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In this book you can discover the magic of different series with sum is the **golden ratio**.An exact formula of a series that converges to the **golden ratio**. Whose sums in the limit become infinitesimals whose quotient gives us the golden number. An infinite sum that converges quickly to the **golden ratio**.

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This e Book introduces **Golden Ratio** in the Quran. I have added the bonus chapters on Introduction, Definition and Creations on **Golden Ratio**. The City of Mecca and Kaaba which the Muslims uses as a Direction for Prayers is situated on the **Golden Ratio** Zone. You only require simple **Golden Ratio** Formula and Data such as distances from North to South Pole from Mecca, Likewise West and East from Mecca

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In this book, the basic mathematical properties of the **golden ratio** and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the **golden ratio** are presented. These concepts are applied to algorithms fur searching and function minimiz

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What exactly is the **Golden Ratio**? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. The authors trace the appearance of the **Golden Ratio** throughout history, demonstrate a variety of ingenious techniques used to construct it, and illustrate the many surprising geometric figures in wh

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A New **Golden ratio** Guide That Will Give You ALL You Want To Know. There has never been a **Golden ratio** Guide like this. It contains 103 answers, much more than you can imagine; comprehensive answers and extensive details and references, with insights that have never before been offered in print. Get the information you need--fast! This all-embracing guide offers a thorough view of key knowledge an

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