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geometry > geometric figure > point > isogonal conjugate
geometry > Euclidean geometry > point > isogonal conjugate

Preferred term

isogonal conjugate  

Definition(s)

  • In geometry, the isogonal conjugate of a point P with respect to a triangle ABC is constructed by reflecting the lines PA, PB, PC about the angle bisectors of A, B, C respectively. These three reflected lines concur at the isogonal conjugate of P. (This definition applies only to points not on a sideline of triangle ABC.) This is a direct result of the trigonometric form of Ceva's theorem.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Isogonal_conjugate)

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URI

http://data.loterre.fr/ark:/67375/PSR-V516SJ3T-N

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RDF/XML TURTLE JSON-LD Created 8/10/23, last modified 8/10/23