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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- Sep 25th 2011, 12:36 PMShapeshiftShowing 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. - Sep 25th 2011, 12:56 PMDevenoRe: Showing a curve is part of a circle
try to show the curvature is constant, and > 0.