Une extension de la ''section d'or'' aux configurations spatiales

An extension of the "golden ratio" to spatial configurations

Authors

  • Lia Aramă Cluj-Napoca, Romania
  • Oleg Aramă Cluj-Napoca, Romania
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References

Andonie, G. St., Varia mathematica, Ed. II, "Albatros", Bucureşti, 1977, pp. 51+59 (in Romanian).

Aramă, Lia, On the Fibonacci sequence and the Newton method for the extraction of a square root. (Romanian) Gaz. Mat. Ser. A 79 (1974), 82-91, MR0447092.

Bakhvalov, N. S., Chislennye metody (analiz, algebra, obyknovennye differentsial'nye uravneniya). (Russian) [Numerical methods (analysis, algebra, ordinary differential equations)] Izdat. "Nauka", Moscow, 1973. 631 pp., MR0362811.

Câmpan, F.T., Probleme celebre, Ed. II. "Albatros", Bucureşti, 1972, pp. 158-203 (in Romanian).

Coxeter, H. S. M., Introduction to geometry. John Wiley & Sons, Inc., New York-London 1961 xvii+443 pp., MR0123930.

Garner, M., First and Second Scientific American Booh of Mathematiical Puzzles and Diversions. Simon and Schuster, Inc., New York, Chap. 8.

Ghzka, Matila, C. Secţiunea de aur şi proporţiile corpului uman (Trad. din 1. franceyă a articolului cu acelaşi titlu, din vol. "Esthetique des proportions dans la nature et dans les arts", Gallimard, Paris, 1927). "Secolul 20" (Bucureşti), nr.11-12, 1973, pp. 129-140 (in Romanian).

Kuzin - (in Russian).

*** Le nombre d'or, vol. 1: Rites et rythmes pythagoriciens dans le développment de la civilisastion occidentale, NRF, Gallimard, Paris, 1931.

Montel, P., La mathematique du nombre d'or. Revue d'esthétique, 14, 3-4, 1961.

Popoviciu, T., Asupra aplicării algoritmului lui Euclid pentru aflarea c.m.M.d.c. a două numere. Studii şi cercet. ştiinţ. ale Acad. R.P.Române, Filiala Cluj, IV, 1-2, pp. 59-63, 1953 (in Romanian).

Vorobiev, N., Numerele lui Fibonacci, Biblioteca Gazetei Matematice, Ed. Tehnică, Bucureşti, 1961 (in Romanian)..

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Published

1979-08-01

How to Cite

Aramă, L., & Aramă, O. (1979). Une extension de la ’’section d’or’’ aux configurations spatiales: An extension of the "golden ratio" to spatial configurations. Anal. Numér. Théor. Approx., 8(2), 117–125. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1979-vol8-no2-art1

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