斜投影在图解有关空间几何问题中的应用

THE APPLICATION OF INCLINED PROJECTION IN ILLUSTRATED DIAGRAM ON SPACE GEOMETRY PROBLEMS

依据斜投影的原理,利用一般面沿面上任意直线方向投影都具有积聚性的特点来图解一般面(包括圆锥面)与直线、一般面与一般面、一般面与梭锥面的交点、交线以及截交线的空间几何问题,以达到简化作图的目的。利用该原理图解某些综合性的空间几何问题,有时要比用其它方法更为简捷。

According to the principle of inclined projection we make use of the projection method in any direction of plane which has the edgewise properties to illustrate the space geometry problems of intersecting points and lines between line and general oblique plane, line and cone, general oblique plane and cone, so that we can get the goal of sim- plifying drawing. Using the principle to illustrcte the problems of complex space geome- try is more simple than using the other methods to do these problems.