Related pages Duality principle Affine derivative Projective closure Affine planes Ternary fields

A projective plane is an incidence structure which satisfies the following three axioms.

• Each two distinct points are on a unique line.
• Each two distinct lines intersect in a unique point.
• There are four distinct points no three of which are on a common line.

Primary examples of projective planes are the projective planes over vector spaces. More general projective planes are coordinatized over ternary fields.

See also

• Finite projective planes