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Ptolemy’s Theorem and the Almagest: we just found the best visual proof in 2000 years
Yes, of course, Pythagoras theorem :) In fact, if our quadrilateral is a rectangle… then opposite sides are the same length, and the diagonals are also of the same length… and so Ptolemy’s theorem ...
To find E within ΔABC such that AE sin BEC + BE sin CEA + CE sin AEB shall be a maximum.
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