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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

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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.

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Incidence Axioms

Cite this as:

Weisstein, Eric W. "Incidence Axioms." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IncidenceAxioms.html

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