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- 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 wikiPageRevisionID "604169064".
- Projective_plane hasPhotoCollection Projective_plane.
- Projective_plane title "Projective plane".
- Projective_plane urlname "ProjectivePlane".
- Projective_plane subject Category:Algebraic_geometry.
- Projective_plane subject Category:Euclidean_plane_geometry.
- Projective_plane subject Category:Incidence_geometry.
- Projective_plane subject Category:Projective_geometry.
- Projective_plane comment "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.".
- Projective_plane label "Piano proiettivo".
- Projective_plane label "Plan projectif".
- Projective_plane label "Plano projectivo".
- Projective_plane label "Plano proyectivo".
- Projective_plane label "Projectief vlak".
- Projective_plane label "Projective plane".
- Projective_plane label "Projektive Ebene".
- Projective_plane label "Проективная плоскость".
- Projective_plane label "مستوي إسقاط".
- Projective_plane label "射影平面".
- Projective_plane label "射影平面".
- Projective_plane sameAs Projektivní_rovina.
- Projective_plane sameAs Projektive_Ebene.
- Projective_plane sameAs Plano_proyectivo.
- Projective_plane sameAs Plan_projectif.
- Projective_plane sameAs Piano_proiettivo.
- Projective_plane sameAs 射影平面.
- Projective_plane sameAs Projectief_vlak.
- Projective_plane sameAs Plano_projectivo.
- Projective_plane sameAs m.062ns.
- Projective_plane sameAs Q1475760.
- Projective_plane sameAs Q1475760.
- Projective_plane wasDerivedFrom Projective_plane?oldid=604169064.
- Projective_plane depiction Railroad-Tracks-Perspective.jpg.
- Projective_plane isPrimaryTopicOf Projective_plane.
