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math.HO2025★ 3 cited
Parable of the Parabola
Vladimir Dragović, Mohammad Hassan Murad
We study triangles and quadrilaterals which are inscribed in a circle and circumscribed about a parabola. Although these are particular cases of the celebrated Poncelet's Theorem,…
math.CA2025★ 1 cited
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 , called \textit{-Poncelet pairs}, such that an -gon, called an \textit{-Poncelet polygon}, can be inscribed into $\mat…