90:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000
Ecuación cartesiana de la elipse:@0.404235:0.120539:0.793024:0.120539:0.793024:0.075879:0.404235:0.075879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.16. Describir la elipse como lugares geométricos en el plano.  :@0.143847:0.938633:0.431873:0.938633:0.431873:0.928590:0.143847:0.928590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.17. Escribir y reconocer las ecuaciones cartesianas de la elipse con centro en el origen y con centro fuera del origen para resolver y plantear problemas (por ejemplo, en :@0.143847:0.947434:0.895715:0.947434:0.895715:0.937392:0.143847:0.937392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
física: órbitas planetarias, tiro parabólico, etc.), identificando la validez y pertinencia de los resultados obtenidos.:@0.143847:0.956235:0.624070:0.956235:0.624070:0.946193:0.143847:0.946193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elipse:@0.404235:0.154353:0.450612:0.154353:0.450612:0.136670:0.404235:0.136670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.404235:0.171523:0.484318:0.171523:0.484318:0.154577:0.404235:0.154577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean  ,  ,       con   >   y   =   –  ,    = (– , 0), :@0.484320:0.171060:0.863232:0.171060:0.863232:0.154563:0.484320:0.154563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.529016:0.171176:0.568240:0.171176:0.568240:0.154707:0.529016:0.154707:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.572377:0.170542:0.587029:0.170542:0.587029:0.157168:0.572377:0.157168:0.000000
:@0.591171:0.169973:0.604476:0.169973:0.604476:0.157111:0.591171:0.157111:0.000000
a c b:@0.639712:0.171176:0.700340:0.171176:0.700340:0.154707:0.639712:0.154707:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.700338:0.164707:0.705291:0.164707:0.705291:0.155089:0.700338:0.155089:0.000000
a:@0.724384:0.171176:0.733361:0.171176:0.733361:0.154707:0.724384:0.154707:0.000000
2:@0.733360:0.164707:0.738314:0.164707:0.738314:0.155089:0.733360:0.155089:0.000000
c F:@0.757096:0.171176:0.787827:0.171176:0.787827:0.154707:0.757096:0.154707:0.000000:0.000000:0.000000
2:@0.764282:0.164707:0.769235:0.164707:0.769235:0.155089:0.764282:0.155089:0.000000
:@0.782432:0.169036:0.788848:0.169036:0.788848:0.153218:0.782432:0.153218:0.000000
1:@0.787305:0.174337:0.792258:0.174337:0.792258:0.164719:0.787305:0.164719:0.000000
c:@0.827803:0.171176:0.834989:0.171176:0.834989:0.154707:0.827803:0.154707:0.000000
F:@0.404237:0.188527:0.411789:0.188527:0.411789:0.172058:0.404237:0.172058:0.000000
:@0.406395:0.186387:0.412810:0.186387:0.412810:0.170569:0.406395:0.170569:0.000000
2:@0.411265:0.191688:0.416219:0.191688:0.416219:0.182070:0.411265:0.182070:0.000000
 = ( , 0). La elipse de centro 0 y de eje transverso al eje   se denota :@0.416219:0.188411:0.885269:0.188411:0.885269:0.171913:0.416219:0.171913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.441264:0.188527:0.448450:0.188527:0.448450:0.172058:0.441264:0.172058:0.000000
