Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON THE EXISTENCE OF INSCRIBED POLYGONS

  • Received : 2017.10.07
  • Accepted : 2017.11.15
  • Published : 2018.03.25
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Abstract

We consider the existence problem of inscribed n-gons ($n{\geq}5$) in a circle and find a necessary condition on exterior angles $a_1,\;{\cdots},\;a_n$ of an inscribed n-gon. Conversely, we show that this condition is sufficient for an inscribed polygon with exterior angles $a_1,\;{\cdots},\;a_n$ in this cyclic order to exist.

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References

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