Article ID: CBB443574861

How the estimate of √2 on YBC 7289 may have been calculated (2023)


It remains unknown how the approximation of √2 scribed on Babylonian tablet YBC 7289 was calculated. In this article I show how it can be straightforwardly computed using a well-known regular number as the input for the Babylonian method of estimating square roots. My objective is to demonstrate that Babylonian mathematics was sufficiently evolved for the approximation to be easily derived and thus propose an approach that may have been used to calculate it. Résumé On ne sait toujours pas comment l'approximation de √2 inscrit sur la tablette babylonienne YBC 7289 a été calculée. Dans cet article, je montre comment elle peut être calculée simplement en utilisant un nombre régulier bien connu comme entrée pour la méthode babylonienne d'estimation des racines carrées. Mon objectif est de démontrer que les mathématiques babyloniennes étaient suffisamment évoluées pour que l'approximation puisse être facilement dérivée et proposer ainsi une approche qui aurait pu être utilisée pour la calculer.

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Authors & Contributors
Abdulaziz, Abdulrahman A.
Christianidis, Jean P.
Dhombres, Jean G.
Hollenback, George M.
Jadhav, Dipak
Jiang, Xiaoyuan
Historia Mathematica
Historia Scientiarum: International Journal of the History of Science Society of Japan
Technai, An International Journal for Ancient Science and Technology
American Journal of Philology
Apeiron: Journal for Ancient Philosophy and Science
Archive for History of Exact Sciences
Ecdotics; source study (methodology)
Diophantos of Alexandria
Della Porta, Giovan Battista
Geminus of Rhodes
Neugebauer, Otto
Time Periods
17th century
10th century
16th century
20th century
Middle and Near East
Babylon (extinct city)
Alexandria (Egypt)

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