Bankoff Circle
Bankoff Circle
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.
1
2
r
2
1-r
2
r