对称点偶的基圆方程及其性质

Circle of Inversion's Equation of Symmetric Points Pair and Its Properties

给出了以2定点为对称点偶的基圆方程(即表达式),利用它研究了基圆的一些性质,得到对称点偶的基圆唯一存在的条件.在几何变换方面解决了关于圆周的反演变换的一个逆问题,即给定对称点偶及半径等条件求基圆.

This paper gives the circle of inversion＇s equation for the symmetric point pairsby two points, use it to study the circle of inversion＇s some properties,and obtain the unique existence condition of the symmetric point pairs of circle of inversion. On the geometric transformation this paper has solved an in- verse problem about the circle of transformation and inversion, which has given the symmetric points pair and radius of base inversion condition.