English

$3$-webs generated by confocal conics and circles

Metric Geometry 2017-05-04 v2

Abstract

We consider families of confocal conics and two pencils of Apollonian circles having the same foci. We will show that these families of curves generate trivial 3-webs and find the exact formulas describing them.

Cite

@article{arxiv.1611.06532,
  title  = {$3$-webs generated by confocal conics and circles},
  author = {Arseniy Akopyan},
  journal= {arXiv preprint arXiv:1611.06532},
  year   = {2017}
}

Comments

8 pages, 8 figures

R2 v1 2026-06-22T16:58:26.100Z