Golden mean


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golden mean

[‚gōld·ən ′mēn]
(mathematics)

Golden mean

A proportional relationship devised by the Greeks that expresses the ideal relationship of unequal parts. It is obtained by dividing a line so that the shorter part is to the longer part as the longer part is to the whole line. It can be stated thus: a is to b as b is to a+ b. If we assign the value of 1 to a, and solve as a quadratic equation, then b = 1.618034. Therefore, the golden mean is 1:1.618.

golden mean

or section a proportion between the length and width of a rectangle or two portions of a line, said to be ideal. [Fine Arts: Misc.]
References in periodicals archive ?
After Confucius, many scholars tried to use different ways to interpret and expand "The Golden Mean".
As an example, Kennedy claims that allusions to the Golden Mean cluster around 61.8% of Plato's works, (7) the value of the Golden Mean itself being 0.618.
Replicating the translucency of Renaissance color, she painted vellum squares (derived of course from the Golden Mean) with pure color--i.e., one side red and one side blue, allowing the third color (purple) to glow through those layers.
- It is hard to find the golden mean when the government agencies put security and other relevant issues forefront and oppose to visa-free regime, while business lobbies its interests.
cloudbanks, the golden mean, stations of the cross in stained glass or
Goodwin said he was guided by Aristotle's Golden Mean. "I've always tried to balance my work and my family and also my personal time in a way that achieves happiness for all, for my clients and my family and for me too.
He was a witness to the way in which South American constructivists created art with the Golden Mean "sinking their golden compass into objects, into hands, into everything." And he discovered the prodigious flora of the Americas in a kind of new Botanical Expedition.
Distiches" to praise, describe and implement the Golden Mean.
We had an owner called Sam Lee, from Lytham St Annes, who liked a bit of a punt and owned Golden Mean, who won the Royal Hunt Cup.
It's Aristotle's "Golden Mean." Americans can adopt this into their lifestyles in many ways.
10, 2010 (CENS) -- To narrow the widening wealth gap, the government Doesn't rule out the possibility of levying capital gains tax and luxury tax, so long as it has the backing of the legislature, wins the support of social consensus, and doesn't violate the principle of golden mean, said Premier Wu Den-yih yesterday (Sept.
This ratio, also know as the "golden mean" and the "golden section," has been known since ancient times to carry a strong appeal to the human mind, and it was interesting to see it publicly acknowledged as a factor in the evaluation of mineral specimens.