golden section

golden section

noun Fine Arts, Mathematics.
a ratio between two portions of a line, or the two dimensions of a plane figure, in which the lesser of the two is to the greater as the greater is to the sum of both: a ratio of approximately 0.618 to 1.000.
Also called golden mean.


Origin:
1870–75

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Collins
World English Dictionary
golden section or golden mean
 
n
Compare golden ratio the proportion of the two divisions of a straight line or the two dimensions of a plane figure such that the smaller is to the larger as the larger is to the sum of the two. If the sides of a rectangle are in this proportion and a square is constructed internally on the shorter side, the rectangle that remains will also have sides in the same proportion
 
golden mean or golden mean
 
n

Collins English Dictionary - Complete & Unabridged 10th Edition
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Dictionary.com's 21st Century Lexicon
Main Entry:  golden section
Part of Speech:  n
Definition:  See golden ratio
Dictionary.com's 21st Century Lexicon
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American Heritage
Science Dictionary
golden section   (gōl'děn)  Pronunciation Key 


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The ratio between two numbers a and b chosen such that the ratio of a to b is equal to the ratio of a+b to a. Its value is approximately 1.618. shapes with proportions equal to the golden section are observed especially in the fine arts and in architecture, as between the two dimensions of a plane figure such as a rectangle. The ratio between consecutive numbers in a Fibonacci sequence approximates the golden section with increasing precision as the series progresses. Also called golden mean, golden ratio.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Encyclopedia Britannica
Encyclopedia

golden section

Paris-basedParis-based association of Cubist painters; the group was active from 1912 to about 1914.

Learn more about Golden Section with a free trial on Britannica.com.

Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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