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Deriving conic properties and circle relations in triangles, highlighting new geometric insights.
Circle configurations in triangles are examined through the lens of conics. Conic properties are applied to derive concurrency and tangency relations that recover and extend Thebault’s configuration. Identities for inradii and exradii, together with sangaku-style equal circle results, are obtained as corollaries.
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Hussein Khayou (2026) studied this question.
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