journal6 ›› 2014, Vol. 35 ›› Issue (4): 1-7.DOI: 10.3969/j.issn.1007-2985.2014.04.001

• Mathematics •     Next Articles

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

 ZHANG  Jian-Yuan, ZHANG  Yi-Min, HU  Xiao-Fei, HAN  Yan   

  1. (School of Mathematics and Statistics,Zhaotong University,Zhaotong 657000,Yunnan China)
  • Online:2014-07-25 Published:2014-07-21

Abstract: 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 inverse problem about the circle of transformation and inversion,which has given the symmetric points pair and radius of base inversion condition.

Key words: symmetric points pair, circie of inversoin, transformation of inversoin, ratio, equation, distribution, property, uniqueness

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