Plane curve


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(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

References in periodicals archive ?
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.
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.
Since C is not a plane curve and dim(V) [less than or equal to] 2, the scheme C [intersection] V is finite.
Fundamental groups of plane curve complements play an important role in the study of branched coverings.
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.
Theorem 8 Let [x(s), y(s)] be a regular parametric plane curve of class [C.
Other topics include conjugate vectors of immersed manifolds, Thom polynomials and Schur functions, obstructions on fundamental groups of plane curve complements, and exotic moduli of Goursat distributions.
In this section, we recall some facts about the Alexander polynomial of a plane curve.