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Magic circles in the arbelos
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-3681-3535
2010 (English)In: The Montana Mathematics Enthusiast, ISSN 1551-3440, E-ISSN 1551-3440, Vol. 7, no 2&3, 209-222 p.Article in journal (Refereed) Published
Abstract [en]

In the arbelos three simple circles are constructed on which the tangency points for three circle chains, all with Archimedes’ circle as a common starting point, are situated. In relation to this setting, some algebraic formulae and remarks are presented. The development of the ideas and the relations that were “discovered” were strongly mediated by the use of dynamic geometry software.

Place, publisher, year, edition, pages
Charlotte, NC: Information Age Publishing , 2010. Vol. 7, no 2&3, 209-222 p.
Keyword [en]
Geometry, circle chains, arbelos, inversion
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-58608OAI: oai:DiVA.org:liu-58608DiVA: diva2:344109
Available from: 2010-08-17 Created: 2010-08-17 Last updated: 2017-12-12

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Bergsten, Christer

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