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For a positive integer n, an n-sided polygon lying on a circular arc or, shortly, an n-fan is a sequence of $$n+1$$ n+1 points on a circle going counterclockwise such that the “total rotation” $$\delta $$ δ from the first point to the last one is at most $$2\pi $$ 2π . We prove that for $$n\ge 3$$ n≥3 , the n-fan cannot be constructed with straightedge and compass in general from its central angle...
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