Théorie Des nombres Des preuves datant du XIII e siècle

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Arabic Sciences and Philosophy 35 (1):39-51 (2025)
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Abstract

In this paper, we intend to edit, translate and analyze a 13th-century text containing arithmetical proofs of the proposition that the sum of the squares of two odd numbers cannot be a square. This proposition had already been demonstrated by al-Ḫāzin in the 10th century through propositions 3 and 5 of Book II and proposition 22 of Book IX of Euclid’s Elements.

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10.1017/s0957423924000109

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