projective plane

EnglishEdit

NounEdit

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, page 210:
Generally, a projective plane of "order" N has ${\displaystyle N^{2}+N+1}$  points, and the same number of lines.