Torsion of a curve
In the elementary differential geometry of curves in three dimensions, the torsion of a curve measures how sharply it is twisting out of the plane of curvature. Taken together,the curvature and the torsion of a space curve are analogous to the curvature of a plane curve. For example, they are coefficients in the system of differential equations for the Frenet frame given by the Frenet–Serret formulas.
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Torsion of a curve
In the elementary differential geometry of curves in three dimensions, the torsion of a curve measures how sharply it is twisting out of the plane of curvature. Taken together,the curvature and the torsion of a space curve are analogous to the curvature of a plane curve. For example, they are coefficients in the system of differential equations for the Frenet frame given by the Frenet–Serret formulas.
has abstract
En géométrie différentielle, l ...... entielles du repère de Frenet.
@fr
En matemática, la torsión tien ...... urvature and torsion of curves
@es
In de differentiaalmeetkunde i ...... romme r(t) wordt gegeven door:
@nl
In the elementary differential ...... by the Frenet–Serret formulas.
@en
No elementar em três dimensões ...... las fórmulas de Frenet-Serret.
@pt
Torsja, skręcenie lub druga kr ...... yć dowolną liczbą rzeczywistą.
@pl
Windung oder Torsion ist in de ...... n den frenetschen Formeln vor.
@de
У диференціальній геометрії, с ...... є мірою відхилення від прямої.
@uk
在初等三维曲线的微分几何中，一条曲线的挠率（torsion， ...... 都是弗勒内标架的微分方程组中的系数，由弗勒内-塞雷公式给出。
@zh
捩率（れいりつ）または捩れ率（ねじれりつ）とは、空間内の曲線 ...... 捩率が与えられれば、向きを保つ合同変換を除いて一意に定まる。
@ja
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En géométrie différentielle, l ...... entielles du repère de Frenet.
@fr
En matemática, la torsión tien ...... urvature and torsion of curves
@es
In de differentiaalmeetkunde i ...... romme r(t) wordt gegeven door:
@nl
In the elementary differential ...... by the Frenet–Serret formulas.
@en
No elementar em três dimensões ...... las fórmulas de Frenet-Serret.
@pt
Torsja, skręcenie lub druga kr ...... yć dowolną liczbą rzeczywistą.
@pl
Windung oder Torsion ist in de ...... n den frenetschen Formeln vor.
@de
У диференціальній геометрії, с ...... є мірою відхилення від прямої.
@uk
在初等三维曲线的微分几何中，一条曲线的挠率（torsion， ...... 都是弗勒内标架的微分方程组中的系数，由弗勒内-塞雷公式给出。
@zh
捩率（れいりつ）または捩れ率（ねじれりつ）とは、空間内の曲線 ...... 捩率が与えられれば、向きを保つ合同変換を除いて一意に定まる。
@ja
label
Tordeco de kurbo
@eo
Torsie (differentiaalmeetkunde)
@nl
Torsion d'une courbe
@fr
Torsion of a curve
@en
Torsión (matemáticas)
@es
Torsja krzywej
@pl
Torção de uma curva
@pt
Windung (Geometrie)
@de
Скрут кривої
@uk
捩率
@ja