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rsst123
 one year ago
*WILL MEDAL*
if the torsion is identically zero and the curvature is a nonzero constant, then show that the curve is a circle.
I'm suppose to prove that a curve is a circle with the FrenetSerret formulas but I have no clue how I would prove this.
rsst123
 one year ago
*WILL MEDAL* if the torsion is identically zero and the curvature is a nonzero constant, then show that the curve is a circle. I'm suppose to prove that a curve is a circle with the FrenetSerret formulas but I have no clue how I would prove this.

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IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2\(\tau = 0\) suggests that the equations simplify: \( \vec T_s = k \vec N, \ \vec N_s = k \vec T, \ \vec B_s = 0 \) plus: \(\vec B = \vec T \times \vec N\) i think B is a red herring and that the essence of a circle is that that the tangent and the normal are always perpendicular. i would proceed from there.
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