Kissing Circles: Archimedes

Authors

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

Abstract

The article deals with the ancient knowledge of the tangent circles. The article analyzes how Archimedes deduced some properties of the arbelos. Contains a simple proof of Pappus Chain Theorem by inversion. Theorem 21 in Archimedes work On touching circles related to the circular inversion. Theorem 22 from the same work related to any nowadays properties of the triangle.

Published

2015-02-27

How to Cite

Leischner, P. (2015). Kissing Circles: Archimedes. MATHEMATICS–PHYSICS–INFORMATICS, 24(2), 87–94. Retrieved from https://mfi.upol.cz/index.php/mfi/article/view/191

Issue

Section

Mathematics