Category:Definitions/Projective Planes

This category contains definitions related to Projective Planes.
Related results can be found in Category:Projective Planes.

Let $\FF$ be a field whose zero is $0$.

The projective plane over $\FF$ is the set of points represented by ordered triples $\tuple {x, y, z}$ such that:

$x, y, z$ are not all equal to $0$

$x, y, z \in \FF$

for $\lambda \in \FF$ such that $\lambda \ne 0$, the ordered triples $\tuple {x, y, z}$ and $\tuple {\lambda x, \lambda y, \lambda z}$ represent the same point.