hyperbolic

English

Alternative forms

Pronunciation

  • Rhymes: -ɒlɪk

Etymology 1

hyperbole +‎ -ic

Adjective

hyperbolic (comparative more hyperbolic, superlative most hyperbolic)

  1. of or relating to hyperbole
  2. using hyperbole: exaggerated
    This hyperbolical epitaph. — Fuller.
    • 2012 May 20, Nathan Rabin, “TV: Review: THE SIMPSONS (CLASSIC): “Marge Gets A Job” (season 4, episode 7; originally aired 11/05/1992)”, in The Onion AV Club‎:
      At the risk of being slightly hyperbolic, the fourth season of The Simpsons is the greatest thing in the history of the universe.
Translations

Etymology 2

hyperbola +‎ -ic

Adjective

hyperbolic (not comparable)

  1. Of or pertaining to a hyperbola.
    • 1988, R. F. Leftwich, "Wide-Band Radiation Thermometers", chapter 7 of, David P. DeWitt and Gene D. Nutter, editors, Theory and Practice of Radiation Thermometry, →ISBN, page 512 :
      In this configuration the on-axis image is produced at the real hyperbolic focus (fs2) but off-axis performance suffers.
  2. Indicates that the specified function is a hyperbolic function rather than a trigonometric function.
    The hyperbolic cosine of zero is one.
  3. (mathematics, of a metric space or a geometry) Having negative curvature or sectional curvature.
    • 1998, Katsuhiko Matsuzaki and Masahiko Taniguchi, Hyperbolic Manifolds and Kleinian Groups, 2002 reprint, Oxford, →ISBN, page 8, proposition 0.10 :
      There is a universal constant such that every hyperbolic surface has an embedded hyperbolic disk with radius greater than .
  4. (geometry, topology, of an automorphism) Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.
    • 2001, A. F. Beardon, "The Geometry of Riemann Surfaces", in, E. Bujalance, A. F. Costa, and E. Martínez, editors, Topics on Riemann Surfaces and Fuchsian Groups, Cambridge, →ISBN, page 6 :
      A hyperbolic isometry has two (distinct) fixed points on .
  5. (topology) Of, pertaining to, or in a hyperbolic space (a space having negative curvature or sectional curvature).
    • 2001, A. F. Beardon, "The Geometry of Riemann Surfaces", in, E. Bujalance, A. F. Costa, and E. Martínez, editors, Topics on Riemann Surfaces and Fuchsian Groups, Cambridge, →ISBN, page 6 :
      Exactly one hypercycle is a hyperbolic geodesic, and this is called the axis of .
Derived terms
Translations
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