Visualizing Generalizations of the Pythagorean Theorem
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The Pythagorean theorem is the most famous theorem. It was extended extensively over the ages, for instance as the Notrott-Ebisui’s fivefold theorem or as the four hinged squares theorem. Here, visuals proofs are presented for these generalizations, including a proof of the cosine rule in the style of Euclid’s windmill proof.