English

A porism concerning cyclic quadrilaterals

Metric Geometry 2014-08-08 v1 Mathematical Physics math.MP

Abstract

We present a geometric theorem on a porism about cyclic quadrilaterals, namely the existence of an infinite number of cyclic quadrilaterals through four fixed collinear points once one exists. Also, a technique of proving such properties with the use of pseudounitary traceless matrices is presented. A similar property holds for general quadrics as well as the circle.

Keywords

Cite

@article{arxiv.1408.1493,
  title  = {A porism concerning cyclic quadrilaterals},
  author = {Jerzy Kocik},
  journal= {arXiv preprint arXiv:1408.1493},
  year   = {2014}
}

Comments

11 pages,9 figures

R2 v1 2026-06-22T05:22:17.790Z