Poncelet triangles and the amazing loci of the isogonal conjugates

equalAxesCpRectBoth.m (86.5 KB)
isogEnvConfocal.m (38.8 KB)

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Dear Dr. Dan Reznik, I deeply admire your exceptional work, I have tried to understand how you have a conical inscribed CONFOCAL to the conic circumscribed in a family of Poncelet triangles. Could you tell me how I can create it in Mathematica? I have relied on some of his works, of course mine are light years away from his.
Greetings, I look forward to your reply!!

Thanks!! Sorry, I hadn’t seen your answer, thank you very much Dr.!!!