Plane curve

Plane curve
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 line. [1913 Webster]

{Axis of a curve}. See under {Axis}.

{Curve of quickest descent}. See {Brachystochrone}.

{Curve tracing} (Math.), the process of determining the shape, location, singular points, and other peculiarities of a curve from its equation.

{Plane curve} (Geom.), a curve such that when a plane passes through three points of the curve, it passes through all the other points of the curve. Any other curve is called a {curve of double curvature}, or a {twisted curve}. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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Look at other dictionaries:

  • 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

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