Euclid's Parallel Postulate - Mathematics & Logic - Pure Mathematics Dictionary Definition A foundational axiom of Euclidean geometry asserting that given a straight line and a point not on it, there exists exactly one straight line through the point that does not meet the given line (i.e., is parallel to it).
Euclid's Parallel Postulate - Mathematics & Logic - Pure Mathematics Dictionary Definition A foundational axiom of Euclidean geometry asserting that given a straight line and a point not on it, there exists exactly one straight line through the point that does not meet the given line (i.e., is parallel to it).