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    Curvature of the curve and torsion of the curve

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    Differential Geometry (I)
    Curves in Space
    Curvature of the Curve
    Torsion of the Curve

    For the curve r = ( √6 at^3, a(1+3t^2), √6 at )
    Show that k = - T = 1/[a(3t^2 + 1)^2] where k = curvature of the curve, T = torsion of the curve

    © BrainMass Inc. brainmass.com February 24, 2021, 2:19 pm ad1c9bdddf
    https://brainmass.com/math/curves/curvature-curve-torsion-curve-13672

    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 explanation to find the Curvature and torsion of the curve r = ( √6 at^3, a(1+3t^2), √6 at ). Solution contains detailed step-by-step explanation.

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