Projective Plane

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The projective plane is the set of lines in the Euclidean plane that pass through the origin. It can also be viewed as the Euclidean plane together with a line at infinity.

Projective plane is a college-level concept that would be first encountered in a topology course.


Line: A line is the infinite extension in both directions of a line segment, giving the path of shortest distance between two points in Euclidean space.
Origin: The origin is the point with all-zero coordinates in Cartesian coordinates, or the central point in polar coordinates.

Classroom Articles on Topology (Up to College Level)

  • Closed Set
  • Open Set
  • Dimension
  • Point-Set Topology
  • Homeomorphism
  • Projective Space
  • Metric
  • Subspace
  • Metric Space
  • Topological Space
  • Möbius Strip
  • Topology
  • Neighborhood
  • Torus