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Johnson's Theorem

© Copyright 2003, Jim Loy

We have three equal circles which all intersect at a single point. These circles intersect the other circles (pairwise) at three other points, which we make the vertices of a triangle. Then the circumcircle (the green circle in this diagram) of this triangle is equal to the other three circles. Move the two of the circles by moving their centers:

Please enable Java for an interactive construction (with Cinderella).

The above Java interactive demonstration was created with Cinderella (a geometry program).


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