91:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
 :@0.108231:0.103512:0.112373:0.103512:0.112373:0.087014:0.108231:0.087014:0.000000
 –   –   =   –  ,:@0.247519:0.103512:0.376842:0.103512:0.376842:0.087014:0.247519:0.087014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.266303:0.103627:0.273778:0.103627:0.273778:0.087159:0.266303:0.087159:0.000000
2:@0.273767:0.097159:0.278720:0.097159:0.278720:0.087541:0.273767:0.087541:0.000000
y:@0.297504:0.103627:0.305191:0.103627:0.305191:0.087159:0.297504:0.087159:0.000000
2:@0.305191:0.097159:0.310144:0.097159:0.310144:0.087541:0.305191:0.087541:0.000000
c:@0.329235:0.103627:0.336421:0.103627:0.336421:0.087159:0.329235:0.087159:0.000000
2:@0.336421:0.097159:0.341374:0.097159:0.341374:0.087541:0.336421:0.087541:0.000000
a:@0.360158:0.103627:0.369136:0.103627:0.369136:0.087159:0.360158:0.087159:0.000000
2:@0.369135:0.097159:0.374088:0.097159:0.374088:0.087541:0.369135:0.087541:0.000000
 :@0.108227:0.136897:0.112369:0.136897:0.112369:0.120399:0.108227:0.120399:0.000000
 –                   –   = –(  –  ).:@0.181242:0.136897:0.399247:0.136901:0.399247:0.120403:0.181242:0.120399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.266298:0.137012:0.273773:0.137012:0.273773:0.120544:0.266298:0.120544:0.000000
2:@0.273767:0.130548:0.278720:0.130548:0.278720:0.120929:0.273767:0.120929:0.000000
y:@0.297504:0.137016:0.305191:0.137016:0.305191:0.120548:0.297504:0.120548:0.000000
2:@0.305191:0.130548:0.310144:0.130548:0.310144:0.120929:0.305191:0.120929:0.000000
a:@0.345687:0.137016:0.354665:0.137016:0.354665:0.120548:0.345687:0.120548:0.000000
2:@0.354664:0.130548:0.359617:0.130548:0.359617:0.120929:0.354664:0.120929:0.000000
c:@0.378401:0.137016:0.385587:0.137016:0.385587:0.120548:0.378401:0.120548:0.000000
2:@0.385587:0.130548:0.390541:0.130548:0.390541:0.120929:0.385587:0.120929:0.000000
Puesto que   >  , entonces,   –   > 0. Ponemos   =   –   y reem-:@0.108226:0.171602:0.595756:0.171602:0.595756:0.155104:0.108226:0.155104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.192049:0.171718:0.201027:0.171718:0.201027:0.155249:0.192049:0.155249:0.000000
c:@0.220543:0.171718:0.227729:0.171718:0.227729:0.155249:0.220543:0.155249:0.000000
a:@0.306909:0.171718:0.315887:0.171718:0.315887:0.155249:0.306909:0.155249:0.000000
2:@0.315916:0.165249:0.320869:0.165249:0.320869:0.155631:0.315916:0.155631:0.000000
c:@0.340075:0.171718:0.347261:0.171718:0.347261:0.155249:0.340075:0.155249:0.000000
2:@0.347271:0.165249:0.352225:0.165249:0.352225:0.155631:0.347271:0.155631:0.000000
b:@0.458182:0.171718:0.467449:0.171718:0.467449:0.155249:0.458182:0.155249:0.000000
2:@0.467466:0.165249:0.472420:0.165249:0.472420:0.155631:0.467466:0.155631:0.000000
a:@0.491934:0.171718:0.500912:0.171718:0.500912:0.155249:0.491934:0.155249:0.000000
2:@0.500921:0.165249:0.505874:0.165249:0.505874:0.155631:0.500921:0.155631:0.000000
c:@0.525080:0.171718:0.532266:0.171718:0.532266:0.155249:0.525080:0.155249:0.000000
2:@0.532276:0.165249:0.537230:0.165249:0.537230:0.155631:0.532276:0.155631:0.000000
plazamos en la última ecuación::@0.108230:0.188953:0.334460:0.188953:0.334460:0.172455:0.108230:0.172455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–        –   = – , de donde        +       = 1,:@0.108230:0.223654:0.406171:0.223654:0.406171:0.207157:0.108230:0.207157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.143581:0.223770:0.151056:0.223770:0.151056:0.207301:0.143581:0.207301:0.000000
2:@0.151057:0.217301:0.156010:0.217301:0.156010:0.207683:0.151057:0.207683:0.000000
y:@0.174793:0.223770:0.182480:0.223770:0.182480:0.207301:0.174793:0.207301:0.000000
2:@0.182480:0.217301:0.187433:0.217301:0.187433:0.207683:0.182480:0.207683:0.000000
b:@0.217025:0.223770:0.226291:0.223770:0.226291:0.207301:0.217025:0.207301:0.000000
2:@0.226291:0.217301:0.231244:0.217301:0.231244:0.207683:0.226291:0.207683:0.000000
