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The length can be approximated by selecting a finite number of points along the curve and connecting the points with straight lines.  The sum of the line segments can give a lower estimate for the length of the arc.  The more points used, the closer the approximation to the curve. Technically, the arclength is the [[supremum]] of all such sums, represented as an [[integral]].
 
The length can be approximated by selecting a finite number of points along the curve and connecting the points with straight lines.  The sum of the line segments can give a lower estimate for the length of the arc.  The more points used, the closer the approximation to the curve. Technically, the arclength is the [[supremum]] of all such sums, represented as an [[integral]].
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[[category: mathematics]]
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[[category:Calculus]]
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