Hyperbolic

Alternative forms

• hyperbolick obsolete

hyperbole + -ic

Full definition of hyperbolic

Adjective

1. of or relating to hyperbole
2. using hyperbole: exaggeratedThis 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), At the risk of being slightly hyperbolic, the fourth season of The Simpsons is the greatest thing in the history of the universe.

hyperbola + -ic

Adjective

1. Of or pertaining to an 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 0471610186, page 512 http://books.google.com/books?id=SZ6Ldatd7OAC&pg=PA512&dq=hyperbolic:In this configuration the on-axis image is produced at the real hyperbolic focus (f_s2) but off-axis performance suffers.
2. Indicates that the specified function is a hyperbolic function rather than a .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 University Press, ISBN 0198500629, page 8, proposition 0.10 http://books.google.com/books?id=DLAGEBfEgEUC&pg=PA8&dq=hyperbolic:There is a universal constant $m\_0>0$ such that every hyperbolic surface $$

1. (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 University Press, ISBN 0521003504, page 6 http://books.google.com/books?id=RjbQdcP7DgwC&pg=PA6&dq=hyperbolic:A hyperbolic isometry $f$ has two (distinct) fixed points on $$

1. (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 University Press, ISBN 0521003504, page 6 http://books.google.com/books?id=RjbQdcP7DgwC&pg=PA6&dq=hyperbolic:Exactly one hypercycle is a hyperbolic geodesic, and this is called the axis $A\_f$ of $$

Derived terms