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expressions for curvature and torsion
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(Theorem)
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For a regular, parameterized curve $\alpha\colon (a,b)\to\mathbb R^3$ , not necessarily unit speed, the curvature $\kappa(t)$ and torsion $\tau(t)$ are given, respectively, by
- John McCleary, Geometry from a Differentiable Viewpoint, Cambridge University Press, 1994.
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"expressions for curvature and torsion" is owned by Simone. [ full author list (3) ]
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Cross-references: torsion, curvature, unit, parameterized curve
This is version 4 of expressions for curvature and torsion, born on 2006-01-19, modified 2007-06-02.
Object id is 7567, canonical name is ExpressionsForCurvatureAndTorsion.
Accessed 1531 times total.
Classification:
| AMS MSC: | 53A04 (Differential geometry :: Classical differential geometry :: Curves in Euclidean space) |
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Pending Errata and Addenda
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