What is a similar shape to the arbelos but drawn using a curbe or shape other than circle? If it is parbelos, then what it is, what are the difference between both and how to draw it.
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A cone, in particular, is not shaped like an "ice cream cone" but rather like two ... arbelos - a plane region bounded by three mutually tangent semicircles
The area of the arbelos is equal to the area of a circle with diameter HA .
For a cone, only its surface area and volume becomes calculate-able
I want to know more about parbelos. I have googled it but all the information is hard to understand and not recent
Ok, am giving you all the needed information in a short while.
The arbelos is a classical geometric shape bounded by three mutually tangent
semicircles with collinear diameters.
The parbelos is defined as the region bounded by the three latus rectum arcs.
Latus rectum is defined as the chord perpendicular to the principal axis and passing through a focus of an ellipse, parabola, or hyperbola.
You can study all these from this book; Coxeter, H. S. M. Introduction
to Geometry, 2nd ed. New York: Wiley, pp. 116-118, 1969.
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