:@0.614439:0.186387:0.620855:0.186387:0.620855:0.170569:0.614439:0.170569:0.000000
x:@0.799733:0.188527:0.807208:0.188527:0.807208:0.172058:0.799733:0.172058:0.000000
con  (0,  ,  ) y se define como el conjunto:@0.404236:0.205762:0.705601:0.205762:0.705601:0.189264:0.404236:0.189264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.435330:0.205877:0.443287:0.205877:0.443287:0.189409:0.435330:0.189409:0.000000
:@0.450511:0.203737:0.456927:0.203737:0.456927:0.187919:0.450511:0.187919:0.000000
a b:@0.463727:0.205877:0.488868:0.205877:0.488868:0.189409:0.463727:0.189409:0.000000:0.000000:0.000000
E:@0.483147:0.238309:0.491103:0.238309:0.491103:0.221840:0.483147:0.221840:0.000000
(0,  ,  ) = {      | ||  –  || + ||  –  || = 2 }.:@0.491103:0.238193:0.812870:0.238200:0.812870:0.221702:0.491103:0.221695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.498328:0.236169:0.504743:0.236169:0.504743:0.220351:0.498328:0.220351:0.000000
a b:@0.511544:0.238309:0.536685:0.238309:0.536685:0.221840:0.511544:0.221840:0.000000:0.000000:0.000000
x:@0.567586:0.238309:0.575061:0.238309:0.575061:0.221840:0.567586:0.221840:0.000000
:@0.569282:0.238685:0.575697:0.238685:0.575697:0.222867:0.569282:0.222867:0.000000
:@0.579823:0.237681:0.594476:0.237681:0.594476:0.224308:0.579823:0.224308:0.000000
:@0.598618:0.237231:0.612528:0.237231:0.612528:0.223784:0.598618:0.223784:0.000000
2:@0.612527:0.231847:0.617480:0.231847:0.617480:0.222229:0.612527:0.222229:0.000000
x:@0.640792:0.238316:0.648267:0.238316:0.648267:0.221847:0.640792:0.221847:0.000000
:@0.642487:0.238692:0.648902:0.238692:0.648902:0.222874:0.642487:0.222874:0.000000
F:@0.667686:0.238316:0.675238:0.238316:0.675238:0.221847:0.667686:0.221847:0.000000
:@0.669844:0.236176:0.676259:0.236176:0.676259:0.220358:0.669844:0.220358:0.000000
1:@0.674715:0.241477:0.679669:0.241477:0.679669:0.231859:0.674715:0.231859:0.000000
x:@0.718797:0.238316:0.726272:0.238316:0.726272:0.221847:0.718797:0.221847:0.000000
:@0.720492:0.238692:0.726907:0.238692:0.726907:0.222874:0.720492:0.222874:0.000000
F:@0.745691:0.238316:0.753243:0.238316:0.753243:0.221847:0.745691:0.221847:0.000000
:@0.747849:0.236176:0.754264:0.236176:0.754264:0.220358:0.747849:0.220358:0.000000
2:@0.752721:0.241477:0.757674:0.241477:0.757674:0.231859:0.752721:0.231859:0.000000
a:@0.795281:0.238316:0.804258:0.238316:0.804258:0.221847:0.795281:0.221847:0.000000
Los puntos fijos   = (– , 0) y   = ( , 0) se llaman focos de la elipse, y :@0.404235:0.270632:0.895829:0.270638:0.895829:0.254141:0.404235:0.254134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.520481:0.270747:0.528033:0.270747:0.528033:0.254278:0.520481:0.254278:0.000000
:@0.522658:0.268607:0.529073:0.268607:0.529073:0.252789:0.522658:0.252789:0.000000
1:@0.527535:0.273915:0.532489:0.273915:0.532489:0.264297:0.527535:0.264297:0.000000
c:@0.568610:0.270754:0.575796:0.270754:0.575796:0.254285:0.568610:0.254285:0.000000
F:@0.614114:0.270754:0.621666:0.270754:0.621666:0.254285:0.614114:0.254285:0.000000
:@0.616311:0.268614:0.622726:0.268614:0.622726:0.252796:0.616311:0.252796:0.000000
