MATC Mathematics Club
Lecture #90

Madison Area Technical College
Madison, Wisconsin


Spring 2009 Presentation #90 (November 20, 2009)

Professor John A. Frohliger, St. Norbert College

"Pythagorean Triples: Where Do They Come From?"

Past Lectures: "The Golden Ratio", "Finding the Odd Weight", "Worms, Blocks, and Harmony", "Honey, Where Shall We Sit?" and "One Potato, Two Potato, ..."

Abstract: Everyone remembers the Pythagorean Theorem: If a, b, and c are the legs and hypotenuse of a right triangle, then .  Most people can even recall some particular examples, such as the 3-4-5 right triangle, where the lengths of the sides are all integers.  In this talk, we’ll investigate some of the properties of a, b, and c and look at how you can generate your own Pythagorean triple (bring a calculator).

Biography: Professor John A. Frohliger of St. Norbert College has been an Associate Professor of Mathematics at St. Norbert College since 1983. He received his B.A. from Indiana University and M.S. and Ph.D. from Purdue University. He has served as the Wisconsin coordinator of the American High School Mathematics Examination (AHSME), 1987-92, the Chair of the Wisconsin Section of the MAA 1998-1999 and a Reader for the AP calculus exam since 2000.


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