二阶曲线与二级曲线

本文分别用线几何和点几何的观点,讨论典型的常态二级曲线的产生、作图和线坐标方程的推导,并与相应的二阶曲线加以比较,以期为高等几何教学提供具体、生动的素材,并加深对射影几何一些重要定理的理解。

The Curves of Second Order and the Curves of Second Class

This paper discusses model nondegenerate curves of second class from line geometry and point geometry respectivly: they are how to be engendered,they are how to be drawn and their equations of line coordinates are deduced. Furthermore,we compared them with correspnding curves of second order. Our aims are that supplying concrete and vivid materials to the teaching of hiyher geometry and deepenning studens' understanding of some important theorems of projective geometny.