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An Elementary Introduction to the Infinitesimal Geometry of Surfaces
Published online by Cambridge University Press: 03 November 2016
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.
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- Copyright © Mathematical Association 1903