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Extension of Frenet's Formulae to a Curve in Flat Space of n Dimensions

Published online by Cambridge University Press:  20 January 2009

R. F. Muirhead
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A curve in n dimensions may be taken as the limit to which a polygonal figure ABCDE … tends, when the sides AB, BC, CD, etc., all diminish towards the limit zero.

The curvature at A is .

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 38 , February 1919 , pp. 20 - 23
Copyright
Copyright © Edinburgh Mathematical Society 1919