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Thursday, August 2, 2007

Pythagoras' Theorem

a^2 + b^2 = c^2

Play a few times with [ this applet ] and I promise you'll never forget the proof of Pythagoras' Theorem again. Ok, just one of the dozens of proofs, but the proof in the applet is the original one. The requirements for understanding the proof are 1) the formula for the area of a triangle: area = ( base * height )/2 and 2) the area of a triangle does not change if the triangle is rotated.

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(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)