重虚圆点四次曲线的构成方法

Study on Formation Methods of Bicircular Quartic

重虚圆点四次曲线是很重要的一类高次平面曲线。提出并研究了它的2种构成方法──圆锥曲线的反演变换法和类射影对应圆束相交法；给出了类射影对应圆束的定义和2种构成法的实例及计算机图形。

Bicircular quartic is a very important classics of higher plane curves. Twoformation methods are studied: the inverse transformation of conics and the intersection oftwo like-projective pencil of circles. The concept of like-projective pencil of circle is defined.The examples of two formation methods and the graphs drawn by computer are given.