Gwen smiled slightly, an odd closed curve of the lips.
The track need not be a closed curve; the starting and finishing lines could be different.
A periodic motion is a closed curve in phase space.
In the case of a closed curve it is also called a contour integral.
The intersection resembles a figure eight: it is a closed curve which intersects itself.
In geometry, circumference is the distance around a closed curve; for example, a circle.
Another example is: Find the smallest area surface filling in a closed curve in space.
The analemma is then a closed curve, which does not change.
Specifically, a closed curve on a plane is needed.
However circumference may also describe the outside of elliptical closed curves.