The DICT Development Group

  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]

  hyperbolic
       adj 1: enlarged beyond truth or reasonableness; "had an exaggerated
              (or inflated) opinion of himself"; "a hyperbolic
              style" [syn: exaggerated, inflated]
       2: of or relating to a hyperbola; "hyperbolic functions"