两锥线的交点

The intersection point of two conic sections

利用锥线系中的退化锥线求两锥线的交点,并在扩平面上利用齐次坐标求出两锥线包括无穷远点在内的四个交点.此外还论述了两锥线S=0与S’=0的交点与锥线系S+λS’=0的特征方程的特征根关系.

We can work out the point of intersection of two conic sections by using degenerate conic in the conic section system. On the extended plane, we may work out four points of intersection of two conic sections including infinite points, using homogenous coodinates.Besides,the author also discusses the relationship between the point of intersection of the conic sections s = 0 and s' = 0 and the characteristic root for the characteristic equation of the conic section system.