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

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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

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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

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