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- Silver_ratio abstract "In mathematics, two quantities are in the silver ratio if the ratio between the sum of the smaller plus twice the larger of those quantities and the larger one is the same as the ratio between the larger one and the smaller (see below). This defines the silver ratio as an irrational mathematical constant, whose value of one plus the square root of 2 is approximately 2.4142135623. Its name is an allusion to the golden ratio; analogously to the way the golden ratio is the limiting ratio of consecutive Fibonacci numbers, the silver ratio is the limiting ratio of consecutive Pell numbers. The silver ratio is denoted by δS.Mathematicians have studied the silver ratio since the time of the Greeks (although perhaps without giving a special name until recently) because of its connections to the square root of 2, its covergents, square triangular numbers, Pell numbers, octagons and the like.The relation described above can be expressed algebraically:The silver ratio can also be defined by the simple continued fraction [2; 2, 2, 2, ...]:The convergents of this continued fraction (2/1, 5/2, 12/5, 29/12, 70/29, ...) are ratios of consecutive Pell numbers. These fractions provide accurate rational approximations of the silver ratio, analogous to the approximation of the golden ratio by ratios of consecutive Fibonacci numbers.".
- Silver_ratio wikiPageExternalLink silver.
- Silver_ratio wikiPageID "920526".
- Silver_ratio wikiPageRevisionID "606586741".
- Silver_ratio b "S".
- Silver_ratio hasPhotoCollection Silver_ratio.
- Silver_ratio p "n".
- Silver_ratio title "Silver Ratio".
- Silver_ratio urlname "SilverRatio".
- Silver_ratio subject Category:Algebraic_numbers.
- Silver_ratio subject Category:Continued_fractions.
- Silver_ratio subject Category:Irrational_numbers.
- Silver_ratio subject Category:Mathematical_constants.
- Silver_ratio subject Category:Ratios.
- Silver_ratio type Abstraction100002137.
- Silver_ratio type AlgebraicNumber113730902.
- Silver_ratio type AlgebraicNumbers.
- Silver_ratio type Cognition100023271.
- Silver_ratio type ComplexNumber113729428.
- Silver_ratio type Concept105835747.
- Silver_ratio type Constant105858936.
- Silver_ratio type Content105809192.
- Silver_ratio type ContinuedFraction113736550.
- Silver_ratio type ContinuedFractions.
- Silver_ratio type DefiniteQuantity113576101.
- Silver_ratio type Fraction113732078.
- Silver_ratio type Idea105833840.
- Silver_ratio type IrrationalNumber113730584.
- Silver_ratio type IrrationalNumbers.
- Silver_ratio type MagnitudeRelation113815152.
- Silver_ratio type MathematicalConstants.
- Silver_ratio type Measure100033615.
- Silver_ratio type Number113582013.
- Silver_ratio type PsychologicalFeature100023100.
- Silver_ratio type Quantity105855125.
- Silver_ratio type Ratio113819207.
- Silver_ratio type RationalNumber113730469.
- Silver_ratio type Ratios.
- Silver_ratio type RealNumber113729902.
- Silver_ratio type Relation100031921.
- Silver_ratio comment "In mathematics, two quantities are in the silver ratio if the ratio between the sum of the smaller plus twice the larger of those quantities and the larger one is the same as the ratio between the larger one and the smaller (see below). This defines the silver ratio as an irrational mathematical constant, whose value of one plus the square root of 2 is approximately 2.4142135623.".
- Silver_ratio label "Número plateado".
- Silver_ratio label "Proportion d'argent".
- Silver_ratio label "Silver ratio".
- Silver_ratio label "Srebrny podział".
- Silver_ratio label "Серебряное сечение".
- Silver_ratio label "白銀比".
- Silver_ratio sameAs Número_plateado.
- Silver_ratio sameAs Proportion_d'argent.
- Silver_ratio sameAs 白銀比.
- Silver_ratio sameAs Srebrny_podział.
- Silver_ratio sameAs m.03q0fj.
- Silver_ratio sameAs Q2353128.
- Silver_ratio sameAs Q2353128.
- Silver_ratio sameAs Silver_ratio.
- Silver_ratio wasDerivedFrom Silver_ratio?oldid=606586741.
- Silver_ratio isPrimaryTopicOf Silver_ratio.