ship lies somewhere on this hyperbola. The exact location can be determined using data from a third station. Example . Certain telescopes contain both parabolic mirror and a hyperbolic mirror.
In the telescope shown in figure . the parabola and hyperbola share focus F which is m above the vertex of the parabola. The hyperbola’s second focus F is m above the parabola’s vertex. The vertex of the hyperbolic mirror is m below F .
Position a coordinate system with the origin at the centre of the hyperbola and with the foci on the y -axis. Then find the equation of the hyperbola. Let V be the vertex of the parabola and V be the vertex of the hyperbola. F F = m The distance of centre to the vertex of the hyperbola is a = −= b = c = Therefore the equation of the hyperbola is y = .
◄ ◄ ◄ ◄ ◄ ◄ Parabola V V F F m Hyperbola - -