In geometry, an arbelos is a plane region bounded by three semicircles connected at the corners, all on the same side of a straight line (the baseline) that contains their diameters.[1]
The earliest known reference to this figure is in the Book of Lemmas, where some of its mathematical properties are stated as Propositions 4 through 8.
To construct a Pappus chain within an arbelos, begin by identifying the three semicircles that define the arbelos, which are formed by three tangent circles. From the points where these semicircles touch, draw circles tangent to each other and to the sides of the arbelos. The centers of these tangent circles will form a chain, known as the Pappus chain, which can be extended infinitely. This construction utilizes the unique properties of the arbelos and the relationships of tangency among the circles.
Carlos Arbelos has written: 'Matices flamencos' -- subject(s): Portraits, Flamenco musicians, Biography, Flamenco dancers
Arbelos or astroid, not sure which one you are looking for.
It is rather complex, and a multi-step process. See the link below for a full answer.