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Abstract: The Pythagorean Theorem, perhaps the most widely known result in mathematics, has been proven in countless ways, and remains a basic building block of Euclidean geometry. Pythagorean Theorem analogs in non-Euclidean geometries can provide a gateway into understanding those geometries.
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Heath, Daniel J., "Rethinking Pythagoras," Loci (September 2010), DOI: 10.4169/loci003568
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