Geodesic
Constructions in the Locus of Isogonal Conjugates for a Quadrilateral
Journal for geometry and graphics, Tome 24 (2020) no. 1, pp. 9-28 Cet article a éte moissonné depuis la source Heldermann Verlag

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Given fixed distinct points A, B, C, D, we examine properties of and constructions involving the cubic plane curve locus of points X for which (XA, XC), (XB, XD) are isogonal. We establish a necessary and sufficient condition for all cubics Cu in real plane R2 such that there exist corresponding points A, B, C, D in Cu for which Cu is this exact locus.
Classification : 51N20, 51N35, 51N15
Mots-clés : isogonal cubic, focal cubic, isogonal conjugate, excellent point, spiral center of quadrangle, Miquel point 
@article{JGG_2020_24_1_JGG_2020_24_1_a1,
     author = {D. Hu },
     title = {Constructions in the {Locus} of {Isogonal} {Conjugates} for a {Quadrilateral}},
     journal = {Journal for geometry and graphics},
     pages = {9--28},
     year = {2020},
     volume = {24},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2020_24_1_JGG_2020_24_1_a1/}
}
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D. Hu . Constructions in the Locus of Isogonal Conjugates for a Quadrilateral. Journal for geometry and graphics, Tome 24 (2020) no. 1, pp. 9-28. http://geodesic.mathdoc.fr/item/JGG_2020_24_1_JGG_2020_24_1_a1/