Definition for word Hyperbolic.

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. 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.

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- hyperbolic is an adjective describing something that resembles or pertains to a hyperbola (a curve), or to hyperbole (an overstatement or
- in mathematics , hyperbolic geometry (also called lobachevskian geometry or bolyai –lobachevskian geometry) is a non-euclidean geometry ,
- in mathematics , hyperbolic functions are analogs of the ordinary trigonometric , or circular, functions. the basic hyperbolic functions
- in mathematics , a hyperbolic partial differential equation of order n is a partial differential equation (pde) that, roughly speaking,
- in group theory , a hyperbolic group, also known as a word hyperbolic group, gromov hyperbolic group, negatively curved group is a finitely
- in mathematics , hyperbolic space is a type of non-euclidean geometry . hyperbolic geometry has a negative curvature: every point in
- in astrodynamics or celestial mechanics a hyperbolic trajectory is a kepler orbit with the eccentricity greater than 1. with hyperbolic
- in mathematics , a hyperbolic manifold is a space where every point looks locally like hyperbolic space of some dimension. called
- in the study of dynamical system s, a hyperbolic equilibrium point or hyperbolic fixed point is a fixed point that does not have any center
- a hyperbolic 3-manifold is a 3-manifold equipped with a complete riemannian metric of constant sectional curvature -1. dimensional

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