Dictionary

hyperbolic en · ADJ · etymology 1

Pronunciation

• /ˌhaɪ.pɚˈbɔl.ɪk/ (US)
• (Southern-England) audio
• hīpərbŏl'ĭk (US)

Etymology

From Latin hyperbolic(us), from Ancient Greek ὑπερβολικός (huperbolikós). First attested in the 15th century. By surface analysis, hyperbol(e) + -ic.

Meanings

1. Of or relating to hyperbole.
2. Using hyperbole: exaggerated.
   • At the risk of being slightly hyperbolic, the fourth season of The Simpsons is the greatest thing in the history of the universe. 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:
3. (qualifier:color theory) Of a perceived color, having a saturation exceeding 100%.
   • Using the techniques already explored, we can contrive to activate a coding triplet in any one of those four extremal corners. If one fixates at length on a pale blue-green stimulus, as in Figure 18, and then refixates on an already maximally saturated orange surface, then the resituated f/p vector will yield an activation triplet within the farthest corner of the cube, beyond the limits of the classical spindle. The H–J theory of our internal color representations entails that one should there find a circular after-image of a hyperbolic orange, an orange that is more "ostentatiously orange" than any (non-self-luminous) orange you have ever seen, or ever will see, as the objective color of a physical object. Row 1 of Figure 19 will allow you, once more, to test such a prediction for yourself. 2005, Paul Churchland, “Chimerical colors: some phenomenological predictions from cognitive neuroscience”, in Philosophical Psychology, volume 18, number 5, →DOI, archived from the original on 16 Jun 2022, page 553:

Forms

Coordinates

self-luminous · stygian

Deriveds

hyperbolically

Hypernyms

chimerical

Synonyms

exaggerative

Translations (20)

uk гіперболі́чний (exaggerated) · pt hiperbólico (exaggerated) · eo hiperbola (exaggerated) · de hyperbolisch (exaggerated) · sv överdriven (exaggerated) · ga urtheilgeach (exaggerated) · fi hyperbolinen (exaggerated) · gv ard-vooadagh (exaggerated) · fr hyperbolique (exaggerated) · de übertrieben (exaggerated) · cs nadnesený (exaggerated) · es hiperbólico (exaggerated) · ru гиперболи́ческий (exaggerated) · it iperbolico (exaggerated) · gl hiperbólico (exaggerated) · ca hiperbòlic (exaggerated) · cs nadsazený (exaggerated) · af hiperbolies (exaggerated) · ru преувели́ченный (exaggerated) · ga áibhéalach (exaggerated)

hyperbolic en · ADJ · etymology 2

Pronunciation

• /ˌhaɪ.pɚˈbɔl.ɪk/ (US)
• (Southern-England) audio
• hīpərbŏl'ĭk (US)

Etymology

First attested in 1676. By surface analysis, hyperbol(a) + -ic.

Meanings

1. (not-comparable) Of or pertaining to a hyperbola.
   • In this configuration the on-axis image is produced at the real hyperbolic focus (fₛ₂) but off-axis performance suffers. 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, page 512 http://books.google.com/books?id=SZ6Ldatd7OAC&pg=PA512&dq=hyperbolic
2. (not-comparable) Indicates that the specified function is a hyperbolic function rather than a trigonometric function.
   • The hyperbolic cosine of zero is one.
3. (not-comparable, of a metric space or a geometry) Having negative curvature or sectional curvature.
   • 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. 1998, Katsuhiko Matsuzaki and Masahiko Taniguchi, Hyperbolic Manifolds and Kleinian Groups, 2002 reprint, Oxford, page 8, proposition 0.10 http://books.google.com/books?id=DLAGEBfEgEUC&pg=PA8&dq=hyperbolic
4. (not-comparable, of an automorphism) Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.
   • A hyperbolic isometry f has two (distinct) fixed points on ∂ℋ. 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, page 6 http://books.google.com/books?id=RjbQdcP7DgwC&pg=PA6&dq=hyperbolic
5. (not-comparable) Of, pertaining to, or in a hyperbolic space (a space having negative curvature or sectional curvature).
   • Exactly one hypercycle is a hyperbolic geodesic, and this is called the axis A_f of f. 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, page 6 http://books.google.com/books?id=RjbQdcP7DgwC&pg=PA6&dq=hyperbolic

Forms

Coordinates

parabolic

Deriveds

hyperbolic secant · hyperbolic secant distribution · hyperbolic discounting · hyperbolic triangle · hyperbolic tangent · hyperbolic navigation system · hyperbolic polar sine · nonhyperbolic · hyperbolic polynomial · antihyperbolic · superhyperbolic · quasihyperbolic · hyperbolic polyhedron · pseudohyperbolic · hyperbolic space · hyperbolic cotangent · hyperbolic angle · hyperbolic trajectory · hyperbolic cylinder · hyperbolic sine · hyperbolic plane · hyperbolic motion · hyperbolic geometry · hyperbolic-orthogonal · hyperbolicity · arc-hyperbolic function · hyperbolic function · hyperbolic sine integral · hyperbolic disk · hyperbolic algebra · hyperbolic tetrahedron · δ-hyperbolic · hyperbolic coordinate · hyperbolic group · hyperbolic sector · hyperbolic cosine · hyperbolic partial differential equation · hyperbolike · hyperbolic quaternion · hyperbolic differential equation · hyperbolic helicoid · hyperbolic orbit · hyperbolic link · hyperbolic number · hyperbolic icosahedron · hyperbolic set · hyperbolic lemniscate function · inverse hyperbolic function · hyperbolic point · hyperbolic cosecant · subhyperbolic · hyperbolic 3-manifold · hyperbolic dodecahedron · hyperbolic paraboloid · hyperbolic map · hyperbolic inverse function · hyperbolic small dodecahedral honeycomb · hyperboloid · hyperbolic automorphism · hyperbolic color · hyperbolic rotation · hyperbolic umbilic catastrophe · hyperbolic metric · ultrahyperbolic · hyperbolic cosine integral · hyperbolic cube · hyperbolic growth · hyperbolic octahedron · hyperbolic colour · hyperbolic time chamber · hyperbolically · hyperbolic fixed point

Translations (19)

ca hiperbòlic (pertaining to a mathematical hyperbola) · kk гиперболалық (pertaining to a mathematical hyperbola) · ru гиперболи́ческий (pertaining to a mathematical hyperbola) · cs hyperbolický (pertaining to a mathematical hyperbola) · uk гіперболі́чний (pertaining to a mathematical hyperbola) · pl hiperboliczny (pertaining to a mathematical hyperbola) · da hyperbolsk (pertaining to a mathematical hyperbola) · sv hyperbolisk (pertaining to a mathematical hyperbola) · fi hyperbolinen (pertaining to a mathematical hyperbola) · hi अतिपरवलयिक (pertaining to a mathematical hyperbola) · is breiðger (pertaining to a mathematical hyperbola) · ga hipearbóileach (pertaining to a mathematical hyperbola) · gu અતિવલયાકાર (pertaining to a mathematical hyperbola) · fr hyperbolique (pertaining to a mathematical hyperbola) · de hyperbolisch (pertaining to a mathematical hyperbola) · gl hiperbólico (pertaining to a mathematical hyperbola) · es hiperbólico (pertaining to a mathematical hyperbola) · nl hyperbolisch (pertaining to a mathematical hyperbola) · pt hiperbólico (pertaining to a mathematical hyperbola)