The angle of inclination at a point P on a plane curve is the angle between

The angle of inclination at a point P on a plane curve is the angle θ between the unit tangent vector T and the x-axis (Figure 21). Assume that r(s) is a arc length parametrization, and let θ = θ(s) be the angle of inclination at r(s). Prove that

Observe that T(s) = (cos θ(s), sin θ(s)).

Transcribed Image Text:

k(s) = de ds