article published yes Arseniy Akopyan author 430D2C90-F248-11E8-B48F-1D18A9856A870000-0002-2548-617X Sergey Avvakumov author 3827DAC8-F248-11E8-B48F-1D18A9856A870000-0002-7840-5062 UlWa department HeEd department JaMa department Optimal Transport and Stochastic Dynamics project We prove that any cyclic quadrilateral can be inscribed in any closed convex C1-curve. The smoothness condition is not required if the quadrilateral is a rectangle. https://research-explorer.ista.ac.at/download/6355/6356/2018_ForumMahtematics_Akopyan.pdf application/pdfno Cambridge University Press2018 eng 2050-5094 1712.10205 00043391550000110.1017/fms.2018.7 6 https://research-explorer.ista.ac.at/record/8156 Akopyan A, Avvakumov S. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. <i>Forum of Mathematics, Sigma</i>. 2018;6. doi:<a href="https://doi.org/10.1017/fms.2018.7">10.1017/fms.2018.7</a> Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.” <i>Forum of Mathematics, Sigma</i>, vol. 6, e7, Cambridge University Press, 2018, doi:<a href="https://doi.org/10.1017/fms.2018.7">10.1017/fms.2018.7</a>. A. Akopyan and S. Avvakumov, “Any cyclic quadrilateral can be inscribed in any closed convex smooth curve,” <i>Forum of Mathematics, Sigma</i>, vol. 6. Cambridge University Press, 2018. Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2018. <a href="https://doi.org/10.1017/fms.2018.7">https://doi.org/10.1017/fms.2018.7</a>. Akopyan, A., &#38; Avvakumov, S. (2018). Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href="https://doi.org/10.1017/fms.2018.7">https://doi.org/10.1017/fms.2018.7</a> A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018). Akopyan A, Avvakumov S. 2018. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. 6, e7. 63552019-04-30T06:09:57Z2026-04-08T07:25:54Z