Definition of Hyperbolic

1. Adjective. Enlarged beyond truth or reasonableness. "A hyperbolic style"

Exact synonyms: Inflated
Similar to: Increased
Derivative terms: Hyperbole

2. Adjective. Of or relating to a hyperbola. "Hyperbolic functions"
Partainyms: Hyperbola
Derivative terms: Hyperbola

Definition of Hyperbolic

1. a. Belonging to the hyperbola; having the nature of the hyperbola.

Definition of Hyperbolic

1. Adjective. of or relating to hyperbole ¹

2. Adjective. using hyperbole: exaggerated ¹

3. Adjective. Of or pertaining to an hyperbola. ¹

4. Adjective. (non-gloss definition Indicates that the specified function is a hyperbolic function rather than a (soplink trigonometric function).) ¹

5. Adjective. (mathematics of a metric space or a geometry) Having negative curvature or sectional curvature. ¹

6. Adjective. (geometry topology of an automorphism) Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation. ¹

7. Adjective. (topology) Of, pertaining to(,) or in a hyperbolic space (gloss a space having negative curvature or sectional curvature). ¹

¹ Source:

Definition of Hyperbolic

1. [adj]

Hyperbolic Pictures

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Lexicographical Neighbors of Hyperbolic

hyperbilirubinemia of the newborn
hyperbolic (current term)
hyperbolic cosine
hyperbolic function
hyperbolic geometry
hyperbolic navigation system
hyperbolic plane
hyperbolic planes
hyperbolic polynomial
hyperbolic sine
hyperbolic space
hyperbolic spaces
hyperbolic tangent

Literary usage of Hyperbolic

Below you will find example usage of this term as found in modern and/or classical literature:

1. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"hyperbolic metric geometry in the plane. According to the point of view explained in § 34 ... The interior of this conic is called the hyperbolic plane. ..."

2. A Dictionary of Science, Literature, & Art: Comprising the Definitions and by George William Cox (1866)
"hyperbolic Paraboloid. A ruled surface of the second order, ... hyperbolic Point. A point on a surface, at which the indicatrix is a hyperbola. ..."

3. Differential and Integral Calculus: An Introductory Course for Colleges and by Lorrain Sherman Hulburt (1912)
"Prove the following relations: sh (ж ± y) = sh x ch у ± ch x sh y; ch (ж ±y)= ch x ch у ± sh x sh у ; tv, t~ , „л th a: ± th у = 254. The Inverse hyperbolic ..."

4. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1882)
"In the case of the hyperbolic paraboloid any three bt lines of one system cut all the right lines of the other in a constant ratio. For since the generators ..."

5. Science by American Association for the Advancement of Science (1899)
"But the text shows that this relation of hyperbolic to Euclidean space can be inverted. Thus no theory of the flatness of Euclidean space can be founded on ..."

6. Geometry of Riemannian Spaces by Elie Cartan (1983)
"TWO DIMENSIONAL hyperbolic GEOMETRY 125. The formulae representing the geometric properties of the figures R 1 eten K = —a- ..."

7. Useful Rules and Tables Relating to Mensuration, Engineering, Structures by William John Macquorn Rankine, Edward Fisher Bamber (1876)
"Table 3 gives the hyperbolic logarithms of integer numbers from 1 to 100. To find the hyperbolic logarithm of an integer number consisting of not more than ..."

8. Projective Geometry by Linnaeus Wayland Dowling (1917)
"The involution is hyperbolic, -parabolic, or elliptic according as the center is ... If an involution is hyperbolic, no pair of corresponding elements is ..."

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