On Thébault’s problem 3887

Authors

  • Pavel Leischner Faculty of Science, Palacký University, Olomouc

Abstract

In 1938, V. Thébault published in The American Mathematical Monthly problem 3887, whose first solution mentioned in Monthly is from 1983. In the 21st century it became clear, that a more general theorem was pronounced and proved in the same magazine by Japanese Y. Sawayama already in 1905.
The article shows in more details the history of the problem, introduces the Sawayama’s theorem and proves the problem of using the original Sawayama’s ideas from the point of view of current synthetic geometry.

Published

2018-09-04

How to Cite

Leischner, P. (2018). On Thébault’s problem 3887. MATHEMATICS–PHYSICS–INFORMATICS, 27(4), 241–251. Retrieved from https://mfi.upol.cz/index.php/mfi/article/view/410

Issue

Section

Mathematics