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PROOFS #3: Irrational Numbers, Hippasus, and Visual Proofs

(April 30, 2013)  As I entered the building, L, one of my Math Circle lurkers, asked excitedly, “Are you studying The Pythagorean theorem?”  I never erase the board work at the end of class so that L...

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PROOFS #4: Finally Starting to Prove Something

(May 7, 2013)  It is said that Pythagoras promoted the belief that every number can be expressed as a ratio of whole numbers.  This idea was still a bit confusing to our Math Circle participants, who...

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