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Napoleon Generalization 1

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Napoleon Generalization 2

Have a look at this sketch for another arrangement of three similar triangles on the sides for which GHI is similar to the three outer triangles *Napoleon Similar Triangles Variation*

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Napoleon Specialization: Miquel's Theorem

John Rigby from the Math Dept, Cardiff University uses tessellations in his 1988 paper *"Napoleon Revisited"* in the **Journal of Geometry** to prove Napoleon's theorem as well as some of the above generalizations.

This page was created by Michael de Villiers, 2008 using **JavaSketchpad**, a World-Wide-Web component of *The Geometer's Sketchpad.* Copyright © 1990-2001 by KCP Technologies, Inc. Licensed only for non-commercial use.