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    Curvature and torsion of a curve

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    For the curve: r = ( 2abt, a^2 log t, b^2t^2 ), show that: κ = - τ = 2abt/(a^2 + 2b^2t^2)^2 where κ = curvature of the curve τ = torsion of the curve.

    © BrainMass Inc. brainmass.com February 4, 2021, 6:31 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/curvature-and-torsion-of-a-curve-12297

    Solution Summary

    This solution is comprised of a detailed explanation for finding the curvature of the curve and torsion of the curve.
    It contains step-by-step explanations to find the curvature and torsion of the curve, r = ( 2abt, a^2 log t, b^2t^2 ).

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