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OverviewThis 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. Full Product DetailsAuthor: Vincent SiuPublisher: Partridge Singapore Imprint: Partridge Singapore Dimensions: Width: 12.70cm , Height: 0.90cm , Length: 20.30cm Weight: 0.163kg ISBN: 9781482855449ISBN 10: 1482855445 Pages: 158 Publication Date: 11 February 2016 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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