Noun:

హైపర్బోలా,

hyperbola's Usage Examples:

that resembles or pertains to a hyperbola (a curve), to hyperbole (an overstatement or exaggeration), or to hyperbolic geometry.

A value of 0 is a circular orbit, values between 0 and 1 form an elliptic orbit, 1 is a parabolic escape orbit, and greater than 1 is a hyperbola.

9b-e Circle areas equal to surfaces of conoids; rectification of the parabola equal to quadrature of hyperbola; approximation.

} The hyperbola has in the rφ-plane the coordinate axes as asymptotes.

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

defining conic sections, the four types of which are the circle, ellipse, parabola, and hyperbola.

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

In geometry, the unit hyperbola is the set of points (x,y) in the Cartesian plane that satisfy the implicit equation x 2 − y 2 1.

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.

Isolines are hyperbolae which can be described using the following formula: f ( α , β ) γ (.

Synonyms:

conic section, conic,