Closed Curves

Definition

Closed curves are continuous curves that form closed loops without any endpoints. They start and end at the same point, creating shapes like circles, ellipses, or closed polygons.

Related terms

Open Curves: Unlike closed curves, open curves do not form complete loops and have distinct starting and ending points.

Simple Curve: A simple curve does not intersect itself; it has no self-intersections or crossovers.

Jordan Curve Theorem: The Jordan Curve Theorem states that any simple closed curve divides its plane into two regions - one inside and one outside - with no overlaps.