Kissing Circles: Phillip Beecroft

Authors

  • Pavel Leischner Pedagogical Faculty, University of South Bohemia, České Budějovice

Abstract

The article introduces almost forgotten work of Phillip Beecroft from 1842. Beecroft deduced that four circles, mutually tangent at six distinct points, determine four other circles, mutually tangent at the same six points, such that each circle of either tetrad intersects three circles of the other orthogonally at the points of mutual contact of those three ones. The observation has originally used to derive important relationships among the radii of these circles.

Published

2018-01-02

How to Cite

Leischner, P. (2018). Kissing Circles: Phillip Beecroft. MATHEMATICS–PHYSICS–INFORMATICS, 27(1), 1–8. Retrieved from https://mfi.upol.cz/index.php/mfi/article/view/377

Issue

Section

Mathematics