In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expre

Golden ratio - Wikipedia

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2021-05-30 03:30:04

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0,

where the Greek letter phi ( φ {\displaystyle \varphi } or ϕ {\displaystyle \phi } ) represents the golden ratio.[1][a] It is an irrational number that is a solution to the quadratic equation x 2 − x − 1 = 0 {\displaystyle x^{2}-x-1=0} , with a value of:

The golden ratio is also called the golden mean or golden section (Latin: sectio aurea).[4][5] Other names include extreme and mean ratio,[6] medial section, divine proportion (Latin: proportio divina),[7] divine section (Latin: sectio divina), golden proportion, golden cut,[8] and golden number.[9][10][11]

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