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Center of curvature

 Home Mathematics Fields of mathematics Applied mathematics Mathematical physics Differential geometry
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The center of curvature is a concept used primarily in geometry and optics, particularly in the context of curved surfaces and circular arcs. 1. **Definition**: The center of curvature of a curve at a given point is the center of the osculating circle at that point. The osculating circle is the circle that best approximates the curve near that point. It has the same tangent and curvature as the curve at that point.

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