hyperbolic

adjective8

1. •
   Of or relating to hyperbole.
2. •
   Using hyperbole: exaggerated.

   • At the risk of being slightly hyperbolic, the fourth season of The Simpsons is the greatest thing in the history of the universe. — 2012
3. •
   Of or pertaining to a hyperbola.

   • In this configuration the on-axis image is produced at the real hyperbolic focus (fₛ₂) but off-axis performance suffers. — 1988
4. •
   Indicates that the specified function is a hyperbolic function rather than a trigonometric function.

   • The hyperbolic cosine of zero is one.
5. •
   Having negative curvature or sectional curvature.

   • There is a universal constant m_0>0 such that every hyperbolic surface R has an embedded hyperbolic disk with radius greater than m_0. — 1998
6. •
   Of, pertaining to, or in a hyperbolic space (a space having negative curvature or sectional curvature).

   • Exactly one hypercycle is a hyperbolic geodesic, and this is called the axis A_f of f. — 2001
7. •
   Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.

   • A hyperbolic isometry f has two (distinct) fixed points on ∂ℋ. — 2001
8. •
   Of a perceived color, having a saturation exceeding 100%.