Frenet-Serret formulas

(redirected from Frenet-Serret formulae)

Frenet-Serret formulas

[fre′nā sə′rā ‚fōr·myə·ləz]
(mathematics)
Formulas in the theory of space curves, which give the directional derivatives of the unit vectors along the tangent, principal normal and binormal of a space curve in the direction tangent to the curve. Also known as Serret-Frenet formulas.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
Mentioned in ?
References in periodicals archive ?
Then we have the following spherical Frenet-Serret formulae of [alpha]:
For the unit speed curve f with the first and second curvatures, [kappa] and [tau] in the space [R.sup.3], the following Frenet-Serret formulae are given by