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projective configuration

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  • 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

  • Configuration (geometry) — Configurations (4362) (a complete quadrangle, at left) and (6243) (a complete quadrilateral, at right). In mathematics, specifically projective geometry, a configuration in the plane consists of a finite set of points, and a finite arrangement of …   Wikipedia

  • Pappus configuration — In projective geometry, the Pappus configuration consists of a pair (( A , B , C ), ( D , E , F )) of triplets of points, which pair is located either on a pair of lines or on two sides of a conic section, with a hexagon AECDBF defined on the… …   Wikipedia

  • Dualité (Géométrie Projective) — La dualité projective, crée par Jean Victor Poncelet (1788 1867), père fondateur de la géométrie projective, bien que beaucoup moins enseignée que la dualité en algèbre linéaire, est probablement la plus belle notion de dualité que l on rencontre …   Wikipédia en Français

  • Dualité (géométrie projective) — Pour les articles homonymes, voir Dualité (mathématiques) et Dualité. La dualité projective, crée par Jean Victor Poncelet (1788 1867), père fondateur de la géométrie projective, bien que beaucoup moins enseignée que la dualité en algèbre… …   Wikipédia en Français

  • Möbius configuration — Example of Möbius configuration; the face planes of red tetrahedron are shown on the top of the image; the blue one on the bottom. The vertex coordinates of the red tetrahedron are: (0,0,0),(0,0,1),(0,1,0),(1,0,0). The vertex coordinates of the… …   Wikipedia

  • Théorème fondamental de la géométrie projective — Deux théorèmes de la géométrie projective s appellent théorème fondamental de la géométrie projective : le premier théorème fondamental de la géométrie projective affirme que, quels que soient les repères projectifs d un espace projectif de… …   Wikipédia en Français

  • Desargues' theorem — Perspective triangles. Corresponding sides of the triangles, when extended, meet at points on a line called the axis of perspectivity. The lines which run through corresponding vertices on the triangles meet at a point called the center of… …   Wikipedia

  • Möbius–Kantor graph — Named after August Ferdinand Möbius and S. Kantor Vertices 16 …   Wikipedia

  • Fano plane — In finite geometry, the Fano plane (after Gino Fano) is the projective plane with the least number of points and lines: 7 each. GeometryPerhaps the best way to view the plane is via linear algebra. Using the standard construction via homogeneous… …   Wikipedia

  • Levi graph — infobox graph name = Levi graph image caption = The Pappus graph, a Levi graph with 18 vertices formed from the Pappus configuration. Vertices labeled with single letters correspond to points in the configuration; vertices labeled with three… …   Wikipedia

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