Formulas that express the derivatives of the unit vectors of the tangent , the normal and the binormal to a regular curve with respect to the natural parameter in terms of these same vectors and the values of the curvature and torsion of the curve:
They were obtained by F. Frénet (1847).
|[a1]||C.C. Hsiung, "A first course in differential geometry" , Wiley (1981) pp. Chapt. 3, Sect. 4|
Frénet formulas. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fr%C3%A9net_formulas&oldid=17588