HYPERBOLIC
hyperbolic, inflated
(adjective) enlarged beyond truth or reasonableness; “a hyperbolic style”
hyperbolic
(adjective) of or relating to a hyperbola; “hyperbolic functions”
Source: WordNet® 3.1
Etymology 1
Adjective
hyperbolic (comparative more hyperbolic, superlative most hyperbolic)
Of or relating to hyperbole.
Using hyperbole: exaggerated.
Etymology 2
Adjective
hyperbolic (not comparable)
Of or pertaining to a hyperbola.
Indicates that the specified function is a hyperbolic function rather than a trigonometric function.
(mathematics, of a, metric space or a geometry) Having negative curvature or sectional curvature.
(geometry, topology, of an automorphism) Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.
(topology) Of, pertaining to, or in a hyperbolic space (a space having negative curvature or sectional curvature).
Source: Wiktionary
Hy`per*bol"ic, Hy`per*bol"ic*al, a. Etym: [L. hyperbolicus, Gr.
hyperbolique.]
1. (Math.)
Definition: Belonging to the hyperbola; having the nature of the hyperbola.
2. (Rhet.)
Definition: Relating to, containing, or of the nature of, hyperbole;
exaggerating or diminishing beyond the fact; exceeding the truth; as,
an hyperbolical expression. "This hyperbolical epitaph." Fuller.
Hyperbolic functions (Math.), certain functions which have relations
to the hyperbola corresponding to those which sines, cosines,
tangents, etc., have to the circle; and hence, called hyperbolic
sines, hyperbolic cosines, etc.
– Hyperbolic logarithm. See Logarithm.
– Hyperbolic spiral (Math.), a spiral curve, the law of which is,
that the distance from the pole to the generating point varies
inversely as the angle swept over by the radius vector.
Source: Webster’s Unabridged Dictionary 1913 Edition