Hyperbolic

English

Alternative forms

• Template:L
• Template:L Template:Qualifier

Pronunciation

• Template:EnPR, Template:IPA
• Template:Audio
• Template:Rhymes

Etymology 1

From Template:Suffix.

Adjective

1. Of or relating to hyperbole.
2. Using hyperbole: exaggerated.

   Template:Syn

   • Template:Quote-journal
3. Template:Lb Having a saturation exceeding 100%.

   Template:Hyper

   Template:Cot

   • Template:Quote-journal

Translations

• Afrikaans: Template:T
• Catalan: Template:T
• Czech: Template:T, Template:T
• Esperanto: Template:T
• Finnish: Template:T+
• French: Template:T+
• Galician: Template:T
• German: Template:T, Template:T+
• Irish: Template:T, Template:T
• Italian: Template:T+
• Manx: Template:T
• Portuguese: Template:T
• Russian: Template:T+, Template:T+
• Spanish: Template:T+
• Swedish: Template:T+

Etymology 2

Template:Etymid From Template:Suffix.

Adjective

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, Template:ISBN, page 512 [1]:

     In this configuration the on-axis image is produced at the real hyperbolic focus (f_s2) but off-axis performance suffers.

2. Template:Non-gloss

   Template:Ux

3. Template:Lb Having negative curvature or sectional curvature.
   • 1998, Katsuhiko Matsuzaki and Masahiko Taniguchi, Hyperbolic Manifolds and Kleinian Groups, 2002 reprint, Oxford, Template:ISBN, page 8, proposition 0.10 [2]:

     There is a universal constant $m_0>0$ such that every hyperbolic surface $R$ has an embedded hyperbolic disk with radius greater than $m_0$.

4. Template:Lb 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. CostaTemplate:, and E. Martínez, editors, Topics on Riemann Surfaces and Fuchsian Groups, Cambridge, Template:ISBN, page 6 [3]:

     A hyperbolic isometry $f$ has two (distinct) fixed points on $\partial \mathscr{H}$.

5. Template:Lb Of, pertaining toTemplate:, or in a hyperbolic space Template:Gloss.
   • 2001, A. F. Beardon, "The Geometry of Riemann Surfaces", in, E. Bujalance, A. F. CostaTemplate:, and E. Martínez, editors, Topics on Riemann Surfaces and Fuchsian Groups, Cambridge, Template:ISBN, page 6 [4]:

     Exactly one hypercycle is a hyperbolic geodesic, and this is called the axis $A_f$ of $f$.

Translations

• Catalan: Template:T
• Czech: Template:T
• Danish: Template:T
• Dutch: Template:T+
• French: Template:T+
• Galician: Template:T
• German: Template:T
• Gujarati: Template:T
• Hindi: Template:T
• Icelandic: Template:T
• Irish: Template:T
• Kazakh: Template:T
• Polish: Template:T
• Portuguese: Template:T
• Russian: Template:T+
• Spanish: Template:T+
• Swedish: Template:T+