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Golden right triangles and the golden quadrilateral

Published online by Cambridge University Press:  24 February 2022

Aldo Scimone
Aldo Scimone*
Affiliation:
Via Costantino Nigra 30, 90141 Palermo (Sicily), e-mail: [email protected]
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Extract

A golden right triangle of first type is a right triangle such that the shortest side is the golden section of the hypotenuse as defined in [1], [2]. If we consider a golden rectangle and one of its diagonals, we obtain a right triangle with the shortest side being the golden section of the other side; this right triangle will be named golden right triangle of second type.

Type
Articles
Information
The Mathematical Gazette , Volume 106 , Issue 565 , March 2022 , pp. 9 - 20
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Copyright
© The Authors, 2022. Published by Cambridge University Press on behalf of The Mathematical Association

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References

Scimone, A., Some nice relations between right-angled triangles and the Golden Section, Teaching Mathematics and its Applications: International Journal of the IMA 30 (2011) pp. 85–94.10.1093/teamat/hrr002CrossRefGoogle Scholar
Posamentier, A. S., The glorious Golden Ratio, Prometheus Books (2012) pp. 184–185.Google Scholar
Josefsson, M., Properties of Pythagorean quadrilaterals, Math. Gaz. 100 (July 2016) pp. 213–224.10.1017/mag.2016.57CrossRefGoogle Scholar