English

A note and a short survey on supporting lines of compact convex sets in the plane

Combinatorics 2016-12-06 v1 Metric Geometry

Abstract

After surveying some known properties of compact convex sets in the plane, we give a two rigorous proofs of the general feeling that supporting lines can be slide-turned slowly and continuously. Targeting a wide readership, our treatment is elementary on purpose.

Keywords

Cite

@article{arxiv.1612.01453,
  title  = {A note and a short survey on supporting lines of compact convex sets in the plane},
  author = {Gábor Czédli and László L. Stachó},
  journal= {arXiv preprint arXiv:1612.01453},
  year   = {2016}
}

Comments

12 pages, 4 figures