﻿167:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.271063:0.242599:0.271063:0.242599:0.255699:0.117728:0.255699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.271849:0.108221:0.271849:0.108221:0.254713:0.096132:0.254713:0.000000
2.:@0.096353:0.562520:0.110579:0.562520:0.110579:0.545620:0.096353:0.545620:0.000000:0.000000
  Hallemos la ecuación de una elipse de centro (2, –1), uno de los focos es el punto :@0.110579:0.562520:0.716532:0.562520:0.716532:0.546131:0.110579:0.546131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(7, –1) y que pase por el punto (5, 3).:@0.124842:0.579117:0.390141:0.579117:0.390141:0.562728:0.124842:0.562728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.370949:0.154372:0.370949:0.154372:0.355371:0.102121:0.355371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Tenemos que la distancia :@0.154372:0.370949:0.329267:0.370949:0.329267:0.356050:0.154372:0.356050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre los focos, 2  = 60     = 30:@0.102121:0.386037:0.318745:0.386037:0.318745:0.371138:0.102121:0.371138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.213590:0.386037:0.220559:0.386037:0.220559:0.371163:0.213590:0.371163:0.000000
⇒:@0.257900:0.385659:0.274435:0.385659:0.274435:0.370258:0.257900:0.370258:0.000000
c:@0.278104:0.386037:0.285073:0.386037:0.285073:0.371163:0.278104:0.371163:0.000000
Eje mayor: 2 =100     =50:@0.102121:0.408253:0.287937:0.408253:0.287937:0.393354:0.102121:0.393354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.182699:0.408253:0.191125:0.408253:0.191125:0.393379:0.182699:0.393379:0.000000
⇒:@0.229304:0.407876:0.245838:0.407876:0.245838:0.392474:0.229304:0.392474:0.000000
a:@0.249507:0.408253:0.257934:0.408253:0.257934:0.393379:0.249507:0.393379:0.000000
Hallemos el valor de  .:@0.102121:0.430470:0.251904:0.430470:0.251904:0.415571:0.102121:0.415571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.240563:0.430470:0.248990:0.430470:0.248990:0.415596:0.240563:0.415596:0.000000
b:@0.102121:0.452686:0.110548:0.452686:0.110548:0.437812:0.102121:0.437812:0.000000
2:@0.110548:0.447186:0.115314:0.447186:0.115314:0.438500:0.110548:0.438500:0.000000
 =   −  ;   = 50  – 30 ;   = 40:@0.115314:0.452684:0.318610:0.452684:0.318610:0.437785:0.115314:0.437785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.132636:0.452684:0.141062:0.452684:0.141062:0.437810:0.132636:0.437810:0.000000
2:@0.141061:0.447186:0.145827:0.447186:0.145827:0.438500:0.141061:0.438500:0.000000
c b:@0.163149:0.452684:0.189894:0.452684:0.189894:0.437810:0.163149:0.437810:0.000000:0.000000:0.000000
2:@0.170118:0.447186:0.174884:0.447186:0.174884:0.438500:0.170118:0.438500:0.000000
2:@0.189894:0.447186:0.194660:0.447186:0.194660:0.438500:0.189894:0.438500:0.000000
2:@0.228331:0.447186:0.233097:0.447186:0.233097:0.438500:0.228331:0.438500:0.000000
2:@0.265161:0.447186:0.269927:0.447186:0.269927:0.438500:0.265161:0.438500:0.000000
b:@0.276511:0.452684:0.284937:0.452684:0.284937:0.437810:0.276511:0.437810:0.000000
Paso 2.:@0.363238:0.370947:0.415489:0.370947:0.415489:0.355369:0.363238:0.355369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Por conveniencia, ubicamos el centro de :@0.415489:0.370947:0.692788:0.370947:0.692788:0.356048:0.415489:0.356048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la elipse en el origen y, por cuanto los focos están :@0.363238:0.386034:0.696304:0.386034:0.696304:0.371135:0.363238:0.371135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre el eje horizontal, la ecuación es::@0.363238:0.401122:0.613482:0.401122:0.613482:0.386223:0.363238:0.386223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.368090:0.424350:0.374806:0.424350:0.374806:0.409625:0.368090:0.409625:0.000000
a:@0.367336:0.441995:0.375678:0.441995:0.375678:0.427270:0.367336:0.427270:0.000000
y:@0.400742:0.424350:0.407475:0.424350:0.407475:0.409625:0.400742:0.409625:0.000000
b:@0.399705:0.441995:0.408047:0.441995:0.408047:0.427270:0.399705:0.427270:0.000000
x:@0.463312:0.424350:0.470029:0.424350:0.470029:0.409625:0.463312:0.409625:0.000000
y:@0.503082:0.424350:0.509816:0.424350:0.509816:0.409625:0.503082:0.409625:0.000000
x:@0.567014:0.424350:0.573731:0.424350:0.573731:0.409625:0.567014:0.409625:0.000000
y:@0.615409:0.424350:0.622142:0.424350:0.622142:0.409625:0.615409:0.409625:0.000000
2:@0.376241:0.417455:0.380932:0.417455:0.380932:0.408906:0.376241:0.408906:0.000000
2:@0.376001:0.435099:0.380692:0.435099:0.380692:0.426551:0.376001:0.426551:0.000000
2:@0.408892:0.417455:0.413583:0.417455:0.413583:0.408906:0.408892:0.408906:0.000000
2:@0.408373:0.435099:0.413064:0.435099:0.413064:0.426551:0.408373:0.426551:0.000000
2:@0.471464:0.417455:0.476155:0.417455:0.476155:0.408906:0.471464:0.408906:0.000000
