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Double Points Info
The meaning of DOUBLE POINT is a point on a curve at which there are two tangents.
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Double point Definition & Meaning - Merriam-Webster
The meaning of DOUBLE POINT is a point on a curve at which there are two tangents.
Double Point -- from Wolfram MathWorld
A point traced out twice as a closed curve is traversed. The maximum number of double points for a nondegenerate quartic curve is three. An ordinary double point is also sometimes known as a node. Aicardi (1994) gives pictures of spherical and plane curves with up to five double points, as well as other curves.
Double point - Encyclopedia of Mathematics
A double point on an algebraic variety is a point of multiplicity two (cf. Multiplicity of a singular point). References
Ordinary Double Point -- from Wolfram MathWorld
An ordinary double point of a plane curve is point where a curve intersects itself such that two branches of the curve have distinct tangent lines. Ordinary double points of plane curves are commonly known as crunodes.
Ordinary double point - (Algebraic Geometry) - Fiveable
An ordinary double point occurs when a curve has two tangent branches meeting at a single point, which can complicate its local geometry. To identify an ordinary double point, one often examines the derivative of the defining polynomial and checks for vanishing at the point of interest.
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