HYPERBOLIC

{ Hy′per‐bol″ic (?), Hy′per‐bol″ic‐al (?), } a. [[L. hyperbolicus, Gr. �: cf. F. hyperbolique.]] 1. 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola.
2. 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.