2:@0.474953:0.435099:0.479644:0.435099:0.479644:0.426551:0.474953:0.426551:0.000000
2:@0.511237:0.417455:0.515928:0.417455:0.515928:0.408906:0.511237:0.408906:0.000000
2:@0.514861:0.435099:0.519551:0.435099:0.519551:0.426551:0.514861:0.426551:0.000000
2:@0.575166:0.417455:0.579856:0.417455:0.579856:0.408906:0.575166:0.408906:0.000000
2:@0.623551:0.417455:0.628242:0.417455:0.628242:0.408906:0.623551:0.408906:0.000000
1:@0.430377:0.432236:0.438470:0.432236:0.438470:0.417486:0.430377:0.417486:0.000000
50:@0.458552:0.441995:0.474656:0.441995:0.474656:0.427245:0.458552:0.427245:0.000000:0.000000
40:@0.498456:0.441995:0.514560:0.441995:0.514560:0.427245:0.498456:0.427245:0.000000:0.000000
1;  :@0.536342:0.432236:0.554198:0.432236:0.554198:0.417486:0.536342:0.417486:0.000000:0.000000:0.000000:0.000000
2500 1600:@0.557591:0.441995:0.637447:0.441995:0.637447:0.427245:0.557591:0.427245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.652573:0.432237:0.660666:0.432237:0.660666:0.417487:0.652573:0.417487:0.000000
+:@0.386465:0.432846:0.395570:0.432846:0.395570:0.418830:0.386465:0.418830:0.000000
= →:@0.419685:0.432846:0.454845:0.432846:0.454845:0.418830:0.419685:0.418830:0.000000:0.000000:0.000000
+:@0.485162:0.432846:0.494267:0.432846:0.494267:0.418830:0.485162:0.418830:0.000000
=:@0.525646:0.432846:0.534751:0.432846:0.534751:0.418830:0.525646:0.418830:0.000000
+:@0.593594:0.432846:0.602699:0.432846:0.602699:0.418830:0.593594:0.418830:0.000000
=:@0.641882:0.432846:0.650987:0.432846:0.650987:0.418830:0.641882:0.418830:0.000000
Paso 1.:@0.102121:0.605169:0.154372:0.605169:0.154372:0.589591:0.102121:0.589591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Determinamos la distancia del centro al foco ( ), considerando que estos están :@0.154372:0.605169:0.684745:0.605169:0.684745:0.590270:0.154372:0.590270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.463331:0.605169:0.470300:0.605169:0.470300:0.590295:0.463331:0.590295:0.000000
alineados en forma horizontal.:@0.102121:0.620257:0.303331:0.620257:0.303331:0.605358:0.102121:0.605358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.102121:0.642473:0.109090:0.642473:0.109090:0.627599:0.102121:0.627599:0.000000
 = 7 – 2 = 5.:@0.109090:0.642473:0.186888:0.642473:0.186888:0.627574:0.109090:0.627574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.102121:0.664074:0.154372:0.664074:0.154372:0.648496:0.102121:0.648496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reemplazamos el punto (5, 3) y las coordenadas del centro (2, –1),  en la ecuación :@0.154372:0.664074:0.704311:0.664074:0.704311:0.649175:0.154372:0.649175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la elipse de eje mayor horizontal y de centro ( ,  ):@0.102121:0.679161:0.451720:0.679161:0.451720:0.664262:0.102121:0.664262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h k:@0.425168:0.679161:0.447281:0.679161:0.447281:0.664287:0.425168:0.664287:0.000000:0.000000:0.000000
(52:@0.105786:0.704247:0.143434:0.704247:0.143434:0.687858:0.105786:0.687858:0.000000:0.000000:0.000000
):@0.143378:0.704247:0.148262:0.704247:0.148262:0.687858:0.143378:0.687858:0.000000
(3:@0.173323:0.704247:0.187568:0.704247:0.187568:0.687858:0.173323:0.687858:0.000000:0.000000
( )):@0.201904:0.704247:0.233913:0.704247:0.233913:0.687858:0.201904:0.687858:0.000000:0.000000:0.000000:0.000000
1:@0.217789:0.704247:0.226782:0.704247:0.226782:0.687858:0.217789:0.687858:0.000000
1 :@0.257630:0.713015:0.268289:0.713009:0.268289:0.696620:0.257630:0.696626:0.000000:0.000000
9:@0.298410:0.704247:0.307403:0.704247:0.307403:0.687858:0.298410:0.687858:0.000000
16:@0.328723:0.704247:0.346617:0.704247:0.346617:0.687858:0.328723:0.687858:0.000000:0.000000
1:@0.363441:0.713015:0.372434:0.713015:0.372434:0.696626:0.363441:0.696626:0.000000
2:@0.148085:0.696585:0.153297:0.696585:0.153297:0.687087:0.148085:0.687087:0.000000
2:@0.132066:0.716190:0.137278:0.716190:0.137278:0.706692:0.132066:0.706692:0.000000
2:@0.233736:0.696585:0.238948:0.696585:0.238948:0.687087:0.233736:0.687087:0.000000
2:@0.208499:0.716191:0.213711:0.716191:0.213711:0.706693:0.208499:0.706693:0.000000
2:@0.304307:0.716191:0.309518:0.716191:0.309518:0.706693:0.304307:0.706693:0.000000
2:@0.339481:0.716191:0.344693:0.716191:0.344693:0.706693:0.339481:0.706693:0.000000
−:@0.122015:0.704925:0.132132:0.704925:0.132132:0.689352:0.122015:0.689352:0.000000
+:@0.159442:0.713693:0.169559:0.713693:0.169559:0.698120:0.159442:0.698120:0.000000
−−:@0.189811:0.704925:0.217839:0.704925:0.217839:0.689352:0.189811:0.689352:0.000000:0.000000
=→:@0.245720:0.713693:0.290296:0.713693:0.290296:0.698120:0.245720:0.698120:0.000000:0.000000
+:@0.315661:0.713687:0.325778:0.713687:0.325778:0.698114:0.315661:0.698114:0.000000
=:@0.351521:0.713687:0.361638:0.713687:0.361638:0.698114:0.351521:0.698114:0.000000
