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.
Analogy
Imagine walking around your neighborhood block without leaving it - you would eventually return to your starting point. Similarly, closed curves in mathematics loop back on themselves without any breaks or gaps.
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.
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