In mathematics, plane geometry may mean:
- geometry of a plane,
- geometry of the Euclidean plane,
or sometimes a plane is any flat surface that extends without end in all directions. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and Euclidean geometry is a mathematical system attributed to the Greek Mathematician Euclid of Alexandria.
- geometry of a projective plane, most commonly the real projective plane but possibly the complex projective plane, Fano plane or others;
- geometry of the hyperbolic plane or two-dimensional spherical geometry. See Real projective plane and Complex projective plane, for the cases met as manifolds of respective dimension 2 and 4 In Mathematics Construction Consider a Sphere, and let the Great circles of the sphere be "lines" and let pairs of Antipodal points be "points" In Mathematics, the complex projective plane, usually denoted CP 2 is the two-dimensional Complex projective space. In Finite geometry, the Fano plane (after Gino Fano) is the Projective plane with the least number of points and lines 7 each In Spherical geometry is the Geometry of the two- Dimensional surface of a Sphere.
See also: plane curve. In mathematics a plane curve is a Curve in a Euclidian plane (cf
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