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The Collaborative International Dictionary of English v.0.48 (gcide)

Hyperbolic \Hy`per*bol"ic\, Hyperbolical \Hy`per*bol"ic*al\, a.
[L. hyperbolicus, Gr. ?: cf. F. hyperbolique.]
1. (Math.) Belonging to the hyperbola; having the nature of
the hyperbola.
[1913 Webster]

2. (Rhet.) 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.
[1913 Webster]

{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.
[1913 Webster]

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