o también,         +        = 1.:@0.108236:0.258356:0.291947:0.258356:0.291947:0.241858:0.108236:0.241858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así,   = ( ,  )    (0,  ,  )            +        = 1.:@0.108236:0.293057:0.408638:0.293057:0.408638:0.276560:0.108236:0.276560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.137345:0.293173:0.144820:0.293173:0.144820:0.276704:0.137345:0.276704:0.000000
:@0.139041:0.293549:0.145456:0.293549:0.145456:0.277731:0.139041:0.277731:0.000000
x y:@0.168574:0.293173:0.190633:0.293173:0.190633:0.276704:0.168574:0.276704:0.000000:0.000000:0.000000
:@0.198795:0.292539:0.213447:0.292539:0.213447:0.279165:0.198795:0.279165:0.000000
E:@0.217589:0.293173:0.225545:0.293173:0.225545:0.276704:0.217589:0.276704:0.000000
:@0.232770:0.291033:0.239185:0.291033:0.239185:0.275215:0.232770:0.275215:0.000000
a b:@0.245985:0.293173:0.271127:0.293173:0.271127:0.276704:0.245985:0.276704:0.000000:0.000000:0.000000
 :@0.108235:0.310408:0.112377:0.310408:0.112377:0.293910:0.108235:0.293910:0.000000
A esta última ecuación se la conoce como ecuación cartesiana de la :@0.108235:0.327759:0.599880:0.327759:0.599880:0.311261:0.108235:0.311261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elipse de centro 0 y eje transverso al eje  . :@0.108235:0.345110:0.405765:0.345110:0.405765:0.328612:0.108235:0.328612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.225618:0.343085:0.232033:0.343085:0.232033:0.327267:0.225618:0.327267:0.000000
X:@0.388908:0.345225:0.398868:0.345225:0.398868:0.328757:0.388908:0.328757:0.000000
El  conjunto  (0,  ,  ) puede ser expresado así: :@0.108235:0.379811:0.437744:0.379811:0.437744:0.363313:0.108235:0.363313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.198107:0.379927:0.206064:0.379927:0.206064:0.363458:0.198107:0.363458:0.000000
:@0.213288:0.377787:0.219703:0.377787:0.219703:0.361969:0.213288:0.361969:0.000000
a b:@0.226504:0.379927:0.251645:0.379927:0.251645:0.363458:0.226504:0.363458:0.000000:0.000000:0.000000
E:@0.108235:0.414628:0.116191:0.414628:0.116191:0.398160:0.108235:0.398160:0.000000
(0,  ,  ) =     = ( ,  )     |        +         = 1  .:@0.116191:0.414513:0.422313:0.414513:0.422313:0.398015:0.116191:0.398015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.123416:0.412488:0.129831:0.412488:0.129831:0.396670:0.123416:0.396670:0.000000
a b:@0.136632:0.414628:0.161773:0.414628:0.161773:0.398160:0.136632:0.398160:0.000000:0.000000:0.000000
x:@0.195102:0.414628:0.202577:0.414628:0.202577:0.398160:0.195102:0.398160:0.000000
:@0.196797:0.415004:0.203212:0.415004:0.203212:0.399186:0.196797:0.399186:0.000000
x y:@0.228257:0.414628:0.250316:0.414628:0.250316:0.398160:0.228257:0.398160:0.000000:0.000000:0.000000
:@0.260403:0.413994:0.275056:0.413994:0.275056:0.400621:0.260403:0.400621:0.000000
:@0.279198:0.413426:0.292503:0.413426:0.292503:0.400564:0.279198:0.400564:0.000000
2:@0.292501:0.408160:0.297454:0.408160:0.297454:0.398542:0.292501:0.398542:0.000000
Dados  ,      , las coordenadas de los focos   y   se obtienen de la :@0.108231:0.456342:0.599922:0.456342:0.599922:0.439844:0.108231:0.439845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.157743:0.456458:0.182403:0.456458:0.182403:0.439989:0.157743:0.439989:0.000000:0.000000:0.000000
:@0.186051:0.455823:0.200704:0.455823:0.200704:0.442450:0.186051:0.442450:0.000000
:@0.204362:0.455255:0.217666:0.455255:0.217666:0.442393:0.204362:0.442393:0.000000
+:@0.217666:0.449990:0.223967:0.449990:0.223967:0.440372:0.217666:0.440372:0.000000
F:@0.433900:0.456457:0.441452:0.456457:0.441452:0.439989:0.433900:0.439989:0.000000
:@0.436039:0.454318:0.442454:0.454318:0.442454:0.438499:0.436039:0.438499:0.000000
1:@0.440909:0.459620:0.445862:0.459620:0.445862:0.450002:0.440909:0.450002:0.000000
F:@0.461005:0.456457:0.468557:0.456457:0.468557:0.439989:0.461005:0.439989:0.000000
:@0.463163:0.454318:0.469578:0.454318:0.469578:0.438499:0.463163:0.438499:0.000000
2:@0.468029:0.459620:0.472982:0.459620:0.472982:0.450002:0.468029:0.450002:0.000000
ecuación   =   –  . Nota que   >  .:@0.108234:0.473693:0.373649:0.473693:0.373649:0.457195:0.108234:0.457195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.176703:0.473808:0.183889:0.473808:0.183889:0.457339:0.176703:0.457339:0.000000
