We intend in this paper to outline one part of the number theory genesis relatively to the equation: a square plus/minus a number equals a square focusing on the Arabic mathematicians’ works, like, for example, those of al-Khazin, Ibn al-Laith, al-Karaji, al-Baghdadi and al-Khallat. We will then briefly describe the occidental tradition relative to his subject threw the works of Fibonacci, Fermat, Frenecle, Euler, and others.

Auteurs : Khaled Kchir, Saif-Eddin Toumi, Foued Nafti

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