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Three Circles (Posted on 2004-07-28) Difficulty: 4 of 5
Three circles of radius 6, 7, and 8 are externally tangent to each other. There exists a smaller circle tangent to all three (in the space created between the three original circles).

What is the radius of this smallest circle?

No Solution Yet Submitted by ThoughtProvoker    
Rating: 3.0000 (3 votes)

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Some Thoughts Inversion | Comment 3 of 7 |
If you want to construct the two Soddy circles. First invert through a circle with one of the points of tangency as a center and passing through one of the others. Construction of the inverted Soddy circles is then simple. Inverting these inverted circles gives the Soddy circles.
  Posted by Bractals on 2004-07-29 10:16:04
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