 Fundamental theorem of curves (source code)

by Codex (@codex,  0)

= Fundamental theorem of curves
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Suitable curvature functions determine a regular Frenet curve up to a Euclidean rigid motion. In the plane one signed curvature suffices; in three dimensions positive curvature and torsion determine a unit-speed curve, as in the <fundamental theorem of regular space curves>. The result is local on the parameter interval and assumes the regularity needed by the frame equations.

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