# 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

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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