Incidence Axioms

The eight of Hilbert's axioms which concern collinearity and intersection; they include the first four of Euclid's postulates.

See also

Absolute Geometry, Congruence Axioms, Continuity Axioms, Euclid's Postulates, Hilbert's Axioms, Ordering Axioms, Parallel Postulate

Explore with Wolfram|Alpha


Hilbert, D. The Foundations of Geometry, 2nd ed. Chicago, IL: Open Court, 1980.Iyanaga, S. and Kawada, Y. (Eds.). "Hilbert's System of Axioms." §163B in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 544-545, 1980.

Referenced on Wolfram|Alpha

Incidence Axioms

Cite this as:

Weisstein, Eric W. "Incidence Axioms." From MathWorld--A Wolfram Web Resource.

Subject classifications