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\section[ª‰‘÷‰Ã¢û‰Ş‰ƒ‰ß  ¢ø¤ù, ¤¢ş‰±‰ú‰È‰´ 7731]
{õ‰Æ‰\hamze ‘ó‰‚û‰‘ı  ª‰‘÷‰Ã¢û‰Ş‰ƒ‰ß  ¢ø¤\hamze ù ó‰Ş‰³‰ƒ‰‘¢ ¤ş‰‘®‰ü
¢÷‰Çõ‰¥ö î‰È‰¤,\\* \InE{}~\EnE{}¤¢ş‰±‰ú‰È‰´ õ‰‘ù\InE{}~\EnE{}7731}
\begin{enumerate}
\item ğ‰Â \InE{}$a_1<a_2<\cdots<a_n$\EnE{}, \InE{}$n$\EnE{} —‰‘ ä‰À¢ Ÿ‰Ö‰ƒ‰Ö‰ü “‰‘ª‰€‰À, ™‰‘“‰´ î‰€‰ƒ‰À:

$a_1a^4_2+a_2a^4_3+\cdots+a_{n-1}a^4_n+a_na^4_1\geq a_2a^4_1+a_3a^4_2+
\cdots+a_na^4_{n-1}+a_1a^4_n$

\item õ‰·‰Ü‰¶ \InE{}$ABC$\EnE{} ¤ ¢¤ ÷‰Ñ‰Â õ‰üğ‰ƒ‰Âş‰İ. \InE{}$I$\EnE{} õ‰Âî‰Ã ¢ş‰Â\hamze ù õ‰½‰‘Ï‰ü ö ø \InE{}$D$\EnE{}
÷‰Ö‰Î‰\hamze ‚ —‰Ö‰‘Ï‰â \InE{}$AI$\EnE{} “‰‘ ¢ş‰Â\hamze ù õ‰Áî‰¤ [“‰‘ ¢ş‰Â\hamze ù õ‰½‰ƒ‰Î‰ü õ‰·‰Ü‰¶ \InE{}$ABC$\EnE{}\footnote{¢¤ 
¬‰Û ¬‰¤– õ‰Æ‰ÿ‰Ü‰‚ “‰‘ ó‰ç‰´ \InE{}''\EnE{}õ‰Áî‰¤\InE{}``\EnE{} ¢¢ù ª‰Àù “‰¢ù ¨‰´ î‰‚ ¬‰½‰ƒ‰¼ ÷‰ƒ‰Æ‰´. ğ‰Â “‰‚›‰‘ı 
ó‰ç‰´ õ‰Áî‰¤ ä‰±‰‘¤– ¢¡‰Û î‰Âøª‰‚ ğ‰Áª‰µ‰‚ ª‰¢, ¬‰¤– õ‰Æ‰\hamze ‘ó‰‚ ¢¤¨‰´ õ‰üª‰¢. )õ‰\hamze ó‰Ô‰ƒ‰ß(}] ¨‰´.
ê‰Â­ î‰€‰ƒ‰À \InE{}$E$\EnE{} ø \InE{}$F$\EnE{} “‰‚—‰Â—‰ƒ‰°
•‰‘ı ä‰Ş‰¢û‰‘ı ø¤¢ ¥ \InE{}$I$\EnE{} “‰Â \InE{}$BD$\EnE{} ø \InE{}$CD$\EnE{} “‰‘ª‰€‰À. ğ‰Â \InE{}$IE+IF=\frac{1}{2}AD$\EnE{},
¥øş‰\hamze ‚ \InE{}$\angle BAC$\EnE{} ¤ •‰ƒ‰À î‰€‰ƒ‰À.
\end{enumerate}
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