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golden section

noun, Fine Arts, Mathematics
1.
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 of golden section
1870-1875
1870-75
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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Examples from the Web for golden section
Historical Examples
• It is unnecessary for us to discuss the intrinsic beauty of curves, or the mental satisfaction afforded by the golden section.

Stewart A. McDowall
• If it is not forced on us, we have, in either case, nothing to do with the golden section.

• The division of a line at the golden section produces 'apparently equal differences' between minor and major, and major and whole.

• There has been a great deal written upon the æsthetic features of the golden section.

David Eugene Smith
• The expression "golden section" is not old, however, and its origin is uncertain.

David Eugene Smith
• Starting with the golden section, we find the two lines representing the total averages running surprisingly close to it.

• Besides, such an interpretation could not apply to divisions widely variant from the golden section.

• Zeising and Wundt were alike in error in taking the golden section as the norm.

• Investigators have confined their efforts to statistical records of approximations to, or deviations from, the golden section.

British Dictionary definitions for golden section

golden section

noun
1.
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 Compare golden ratio
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Contemporary definitions for golden section
noun
Dictionary.com's 21st Century Lexicon
Copyright © 2003-2014 Dictionary.com, LLC
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golden section in Science
 golden section   (gōl'děn)    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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Difficulty index for golden section

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Word Value for golden

8
11
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