a:@0.122429:0.723852:0.131698:0.723852:0.131698:0.707491:0.122429:0.707491:0.000000
b:@0.198867:0.723852:0.208136:0.723852:0.208136:0.707491:0.198867:0.707491:0.000000
a:@0.294672:0.723852:0.303941:0.723852:0.303941:0.707491:0.294672:0.707491:0.000000
b:@0.329851:0.723852:0.339120:0.723852:0.339120:0.707491:0.329851:0.707491:0.000000
Paso 3.:@0.102121:0.744508:0.154372:0.744508:0.154372:0.728930:0.102121:0.728930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Como   =   −   y   = 5, tenemos:   =   – 25. :@0.154372:0.744508:0.477344:0.744508:0.477344:0.729609:0.154372:0.729609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.202703:0.744508:0.211129:0.744508:0.211129:0.729634:0.202703:0.729634:0.000000
2:@0.211128:0.739011:0.215894:0.739011:0.215894:0.730325:0.211128:0.730325:0.000000
a:@0.233216:0.744508:0.241642:0.744508:0.241642:0.729634:0.233216:0.729634:0.000000
2:@0.241642:0.739011:0.246408:0.739011:0.246408:0.730325:0.241642:0.730325:0.000000
c:@0.263730:0.744508:0.270699:0.744508:0.270699:0.729634:0.263730:0.729634:0.000000
2:@0.270698:0.739011:0.275464:0.739011:0.275464:0.730325:0.270698:0.730325:0.000000
c:@0.290172:0.744508:0.297141:0.744508:0.297141:0.729634:0.290172:0.729634:0.000000
b:@0.394991:0.744508:0.403417:0.744508:0.403417:0.729634:0.394991:0.729634:0.000000
2:@0.403417:0.739011:0.408183:0.739011:0.408183:0.730325:0.403417:0.730325:0.000000
a:@0.425505:0.744508:0.433931:0.744508:0.433931:0.729634:0.425505:0.729634:0.000000
2:@0.433930:0.739011:0.438696:0.739011:0.438696:0.730325:0.433930:0.730325:0.000000
Sustituimos este valor en la ecuación de la elipse.:@0.102123:0.766725:0.428839:0.766725:0.428839:0.751826:0.102123:0.751826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.109283:0.788818:0.117376:0.788818:0.117376:0.774068:0.109283:0.774068:0.000000
16:@0.151209:0.788818:0.167313:0.788818:0.167313:0.774068:0.151209:0.774068:0.000000:0.000000
25:@0.166567:0.806468:0.182671:0.806468:0.182671:0.791718:0.166567:0.791718:0.000000:0.000000
1:@0.197061:0.796703:0.205154:0.796703:0.205154:0.781953:0.197061:0.781953:0.000000
50:@0.253466:0.796703:0.269570:0.796703:0.269570:0.781953:0.253466:0.781953:0.000000:0.000000
225 0:@0.298793:0.796703:0.345098:0.796703:0.345098:0.781953:0.298793:0.781953:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.114607:0.799567:0.119298:0.799567:0.119298:0.791019:0.114607:0.791019:0.000000
2:@0.146508:0.799567:0.151199:0.799567:0.151199:0.791019:0.146508:0.791019:0.000000
4:@0.233100:0.789807:0.237790:0.789807:0.237790:0.781259:0.233100:0.781259:0.000000
2:@0.278429:0.789807:0.283119:0.789807:0.283119:0.781259:0.278429:0.781259:0.000000
a:@0.105938:0.806463:0.114280:0.806463:0.114280:0.791738:0.105938:0.791738:0.000000
a:@0.137830:0.806463:0.146173:0.806463:0.146173:0.791738:0.137830:0.791738:0.000000
a:@0.224151:0.796703:0.232493:0.796703:0.232493:0.781977:0.224151:0.781977:0.000000
a:@0.269760:0.796703:0.278102:0.796703:0.278102:0.781977:0.269760:0.781977:0.000000
+:@0.124824:0.797313:0.133930:0.797313:0.133930:0.783297:0.124824:0.783297:0.000000
−:@0.155409:0.807073:0.164515:0.807073:0.164515:0.793057:0.155409:0.793057:0.000000
=→:@0.186365:0.797313:0.221541:0.797313:0.221541:0.783297:0.186365:0.783297:0.000000:0.000000
−:@0.242289:0.797313:0.251394:0.797313:0.251394:0.783297:0.242289:0.783297:0.000000
+:@0.287333:0.797313:0.296438:0.797313:0.296438:0.783297:0.287333:0.783297:0.000000
=:@0.325263:0.797313:0.334368:0.797313:0.334368:0.783297:0.325263:0.783297:0.000000
Paso 4.:@0.102121:0.827166:0.154372:0.827166:0.154372:0.811588:0.102121:0.811588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolvemos la ecuación y hallamos los valores de   y  .:@0.154372:0.827166:0.533622:0.827166:0.533622:0.812267:0.154372:0.812267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.489616:0.827166:0.498042:0.827166:0.498042:0.812292:0.489616:0.812292:0.000000
2:@0.498041:0.821668:0.502807:0.821668:0.502807:0.812982:0.498041:0.812982:0.000000
b:@0.517516:0.827166:0.525942:0.827166:0.525942:0.812292:0.517516:0.812292:0.000000
2:@0.525941:0.821668:0.530707:0.821668:0.530707:0.812982:0.525941:0.812982:0.000000
a:@0.102113:0.849382:0.110540:0.849382:0.110540:0.834508:0.102113:0.834508:0.000000
2:@0.110547:0.843883:0.115313:0.843883:0.115313:0.835197:0.110547:0.835197:0.000000
 = 45;   = 45 – 25     = 20:@0.115313:0.849381:0.305230:0.849381:0.305230:0.834482:0.115313:0.834482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.155569:0.849381:0.163996:0.849381:0.163996:0.834507:0.155569:0.834507:0.000000
2:@0.163995:0.843883:0.168761:0.843883:0.168761:0.835197:0.163995:0.835197:0.000000
⇒:@0.238166:0.849004:0.254701:0.849004:0.254701:0.833602:0.238166:0.833602:0.000000
b:@0.258370:0.849381:0.266796:0.849381:0.266796:0.834507:0.258370:0.834507:0.000000
