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Javascript Version

Napoleon's Theorem

Besides conquering most of Europe, Napoleon reportedly came up with this theorem:

 

 

 

 

 

 

 

 

 

 

 

 

 

If you take any triangle ABC and draw equilateral triangles on each side, then join up the incenters of these triangles, the resulting triangle GHI is equilateral.

If you are interested in this applet, you may like our Interactive Symbolic Geometry software Geometry Expressions.