2:@0.621186:0.273915:0.626140:0.273915:0.626140:0.264297:0.621186:0.264297:0.000000
c:@0.651761:0.270754:0.658947:0.270754:0.658947:0.254285:0.651761:0.254285:0.000000
la recta que pasa por   y   se llama eje transverso. :@0.404241:0.287989:0.765687:0.287989:0.765687:0.271492:0.404241:0.271492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.556972:0.288105:0.564524:0.288105:0.564524:0.271636:0.556972:0.271636:0.000000
:@0.559134:0.285965:0.565549:0.285965:0.565549:0.270147:0.559134:0.270147:0.000000
1:@0.563997:0.291266:0.568950:0.291266:0.568950:0.281648:0.563997:0.281648:0.000000
F:@0.585057:0.288105:0.592609:0.288105:0.592609:0.271636:0.585057:0.271636:0.000000
:@0.587214:0.285965:0.593630:0.285965:0.593630:0.270147:0.587214:0.270147:0.000000
2:@0.592088:0.291266:0.597041:0.291266:0.597041:0.281648:0.592088:0.281648:0.000000
De la definición del conjunto  (0,  ,  ) es claro que  (0,  ,  )     :@0.404235:0.320421:0.874519:0.320428:0.874519:0.303930:0.404235:0.303923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.615339:0.320536:0.623296:0.320536:0.623296:0.304068:0.615339:0.304068:0.000000
:@0.630524:0.318396:0.636940:0.318396:0.636940:0.302578:0.630524:0.302578:0.000000
a b:@0.644703:0.320536:0.669845:0.320536:0.669845:0.304068:0.644703:0.304068:0.000000:0.000000:0.000000
E:@0.768040:0.320536:0.775996:0.320536:0.775996:0.304068:0.768040:0.304068:0.000000
:@0.783221:0.318396:0.789636:0.318396:0.789636:0.302578:0.783221:0.302578:0.000000
a b:@0.797400:0.320536:0.822541:0.320536:0.822541:0.304068:0.797400:0.304068:0.000000:0.000000:0.000000
:@0.832627:0.320060:0.847977:0.320060:0.847977:0.306050:0.832627:0.306050:0.000000
:@0.852120:0.319341:0.865425:0.319341:0.865425:0.306478:0.852120:0.306478:0.000000
2:@0.865425:0.314075:0.870378:0.314075:0.870378:0.304456:0.865425:0.304456:0.000000
y  (0,  ,  ) ≠ Ø, como se mostrará más adelante.:@0.404235:0.337778:0.744939:0.337778:0.744939:0.321281:0.404235:0.321281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.416198:0.337894:0.424155:0.337894:0.424155:0.321425:0.416198:0.321425:0.000000
:@0.431379:0.335754:0.437795:0.335754:0.437795:0.319936:0.431379:0.319936:0.000000
a b:@0.445558:0.337894:0.470700:0.337894:0.470700:0.321425:0.445558:0.321425:0.000000:0.000000:0.000000
Sea   = ( ,  )    . Entonces,:@0.404235:0.370210:0.606510:0.370217:0.606510:0.353719:0.404235:0.353712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.432497:0.370325:0.439972:0.370325:0.439972:0.353857:0.432497:0.353857:0.000000
:@0.434192:0.370701:0.440607:0.370701:0.440607:0.354883:0.434192:0.354883:0.000000
x y:@0.463726:0.370325:0.485784:0.370325:0.485784:0.353857:0.463726:0.353857:0.000000:0.000000:0.000000
:@0.493950:0.369698:0.508603:0.369698:0.508603:0.356325:0.493950:0.356325:0.000000
:@0.512744:0.369248:0.526653:0.369248:0.526653:0.355801:0.512744:0.355801:0.000000
2:@0.526653:0.363864:0.531606:0.363864:0.531606:0.354246:0.526653:0.354246:0.000000
x:@0.404224:0.394811:0.411699:0.394811:0.411699:0.378343:0.404224:0.378343:0.000000
