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Four Congruent Circles (Posted on 2006-06-14) Difficulty: 3 of 5
Show how to construct four congruent circles, inside an acute triangle ABC, with centers A', B', C', and D' such that
  1. circle with center A' is tangent to sides AB and AC,
  2. circle with center B' is tangent to sides BC and BA,
  3. circle with center C' is tangent to sides CA and CB, and
  4. circle with center D' is externally tangent to the other three circles.

See The Solution Submitted by Bractals    
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re: If this is what is meant then this is a solution | Comment 2 of 5 |
(In reply to If this is what is meant then this is a solution by Charlie)

The triangle is given and you must cunstruct the circles inside the triangle satisfying the given conditions 1-4 and the fact that the circles must be congruent (have the same radius).
  Posted by Bractals on 2006-06-14 18:33:02

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