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.
See how to explore Napoleon's
theorem using the Casio Classpad 300
Also see Napoleon's Theorem in our Geometry Formula Atlas
If you are interested in this applet, you may like our Interactive Symbolic Geometry software Geometry Expressions.