Definition of the Golden Ratio

Definition of the Golden Ratio - artistic director of the...

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Definition of the Golden Ratio The golden ratio is also called extreme and mean ratio . According to Euclid, A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the less. Derivation of the Golden Ratio Let smaller part = 1, larger part = . Thus is the golden ratio. It is often designated by the greek letter phi, for Phideas, (fl. c. 490-430 BC), Athenian sculptor and
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Unformatted text preview: artistic director of the construction of the Parthenon, who supposedly used the golden ratio in his work. Then by the definition of the golden ratio, / 1 = (1 + ) / so 2 = 1 2 + 1 and we get the quadratic equation, 2- - 1 = 0 As a project, solve this quadratic equation for the golden ratio . You should get, = 1/2 + 5 / 2 1.618 Project: Do this derivation....
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This note was uploaded on 11/05/2011 for the course ARH ARH2000 taught by Professor Karenroberts during the Fall '10 term at Broward College.

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