2:@0.266791:0.843883:0.271557:0.843883:0.271557:0.835197:0.266791:0.835197:0.000000
Paso 5.:@0.102123:0.869536:0.154374:0.869536:0.154374:0.853958:0.102123:0.853958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sustituimos los valores en la ecuación ordinaria de la elipse.:@0.154374:0.869536:0.552790:0.869536:0.552790:0.854637:0.154374:0.854637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.105419:0.892767:0.109814:0.892767:0.109814:0.878017:0.105419:0.878017:0.000000
) 2:@0.141044:0.892767:0.141088:0.892767:0.141088:0.878017:0.141044:0.878017:0.000000:0.000000:0.000000
(:@0.167994:0.892767:0.172389:0.892767:0.172389:0.878017:0.167994:0.878017:0.000000
( )):@0.195508:0.892767:0.224300:0.892767:0.224300:0.878017:0.195508:0.878017:0.000000:0.000000:0.000000:0.000000
(:@0.278466:0.892767:0.282861:0.892767:0.282861:0.878017:0.278466:0.878017:0.000000
) 2:@0.314090:0.892767:0.314132:0.892761:0.314132:0.878011:0.314090:0.878017:0.000000:0.000000:0.000000
(:@0.341041:0.892767:0.345436:0.892767:0.345436:0.878017:0.341041:0.878017:0.000000
) 1:@0.373829:0.892767:0.376185:0.892767:0.376185:0.878017:0.373829:0.878017:0.000000:0.000000:0.000000
x:@0.111390:0.892767:0.118107:0.892767:0.118107:0.878042:0.111390:0.878042:0.000000
y:@0.174197:0.892767:0.180930:0.892767:0.180930:0.878042:0.174197:0.878042:0.000000
x:@0.284460:0.892767:0.291177:0.892767:0.291177:0.878042:0.284460:0.878042:0.000000
y:@0.347267:0.892767:0.354000:0.892767:0.354000:0.878042:0.347267:0.878042:0.000000
−:@0.121816:0.893377:0.130921:0.893377:0.130921:0.879361:0.121816:0.879361:0.000000
+:@0.155500:0.901268:0.164605:0.901268:0.164605:0.887253:0.155500:0.887253:0.000000
−−:@0.184623:0.893377:0.209848:0.893377:0.209848:0.879361:0.184623:0.879361:0.000000:0.000000
=→:@0.234941:0.901268:0.275060:0.901268:0.275060:0.887253:0.234941:0.887253:0.000000:0.000000
−:@0.294879:0.893377:0.303984:0.893377:0.303984:0.879361:0.294879:0.879361:0.000000
+:@0.328563:0.901268:0.337668:0.901268:0.337668:0.887253:0.328563:0.887253:0.000000
+:@0.357686:0.893377:0.366791:0.893377:0.366791:0.879361:0.357686:0.879361:0.000000
=:@0.388882:0.901268:0.397987:0.901268:0.397987:0.887253:0.388882:0.887253:0.000000
45:@0.121250:0.910413:0.137354:0.910413:0.137354:0.895663:0.121250:0.895663:0.000000:0.000000
1:@0.209781:0.892767:0.217874:0.892767:0.217874:0.878017:0.209781:0.878017:0.000000
30:@0.191358:0.910413:0.207462:0.910413:0.207462:0.895663:0.191358:0.895663:0.000000:0.000000
1 :@0.245636:0.900652:0.255252:0.900652:0.255252:0.885902:0.245636:0.885902:0.000000:0.000000
45:@0.294309:0.910413:0.310413:0.910413:0.310413:0.895663:0.294309:0.895663:0.000000:0.000000
30:@0.354852:0.910413:0.370956:0.910413:0.370956:0.895663:0.354852:0.895663:0.000000:0.000000
1:@0.399566:0.900652:0.407659:0.900652:0.407659:0.885902:0.399566:0.885902:0.000000
2:@0.145279:0.885872:0.149970:0.885872:0.149970:0.877324:0.145279:0.877324:0.000000
2:@0.224153:0.885872:0.228843:0.885872:0.228843:0.877324:0.224153:0.877324:0.000000
2:@0.318337:0.885872:0.323027:0.885872:0.323027:0.877324:0.318337:0.877324:0.000000
2:@0.378083:0.885872:0.382773:0.885872:0.382773:0.877324:0.378083:0.877324:0.000000
Paso único.:@0.102121:0.508557:0.185716:0.508557:0.185716:0.492979:0.102121:0.492979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 El largo corresponde al eje mayor 2  = 2 500 m.:@0.185716:0.508557:0.505549:0.508557:0.505549:0.493658:0.185716:0.493658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.423127:0.508557:0.431554:0.508557:0.431554:0.493683:0.423127:0.493683:0.000000
El ancho es el eje menor 2  = 80 m.:@0.102121:0.530773:0.338531:0.530773:0.338531:0.515874:0.102121:0.515874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.276128:0.530773:0.284555:0.530773:0.284555:0.515900:0.276128:0.515900:0.000000
Ejemplos paso a paso:@0.096358:0.297167:0.251251:0.297167:0.251251:0.281803:0.096358:0.281803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.324765:0.110585:0.324765:0.110585:0.307864:0.096359:0.307864:0.000000:0.000000
  Resolvamos el problema inicial.:@0.110585:0.324765:0.353790:0.324765:0.353790:0.308376:0.110585:0.308376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124848:0.344929:0.139756:0.344929:0.139756:0.328029:0.124848:0.328029:0.000000:0.000000
  Hallemos la ecuación cartesiana de la elipse.:@0.139756:0.344929:0.476663:0.344929:0.476663:0.328540:0.139756:0.328540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.124848:0.482513:0.141065:0.482513:0.141065:0.465613:0.124848:0.465613:0.000000:0.000000
