- non-Desarguesian plane
- недезаргова плоскость
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
non-Desarguesian plane
Смотреть что такое "non-Desarguesian plane" в других словарях:
Non-Desarguesian plane — In mathematics, a non Desarguesian plane, named after Gérard Desargues, is a projective plane that does not satisfy Desargues s theorem, or in other words a plane that is not a Desarguesian plane. The theorem of Desargues is valid in all… … Wikipedia
Desarguesian plane — In projective geometry a Desarguesian plane, named after Gérard Desargues, is a plane in which Desargues theorem holds. The ordinary real projective plane is a Desarguesian plane. More generally any projective plane over a division ring is… … Wikipedia
Moulton plane — The Moulton plane. Lines sloping down and to the right are bent where they cross the y axis. In incidence geometry, the Moulton plane is an example of an affine plane in which Desargues theorem does not hold. It is named after the American… … Wikipedia
Oval (projective plane) — In mathematics, an oval in a projective plane is a set of points, no three collinear, such that there is a unique tangent line at each point (a tangent line is defined as a line meeting the point set at only one point, also known as a 1 secant).… … Wikipedia
Moufang plane — In mathematics, a Moufang plane, named for Ruth Moufang, is a type of projective plane, characterised by the property that the group of automorphisms fixing all points of any given line acts transitively on the points not on the line. In other… … Wikipedia
Projective plane — See real projective plane and complex projective plane, for the cases met as manifolds of respective dimension 2 and 4 In mathematics, a projective plane has two possible definitions, one of them coming from linear algebra, and another (which is… … Wikipedia
Moulton-Ebene — Geraden in der Moulton Ebene Die Moulton Ebene ist ein oft benutztes Beispiel für eine affine Ebene, in der der Satz von Desargues nicht gilt, also einer nichtdesargueschen Ebene. Damit liefern ihre Koordinaten zugleich ein Beispiel eines… … Deutsch Wikipedia
Gérard Desargues — Girard Desargues Girard Desargues (February 21 1591–October 1661) was a French mathematician and engineer, who is considered one of the founders of projective geometry. Desargues theorem, the Desargues graph, and the crater Desargues on the Moon… … Wikipedia
Moulton — is a word that may refer to various things. Contents 1 Places in the United Kingdom 2 Places in the U.S. 3 Places in Antarctica … Wikipedia
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
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
