Noun:

హైపర్బోలా,

hyperbolas's Usage Examples:

For example the orthogonal trajectories of a pencil of confocal ellipses are the confocal hyperbolas with the same foci.

describe other curves having two singular points (foci), such as ellipses, hyperbolas, and Cassini ovals.

A more detailed investigation reveals that the hyperbolas are rectangular.

For Cassini ovals one has:The orthogonal trajectories of the Cassini curves with foci P_1, P_2 are the equilateral hyperbolas containing P_1, P_2 with the same center as the Cassini ovals (see picture).

In the case of ellipses and hyperbolas the.

Two different hyperbolas will be formed on either side of the tangent plane.

In mathematics, a hyperbola (listen) (adjective form hyperbolic, listen) (plural hyperbolas, or hyperbolae (listen)) is a type of smooth curve lying in.

These hyperbolas share the same axis and asymptotes.

draw any conic section: straight lines, circles, ellipses, parabolas and hyperbolas.

and hyperbolas depend on their eccentricities.

It turns out that curves of constant r-coordinate in Schwarzschild coordinates always look like hyperbolas bounded by a pair of event horizons at 45 degrees, while lines of constant t-coordinate in Schwarzschild coordinates always look like straight lines at various angles passing through the center of the diagram.

ellipses and hyperbolas possess two foci, there are confocal ellipses, confocal hyperbolas and confocal mixtures of ellipses and hyperbolas.

This means that all circles are similar and all parabolas are similar, whereas ellipses and hyperbolas are.

Synonyms:

conic section, conic,