Geodesic
Dilation-Induced Perspectivities among Triangles
Journal for geometry and graphics, Tome 14 (2010) no. 1, pp. 1-14.

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

In the plane of a triangle ABC, let DEF be a triangle and U a point. Except for special cases, there are at most two nontrivial U-dilations of DEF that are perspective to ABC. Of particular interest are configurations in which DEF is perspective to ABC, as when DEF is a cevian or anticevian triangle. Midcevian and mid-isotomic triangles are introduced. Many loci associated with perspectivities among these triangles are Z cubics.
Classification : 51M04
Mots-clés : Perspective triangles, cevian triangles, anticevian triangles, midcevian triangles, mid-isotomic triangles 
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C. Kimberling; P. J. C. Moses . Dilation-Induced Perspectivities among Triangles. Journal for geometry and graphics, Tome 14 (2010) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/JGG_2010_14_1_JGG_2010_14_1_a0/