2:@0.183885:0.467341:0.188838:0.467341:0.188838:0.457723:0.183885:0.457723:0.000000
a:@0.207929:0.473808:0.216907:0.473808:0.216907:0.457339:0.207929:0.457339:0.000000
2:@0.216906:0.467341:0.221859:0.467341:0.221859:0.457723:0.216906:0.457723:0.000000
b:@0.240643:0.473808:0.249910:0.473808:0.249910:0.457339:0.240643:0.457339:0.000000
2:@0.249910:0.467341:0.254863:0.467341:0.254863:0.457723:0.249910:0.457723:0.000000
a b:@0.333558:0.473808:0.370894:0.473808:0.370894:0.457339:0.333558:0.457339:0.000000:0.000000:0.000000
Definición:@0.108234:0.508857:0.188318:0.508857:0.188318:0.491911:0.108234:0.491911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. La excentricidad de la elipse se designa con   y se define :@0.188320:0.508394:0.599897:0.508394:0.599897:0.491896:0.188320:0.491896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.507736:0.508510:0.515153:0.508510:0.515153:0.492041:0.507736:0.492041:0.000000
como::@0.108234:0.525745:0.152775:0.525745:0.152775:0.509247:0.108234:0.509247:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.108234:0.550340:0.115651:0.550340:0.115651:0.533871:0.108234:0.533871:0.000000
 =      =                 =     1 –        .:@0.115651:0.550224:0.327222:0.550224:0.327222:0.533726:0.115651:0.533726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108234:0.567575:0.112376:0.567575:0.112376:0.551077:0.108234:0.551077:0.000000
Como   >   se sigue que   =      < 1; es decir que la elipse es una:@0.108234:0.584925:0.561620:0.584925:0.561620:0.568428:0.108234:0.568428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a c,:@0.157380:0.585041:0.195640:0.585041:0.195640:0.568572:0.157380:0.568572:0.000000:0.000000:0.000000:0.000000
e:@0.289636:0.585041:0.297053:0.585041:0.297053:0.568572:0.289636:0.568572:0.000000
sección cónica que tiene excentricidad menor que 1. En la Figura 2.30. :@0.108234:0.609404:0.599926:0.609404:0.599926:0.592907:0.108234:0.592907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se muestran el conjunto  (0,  ,  ), los focos   y  , así y un punto   = :@0.108234:0.626755:0.599919:0.626755:0.599919:0.610257:0.108234:0.610257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.284530:0.626871:0.292487:0.626871:0.292487:0.610402:0.284530:0.610402:0.000000
:@0.299692:0.624731:0.306107:0.624731:0.306107:0.608913:0.299692:0.608913:0.000000
a b:@0.312966:0.626871:0.338165:0.626871:0.338165:0.610402:0.312966:0.610402:0.000000:0.000000:0.000000
F:@0.417133:0.626871:0.424685:0.626871:0.424685:0.610402:0.417133:0.610402:0.000000
:@0.419271:0.624731:0.425687:0.624731:0.425687:0.608913:0.419271:0.608913:0.000000
1:@0.424131:0.630032:0.429085:0.630032:0.429085:0.620414:0.424131:0.620414:0.000000
F:@0.445305:0.626871:0.452857:0.626871:0.452857:0.610402:0.445305:0.610402:0.000000
:@0.447443:0.624731:0.453858:0.624731:0.453858:0.608913:0.447443:0.608913:0.000000
2:@0.452327:0.630032:0.457280:0.630032:0.457280:0.620414:0.452327:0.620414:0.000000
X:@0.572293:0.626871:0.582253:0.626871:0.582253:0.610402:0.572293:0.610402:0.000000
:@0.575895:0.624731:0.582311:0.624731:0.582311:0.608913:0.575895:0.608913:0.000000
(x,  ) de la elipse.:@0.108231:0.644106:0.227828:0.644106:0.227828:0.627608:0.108231:0.627608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.129558:0.644222:0.137245:0.644222:0.137245:0.627753:0.129558:0.627753:0.000000
Con la ecuación de la elipse podemos determinar las intersecciones :@0.108231:0.678807:0.599896:0.678807:0.599896:0.662310:0.108231:0.662310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la elipse con los ejes coordenados, del siguiente modo::@0.108231:0.696158:0.515223:0.696158:0.515223:0.679660:0.108231:0.679660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si   = 0, obtenemos          = 1, de donde   = ± ; cuando   = 0,:@0.108231:0.720637:0.540426:0.720637:0.540426:0.704139:0.108231:0.704139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.122430:0.720753:0.129905:0.720753:0.129905:0.704284:0.122430:0.704284:0.000000
