Geodesic
Surprising Relations Between the Areas of Triangles in the Configuration of Routh's Theorem
Journal for geometry and graphics, Tome 18 (2014) no. 2, pp. 199-203.

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

The paper considers some extremum problems related to the ratio of the areas of triangles formed by the intersection of three cevians in connection with Routh's Theorem. The solution of the problems brings surprising results related to the golden ratio.
Classification : 51M05, 51M16
Mots-clés : Routh's Theorem, triangle's area, extremum problems, golden ratio 
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     author = {V. Oxman and M. Stupel and A. Sigler },
     title = {Surprising {Relations} {Between} the {Areas} of {Triangles} in the {Configuration} of {Routh's} {Theorem}},
     journal = {Journal for geometry and graphics},
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V. Oxman; M. Stupel; A. Sigler . Surprising Relations Between the Areas of Triangles in the Configuration of Routh's Theorem. Journal for geometry and graphics, Tome 18 (2014) no. 2, pp. 199-203. http://geodesic.mathdoc.fr/item/JGG_2014_18_2_JGG_2014_18_2_a4/