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The Interesting Golden Ratio

The Interesting Golden Ratio

The Interesting Golden Ratio

Vincent Siu

18,08 €
IVA incluido
Disponible
Editorial:
Partridge Singapore
Año de edición:
2016
Materia
Geometría
ISBN:
9781482855449
18,08 €
IVA incluido
Disponible

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Sobre IBD

This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Starting from Euclid’s propositions in The Elements, the golden ratio and its related geometry such as the pentagon, pentagram and Vesica Piscis are constructed and determined graphically. Then the value of the ratio is solved by quadratic equations, and depending on the initial assumptions, two values are found. It is proposed that the ratio can be obtained easily by applying the Pythagoras’ theorem. Common terms like golden triangle, golden rhombus, golden spiral and golden angle are deduced and explained. The connections between the golden ratio and Fibonacci numbers, continued fractions, fractals, chaos and tiling are also introduced. The conclusion is that it is mathematics and not the golden ratio that is fascinating.

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