English

The trisector curve is transcendental

Differential Geometry 2013-01-31 v1

Abstract

We show that the distance trisector curve is not an algebraic curve, as was conjectured in the founding paper by T. Asano, J. Matousek and T. Tokoyama: "The distance trisector curve", Advances in Math., 212, 338-360 (2007).

Cite

@article{arxiv.1301.7322,
  title  = {The trisector curve is transcendental},
  author = {J. Monterde and F. Ongay},
  journal= {arXiv preprint arXiv:1301.7322},
  year   = {2013}
}

Comments

14 pages, 12 figures

R2 v1 2026-06-21T23:17:59.356Z