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  Let α(s) be a unit-speed space curve with κ > 0 and τ > 0. Define a new space curve β by β(s) = Z s 0 Bα(u) du, where Bα is the binormal vector for α. First, show that β is also a unit-speed curve. Then find the parts of the Frenet-Serret apparatus for β in terms of those for α. 

  • 5 years ago
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