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cross ratio of four points

См. также в других словарях:

  • 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 — 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 raˈtio noun Of four points in a range, or rays in a pencil, the quotient of the positions ratios of two with respect to the other two • • • Main Entry: ↑cross …   Useful english dictionary

  • 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

  • Concyclic points — In geometry, a set of points is said to be concyclic (or cocyclic) if they lie on a common circle. Concyclic points, showing that the perpendicular bisectors of pairs are concurrent …   Wikipedia

  • Projective transformation — A projective transformation is a transformation used in projective geometry: it is the composition of a pair of perspective projections. It describes what happens to the perceived positions of observed objects when the point of view of the… …   Wikipedia

  • Golden ratio — For the Ace of Base album, see The Golden Ratio (album). Not to be confused with Golden number. The golden section is a line segment divided according to the golden ratio: The total length a + b is to the length of the longer segment a as the… …   Wikipedia

  • Archaeology of the Cross and Crucifix —     Archæology of the Cross and Crucifix     † Catholic Encyclopedia ► Archæology of the Cross and Crucifix     I. PRIMITIVE CRUCIFORM SIGNS     The sign of the cross, represented in its simplest form by a crossing of two lines at right angles,… …   Catholic encyclopedia

  • Oxidizable carbon ratio dating — is a method of dating in archaeology and earth science that can be used to derive or estimate the age of soil and sediment samples up to 35,000 years old. The method is considered by some to be experimental, and it is not as widely used in… …   Wikipedia

  • Symmetry in physics — refers to features of a physical system that exhibit the property of symmetry that is, under certain transformations, aspects of these systems are unchanged , according to a particular observation. A symmetry of a physical system is a physical or …   Wikipedia

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