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CENTROIDS AND SOME CHARACTERIZATIONS OF PARALLELOGRAMS
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 Title & Authors
CENTROIDS AND SOME CHARACTERIZATIONS OF PARALLELOGRAMS
Kim, Dong-Soo; Lee, Kwang Seuk; Lee, Kyung Bum; Lee, Yoon Il; Son, Seongjin; Yang, Jeong Ki; Yoon, Dae Won;
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 Abstract
For a polygon P, we consider the centroid of the vertices of P, the centroid of the edges of P and the centroid of the interior of P, respectively. When P is a triangle, the centroid always coincides with the centroid . For the centroid of a triangle, it was proved that the centroid of a triangle coincides with the centroid of the triangle if and only if the triangle is equilateral. In this paper, we study the relationships between the centroids , and of a quadrangle P. As a result, we show that parallelograms are the only quadrangles which satisfy either $G_0
 Keywords
center of gravity;centroid;polygon;triangle;quadrangle;parallelogram;
 Language
English
 Cited by
 References
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