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Results tagged with curves-and-surfaces
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user 36279
A surface is a generalization of a plane which needs not be flat, that is, the curvature is not necessarily zero. This is analogous to a curve generalizing a straight line
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Necessary and sufficient curvature condition for a regular planar curve to be simple and closed
The Four-vertex theorem dictates that the curvature function needs to have at least two local minima and maxima. The converse of the four-vertex theorem tells us that there's at least one parametrizat …
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