Hy·per·bol·ic Hy·per·bol·ic·al a.
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.”
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.