Prove that if $\displaystyle r=r(s)$ where $\displaystyle s$ is the arc parameter, is a curve of constant curvature then $\displaystyle r=\int^{s}_{0} b(u)du$ is a curve of constant torsion .

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- Oct 31st 2010, 05:58 AMnice roseCurvature and torsion
Prove that if $\displaystyle r=r(s)$ where $\displaystyle s$ is the arc parameter, is a curve of constant curvature then $\displaystyle r=\int^{s}_{0} b(u)du$ is a curve of constant torsion .