  Calcula el largo y el ancho de la pista. :@0.141065:0.482513:0.429345:0.482513:0.429345:0.466124:0.141065:0.466124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación general :@0.755006:0.269177:0.882004:0.269177:0.882004:0.253813:0.755006:0.253813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la elipse:@0.755006:0.284264:0.835803:0.284264:0.835803:0.268900:0.755006:0.268900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación general de la :@0.755006:0.302910:0.928260:0.302910:0.928260:0.288011:0.755006:0.288011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elipse se obtiene :@0.755006:0.317998:0.871251:0.317998:0.871251:0.303099:0.755006:0.303099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desarrollando la ecuación :@0.755006:0.333085:0.929665:0.333085:0.929665:0.318186:0.755006:0.318186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cartesiana e igualándola a :@0.755006:0.348173:0.931442:0.348173:0.931442:0.333274:0.755006:0.333274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cero y toma la forma::@0.755006:0.363261:0.895138:0.363261:0.895138:0.348362:0.755006:0.348362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ax:@0.755006:0.381906:0.770955:0.381906:0.770955:0.367033:0.755006:0.367033:0.000000:0.000000
2:@0.770785:0.376420:0.775551:0.376420:0.775551:0.367734:0.770785:0.367734:0.000000
 + :@0.775454:0.381918:0.792441:0.381918:0.792441:0.367019:0.775454:0.367019:0.000000:0.000000:0.000000
By:@0.792274:0.381918:0.807183:0.381918:0.807183:0.367044:0.792274:0.367044:0.000000:0.000000
2:@0.807016:0.376420:0.811782:0.376420:0.811782:0.367734:0.807016:0.367734:0.000000
 + :@0.811683:0.381918:0.828670:0.381918:0.828670:0.367019:0.811683:0.367019:0.000000:0.000000:0.000000
Dx Ey F:@0.828502:0.381918:0.900253:0.381918:0.900253:0.367044:0.828502:0.367044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 +   +   = 0.:@0.845523:0.381918:0.927827:0.381918:0.927827:0.367019:0.845523:0.367019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De igual manera, :@0.755010:0.400564:0.871640:0.400564:0.871640:0.385665:0.755010:0.385665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podemos pasar de la :@0.755010:0.415651:0.898008:0.415651:0.898008:0.400752:0.755010:0.400752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma general a la :@0.755010:0.430739:0.878324:0.430739:0.878324:0.415840:0.755010:0.415840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordinaria, completando el :@0.755010:0.445826:0.930457:0.445826:0.930457:0.430927:0.755010:0.430927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado perfecto y :@0.755010:0.460914:0.893802:0.460914:0.893802:0.446015:0.755010:0.446015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agrupando.:@0.755010:0.476002:0.831903:0.476002:0.831903:0.461103:0.755010:0.461103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.755010:0.494647:0.812872:0.494647:0.812872:0.479748:0.755010:0.479748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.757321:0.511562:0.764066:0.511562:0.764066:0.499271:0.757321:0.499271:0.000000
9:@0.788846:0.511562:0.795591:0.511562:0.795591:0.499271:0.788846:0.499271:0.000000
48:@0.820772:0.511562:0.834192:0.511562:0.834192:0.499271:0.820772:0.499271:0.000000:0.000000
72:@0.853210:0.511562:0.866630:0.511562:0.866630:0.499271:0.853210:0.499271:0.000000:0.000000
144 0:@0.884776:0.511562:0.923985:0.511562:0.923985:0.499271:0.884776:0.499271:0.000000:0.000000:0.000000:0.000000:0.000000
4(:@0.757321:0.528512:0.767432:0.528522:0.767432:0.516230:0.757321:0.516220:0.000000:0.000000
12:@0.791445:0.528512:0.804865:0.528512:0.804865:0.516220:0.791445:0.516220:0.000000:0.000000
36):@0.823675:0.528512:0.841124:0.528522:0.841124:0.516230:0.823675:0.516220:0.000000:0.000000:0.000000
9(:@0.852215:0.528512:0.862363:0.528507:0.862363:0.516215:0.852215:0.516220:0.000000:0.000000
8:@0.887402:0.528512:0.894147:0.528512:0.894147:0.516220:0.887402:0.516220:0.000000
16):@0.912722:0.528512:0.930209:0.528507:0.930209:0.516215:0.912722:0.516220:0.000000:0.000000:0.000000
144:@0.941344:0.528512:0.961440:0.528512:0.961440:0.516220:0.941344:0.516220:0.000000:0.000000:0.000000
4(:@0.757321:0.545461:0.767462:0.545450:0.767462:0.533159:0.757321:0.533169:0.000000:0.000000
6 ):@0.786967:0.545461:0.803313:0.545450:0.803313:0.533159:0.786967:0.533169:0.000000:0.000000:0.000000
9(:@0.814373:0.545461:0.824512:0.545450:0.824512:0.533159:0.814373:0.533169:0.000000:0.000000
2:@0.771889:0.505816:0.775798:0.505816:0.775798:0.498693:0.771889:0.498693:0.000000
2:@0.803616:0.505816:0.807524:0.505816:0.807524:0.498693:0.803616:0.498693:0.000000
2:@0.775582:0.522762:0.779491:0.522762:0.779491:0.515639:0.775582:0.515639:0.000000
2:@0.870680:0.522762:0.874589:0.522762:0.874589:0.515639:0.870680:0.515639:0.000000
2:@0.793954:0.539704:0.797863:0.539704:0.797863:0.532581:0.793954:0.532581:0.000000
x:@0.765096:0.511562:0.770694:0.511562:0.770694:0.499292:0.765096:0.499292:0.000000
