# An objective and practical method for describing and understanding ratios

Mathématiques et Sciences Humaines (1993)

- Volume: 124, page 5-18
- ISSN: 0987-6936

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topFowler, D. H.. "An objective and practical method for describing and understanding ratios." Mathématiques et Sciences Humaines 124 (1993): 5-18. <http://eudml.org/doc/94450>.

@article{Fowler1993,

abstract = {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.},

author = {Fowler, D. H.},

journal = {Mathématiques et Sciences Humaines},

keywords = {Euclidean algorithm; ratios; incommensurable ratios; decimal fractions},

language = {eng},

pages = {5-18},

publisher = {Ecole des hautes-études en sciences sociales},

title = {An objective and practical method for describing and understanding ratios},

url = {http://eudml.org/doc/94450},

volume = {124},

year = {1993},

}

TY - JOUR

AU - Fowler, D. H.

TI - An objective and practical method for describing and understanding ratios

JO - Mathématiques et Sciences Humaines

PY - 1993

PB - Ecole des hautes-études en sciences sociales

VL - 124

SP - 5

EP - 18

AB - 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.

LA - eng

KW - Euclidean algorithm; ratios; incommensurable ratios; decimal fractions

UR - http://eudml.org/doc/94450

ER -

## References

top- Coulton J.J., "Towards Understanding Greek Temple Design: General Considerations ", Annual of the British School of Athens,70 (1975), 59-99; Corrigenda, ibid., 51 (1976), 149-50.
- Fletcher T., "Approximating by vectors", Mathematics Teaching63 (1973), 4-9 & 64 (1973), 42-44.
- Fowler D.H., The Mathematics of Plato's Academy: A New Reconstruction, Oxford, Clarendon Press, 1987; revised paperback reprint, 1991. Zbl0627.01002MR932963
- Fowler D.H., "Logistic and fractions", pp133-147 in Benoit, P., Chemla K., & Ritter J., edd., Histoire de Fractions, Fractions d'Histoire, Basel etc., Birkhäuser, 1992. Zbl1067.01511MR1278497
- Fowler D.H., "How to find the golden number without really trying", Mathematics Review, 34 (April 1993), 2-7.
- Freyl L., "Médiétés et approximations chez Vitruve", Revue Archéologique, 1990, 285-330.
- Freyl L., "Pour un modèle du chapiteau ionique vitruvien", Revue Archéologique, 1992, 37-63.
- Freyl L., "La transmission d'un canon: les temples ioniques", to appear in Le Projet de Vitruve: Object, Destination et Reception du De Architectura, Rome, Ecole Française de Rome.
- Heath T.L., A History of Greek Mathematics, 2 vols., Oxford, Clarendon Press, 1921, reprinted New York, Dover1981. JFM48.0046.01
- Herz-Fischler R., A Mathematical History of Division in Extreme and Mean Ratio, Waterloo (Ontario), Wilfred Laurier University Press, 1987. MR907871
- Herz-Fischler R. "How to find the golden number without really trying", Fibonacci Quarterly, 19 (1981), 406-10.

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