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  "path": "/abs/2604.26035v1",
  "publishedAt": "2026-04-30T00:00:00.000Z",
  "site": "https://arxiv.org",
  "tags": [
    "Ronaldo Garcia",
    "Shmuel",
    "Helman",
    "Dan Reznik"
  ],
  "textContent": "**Authors:** Ronaldo Garcia, Shmuel, Helman, Dan Reznik\n\nWe prove that over a generic Poncelet triangle family, the locus of the circumcenter of an inversive triangle is a conic. Additionally, we prove an earlier conjecture: over generic Poncelet triangles, two unique points exist which maintain constant power with respect to the circumcircle and Euler's circle of the family, respectively.",
  "title": "Conic locus of inversive Poncelet circumcenter and two points of invariant circle power"
}