In geometry, a Hilbert plane is a model satisfying certain axioms for plane geometry studied by David Hilbert.
Definition
A Hilbert plane consists of a set of point with certain subsets called lines, and certain relations called betweenness for points on a line, congruence for line segments, and congruence for angles. The have to satisfy some (but not all) of Hilbert's axioms.
References
Hilbert plane Wikipedia(Text) CC BY-SA