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Thread: Showing a curve is part of a circle

  1. September 25th 2011, 12:36 PM #1
    Shapeshift
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    Showing a curve is part of a circle

    Show that if all the normal lines to a plane curve pass through the origin then the curve is part of a circle.


    I don't really have any idea on how to start with this. Any help is appreciated.
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  2. September 25th 2011, 12:56 PM #2
    Deveno
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    Re: Showing a curve is part of a circle

    try to show the curvature is constant, and > 0.
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