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Projective plane

In mathematics, a projective plane is a geometric structure that extends the concept of a plane. In the ordinary Euclidean plane, two lines typically intersect at a single point, but there are some pairs of lines (namely, parallel lines) that do not intersect. A projective plane can be thought of as an ordinary plane equipped with additional "points at…

Vector space construction, Finite projective planes & Affine planes

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Overview

Definition

Examples

Vector space construction

Subplanes

Affine planes

Collineations

Plane duality

Correlations

Finite projective planes

Projective planes in higher-dimensional projective spaces

Advanced semantic analysis

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Map overview Semantic statistics

Projective plane

Nodes103
Edges102
Triples268
Avg. degree1.98
Density0.019417
Components1

How this topic connects Entity context

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Projective plane

Top relations

related to References · 128
Projective plane → Adrian, Albert, Algebra, Algebraic Combinatorics, Amer, American Journal, American Mathematical Society, Amsterdam, An, An Introduction, Andrew, Archiv, Band, Basic Algebraic Geometry, Berlin, BF01899210Room, Bhaskar, Boca Raton, Bose, Bull
related to A finite example · 13
Projective plane → Among, P1, P13, P4, P5, P8, Paige, Pi, The, This, To, We, Wexler
related to Finite fields · 13
Projective plane → By Wedderburn's Theorem, Fano, GF, However, In, It, PG, PGL, PΓL, Taking, The, The Fano, These
related to External links · 11
Projective plane → Ch, Eric, Eric Moorhouse, MathWorld, Non-Desarguesian Planes Weisstein, PlanetMath, Projective, Projective Planes, Small Order, Survey, Weibel
related to Correlations · 9
Projective plane → By, If, In, Lσ, PG, Pσ, Qσ, That, These
related to Homography · 9
Projective plane → Another, Automorphic, If, K3, PG, The, Thus, Two, Using
related to Vector space construction · 9
Projective plane → Another, Cartesian, For, In, K3, Let, Let K3, This, Though
related to Classical examples · 8
Projective plane → As, Each, In, R3, RP2, Since, The, This
related to Generalized coordinates · 7
Projective plane → Conversely, Desarguesian, One, OP2, The, The Cayley, They
related to Non-Desarguesian planes · 7
Projective plane → Desarguesian, Galois, Many, Moulton, The, The PG, When

Important terminology Word statistics

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Important terminology

projective plane planes lines points line finite order point called pg two theorem one geometry known space example affine set

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Projective planeis ageometric structure that extends the concept of a plane0.90text
Projective planeis a2-dimensional projective space0.90text
Projective planeis arank 2 incidence structure0.90text
Projective planeis asame as the number of lines incident with any given point0.90text
Projective planeis aone-dimensional subspace0.90text
Projective planeis abijective map of the plane to itself which maps points to points and lines to lines that preserves incidence0.90text
Projective planerelated to A finite exampleThis0.60section
Projective planerelated to A finite exampleWe0.60section
Projective planerelated to A finite exampleP10.60section
Projective planerelated to A finite exampleP130.60section
Projective planerelated to A finite exampleThe0.60section
Projective planerelated to A finite examplePi0.60section

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