. . . . . .  In this page, the concepts of orthogonal circles and inversion geometry will be presented.

should describe orthogonal circles and the inversion circle, and such things as the angle preservation property etc.

Orthogonal Circles

Internet References

From Doctor Math, Orthogonal Circles 
From Mathworld, Orthogonal Circles, Inversion 
From Cut-the-knot, Inversion: Reflection in a Circle and Inversion circle 
Paul Kunkel's Inversion Geometry

Related pages in this website

Triangle centers, incircle, excircles, and the nine-point circle -- the nine-point circle is tangent to the incircle and the three excircles by Feuerbach's Theorem, a fact that is proved on cut-the-knot using inversion circles.

The webmaster and author of the Math Help site is Graeme McRae.
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