The isogonal conjugate of a point with respect to a triangle is constructed by reflecting each of the three lines from the point to a vertex across that vertex's angle bisector, and taking the common intersection point of the three reflected lines. Every point not lying on the triangle's sides or their extensions has a unique isogonal conjugate, and the construction is its own inverse, so the isogonal conjugate of the conjugate is the original point. Many notable triangle centers pair up as isogonal conjugates of each other, including the incenter, which is its own isogonal conjugate, and the pairing of the circumcenter with the orthocenter. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Source Isogonal Conjugate (Wikipedia)
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Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.
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1. Isogonal Conjugate (Wikipedia)
In Branch: Geometry, Lead sentenceQuote, In Branch: Geometry, Lead sentence
In geometry, the isogonal conjugate of a point P with respect to a triangle △ABC is constructed by reflecting the lines PA, PB, PC
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