Darboux Vector
The rotation Vector of the Trihedron of a curve with Curvature 
when a point movesalong a curve with unit Speed. It is given by
 | (1) |
is the Torsion, T the Tangent Vector, and Bthe Binormal Vector. The Darboux vector field satisfies |  |  | (2) |
 | |  | (3) |
 | |  | (4) |
See also Binormal Vector, Curvature, Tangent Vector, Torsion (Differential Geometry)
References
Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, p. 151, 1993.
- Regular Surface
- Regular Triangle Center
- Regulus
- Reidemeister Moves
- Reidemeister's Theorem
- Reinhardt Domain
- Relation
- Relative Error
- Relative Extremum
- Relatively Prime
- Relative Maximum
- Relative Minimum
- Relaxation Methods
- Remainder
- Remainder Theorem
- Rembs' Surfaces
- Removable Crossing
- Removable Singularity
- Rencontres Number
- Rendezvous Values
- Repartition
- Repdigit
- Repeating Decimal
- Repfigit Number
- Replicate