what is meant by centre of curvature
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the centre of a circle which passes through a curve at a given point and has the same tangent and curvature at that point.
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▪︎CENTER OF CURVATURE -
In geometry, the center of curvature of a curve is found at a point that is at a distance from the curve equal to the radius of curvature lying on the normal vector. It is the point at infinity if the curvature is zero. The osculating circle to the curve is centered at the centre of curvature.
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