golden section

A ratio, observed especially in the fine arts, between the two dimensions of a plane figure or the two divisions of a line such that the smaller is to the larger as the larger is to the sum of the two, a ratio of roughly three to five. Also called golden ratio.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

golden section

golden mean

(Art Terms) 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 and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

gold′en sec′tion

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 greateras the greater is to the sum of both: a ratio of approximately 0.618 to 1.000.

ThesaurusAntonymsRelated WordsSynonymsLegend:

Noun

golden section - the proportional relation between two divisions of line or two dimension of a plane figure such that short : long :: long : (short + long)

golden mean

proportion - the quotient obtained when the magnitude of a part is divided by the magnitude of the whole

Translations

sezione aurea

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References in periodicals archive

Best represented geometrically as the golden rectangle. Visually, there exists a graceful equilibrium between the shape's length and width.

Cinema Science: PI AND THE RAPTURE OF COMPLEX MATHEMATICS: While its title already indicates one of its central mathematical topics of concern, Darren Aronofsky's cult paranoid thriller also offers ample prompts for senior secondary students to explore sequences, phenomena such as the golden ratio and Pythagoras' theorem, and more intricate concepts like irrational numbers and recursion, as DAVE CREWE outlines

If the base of a rectangle is the unit is one, and, the height is [phi], the result is known as the golden rectangle (Figure 2).

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Of the ten rectangles Fechner used, the golden rectangle ranked seventh, in order of long-to-short ratio.

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In Self-Portrait, 2009, a minute face ensconced in an egg-shaped halo emerges from a golden rectangle. It is in profile, the manner favored by Mogul monarchs, as seen, for instance, in silhouetted portraits of seventeenth-century emperor Shah Jahan.

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The ancient Greeks applied the formula for the Golden Rectangle to their architecture and sculpture.

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Seen from above, the landscape would explain the perfect relationship between a square and a rectangle, whereby whenever a square is inserted into a 'golden rectangle', a rectangle of exactly the same proportions remains.

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And, just as the fugitive line drawn by the dancer melds into the next intimate movement as it simultaneously goes "poof" in the enormity of empty space, so does the lopped off square of the golden rectangle continuously produce another like form in its wake.

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Instead of a lid which tends to have a soggy nether region, the chef had baked a golden rectangle of puff pastry separately and set it on the chicken at a rather jaunty angle.

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in Berlin) fully explore this fascinating phenomenon, starting with its discover and taking it to the golden rectangle, music, and art as well as its many applications in nature.

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