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<Text-field style="Heading 1" layout="Normal"><Font encoding="UTF-8">c\303\255rculo dos nove pontos,</Font></Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">s.</Font><Font encoding="UTF-8"> o c\303\255rculo descoberto por Poncelet sobre o qual ficam os p\303\251s das 3 alturas de um tri\303\242ngulo qualquer, os pontos m\303\251dios dos tr\303\252s lados e o ponto m\303\251dio dos segmentos de reta entre o ortocentro e os tr\303\252s v\303\251rtices do tri\303\242ngulo. O </Font><Font italic="true">centro dos nove pontos</Font><Font encoding="UTF-8"> deste c\303\255rculo fica no meio da </Font><Hyperlink linktarget="Dictionary:Definition/Eulerline" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">reta de Euler</Font></Hyperlink><Font encoding="UTF-8"> entre o ortocentro e o circuncentro. Na figura abaixo,  L, M e N s\303\243o os pontos m\303\251dios dos lados do tri\303\242ngulo ABC; X, Y e Z s\303\243o os p\303\251s das alturas e P o ortocentro do tri\303\242ngulo; o c\303\255rculo LXMYNZ divide AP, BP e CP em duas partes iguais. </Font></Text-field>
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