Define curve ,open and closed, simple and not simple curve
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The curves which do not have same starting and end points are called open curves. Some examples of open curves are given below. A closed curve which does not cross itself is called a simple closed curve. The curve which crosses itself is not a simple closed curve.
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The shape which is not closed by line-segments or a curve is called an open curve. The curves which do not have same starting and end points are called open curves. ... A closed curve which does not cross itself is called a simple closed curve. The curve which crosses itself is not a simple closed curve.
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