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Online Math: Geometry Problem 1228: Three Tangent Circles, Midpoint, Major Arc, Common Tangent Line, Square. Tiled background image: Intihuatana, Machu Picchu. Level: College, High School.

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In the figure below, circles O1, O2, and O3 are tangent to each other and to a line L at A, B, and E, respectively. The circle O4 passes through A and B and is tangent to circle O3 at F. Tangent to the circle O4 at the midpoint of major arc AB meets O1A and O2B extended at D and C, respectively. Prove that ABCD is a square.
 

Geometry Problem 1228: Three Tangent Circles, Midpoint, Major Arc, Common Tangent Line, Square
 
 

 

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Last updated: Jun 13, 2016