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Proclus' Axiom

If a line intersects one of two parallel lines, it must intersect the other also. This Axiom is equivalent to the Parallel Axiom.


References

Dunham, W. ``Hippocrates' Quadrature of the Lune.'' Ch. 1 in Journey Through Genius: The Great Theorems of Mathematics. New York: Wiley, p. 54, 1990.




© 1996-9 Eric W. Weisstein
1999-05-26