Solved: Show that the curvature of a plane curve is , where is the angle between and ;

Chapter 13, Problem 48

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Show that the curvature of a plane curve is , where is the angle between and ; that is, is the angle of inclination of the tangent line. (This shows that the definition of curvature is consistent with the definition for plane curves given in Exercise 69 in Section 10.2.)

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