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Crucial to this definition is the fact that every simple closed curve admits a well-defined interior; that follows from the Jordan Curve Theorem . A Circle oriented Counterclockwise is an example of a positively oriented curve. The same circle oriented clockwise would be a negatively oriented curve. The concept of ''orientation'' of a curve is just a particular case of the notion of Orientation of a Manifold (that is, besides orientation of a curve one may also speak of orientation of a Surface , Hypersurface , etc.). Here, the interior and the exterior of a curve both inherit the usual orientation of the plane. The positive orientation on the curve is then the orientation it inherits as the boundary of its interior; the negative orientation is inherited from the exterior. SEE ALSO EXTERNAL LINKS
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