rectification

mathematics

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July 13, 2026

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Rectification, in mathematics, is the process of determining the length of a curve. This is achieved by dividing the curve into a series of small, straight line segments of known length and then finding the limit of the sum of these lengths as the segments become infinitely small. This concept is closely related to integral calculus, which provides the tools to calculate the exact length of a curve by summing these infinitesimal segments. The length of a segment of an arc is also referred to as arclength.123

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quadrature
A similar process called rectification is used in determining the length of a curve. The curve is divided into a sequence of straight line segments of known length. Because the definite integral of a function determines the area under its curve, integration is still sometimes referred to as quadrature.
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A similar process called rectification is used in determining the length of a curve. The curve is divided into a sequence of straight line segments of known length. Because the definite integral of a function determines the area under its curve, integration is still sometimes referred to as quadrature.
Read More