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Journals / International Electronic Journal of Geometry / 2011 / Volume: 4 Issue: 2

A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY

Jian Liu
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Publication Date
2011-10-30
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Liu, J. (2011). A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY. International Electronic Journal of Geometry, Volume: 4 Issue: 2. https://ajindex.com/articles/1411352

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References (16)

  1. P.Erdös, Problem 3740, Amer.Math.Monthly, 42(1935), 396.
  2. L.J.Mordell, Egy geometriai, probléma megoldása(Solution of a geometrical problem), Középiskolai Matematikaiés Fizikai Lapok 11(1935), 145-146.
  3. L.J.Mordell and D.F.Barrow, Solution of Problem 3740, Amer.Math.Monthly, 44(1937), 252- 254.
  4. G.R.Veldkamp, The Erdös-Mordell Inequality, Nieuw Tijdschr.Wisk, 45(1957/1958),193-196.
  5. V.Komornik, A short proof of the Erdös-Mordell theorem, Amer.Math.Monthly, 104(1997), 57-60.
  6. D.K.Kazarinoff, A simple proof of the Erdös-Mordell inequality for triangles, Michigan Math- ematical Journal, 4(1957), 97-98.
  7. L.Bankoff, An elementary proof of the Erdös-Mordell theorem, Amer.Math.Monthly, 65(1958), 521.
  8. A.Avez, A short proof of the Erdös and Mordell theorem, Amer.Math.Monthly, 100(1993), 60-62.
  9. H.Lee, Another proof of the Erdös-Mordell theorem, Forum Geom, 1(2001), 7-8.
  10. N.Dergiades, Signed distances and the Erdös-Mordell inequality, Forum Geom, 4(2004), 67- 68.
  11. C.Alsina, R.B.Nelsen, A visual proof of the Erdös-Mordell inequality, Forum Geom, 7(2001), 99-102.
  12. J.Liu, A sharpening of the Erdös-Mordell and its applications, Journal of Chongqing Normal University (Natural Science Edition), 22(2)(2005), 12-14(in Chinese).
  13. J.Liu, Several new inequalities for the triangle, Mathematics Competition, Hunan Education Press.Hunan, 15(1992), 80-100(in Chinese).
  14. Z.Wang, Proof of a geometric inequality, Commun. Stud. Inequal. 16(1)(2009), 66-68(in Chi- nese).
  15. D.S.Mitrinović J.E.Pečarić and V.Volenec, Recent Advances in Geometric Inequalities, Kluwer Acad. Publ., Dordrecht 1989.
  16. J.Liu, Applications of a corollary of the Wolstenholme inequality, Journal of luoyang teachers college, 22(5)(2003), 11-13(in Chinese).