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clarification
'''Arclength''' is the [[mathematics|mathematical]] length of a curve.
'''Arclength''' is the [[mathematical]] length of a [[curve]], i.e. the distance that would be registered if one traveled along the curve as if it were a road.
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.
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]].
[[category: mathematics]]
[[category: mathematics]]