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Total curvature

The total curvature of a regular curve is
(81)
It equals the length traced by the unit tangent on the unit sphere, so lifting a planar circle into a helix can reduce total curvature even when both curves make one revolution around the same axis.

Ancestors (6)

  1. Curvature and torsion
  2. Differential geometry
  3. Geometry and topology
  4. Area of mathematics
  5. Mathematics
  6. Home

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