CENTROIDS AND SOME CHARACTERIZATIONS OF PARALLELOGRAMS |
Kim, Dong-Soo
(Department of Mathematics Chonnam National University)
Lee, Kwang Seuk (Yeosu Munsoo Middle School) Lee, Kyung Bum (Gwangju Munjeong Girls' High School) Lee, Yoon Il (Gwangju Management High School) Son, Seongjin (Department of Mathematics Chonnam National University) Yang, Jeong Ki (Gwangju Jeil High School) Yoon, Dae Won (Department of Mathematics Education and RINS Gyeongsang National University) |
1 | R. A. Johnson, Modem Geometry, Houghton-Mifflin Co., New York, 1929. |
2 | M. J. Kaiser, The perimeter centroid of a convex polygon, Appl. Math. Lett. 6 (1993), no. 3, 17-19. DOI |
3 | B. Khorshidi, A new method for finding the center of gravity of polygons, J. Geom. 96 (2009), no. 1-2, 81-91. DOI |
4 | D.-S. Kim, Ellipsoids and elliptic hyperboloids in the Euclidean space , Linear Algebra Appl. 471 (2015), 28-45. DOI |
5 | D.-S. Kim and D. S. Kim, Centroid of triangles associated with a curve, Bull. Korean Math. Soc. 52 (2015), no. 2, 571-579. DOI |
6 | D.-S. Kim and Y. H. Kim, Some characterizations of spheres and elliptic paraboloids, Linear Algebra Appl. 437 (2012), no. 1, 113-120. DOI |
7 | D.-S. Kim and Y. H. Kim, Some characterizations of spheres and elliptic paraboloids II, Linear Algebra Appl. 438 (2013) no. 3, 1356-1364. DOI |
8 | D.-S. Kim and Y. H. Kim, On the Archimedean characterization of parabolas, Bull. Korean Math. Soc. 50 (2013), no. 6, 2103-2114. DOI |
9 | D.-S. Kim, Y. H. Kim, and S. Park, Center of gravity and a characterization of parabolas, Kyungpook Math. J. 55 (2015), no. 2, 473-484. DOI |
10 | S. G. Krantz, A matter of gravity, Amer. Math. Monthly 110 (2003), no. 6, 465-481. DOI |
11 | S. G. Krantz, J. E. McCarthy, and H. R. Parks, Geometric characterizations of centroids of simplices, J. Math. Anal. Appl. 316 (2006), no. 1, 87-109. DOI |
12 | S. Stein, Archimedes. What did he do besides cry Eureka?, Mathematical Association of America, Washington, DC, 1999. |