Journal for Geometry and Graphics 12 (2008), No. 1, 053--062
Copyright Heldermann Verlag 2008
Generalized Arbelos in Aliquot Parts: Intersecting Case
Hiroshi Okumura
Dept. of Life Science and Information, Maebashi Institute of Technology, 460-1 Kamisadori, Maebashi, Gunma 371-0816, Japan
okumura@maebashi-it.ac.jp
Masayuki Watanabe
Dept. of Integrated Design Engineering, Maebashi Institute of Technology, 460-1 Kamisadori, Maebashi, Gunma 371-0816, Japan
mwatanabe@maebashi-it.ac.jp
We will generalize the argument of arbelos in to the case where circles are intersecting. Almost all results are naturally generalized in this case. Also we construct a new family of Archimedean circles as a corollary.
Keywords: Arbelos, geometry of circles, Archimedean circles.
MSC: 51M04; 51M15
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