y:@0.390446:0.720753:0.398133:0.720753:0.398133:0.704284:0.390446:0.704284:0.000000
b:@0.428033:0.720753:0.437299:0.720753:0.437299:0.704284:0.428033:0.704284:0.000000
y:@0.502397:0.720753:0.510084:0.720753:0.510084:0.704284:0.502397:0.704284:0.000000
obtenemos          = 1, con lo que   =  ± . Así, la intersección:@0.108231:0.745116:0.529578:0.745116:0.529578:0.728618:0.108231:0.728618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.341089:0.745232:0.348563:0.745232:0.348563:0.728763:0.341089:0.728763:0.000000
a:@0.382605:0.745232:0.391583:0.745232:0.391583:0.728763:0.382605:0.728763:0.000000
de la elipse con el eje   es conformada por los puntos   = (– , 0) y :@0.108231:0.769595:0.587989:0.769595:0.587989:0.753097:0.108231:0.753098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.260926:0.769711:0.270886:0.769711:0.270886:0.753242:0.260926:0.753242:0.000000
v:@0.492646:0.769711:0.500430:0.769711:0.500430:0.753242:0.492646:0.753242:0.000000
:@0.494654:0.770087:0.501069:0.770087:0.501069:0.754269:0.494654:0.754269:0.000000
1:@0.501062:0.772871:0.506015:0.772871:0.506015:0.763253:0.501062:0.763253:0.000000
a:@0.541560:0.769710:0.550537:0.769710:0.550537:0.753241:0.541560:0.753241:0.000000
v:@0.108226:0.787061:0.116010:0.787061:0.116010:0.770592:0.108226:0.770592:0.000000
:@0.110230:0.787437:0.116645:0.787437:0.116645:0.771619:0.110230:0.771619:0.000000
2:@0.116650:0.790222:0.121603:0.790222:0.121603:0.780604:0.116650:0.780604:0.000000
 = ( , 0), que se conocen como vértices de la elipse. La intersección :@0.121603:0.786945:0.599260:0.786945:0.599260:0.770448:0.121603:0.770448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146648:0.787061:0.155626:0.787061:0.155626:0.770592:0.146648:0.770592:0.000000
de la elipse con el eje   es conformada por los puntos   = (0, – ) y :@0.108233:0.804296:0.589395:0.804296:0.589395:0.787798:0.108233:0.787798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.260928:0.804412:0.271061:0.804412:0.271061:0.787943:0.260928:0.787943:0.000000
u:@0.492822:0.804412:0.502030:0.804412:0.502030:0.787943:0.492822:0.787943:0.000000
:@0.495773:0.804788:0.502188:0.804788:0.502188:0.788970:0.495773:0.788970:0.000000
1:@0.502179:0.807573:0.507132:0.807573:0.507132:0.797955:0.502179:0.797955:0.000000
b:@0.558070:0.804412:0.567337:0.804412:0.567337:0.787943:0.558070:0.787943:0.000000
u:@0.108226:0.821762:0.117435:0.821762:0.117435:0.805294:0.108226:0.805294:0.000000
:@0.111174:0.822138:0.117589:0.822138:0.117589:0.806320:0.111174:0.806320:0.000000
2:@0.117594:0.824923:0.122547:0.824923:0.122547:0.815305:0.117594:0.815305:0.000000
 = (0,  ). La distancia  ( ,  ) = ||  –  || = 2  se llama eje ma-:@0.122546:0.821647:0.565380:0.821647:0.565380:0.805149:0.122546:0.805149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.162984:0.821762:0.172251:0.821762:0.172251:0.805294:0.162984:0.805294:0.000000
d v v:@0.272218:0.821762:0.315392:0.821762:0.315392:0.805294:0.272218:0.805294:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.289345:0.822138:0.316027:0.822138:0.316027:0.806320:0.289345:0.806320:0.000000:0.000000:0.000000
1:@0.295758:0.824923:0.300711:0.824923:0.300711:0.815305:0.295758:0.815305:0.000000
2:@0.316026:0.824923:0.320980:0.824923:0.320980:0.815305:0.316026:0.815305:0.000000
v:@0.356041:0.821762:0.363824:0.821762:0.363824:0.805294:0.356041:0.805294:0.000000
:@0.358045:0.822138:0.364460:0.822138:0.364460:0.806320:0.358045:0.806320:0.000000
1:@0.364459:0.824923:0.369412:0.824923:0.369412:0.815305:0.364459:0.815305:0.000000
v:@0.388197:0.821762:0.395980:0.821762:0.395980:0.805294:0.388197:0.805294:0.000000
:@0.390200:0.822138:0.396616:0.822138:0.396616:0.806320:0.390200:0.806320:0.000000
2:@0.396616:0.824923:0.401569:0.824923:0.401569:0.815305:0.396616:0.815305:0.000000
a:@0.439173:0.821762:0.448151:0.821762:0.448151:0.805294:0.439173:0.805294:0.000000
