While I started our presentation about Pythagorean Triples with the proof of the Pythagorean Bhaskara, President Garfield also came up with a proof of the pythagorean theorem! I never a President could be so interested in Math!!!

"President Garfield studied math at Williams College (in Williamstown, MA) and taught in the public school in Pownal, Vermont, for a year or two after graduating. President Garfield may have been joking when he stated about his proof that, "we think it something on which the members of both houses can unite without distinction of the party." A nice feature of mathematical proofs is that they are not subject to political opinion."

-http://www.answerbag.com/q_view/469501

"The twentieth president of the United States gave the following proof to the Pythagorean Theorem. He discovered this proof five years before he become President. He completed this proof in 1876 during a mathematics discussion with some of the members of Congress. It was later published in the New England Journal of Education.. The proof depends on calcultaing the area of a right trapezoid two different ways. The first way is by using the area formula of a trapezoid and the second is by suming up the areas of the three right triangles that can be constructed in the trapezoid. He used the following trapezoid in developing his proof".

GARFIELD'S PROOF and this explanation can be found at http://jwilson.coe.uga.edu/EMT668/emt668.student.folders/HeadAngela/essay1/Pythagorean.html