Antonio M. Oller-Marcén, The f-belos,
Forum Geometricorum, 13 (2013) 103--111.
Abstract. The arbelos is the shape bounded by three mutually tangent semicircles with collinear diameters.
Recently, Sondow introduced the parabolic analog, the parbelos and proved several properties of the
parbelos similar to properties of the arbelos. In this paper we give one step further and generalize the
situation considering the figure bounded by (quite) arbitrary similar curves, the f-belos. We prove
analog properties to those of the arbelos and parbelos and, moreover, we characterize the parbelos and the
arbelos as the f-beloses satisfying certain conditions.
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