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On the Cartesian Coordinates of Classes of Tortuous Curves

Published online by Cambridge University Press:  20 January 2009

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The following notation is here used for the quantities occurring in the discussion of tortuous curves.

Length = s; curvature = ; torsion = ; direction cosines of tangent, principal normal and binomial:—α, β, γ; l, m, n; λ, μ, ν.

Frenet's formulae are therefore,

with two corresponding sets.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1906