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# torsion

[ **tawr**-sh*uh*n ]

## noun

- the act of twisting.
- the state of being twisted.
*Mechanics.*- the twisting of a body by two equal and opposite torques.
- the internal torque so produced.

*Mathematics.*- the degree of departure of a curve from a plane.
- a number measuring this.

torsion

/ ˈtɔːʃən /

## noun

- the twisting of a part by application of equal and opposite torques at either end
- the condition of twist and shear stress produced by a torque on a part or component

- the act of twisting or the state of being twisted

torsion

/ tôr**′**shən /

- The stress on an object when torque is applied to it.
- A mathematical operation in geometry measuring how tightly a plane is twisted.

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## Derived Forms

**ˈtorsionally**, adverb**ˈtorsional**, adjective

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## Other Words From

**torsion·al**adjective**torsion·al·ly**adverb

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## Word History and Origins

Origin of torsion^{1}

*late Middle English*

*torcion*wringing one's bowels <

*Old French*

*torsion*<

*Late Latin*

*torsiōn-*(stem of

*torsiō*) torment, equivalent to

*tors*(

*us*) twisted ( torse ) +

*-iōn-*-ion

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## Word History and Origins

Origin of torsion^{1}

*torsiō*griping pains, from Latin

*torquēre*to twist, torture

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## Example Sentences

The Jacobians also have torsion points, just like elliptic curves, which circle back on themselves under repeated internal addition.

“This simple observation — that torsion points on the elliptic curve are the same as finite orbit points for a certain dynamical system — is what we use in our paper over and over and over again,” said DeMarco.

The two elliptic curves and their torsion points could not be immediately compared because they do not necessarily overlap.

The torsion points are sprinkled on the surfaces of the elliptic curves, but the two curves might have very different shapes.

The new work focuses on the torsion points of those elliptic curves.

Coulomb was the maker of the first instrument for measuring a current, which was known as the torsion balance.

Penaud's machine, relying only on india rubber under torsion, flies for some fifty yards.

On the other hand, the law of torsion could hardly be quite so simple, at all events, to the second order of approximations.

Its free motion differs entirely from that given it by torsion or stress.

The old freighter swung a great circle, its torsion jets blasting desperately in an effort to keep it on an even keel.

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