120:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Funciones racionales y cónicas:@0.073089:0.043661:0.343993:0.043661:0.343993:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5.1 Elipse:@0.293660:0.240956:0.367749:0.240956:0.367749:0.224009:0.293660:0.224009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Definición:@0.293660:0.267611:0.371628:0.267611:0.371628:0.250941:0.293660:0.250941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . Sean , , con > y , (:@0.371523:0.267611:0.716122:0.267604:0.716122:0.251892:0.371523:0.251898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b c:@0.417504:0.267611:0.457190:0.267611:0.457190:0.252175:0.417504:0.252175:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.460816:0.267315:0.475453:0.267315:0.475453:0.253905:0.460816:0.253905:0.000000 R:@0.479065:0.266745:0.492355:0.266745:0.492355:0.253847:0.479065:0.253847:0.000000 a c b:@0.527292:0.267604:0.587042:0.267604:0.587042:0.252169:0.527292:0.252169:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.586973:0.261541:0.592210:0.261541:0.592210:0.252380:0.586973:0.252380:0.000000 5:@0.595864:0.267050:0.611197:0.267050:0.611197:0.253334:0.595864:0.253334:0.000000 a:@0.614805:0.267604:0.624064:0.267604:0.624064:0.252169:0.614805:0.252169:0.000000 2:@0.623997:0.261541:0.629234:0.261541:0.629234:0.252380:0.623997:0.252380:0.000000 2:@0.632887:0.267050:0.648221:0.267050:0.648221:0.253334:0.632887:0.253334:0.000000 c:@0.651828:0.267604:0.659486:0.267604:0.659486:0.252169:0.651828:0.252169:0.000000 2:@0.659419:0.261541:0.664656:0.261541:0.664656:0.252380:0.659419:0.252380:0.000000 1:@0.683414:0.270777:0.688651:0.270777:0.688651:0.261616:0.683414:0.261616:0.000000 5 2:@0.692303:0.267050:0.731381:0.267050:0.731381:0.253334:0.692303:0.253334:0.000000:0.000000:0.000000 c:@0.731289:0.267604:0.738947:0.267604:0.738947:0.252169:0.731289:0.252169:0.000000 , 0), ( , 0). La elipse de :@0.738873:0.267604:0.931035:0.267604:0.931035:0.251892:0.738873:0.251892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.774499:0.270777:0.779736:0.270777:0.779736:0.261616:0.774499:0.261616:0.000000 5:@0.783390:0.267050:0.798723:0.267050:0.798723:0.253334:0.783390:0.253334:0.000000 c:@0.807135:0.267604:0.814793:0.267604:0.814793:0.252169:0.807135:0.252169:0.000000 centro y de eje transverso al eje se denota con ( , , ) y se define como el conjunto:@0.293665:0.284246:0.927029:0.284246:0.927029:0.268534:0.293665:0.268534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.536293:0.284246:0.543748:0.284246:0.543748:0.268811:0.536293:0.268811:0.000000 E:@0.654780:0.284246:0.662898:0.284246:0.662898:0.268811:0.654780:0.268811:0.000000 a b:@0.682100:0.284246:0.707594:0.284246:0.707594:0.268811:0.682100:0.268811:0.000000:0.000000:0.000000 E:@0.440523:0.310901:0.448641:0.310901:0.448641:0.295466:0.440523:0.295466:0.000000 ( , , ) { | || || || || 2 }.:@0.448567:0.310901:0.780042:0.310895:0.780042:0.295182:0.448567:0.295188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.467858:0.310895:0.493370:0.310895:0.493370:0.295459:0.467858:0.295459:0.000000:0.000000:0.000000 5:@0.502040:0.310340:0.517374:0.310340:0.517374:0.296624:0.502040:0.296624:0.000000 [:@0.538420:0.310605:0.553056:0.310605:0.553056:0.297195:0.538420:0.297195:0.000000 R:@0.556926:0.310035:0.570216:0.310035:0.570216:0.297137:0.556926:0.297137:0.000000 2:@0.570117:0.304831:0.575354:0.304831:0.575354:0.295670:0.570117:0.295670:0.000000 2:@0.607040:0.310340:0.622374:0.310340:0.622374:0.296624:0.607040:0.296624:0.000000 1:@0.634514:0.314067:0.639751:0.314067:0.639751:0.304907:0.634514:0.304907:0.000000 1:@0.651300:0.310340:0.666633:0.310340:0.666633:0.296624:0.651300:0.296624:0.000000 2:@0.690499:0.310340:0.705832:0.310340:0.705832:0.296624:0.690499:0.296624:0.000000 2:@0.717972:0.314067:0.723209:0.314067:0.723209:0.304907:0.717972:0.304907:0.000000 5:@0.734760:0.310340:0.750093:0.310340:0.750093:0.296624:0.734760:0.296624:0.000000 a:@0.762849:0.310895:0.772108:0.310895:0.772108:0.295459:0.762849:0.295459:0.000000 Los puntos fijos (:@0.293648:0.337549:0.452885:0.337543:0.452885:0.321830:0.293648:0.321837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.419219:0.340715:0.424456:0.340715:0.424456:0.331555:0.419219:0.331555:0.000000 5 2:@0.428587:0.336988:0.468126:0.336988:0.468126:0.323273:0.428587:0.323273:0.000000:0.000000:0.000000 c:@0.468034:0.337543:0.475691:0.337543:0.475691:0.322108:0.468034:0.322108:0.000000 , 0) y ( , 0) se llaman focos de la elipse, y la recta que pasa :@0.475618:0.337543:0.931300:0.337543:0.931300:0.321830:0.475618:0.321830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.521254:0.340715:0.526491:0.340715:0.526491:0.331555:0.521254:0.331555:0.000000 5:@0.530622:0.336988:0.545955:0.336988:0.545955:0.323273:0.530622:0.323273:0.000000 c:@0.554827:0.337543:0.562485:0.337543:0.562485:0.322108:0.554827:0.322108:0.000000 por y se llama eje transverso. :@0.293665:0.354185:0.539458:0.354185:0.539458:0.338472:0.293665:0.338472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.331034:0.357357:0.336270:0.357357:0.336270:0.348197:0.331034:0.348197:0.000000 2:@0.360425:0.357357:0.365662:0.357357:0.365662:0.348197:0.360425:0.348197:0.000000 De la definición del conjunto ( , , ) es claro que ( , , ) y ( , , ) ≠ Ø, como se :@0.293662:0.380840:0.930992:0.380833:0.930992:0.365121:0.293662:0.365127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 E:@0.506137:0.380840:0.514254:0.380840:0.514254:0.365404:0.506137:0.365404:0.000000 a b:@0.533239:0.380833:0.558530:0.380833:0.558530:0.365398:0.533239:0.365398:0.000000:0.000000:0.000000 E:@0.657285:0.380833:0.665403:0.380833:0.665403:0.365398:0.657285:0.365398:0.000000 a b:@0.684386:0.380833:0.709677:0.380833:0.709677:0.365398:0.684386:0.365398:0.000000:0.000000:0.000000 [:@0.718126:0.380695:0.733460:0.380695:0.733460:0.366646:0.718126:0.366646:0.000000 R:@0.737086:0.379973:0.750376:0.379973:0.750376:0.367076:0.737086:0.367076:0.000000 2:@0.750284:0.374769:0.755521:0.374769:0.755521:0.365609:0.750284:0.365609:0.000000 E:@0.770935:0.380833:0.779053:0.380833:0.779053:0.365398:0.770935:0.365398:0.000000 a b:@0.798026:0.380833:0.823317:0.380833:0.823317:0.365398:0.798026:0.365398:0.000000:0.000000:0.000000 mostrará más adelante.:@0.293648:0.397475:0.462393:0.397475:0.462393:0.381762:0.293648:0.381762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sea ( , ) . Entonces,:@0.293648:0.424130:0.500630:0.424123:0.500630:0.408411:0.293648:0.408417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.335652:0.423569:0.350985:0.423569:0.350985:0.409853:0.335652:0.409853:0.000000 x y:@0.357796:0.424123:0.379719:0.424123:0.379719:0.408688:0.357796:0.408688:0.000000:0.000000:0.000000 [:@0.386575:0.423833:0.401211:0.423833:0.401211:0.410424:0.386575:0.410424:0.000000 R:@0.405081:0.423264:0.418371:0.423264:0.418371:0.410366:0.405081:0.410366:0.000000 2:@0.418272:0.418060:0.423509:0.418060:0.423509:0.408899:0.418272:0.408899:0.000000 ( , ) (:@0.302077:0.450772:0.421303:0.450772:0.421303:0.435059:0.302077:0.435059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.306026:0.450217:0.321360:0.450217:0.321360:0.436501:0.306026:0.436501:0.000000 1:@0.333502:0.453944:0.338739:0.453944:0.338739:0.444784:0.333502:0.444784:0.000000 5:@0.342649:0.450217:0.357982:0.450217:0.357982:0.436501:0.342649:0.436501:0.000000 x y:@0.366633:0.450772:0.388556:0.450772:0.388556:0.435337:0.366633:0.435337:0.000000:0.000000:0.000000 2 2:@0.397226:0.450217:0.436544:0.450217:0.436544:0.436501:0.397226:0.436501:0.000000:0.000000:0.000000 c:@0.436452:0.450772:0.444109:0.450772:0.444109:0.435337:0.436452:0.435337:0.000000 , 0) ( , ), ( , ) ( , 0) ( , ).:@0.444036:0.450772:0.817487:0.450772:0.817487:0.435059:0.444036:0.435059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.468757:0.450217:0.484090:0.450217:0.484090:0.436501:0.468757:0.436501:0.000000 x:@0.492741:0.450772:0.500196:0.450772:0.500196:0.435337:0.492741:0.435337:0.000000 1:@0.504080:0.450217:0.519413:0.450217:0.519413:0.436501:0.504080:0.436501:0.000000 c y:@0.523279:0.450772:0.545404:0.450772:0.545404:0.435337:0.523279:0.435337:0.000000:0.000000:0.000000 2:@0.585418:0.450217:0.600752:0.450217:0.600752:0.436501:0.585418:0.436501:0.000000 2:@0.612892:0.453944:0.618129:0.453944:0.618129:0.444784:0.612892:0.444784:0.000000 5:@0.622039:0.450217:0.637372:0.450217:0.637372:0.436501:0.622039:0.436501:0.000000 x y:@0.646023:0.450772:0.667947:0.450772:0.667947:0.435337:0.646023:0.435337:0.000000:0.000000:0.000000 2:@0.676616:0.450217:0.691950:0.450217:0.691950:0.436501:0.676616:0.436501:0.000000 c:@0.700601:0.450772:0.708258:0.450772:0.708258:0.435337:0.700601:0.435337:0.000000 5:@0.732906:0.450217:0.748239:0.450217:0.748239:0.436501:0.732906:0.436501:0.000000 x:@0.756890:0.450772:0.764345:0.450772:0.764345:0.435337:0.756890:0.435337:0.000000 2:@0.768229:0.450217:0.783562:0.450217:0.783562:0.436501:0.768229:0.436501:0.000000 c y:@0.787428:0.450772:0.809554:0.450772:0.809554:0.435337:0.787428:0.435337:0.000000:0.000000:0.000000 Luego, :@0.293617:0.477426:0.346580:0.477426:0.346580:0.461714:0.293617:0.461714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 || || ( ) , || || ( ) .:@0.353907:0.504069:0.754325:0.504069:0.754325:0.488356:0.353907:0.488356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.373912:0.503514:0.389246:0.503514:0.389246:0.489798:0.373912:0.489798:0.000000 1:@0.401386:0.507241:0.406623:0.507241:0.406623:0.498080:0.401386:0.498080:0.000000 5:@0.418172:0.503514:0.433505:0.503514:0.433505:0.489798:0.418172:0.489798:0.000000 x:@0.453274:0.504069:0.460729:0.504069:0.460729:0.488633:0.453274:0.488633:0.000000 1:@0.464613:0.503514:0.479947:0.503514:0.479947:0.489798:0.464613:0.489798:0.000000 c:@0.483812:0.504069:0.491469:0.504069:0.491469:0.488633:0.483812:0.488633:0.000000 2:@0.496192:0.498005:0.501429:0.498005:0.501429:0.488844:0.496192:0.488844:0.000000 1:@0.505340:0.503514:0.520673:0.503514:0.520673:0.489798:0.505340:0.489798:0.000000 y:@0.524539:0.504069:0.532012:0.504069:0.532012:0.488633:0.524539:0.488633:0.000000 2:@0.531930:0.498005:0.537167:0.498005:0.537167:0.488844:0.531930:0.488844:0.000000 2:@0.583956:0.503514:0.599289:0.503514:0.599289:0.489798:0.583956:0.489798:0.000000 2:@0.611430:0.507241:0.616666:0.507241:0.616666:0.498080:0.611430:0.498080:0.000000 5:@0.628217:0.503514:0.643550:0.503514:0.643550:0.489798:0.628217:0.489798:0.000000 x:@0.663320:0.504069:0.670775:0.504069:0.670775:0.488633:0.663320:0.488633:0.000000 2:@0.674658:0.503514:0.689992:0.503514:0.689992:0.489798:0.674658:0.489798:0.000000 c:@0.693857:0.504069:0.701515:0.504069:0.701515:0.488633:0.693857:0.488633:0.000000 2:@0.706235:0.498005:0.711472:0.498005:0.711472:0.488844:0.706235:0.488844:0.000000 1:@0.715384:0.503514:0.730717:0.503514:0.730717:0.489798:0.715384:0.489798:0.000000 y:@0.734582:0.504069:0.742056:0.504069:0.742056:0.488633:0.734582:0.488633:0.000000 2:@0.741975:0.498005:0.747212:0.498005:0.747212:0.488844:0.741975:0.488844:0.000000 Tenemos la siguiente equivalencia: :@0.293665:0.530723:0.549565:0.530723:0.549565:0.515011:0.293665:0.515011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( , ) ( , , ) || || || || 2:@0.444646:0.557365:0.775174:0.557365:0.775174:0.541653:0.444646:0.541653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.448597:0.556811:0.463931:0.556811:0.463931:0.543095:0.448597:0.543095:0.000000 x y:@0.470741:0.557365:0.492664:0.557365:0.492664:0.541930:0.470741:0.541930:0.000000:0.000000:0.000000 [:@0.499520:0.557075:0.514156:0.557075:0.514156:0.543665:0.499520:0.543665:0.000000 E:@0.518026:0.557365:0.526144:0.557365:0.526144:0.541930:0.518026:0.541930:0.000000 a b:@0.545349:0.557365:0.570862:0.557365:0.570862:0.541930:0.545349:0.541930:0.000000:0.000000:0.000000 2:@0.619273:0.556811:0.634606:0.556811:0.634606:0.543095:0.619273:0.543095:0.000000 1:@0.646746:0.560538:0.651983:0.560538:0.651983:0.551377:0.646746:0.551377:0.000000 1:@0.663532:0.556811:0.678865:0.556811:0.678865:0.543095:0.663532:0.543095:0.000000 2:@0.702731:0.556811:0.718064:0.556811:0.718064:0.543095:0.702731:0.543095:0.000000 2:@0.730205:0.560538:0.735442:0.560538:0.735442:0.551377:0.730205:0.551377:0.000000 5:@0.746992:0.556811:0.762326:0.556811:0.762326:0.543095:0.746992:0.543095:0.000000 a:@0.775082:0.557365:0.784341:0.557365:0.784341:0.541930:0.775082:0.541930:0.000000 ( ) ( ) 2 .:@0.484153:0.584014:0.752160:0.584014:0.752160:0.568301:0.484153:0.568301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.500250:0.584014:0.507705:0.584014:0.507705:0.568578:0.500250:0.568578:0.000000 1:@0.511589:0.583459:0.526922:0.583459:0.526922:0.569743:0.511589:0.569743:0.000000 c:@0.530787:0.584014:0.538445:0.584014:0.538445:0.568578:0.530787:0.568578:0.000000 2:@0.543169:0.577950:0.548406:0.577950:0.548406:0.568789:0.543169:0.568789:0.000000 1:@0.552316:0.583459:0.567649:0.583459:0.567649:0.569743:0.552316:0.569743:0.000000 y:@0.571514:0.584014:0.578988:0.584014:0.578988:0.568578:0.571514:0.568578:0.000000 2:@0.578907:0.577950:0.584144:0.577950:0.584144:0.568789:0.578907:0.568789:0.000000 1:@0.588054:0.583459:0.603387:0.583459:0.603387:0.569743:0.588054:0.569743:0.000000 x:@0.619935:0.584014:0.627390:0.584014:0.627390:0.568578:0.619935:0.568578:0.000000 2:@0.631274:0.583459:0.646608:0.583459:0.646608:0.569743:0.631274:0.569743:0.000000 c:@0.650473:0.584014:0.658130:0.584014:0.658130:0.568578:0.650473:0.568578:0.000000 2:@0.662856:0.577950:0.668093:0.577950:0.668093:0.568789:0.662856:0.568789:0.000000 1:@0.672004:0.583459:0.687338:0.583459:0.687338:0.569743:0.672004:0.569743:0.000000 y:@0.691203:0.584014:0.698677:0.584014:0.698677:0.568578:0.691203:0.568578:0.000000 2:@0.698595:0.577950:0.703831:0.577950:0.703831:0.568789:0.698595:0.568789:0.000000 5:@0.711682:0.583459:0.727015:0.583459:0.727015:0.569743:0.711682:0.569743:0.000000 a:@0.739772:0.584014:0.749030:0.584014:0.749030:0.568578:0.739772:0.568578:0.000000 Para obtener la ecuación cartesiana de la elipse, consideramos la ecuación::@0.293653:0.610668:0.833844:0.610668:0.833844:0.594956:0.293653:0.594956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( , ) tal que ( ) ( ) 2 ,:@0.401726:0.637310:0.827266:0.637310:0.827266:0.621598:0.401726:0.621598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.405677:0.636756:0.421010:0.636756:0.421010:0.623040:0.405677:0.623040:0.000000 x y:@0.427821:0.637310:0.449744:0.637310:0.449744:0.621875:0.427821:0.621875:0.000000:0.000000:0.000000 [:@0.456599:0.637020:0.471236:0.637020:0.471236:0.623611:0.456599:0.623611:0.000000 R:@0.475105:0.636451:0.488395:0.636451:0.488395:0.623553:0.475105:0.623553:0.000000 2:@0.488295:0.631247:0.493532:0.631247:0.493532:0.622086:0.488295:0.622086:0.000000 :@0.551487:0.637310:0.566876:0.637310:0.566876:0.620641:0.551487:0.620641:0.000000:0.000000:0.000000:0.000000 x:@0.575343:0.637310:0.582798:0.637310:0.582798:0.621875:0.575343:0.621875:0.000000 1:@0.586682:0.636756:0.602015:0.636756:0.602015:0.623040:0.586682:0.623040:0.000000 c:@0.605881:0.637310:0.613538:0.637310:0.613538:0.621875:0.605881:0.621875:0.000000 2:@0.618257:0.631247:0.623494:0.631247:0.623494:0.622086:0.618257:0.622086:0.000000 1:@0.627404:0.636756:0.642737:0.636756:0.642737:0.623040:0.627404:0.623040:0.000000 y:@0.646602:0.637310:0.654076:0.637310:0.654076:0.621875:0.646602:0.621875:0.000000 2:@0.653996:0.631247:0.659232:0.631247:0.659232:0.622086:0.653996:0.622086:0.000000 1:@0.663142:0.636756:0.678475:0.636756:0.678475:0.623040:0.663142:0.623040:0.000000 x:@0.695024:0.637310:0.702479:0.637310:0.702479:0.621875:0.695024:0.621875:0.000000 2:@0.706362:0.636756:0.721696:0.636756:0.721696:0.623040:0.706362:0.623040:0.000000 c:@0.725561:0.637310:0.733219:0.637310:0.733219:0.621875:0.725561:0.621875:0.000000 2:@0.737944:0.631247:0.743181:0.631247:0.743181:0.622086:0.737944:0.622086:0.000000 1:@0.747093:0.636756:0.762426:0.636756:0.762426:0.623040:0.747093:0.623040:0.000000 y:@0.766291:0.637310:0.773765:0.637310:0.773765:0.621875:0.766291:0.621875:0.000000 2:@0.773683:0.631247:0.778920:0.631247:0.778920:0.622086:0.773683:0.622086:0.000000 5:@0.786789:0.636756:0.802122:0.636756:0.802122:0.623040:0.786789:0.623040:0.000000 a:@0.814878:0.637310:0.824137:0.637310:0.824137:0.621875:0.814878:0.621875:0.000000 de donde ( ) 2:@0.293658:0.663965:0.503243:0.663959:0.503243:0.648246:0.293658:0.648252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.386136:0.663965:0.393591:0.663965:0.393591:0.648530:0.386136:0.648530:0.000000 1:@0.397659:0.663410:0.412993:0.663410:0.412993:0.649695:0.397659:0.649695:0.000000 c:@0.417042:0.663965:0.424700:0.663965:0.424700:0.648530:0.417042:0.648530:0.000000 2:@0.429432:0.657895:0.434669:0.657895:0.434669:0.648734:0.429432:0.648734:0.000000 1:@0.438765:0.663404:0.454098:0.663404:0.454098:0.649688:0.438765:0.649688:0.000000 y:@0.458147:0.663959:0.465621:0.663959:0.465621:0.648523:0.458147:0.648523:0.000000 2:@0.465547:0.657895:0.470784:0.657895:0.470784:0.648734:0.465547:0.648734:0.000000 5:@0.474878:0.663404:0.490211:0.663404:0.490211:0.649688:0.474878:0.649688:0.000000 a – x:@0.503151:0.663959:0.548820:0.663959:0.548820:0.648523:0.503151:0.648523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) . Elevando al cuadrado ambos miembros, :@0.528277:0.663959:0.931168:0.663959:0.931168:0.648246:0.528277:0.648246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.552888:0.663404:0.568221:0.663404:0.568221:0.649688:0.552888:0.649688:0.000000 c:@0.572271:0.663959:0.579928:0.663959:0.579928:0.648523:0.572271:0.648523:0.000000 2:@0.584657:0.657895:0.589894:0.657895:0.589894:0.648734:0.584657:0.648734:0.000000 1:@0.593988:0.663404:0.609321:0.663404:0.609321:0.649688:0.593988:0.649688:0.000000 y:@0.613371:0.663959:0.620844:0.663959:0.620844:0.648523:0.613371:0.648523:0.000000 2:@0.620772:0.657895:0.626009:0.657895:0.626009:0.648734:0.620772:0.648734:0.000000 obtenemos: :@0.293655:0.680601:0.385205:0.680601:0.385205:0.664888:0.293655:0.664888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) 4 4 ( ) ( ) ,:@0.415088:0.707255:0.805479:0.707249:0.805479:0.691536:0.415088:0.691543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.419892:0.707255:0.427347:0.707255:0.427347:0.691820:0.419892:0.691820:0.000000 1:@0.431231:0.706701:0.446564:0.706701:0.446564:0.692985:0.431231:0.692985:0.000000 c:@0.450430:0.707255:0.458087:0.707255:0.458087:0.691820:0.450430:0.691820:0.000000 2:@0.462809:0.701185:0.468046:0.701185:0.468046:0.692025:0.462809:0.692025:0.000000 1:@0.471956:0.706694:0.487289:0.706694:0.487289:0.692979:0.471956:0.692979:0.000000 y:@0.491155:0.707249:0.498628:0.707249:0.498628:0.691814:0.491155:0.691814:0.000000 2:@0.498548:0.701185:0.503785:0.701185:0.503785:0.692025:0.498548:0.692025:0.000000 5:@0.507695:0.706694:0.523028:0.706694:0.523028:0.692979:0.507695:0.692979:0.000000 a:@0.535784:0.707249:0.545043:0.707249:0.545043:0.691814:0.535784:0.691814:0.000000 2:@0.544974:0.701185:0.550211:0.701185:0.550211:0.692025:0.544974:0.692025:0.000000 2:@0.554121:0.706694:0.569454:0.706694:0.569454:0.692979:0.554121:0.692979:0.000000 a x:@0.582211:0.707249:0.614092:0.707249:0.614092:0.691814:0.582211:0.691814:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.617976:0.706694:0.633309:0.706694:0.633309:0.692979:0.617976:0.692979:0.000000 c:@0.637175:0.707249:0.644832:0.707249:0.644832:0.691814:0.637175:0.691814:0.000000 2:@0.649561:0.701185:0.654798:0.701185:0.654798:0.692025:0.649561:0.692025:0.000000 1:@0.658708:0.706694:0.674041:0.706694:0.674041:0.692979:0.658708:0.692979:0.000000 y:@0.677907:0.707249:0.685380:0.707249:0.685380:0.691814:0.677907:0.691814:0.000000 2:@0.685300:0.701185:0.690536:0.701185:0.690536:0.692025:0.685300:0.692025:0.000000 1:@0.694446:0.706694:0.709780:0.706694:0.709780:0.692979:0.694446:0.692979:0.000000 x:@0.718431:0.707249:0.725886:0.707249:0.725886:0.691814:0.718431:0.691814:0.000000 2:@0.729770:0.706694:0.745103:0.706694:0.745103:0.692979:0.729770:0.692979:0.000000 c:@0.748969:0.707249:0.756626:0.707249:0.756626:0.691814:0.748969:0.691814:0.000000 2:@0.761347:0.701185:0.766583:0.701185:0.766583:0.692025:0.761347:0.692025:0.000000 1:@0.770495:0.706694:0.785828:0.706694:0.785828:0.692979:0.770495:0.692979:0.000000 y:@0.789694:0.707249:0.797167:0.707249:0.797167:0.691814:0.789694:0.691814:0.000000 2:@0.797085:0.701185:0.802322:0.701185:0.802322:0.692025:0.797085:0.692025:0.000000 x:@0.372835:0.733904:0.380290:0.733904:0.380290:0.718468:0.372835:0.718468:0.000000 2:@0.380214:0.727834:0.385451:0.727834:0.385451:0.718673:0.380214:0.718673:0.000000 2 4 4 ( ) 2:@0.385404:0.733897:0.758701:0.733897:0.758701:0.718185:0.385404:0.718185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.389361:0.733343:0.404694:0.733343:0.404694:0.719627:0.389361:0.719627:0.000000 cx:@0.417444:0.733897:0.432483:0.733897:0.432483:0.718462:0.417444:0.718462:0.000000:0.000000 1:@0.436385:0.733343:0.451718:0.733343:0.451718:0.719627:0.436385:0.719627:0.000000 c:@0.455584:0.733897:0.463241:0.733897:0.463241:0.718462:0.455584:0.718462:0.000000 2:@0.463161:0.727834:0.468398:0.727834:0.468398:0.718673:0.463161:0.718673:0.000000 1:@0.472308:0.733343:0.487641:0.733343:0.487641:0.719627:0.472308:0.719627:0.000000 y:@0.491506:0.733897:0.498980:0.733897:0.498980:0.718462:0.491506:0.718462:0.000000 2:@0.498899:0.727834:0.504136:0.727834:0.504136:0.718673:0.498899:0.718673:0.000000 5:@0.508046:0.733343:0.523379:0.733343:0.523379:0.719627:0.508046:0.719627:0.000000 a:@0.536136:0.733897:0.545394:0.733897:0.545394:0.718462:0.536136:0.718462:0.000000 2:@0.545326:0.727834:0.550563:0.727834:0.550563:0.718673:0.545326:0.718673:0.000000 2:@0.554473:0.733343:0.569806:0.733343:0.569806:0.719627:0.554473:0.719627:0.000000 a x:@0.582562:0.733897:0.614443:0.733897:0.614443:0.718462:0.582562:0.718462:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.618327:0.733343:0.633661:0.733343:0.633661:0.719627:0.618327:0.719627:0.000000 c:@0.637526:0.733897:0.645183:0.733897:0.645183:0.718462:0.637526:0.718462:0.000000 2:@0.649912:0.727834:0.655149:0.727834:0.655149:0.718673:0.649912:0.718673:0.000000 1:@0.659059:0.733343:0.674392:0.733343:0.674392:0.719627:0.659059:0.719627:0.000000 y:@0.678258:0.733897:0.685731:0.733897:0.685731:0.718462:0.678258:0.718462:0.000000 2:@0.685651:0.727834:0.690888:0.727834:0.690888:0.718673:0.685651:0.718673:0.000000 1:@0.694798:0.733343:0.710131:0.733343:0.710131:0.719627:0.694798:0.719627:0.000000 x:@0.713996:0.733897:0.721451:0.733897:0.721451:0.718462:0.713996:0.718462:0.000000 2:@0.721371:0.727834:0.726608:0.727834:0.726608:0.718673:0.721371:0.718673:0.000000 2:@0.730519:0.733343:0.745853:0.733343:0.745853:0.719627:0.730519:0.719627:0.000000 cx :@0.758609:0.733897:0.776887:0.733897:0.776887:0.718462:0.758609:0.718462:0.000000:0.000000:0.000000 1:@0.776832:0.733343:0.792165:0.733343:0.792165:0.719627:0.776832:0.719627:0.000000 ,:@0.792073:0.733897:0.847745:0.733897:0.847745:0.718185:0.792073:0.718185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.796031:0.733897:0.803688:0.733897:0.803688:0.718462:0.796031:0.718462:0.000000 2:@0.803615:0.727834:0.808852:0.727834:0.808852:0.718673:0.803615:0.718673:0.000000 1:@0.812761:0.733343:0.828095:0.733343:0.828095:0.719627:0.812761:0.719627:0.000000 y:@0.831960:0.733897:0.839434:0.733897:0.839434:0.718462:0.831960:0.718462:0.000000 2:@0.839353:0.727834:0.844590:0.727834:0.844590:0.718673:0.839353:0.718673:0.000000 y luego de simplificar , se deducen las siguientes igualdades: :@0.293668:0.760552:0.818987:0.760546:0.818987:0.744833:0.293668:0.744839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.451750:0.760552:0.459205:0.760552:0.459205:0.745117:0.451750:0.745117:0.000000 2:@0.459131:0.754482:0.464368:0.754482:0.464368:0.745321:0.459131:0.745321:0.000000 1:@0.468280:0.759991:0.483613:0.759991:0.483613:0.746275:0.468280:0.746275:0.000000 y:@0.487478:0.760546:0.494952:0.760546:0.494952:0.745110:0.487478:0.745110:0.000000 2:@0.494870:0.754482:0.500107:0.754482:0.500107:0.745321:0.494870:0.745321:0.000000 1:@0.504018:0.759991:0.519351:0.759991:0.519351:0.746275:0.504018:0.746275:0.000000 c:@0.523217:0.760546:0.530874:0.760546:0.530874:0.745110:0.523217:0.745110:0.000000 2:@0.530792:0.754482:0.536029:0.754482:0.536029:0.745321:0.530792:0.745321:0.000000 2 4 4 ( ) 2:@0.479786:0.787200:0.722564:0.787194:0.722564:0.771481:0.479786:0.771488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cx:@0.488695:0.787200:0.503734:0.787200:0.503734:0.771765:0.488695:0.771765:0.000000:0.000000 5:@0.507636:0.786646:0.522969:0.786646:0.522969:0.772930:0.507636:0.772930:0.000000 a:@0.535726:0.787200:0.544984:0.787200:0.544984:0.771765:0.535726:0.771765:0.000000 2:@0.544909:0.781130:0.550146:0.781130:0.550146:0.771970:0.544909:0.771970:0.000000 2:@0.554058:0.786639:0.569391:0.786639:0.569391:0.772924:0.554058:0.772924:0.000000 a x:@0.582147:0.787194:0.614028:0.787194:0.614028:0.771759:0.582147:0.771759:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.617912:0.786639:0.633246:0.786639:0.633246:0.772924:0.617912:0.772924:0.000000 c:@0.637111:0.787194:0.644768:0.787194:0.644768:0.771759:0.637111:0.771759:0.000000 2:@0.649496:0.781130:0.654733:0.781130:0.654733:0.771970:0.649496:0.771970:0.000000 1:@0.658644:0.786639:0.673977:0.786639:0.673977:0.772924:0.658644:0.772924:0.000000 y:@0.677843:0.787194:0.685316:0.787194:0.685316:0.771759:0.677843:0.771759:0.000000 2:@0.685234:0.781130:0.690471:0.781130:0.690471:0.771970:0.685234:0.771970:0.000000 2:@0.694383:0.786639:0.709716:0.786639:0.709716:0.772924:0.694383:0.772924:0.000000 cx,:@0.722472:0.787194:0.740769:0.787194:0.740769:0.771759:0.722472:0.771759:0.000000:0.000000:0.000000 4:@0.492087:0.813849:0.501070:0.813849:0.501070:0.798136:0.492087:0.798136:0.000000 cx :@0.500996:0.813849:0.519274:0.813849:0.519274:0.798413:0.500996:0.798413:0.000000:0.000000:0.000000 2:@0.519219:0.813294:0.534553:0.813294:0.534553:0.799578:0.519219:0.799578:0.000000 4 4 ( ) :@0.534460:0.813849:0.725237:0.813842:0.725237:0.798130:0.534460:0.798136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.547309:0.813849:0.556568:0.813849:0.556568:0.798413:0.547309:0.798413:0.000000 2:@0.556499:0.807779:0.561736:0.807779:0.561736:0.798618:0.556499:0.798618:0.000000 5 2:@0.565646:0.813288:0.600178:0.813288:0.600178:0.799572:0.565646:0.799572:0.000000:0.000000:0.000000 a x:@0.612934:0.813842:0.644815:0.813842:0.644815:0.798407:0.612934:0.798407:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.648699:0.813288:0.664032:0.813288:0.664032:0.799572:0.648699:0.799572:0.000000 c:@0.667898:0.813842:0.675555:0.813842:0.675555:0.798407:0.667898:0.798407:0.000000 2:@0.680276:0.807779:0.685513:0.807779:0.685513:0.798618:0.680276:0.798618:0.000000 1:@0.689424:0.813288:0.704758:0.813288:0.704758:0.799572:0.689424:0.799572:0.000000 y ,:@0.708623:0.813842:0.728495:0.813842:0.728495:0.798407:0.708623:0.798407:0.000000:0.000000:0.000000 2:@0.716016:0.807779:0.721253:0.807779:0.721253:0.798618:0.716016:0.798618:0.000000 a:@0.508675:0.849775:0.517934:0.849775:0.517934:0.834340:0.508675:0.834340:0.000000 :@0.517860:0.849775:0.541090:0.849775:0.541090:0.834062:0.517860:0.834062:0.000000:0.000000:0.000000 2:@0.521818:0.849220:0.537151:0.849220:0.537151:0.835505:0.521818:0.835505:0.000000 cx :@0.543122:0.840603:0.562751:0.840603:0.562751:0.826571:0.543122:0.826571:0.000000:0.000000:0.000000:0.000000 a:@0.547222:0.855732:0.555639:0.855732:0.555639:0.841700:0.547222:0.841700:0.000000 ( ) :@0.561792:0.849776:0.708653:0.849776:0.708653:0.834064:0.561792:0.834064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.565749:0.849221:0.600281:0.849221:0.600281:0.835506:0.565749:0.835506:0.000000:0.000000:0.000000 x:@0.620787:0.849776:0.628242:0.849776:0.628242:0.834341:0.620787:0.834341:0.000000 2:@0.632126:0.849221:0.647459:0.849221:0.647459:0.835506:0.632126:0.835506:0.000000 c:@0.651325:0.849776:0.658982:0.849776:0.658982:0.834341:0.651325:0.834341:0.000000 2:@0.663693:0.843712:0.668930:0.843712:0.668930:0.834552:0.663693:0.834552:0.000000 1:@0.672841:0.849221:0.688174:0.849221:0.688174:0.835506:0.672841:0.835506:0.000000 y .:@0.692040:0.849776:0.711911:0.849776:0.711911:0.834341:0.692040:0.834341:0.000000:0.000000:0.000000 2:@0.699433:0.843712:0.704670:0.843712:0.704670:0.834552:0.699433:0.834552:0.000000 Nuevamente, elevamos al cuadrado en ambos miembros de esta última igualdad::@0.293662:0.876431:0.886451:0.876431:0.886451:0.860718:0.293662:0.860718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cx:@0.557148:0.897791:0.572261:0.897791:0.572261:0.882355:0.557148:0.882355:0.000000:0.000000 a:@0.558750:0.910161:0.568009:0.910161:0.568009:0.894726:0.558750:0.894726:0.000000 (:@0.515682:0.913759:0.520560:0.913759:0.520560:0.880843:0.515682:0.880843:0.000000 ):@0.575376:0.913759:0.580254:0.913759:0.580254:0.880843:0.575376:0.880843:0.000000 a :@0.520459:0.905938:0.534174:0.905938:0.534174:0.889100:0.520459:0.889100:0.000000:0.000000 2:@0.534174:0.905333:0.550901:0.905333:0.550901:0.890371:0.534174:0.890371:0.000000 :@0.579732:0.899839:0.585475:0.899839:0.585475:0.882698:0.579732:0.882698:0.000000 ( ) ,:@0.585802:0.905500:0.704741:0.905500:0.704741:0.889788:0.585802:0.889788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.593702:0.904945:0.609035:0.904945:0.609035:0.891230:0.593702:0.891230:0.000000 x:@0.617686:0.905500:0.625141:0.905500:0.625141:0.890065:0.617686:0.890065:0.000000 2:@0.629025:0.904945:0.644358:0.904945:0.644358:0.891230:0.629025:0.891230:0.000000 c:@0.648224:0.905500:0.655881:0.905500:0.655881:0.890065:0.648224:0.890065:0.000000 2:@0.660609:0.899436:0.665846:0.899436:0.665846:0.890276:0.660609:0.890276:0.000000 1:@0.669757:0.904945:0.685090:0.904945:0.685090:0.891230:0.669757:0.891230:0.000000 y:@0.688956:0.905500:0.696429:0.905500:0.696429:0.890065:0.688956:0.890065:0.000000 2:@0.696349:0.899436:0.701586:0.899436:0.701586:0.890276:0.696349:0.890276:0.000000 a:@0.473859:0.934110:0.483118:0.934110:0.483118:0.918675:0.473859:0.918675:0.000000 2:@0.483051:0.928051:0.488288:0.928051:0.488288:0.918891:0.483051:0.918891:0.000000 2 :@0.488240:0.934115:0.558500:0.934115:0.558500:0.918402:0.488240:0.918402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.492197:0.933560:0.507531:0.933560:0.507531:0.919845:0.492197:0.919845:0.000000 cx:@0.520287:0.934115:0.535326:0.934115:0.535326:0.918680:0.520287:0.918680:0.000000:0.000000 1:@0.539228:0.933560:0.554561:0.933560:0.554561:0.919845:0.539228:0.919845:0.000000 c x:@0.560724:0.929291:0.581580:0.929291:0.581580:0.913856:0.560724:0.913856:0.000000:0.000000:0.000000  :@0.568382:0.929606:0.587323:0.929606:0.587323:0.912465:0.568382:0.912465:0.000000:0.000000:0.000000 a:@0.564593:0.944117:0.573852:0.944117:0.573852:0.928682:0.564593:0.928682:0.000000 :@0.573852:0.944432:0.579595:0.944432:0.579595:0.927291:0.573852:0.927291:0.000000 2 ,:@0.589105:0.934115:0.746715:0.934115:0.746715:0.918402:0.589105:0.918402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.593056:0.933560:0.608389:0.933560:0.608389:0.919845:0.593056:0.919845:0.000000 x:@0.612255:0.934115:0.619709:0.934115:0.619709:0.918680:0.612255:0.918680:0.000000 2:@0.619636:0.928051:0.624873:0.928051:0.624873:0.918891:0.619636:0.918891:0.000000 2:@0.628784:0.933560:0.644118:0.933560:0.644118:0.919845:0.628784:0.919845:0.000000 cx:@0.656874:0.934115:0.671912:0.934115:0.671912:0.918680:0.656874:0.918680:0.000000:0.000000 1:@0.675815:0.933560:0.691148:0.933560:0.691148:0.919845:0.675815:0.919845:0.000000 c:@0.695014:0.934115:0.702671:0.934115:0.702671:0.918680:0.695014:0.918680:0.000000 2:@0.702582:0.928051:0.707819:0.928051:0.707819:0.918891:0.702582:0.918891:0.000000 1:@0.711729:0.933560:0.727062:0.933560:0.727062:0.919845:0.711729:0.919845:0.000000 y:@0.730928:0.934115:0.738401:0.934115:0.738401:0.918680:0.730928:0.918680:0.000000 2:@0.738321:0.928051:0.743558:0.928051:0.743558:0.918891:0.738321:0.918891:0.000000 Tema 5. Ecuación cartesiana de la elipse:@0.073089:0.098522:0.661381:0.098522:0.661381:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Además de la circunferencia, ¿qué otras curvas reconoces?:@0.310262:0.180793:0.733754:0.180793:0.733754:0.165081:0.310262:0.165081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aprende este sinónimo::@0.082576:0.289873:0.239710:0.289873:0.239710:0.275589:0.082576:0.275589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A la ecuación cartesiana :@0.082576:0.312149:0.245031:0.312149:0.245031:0.297865:0.082576:0.297865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de la elipse:@0.082576:0.327278:0.156288:0.327278:0.156288:0.312994:0.082576:0.312994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.082576:0.349555:0.089353:0.349555:0.089353:0.335523:0.082576:0.335523:0.000000 :@0.084266:0.350047:0.089838:0.350047:0.089838:0.336255:0.084266:0.336255:0.000000 ( , ) tal que:@0.089754:0.349555:0.226403:0.349554:0.226403:0.335270:0.089754:0.335271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.093352:0.349051:0.107292:0.349051:0.107292:0.336582:0.093352:0.336582:0.000000 x y:@0.115156:0.349555:0.135086:0.349555:0.135086:0.335523:0.115156:0.335523:0.000000:0.000000:0.000000 [:@0.142993:0.349428:0.156933:0.349428:0.156933:0.336657:0.142993:0.336657:0.000000 R:@0.160440:0.348773:0.172522:0.348773:0.172522:0.337048:0.160440:0.337048:0.000000 2:@0.172438:0.344042:0.177199:0.344042:0.177199:0.335714:0.172438:0.335714:0.000000 x:@0.124527:0.369310:0.131643:0.369310:0.131643:0.354576:0.124527:0.354576:0.000000 a:@0.123666:0.384269:0.132504:0.384269:0.132504:0.369535:0.123666:0.369535:0.000000 2:@0.139630:0.364007:0.144629:0.364007:0.144629:0.355262:0.139630:0.355262:0.000000 :@0.144242:0.374773:0.164691:0.374773:0.164691:0.360489:0.144242:0.360489:0.000000:0.000000:0.000000 1:@0.147505:0.374269:0.161444:0.374269:0.161444:0.361800:0.147505:0.361800:0.000000 y:@0.170817:0.369310:0.177950:0.369310:0.177950:0.354576:0.170817:0.354576:0.000000 b:@0.169956:0.384269:0.178794:0.384269:0.178794:0.369535:0.169956:0.369535:0.000000 2:@0.184995:0.364007:0.189994:0.364007:0.189994:0.355262:0.184995:0.355262:0.000000 1.:@0.189607:0.374773:0.220331:0.374773:0.220331:0.360489:0.189607:0.360489:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.192870:0.374269:0.206810:0.374269:0.206810:0.361800:0.192870:0.361800:0.000000 se la conoce como :@0.082577:0.397050:0.210458:0.397050:0.210458:0.382766:0.082577:0.382766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ecuación canónica:@0.082577:0.412179:0.210909:0.412179:0.210909:0.397025:0.082577:0.397025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.210776:0.412179:0.213687:0.412179:0.213687:0.397895:0.210776:0.397895:0.000000 Aprende la siguiente :@0.082577:0.434457:0.223011:0.434457:0.223011:0.420172:0.082577:0.420172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 simbología matemática::@0.082577:0.449585:0.241352:0.449585:0.241352:0.435301:0.082577:0.435301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A la elipse de centro y :@0.082577:0.472216:0.241618:0.472218:0.241618:0.457934:0.082577:0.457932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de eje transverso al eje :@0.082576:0.487347:0.246049:0.487347:0.246049:0.473063:0.082576:0.473063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.235607:0.487347:0.242384:0.487347:0.242384:0.473315:0.235607:0.473315:0.000000 se la denota con ( , , ).:@0.082576:0.502829:0.250624:0.502833:0.250624:0.488549:0.082576:0.488545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 E:@0.194676:0.502829:0.202056:0.502829:0.202056:0.488797:0.194676:0.488797:0.000000 a b:@0.220219:0.502833:0.243412:0.502833:0.243412:0.488801:0.220219:0.488801:0.000000:0.000000:0.000000 ≠ ( , ) ( , , ) :@0.090999:0.525467:0.211068:0.525467:0.211068:0.511183:0.090999:0.511183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.110769:0.525467:0.130699:0.525467:0.130699:0.511435:0.110769:0.511435:0.000000:0.000000:0.000000 Ó:@0.136908:0.525341:0.150847:0.525341:0.150847:0.512570:0.136908:0.512570:0.000000 E:@0.154361:0.525467:0.161741:0.525467:0.161741:0.511435:0.154361:0.511435:0.000000 a b:@0.179910:0.525467:0.203103:0.525467:0.203103:0.511435:0.179910:0.511435:0.000000:0.000000:0.000000 ⇔:@0.210985:0.525089:0.228421:0.525089:0.228421:0.509645:0.210985:0.509645:0.000000 x:@0.124527:0.545223:0.131643:0.545223:0.131643:0.530489:0.124527:0.530489:0.000000 a:@0.123666:0.560182:0.132504:0.560182:0.132504:0.545448:0.123666:0.545448:0.000000 2:@0.139630:0.539920:0.144629:0.539920:0.144629:0.531175:0.139630:0.531175:0.000000 :@0.144242:0.550686:0.164691:0.550686:0.164691:0.536402:0.144242:0.536402:0.000000:0.000000:0.000000 1:@0.147505:0.550182:0.161444:0.550182:0.161444:0.537713:0.147505:0.537713:0.000000 y:@0.170817:0.545223:0.177950:0.545223:0.177950:0.530489:0.170817:0.530489:0.000000 b:@0.169956:0.560182:0.178794:0.560182:0.178794:0.545448:0.169956:0.545448:0.000000 2:@0.184995:0.539920:0.189994:0.539920:0.189994:0.531175:0.184995:0.531175:0.000000 1.:@0.189607:0.550686:0.220331:0.550686:0.220331:0.536402:0.189607:0.536402:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.192870:0.550182:0.206810:0.550182:0.206810:0.537713:0.192870:0.537713:0.000000 Competencia :@0.078581:0.252516:0.187141:0.252516:0.187141:0.235569:0.078581:0.235569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.078581:0.269158:0.176057:0.269158:0.176057:0.252211:0.078581:0.252211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000