Source : Webster's Revised Unabridged Dictionary (1913)

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.

   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.

   {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.