:@0.405920:0.395187:0.412335:0.395187:0.412335:0.379369:0.405920:0.379369:0.000000
 –   = ( ,  ) – (– , 0) = (  +  ,  ),       –   = ( ,  ) – ( , 0) = (  –  ,  ).:@0.412335:0.394696:0.889716:0.394695:0.889716:0.378197:0.412335:0.378198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.431119:0.394811:0.438671:0.394811:0.438671:0.378343:0.431119:0.378343:0.000000
:@0.433276:0.392671:0.439692:0.392671:0.439692:0.376853:0.433276:0.376853:0.000000
1:@0.438160:0.397973:0.443113:0.397973:0.443113:0.388355:0.438160:0.388355:0.000000
x y:@0.468157:0.394811:0.490215:0.394811:0.490215:0.378342:0.468157:0.378342:0.000000:0.000000:0.000000
c:@0.531404:0.394811:0.538590:0.394811:0.538590:0.378342:0.531404:0.378342:0.000000
x c y:@0.584981:0.394811:0.633318:0.394811:0.633318:0.378342:0.584981:0.378342:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.662736:0.394811:0.670211:0.394811:0.670211:0.378342:0.662736:0.378342:0.000000
:@0.664431:0.395187:0.670846:0.395187:0.670846:0.379369:0.664431:0.379369:0.000000
F:@0.689630:0.394811:0.697182:0.394811:0.697182:0.378342:0.689630:0.378342:0.000000
:@0.691788:0.392671:0.698203:0.392671:0.698203:0.376853:0.691788:0.376853:0.000000
2:@0.696656:0.397973:0.701609:0.397973:0.701609:0.388355:0.696656:0.388355:0.000000
x y:@0.726654:0.394811:0.748713:0.394811:0.748713:0.378342:0.726654:0.378342:0.000000:0.000000:0.000000
c:@0.779403:0.394811:0.786589:0.394811:0.786589:0.378342:0.779403:0.378342:0.000000
x c y:@0.832979:0.394811:0.881008:0.394811:0.881008:0.378342:0.832979:0.378342:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, :@0.404231:0.427127:0.454340:0.427127:0.454340:0.410629:0.404231:0.410629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
||  –  || =    (  +  )  +   ,     ||  –  || =    (  –  )  +   .:@0.458906:0.444477:0.837101:0.444484:0.837101:0.427987:0.458906:0.427980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.468924:0.444593:0.476399:0.444593:0.476399:0.428124:0.468924:0.428124:0.000000
:@0.470619:0.444969:0.477035:0.444969:0.477035:0.429151:0.470619:0.429151:0.000000
F:@0.495818:0.444593:0.503370:0.444593:0.503370:0.428124:0.495818:0.428124:0.000000
:@0.497976:0.442453:0.504391:0.442453:0.504391:0.426635:0.497976:0.426635:0.000000
1:@0.502844:0.447762:0.507797:0.447762:0.507797:0.438144:0.502844:0.438144:0.000000
x c:@0.554516:0.444600:0.588269:0.444600:0.588269:0.428131:0.554516:0.428131:0.000000:0.000000:0.000000
2:@0.594220:0.438132:0.599173:0.438132:0.599173:0.428514:0.594220:0.428514:0.000000
y:@0.618264:0.444600:0.625951:0.444600:0.625951:0.428131:0.618264:0.428131:0.000000
2:@0.625951:0.438132:0.630904:0.438132:0.630904:0.428514:0.625951:0.428514:0.000000
x:@0.668530:0.444600:0.676004:0.444600:0.676004:0.428131:0.668530:0.428131:0.000000
:@0.670225:0.444976:0.676640:0.444976:0.676640:0.429158:0.670225:0.429158:0.000000
F:@0.695424:0.444600:0.702976:0.444600:0.702976:0.428131:0.695424:0.428131:0.000000
:@0.697582:0.442460:0.703997:0.442460:0.703997:0.426642:0.697582:0.426642:0.000000
2:@0.702454:0.447762:0.707407:0.447762:0.707407:0.438144:0.702454:0.438144:0.000000
