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Parallelism axiom

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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
How to Cite This Entry:
Parallelism axiom. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Parallelism_axiom&oldid=13867