Links for Napoleon Theorem

There are lots of proofs for this theorem, as well as quite a few other relationships in this figure that we did not explore in class.

A basic description of the construction with GSP is at

http://mathforum.org/~annie/gsp.handouts/napoleon/

This link has a nice discussion of the history of Napoleon and math, but some of the proofs get pretty complicated:

http://www.mathpages.com/home/kmath270/kmath270.htm

A link with lots of proofs

http://www.cut-the-knot.com/proofs/napoleon.html

Proof by Tessellation (with interactive Java):

http://www.cut-the-knot.com/Generalization/NapTess.html

This page expresses the composition proof in class using complex numbers to write the formula for rotation.

http://nrich.maths.org/mathsf/journalf/dec98/mcprob5.html

This one uses the Fermat point to prove Napoleon without transformations

http://agutie.homestead.com/files/Geoproblem_B.htm#Tope

Links for Fermat Point

This link defines the point and gives its basic properties

http://cedar.evansville.edu/~ck6/tcenters/class/fermat.html

This link has more background and context

http://www.geocities.com/Paris/Rue/1861/fermatpt.html

This link has a lot about the Fermat point

http://www.cut-the-knot.com/Generalization/fermat_point.html

This link shows pictures of a bunch of special points of a triangle

http://agutie.homestead.com/files/Trianglecenter_B.htm