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.
"Magic Circles in the Arbelos,"
The Mathematics Enthusiast: Vol. 7
, Article 3.
Available at: http://scholarworks.umt.edu/tme/vol7/iss2/3