Conics vs. Hyperbola

Conicsnoun

That branch of geometry which treats of the cone and the curves which arise from its sections.

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.

Conicsnoun

That branch of geometry which treats of the cone and the curves which arise from its sections.

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.

Conicsnoun

Conic sections.

Hyperbolanoun

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

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.

Hyperbolanoun

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

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.