# Plane Curve

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## plane curve

[′plān ‚kərv] (mathematics)

Any curve lying entirely within a plane.

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 It might be outdated or ideologically biased.## Plane Curve

a curve whose points are all coplanar. It can be defined analytically by means of Cartesian or polar coordinates. In Cartesian coordinates it can be given in implicit form, *F(x, y*) = 0; in explicit form, *y = f(x);* or in parametric representation, *x* = ɸ(t) and *y =* ψ(t). The polar representation is ρ = *f*(ɸ).

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