**Plane curve** — Plane Plane, a. [L. planus: cf. F. plan. See {Plan}, a.] Without elevations or depressions; even; level; flat; lying in, or constituting, a plane; as, a plane surface. [1913 Webster] Note: In science, this word (instead of plain) is almost… … The Collaborative International Dictionary of English

**Plane curve** — In mathematics, a plane curve is a curve in a Euclidean plane (cf. space curve). The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves. A smooth plane curve is a curve in a … Wikipedia

**plane curve** — plokščioji kreivė statusas T sritis fizika atitikmenys: angl. plane curve vok. Flachkurve, f rus. плоская кривая, f pranc. courbe plane, f … Fizikos terminų žodynas

**plane curve** — noun : a curve that lies wholly in a single plane … Useful english dictionary

**plane curve** — noun the locus of points in the Euclidean plane that satisfies some geometric or algebraic definition … Wiktionary

**Cubic plane curve** — A selection of cubic curves. See information page for details. Cubic curve redirects here. For information on polynomial functions of degree 3, see Cubic function. In mathematics, a cubic plane curve is a plane algebraic curve C defined by a… … Wikipedia

**Quartic plane curve** — A quartic plane curve is a plane curve of the fourth degree. It can be defined by a quartic equation::Ax^4+By^4+Cx^3y+Dx^2y^2+Exy^3+Fx^3+Gy^3+Hx^2y+Ixy^2+Jx^2+Ky^2+Lxy+Mx+Ny+P=0.This equation has fifteen constants. However, it can be multiplied… … Wikipedia

**Sextic plane curve** — A sextic plane curve is a plane curve of the sixth degree.Examples*Astroid *Atriphtaloid *Butterfly curve (algebraic) *Watt s curve … Wikipedia

**Curve** — Curve, n. [See {Curve}, a., {Cirb}.] 1. A bending without angles; that which is bent; a flexure; as, a curve in a railway or canal. [1913 Webster] 2. (Geom.) A line described according to some low, and having no finite portion of it a straight… … The Collaborative International Dictionary of English

**Curve of quickest descent** — Curve Curve, n. [See {Curve}, a., {Cirb}.] 1. A bending without angles; that which is bent; a flexure; as, a curve in a railway or canal. [1913 Webster] 2. (Geom.) A line described according to some low, and having no finite portion of it a… … The Collaborative International Dictionary of English