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

# Incidence Axioms

## See also

Absolute Geometry, Congruence Axioms, Continuity Axioms, Euclid's Postulates, Hilbert's Axioms, Ordering Axioms, Parallel Postulate## Explore with Wolfram|Alpha

## References

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. https://mathworld.wolfram.com/IncidenceAxioms.html