English

Bisection of geodesic segments in hyperbolic geometry

Metric Geometry 2013-07-11 v5

Abstract

Given a pair of points in the hyperbolic half plane or the unit disk, we provide a simple construction of the midpoint of the hyperbolic geodesic segment joining the points.

Keywords

Cite

@article{arxiv.1108.2948,
  title  = {Bisection of geodesic segments in hyperbolic geometry},
  author = {Matti Vuorinen and Gendi Wang},
  journal= {arXiv preprint arXiv:1108.2948},
  year   = {2013}
}

Comments

17 pages, 16 figures

R2 v1 2026-06-21T18:50:28.370Z