y:@0.796829:0.511562:0.802440:0.511562:0.802440:0.499292:0.796829:0.499292:0.000000
x:@0.835223:0.511562:0.840820:0.511562:0.840820:0.499292:0.835223:0.499292:0.000000
y:@0.867425:0.511562:0.873036:0.511562:0.873036:0.499292:0.867425:0.499292:0.000000
x:@0.768786:0.528512:0.774384:0.528512:0.774384:0.516241:0.768786:0.516241:0.000000
x:@0.805453:0.528512:0.811050:0.528512:0.811050:0.516241:0.805453:0.516241:0.000000
y:@0.863887:0.528512:0.869498:0.528512:0.869498:0.516241:0.863887:0.516241:0.000000
y:@0.895370:0.528512:0.900982:0.528512:0.900982:0.516241:0.895370:0.516241:0.000000
x:@0.768786:0.545461:0.774384:0.545461:0.774384:0.533190:0.768786:0.533190:0.000000
+:@0.779304:0.512081:0.786891:0.512081:0.786891:0.500401:0.779304:0.500401:0.000000
−:@0.811036:0.512081:0.818624:0.512081:0.818624:0.500401:0.811036:0.500401:0.000000
+:@0.843888:0.512081:0.851476:0.512081:0.851476:0.500401:0.843888:0.500401:0.000000
+:@0.876090:0.512081:0.883678:0.512081:0.883678:0.500401:0.876090:0.500401:0.000000
=:@0.907450:0.512081:0.915037:0.512081:0.915037:0.500401:0.907450:0.500401:0.000000
−:@0.782980:0.529030:0.790568:0.529030:0.790568:0.517350:0.782980:0.517350:0.000000
+:@0.814118:0.529030:0.821706:0.529030:0.821706:0.517350:0.814118:0.517350:0.000000
−:@0.842893:0.529030:0.850481:0.529030:0.850481:0.517350:0.842893:0.517350:0.000000
−:@0.878081:0.529030:0.885668:0.529030:0.885668:0.517350:0.878081:0.517350:0.000000
+:@0.904022:0.529030:0.911610:0.529030:0.911610:0.517350:0.904022:0.517350:0.000000
=:@0.932410:0.529030:0.939997:0.529030:0.939997:0.517350:0.932410:0.517350:0.000000
−:@0.777438:0.545979:0.785026:0.545979:0.785026:0.534299:0.777438:0.534299:0.000000
−:@0.805038:0.545979:0.812626:0.545979:0.812626:0.534299:0.805038:0.534299:0.000000
(:@0.820850:0.545450:0.824512:0.545450:0.824512:0.533159:0.820850:0.533159:0.000000
) 4:@0.851587:0.545450:0.851214:0.545471:0.851214:0.533180:0.851587:0.533159:0.000000:0.000000:0.000000
( 4:@0.764904:0.562400:0.765194:0.562420:0.765194:0.550129:0.764904:0.550108:0.000000:0.000000:0.000000
) 6:@0.795212:0.562400:0.794839:0.562420:0.794839:0.550129:0.795212:0.550108:0.000000:0.000000:0.000000
( 9:@0.824153:0.562400:0.824443:0.562420:0.824443:0.550129:0.824153:0.550108:0.000000:0.000000:0.000000
) 4:@0.854890:0.562400:0.854517:0.562420:0.854517:0.550129:0.854890:0.550108:0.000000:0.000000:0.000000
(:@0.757758:0.591453:0.761421:0.591453:0.761421:0.579162:0.757758:0.579162:0.000000
) (:@0.793609:0.591453:0.813953:0.591453:0.813953:0.579162:0.793609:0.579162:0.000000:0.000000:0.000000
) 4:@0.841028:0.591453:0.840629:0.591450:0.840629:0.579158:0.841028:0.579162:0.000000:0.000000:0.000000
y:@0.826033:0.545450:0.831644:0.545450:0.831644:0.533179:0.826033:0.533179:0.000000
x:@0.769893:0.562400:0.775490:0.562400:0.775490:0.550129:0.769893:0.550129:0.000000
y:@0.829336:0.562400:0.834947:0.562400:0.834947:0.550129:0.829336:0.550129:0.000000
x:@0.762748:0.591453:0.768345:0.591453:0.768345:0.579183:0.762748:0.579183:0.000000
y:@0.815474:0.591453:0.821085:0.591453:0.821085:0.579183:0.815474:0.579183:0.000000
−:@0.834712:0.545959:0.842300:0.545959:0.842300:0.534279:0.834712:0.534279:0.000000
=:@0.863017:0.545959:0.870604:0.545959:0.870604:0.534279:0.863017:0.534279:0.000000
−:@0.778572:0.562908:0.786160:0.562908:0.786160:0.551228:0.778572:0.551228:0.000000
−:@0.807278:0.569484:0.814866:0.569484:0.814866:0.557804:0.807278:0.557804:0.000000
−:@0.838015:0.562908:0.845603:0.562908:0.845603:0.551228:0.838015:0.551228:0.000000
=:@0.867426:0.569484:0.875013:0.569484:0.875013:0.557804:0.867426:0.557804:0.000000
−:@0.771427:0.591972:0.779014:0.591972:0.779014:0.580293:0.771427:0.580293:0.000000
−:@0.800133:0.598549:0.807720:0.598549:0.807720:0.586869:0.800133:0.586869:0.000000
−:@0.824167:0.591972:0.831755:0.591972:0.831755:0.580293:0.824167:0.580293:0.000000
=:@0.853577:0.598549:0.861165:0.598549:0.861165:0.586869:0.853577:0.586869:0.000000
144:@0.871959:0.545471:0.892054:0.545471:0.892054:0.533180:0.871959:0.533180:0.000000:0.000000:0.000000
144:@0.770584:0.577129:0.790679:0.577129:0.790679:0.564837:0.770584:0.564837:0.000000:0.000000:0.000000
144:@0.830262:0.577129:0.850357:0.577129:0.850357:0.564837:0.830262:0.564837:0.000000:0.000000:0.000000
1:@0.876354:0.568997:0.883098:0.568997:0.883098:0.556705:0.876354:0.556705:0.000000
6:@0.780950:0.591485:0.787694:0.591485:0.787694:0.579193:0.780950:0.579193:0.000000
36:@0.770750:0.606154:0.784170:0.606154:0.784170:0.593862:0.770750:0.593862:0.000000:0.000000
16:@0.823049:0.606154:0.836469:0.606154:0.836469:0.593862:0.823049:0.593862:0.000000:0.000000
1:@0.862470:0.598022:0.869214:0.598022:0.869214:0.585730:0.862470:0.585730:0.000000
2:@0.855127:0.539704:0.859036:0.539704:0.859036:0.532581:0.855127:0.532581:0.000000