x c:@0.754124:0.444600:0.787569:0.444600:0.787569:0.428131:0.754124:0.428131:0.000000:0.000000:0.000000
2:@0.793520:0.438132:0.798473:0.438132:0.798473:0.428514:0.793520:0.428514:0.000000
y:@0.817566:0.444600:0.825252:0.444600:0.825252:0.428131:0.817566:0.428131:0.000000
2:@0.825251:0.438132:0.830204:0.438132:0.830204:0.428514:0.825251:0.428514:0.000000
Tenemos la siguiente equivalencia: :@0.404230:0.479186:0.650768:0.479186:0.650768:0.462688:0.404230:0.462688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.478845:0.503780:0.486320:0.503780:0.486320:0.487312:0.478845:0.487312:0.000000
:@0.480540:0.504156:0.486955:0.504156:0.486955:0.488338:0.480540:0.488338:0.000000
 = ( ,  )    (0,  ,  )   ||  –  || + ||  –  || = 2:@0.486955:0.503665:0.808185:0.503664:0.808185:0.487166:0.486955:0.487167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.510074:0.503780:0.532132:0.503780:0.532132:0.487312:0.510074:0.487312:0.000000:0.000000:0.000000
:@0.540294:0.503145:0.554947:0.503145:0.554947:0.489772:0.540294:0.489772:0.000000
E:@0.559089:0.503780:0.567046:0.503780:0.567046:0.487311:0.559089:0.487311:0.000000
:@0.574270:0.501640:0.580686:0.501640:0.580686:0.485822:0.574270:0.485822:0.000000
a b:@0.588450:0.503780:0.613591:0.503780:0.613591:0.487311:0.588450:0.487311:0.000000:0.000000:0.000000
x:@0.653697:0.503780:0.661172:0.503780:0.661172:0.487311:0.653697:0.487311:0.000000
:@0.655392:0.504156:0.661808:0.504156:0.661808:0.488338:0.655392:0.488338:0.000000
F:@0.680591:0.503780:0.688143:0.503780:0.688143:0.487311:0.680591:0.487311:0.000000
:@0.682749:0.501640:0.689164:0.501640:0.689164:0.485822:0.682749:0.485822:0.000000
1:@0.687621:0.506942:0.692575:0.506942:0.692575:0.497324:0.687621:0.497324:0.000000
x:@0.731701:0.503780:0.739176:0.503780:0.739176:0.487311:0.731701:0.487311:0.000000
:@0.733396:0.504156:0.739812:0.504156:0.739812:0.488338:0.733396:0.488338:0.000000
F:@0.758595:0.503780:0.766147:0.503780:0.766147:0.487311:0.758595:0.487311:0.000000
:@0.760753:0.501640:0.767168:0.501640:0.767168:0.485822:0.760753:0.485822:0.000000
2:@0.765626:0.506942:0.770579:0.506942:0.770579:0.497324:0.765626:0.497324:0.000000
a:@0.808185:0.503780:0.817163:0.503780:0.817163:0.487311:0.808185:0.487311:0.000000
   (  +  )  +   +   (  –  )  +    = 2 .:@0.532397:0.528144:0.779458:0.528144:0.779458:0.511646:0.532397:0.511646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.550198:0.528259:0.583951:0.528259:0.583951:0.511791:0.550198:0.511791:0.000000:0.000000:0.000000
2:@0.589903:0.521791:0.594856:0.521791:0.594856:0.512173:0.589903:0.512173:0.000000
y:@0.613949:0.528259:0.621635:0.528259:0.621635:0.511791:0.613949:0.511791:0.000000
2:@0.621634:0.521791:0.626587:0.521791:0.626587:0.512173:0.621634:0.512173:0.000000
x c:@0.659916:0.528259:0.693361:0.528259:0.693361:0.511791:0.659916:0.511791:0.000000:0.000000:0.000000
2:@0.699311:0.521791:0.704264:0.521791:0.704264:0.512173:0.699311:0.512173:0.000000
y:@0.723357:0.528259:0.731044:0.528259:0.731044:0.511791:0.723357:0.511791:0.000000
