degenerate quadric

degenerate quadric
мат. вырожденная квадрика

Большой англо-русский и русско-английский словарь. 2001.

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  • Quadric (projective geometry) — In projective geometry a quadric is the set of points of a projective space where a certain quadratic form on the homogeneous coordinates becomes zero. It may also be defined as the set of all points that lie on their dual hyperplanes, under some …   Wikipedia

  • 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

  • Cylinder (geometry) — A right circular cylinder A cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given line segment, the axis of the cylinder. The solid enclosed by this surface and by two… …   Wikipedia

  • Lie sphere geometry — is a geometrical theory of planar or spatial geometry in which the fundamental concept is the circle or sphere. It was introduced by Sophus Lie in the nineteenth century. [The definitive modern textbook on Lie sphere geometry is Harvnb|Cecil|1992 …   Wikipedia

  • Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… …   Wikipedia

  • Dupin cyclide — A Dupin cyclide In mathematics, a Dupin cyclide or cyclide of Dupin is any geometric inversion of any standard torus. In particular, the standard (or circular) tori are themselves examples of Dupin cyclides. They were discovered by (and named… …   Wikipedia

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

  • Enumerative geometry — In mathematics, enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions, mainly by means of intersection theory.HistoryThe problem of Apollonius is one of the earliest examples… …   Wikipedia

  • Quadratic polynomial — In mathematics, a quadratic polynomial is a polynomial whose degree is 2. A quadratic polynomial with three terms is called a quadratic trinomial. Some examples of quadratic polynomials are ax 2 + bx + c , 2 x 2 − y 2, and xy + xz + yz… …   Wikipedia

  • Cone (geometry) — Not to be confused with the conical surface.. A right circular cone and an oblique circular cone A cone is an n dimensional geometric shape that tapers smoothly from a base (usually flat and circular) to a point called the apex or vertex.… …   Wikipedia

  • Enriques-Kodaira classification — In mathematics, the Enriques Kodaira classification is a classification of compact complex surfaces. For complex projective surfaces it was done by Federigo Enriques, and Kunihiko Kodaira later extended it to non algebraic compact surfaces. It… …   Wikipedia


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