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elliptic line

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  • Elliptic geometry — (sometimes known as Riemannian geometry) is a non Euclidean geometry, in which, given a line L and a point p outside L, there exists no line parallel to L passing through p.Elliptic geometry, like hyperbolic geometry, violates Euclid s parallel… …   Wikipedia

  • Elliptic coordinates — are a two dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and hyperbolae. The two foci F {1} and F {2} are generally taken to be fixed at a and+a, respectively, on the x axis of the Cartesian… …   Wikipedia

  • Elliptic curve — In mathematics, an elliptic curve is a smooth, projective algebraic curve of genus one, on which there is a specified point O . An elliptic curve is in fact an abelian variety mdash; that is, it has a multiplication defined algebraically with… …   Wikipedia

  • Elliptic orbit — A small body in space orbits a large one (like a planet around the sun) along an elliptical path, with the large body being located at one of the ellipse foci …   Wikipedia

  • Elliptic surface — In mathematics, an elliptic surface is a surface that has an elliptic fibration, in other words a proper connected smooth morphism to an algebraic curve, almost all of whose fibers are elliptic curves. The fibers that are not elliptic curves are… …   Wikipedia

  • elliptic geometry — noun (mathematics) a non Euclidean geometry that regards space as like a sphere and a line as like a great circle Bernhard Riemann pioneered elliptic geometry • Syn: ↑Riemannian geometry • Topics: ↑mathematics, ↑math, ↑maths …   Useful english dictionary

  • elliptic spring — Spring Spring, n. [AS. spring a fountain, a leap. See {Spring}, v. i.] 1. A leap; a bound; a jump. [1913 Webster] The prisoner, with a spring, from prison broke. Dryden. [1913 Webster] 2. A flying back; the resilience of a body recovering its… …   The Collaborative International Dictionary of English

  • elliptic geometry — Non Euclidean geometry that rejects Euclid s fifth postulate (the parallel postulate) and modifies his second postulate. It is also known as Riemannian geometry, after Bernhard Riemann. It asserts that no line passing through a point not on a… …   Universalium

  • Line (geometry) — Three lines the red and blue lines have the same slope, while the red and green ones have same y intercept …   Wikipedia

  • Elliptic functions — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. {Defunct}.] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… …   The Collaborative International Dictionary of English

  • Line segment — The geometric definition of a line segment …   Wikipedia

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