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elliptic plane

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  • 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 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 curve cryptography — (ECC) is an approach to public key cryptography based on the algebraic structure of elliptic curves over finite fields. The use of elliptic curves in cryptography was suggested independently by Neal Koblitz[1] and Victor S. Miller[2] in 1985.… …   Wikipedia

  • Elliptic cylindrical coordinates — are a three dimensional orthogonal coordinate system that results from projecting the two dimensional elliptic coordinate system in theperpendicular z direction. Hence, the coordinate surfaces are prisms of confocal ellipses and hyperbolae. The… …   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

  • Plane curve — In mathematics, a plane curve is a curve in a Euclidean plane (cf. space curve). The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves. A smooth plane curve is a curve in a …   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 function — In complex analysis, an elliptic function is a function defined on the complex plane that is periodic in two directions (a doubly periodic function) and at the same time is meromorphic. Historically, elliptic functions were discovered as inverse… …   Wikipedia

  • Elliptic boundary value problem — In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual… …   Wikipedia

  • elliptic paraboloid — Geom. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are ellipses, while its sections parallel to the other two coordinate planes are parabolas. Cf. hyperbolic paraboloid. * * * …   Universalium

  • elliptic paraboloid — Geom. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are ellipses, while its sections parallel to the other two coordinate planes are parabolas. Cf. hyperbolic paraboloid …   Useful english dictionary

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