English

Any cyclic quadrilateral can be inscribed in any closed convex smooth curve

Metric Geometry 2018-06-05 v2 Geometric Topology

Abstract

We prove that any cyclic quadrilateral can be inscribed in any closed convex C1C^1-curve. The smoothness condition is not required if the quadrilateral is a rectangle.

Keywords

Cite

@article{arxiv.1712.10205,
  title  = {Any cyclic quadrilateral can be inscribed in any closed convex smooth curve},
  author = {Arseniy Akopyan and Sergey Avvakumov},
  journal= {arXiv preprint arXiv:1712.10205},
  year   = {2018}
}

Comments

6 pages, 10 figures