2:@0.798747:0.556651:0.802656:0.556651:0.802656:0.549527:0.798747:0.549527:0.000000
2:@0.858427:0.556651:0.862336:0.556651:0.862336:0.549527:0.858427:0.549527:0.000000
2:@0.787910:0.585704:0.791819:0.585704:0.791819:0.578580:0.787910:0.578580:0.000000
2:@0.844570:0.585704:0.848479:0.585704:0.848479:0.578580:0.844570:0.578580:0.000000
     Matemática:@0.775870:0.236735:0.883411:0.236735:0.883411:0.219834:0.775870:0.219834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Excentricidad:@0.755006:0.699096:0.853025:0.699096:0.853025:0.683732:0.755006:0.683732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La excentricidad es un :@0.755006:0.717742:0.907284:0.717742:0.907284:0.702843:0.755006:0.702843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor que mide qué tan :@0.755006:0.732829:0.914355:0.732829:0.914355:0.717930:0.755006:0.717930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
’alejada’ o  ‘distorsionada’ :@0.755006:0.747917:0.919932:0.747917:0.919932:0.733018:0.755006:0.733018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es una cónica respecto de :@0.755006:0.763004:0.932530:0.763004:0.932530:0.748105:0.755006:0.748105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una circunferencia :@0.755006:0.778092:0.881604:0.778092:0.881604:0.763193:0.755006:0.763193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perfecta. Se denota :@0.755006:0.793180:0.888370:0.793180:0.888370:0.778281:0.755006:0.778281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comúnmente con la letra e.:@0.755006:0.808267:0.930102:0.808267:0.930102:0.793368:0.755006:0.793368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se calcula con la :@0.755006:0.826913:0.868336:0.826913:0.868336:0.812014:0.755006:0.812014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresión :@0.755006:0.842001:0.823758:0.842001:0.823758:0.827102:0.755006:0.827102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.823854:0.871037:0.831648:0.871037:0.831648:0.854675:0.823854:0.854675:0.000000
c:@0.850703:0.862268:0.858369:0.862268:0.858369:0.845907:0.850703:0.845907:0.000000
a:@0.850239:0.881881:0.859508:0.881881:0.859508:0.865520:0.850239:0.865520:0.000000
=:@0.835475:0.871714:0.845591:0.871714:0.845591:0.856142:0.835475:0.856142:0.000000
Para la elipse se tiene que, :@0.755006:0.903205:0.932159:0.903205:0.932159:0.888306:0.755006:0.888306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 <   < 1:@0.755006:0.918292:0.813087:0.918292:0.813087:0.903393:0.755006:0.903393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.780503:0.918292:0.787590:0.918292:0.787590:0.903419:0.780503:0.903419:0.000000
     Matemática:@0.775870:0.666655:0.883411:0.666655:0.883411:0.649754:0.775870:0.649754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–20:@0.826730:0.150854:0.839048:0.150854:0.839048:0.144002:0.826730:0.144002:0.000000:0.000000:0.000000
–40:@0.826730:0.172258:0.839048:0.172258:0.839048:0.165406:0.826730:0.165406:0.000000:0.000000:0.000000
20:@0.830766:0.108556:0.839048:0.108556:0.839048:0.101704:0.830766:0.101704:0.000000:0.000000
40:@0.830766:0.086650:0.839048:0.086650:0.839048:0.079798:0.830766:0.079798:0.000000:0.000000
–20:@0.807640:0.133601:0.819958:0.133601:0.819958:0.126749:0.807640:0.126749:0.000000:0.000000:0.000000
–60:@0.748924:0.133601:0.761242:0.133601:0.761242:0.126749:0.748924:0.126749:0.000000:0.000000:0.000000
–40:@0.775893:0.133601:0.788211:0.133601:0.788211:0.126749:0.775893:0.126749:0.000000:0.000000:0.000000
20:@0.865597:0.133601:0.873878:0.133601:0.873878:0.126749:0.865597:0.126749:0.000000:0.000000
40:@0.894462:0.133601:0.902744:0.133601:0.902744:0.126749:0.894462:0.126749:0.000000:0.000000
0:@0.834519:0.133601:0.838660:0.133601:0.838660:0.126749:0.834519:0.126749:0.000000
y:@0.834178:0.078082:0.837293:0.078082:0.837293:0.072129:0.834178:0.072129:0.000000
x:@0.922924:0.132639:0.926039:0.132639:0.926039:0.126686:0.922924:0.126686:0.000000
F:@0.873493:0.124148:0.876777:0.124148:0.876777:0.118195:0.873493:0.118195:0.000000
1:@0.876776:0.125361:0.878889:0.125361:0.878889:0.121866:0.876776:0.121866:0.000000
(30, 0):@0.878889:0.124148:0.896730:0.124148:0.896730:0.118153:0.878889:0.118153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.782027:0.124148:0.785311:0.124148:0.785311:0.118195:0.782027:0.118195:0.000000
2:@0.785311:0.125361:0.787424:0.125361:0.787424:0.121866:0.785311:0.121866:0.000000
(–30, 0):@0.787422:0.124148:0.808795:0.124148:0.808795:0.118153:0.787422:0.118153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O:@0.843206:0.145135:0.847924:0.145135:0.847924:0.139182:0.843206:0.139182:0.000000
