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Classroom Notes

Minimizing inside a triangle with GeoGebra

Pages 913-923 | Received 09 Dec 2021, Published online: 12 May 2022

References

  • Abboud, E. (2010). Viviani's theorem and its extension. The College Mathematics Journal, 41(3), 207–215. https://doi.org/10.4169/074683410X488683
  • Abboud, E. (2017). Loci of points inspired by Viviani's theorem. Mathematics Magazine, 90(5), 338–346. https://doi.org/10.4169/math.mag.90.5.338
  • Abboud, E. (n.d.). Minimal sum of powered distances from the sides of a triangle. arXiv:1707.01853.
  • Apostol, T. M., & Mnatsakanian, M. A. (2001). Sums of squares of distances. Math Horizons, 9(2), 21–22. https://doi.org/10.1080/10724117.2001.12021858
  • Nikolov, N., & Rafailov, R. (2011). On the sum of powered distances to certain sets of points on the circle. Pacific Journal of Mathematics, 253(1), 157–168. https://msp.org/pjm/2011/253-1/p10.xhtml
  • Sekino, J. (1999). n-Ellipses and the minimum distance sum problem. The American Mathematical Monthly, 106(3), 193–202. https://doi.org/10.1080/00029890.1999.12005030

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