For a simple closed curve, there are only two possibilities.

For the same reason, a single simple closed curve can never evolve to cross itself.

In a simple closed curve, all turning angles are covered.

Let a closed curve be the line along the edge a called .

A periodic motion is a closed curve in phase space.

Then is a simple closed curve in the plane.

These surfaces are generated even if spine is also a closed curve.

In the case of a closed curve it is also called a contour integral.

Let be a simple closed curve whose image is the boundary .

Specifically, a closed curve on a plane is needed.

Let P be a point inside a continuous closed curve in the plane which does not intersect itself.

Gwen smiled slightly, an odd closed curve of the lips.

Let Ω be a region bounded by a simple closed curve.

This self homeomorphism acts on the closed curve along b.

Objects (subgraphs) enclosed by a simple closed curve called a cut.

It can be shown that then the projection of this line is a simple closed curve on a torus.

In this example, the other integral curves are all simple closed curves.

The circulation around a closed curve C is the line integral:

This behavior is sometimes summarized by saying that every simple closed curve shrinks to a "round point".

The track need not be a closed curve; the starting and finishing lines could be different.

The definition is then expanded to arbitrary closed curves.

In geometry, circumference is the distance around a closed curve; for example, a circle.

Three small closed curves underneath, like circles with tails.

The field is defined by the infinitesimal gauge group elements associated with closed curves.

The intersection resembles a figure eight: it is a closed curve which intersects itself.