- In
differential geometry, the
Frenet–Serret
formulas describe the
kinematic properties of a
particle moving along a
differentiable curve in three-dimensional...
- calculus. One of the most
important tools used to
analyze a
curve is the
Frenet frame, a
moving frame that
provides a
coordinate system at each
point of...
- Jean Frédéric
Frenet (French: [fʁənɛ]; 7
February 1816 – 12 June 1900) was a
French mathematician, astronomer, and meteorologist. He was born and died...
-
curvature In
terms of arc-length
parametrization is
essentially the
first Frenet–Serret
formula T ′ ( s ) = κ ( s ) N ( s ) , {\displaystyle \mathbf {T}...
-
coefficients in the
system of
differential equations for the
Frenet frame given by the
Frenet–Serret formulas. Let r be a
space curve parametrized by arc...
-
space curves, the
Darboux vector is the
angular velocity vector of the
Frenet frame of a
space curve. It is
named after Gaston Darboux who discovered...
- the
geometry of
Euclidean space curves can be
described in
terms of the
Frenet-Serret
formulas as the
linear span of the
tangent and
normal vectors. Normal...
- was
solved in the mid 19th
century by Jean Frédéric
Frenet and
Joseph Alfred Serret. The
Frenet–Serret
frame is a
moving frame defined on a
curve which...
- Jean-Baptiste
Frénet (1814-1889) was a
French painter, sculptor,
photographer and
politician based in Lyon. He was born in Lyon on 31
January 1814, the...
- Machine, 28:153–163. Menninger, T. (2013), An
Explicit Parametrization of the
Frenet Apparatus of the
Slant Helix. arXiv:1302.3175
Archived 2018-02-05 at the...
