Maurice Machover

Some Unusual Proofs of Pythagoras

Maurice Machover, Department of Mathematics and Computer Science, St. John’s College of Liberal Arts and Sciences

Abstract
We present unusual proofs like (1) short one line proof from units and dimensions in Physics; (2) My proof from Euler’s formula in Complex Variables; (3) Well known Caveman’s proof (diamond in the square); (4) President James Garfield’s Proof(trapezoid); (5) shortest curve proof from Calculus Of Variations(Euler-LaGrange Equation).