# Equidistant Curve

The following article is from

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 It might be outdated or ideologically biased.## Equidistant Curve

The set of the ends of equal segments laid off in a fixed direction along the normals to a given plane curve *L* is known as an equidistant curve of *L*. For example, an equidistant curve of a circle is a circle. In Lobachevskian geometry an equidistant curve of a straight line—that is, the locus of points at a given distance from the line—is called an equidistant curve (with that line as base) or, less frequently, a hypercycle. In Euclidean geometry an equidistant curve of a straight line is a straight line.

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