圆锥面作为辅助面求作球体切平面

Making Spherical Tangent Plane Using Conic Surface as Auxiliary Surface

球体切平面作图方法在工程图学中较少研究,论文就单球、双球和三球体公切平面(在各种约定条件下)的形成原理,空间走向、表达形式以及数量作了详尽地分析,提出了利用圆锥面作为辅助面求作球体切平面的方法。对单球、双球和三球切平面作图方法采用了一题两解的办法,并对两种作法进行比较和分析,从而得出正确的结论。

The study of making spherical tangent plane is rarely seen in engineering graphics. After analyzing the forming theory, space trend and the method of making tangent plane of one ball, two balls and three balls in engineering graphics, the method of making spherical tangent plane assisted by conic surface is put forward. The method presented here has two solutions for each problem solved, and a correct conclusion could be obtained by comparing and analyzing the two solutions.