# Rectifiable Curve

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Related to Rectifiable Curve: Rectifiable path

## rectifiable curve

[′rek·tə‚fī·ə·bəl ′kərv] (mathematics)

A curve whose length can be computed and is finite.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

The following article is from

*The Great Soviet Encyclopedia*(1979). It might be outdated or ideologically biased.## Rectifiable Curve

a curve of finite length. The length of the curve is the limit of the sequence of lengths of polygonal lines inscribed in the curve such that the length of the longest line segment in the polygonal lines approaches zero. This limit always exists. It may, however, be infinite, in which case the curve is unrectifiable.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.