English

How support lines touch an arc

Metric Geometry 2019-07-25 v1

Abstract

We prove that each simple polygonal arc {\gamma} attains at most two pairs of support lines of given angle difference such that each pair has s1 < s2 < s3 that {\gamma}(s1) and {\gamma}(s3) are on one such line and {\gamma}(s2) is on the other line.

Cite

@article{arxiv.1907.10215,
  title  = {How support lines touch an arc},
  author = {Wacharin Wichiramala},
  journal= {arXiv preprint arXiv:1907.10215},
  year   = {2019}
}

Comments

unpublished note 2013

R2 v1 2026-06-23T10:28:58.922Z