2:@0.731044:0.521791:0.735997:0.521791:0.735997:0.512173:0.731044:0.512173:0.000000
a:@0.767726:0.528259:0.776703:0.528259:0.776703:0.511791:0.767726:0.511791:0.000000
Para obtener la ecuación cartesiana de la elipse, consideramos la :@0.404229:0.560575:0.895892:0.560575:0.895892:0.544078:0.404229:0.544078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación::@0.404229:0.577926:0.471310:0.577926:0.471310:0.561428:0.404229:0.561428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.442335:0.595392:0.449810:0.595392:0.449810:0.578924:0.442335:0.578924:0.000000
:@0.444031:0.595768:0.450446:0.595768:0.450446:0.579950:0.444031:0.579950:0.000000
 = ( ,  )     tal que   (  +  )  +   +   (  –  )  +    = 2 ,:@0.450446:0.595277:0.853666:0.595284:0.853666:0.578786:0.450446:0.578779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.473564:0.595392:0.495623:0.595392:0.495623:0.578924:0.473564:0.578924:0.000000:0.000000:0.000000
:@0.503792:0.594765:0.518445:0.594765:0.518445:0.581392:0.503792:0.581392:0.000000
:@0.522586:0.594315:0.536496:0.594315:0.536496:0.580868:0.522586:0.580868:0.000000
2:@0.536495:0.588931:0.541448:0.588931:0.541448:0.579312:0.536495:0.579312:0.000000
    :@0.598877:0.595331:0.614504:0.595331:0.614504:0.579343:0.598877:0.579343:0.000000:0.000000:0.000000:0.000000
x c:@0.624406:0.595399:0.658159:0.595399:0.658159:0.578931:0.624406:0.578931:0.000000:0.000000:0.000000
2:@0.664109:0.588931:0.669063:0.588931:0.669063:0.579312:0.664109:0.579312:0.000000
y:@0.688155:0.595399:0.695842:0.595399:0.695842:0.578931:0.688155:0.578931:0.000000
2:@0.695842:0.588931:0.700795:0.588931:0.700795:0.579312:0.695842:0.579312:0.000000
x c:@0.734123:0.595399:0.767567:0.595399:0.767567:0.578931:0.734123:0.578931:0.000000:0.000000:0.000000
2:@0.773519:0.588931:0.778472:0.588931:0.778472:0.579312:0.773519:0.579312:0.000000
y:@0.797563:0.595399:0.805250:0.595399:0.805250:0.578931:0.797563:0.578931:0.000000
2:@0.805250:0.588931:0.810203:0.588931:0.810203:0.579312:0.805250:0.579312:0.000000
a:@0.841934:0.595399:0.850911:0.595399:0.850911:0.578931:0.841934:0.578931:0.000000
de donde    (  +  )  +   = 2:@0.404227:0.627715:0.599623:0.627722:0.599623:0.611224:0.404227:0.611217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.495641:0.627831:0.529393:0.627831:0.529393:0.611362:0.495641:0.611362:0.000000:0.000000:0.000000
2:@0.535350:0.621369:0.540304:0.621369:0.540304:0.611751:0.535350:0.611751:0.000000
y:@0.559394:0.627838:0.567081:0.627838:0.567081:0.611369:0.559394:0.611369:0.000000
2:@0.567081:0.621369:0.572034:0.621369:0.572034:0.611751:0.567081:0.611751:0.000000
a –  x c:@0.599623:0.627838:0.674603:0.627838:0.674603:0.611369:0.599623:0.611369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  (  –  )  +   . Elevando al cuadrado :@0.626922:0.627722:0.882493:0.627722:0.882493:0.611224:0.626922:0.611224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.680554:0.621369:0.685507:0.621369:0.685507:0.611751:0.680554:0.611751:0.000000
y:@0.704597:0.627838:0.712284:0.627838:0.712284:0.611369:0.704597:0.611369:0.000000
