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  1. 4. Closed Curve: A closed curve has no endpoints and encloses an area (or a region). It is formed by joining the end points of an open curve together. Circles and ellipses are formed using closed curves. 5. Simple Curve: A simple curve changes direction but does not cross itself while changing direction. It can be open and closed.

  2. Apr 7, 2019 · I am struggling in understanding how to distinguish between simple/non simple and closed curves. For example, is a circle a simple curve? It does intersect itself in the starting point thanks

  3. A closed curve which does not cross itself is called a simple open curve. In the above figures, we can see the starting point and the end point are not the same Such figures are known as open curves. The curve which crosses itself is not a simple closed curve. Here is a collection of closed curves.

  4. A curve changes its direction but does not cross itself while changing direction. This type of curve is known as a simple curve. A simple curve may be open or closed. If a curve does cross itself, then it is called a Non-simple curve. Simple closed curve: Simple open curve: A closed curve that is not simple: An Open curve that is not simple:

  5. This type of curve is known as a simple curve. A simple curve may be open or closed. Non-Simple Curve. The non-simple curve is a type of curve that crosses its path. It means the curve intersects itself while changing its direction. Open Curve. A curve has two endpoints, and when it does not enclose the area within itself it is known as an open ...

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  7. Jun 22, 2023 · In Figure \(2,\) the curve is a closed curve, as we observe the smooth surface and continuous edges. Figure \(3\) is an upward curve. Figure \(4\) is a downward curve. Figure \(5\) shows a non-simple closed curve because it crosses itself. And, Figure \(6\) shows a non-simple open curve as it crosses itself and has two endpoints.

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