yor de la elipse; y la distancia  ( ,  ) = ||  –  || = 2  se llama eje :@0.108235:0.838998:0.583620:0.838998:0.583620:0.822500:0.108235:0.822500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d u u:@0.314585:0.839113:0.360122:0.839113:0.360122:0.822644:0.314585:0.822644:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.332656:0.839489:0.360276:0.839489:0.360276:0.823671:0.332656:0.823671:0.000000:0.000000:0.000000
1:@0.339063:0.842274:0.344016:0.842274:0.344016:0.832656:0.339063:0.832656:0.000000
2:@0.360276:0.842274:0.365229:0.842274:0.365229:0.832656:0.360276:0.832656:0.000000
u:@0.400291:0.839113:0.409500:0.839113:0.409500:0.822644:0.400291:0.822644:0.000000
:@0.403239:0.839489:0.409654:0.839489:0.409654:0.823671:0.403239:0.823671:0.000000
1:@0.409654:0.842274:0.414607:0.842274:0.414607:0.832656:0.409654:0.832656:0.000000
u:@0.433390:0.839113:0.442598:0.839113:0.442598:0.822644:0.433390:0.822644:0.000000
:@0.436337:0.839489:0.442752:0.839489:0.442752:0.823671:0.436337:0.823671:0.000000
2:@0.442753:0.842274:0.447706:0.842274:0.447706:0.832656:0.442753:0.832656:0.000000
b:@0.485311:0.839113:0.494578:0.839113:0.494578:0.822644:0.485311:0.822644:0.000000
menor de la elipse.:@0.108232:0.856348:0.240719:0.856348:0.240719:0.839851:0.108232:0.839851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En los ejercicios se propone obtener la ecuación cartesiana de la elipse :@0.108232:0.891050:0.599991:0.891050:0.599991:0.874552:0.108232:0.874552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.108232:0.908516:0.116189:0.908516:0.116189:0.892048:0.108232:0.892048:0.000000
(0,  ,  ), donde  ,  ,     :@0.116189:0.908401:0.285952:0.908401:0.285952:0.891903:0.116189:0.891903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.123413:0.906376:0.129829:0.906376:0.129829:0.890558:0.123413:0.890558:0.000000
a b:@0.136359:0.908516:0.161231:0.908516:0.161231:0.892048:0.136359:0.892048:0.000000:0.000000:0.000000
a b c:@0.224575:0.908516:0.263279:0.908516:0.263279:0.892048:0.224575:0.892048:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.267158:0.907882:0.281810:0.907882:0.281810:0.894509:0.267158:0.894509:0.000000
:@0.285682:0.907432:0.299591:0.907432:0.299591:0.893985:0.285682:0.893985:0.000000
+:@0.299596:0.902048:0.305897:0.902048:0.305897:0.892429:0.299596:0.892429:0.000000
, y los puntos   = (0, –c)  y   = (0, c) fijos :@0.305898:0.908401:0.599892:0.908401:0.599892:0.891903:0.305898:0.891903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.402201:0.908516:0.409753:0.908516:0.409753:0.892048:0.402201:0.892048:0.000000
:@0.404382:0.906376:0.410797:0.906376:0.410797:0.890558:0.404382:0.890558:0.000000
1:@0.409252:0.911677:0.414205:0.911677:0.414205:0.902059:0.409252:0.902059:0.000000
F:@0.497663:0.908516:0.505215:0.908516:0.505215:0.892048:0.497663:0.892048:0.000000
:@0.499840:0.906376:0.506255:0.906376:0.506255:0.890558:0.499840:0.890558:0.000000
1:@0.504719:0.911677:0.509672:0.911677:0.509672:0.902059:0.504719:0.902059:0.000000
están localizados en el eje  .:@0.108223:0.925751:0.306863:0.925751:0.306863:0.909254:0.108223:0.909254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.293975:0.925867:0.304108:0.925867:0.304108:0.909398:0.293975:0.909398:0.000000
p:@0.632081:0.842912:0.643561:0.842912:0.643561:0.832888:0.632081:0.832888:0.000000
 :@0.643561:0.843620:0.646442:0.843620:0.646442:0.832143:0.643561:0.832143:0.000000
Figura 2.30.:@0.646442:0.843620:0.700921:0.843620:0.700921:0.832143:0.646442:0.832143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.122965:0.215428:0.132232:0.215428:0.132232:0.198959:0.122965:0.198959:0.000000
2:@0.132233:0.208960:0.137186:0.208960:0.137186:0.199342:0.132233:0.199342:0.000000
a:@0.123109:0.231773:0.132087:0.231773:0.132087:0.215304:0.123109:0.215304:0.000000
2:@0.132087:0.225305:0.137040:0.225305:0.137040:0.215687:0.132087:0.215687:0.000000
x:@0.319060:0.215428:0.326535:0.215428:0.326535:0.198959:0.319060:0.198959:0.000000
2:@0.326534:0.208960:0.331487:0.208960:0.331487:0.199342:0.326534:0.199342:0.000000
a:@0.318308:0.231773:0.327286:0.231773:0.327286:0.215304:0.318308:0.215304:0.000000
