Johnson's Theorem
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Let three circles of equal diameter intersect at a point H and intersect pairwise at points A, B, and C. Then the circumcircle of the triangle ABC has the same diameter as the other circles.
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Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
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"Johnson's Theorem"
http://demonstrations.wolfram.com/JohnsonsTheorem/
Wolfram Demonstrations Project
Published: March 7 2011