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angle of parallelism

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  • Angle of parallelism — In hyperbolic geometry, the angle of parallelism Φ is the angle at one vertex of a right hyperbolic triangle that has two asymptotic parallel sides. The angle depends on the segment length a between the right angle and the vertex of the angle of… …   Wikipedia

  • Parallelism — may refer to:* Angle of parallelism, the angle at one vertex of a right hyperbolic triangle that has two hyperparallel sides * Conscious parallelism, price fixing between competitors in an oligopoly that occurs without an actual spoken agreement… …   Wikipedia

  • Angle (disambiguation) — An angle is a geometrical figure formed by two lines (rays) sharing a common endpoint.Angle may also refer to: *Angling, a fishing technique of using bait and hook. *Angles, the Germanic tribe that moved to Britain. *Angle, Pembrokeshire, Wales.… …   Wikipedia

  • Hyperbolic angle — A hyperbolic angle in standard position is the angle at (0, 0) between the ray to (1, 1) and the ray to ( x , 1/ x ) where x > 1.The magnitude of the hyperbolic angle is the area of the corresponding hyperbolic sector which is loge x .Note that… …   Wikipedia

  • Caster angle — is the angular displacement from the vertical axis of the suspension of a steered wheel in a car, bicycle or other vehicle, measured in the longitudinal direction. It is the angle between the pivot line (in a car an imaginary line that runs… …   Wikipedia

  • Parallel (geometry) — Parallelism is a term in geometry and in everyday life that refers to a property in Euclidean space of two or more lines or planes, or a combination of these. The assumed existence and properties of parallel lines are the basis of Euclid s… …   Wikipedia

  • Hyperbolic geometry — Lines through a given point P and asymptotic to line R. A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparall …   Wikipedia

  • Hjelmslev transformation — In mathematics, the Hjelmslev transformation is an effective method for mapping an entire hyperbolic plane into a circle with a finite radius. The transformation was invented by Danish mathematician Johannes Hjelmslev. It utilizes Nikolai… …   Wikipedia

  • List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …   Wikipedia

  • Split-quaternion — Coquaternion multiplication × 1 i j k 1 1 i j k i i −1 k −j j j −k +1 −i …   Wikipedia

  • List of mathematical proofs — A list of articles with mathematical proofs:Theorems of which articles are primarily devoted to proving them: See also: *Bertrand s postulate and a proof *Estimation of covariance matrices *Fermat s little theorem and some proofs *Gödel s… …   Wikipedia

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