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O demonstratie a inegalitatii Erdos-Mordell pt poligoane

 
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Cosmin Pohoata
Euclid


Joined: 01 Feb 2008
Posts: 20
Location: Princeton, NJ

PostPosted: Sun Jun 01, 2008 10:53 am    Post subject: O demonstratie a inegalitatii Erdos-Mordell pt poligoane Reply with quote

In Recent Advances in Geometric Inequalities, autorii indica existenta unei demonstratii a inegalitatii Erdos-Mordell pt poligoane convexe (constanta 2 din cazul triunghiului fiind inlocuita cu \frac{1}{\cos{\frac{\pi}{n}}}) date de Lenhard. Cautand pe net, am gasit referinta exacta:

Hans-Christof Lenhard, Verallgemeinerung und Verschärfung der Erdös-Mordellschen Ungleichung für Polygone, Archiv der Mathematik 12 (1961), 311-314.

Articolul poate fi localizat aici.

Daca are cineva acces la el, va rog sa imi trimiteti un mesaj privat sa va dau email-ul pentru a mi-l trimite. Multumesc anticipat.
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Cosmin Pohoata
Euclid


Joined: 01 Feb 2008
Posts: 20
Location: Princeton, NJ

PostPosted: Sat Apr 18, 2009 11:05 am    Post subject: Reply with quote

S-a rezolvat. Multumiri domnului Dinca.
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Lema 2. Dupa un paharel esti un alt om.
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