An objective and practical method for describing and understanding ratios
Mathématiques informatique et sciences humaines, Tome 124 (1993), pp. 5-18.

Cet article explore l'utilisation de l'algorithme euclidien comme moyen très utile pour manipuler les rapports, surtout dans les cas où de bonnes approximations rationnelles sont nécessaires. Cette discussion est illustrée à partir d'une analyse de l'architecture grecque par JJ. Coulton. Cet article veut être un compte-rendu pratique, mais il comprend aussi une discussion de certains aspects théoriques, ainsi que de la relation de cette procédure à une nouvelle interprétation des mathématiques grecques de l'époque de Platon.

This article explores the use of the euclidian algorithm as a most useful way of handling ratios, especially when good rational approximations are required. Illustrations are taken from a discussion of the analysis of greek architecture by J.J Coulton. Although this is intended as a practical account, some discussions of theoretical aspects are included, and also of the relationship of this procedure to a new interpretation of early greek mathematics.

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Fowler, D. H. An objective and practical method for describing and understanding ratios. Mathématiques informatique et sciences humaines, Tome 124 (1993), pp. 5-18. http://www.numdam.org/item/MSH_1993__124__5_0/

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