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Anything that is not straight is referred to as a curve.
There are different types of curves. Some of which are:
- Simple curve
- Non-simple curve
- Open curve
- Closed curve
A curve that does not cross itself is called a simple curve.
A curve that crosses its own path is called a non-simple curve.
An open curve is a curve whose endpoints do not meet at any point. It has two endpoints.
A closed curve is a curve, which has no endpoints and enclosed an area.
A closed curve contains 3 parts. They are:
- Interior of the curve
- Exterior of the curve
- Boundary of the curve
1. Interior of the curve:
The inside / inner region of the curve is referred to as the interior of the curve. In the above figure, point A lies on the interior of the curve.
2. Exterior of the curve:
The outside / outer region of the curve referred to as the exterior of the curve. In the above figure, point B lies on the exterior of the curve.
3. Boundary of the curve:
The curve, which divides the interior and exterior part, is called a boundary of the curve. In the above figure, point C lies on the boundary of the curve.
Important!
The interior and boundary of the curve together are called "the region" of the curves.
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