Curve of quickest descent


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 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.

Look at other dictionaries:

  • 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 tracing — 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

  • Axis of a 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… …   The Collaborative International Dictionary of English

  • 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… …   The Collaborative International Dictionary of English

  • Brachistochrone curve — A Brachistochrone curve (Gr. βραχίστος, brachistos the shortest, χρόνος, chronos time), or curve of fastest descent, is the curve between two points that is covered in the least time by a point like body that starts at the first point with zero… …   Wikipedia

  • brachistochrone — brachistochronic /breuh kis teuh kron ik/, brachistochronous /bray keuh stok reuh neuhs, brak euh /, adj. /breuh kis teuh krohn /, n. Mech. the curve between two points that in the shortest time by a body moving under an external force without… …   Universalium

  • Brachystochrone — Bra*chys to*chrone, n. [Incorrect for brachistochrone, fr. Gr. bra chistos shortest (superl. of brachy s short) + ? time : cf. F. brachistochrone. ] (Math.) A curve, in which a body, starting from a given point, and descending solely by the force …   The Collaborative International Dictionary of English

  • cycloid — Brachystochrone Bra*chys to*chrone, n. [Incorrect for brachistochrone, fr. Gr. bra chistos shortest (superl. of brachy s short) + ? time : cf. F. brachistochrone. ] (Math.) A curve, in which a body, starting from a given point, and descending… …   The Collaborative International Dictionary of English

  • bra|chis|to|chrone — «bruh KIHS tuh krohn», noun. Geometry. the curve in which a body descending to a given point under an external force will reach another point in the shortest possible time; the curve of quickest descent. ╂[< Greek bráchistos shortest (<… …   Useful english dictionary

  • baseball — /bays bawl /, n. 1. a game of ball between two nine player teams played usually for nine innings on a field that has as a focal point a diamond shaped infield with a home plate and three other bases, 90 ft. (27 m) apart, forming a circuit that… …   Universalium