(0, 0):@0.847924:0.145135:0.862141:0.145135:0.862141:0.139139:0.847924:0.139139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Que es la ecuación ordinaria de la elipse con centro  (0, 0) y eje mayor horizontal. Si :@0.096359:0.096842:0.716539:0.096842:0.716539:0.080453:0.096359:0.080453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O:@0.478749:0.096842:0.490635:0.096842:0.490635:0.080481:0.478749:0.080481:0.000000
el eje mayor es vertical, la elipse con centro en el origen, es::@0.096359:0.113439:0.530470:0.113439:0.530470:0.097050:0.096359:0.097050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.367944:0.138459:0.375407:0.138459:0.375407:0.122098:0.367944:0.122098:0.000000
b:@0.366949:0.158065:0.376218:0.158065:0.376218:0.141704:0.366949:0.141704:0.000000
y:@0.404223:0.138459:0.411704:0.138459:0.411704:0.122098:0.404223:0.122098:0.000000
a:@0.403228:0.158065:0.412497:0.158065:0.412497:0.141704:0.403228:0.141704:0.000000
2:@0.377000:0.130798:0.382212:0.130798:0.382212:0.121300:0.377000:0.121300:0.000000
2:@0.376584:0.150403:0.381795:0.150403:0.381795:0.140905:0.376584:0.140905:0.000000
2:@0.413279:0.130798:0.418491:0.130798:0.418491:0.121300:0.413279:0.121300:0.000000
2:@0.412862:0.150403:0.418074:0.150403:0.418074:0.140905:0.412862:0.140905:0.000000
1:@0.437151:0.147221:0.446144:0.147221:0.446144:0.130832:0.437151:0.130832:0.000000
+:@0.388355:0.147899:0.398472:0.147899:0.398472:0.132326:0.388355:0.132326:0.000000
=:@0.425265:0.147899:0.435382:0.147899:0.435382:0.132326:0.425265:0.132326:0.000000
Si el centro de la elipse se traslada al punto ( ,  ), las ecuaciones de la elipse con eje :@0.096359:0.184775:0.716523:0.184775:0.716523:0.168387:0.096359:0.168387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h k:@0.422913:0.184775:0.447664:0.184775:0.447664:0.168414:0.422913:0.168414:0.000000:0.000000:0.000000
mayor horizontal y vertical son, respectivamente::@0.096359:0.201372:0.454532:0.201372:0.454532:0.184983:0.096359:0.184983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.247273:0.226393:0.252156:0.226393:0.252156:0.210004:0.247273:0.210004:0.000000
):@0.287685:0.226393:0.292568:0.226393:0.292568:0.210004:0.287685:0.210004:0.000000
(:@0.317630:0.226393:0.322513:0.226393:0.322513:0.210004:0.317630:0.210004:0.000000
):@0.357783:0.226393:0.362667:0.226393:0.362667:0.210004:0.357783:0.210004:0.000000
(:@0.416623:0.226393:0.421506:0.226393:0.421506:0.210004:0.416623:0.210004:0.000000
):@0.457035:0.226393:0.461918:0.226393:0.461918:0.210004:0.457035:0.210004:0.000000
(:@0.486990:0.226393:0.491873:0.226393:0.491873:0.210004:0.486990:0.210004:0.000000
):@0.527143:0.226393:0.532027:0.226393:0.532027:0.210004:0.527143:0.210004:0.000000
xh:@0.253922:0.226393:0.287663:0.226393:0.287663:0.210032:0.253922:0.210032:0.000000:0.000000
a:@0.265335:0.246000:0.274604:0.246000:0.274604:0.229638:0.265335:0.229638:0.000000
yk:@0.324543:0.226393:0.356091:0.226393:0.356091:0.210032:0.324543:0.210032:0.000000:0.000000
b:@0.335380:0.246000:0.344650:0.246000:0.344650:0.229638:0.335380:0.229638:0.000000
xh:@0.423279:0.226393:0.457020:0.226393:0.457020:0.210032:0.423279:0.210032:0.000000:0.000000
b:@0.434535:0.246000:0.443804:0.246000:0.443804:0.229638:0.434535:0.229638:0.000000
yk:@0.493900:0.226393:0.525448:0.226393:0.525448:0.210032:0.493900:0.210032:0.000000:0.000000
a:@0.504895:0.246000:0.514164:0.246000:0.514164:0.229638:0.504895:0.229638:0.000000
−:@0.265491:0.227071:0.275608:0.227071:0.275608:0.211498:0.265491:0.211498:0.000000
+:@0.303765:0.235839:0.313882:0.235839:0.313882:0.220267:0.303765:0.220267:0.000000
−:@0.336124:0.227071:0.346241:0.227071:0.346241:0.211498:0.336124:0.211498:0.000000
=:@0.374491:0.235839:0.384607:0.235839:0.384607:0.220267:0.374491:0.220267:0.000000
−:@0.434860:0.227071:0.444976:0.227071:0.444976:0.211498:0.434860:0.211498:0.000000
+:@0.473134:0.235839:0.483251:0.235839:0.483251:0.220267:0.473134:0.220267:0.000000
−:@0.505493:0.227071:0.515609:0.227071:0.515609:0.211498:0.505493:0.211498:0.000000
=:@0.543859:0.235839:0.553976:0.235839:0.553976:0.220267:0.543859:0.220267:0.000000
2:@0.292401:0.218731:0.297612:0.218731:0.297612:0.209233:0.292401:0.209233:0.000000
2:@0.274971:0.238336:0.280183:0.238336:0.280183:0.228838:0.274971:0.228838:0.000000
2:@0.362502:0.218731:0.367713:0.218731:0.367713:0.209233:0.362502:0.209233:0.000000
2:@0.345019:0.238336:0.350231:0.238336:0.350231:0.228838:0.345019:0.228838:0.000000
2:@0.461758:0.218731:0.466970:0.218731:0.466970:0.209233:0.461758:0.209233:0.000000
2:@0.444169:0.238336:0.449381:0.238336:0.449381:0.228838:0.444169:0.228838:0.000000
2:@0.531860:0.218731:0.537071:0.218731:0.537071:0.209233:0.531860:0.209233:0.000000
2:@0.514527:0.238336:0.519738:0.238336:0.519738:0.228838:0.514527:0.228838:0.000000
1  y :@0.386371:0.235156:0.413123:0.235156:0.413123:0.218767:0.386371:0.218767:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.555721:0.235156:0.564714:0.235156:0.564714:0.218767:0.555721:0.218767:0.000000