Geodesic
Constructions in the Locus of Isogonal Conjugates for a Quadrilateral
Journal for geometry and graphics, Tome 24 (2020) no. 1, pp. 9-28

Voir la notice de l'article provenant de la source Heldermann Verlag

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 
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/
@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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