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An Elementary Introduction to the Infinitesimal Geometry of Surfaces

Published online by Cambridge University Press:  03 November 2016

R. W. H. T. Hudson
R. W. H. T. Hudson*
Affiliation:
Liverpool
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Extract

The purpose of the present note is to show how the student who is acquainted with the methods only of Using and transforming rectangular axes is already in a position to determine the geodesic curvature and torsion of any curve traced on a surface, and in particular to prove Gauss’ formula for the product of the principal curvatures in terms of the geodesic curvaturesof the lines of curvature.

Type
Research Article
Information
The Mathematical Gazette , Volume 2 , Issue 39 , May 1903 , pp. 279 - 282
Copyright
Copyright © Mathematical Association 1903

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