ENGLISH DICTIONARY

Hyperparallel

Definition, Meaning & Examples

Part of speech adjective

Quick meaning: Hyperparallel is an adjective meaning In hyperbolic geometry, lines that do not intersect in a common point in the plane and do not intersect at a common limit point at infinity, but rather, occur outside the limit set by parallel lines which intersect at infinity.

Meaning

In hyperbolic geometry, lines that do not intersect in a common point in the plane and do not intersect at a common limit point at infinity, but rather, occur outside the limit set by parallel lines which intersect at infinity.

Example Sentences

Two hyperparallel lines have one and only one common perpendicular.
Let l and m be two hyperparallel lines. All the transversals to l and m that form congruent corresponding angles with l and m lie in a pencil.
In order that two distinct lines K and L be hyperparallel it is necessary and sufficient that they lie in one plane and that there exists a line M intersecting both of them perpendicularly.

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Sources & Attribution

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