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Difference between revisions of "Frénet formulas"

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Revision as of 18:52, 24 March 2012

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=22467
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article