摘要
研究了二次椭圆曲面与平面相交，求交线实形的方法．该方法的关键在于根据给定的条件利用作辅助曲面来定出交巳知曲面于椭圆截面族的方向，然后将平行于此方向的平面所截得的椭圆向新投影面投形成团，以定出交线实形上的点．
The author has mainly studied the cross of the second order elliptic quadric sur faces with plane and studied the method of solving the solid form of the lines of intersection.A new method was got through studying. The key to the method lies in difining the direction of elliptic section family that crosses with the given quadric surfaces by means of doing auxlilary quadric surface according to the known condition. Then project the ellipse beingcut by the plane that parallels to the direction into a circle on the new projectile plane,so thatthe dots in the solid form of the lines of intersection can be designed.
出处
《湘潭大学自然科学学报》
CAS
CSCD
1997年第4期73-76,共4页
Natural Science Journal of Xiangtan University
基金
湖南省教委资助
关键词
椭圆曲面
交线
实形
画法几何
截几面
elliptic quadric surfaces
plane
the line of intersection
solid form
auxiliary quadric surfaces
elliptic section familly
