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Related to parallel axiom: Euclid's fifth axiom
parallel axiom[¦par·ə‚lel ′ak·sē·əm]
The axiom of an affine plane which states that if p and L are a point and line in the plane such that p is not on L, then there exists exactly one line that passes through p and does not intersect L.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.