# Pythagorean Thereom Essay

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Anthony Powell The Kindly Ones, p. 51, University of Chicago Press, 1995, Remark number 1 http://www.cut-the-knot.org/pythagoras/index.shtml The statement of the Theorem was discovered on a Babylonian tablet circa 1900-1600 B.C. Whether Pythagoras (c.560-c.480 B.C.) or someone else from his School was the first to discover its proof can't be claimed with any degree of credibility. Euclid's (c 300 B.C.) Elements furnish the first and, later, the standard reference in Geometry. In fact Euclid supplied two very different proofs: the Proposition I.47 (First Book, Proposition 47) and VI.31. The Theorem is reversible which means that its converse is also true. The converse states that a triangle whose sides satisfy a² + b² = c² is necessarily right angled. Euclid was the first (I.48) to mention and prove this fact. The Math Forum @ Drexel, The Pythagorean Theorem Ask Dr. Math ® © 1994-2013 Drexel University. All rights reserved. http://mathforum.org/ http://mathforum.org/dr.math/faq/faq.pythagorean.html The Pythagorean theorem deals with the lengths of the sides of a right triangle. It is often written in the form of the equation: a2 + b2 = c2 The theorem states that: The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c'). http://jwilson.coe.uga.edu/emt669/Student.Folders/Morris.Stephanie/EMT.669/Essay.1/Pythagorean.html Department of Mathematics Education J. Wilson, EMT 669 The Pythagorean Theorem by Stephanie J. Morris The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. Pythagoras founded the Pythagorean School of Mathematics in Cortona, a Greek seaport in Southern Italy. He is credited with many