Simultaneous generalizations of the theorems of Ceva and Menelaus for field planes |
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| Authors: | Kelly B Houston Robert C Powers |
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| Institution: | 1. Department of Mathematics , University of Louisville , Louisville, KY 40292, USA kbfunk01@gmail.com;3. Department of Mathematics , University of Louisville , Louisville, KY 40292, USA |
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| Abstract: | 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, 𝔽) where 𝔽 is a field. |
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| Keywords: | projective plane field plane homography |
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