## Frenet Formulas

Also known as the Serret-Frenet Formulas

where is the unit Tangent Vector, is the unit Normal Vector, is the unit Binormal Vector, is the Torsion, is the Curvature, and denotes .

References

Frenet, F. Sur les courbes à double courbure.'' Thèse. Toulouse, 1847. Abstract in J. de Math. 17, 1852.

Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, p. 126, 1993.

Kreyszig, E. Formulae of Frenet.'' §15 in Differential Geometry. New York: Dover, p. 40-43, 1991.

Serret, J. A. Sur quelques formules relatives à la théorie des courbes à double courbure.'' J. de Math. 16, 1851.