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math.MG2011
A generalization of Routh's triangle theorem
Arpad Benyi, Branko Curgus
We prove a generalization of the well known Routh's triangle theorem. As a consequence, we get a unification of the theorems of Ceva and Menelaus. A connection to Feynman's triangl…
math.MG2011
Triangles and groups via cevians
Árpád Bényi, Branko Ćurgus
For a given triangle and a real number we define Ceva's triangle $\CT_ρ(T)$ to be the triangle formed by three cevians each joining a vertex of to the point which divid…