# 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

**Ronald Reagan** — Reagan redirects here. For other uses, see Reagan (disambiguation). Ronald Reagan 40th President of the United States In office … Wikipedia