立体相贯线的新解法

A New Solution of Space Intersection Line

本文从绕坐标轴的回转矩阵出发,推导了向量回转时回转变换张量所对应的矩阵式;定义回转可变向量和等效回转定长向量,以及它们对几何体的描述。在此基础上,本文着重以曲面体与曲面体相交和曲面体与平面相交为例,说明如何建立含有回转变换张量的空间向量方程、求解等效回转定长向量的方法、方程及相贯点的解法。

Based on the rcvoluting matrix around coordinate axes, the matrix formulation coresponding to the revoluting transformation tensor due to the revolution of vector is studied in this paper. And the revoluting variable vector, the equivalent revoluting fixed-length vector are defind, with which the geometric solid may be described. Taking the intersections of both curved surface bodies and that of curved surface body with a plane as examples, the formulation of space vector equation, including the revoluting transformation vector, the method used to determine the equivalent revoluting fixed-length vector, the solution of equation and intersection points are demonstrated.