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

Please let me know if you need any clarification. I'm always happy to answer your questions.