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The Pythagorean Theorem says that if a and b are the leg lengths of a right triangle with hypotenuse c, then a2 + b2 = c2. The infinitely many integral solutions are well classified, and numerous generalizations have been thoroughly studied. Lagrange [6] proved that every positive integer was the sum of 4 squares of integers. Waring [9] conjectured and Hilbert [5]...
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