2:@0.327286:0.225305:0.332239:0.225305:0.332239:0.215687:0.327286:0.215687:0.000000
y:@0.356854:0.215428:0.364541:0.215428:0.364541:0.198959:0.356854:0.198959:0.000000
2:@0.364540:0.208960:0.369493:0.208960:0.369493:0.199342:0.364540:0.199342:0.000000
b:@0.356063:0.231773:0.365330:0.231773:0.365330:0.215304:0.356063:0.215304:0.000000
2:@0.365330:0.225305:0.370284:0.225305:0.370284:0.215687:0.365330:0.215687:0.000000
x:@0.198889:0.250197:0.206364:0.250197:0.206364:0.233728:0.198889:0.233728:0.000000
a:@0.198137:0.266536:0.207115:0.266536:0.207115:0.250067:0.198137:0.250067:0.000000
x:@0.319506:0.284680:0.326981:0.284680:0.326981:0.268211:0.319506:0.268211:0.000000
a:@0.318755:0.301019:0.327732:0.301019:0.327732:0.284550:0.318755:0.284550:0.000000
y:@0.242339:0.250197:0.250026:0.250197:0.250026:0.233728:0.242339:0.233728:0.000000
b:@0.241549:0.266536:0.250816:0.266536:0.250816:0.250067:0.241549:0.250067:0.000000
y:@0.362957:0.284680:0.370643:0.284680:0.370643:0.268211:0.362957:0.268211:0.000000
b:@0.362167:0.301019:0.371433:0.301019:0.371433:0.284550:0.362167:0.284550:0.000000
2:@0.214996:0.244213:0.219949:0.244213:0.219949:0.234595:0.214996:0.234595:0.000000
2:@0.335613:0.278698:0.340566:0.278698:0.340566:0.269080:0.335613:0.269080:0.000000
2:@0.258552:0.244213:0.263505:0.244213:0.263505:0.234595:0.258552:0.234595:0.000000
2:@0.379169:0.278698:0.384122:0.278698:0.384122:0.269080:0.379169:0.269080:0.000000
x:@0.317886:0.405815:0.325361:0.405815:0.325361:0.389346:0.317886:0.389346:0.000000
a:@0.317135:0.422153:0.326112:0.422153:0.326112:0.405685:0.317135:0.405685:0.000000
c:@0.137377:0.541723:0.144563:0.541723:0.144563:0.525254:0.137377:0.525254:0.000000
a:@0.136491:0.558061:0.145469:0.558061:0.145469:0.541592:0.136491:0.541592:0.000000
c:@0.320431:0.576469:0.327617:0.576469:0.327617:0.560001:0.320431:0.560001:0.000000
a:@0.319544:0.592808:0.328522:0.592808:0.328522:0.576339:0.319544:0.576339:0.000000
  a  – b:@0.173279:0.541723:0.223082:0.541723:0.223082:0.525254:0.173279:0.525254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.190541:0.535254:0.195494:0.535254:0.195494:0.525636:0.190541:0.525636:0.000000
2:@0.223081:0.535254:0.228034:0.535254:0.228034:0.525636:0.223081:0.525636:0.000000
a:@0.196168:0.558068:0.205146:0.558068:0.205146:0.541599:0.196168:0.541599:0.000000
y:@0.363012:0.405815:0.370699:0.405815:0.370699:0.389346:0.363012:0.389346:0.000000
b:@0.362222:0.422153:0.371489:0.422153:0.371489:0.405685:0.362222:0.405685:0.000000
2:@0.333993:0.399830:0.338947:0.399830:0.338947:0.390212:0.333993:0.390212:0.000000
2:@0.379223:0.399830:0.384176:0.399830:0.384176:0.390212:0.379223:0.390212:0.000000
b:@0.299155:0.541723:0.308422:0.541723:0.308422:0.525254:0.299155:0.525254:0.000000
a:@0.299309:0.558061:0.308287:0.558061:0.308287:0.541592:0.299309:0.541592:0.000000
2:@0.316159:0.535738:0.321112:0.535738:0.321112:0.526120:0.316159:0.526120:0.000000
y:@0.260702:0.712425:0.268388:0.712425:0.268388:0.695956:0.260702:0.695956:0.000000
b:@0.259912:0.728764:0.269178:0.728764:0.269178:0.712295:0.259912:0.712295:0.000000
x:@0.205526:0.737356:0.213001:0.737356:0.213001:0.720887:0.205526:0.720887:0.000000
a:@0.204775:0.753695:0.213752:0.753695:0.213752:0.737226:0.204775:0.737226:0.000000
2:@0.276916:0.706439:0.281869:0.706439:0.281869:0.696821:0.276916:0.696821:0.000000
2:@0.221634:0.731374:0.226587:0.731374:0.226587:0.721756:0.221634:0.721756:0.000000
c x:@0.219082:0.096310:0.238696:0.096310:0.238696:0.079841:0.219082:0.079841:0.000000:0.000000:0.000000
2 2:@0.226269:0.089842:0.243649:0.089842:0.243649:0.080224:0.226269:0.080224:0.000000:0.000000:0.000000
a:@0.224401:0.112655:0.233378:0.112655:0.233378:0.096186:0.224401:0.096186:0.000000
2:@0.233378:0.106187:0.238332:0.106187:0.238332:0.096569:0.233378:0.096569:0.000000
a:@0.207370:0.129822:0.216348:0.129822:0.216348:0.113353:0.207370:0.113353:0.000000
2:@0.216348:0.123353:0.221301:0.123353:0.221301:0.113735:0.216348:0.113735:0.000000
 – :@0.221300:0.129706:0.240084:0.129706:0.240084:0.113209:0.221300:0.113209:0.000000:0.000000:0.000000
