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Rectifying plane

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The plane of the Frénet frame (cf. Frénet trihedron) of a given point on a curve (cf. Line (curve)) which is spanned by the tangent (cf. Tangent line) and the binormal to the curve at this point. The equation of the rectifying plane can be written in the form

or

where is the equation of the curve.


Comments

References

[a1] M. Spivak, "A comprehensive introduction to differential geometry" , 2 , Publish or Perish (1970) pp. 1–5
How to Cite This Entry:
Rectifying plane. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Rectifying_plane&oldid=18907
This article was adapted from an original article by L.A. Sidorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article