hyperparallel

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adjective

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.

Scrabble 23
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Meanings

adjectivehyperparallel (not comparable)
  1. not comparableIn 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
    2 more examples

    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

    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

Origin

From hyper- + parallel.

Full word history & related roots →
Cite this entry
APA

hyperparallel. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/hyperparallel

MLA

“hyperparallel.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/hyperparallel. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “hyperparallel,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/hyperparallel.

Source: hyperparallel on Wiktionary, CC BY-SA 4.0.