Definify.com

Webster 1913 Edition


Hyperbolical

{

Hyˊper-bol′ic

(hīˊpẽr-bŏ′ĭk)
,

Hyˊper-bol′ic-al

(hīˊpẽr-bŏ′ĭ-kal)
, }
Adj.
[L.
hyperbolicus
, Gr.
ὑπερβολικός
: 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.