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

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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.

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.

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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://geodesic.mathdoc.fr/item/MSH_1993__124__5_0/

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