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An Ideal Golden Ratio Project

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An Ideal Golden Ratio Project
GOLDEN RATIO- maths project

Index
Serial no. chapter 1 | Introduction | 2 | History | 3 | In nature | 4 | In human body | 5 | In architecture | 6 | In art | 7 | In day to day life | 8 | SIGNIFICANCE |

ACKNOWLEDGEMENT
I would like to express my special thanks of gratitude to my teacher sonali durgam on the topic golden ratio, which also helped me in doing a lot of Research and I came to know about so many new things. I am really thankful to her.

Secondly I would also like to thank my parents and friends who helped me a lot in finishing this project’s information finding work.

I am making this project not only for marks but to also increase my knowledge.
THANKS AGAIN TO ALL WHO HELPED ME
Introduction
The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in simple geometric figures such as the pentagon, pentagram, decagon and dodecahedron. It is denoted , or sometimes .
The designations "phi" (for the golden ratio conjugate ) and "Phi" (for the larger quantity ) are sometimes also used (Knott), although this usage is not necessarily recommended.
The term "golden section" (in German, goldener Schnitt or der goldene Schnitt) seems to first have been used by Martin Ohm in the 1835 2nd edition of his textbook Die Reine Elementar-Mathematik (Livio 2002, p. 6). The first known use of this term in English is in James Sulley's 1875 article on aesthetics in the 9th edition of the Encyclopedia Britannica. The symbol ("phi") was apparently first used by Mark Barr at the beginning of the 20th century in commemoration of the Greek sculptor Phidias (ca. 490-430 BC), who a number of art historians claim made extensive use of the golden ratio in his works (Livio 2002, pp. 5-6). Similarly, the alternate notation is an abbreviation of the Greek tome, meaning "to cut."
In the Season 1 episode "Sabotage" (2005) of

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