A Puzzle by Midnight Math

oct2013_math1Monge’s Theorem, stated informally, says that regardless of the size or location of the three circles depicted above, the points A, B, and C will form a straight line. Prove it.

Send your solutions to this problem (with proofs) to midnight.math@outlook.com. If you are correct, you will be given the highest of accolades: your name mentioned here, next issue.

Last Week’s solution: a slice of pizza with no finite crust
(Here are two of an infinite number of possible ways to produce a slice of pizza with no crust.)

oct2013_math3 oct2013_math2

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