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- Golden_ratio abstract "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. The figure on the right illustrates the geometric relationship. Expressed algebraically, for quantities a and b with a > b,where the Greek letter phi represents the golden ratio. Its value is:The golden ratio is also called the golden section (Latin: sectio aurea) or golden mean. Other names include extreme and mean ratio, medial section, divine proportion, divine section (Latin: sectio divina), golden proportion, golden cut, and golden number.Some twentieth-century artists and architects, including Le Corbusier and Dalí, have proportioned their works to approximate the golden ratio—especially in the form of the golden rectangle, in which the ratio of the longer side to the shorter is the golden ratio—believing this proportion to be aesthetically pleasing (see Applications and observations below).Mathematicians since Euclid have studied the properties of the golden ratio, including its appearance in the dimensions of a regular pentagon and in a golden rectangle, which can be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has also been used to analyze the proportions of natural objects as well as man-made systems such as financial markets, in some cases based on dubious fits to data.".
- Golden_ratio thumbnail Golden_ratio_line.svg?width=300.
- Golden_ratio wikiPageExternalLink GoldenSection.
- Golden_ratio wikiPageExternalLink GoldenSection.html.
- Golden_ratio wikiPageExternalLink pentagrm.htm.
- Golden_ratio wikiPageExternalLink devlin_05_07.html.
- Golden_ratio wikiPageExternalLink phi.html.
- Golden_ratio wikiPageExternalLink news180531747.html.
- Golden_ratio wikiPageID "12386".
- Golden_ratio wikiPageRevisionID "606418679".
- Golden_ratio hasPhotoCollection Golden_ratio.
- Golden_ratio id "p/g044570".
- Golden_ratio title "Golden Ratio".
- Golden_ratio title "Golden ratio".
- Golden_ratio urlname "GoldenRatio".
- Golden_ratio subject Category:Composition_in_visual_art.
- Golden_ratio subject Category:Euclidean_plane_geometry.
- Golden_ratio subject Category:Golden_ratio.
- Golden_ratio subject Category:Greek_inventions.
- Golden_ratio subject Category:History_of_geometry.
- Golden_ratio subject Category:Irrational_numbers.
- Golden_ratio subject Category:Mathematical_constants.
- Golden_ratio subject Category:Visual_arts_theory.
- Golden_ratio type Ability105616246.
- Golden_ratio type Abstraction100002137.
- Golden_ratio type Cognition100023271.
- Golden_ratio type ComplexNumber113729428.
- Golden_ratio type Concept105835747.
- Golden_ratio type Constant105858936.
- Golden_ratio type Content105809192.
- Golden_ratio type Creativity105624700.
- Golden_ratio type DefiniteQuantity113576101.
- Golden_ratio type GreekInventions.
- Golden_ratio type Idea105833840.
- Golden_ratio type Invention105633385.
- Golden_ratio type IrrationalNumber113730584.
- Golden_ratio type IrrationalNumbers.
- Golden_ratio type MathematicalConstants.
- Golden_ratio type Measure100033615.
- Golden_ratio type Number113582013.
- Golden_ratio type PsychologicalFeature100023100.
- Golden_ratio type Quantity105855125.
- Golden_ratio type RealNumber113729902.
- Golden_ratio comment "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. The figure on the right illustrates the geometric relationship. Expressed algebraically, for quantities a and b with a > b,where the Greek letter phi represents the golden ratio. Its value is:The golden ratio is also called the golden section (Latin: sectio aurea) or golden mean.".
- Golden_ratio label "Golden ratio".
- Golden_ratio label "Goldener Schnitt".
- Golden_ratio label "Gulden snede".
- Golden_ratio label "Nombre d'or".
- Golden_ratio label "Número áureo".
- Golden_ratio label "Proporção áurea".
- Golden_ratio label "Sezione aurea".
- Golden_ratio label "Złoty podział".
- Golden_ratio label "Золотое сечение".
- Golden_ratio label "رقم ذهبي".
- Golden_ratio label "黄金分割率".
- Golden_ratio label "黄金比".
- Golden_ratio sameAs Zlatý_řez.
- Golden_ratio sameAs Goldener_Schnitt.
- Golden_ratio sameAs Χρυσή_τομή.
- Golden_ratio sameAs Número_áureo.
- Golden_ratio sameAs Urrezko_zenbakia.
- Golden_ratio sameAs Nombre_d'or.
- Golden_ratio sameAs Rasio_emas.
- Golden_ratio sameAs Sezione_aurea.
- Golden_ratio sameAs 黄金比.
- Golden_ratio sameAs 황금비.
- Golden_ratio sameAs Gulden_snede.
- Golden_ratio sameAs Złoty_podział.
- Golden_ratio sameAs Proporção_áurea.
- Golden_ratio sameAs m.037zv.
- Golden_ratio sameAs Mx4rvr2CBJwpEbGdrcN5Y29ycA.
- Golden_ratio sameAs Q41690.
- Golden_ratio sameAs Q41690.
- Golden_ratio sameAs Golden_ratio.
- Golden_ratio wasDerivedFrom Golden_ratio?oldid=606418679.
- Golden_ratio depiction Golden_ratio_line.svg.
- Golden_ratio isPrimaryTopicOf Golden_ratio.