The Fresnel integrals are used in design applications for roadways and railways and other applications because of the curvature properties of the curve with coordinates . Plot the curve for .
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Show that the curvature of a plane curve is where is the angle between T and i; 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 10.269.)
