Bankoff Circle

r

0.6

Inside a semicircle of radius

1

2

, construct semicircles of radii

r

2

and

1-r

2

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 (

r

, 0) and the tangent points of the smaller semicircles is the Bankoff circle.

External Links

Arbelos (Wolfram MathWorld)

Bankoff Circle (Wolfram MathWorld)

Permanent Citation

Jay Warendorff

"Bankoff Circle"
http://demonstrations.wolfram.com/BankoffCircle/
Wolfram Demonstrations Project
Published: March 7, 2011