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From: Webster's Revised Unabridged Dictionary (1913)

 Curve, n.
 1. A bending without angles; that which is bent; a flexure; as, a curve in a railway or canal.
 2. Geom. A line described according to some low, and having no finite portion of it a straight line.
 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.