Any cyclic quadrilateral can be inscribed in any closed convex smooth curve
published
yes
Arseniy
Akopyan
author 430D2C90-F248-11E8-B48F-1D18A9856A87
Sergey
Avvakumov
author 3827DAC8-F248-11E8-B48F-1D18A9856A87
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.
/download/6355/6356/2018_ForumMahtematics_Akopyan.pdf
application/pdfno
cc_by
Cambridge University Press2018
eng
Forum of Mathematics, Sigma
2050-5094
1712.1020510.1017/fms.2018.7
6
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018) e7.
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, Cambridge University Press, 2018, p. e7, doi:<a href="https://doi.org/10.1017/fms.2018.7">10.1017/fms.2018.7</a>.
Akopyan, A., & Avvakumov, S. (2018). Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. <i>Forum of Mathematics, Sigma</i>, <i>6</i>, e7. <a href="https://doi.org/10.1017/fms.2018.7">https://doi.org/10.1017/fms.2018.7</a>
Akopyan A, Avvakumov S. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. <i>Forum of Mathematics, Sigma</i>. 2018;6:e7. 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> 6 (2018): e7. <a href="https://doi.org/10.1017/fms.2018.7">https://doi.org/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, p. e7, 2018.
Akopyan A, Avvakumov S. 2018. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. 6, e7.
63552019-04-30T06:09:57Z2019-04-30T07:24:56Z