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What is an arclength?

What is an arclength? Here are some definitions.

Noun
  1. (geometry) The length of an arc
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Examples
A clothoid has the property that its curvature varies linearly with arclength.
The nonlinear equations of motion are studied by using arclength continuation method and bifurcation analysis.
By performing complex averaging and arclength continuations techniques, semi-analytical approximations for nonlinear steady-state response was developed.
This equation is descriptive of a Cornu spiral, a spiral whose curvative increases linearly with arclength.
The discretized nonlinear equations of motion are studied by using the arclength continuation and collocation method.

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