parallel axiom

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Noun1.parallel axiom - only one line can be drawn through a point parallel to another line
Euclidean axiom, Euclid's axiom, Euclid's postulate - (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
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Besides this stream of thought which {tending} to the possibility of a geometry with a different parallel axiom was another which led to the possible existence of more dimensions than three.
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