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hyperparallel. In DICTIOUS you will not only get to know all the dictionary meanings for the word
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English
Etymology
From hyper- + parallel.
Pronunciation
Adjective
hyperparallel (not comparable)
- (geometry) 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.
1995, Howard Eves, College Geometry, page 246:Two hyperparallel lines have one and only one common perpendicular.
2012, G. E. Martin, The Foundations of Geometry and the Non-Euclidean Plane, page 357: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.
2018, Karol Borsuk, Wanda Szmielew, Foundations of Geometry, page 292: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.