hyperparallel
adjEtymology From hyper- + parallel.
1
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.
- Two hyperparallel lines have one and only one common perpendicular.1995, Howard Eves, College Geometry, page 246:
- 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.2012, G. E. Martin, The Foundations of Geometry and the Non-Euclidean Plane, page 357:
1 more example
- 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.2018, Karol Borsuk, Wanda Szmielew, Foundations of Geometry, page 292: