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<Text-field style="Heading 1" layout="Normal">ellipse,</Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">n.</Font><Font encoding="UTF-8"> figura geom\303\251trica fechada coma forma de um c\303\255rculo esticado e sim\303\251trica sobre dois eixos de diferentes comprimentos. ( o </Font><Hyperlink linktarget="Dictionary:Definition/major" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">major(maior)</Font></Hyperlink> e <Hyperlink linktarget="Dictionary:Definition/minoraxis" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">minor axes(eixo menor)</Font></Hyperlink>); a <Hyperlink linktarget="Dictionary:Definition/conicsection" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">conic section(se\303\247\303\243o menor)</Font></Hyperlink> com <Hyperlink linktarget="Dictionary:Definition/eccentricity" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">eccentricity(excentricidade)</Font></Hyperlink><Font encoding="UTF-8"> menor que 1. Na figura abaixo os eixos de simetria s\303\243o mostrados, e a excentricidade \303\251 a raz\303\243o PF/PX,  onde F \303\251 um </Font><Hyperlink linktarget="Dictionary:Definition/focus" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">focus(foco)</Font></Hyperlink><Font encoding="UTF-8"> e X o p\303\251 da perpendicular do ponto vari\303\241vel P para a </Font><Hyperlink linktarget="Dictionary:Definition/directrix" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">directrix(diretriz)</Font></Hyperlink> DE.</Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Uma elipse \303\251 formada pela interse\303\247\303\243o de  bounded nappe de um </Font><Hyperlink linktarget="Dictionary:Definition/cone" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">cone</Font></Hyperlink><Font encoding="UTF-8"> reto circular com um plano que n\303\243o corta sua base; ou seja, \303\251 a proje\303\247\303\243o de um c\303\255rculo em outro plano n\303\243o paralelo, e \303\251 o lugar geom\303\251trico dos pontos cuja soma das dist\303\242ncias aos dois focos \303\251 constante. A equa\303\247\303\243o can\303\264nica de uma elipse \303\251 </Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="x^2/((a^2))+y^2/((b^2)) = 1">NiMvLCYqJilJInhHNiIiIiMiIiIqJClJImFHNiIiIiMiIiIhIiIiIiIqJilJInlHNiIiIiMiIiIqJClJImJHNiIiIiMiIiIhIiIiIiIiIiI=</Equation><Font encoding="UTF-8">, 
quando a elipse \303\251 sim\303\251trica na origem como mostrada, e faz a interse\303\247\303\243o nos eixos nos pontos  (<Font family="MaplePi">\302\261</Font></Font><Font italic="true">a</Font>, 0)  e  (0, <Font family="MaplePi" encoding="UTF-8">\302\261</Font><Font italic="true">b</Font><Font encoding="UTF-8">);  suas equa\303\247\303\265es param\303\251tricas s\303\243o: </Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="x = a*cos*theta">NiMvSSJ4RzYiKihJImFHNiIiIiJJJGNvc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IiIiIkkmdGhldGFHNiIiIiI=</Equation>,   <Equation executable="false" style="2D Math" input-equation="y = b*sin*theta">NiMvSSJ5RzYiKihJImJHNiIiIiJJJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IiIiIkkmdGhldGFHNiIiIiI=</Equation>. 
Possui o foco em  (<Font family="MaplePi" encoding="UTF-8">\302\261</Font><Font italic="true">ae</Font>, 0), onde  <Font italic="true">e</Font><Font encoding="UTF-8"> \303\251 a excentricidade, e </Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="ae = sqrt(a^2-b^2)">NiMvSSNhZUc2Ii1JJXNxcnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywmKiQpSSJhRzYiIiIjIiIiIiIiKiQpSSJiRzYiIiIjIiIiISIi</Equation><Font encoding="UTF-8">. 
Sua \303\241rea \303\251 ent\303\243o </Font><Font family="MaplePi">p</Font> <Font italic="true">ab</Font><Font encoding="UTF-8">,  mas n\303\243o h\303\241 nenhuma forma fechada para o per\303\255metro sem usar </Font><Hyperlink linktarget="Dictionary:Definition/ellipticintegral" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">elliptic integrals(integrais el\303\255pticas)</Font></Hyperlink>.</Text-field>
</Worksheet>