Plane geometry

In mathematics, plane geometry may refer to:

• Euclidean plane geometry, the geometry of plane figures,
• geometry of a two-dimensional geometric object called a plane,

or, more specifically:

• 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.

See also: plane curve.

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