c:@0.240084:0.129822:0.247270:0.129822:0.247270:0.113353:0.240084:0.113353:0.000000
2:@0.247270:0.123353:0.252223:0.123353:0.252223:0.113735:0.247270:0.113735:0.000000
a:@0.222831:0.146167:0.231809:0.146167:0.231809:0.129698:0.222831:0.129698:0.000000
2:@0.231809:0.139698:0.236762:0.139698:0.236762:0.130080:0.231809:0.130080:0.000000
–b:@0.728211:0.820560:0.742109:0.820560:0.742109:0.809083:0.728211:0.809083:0.000000:0.000000
b:@0.737190:0.733142:0.743784:0.733142:0.743784:0.721666:0.737190:0.721666:0.000000
a:@0.826366:0.784239:0.831821:0.784239:0.831821:0.772762:0.826366:0.772762:0.000000
–a:@0.650935:0.784239:0.663694:0.784239:0.663694:0.772762:0.650935:0.772762:0.000000:0.000000
y:@0.731560:0.718529:0.738021:0.718529:0.738021:0.704901:0.731560:0.704901:0.000000
x:@0.845048:0.787472:0.851652:0.787472:0.851652:0.773844:0.845048:0.773844:0.000000
x:@0.787978:0.740494:0.794706:0.740494:0.794706:0.725672:0.787978:0.725672:0.000000
:@0.789938:0.740832:0.795711:0.740832:0.795711:0.726596:0.789938:0.726596:0.000000
F:@0.680433:0.787283:0.686343:0.787283:0.686343:0.774394:0.680433:0.774394:0.000000
:@0.682499:0.785314:0.687519:0.785314:0.687519:0.772935:0.682499:0.772935:0.000000
1:@0.686313:0.789757:0.690189:0.789757:0.690189:0.782230:0.686313:0.782230:0.000000
 = (– , 0):@0.690190:0.787192:0.739974:0.787192:0.739974:0.774281:0.690190:0.774281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.717766:0.787283:0.723389:0.787283:0.723389:0.774394:0.717766:0.774394:0.000000
F:@0.767008:0.787283:0.772918:0.787283:0.772918:0.774394:0.767008:0.774394:0.000000
:@0.769073:0.785314:0.774094:0.785314:0.774094:0.772935:0.769073:0.772935:0.000000
2:@0.772889:0.789757:0.776766:0.789757:0.776766:0.782230:0.772889:0.782230:0.000000
 = ( , 0):@0.776766:0.787192:0.818696:0.787192:0.818696:0.774281:0.776766:0.774281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.796366:0.787283:0.801990:0.787283:0.801990:0.774394:0.796366:0.774394:0.000000
Competencia :@0.684804:0.101982:0.782426:0.101982:0.782426:0.086509:0.684804:0.086509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684804:0.114550:0.768866:0.114550:0.768866:0.099077:0.684804:0.099077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En toda elipse conside-:@0.685042:0.139024:0.834502:0.139024:0.834502:0.123961:0.685042:0.123961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ramos que::@0.638498:0.154866:0.709894:0.154866:0.709894:0.139803:0.638498:0.139803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–b:@0.722371:0.287916:0.736269:0.287916:0.736269:0.276439:0.722371:0.276439:0.000000:0.000000
b:@0.731350:0.200498:0.737944:0.200498:0.737944:0.189021:0.731350:0.189021:0.000000
a:@0.820527:0.251595:0.825981:0.251595:0.825981:0.240118:0.820527:0.240118:0.000000
–a:@0.645095:0.251595:0.657854:0.251595:0.657854:0.240118:0.645095:0.240118:0.000000:0.000000
y:@0.725720:0.185885:0.732181:0.185885:0.732181:0.172257:0.725720:0.172257:0.000000
x:@0.834179:0.254828:0.840784:0.254828:0.840784:0.241199:0.834179:0.241199:0.000000
x:@0.782138:0.207849:0.788866:0.207849:0.788866:0.193028:0.782138:0.193028:0.000000
:@0.784098:0.208188:0.789872:0.208188:0.789872:0.193952:0.784098:0.193952:0.000000
F:@0.674593:0.254639:0.680503:0.254639:0.680503:0.241750:0.674593:0.241750:0.000000
:@0.676659:0.252670:0.681679:0.252670:0.681679:0.240290:0.676659:0.240290:0.000000
1:@0.680473:0.257113:0.684349:0.257113:0.684349:0.249586:0.680473:0.249586:0.000000
 = (– , 0):@0.684350:0.254548:0.734134:0.254548:0.734134:0.241637:0.684350:0.241637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.711926:0.254639:0.717550:0.254639:0.717550:0.241750:0.711926:0.241750:0.000000
F:@0.761168:0.254639:0.767078:0.254639:0.767078:0.241750:0.761168:0.241750:0.000000
:@0.763233:0.252670:0.768254:0.252670:0.768254:0.240290:0.763233:0.240290:0.000000
2:@0.767050:0.257113:0.770926:0.257113:0.770926:0.249586:0.767050:0.249586:0.000000
