Plane curve

Also found in: Encyclopedia, Wikipedia.
(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.

See also: Curve

Webster's Revised Unabridged Dictionary, published 1913 by G. & C. Merriam Co.
References in periodicals archive ?
Any frontal plane curve seen from this view is described as a scoliosis.
The purpose of this article is to give typical examples of smooth plane curve of degree d whose automorphism group has order 60d.
Suppose u(x, t) be a solution of partial differential equation with initial data u(x,0) = [u.sub.0](x), where x [member of] R is a spatial variable and t >0 is a time variable; we consider plane curve [[GAMMA].sub.t] = {(x,u(x,t))}, then the curvature of the plane curve is defined as
[4] --, Formalminimalmodels of plane curve singularities, Preprint (submitted, 2016).
In this article we give the implementation of two algorithms to compute the Euler characteristic of Milnor fibre of reduced plane curve singularities in computer algebra system SINGULAR.
HYPERBOLIC FABRIC--Many of the lines that could be inscribed on this crocheted hyperbolic plane curve away from each other, defying
On page 79 the following dictionary definition of a circle is given: "a closed plane curve every point of which is equidistant from a fixed point within the curve." Then the following confusing statement is made: "Ellipses are also curves with two fixed points instead of the circle's one." The use of the word "sequence" in Kovalevsky's work is nonstandard.
It is also known that c = 1 if and only if C is trigonal or a smooth plane quintic, and any smooth plane curve X of degree m [is greater than or equal to] 5 has Cliff (X) = m - 4.
Let [B.sub.o] be a (possibly empty) reduced plane curve Bo.
Since C is not a plane curve and dim(V) [less than or equal to] 2, the scheme C [intersection] V is finite.
Take the centre of inlet port entrance section as the origin point, a relative coordinate system is founded, running the law curve command, the generated plane curve form is as Fig.