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.
Língua Inglês ● Formato EPUB ● Páginas 158 ● ISBN 9781482855432 ● Tamanho do arquivo 6.8 MB ● Editora Partridge Publishing Singapore ● Publicado 2016 ● Carregável 24 meses ● Moeda EUR ● ID 6222638 ● Proteção contra cópia Adobe DRM
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