Hyperbola

hyperbola
    n 1: an open curve formed by a plane that cuts the base of a
         right circular cone
    

Hyperbola \Hy*per"bo*la\, n. [Gr. ?, prop., an overshooting,
   excess, i. e., of the angle which the cutting plane makes
   with the base. See {Hyperbole}.] (Geom.)
   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}.
   [1913 Webster]
    

18 Moby Thesaurus words for "hyperbola":
      arc, bow, catacaustic, catenary, caustic, circle, conchoid, crook,
      curl, curve, diacaustic, ellipse, festoon, hook, lituus, parabola,
      sinus, tracery