Definitions for golden section
gold·en sec·tion

Princeton's WordNetRate this definition:0.0 / 0 votes

1. golden section, golden meannoun

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

WiktionaryRate this definition:0.0 / 0 votes

1. golden sectionnoun

   the division of a whole into two parts such that the ratio of the smaller part to the larger is equal to the ratio of the larger part to the whole.

WikipediaRate this definition:0.0 / 0 votes

1. Golden Section

   In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a {\displaystyle a} and b {\displaystyle b} with a > b > 0 {\displaystyle a>b>0} , where the Greek letter phi ( φ {\displaystyle \varphi } or ϕ {\displaystyle \phi } ) denotes the golden ratio. The constant φ {\displaystyle \varphi } satisfies the quadratic equation φ 2 = φ + 1 {\displaystyle \varphi ^{2}=\varphi +1} and is an irrational number with a value of The golden ratio was called the extreme and mean ratio by Euclid, and the divine proportion by Luca Pacioli, and also goes by several other names.Mathematicians have studied the golden ratio's properties since antiquity. It is the ratio of a regular pentagon's diagonal to its side and thus appears in the construction of the dodecahedron and icosahedron. A golden rectangle—that is, a rectangle with an aspect ratio of φ {\displaystyle \varphi } —may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has been used to analyze the proportions of natural objects and artificial systems such as financial markets, in some cases based on dubious fits to data. The golden ratio appears in some patterns in nature, including the spiral arrangement of leaves and other parts of vegetation. Some 20th-century artists and architects, including Le Corbusier and Salvador Dalí, have proportioned their works to approximate the golden ratio, believing it to be aesthetically pleasing. These uses often appear in the form of a golden rectangle.

ChatGPTRate this definition:0.0 / 0 votes

1. golden section

   The golden section, also known as the golden ratio, is a mathematical constant approximately equal to 1.618033988749895. It is defined as the positive solution of the equation x^2 = x + 1. This ratio can be found in a variety of natural and human-made patterns and structures, including the shape of certain flowers, buildings, and artworks. It is often used in design due to its aesthetically pleasing proportions.

WikidataRate this definition:0.0 / 0 votes

1. Golden Section

   Golden Section is the sixth studio album by British ambient dance band System 7.

Matched Categories

1. • Proportion

How to pronounce golden section?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say golden section in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of golden section in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of golden section in Pythagorean Numerology is: 7

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=golden section
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Golden_Section
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Golden_Section
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=golden section