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A seventh-grader student found a beautiful proof to Thales' Theorem (2002)
y first mathematician ever, Thales of Miletus (ca. 624 BC-ca.
Now the beautiful truth about this pattern is that no matter where on the circle you place the tip of the triangle, it always forms a nice right angle. But it can't be a slanted box because both of its diagonals are diameters of the circle, so they're equal, which means it must be an actual rectangle. (AB: note that) Since the triangle got rotated halfway around the circle, the tip must end up exactly opposite from where it started.
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