The Feuerbach circle and the other remarkable circles of the cyclic polygons (Q2509477)

Feuerbach circle and Euler line are classical objects regarding triangle geometry. Several works have been devoted over time to study some of their \textit{remarkable} properties. In the paper under review, the author shows that these objects are in fact not so \textit{remarkable} in the sense that every cyclic polygon with \(n\) sides (\(n\)-polygon) has an infinite quantity of ``special'' circles (analogue to Feuerbach circle) such that their centers are aligned (in an analogue to Euer line).