English

Circle incidence theorems

Metric Geometry 2018-12-12 v1

Abstract

Larry Hoehn discovered a remarkable concurrence theorem about pentagrams. Draw cicles through two consecutive vertices and the intersection points of the sides in between, Then the radical axes of each pair of consecutive circles are concurrent or parallel. In this note we prove a generalisation to n-gons.

Cite

@article{arxiv.1506.00810,
  title  = {Circle incidence theorems},
  author = {J. Chris Fisher and Eberhard M. Schröder and Jan Stevens},
  journal= {arXiv preprint arXiv:1506.00810},
  year   = {2018}
}

Comments

18 pages

R2 v1 2026-06-22T09:45:39.663Z