hyperboloid of one sheet

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• Hyperboloid — Not to be confused with Hyperbolic paraboloid. Hyperboloid of one sheet …   Wikipedia

• hyperboloid — hyperboloidal, adj. /huy perr beuh loyd /, n. Math. a quadric surface having a finite center and some of its plane sections hyperbolas. Equation: x2/a2 + y2/b2 z2/c2 = 1. [1720 30; HYPERBOL(A) + OID] * * * ▪ mathematics       the open surface… …   Universalium

• Hyperboloid model — In geometry, the hyperboloid model, also known as the Minkowski model or the Lorentz model (after Hermann Minkowski and Hendrik Lorentz), is a model of n dimensional hyperbolic geometry in which points are represented by the points on the forward …   Wikipedia

• sheet — sheet1 sheetless, adj. sheetlike, adj. /sheet/, n. 1. a large rectangular piece of cotton, linen, or other material used as an article of bedding, commonly spread in pairs so that one is immediately above and the other immediately below the… …   Universalium

• sheet — I. noun Etymology: Middle English shete, from Old English scēte, scīete; akin to Old English scēat edge, Old High German scōz flap, skirt Date: before 12th century 1. a. a broad piece of cloth; especially bedsheet b. sail 1a(1) 2 …   New Collegiate Dictionary

• Ruled surface — A hyperboloid of one sheet is a doubly ruled surface: it can be generated by either of two families of straight lines. In geometry, a surface S is ruled if through every point of S there is a straight line that lies on S. The most familiar… …   Wikipedia

• Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

• algebraic surface —       in three dimensional space, a surface the equation of which is f(x, y, z) = 0, with f(x, y, z) a polynomial in x, y, z. The order of the surface is the degree of the polynomial equation. If the surface is of the first order, it is a plane.… …   Universalium

• de Sitter space — In mathematics and physics, a de Sitter space is the analog in Minkowski space, or spacetime, of a sphere in ordinary, Euclidean space. The n dimensional de Sitter space , denoted dSn, is the Lorentzian manifold analog of an n sphere (with its… …   Wikipedia

• quadric — The three dimensional surface represented by a general second degree equation in three variables. By a suitable choice of co ordinates sucha an equation can be reduced to one of the following standard equations If all of the ± are + then it… …   Dictionary of automotive terms

• Quadric — In mathematics, a quadric, or quadric surface, is any D dimensional hypersurface defined as the locus of zeros of a quadratic polynomial. In coordinates {x 0, x 1, x 2, ldots, x D}, the general quadric is defined by the algebraic equation… …   Wikipedia