projective plane

English

Noun

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 with Richard M. Foote, chapter 6, in Abstract Algebra‎^[1], →ISBN, page 210:

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

Hypernyms

• projective space

Hyponyms

• Fano plane
• real projective plane