Geodesic
Archimed Bull Problem, Euclid algorithm, and Pell's Equation
Matematičeskoe obrazovanie, Tome 30 (2004) no. 3, pp. 2-16.

Voir la notice de l'article provenant de la source Math-Net.Ru

The author tries to reconstruct, how Archimed could try to solve equations of the type, which is now known as Pell's equation. 
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     author = {A. I. Schetnikov},
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A. I. Schetnikov. Archimed Bull Problem, Euclid algorithm, and Pell's Equation. Matematičeskoe obrazovanie, Tome 30 (2004) no. 3, pp. 2-16. http://geodesic.mathdoc.fr/item/MO_2004_30_3_a0/