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<Text-field style="Heading 1" layout="Normal"><Font encoding="UTF-8">hiperbol\303\263ide de duas folhas,</Font></Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">s.</Font><Font encoding="UTF-8"> uma superf\303\255cie geom\303\251trica que consiste de duas partes separadas por uma dist\303\242ncia finita e as se\303\247\303\265es de corte de paralelas a dois dos eixos coordenados s\303\243o </Font><Hyperlink linktarget="Dictionary:Definition/hyperbola" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">hip\303\251rboles</Font></Hyperlink><Font encoding="UTF-8">, e as paralelas ao terceiro eixo s\303\243o elipses, exceto para o intervalo no qual n\303\243o existe interse\303\247\303\243o.</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">A equa\303\247\303\243o padr\303\243o de uma hiperbol\303\263ide de duas folhas \303\251 </Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>, 
onde  <Font italic="true">a, b</Font> e <Font italic="true">c</Font><Font encoding="UTF-8"> s\303\243o constantes e os eixos de simetria s\303\243o tomados como os eixos coordenados. Quando  </Font><Font italic="true">b</Font> = <Font italic="true">c</Font><Font encoding="UTF-8">, as se\303\247\303\265es  </Font><Font italic="true">y-z</Font><Font encoding="UTF-8"> s\303\243o circulares e esta \303\251 o <Font italic="true">hiperbol\303\263ide de revolu\303\247\303\243o de duas folhas</Font> obtido girando a hip\303\251rbole </Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>, 
ao redor do eixo-<Font italic="true">x</Font>.</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Worksheet>