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Hyperbola vs. Hyperbolic

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Hyperbolanoun

(geometry) A conic section formed by the intersection of a cone with a plane that intersects the base of the cone and is not tangent to the cone.

Hyperbolicadjective

Of or relating to hyperbole.

Hyperbolanoun

A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus.

Hyperbolicadjective

Using hyperbole: exaggerated.

Hyperbolanoun

an open curve formed by a plane that cuts the base of a right circular cone

Hyperbolicadjective

Of or pertaining to a hyperbola.

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Hyperbolanoun

a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone.

Hyperbolicadjective

Indicates that the specified function is a hyperbolic function rather than a trigonometric function.

‘The hyperbolic cosine of zero is one.’;

Hyperbolanoun

the pair of hyperbolas formed by the intersection of a plane with two equal cones on opposite sides of the same vertex.

Hyperbolicadjective

Having negative curvature or sectional curvature.

Hyperbola

In mathematics, a hyperbola (listen) (adjective form hyperbolic, listen) (plural hyperbolas, or hyperbolae (listen)) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.

Hyperbolicadjective

Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.

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Hyperbolicadjective

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

Hyperbolicadjective

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

Hyperbolicadjective

Relating to, containing, or of the nature of, hyperbole; exaggerating or diminishing beyond the fact; exceeding the truth; as, an hyperbolical expression.

Hyperbolicadjective

enlarged beyond truth or reasonableness;

‘had an exaggerated (or inflated) opinion of himself’; ‘a hyperbolic style’;

Hyperbolicadjective

of or relating to a hyperbola;

‘hyperbolic functions’;

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