Poncelet pairs of a circle and parabolas from a confocal family and Painlevé VI equations

Vladimir Dragović, Mohammad Hassan Murad

We study pairs of conics $(\mathcal{D},\mathcal{P})$, called \textit{$n$-Poncelet pairs}, such that an $n$-gon, called an \textit{$n$-Poncelet polygon}, can be inscribed into $\mat…