Torsion of a Curve
978-613-1-16015-8
6131160155
92
2010-11-11
34.00 €
eng
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the elementary differential geometry of curves in three dimensions, the torsion of a curve measures how sharply it is twisting. Taken together, the curvature and the torsion of a space curve are analogous to the curvature of a plane curve. For example, they are coefficients in the system of differential equations for the Frenet frame given by the Frenet-Serret formulas. Let C be a space curve in a unit-length (or natural) parametrization and with the unit tangent vector t.Let r = r(t) be the parametric equation of a space curve. Assume that this is a regular parametrization and that the curvature of the curve does not vanish.
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