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.

(n) A single-curved surface primitive, created when a plane intersects a right circular cone at an angle with the axis that is smaller than that made by the elements.

A curved line where the difference of the distances from imaginary points (foci) to each point on the curve is constant.

A curve with two branches formed from the intersection of a plane and a circular conical surface.

One type of conic section. The hyperbola is the set of all points in a plane. The difference of whose distance from two fixed points in the plane is the positive constant. [Go to source

One of two conic sections for which there is only one closed end. At the other, or open, end, the two sides of the hyperbola extend into infinity at an angle to each other, moving steadily further and further apart.

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

a conic section defined by major and minor radii, position and orientation

a conic with an eccentricity greater than unity

a member of the family of curves known as conic sections

Mathematical curve that describes an inverse relationship between two variables.

A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant: a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.

A hyperbola is a conic section (the intersection of a cone with a plane) that has two mirror-image branches. Hyperbolas have an eccentricity greater than 1.