Abstract
The arbelos is a classical geometric shape bounded by three mutually tangent
semicircles with collinear diameters. We introduce a parabolic analog, the
parbelos. After a review of the parabola, we use theorems of Archimedes and
Lambert to demonstrate seven properties of the parbelos, drawing analogies to
similar properties of the arbelos, some of which may be new. The seventh
constructs a parbelos directly from an arbelos via a locus. Along the way we
mention the Universal Parabolic Constant (an analog of pi) and an origami fold.
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