Simple Curve

Pronunciation: /ˈsɪm pəl kɜrv/ ?

Two geometric figures. The figure on top is a closed curve that does not cross itself similar to an ellipse. This curve is labeled 'simple'. On the bottom is a closed curve that crosses itself, similar to an eight lying on its side. This curve is labeled 'complex'.
Figure 1: Simple and complex curves.

A simple curve is a curve that does not cross itself. A complex curve is a curve that is not simple. One way to think of a simple curve is that a path can be traversed along the curve from end to end or, for a closed curve, from a point back to itself, that does not intersect itself.

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Simple Curve. 2010-08-05. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/simplecurve.html.

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2010-08-05: Initial version (McAdams, David.)

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