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Mathematical Education, 2019, Issue 4(92), Pages 63–75 (Mi mo687)  
From the history of mathematics

On the knowledge in the XIII–XVI centuries of the relationship of Fibonacci numbers with the golden ratio

A. N. Kovalev

Journal of Mathematical Education
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Abstract: It is suggested that the use of Divine Proportion (Golden Ratio) by artists and architects, starting from the 13th century, could lead to the calculation of suitable fractions for the Phidia number, and, as a consequence, to the discovery of its connection with Fibonacci numbers.
Keywords: Fibonacci numbers, Phidias number, golden ratio, triangulation, Cassini formula.
Document Type: Popular science or education materials
UDC: 511.176
Language: Russian
Citation: A. N. Kovalev, “On the knowledge in the XIII–XVI centuries of the relationship of Fibonacci numbers with the golden ratio”, Math. Ed., 2019, no. 4(92), 63–75
Citation in format AMSBIB
\Bibitem{Kov19}
\by A.~N.~Kovalev
\paper On the knowledge in the XIII--XVI centuries of the relationship of Fibonacci numbers with the golden ratio
\jour Math. Ed.
\yr 2019
\issue 4(92)
\pages 63--75
\mathnet{http://mi.mathnet.ru/mo687}
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