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Math Help - cone intersections

  1. #1
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    cone intersections

    Hi
    I am currently doing a project on plane surface intersections with cones and I am trying to figure out, if it is possible to have two different intersections that would yield two ellipses with the same area?
    Thanks in advance.
    Christian
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  2. #2
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    Re: cone intersections

    If there is an axis along the line between the vertex of the cone and the centre of the cone's base then if you rotated a plan about that axis you would get a new surface with the same area. Does this satisfy your requirement of "different intersections"?
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  3. #3
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    Re: cone intersections

    Hi Shakarri,
    Thanks for the fast reply, it was a great help!
    Best wishes
    Christian
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  4. #4
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    Re: cone intersections

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