一种用射影线束族生成曲线的方法

Method for Generating New Curves by projective Families of Pencil of Lines

以两射影对应线束对应直线交点的轨迹是二阶曲线为基础,研究了射影线束族的形成原理,讨论了射影线束与线束族、射影线束族与线束族对应直线交点所构成的平面曲线及其性质。同时利用计算机绘制了部分曲线。

This paper studies the principle of projective families of pencils of lines based on that the locus of point of intersection of two projective pencils of lines and discusses the characters of plane curves formed by the locus of corresponding lines of projective pencils of lines and families of pencils of lines and two families of pencils of lines, then some curves by computer are given.