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http://dx.doi.org/10.5831/HMJ.2018.40.1.83

ON THE EXISTENCE OF INSCRIBED POLYGONS

Lim, So Yeon (Department of Mathematics, Chonnam National University)
Jin, Hong Sung (Department of Mathematics, Chonnam National University)
Lee, Kwang Seuk (Yeosu Munsoo Middle School)
Park, Myeongsoo (Department of Mathematics, Chonnam National University)
Kim, Dong-Soo (Department of Mathematics, Chonnam National University)

Publication Information

Honam Mathematical Journal / v.40, no.1, 2018 , pp. 83-91 More about this Journal

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.

Keywords

existence; inscribed polygon; exterior angle;

Citations & Related Records

Reference

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3	P. Schreiber, On the existence and constructibility of inscribed polygons, Beitrage zur Algebra und Geometrie 34(2) (1993), 195-199.