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...

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...

Language Cassini oval Oval (projective plane) The Oval, Singapore, a road within Seletar Aerospace Park off Seletar Aerospace Drive Oval, London, a district...

infinity Projective line Projective plane Oval (projective plane) Roman surface Projective space Complex projective line Complex projective plane Fundamental...

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...

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...

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...

} . 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...

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...

homogeneous coordinates ⁠ ( x : y : z ) {\displaystyle (x:y:z)} ⁠ for the projective plane; or the inhomogeneous version for the affine space determined by setting...