Simultaneous generalizations of the theorems of Ceva and Menelaus for field planes

• Autores: Kelly Houston, Robert Powers
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 40, Nº. 8, 2009, págs. 1085-1091
• Idioma: inglés
• DOI: 10.1080/00207390903121776
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• Resumen

  • In 1992, Klamkin and Liu proved a very general result in the Extended Euclidean Plane that contains the theorems of Ceva and Menelaus as special cases. In this article, we extend the Klamkin and Liu result to projective planes PG(2, ?) where ? is a field.