Multivariate Calculus: Lecture 10: Frenet Serret Frame and Equations

We study the circle helix in this Lecture as we develop the Frenet-Frame along a non-stop, nonlinear curve. We define curvature and torsion and find they suffice to describe the change in T,N,B in terms of T,N,B. The formulas here for the most part assume the curve is parametrized by arclength. In the next lecture, we'll discuss further geometry of the Frenet-Frame and extend the formulas to treat parametrizations by non-unit speed. This whole discussion is important to set-up the study of acceleration in 3D.

[hjalmarschacht]

May the Father give you more light so that we can see the board better.