- projective quadric
- мат. проективная квадрика
Большой англо-русский и русско-английский словарь. 2001.
projective quadric
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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
Projective geometry — is a non metrical form of geometry, notable for its principle of duality. Projective geometry grew out of the principles of perspective art established during the Renaissance period, and was first systematically developed by Desargues in the 17th … 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
Complex projective plane — In mathematics, the complex projective plane, usually denoted CP2, is the two dimensional complex projective space. It is a complex manifold described by three complex coordinates where, however, the triples differing by an overall rescaling are… … Wikipedia
Klein quadric — The lines of a 3 dimensional projective space S can be viewed as points of a 5 dimensional projective space T. In that 5 space T the points that represent a line of S lie on a hyperbolic quadric Q known as the Klein quadric.If the underlying… … Wikipedia
Fake projective plane — For Freedman s example of a non smoothable manifold with the same homotopy type as the complex projective plane, see 4 manifold. In mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have… … Wikipedia
Ovoid (projective geometry) — In PG(3,q), with q a prime power greater than 2, an ovoid is a set of q2 + 1 points, no three of which collinear (the maximum size of such a set).[1] When q = 2 the largest set of non collinear points has size eight and is the complement of a… … Wikipedia
Conformal geometry — In mathematics, conformal geometry is the study of the set of angle preserving (conformal) transformations on a space. In two real dimensions, conformal geometry is precisely the geometry of Riemann surfaces. In more than two dimensions,… … 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
Plücker coordinates — In geometry, Plücker coordinates, introduced by Julius Plücker in the 19th century, are a way to assign six homogenous coordinates to each line in projective 3 space, P 3. Because they satisfy a quadratic constraint, they establish a one to one… … Wikipedia
Segre embedding — In mathematics, the Segre embedding is used in projective geometry to consider the cartesian product of two or more projective spaces as a projective variety. It is named after Corrado Segre. Contents 1 Definition 2 Discussion 3 Properties … Wikipedia
