Over generic Poncelet triangle families the locus of the inversive circumcenter is a conic and two points maintain invariant power with the circumcircle and Euler circle respectively.
(2019).Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other
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Conic locus of inversive Poncelet circumcenter and two points of invariant circle power
Over generic Poncelet triangle families the locus of the inversive circumcenter is a conic and two points maintain invariant power with the circumcircle and Euler circle respectively.