Open-ended curve of a conic section formed by the intersection of a plane with a right-circular cone at any angle between the axis of the cone and its slant edge
If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola
A curve with two branches formed from the intersection of a plane and a circular conical surface
(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 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
An open curve with two branches, all points of which have a constant difference in distance from two fixed points called focuses
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
A two-part conic section defined as the path of a point that moves in such a way that the difference of its distances from two focal points is a constant To be put more simply, a hyperbola is two parabolas directly opposite each other, vertex to vertex
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
Curve with two separate branches, one of the conic sections. In Euclidean geometry, the intersection of a double right circular cone and a plane at an angle that is less than the cone's generating angle (the angle its sides make with its central axis) forms the hyperbola's two branches (one on each nappe, or single cone). In analytic geometry, the standard equation of a hyperbola is x^2/a^2/n-/ny^2/b^2/n=/n1. Hyperbolas have many important physical attributes that make them useful in the design of lenses and antennas
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