Geodesic
The Circumcevian-Inversion Perspector of Two Triangles
Journal for geometry and graphics, Tome 24 (2020) no. 2, pp. 217-232 Cet article a éte moissonné depuis la source Heldermann Verlag

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Beginning with a point P in the plane of a triangle ABC, reflections and circumcircle-inversions are used to define a triangle X'Y'Z' that is perspective to ABC. The perspector, denoted by Cip(P), defines a transform, Cip, that is applied to selected curves; e.g., Cip maps the Euler line to itself in a manner well represented by Shinagawa coefficients, and in general Cip maps lines to conics. Barycentric coordinates are used to determine properties of Cip and related points and mappings. Four new equilateral triangles are presented.
Classification : 51N20, 51N15
Mots-clés : Barycentric coordinates, circumcircle, circumcevian, inversion, perspective, Shinagawa coefficients 
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     author = {Suren and P. J. C. Moses and C. Kimberling },
     title = {The {Circumcevian-Inversion} {Perspector} of {Two} {Triangles}},
     journal = {Journal for geometry and graphics},
     pages = {217--232},
     year = {2020},
     volume = {24},
     number = {2},
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}
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Suren; P. J. C. Moses; C. Kimberling . The Circumcevian-Inversion Perspector of Two Triangles. Journal for geometry and graphics, Tome 24 (2020) no. 2, pp. 217-232. http://geodesic.mathdoc.fr/item/JGG_2020_24_2_JGG_2020_24_2_a6/