File:Arc_length.gif · Wikimedia Commons · See Wikimedia Commons
arc length
Sign in to saveAlso known as path length, length of a curve, arclength, curve length, length of arc, length of a path, segment length, length of a segment
property of a curve
In the Vinony graph
Within Vinony's link graph, arc length is referenced by 323 other articles, and connects out to integral, curve and Gottfried Wilhelm Leibniz.
Vinony files it under Curves, Integral calculus and Length.
Its subject is documented across 36 Wikipedia language editions.
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- Arc length
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Encyclopedic overview
When rectified, the curve gives a straight line segment with the same length as the curve's arc length. Arc length s of a logarithmic spiral as a function of its parameter θ
Arc length is the distance between two points along a curve. It can be formalized mathematically for smooth curves using vector calculus and differential geometry, or for curves that might not necessarily be smooth as a limit of lengths of polygonal chains. The curves for which this limit exists are called rectifiable curves, and the process of determining their arc length in this way is called curve rectification.
Excerpted from Wikipedia’s “arc length” article, available under the CC BY-SA 4.0 licence.