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Through any point in space, there is exactly one straight line Parallel to a given straight line. This Axiom is equivalent to the Parallel Axiom.
See also 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.