# Frénet formulas

From Encyclopedia of Mathematics

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).

#### Comments

#### References

[a1] | C.C. Hsiung, "A first course in differential geometry" , Wiley (1981) pp. Chapt. 3, Sect. 4 |

**How to Cite This Entry:**

Frénet formulas.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Fr%C3%A9net_formulas&oldid=17588

This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article