CodeParade's conjecture on centers of tangent conics to a quadrilateral

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Let QQ be a quadrilateral, and consider all conics tangent to the four extended sides of QQ. CodeParade's conjecture. The set of their centers is a straight line. The conjecture was proved in this paper as a theorem, giving a generalization of Newton's quadrilateral theorem from circles to arbitrary conics.

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Primary source

Rauan Kaldybayev, “A generalization of Newton's quadrilateral theorem and an elementary proof of Minthorn's quadrilateral theorem”, arXiv:2211.09764 (2022).

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