anharmonic ratio
Anharmonic An`har*mon"ic, a. [F. anharmonique, fr. Gr. 'an priv. + ? harmonic.] (Math.) Not harmonic. [1913 Webster]

The {anharmonic function} or {anharmonic ratio} of four points abcd on a straight line is the quantity (ac/ad):(bc/bd), where the segments are to be regarded as plus or minus, according to the order of the letters. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • anharmonic ratio — Math. See cross ratio. [1860 65] * * * anharmonic ratio noun The cross ratio of four numbers, four points on a straight line or four lines in a pencil (harmonic when = 1) • • • Main Entry: ↑anharmonic …   Useful english dictionary

  • anharmonic ratio — anharmoniškumo santykis statusas T sritis fizika atitikmenys: angl. anharmonic ratio; cross rate; double ratio vok. Doppelverhältnis, n rus. ангармоническое отношение, n; двойное отношение, n; сложное отношение, n pranc. rapport anharmonique, m …   Fizikos terminų žodynas

  • anharmonic ratio — Math. See cross ratio. [1860 65] * * * …   Universalium

  • Anharmonic — An har*mon ic, a. [F. anharmonique, fr. Gr. an priv. + ? harmonic.] (Math.) Not harmonic. [1913 Webster] The {anharmonic function} or {anharmonic ratio} of four points abcd on a straight line is the quantity (ac/ad):(bc/bd), where the segments… …   The Collaborative International Dictionary of English

  • anharmonic function — Anharmonic An har*mon ic, a. [F. anharmonique, fr. Gr. an priv. + ? harmonic.] (Math.) Not harmonic. [1913 Webster] The {anharmonic function} or {anharmonic ratio} of four points abcd on a straight line is the quantity (ac/ad):(bc/bd), where the… …   The Collaborative International Dictionary of English

  • Cross-ratio — D is the harmonic conjugate of C with respect to A and B In geometry, the cross ratio, also called double ratio and anharmonic ratio, is a special number associated with an ordered quadruple of collinear points, particularly points on a… …   Wikipedia

  • cross ratio — noun Etymology: cross (III) : an anharmonic ratio in mathematics * * * cross ratio, adj. Geom. a ratio relating four points in the real or complex plane. Also called anharmonic ratio. [1880 85] …   Useful english dictionary

  • cross ratio — cross ratio, adj. Geom. a ratio relating four points in the real or complex plane. Also called anharmonic ratio. [1880 85] * * * ▪ mathematics  in projective geometry, ratio that is of fundamental importance in characterizing projections. In a… …   Universalium

  • cross-ratio — noun A special number associated with an ordered quadruple of collinear points, particularly points on a projective line, and preserved by the fractional linear transformations. Syn: anharmonic ratio, double ratio …   Wiktionary

  • double ratio — anharmoniškumo santykis statusas T sritis fizika atitikmenys: angl. anharmonic ratio; cross rate; double ratio vok. Doppelverhältnis, n rus. ангармоническое отношение, n; двойное отношение, n; сложное отношение, n pranc. rapport anharmonique, m …   Fizikos terminų žodynas

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