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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*
Affiliation:
Liverpool

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
Copyright
Copyright © Mathematical Association 1903

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