Plane geometry (disambiguation)
In mathematics, plane geometry may refer to the geometry of a two-dimensional geometric object called a plane.
Most times it refers to Euclidean plane geometry, the geometry of plane figures,
More specifically it can refer to:
- Euclidean plane geometry:
- Cartesian geometry, the study of geometry using a coordinate system
- Two-dimensional space
- synthetic geometry, the study of geometry using a logical deduction and compass and straightedge constructions
- geometry of a projective plane,
- often the real projective plane,
- but possibly the complex projective plane or projective plane defined over some other field,
- either infinite or finite, such as the Fano plane, or others;
- geometry of an affine plane,
- geometry of a non-Euclidean plane,
- either the hyperbolic plane,
- or the elliptic plane,
- or the geometry of the related two-dimensional spherical geometry.
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