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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.