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Mention osculating circle, radius of curvature

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Mention osculating circle, radius of curvature

This is a great entry. I think that there is a need to mention the geometric intepratation of curvature at a point as the inverse of the radius of the osculating circle of the curve at the given point. I mean take three points on the curve one of which is the given point and calculate the limit of the radius of the circle that passes thru these points as (all) the points tend to the given point. Then the curvature is the inverse of this limit. BTW I think that we need an entry on the osculating circle.

Also maybe it is a good idea to add the formula for the curvature of a curve given in polar coordinates.

Parting words from the person who closed the correction: 
This is a great entry. I think that there is a need to mention the geometric intepratation of curvature at a point as the inverse of the radius of the osculating circle of the curve at the given point. I mean take three points on the curve one of which
Status: Accepted
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