define centre of curvature
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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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Centre of curvature: The reflecting surface of a spherical mirror forms a part of a sphere. The sphere's centre is called as centre of curvature. The centre of curvature of a concave mirror lies in front of it. However, it lies behind the mirror in case of a convex mirror.
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