# Lucas Circles

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Given a triangle, find three circles that are tangent to the circumcircle of the triangle at the three points and that are also tangent to each other.

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Contributed by: Claude Fabre (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Was Édouard Lucas (1842–1891) the inventor of this gimmick? The problem evokes Descartes's theorem or Soddy circles. Who would think of using these easy-to-construct squares, which apparently do not seem to be related to the problem?

## Permanent Citation

"Lucas Circles"

http://demonstrations.wolfram.com/LucasCircles/

Wolfram Demonstrations Project

Published: March 7 2011