parallel axiom

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Related to Parallel postulate: Euclid's fifth axiom

parallel axiom

[¦par·ə‚lel ′ak·sē·əm]
(mathematics)
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.
References in periodicals archive ?
Finally, in 1871, Klein proved that the entire theory of Projective Geometry is independent of the Parallel Postulate.
5, the parallel postulate, as well, since any two "straight lines" in an elliptic plane meet.
Since we have derived (21) without assuming the parallel postulate.

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