Frenet Formulas
Also known as the Serret-Frenet Formulas
where
is the unit Tangent Vector, 
is the unit Normal Vector, 
is the unitBinormal Vector, 
is the Torsion, 
is the Curvature,and 
denotes 
.See also Centrode, Fundamental Theorem of Space Curves, Natural Equation
References
Frenet, F. ``Sur les courbes à double courbure.'' Thèse. Toulouse, 1847. Abstract in J. de Math. 17, 1852. Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, p. 126, 1993. Kreyszig, E. ``Formulae of Frenet.'' §15 in Differential Geometry. New York: Dover, p. 40-43, 1991. Serret, J. A. ``Sur quelques formules relatives à la théorie des courbes à double courbure.'' J. de Math. 16, 1851.
- Small Rhombidodecahedron
- Small Rhombihexacron
- Small Rhombihexahedron
- Small Snub Icosicosidodecahedron
- Small Stellapentakis Dodecahedron
- Small Stellated Dodecahedron
- Small Stellated Triacontahedron
- Small Stellated Truncated Dodecahedron
- Small Triakis Octahedron
- Small Triambic Icosahedron
- Small World Problem
- Smarandache Ceil Function
- Smarandache Constants
- Smarandache Function
- Smarandache-Kurepa Function
- Smarandache Near-to-Primorial Function
- Smarandache Paradox
- Smarandache Sequences
- Smarandache-Wagstaff Function
- Smith Brothers
- Smith Conjecture
- Smith Normal Form
- Smith Number
- Smith's Markov Process Theorem
- Smith's Network Theorem