Napoleon's Theorem, a couple of simple proofs by Scott Brodie, MD, PhD.
Hammer and Tongs trigonometry.
This theorem is generally attributed to Napoleon Bonaparte (1769-1821),
although it has also been traced back to 1825 (Schmidt 1990, Wentzel 1992,
Eddy and ...
Napoleon's Triangle appears to be congruent to the original equilateral triangle
ABC by the SSS postulate. Now, let's see what happens when our original ...
Theorem 1 (Napoleon's Theorem). Given a triangle $ABC$ , construct equilateral
triangles on the sides of $ABC$ , either all outward or all inward. Then the ...
Could Napoleon have proved Napoleon's Theorem? ... An emperor wasn't
exactly what the revolutionaries had in mind. But Napoleon left a lasting, albeit
This theorem is credited to Napoleon, who was fond of mathematics, though
many doubt that he knew enough math to discover it! How to Cite this Page:
www.math.washington.edu/~grunbaum/A Relative of Napoleons Theorem.pdf
note is to present a result related in spirit to Napoleon's theorem, but more
complex. .... two specific instances. The simpler generalization is what is known
This page has a proof of Napoleon's theorem and also proofs of the main
properties of the special ines and circles in this figure that all pass through the
A Template for Napoleon's Theorem Explorations ... What happens when you
reflect each centroid over the closest edge of your original triangle? What is the ...
www.ask.com/youtube?q=What's Napoleon's Theorem&v=pmUwPPcH8BQ
Oct 7, 2008 ... No matter what shape the green triangle has, the red triangle is always
equilateral. For more information, films, and interactive material, see ...