Principal normal

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A normal to a curve passing through a point of and lying in the osculating plane to at . If is the parametric equation of the curve and the value corresponds to , then the equation of the principal normal in vector form is:



[a1] D.J. Struik, "Lectures in classical differential calculus" , Dover, reprint (1988) pp. 13
[a2] R.S. Millman, G.D. Parker, "Elements of differential geometry" , Prentice-Hall (1977) pp. 26
How to Cite This Entry:
Principal normal. E.V. Shikin (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098