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Math Help - [SOLVED] Sphere inside a cone

  1. #1
    HBerg
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    [SOLVED] Sphere inside a cone

    My problem is this:

    "Suppose a plane intersects a right-circular cone in a parabola
    with vertex V. Suppose that a sphere is inscribed between the
    cone and the plane and is tangent to the plane of the parabola at
    point F. Show that the chord to the parabola through F which is perpendicular
    to FV has length equal to that of the latus rectum of the parabola. Therefore, F is the focus of the parabola."

    I have a very hard time trying to see what conditions the sphere puts on the point F.

    Anyone?
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  2. #2
    Super Member
    earboth's Avatar
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    Quote Originally Posted by HBerg
    My problem is this:
    ....
    ....
    I have a very hard time trying to see what conditions the sphere puts on the point F.

    Anyone?
    Hello,

    have a look at this site:
    http://www.komal.hu/cikkek/dandelin/dandelin.e.shtml

    May this will help a little bit.

    Greetings

    EB
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