Simultaneous Generalizations of the Theorems of Menelaus, Ceva, Routh, and Klamkin/Liu

DOI10.1080/0025570X.2018.1495435zbMath1407.51021OpenAlexW2896763627MaRDI QIDQ4622990

Stephen Su, Chengshyong Lee

Publication date: 18 February 2019

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0025570x.2018.1495435

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04)

Cites Work

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• Concurrencies and areas in a triangle
• Why Are the Gergonne and Soddy Lines Perpendicular? A Synthetic Approach
• A Generalization of Ceva's Theorem
• Simultaneous Generalizations of the Theorems of Ceva and Menelaus
• A New Proof of Routh's Theorem
• Ceva, Menelaus, and the Area Principle
• Ceva's and Menelaus' Theorems and Their Converses via Centroids
• Simultaneous generalizations of the theorems of Ceva and Menelaus for field planes
• A Generalization of Routh’s Triangle Theorem

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