A Generalization of Routh’s Triangle Theorem

DOI10.4169/amer.math.monthly.120.09.841zbMath1295.51019arXiv1112.4813OpenAlexW2145287325WikidataQ58120718 ScholiaQ58120718MaRDI QIDQ5404042

Árpád Bényi, Branko Ćurgus

Publication date: 20 March 2014

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4813

zbMATH Keywords

Ceva's theoremMenelaus' theoremarea of triangle

Mathematics Subject Classification ID

Length, area and volume in real or complex geometry (51M25) Elementary problems in Euclidean geometries (51M04) Geometric constructions in real or complex geometry (51M15)

Related Items (6)

On the Steiner–Routh Theorem for Simplices ⋮ On the Routh-Steiner theorem and some generalisations ⋮ Simultaneous Generalizations of the Theorems of Menelaus, Ceva, Routh, and Klamkin/Liu ⋮ Routh's theorem for tetrahedra ⋮ A family of geometric operators on triangles with two complex variables ⋮ Unnamed Item

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