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Mystery Circle  
Given three circles:

(1) radius 2
(2) radius 1, externally tangent to circle 1
(3) radius 3, tangent to both circle 1 and circle 2 (encasing them)

Find the center and radius of a 4th circle tangent to each of the three.

The model is set up to allow for circles of different sizes and locations.

Anonymous, 05 June 2007

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