平面与椭球面、椭圆抛物面的交线

Construction of the Curve That a Plane Intersects an Ellipsoid or Elliptic-paraboloid

本文在给出椭球面、椭圆抛物面结构参数的条件下,对确定平面与椭球面、椭圆抛物面的相交线结构参数进行论述,由此可探讨平面与二次曲面相交线结构参数的一般方法。

With given structure parameters of an ellipsoid or elliptic-paraboloid, the determination of the parameters of an intersection curve that a plane cuts the ellipsoid or elliptic-paraboloid is discussed,thereby the general method of finding the structure parameters of the curve that a plane inters- ects a quadric surface can be obtained.