 = ( , 0):@0.770926:0.254548:0.812856:0.254548:0.812856:0.241637:0.770926:0.241637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.790526:0.254639:0.796150:0.254639:0.796150:0.241750:0.790526:0.241750:0.000000
X:@0.638503:0.318496:0.647597:0.318496:0.647597:0.303460:0.638503:0.303460:0.000000
:@0.641793:0.316542:0.647650:0.316542:0.647650:0.302101:0.641793:0.302101:0.000000
 = (x,  ) es un punto de la :@0.646243:0.318391:0.816316:0.318391:0.816316:0.303328:0.646243:0.303328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.683145:0.318496:0.690163:0.318496:0.690163:0.303460:0.683145:0.303460:0.000000
elipse.:@0.638500:0.334233:0.677478:0.334233:0.677478:0.319170:0.638500:0.319170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.638503:0.357308:0.645398:0.357308:0.645398:0.342272:0.638503:0.342272:0.000000
:@0.640473:0.355354:0.646331:0.355354:0.646331:0.340912:0.640473:0.340912:0.000000
1:@0.644923:0.360194:0.649445:0.360194:0.649445:0.351413:0.644923:0.351413:0.000000
 y   son los focos de la elipse.:@0.649446:0.357202:0.839821:0.357202:0.839821:0.342139:0.649446:0.342140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.664151:0.357308:0.671046:0.357308:0.671046:0.342272:0.664151:0.342272:0.000000
:@0.666121:0.355354:0.671978:0.355354:0.671978:0.340912:0.666121:0.340912:0.000000
2:@0.670569:0.360194:0.675091:0.360194:0.675091:0.351413:0.670569:0.351413:0.000000
0 es el centro de la elipse.:@0.638503:0.380172:0.799888:0.380172:0.799888:0.365109:0.638503:0.365109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.639664:0.378324:0.645521:0.378324:0.645521:0.363882:0.639664:0.363882:0.000000
La suma de las distancias desde :@0.638503:0.403143:0.845411:0.403143:0.845411:0.388080:0.638503:0.388080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un punto   a los puntos fijos :@0.638503:0.418985:0.828158:0.418985:0.828158:0.403922:0.638503:0.403922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.704025:0.419090:0.713119:0.419090:0.713119:0.404054:0.704025:0.404054:0.000000
:@0.707315:0.417137:0.713172:0.417137:0.713172:0.402695:0.707315:0.402695:0.000000
llamados focos es siempre :@0.638503:0.434827:0.810740:0.434827:0.810740:0.419764:0.638503:0.419764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante e igual a 2  con   > 0.:@0.638503:0.450669:0.846628:0.450669:0.846628:0.435606:0.638503:0.435606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.770428:0.450774:0.778625:0.450774:0.778625:0.435738:0.770428:0.435738:0.000000
a:@0.810762:0.450774:0.818959:0.450774:0.818959:0.435738:0.810762:0.435738:0.000000
La ecuación cartesiana de la :@0.638503:0.473640:0.822668:0.473640:0.822668:0.458577:0.638503:0.458577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elipse con centro en el origen :@0.638503:0.489482:0.831694:0.489482:0.831694:0.474419:0.638503:0.474419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 es::@0.638503:0.505322:0.665117:0.505322:0.665117:0.490259:0.638503:0.490260:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.639664:0.503474:0.645521:0.503474:0.645521:0.489032:0.639664:0.489032:0.000000
       +        = 1,:@0.638503:0.528293:0.729022:0.528293:0.729022:0.513230:0.638503:0.513230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde   > 0 y   > 0.:@0.638503:0.558393:0.769356:0.558393:0.769356:0.543330:0.638503:0.543330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.685099:0.558499:0.693296:0.558499:0.693296:0.543462:0.685099:0.543462:0.000000
b:@0.733190:0.558499:0.741651:0.558499:0.741651:0.543462:0.733190:0.543462:0.000000
x:@0.646786:0.521269:0.653610:0.521269:0.653610:0.506233:0.646786:0.506233:0.000000
a:@0.646100:0.536186:0.654296:0.536186:0.654296:0.521150:0.646100:0.521150:0.000000
y:@0.686896:0.521269:0.693914:0.521269:0.693914:0.506233:0.686896:0.506233:0.000000
b:@0.686175:0.536186:0.694635:0.536186:0.694635:0.521150:0.686175:0.521150:0.000000
2:@0.662535:0.515856:0.667057:0.515856:0.667057:0.507074:0.662535:0.507074:0.000000
2:@0.702744:0.515856:0.707267:0.515856:0.707267:0.507074:0.702744:0.507074:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000