projective plane

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projective plane (plural projective planes)

  1. (geometry) A plane in which any pair of distinct points determine a line and any pair of distinct lines intersect at a point.
    • 2004, David S. Dummit & Richard M. Foote, chapter 6, in Abstract Algebra[1], ISBN 0-471-43334-9, page 210:
      Generally, a projective plane of "order" N has points, and the same number of lines.