  Properties of a parametric curve in R^3 are often determined by analysis of
its piecewise linear (PL) approximation. For Bezier curves, there are standard
algorithms, known as subdivision, that recursively create PL curves that
converge to the curve in distance . The exterior angles of PL curves under
subdivision are shown to converge to 0 at the rate of
$O(\sqrt{\frac{1}{2^i}})$, where i is the number of subdivisions. This angular
convergence is useful for determining self-intersections and knot type.
