Hyperbolic vs Hyperbolical - What's the difference?

hyperbolic | hyperbolical |

As adjectives the difference between hyperbolic and hyperbolical

is that hyperbolic is of or relating to hyperbole while hyperbolical is hyperbolic.

hyperbolic

English

Alternative forms

* hyperbolick (obsolete)

Etymology 1

Adjective

(en adjective)

of or relating to hyperbole

using hyperbole: exaggerated

This hyperbolical epitaph. — Fuller.

* {{quote-news

, year=2012 , date=May 20 , author=Nathan Rabin , title=TV: Review: THE SIMPSONS (CLASSIC): “Marge Gets A Job” (season 4, episode 7; originally aired 11/05/1992) , work=The Onion AV Club citation , page= , passage=At the risk of being slightly hyperbolic , the fourth season of The Simpsons is the greatest thing in the history of the universe.}}

Etymology 2

Adjective

(-)

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 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.

The hyperbolic cosine of zero is one.

(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, , 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 $R$ has an embedded ' hyperbolic disk with radius greater than $m_0$ .

(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 , , 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 $\partial\mathcal H$ .

(topology) 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 $f$ .

Derived terms

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