the golden section

golden section

A division in a line such that the proportion of the whole to the larger area is equal to the proportion of the larger area to the smaller one. The mathematical golden section has been employed in all manner of things, not the least in art, architecture, and even philosophy.
See also: golden, section
Farlex Dictionary of Idioms.

the golden section

the division of a line so that the whole is to the greater part as that part is to the smaller part.
This is a mathematical term for a proportion known since the 4th century and mentioned in the works of the Greek mathematician Euclid. It has been called by several names, but the mid 19th-century German one goldene Schnitt , translating Latin sectio aurea , has given rise to the current English term.
See also: golden, section
Farlex Partner Idioms Dictionary
See also:
  • golden ratio
  • golden section
  • section
  • the golden mean
  • the happy/golden mean
  • golden mean
  • in (one's) neck of the woods
  • in your, this, etc. neck of the woods
  • stake out
  • stake someone/something out
References in periodicals archive
"The golden section or golden ratio is often symbolised using the 21st letter of the Greek alphabet known as phi.
Transcendent complexity; ARTS & CULTURE Wine glasses, a poetic vision of heaven and the mathematics of perfection all come together in Paul Mealor's new composition, writes Jenny White..
'The arabesque', he says, 'represents at once linear time and circular time, because it goes backwards while moving further forward.' Most prominently, it has led to a fascination with the Golden Section, the never-ending (or 'irrational') number that has so occupied mathematicians from Euclid onwards, and that has engrossed so many artists and architects.
A STEADY RHYTHM
In this research, we adopted the golden section method (GSM) as a line search tool.
Performance Comparison of Mode Choice Optimization Algorithm with Simulated Discrete Choice Modeling
Analysis of the human body based on the golden section
Analysis of Students' and Tram Drivers' Body Ratios in Order to Simplify the Control Panel Design
[x.sub.1] and [x.sub.2] are the coefficients obtained by the golden section method.
Golden sine algorithm: a novel math-inspired algorithm
According to (26) and applying the golden section method in [20], the optimization [[eplison].sub.(i,j)] can be achieved.
Joint resource allocation scheme for OFDM Wireless-Powered Cooperative Communication Networks
The golden ratio ([approximately equal to] 1.618), sometimes known as the golden section or golden number, has been fascinating philosophers, scientists, and artists for more than two millennia [1-4].
A Special Golden Curve in Human Upper Limbs' Length Proportion: A Functional Partition Which Is Different from Anatomy
Creation is suffused with underlying and deliberate structures--one example, the golden section, is found universally, from genetic sequencing to galaxies, in the construction of flowers, insects, and the human form.
Beyond depiction: Sophie Hacker gives an introduction to sacred geometry in the Christian tradition and in her own artistic practice
As stated by Pacioli (1509/1991), the golden section is defined as a harmonic division of a line in extreme and mean ratio (see the top panel of Figure 1).
Aproximacion experimental al estudio de la belleza: El papel de la proporcion aurea
Introducing the golden section rule in the architecture, the concept of the perfect proportion of the elements that constitute the spatial spherical structures has developed.
Modern building structures used for military purposes
Vajda: Fibonacci and Lucas numbers, and the Golden Section: Theory and Applications, 1989, Dover Publications, Inc., Mineola, 2008.
Polynomials that have golden ratio zeros
(2) Calculate the golden section points of [[lambda].sub.m3] and [[lambda].sub.m4].(3) Determine whether the utilized energy efficiency [[eta].sub.m3] equals [[eta].sub.m4] and whether [[lambda].sub.m3] equals [[lambda].sub.m4].
Design and optimization of Fresnel lens for high concentration photovoltaic system
We will prove that the complete affine fullerene [C.sub.60] can be presented only by means of the golden section. The concept of a GS-quasigroup will be used in this consideration.
Affine fullerene [C.sub.60] in a GS-quasigroup