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.
- Chasles-Cayley-Brill Formula
- Chasles's Contact Theorem
- Chasles's Polars Theorem
- Chasles's Theorem
- Chebyshev Approximation Formula
- Chebyshev Constants
- Chebyshev Deviation
- Chebyshev Differential Equation
- Chebyshev Function
- Chebyshev-Gauss Quadrature
- Chebyshev Inequality
- Chebyshev Integral
- Chebyshev Integral Inequality
- Chebyshev Phenomenon
- Chebyshev Polynomial of the First Kind
- Chebyshev Polynomial of the Second Kind
- Chebyshev Quadrature
- Chebyshev-Radau Quadrature
- Chebyshev's Theorem
- Chebyshev Sum Inequality
- Chebyshev-Sylvester Constant
- Checkerboard
- Checker-Jumping Problem
- Checkers
- Checksum