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The Interesting Golden Ratio: A Simple Mathematical Approach
Paperback
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ISBN10: 1482855445
ISBN13: 9781482855449
Publisher: Partridge Singapore
Published: Feb 11 2016
Pages: 158
Weight: 0.36
Height: 0.34 Width: 5.00 Depth: 8.00
Language: English
ISBN13: 9781482855449
Publisher: Partridge Singapore
Published: Feb 11 2016
Pages: 158
Weight: 0.36
Height: 0.34 Width: 5.00 Depth: 8.00
Language: English
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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