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Collinear Intersections (Posted on 2007-09-13) Difficulty: 3 of 5
Three circles A, B, and C have non-collinear centers, unequal radii, and pairwise the distance between their centers is greater than the sum of their radii.

Let P, Q, and R be the intersections of the external tangents to circles A&B, A&C, and B&C respectively.

Let L and M be the intersections of the internal tangents to circles A&B and A&C respectively.

Prove that P, Q, and R are collinear.

Prove that L, M, and R are collinear.

See The Solution Submitted by Bractals    
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  Subject Author Date
Monge's Circle TheoremBrian Smith2009-11-07 12:11:10
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