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Bankoff Circle

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Inside a semicircle of radius , construct semicircles of radii and with bases on the first semicircle. Find the point on each of the smaller semicircles for which there is a circle tangent to each of the three semicircles. The circle through (, 0) and the tangent points of the smaller semicircles is the Bankoff circle.

Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

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