Sunday, March 25, 2012

Golden Ration


In mathematics and the arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. The figure on the right illustrates the geometric relationship. Expressed algebraically:
 \frac{a+b}{a} = \frac{a}{b} \equiv \varphi,
where the Greek letter phi (\varphi) represents the golden ratio. Its value is:
\varphi = \frac{1+\sqrt{5}}{2} = 1.61803\,39887\ldots.

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