Visual proofs illustrate the cosine rule and generalizations of the Pythagorean theorem, enhancing understanding.
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, visual proofs are presented for these generalizations, including a proof of the cosine rule in the style of Euclid’s windmill proof.
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Dirk Huylebrouck (2025) studied this question.
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