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.