Noun
English Wikipedia has an article on:plane curveWikipedia
plane curve (plural plane curves)
(mathematics) the locus of points in the Euclidean plane that satisfies some geometric or algebraic definition; a curve in a plane (as opposed to higher-dimensional space)
For example, the disjoint union of a Sierpinski carpet and a circle is also a universal plane curve. Source: Internet
The Hausdorff dimension of the carpet is log 8/log 3 ≈ 1.8928. citation Sierpiński demonstrated that his carpet is a universal plane curve. Source: Internet
If P has degree four and is square-free this equation again describes a plane curve of genus one; however, it has no natural choice of identity element. Source: Internet
In this context, an elliptic curve is a plane curve defined by an equation of the form : where a and b are real numbers. Source: Internet
The catenary is the only plane curve other than a horizontal line with this property. Source: Internet
The circle is the plane curve enclosing the maximum area for a given arc length. Source: Internet