On circles which cut out from three lines segments of given length
type: Item
instance of: scholarly article
title: On circles which cut out from three lines segments of given length
zbMATH Open document ID: 0812.51012
author: Roland Stärk
published in: Elemente der Mathematik
publication date: 1995-05-16T00:00:00Z
full work available at URL: https://eudml.org/doc/141564
review text: Apart from the circumcircle, a triangle ABC has three circles that cut out from the lines BC, CA, AB segments whose lengths are equal to those of the sides of the triangle. \textit{L. Stammer} [ibid. 47, No. 4, 158-168 (1992; Zbl 0777.51007)] showed that the centres of these three circles are the vertices of an equilateral triangle, a result reminiscent of Morley's theorem. In the present paper the author gives a short elementary proof of this result.
reviewed by: E. J. F. Primrose
Mathematics Subject Classification ID: 51M15
zbMATH DE Number: 698835
zbMATH Keywords: triangle
zbMATH Keywords: circle
zbMATH Keywords: equilateral triangle
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 698835