golden section (redirected from golden sections)

golden section

n.

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.

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golden section, mean

n

(Fine Arts & Visual Arts / 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

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golden section  (gldn) 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.

golden section Two rectangles with the proportions of the golden section: the large rectangle, and the small one on the right inside it. The smaller rectangle has proportions a/b , equal to the proportions of the larger one, (a+b)/a .

Thesaurus

Noun

1.

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