# Parallelism axiom

From Encyclopedia of Mathematics

The axiom defining the relationship of parallelism in various geometries. See Parallel straight lines; Fifth postulate.

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#### References

[a1] | D. Hilbert, "Grundlagen der Geometrie" , Teubner, reprint (1968) |

[a2] | H.S.M. Coxeter, "Introduction to geometry" , Wiley (1969) pp. 185–186; 396–404 |

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Parallelism axiom.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Parallelism_axiom&oldid=13867