Defn: Belonging to the hyperbola; having the nature of the hyperbola.
2. (Rhet.)
Defn: 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.
HYPERBOLICALLY
Hy`per*bol"ic*al*ly, adv.
1. (Math.)
Defn: In the form of an hyperbola.
2. (Rhet.)
Defn: With exaggeration; in a manner to express more or less than the truth. Sir W. Raleigh.
HYPERBOLIFORM
Hy`per*bol"i*form, a. Etym: [Hyperbola + -form.]
Defn: Having the form, or nearly the form, of an hyperbola.