Plane Curve -- from Wolfram MathWorld

A plane curve is a curve that lies in a single plane. A plane curve may be closed or open. Curves which are interesting for some reason and whose properties have therefore been investigates are called "special" curves (Lawrence 1972). Some of the most common open curves are the line, parabola, and hyperbola, and some of the most common closed curves are the circle and ellipse.

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