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Plane curve - Wikipedia
In mathematics, a plane curve is a curve in a plane that may be a Euclidean plane, an affine plane or a projective plane. The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves. Plane curves also include the Jordan curves (curves that … See more
A plane curve can often be represented in Cartesian coordinates by an implicit equation of the form $${\displaystyle f(x,y)=0}$$ for some specific function f. If this equation can be … See more
A smooth plane curve is a curve in a real Euclidean plane $${\displaystyle \mathbb {R} ^{2}}$$ and is a one-dimensional smooth manifold. … See more
An algebraic plane curve is a curve in an affine or projective plane given by one polynomial equation $${\displaystyle f(x,y)=0}$$ (or $${\displaystyle F(x,y,z)=0,}$$ where … See more
Wikipedia text under CC-BY-SA license Plane Curve -- from Wolfram MathWorld
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WEBPlane Curve: Definition, Examples. Calculus Definitions >. A plane curve is a curve in a two-dimensional plane. In other words, the points of the curve are all on the same plane. In comparison, a space curve’s points …
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