder goes through a cone with their two axles at right angle, positions of certain special points on the intersecting curve are usually obtained by approximation. This article, based on the theory of direct projection and by taking the mathematical modeling of a cylinder going through a cone as the reference, provides a method which can accurately solve the positions of those special points. This method makes more accurate drawing, manual or by computer, of intersecting lines possible, and it is especially useful for estimating the shape of component pieces of material for making such a model.