- 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...
-
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...
-
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...
- 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...
-
mathematician who was born in Paris, France, and died in Versailles, France.
Frenet–Serret
formulas Traité de trigonométrie (Gautier-Villars, 1880)
Cours de...
- 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...
-
natural moving frame constructed on a surface. It is the
analog of the
Frenet–Serret
frame as
applied to
surface geometry. A
Darboux frame exists at any...