On Useful Couple of Circles

Authors

  • Lenka Juklová Faculty of Science, Palacký University, Olomouc
  • Jaroslav Švrček Faculty of Science, Palacký University, Olomouc

Abstract

The article deals with a demonstration to the reader of some unusual constructions of line segments of irrational length. It is based on one configuration of a couple of unit circles, in which there are some line segments of irrational length we can see directly. Line segments of the other irrational lengths we obtain by the construction of another suitable point. The proofs of the constructions are easy, based on the Pythagorean theorem and Euclidean theorems.

Published

2021-02-26

How to Cite

Juklová, L., & Švrček, J. (2021). On Useful Couple of Circles. MATHEMATICS–PHYSICS–INFORMATICS, 30(1), 27–31. Retrieved from https://mfi.upol.cz/index.php/mfi/article/view/526

Issue

Section

Mathematics