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Vincent Siu 
The Interesting Golden Ratio [EPUB ebook] 
A Simple Mathematical Approach

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Omslag till Vincent Siu: The Interesting Golden Ratio (ePUB)

This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Starting from Euclids 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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Språk Engelska ● Formatera EPUB ● Sidor 158 ● ISBN 9781482855432 ● Filstorlek 6.8 MB ● Utgivare Partridge Publishing Singapore ● Publicerad 2016 ● Nedladdningsbara 24 månader ● Valuta EUR ● ID 6222638 ● Kopieringsskydd Adobe DRM
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Vincent Siu

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Franz Rothe: A Course in Old and New Geometry : Volume V
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