Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Projective_plane> ?p ?o }
- Projective_plane abstract "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 in 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 infinity" where parallel lines intersect. Thus any two lines in a projective plane intersect in one and only one point.Renaissance artists, in developing the techniques of drawing in perspective, laid the groundwork for this mathematical topic. The archetypical example is the real projective plane, also known as the extended Euclidean plane. This example, in slightly different guises, is important in algebraic geometry, topology and projective geometry where it may be denoted variously by PG(2, R), RP2, or P2(R) among other notations. There are many other projective planes, both infinite, such as the complex projective plane, and finite, such as the Fano plane.A projective plane is a 2-dimensional projective space, but not all projective planes can be embedded in 3-dimensional projective spaces. The embedding property is a consequence of a result known as Desargues' theorem.".
- Projective_plane thumbnail Railroad-Tracks-Perspective.jpg?width=300.
- Projective_plane wikiPageExternalLink tx071001294p.pdf.
- Projective_plane wikiPageExternalLink lam.
- Projective_plane wikiPageExternalLink planes.
- Projective_plane wikiPageID "24350".
- Projective_plane wikiPageLength "46330".
- Projective_plane wikiPageOutDegree "121".
- Projective_plane wikiPageRevisionID "677105775".
- Projective_plane wikiPageWikiLink Affine_plane_(incidence_geometry).
- Projective_plane wikiPageWikiLink Algebraic_geometry.
- Projective_plane wikiPageWikiLink Alternative_algebra.
- Projective_plane wikiPageWikiLink American_Journal_of_Mathematics.
- Projective_plane wikiPageWikiLink Associative.
- Projective_plane wikiPageWikiLink Associative_property.
- Projective_plane wikiPageWikiLink Automorphic_function.
- Projective_plane wikiPageWikiLink Automorphism.
- Projective_plane wikiPageWikiLink Bijection.
- Projective_plane wikiPageWikiLink Bijective.
- Projective_plane wikiPageWikiLink Block_design.
- Projective_plane wikiPageWikiLink Bruck-Ryser-Chowla_theorem.
- Projective_plane wikiPageWikiLink Bruck–Ryser–Chowla_theorem.
- Projective_plane wikiPageWikiLink Cartesian_product.
- Projective_plane wikiPageWikiLink Category:Algebraic_geometry.
- Projective_plane wikiPageWikiLink Category:Euclidean_plane_geometry.
- Projective_plane wikiPageWikiLink Category:Incidence_geometry.
- Projective_plane wikiPageWikiLink Category:Projective_geometry.
- Projective_plane wikiPageWikiLink Cayley_plane.
- Projective_plane wikiPageWikiLink Collineation.
- Projective_plane wikiPageWikiLink Combinatorial_design.
- Projective_plane wikiPageWikiLink Commutative.
- Projective_plane wikiPageWikiLink Commutative_property.
- Projective_plane wikiPageWikiLink Complex_number.
- Projective_plane wikiPageWikiLink Complex_projective_plane.
- Projective_plane wikiPageWikiLink Desargues_Theorem.
- Projective_plane wikiPageWikiLink Desargues_theorem.
- Projective_plane wikiPageWikiLink Division_ring.
- Projective_plane wikiPageWikiLink Duality_(projective_geometry).
- Projective_plane wikiPageWikiLink Elliptic_geometry.
- Projective_plane wikiPageWikiLink Equivalence_relation.
- Projective_plane wikiPageWikiLink Ergebnisse_der_Mathematik_und_ihrer_Grenzgebiete.
- Projective_plane wikiPageWikiLink Euler.
- Projective_plane wikiPageWikiLink Fano_plane.
- Projective_plane wikiPageWikiLink Field_(algebra).
- Projective_plane wikiPageWikiLink Field_(mathematics).
- Projective_plane wikiPageWikiLink File:Degenerate_planes_wec.svg.
- Projective_plane wikiPageWikiLink Finite_field.
- Projective_plane wikiPageWikiLink Finite_geometry.
- Projective_plane wikiPageWikiLink Fundamental_theorem_of_projective_geometry.
- Projective_plane wikiPageWikiLink Gaston_Tarry.
- Projective_plane wikiPageWikiLink General_linear_group.
- Projective_plane wikiPageWikiLink Gino_Fano.
- Projective_plane wikiPageWikiLink Girard_Desargues.
- Projective_plane wikiPageWikiLink Graeco-Latin_square.
- Projective_plane wikiPageWikiLink Grassmannian.
- Projective_plane wikiPageWikiLink Group_(mathematics).
- Projective_plane wikiPageWikiLink Gérard_Desargues.
- Projective_plane wikiPageWikiLink Homography.
- Projective_plane wikiPageWikiLink Hughes_plane.
- Projective_plane wikiPageWikiLink Incidence_(geometry).
- Projective_plane wikiPageWikiLink Incidence_matrix.
- Projective_plane wikiPageWikiLink Incidence_relation.
- Projective_plane wikiPageWikiLink Incidence_structure.
- Projective_plane wikiPageWikiLink Integer.
- Projective_plane wikiPageWikiLink Inverse_relation.
- Projective_plane wikiPageWikiLink Involution_(mathematics).
- Projective_plane wikiPageWikiLink John_Playfair.
- Projective_plane wikiPageWikiLink Leonhard_Euler.
- Projective_plane wikiPageWikiLink Line_at_infinity.
- Projective_plane wikiPageWikiLink Manifold.
- Projective_plane wikiPageWikiLink Mathematics.
- Projective_plane wikiPageWikiLink Modular_arithmetic.
- Projective_plane wikiPageWikiLink Moufang_plane.
- Projective_plane wikiPageWikiLink Moulton_plane.
- Projective_plane wikiPageWikiLink Non-Desarguesian_plane.
- Projective_plane wikiPageWikiLink Non-Desarguesian_projective_plane.
- Projective_plane wikiPageWikiLink Octonion.
- Projective_plane wikiPageWikiLink Orthogonal_Latin_squares.
- Projective_plane wikiPageWikiLink Pappuss_hexagon_theorem.
- Projective_plane wikiPageWikiLink Parallel_(geometry).
- Projective_plane wikiPageWikiLink Perspective_(graphical).
- Projective_plane wikiPageWikiLink Planar_ternary_ring.
- Projective_plane wikiPageWikiLink Plane_(geometry).
- Projective_plane wikiPageWikiLink Point_at_infinity.
- Projective_plane wikiPageWikiLink Product_topology.
- Projective_plane wikiPageWikiLink Projective_geometry.
- Projective_plane wikiPageWikiLink Projective_linear_group.
- Projective_plane wikiPageWikiLink Projective_plane.
- Projective_plane wikiPageWikiLink Projective_space.
- Projective_plane wikiPageWikiLink Quaternionic_projective_space.
- Projective_plane wikiPageWikiLink Quotient_space_(topology).
- Projective_plane wikiPageWikiLink Quotient_topology.
- Projective_plane wikiPageWikiLink Real_number.
- Projective_plane wikiPageWikiLink Real_projective_plane.
- Projective_plane wikiPageWikiLink Springer-Verlag.
- Projective_plane wikiPageWikiLink Springer_Science+Business_Media.
- Projective_plane wikiPageWikiLink Steiner_system.
- Projective_plane wikiPageWikiLink Subspace_topology.
- Projective_plane wikiPageWikiLink Symmetry.
- Projective_plane wikiPageWikiLink Thirty-six_officers_problem.