necessarily embedded in a projective plane. Indeed, there exist abstract ovals which can not lie in any projective plane. In a projective plane a set Ω of points...
33 KB (4,186 words) - 06:38, 23 April 2024
are often used as synonyms for "egg-shaped". In a projective plane a set Ω of points is called an oval, if: Any line l meets Ω in at most two points, and...
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Language Cassini oval Oval (projective plane) The Oval, Singapore, a road within Seletar Aerospace Park off Seletar Aerospace Drive Oval, London, a district...
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Outline of geometry (section Euclidean plane geometry)
infinity Projective line Projective plane Oval (projective plane) Roman surface Projective space Complex projective line Complex projective plane Fundamental...
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concept of plane duality readily extends to space duality and beyond that to duality in any finite-dimensional projective geometry. A projective plane C may...
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a Desarguesian plane. The theorem of Desargues is true in all projective spaces of dimension not 2; in other words, the only projective spaces of dimension...
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1)-arc is called an oval and, if q is even, a (q + 2)-arc is called a hyperoval. Every conic in the Desarguesian projective plane PG(2,q), i.e., the set...
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Conic section (redirect from Quadratic plane curve)
} . A projective mapping is a finite sequence of perspective mappings. As a projective mapping in a projective plane over a field (pappian plane) is uniquely...
69 KB (9,173 words) - 01:09, 4 March 2024
In projective geometry an ovoid is a sphere like pointset (surface) in a projective space of dimension d ≥ 3. Simple examples in a real projective space...
10 KB (1,520 words) - 23:15, 4 January 2021
homogeneous coordinates ( x : y : z ) {\displaystyle (x:y:z)} for the projective plane; or the inhomogeneous version for the affine space determined by setting...
20 KB (2,878 words) - 13:24, 13 August 2024