Exploring the Steiner-Soddy Porism

Parabola-Inscribed Poncelet Polygons Derived from the Bicentric Family

“…We can roughly divide it into three groups: (i) the study of point loci over certain triangle families [18,19,27], (ii) proving that loci of certain Poncelet triangle families are of a given curve type [9,13,21,23], and (iii) proving properties and invariants over N ≥ 3 Poncelet families [2,4,6,22]. Also related is the Steiner-Soddy Poncelet family which are the polar image of the so-called Brocard porism with respect to the circumcircle [10].…”