hyperbola definition

  • noun:
    • an airplane curve having two limbs, formed by the intersection of an airplane with both halves of the right circular cone at an angle parallel into the axis associated with the cone. This is the locus of things for which the difference regarding the distances from two given points is a consistent.
    • A conic part formed because of the intersection of a cone with a plane that intersects the beds base of cone and is maybe not tangent to the cone.
    • A curve created by a section of a cone, when the cutting airplane tends to make a greater angle using the base compared to the side of the cone tends to make. Its a plane curve in a way that the difference of this distances from any point of it to two fixed points, labeled as foci, is equivalent to a given distance. See focus. If cutting airplane be produced in order to slice the reverse cone, another curve would be formed, which can be also an hyperbola. Both curves tend to be viewed as branches of the identical hyperbola. See Illust. of Conic area, and concentrate.
    • A curve created by the intersection of an airplane with a double cone—that is, with two similar cones placed vertex to vertex, making sure that one is the extension of the various other.
    • An algebraic curve having asymptotes higher in number by one than its order. This definition ended up being introduced by Newton.
    • an open bend created by an airplane that cuts the base of a right circular cone

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