confocal


Two conics are confocal if they have coincident foci.

Examples

  1. 1.

    The family of ellipses

    x2a2+s+y2b2+s=1,

    where  a2>b2  and the parameter s is >-b2, is confocal.

  2. 2.

    The family of hyperbolas

    x2a2-t-y2t-b2=1,

    where  a2>b2  and the parameter t is between a2 and b2, is confocal.

Title confocal
Canonical name Confocal
Date of creation 2013-03-22 14:44:58
Last modified on 2013-03-22 14:44:58
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 6
Author Mathprof (13753)
Entry type Definition
Classification msc 51N20