On strict strong constructibility with a compass alone
type: Item
instance of: scholarly article
title: On strict strong constructibility with a compass alone
zbMATH Open document ID: 0712.51014
DOI: 10.1007/BF01222890
author: Arnon Avron
published in: Journal of Geometry
publication date: 1990-01-01T00:00:00Z
review text: Let S be a set of points in the Euclidean plane. The authors show that every point of the plane which can be constructed by a compass and a ruler can be constructed as well by a compass alone subject to the following restriction: Choose two points 0 and K of S. Then every point is obtained as the proper intersection (no tangent points!) of two circles which are either symmetrical to the line OK or have their centres on OK. This improves an earlier paper of the authors [J. Geom. 30, 28-35 (1987; Zbl 0627.51017)].
reviewed by: Hans Havlicek
Mathematics Subject Classification ID: 51M15
zbMATH DE Number: 4171834
zbMATH Keywords: construction with a compass alone
Wikidata QID: Q61050761
MaRDI profile type: Publication
cites work: Theorems on strong constructibility with a compass alone
full work available at URL: https://doi.org/10.1007/bf01222890
OpenAlex ID: W2022082759
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description: scientific article; zbMATH DE number 4171834