---
_id: '6355'
abstract:
- lang: eng
  text: 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.
article_number: e7
article_processing_charge: No
arxiv: 1
author:
- first_name: Arseniy
  full_name: Akopyan, Arseniy
  id: 430D2C90-F248-11E8-B48F-1D18A9856A87
  last_name: Akopyan
  orcid: 0000-0002-2548-617X
- first_name: Sergey
  full_name: Avvakumov, Sergey
  id: 3827DAC8-F248-11E8-B48F-1D18A9856A87
  last_name: Avvakumov
  orcid: 0000-0002-7840-5062
citation:
  ama: 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>
  apa: 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>
  chicago: 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>.
  ieee: 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.
  ista: Akopyan A, Avvakumov S. 2018. Any cyclic quadrilateral can be inscribed in
    any closed convex smooth curve. Forum of Mathematics, Sigma. 6, e7.
  mla: 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>.
  short: A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
corr_author: '1'
date_created: 2019-04-30T06:09:57Z
date_published: 2018-05-31T00:00:00Z
date_updated: 2026-04-08T07:25:54Z
day: '31'
ddc:
- '510'
department:
- _id: UlWa
- _id: HeEd
- _id: JaMa
doi: 10.1017/fms.2018.7
ec_funded: 1
external_id:
  arxiv:
  - '1712.10205'
  isi:
  - '000433915500001'
file:
- access_level: open_access
  checksum: 5a71b24ba712a3eb2e46165a38fbc30a
  content_type: application/pdf
  creator: dernst
  date_created: 2019-04-30T06:14:58Z
  date_updated: 2020-07-14T12:47:28Z
  file_id: '6356'
  file_name: 2018_ForumMahtematics_Akopyan.pdf
  file_size: 249246
  relation: main_file
file_date_updated: 2020-07-14T12:47:28Z
fulldoi: https://doi.org/10.1017/fms.2018.7
has_accepted_license: '1'
intvolume: '         6'
isi: 1
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
project:
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '716117'
  name: Optimal Transport and Stochastic Dynamics
publication: Forum of Mathematics, Sigma
publication_identifier:
  issn:
  - 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
related_material:
  record:
  - id: '8156'
    relation: dissertation_contains
    status: public
status: public
title: Any cyclic quadrilateral can be inscribed in any closed convex smooth curve
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 6
year: '2018'
...