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Generalized Varignon's and medial triangle theorems

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In this paper, we extend the medial triangle theorem and Varignon's theorem to generic two-dimensional polygons and highlight the role played by diagonals in this process. One of the results is a synthetic definition of the concept of median for an $n$-sided polygon.

Abstract

In this paper, we extend the medial triangle theorem and Varignon's theorem to generic two-dimensional polygons and highlight the role played by diagonals in this process. One of the results is a synthetic definition of the concept of median for an $n$-sided polygon.

참고문헌 (17)

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  17. P. Varignon, "Elemens de Mathematique de Monsieur Varignon", Springer

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