2:@0.712284:0.621369:0.717237:0.621369:0.717237:0.611751:0.712284:0.611751:0.000000
ambos miembros, obtenemos: :@0.404235:0.645073:0.624433:0.645073:0.624433:0.628575:0.404235:0.628575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  )  +   = 4  – 4  (  –  )  +   + (  –  )  +  ,:@0.468774:0.677504:0.827228:0.677511:0.827228:0.661013:0.468774:0.661007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.474727:0.677620:0.508480:0.677620:0.508480:0.661151:0.474727:0.661151:0.000000:0.000000:0.000000
2:@0.514432:0.671158:0.519385:0.671158:0.519385:0.661540:0.514432:0.661540:0.000000
y:@0.538476:0.677627:0.546162:0.677627:0.546162:0.661158:0.538476:0.661158:0.000000
2:@0.546162:0.671158:0.551116:0.671158:0.551116:0.661540:0.546162:0.661540:0.000000
a:@0.578702:0.677627:0.587680:0.677627:0.587680:0.661158:0.578702:0.661158:0.000000
2:@0.587680:0.671158:0.592633:0.671158:0.592633:0.661540:0.587680:0.661540:0.000000
a   x c:@0.619913:0.677627:0.680714:0.677627:0.680714:0.661158:0.619913:0.661158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.686665:0.671158:0.691618:0.671158:0.691618:0.661540:0.686665:0.661540:0.000000
y:@0.710710:0.677627:0.718397:0.677627:0.718397:0.661158:0.710710:0.661158:0.000000
2:@0.718396:0.671158:0.723349:0.671158:0.723349:0.661540:0.718396:0.661540:0.000000
x c:@0.748394:0.677627:0.781839:0.677627:0.781839:0.661158:0.748394:0.661158:0.000000:0.000000:0.000000
2:@0.787791:0.671158:0.792744:0.671158:0.792744:0.661540:0.787791:0.661540:0.000000
y:@0.811835:0.677627:0.819521:0.677627:0.819521:0.661158:0.811835:0.661158:0.000000
2:@0.819521:0.671158:0.824475:0.671158:0.824475:0.661540:0.819521:0.661540:0.000000
x:@0.433485:0.694978:0.440960:0.694978:0.440960:0.678509:0.433485:0.678509:0.000000
2:@0.440952:0.688509:0.445906:0.688509:0.445906:0.678891:0.440952:0.678891:0.000000
 + 2  +   +   = 4  – 4  (  –  )  +   +   – 2 +   +  ,:@0.445906:0.694862:0.862524:0.694862:0.862524:0.678364:0.445906:0.678364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cx c:@0.473494:0.694978:0.514433:0.694978:0.514433:0.678509:0.473494:0.678509:0.000000:0.000000:0.000000:0.000000
2:@0.514432:0.688509:0.519385:0.688509:0.519385:0.678891:0.514432:0.678891:0.000000
y:@0.538476:0.694978:0.546162:0.694978:0.546162:0.678509:0.538476:0.678509:0.000000
2:@0.546162:0.688509:0.551116:0.688509:0.551116:0.678891:0.546162:0.678891:0.000000
a:@0.578702:0.694978:0.587680:0.694978:0.587680:0.678509:0.578702:0.678509:0.000000
2:@0.587680:0.688509:0.592633:0.688509:0.592633:0.678891:0.587680:0.678891:0.000000
a   x c:@0.619913:0.694978:0.680714:0.694978:0.680714:0.678509:0.619913:0.678509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.686665:0.688509:0.691618:0.688509:0.691618:0.678891:0.686665:0.678891:0.000000
y:@0.710710:0.694978:0.718397:0.694978:0.718397:0.678509:0.710710:0.678509:0.000000
2:@0.718396:0.688509:0.723349:0.688509:0.723349:0.678891:0.718396:0.678891:0.000000
x:@0.742441:0.694978:0.749916:0.694978:0.749916:0.678509:0.742441:0.678509:0.000000
2:@0.749915:0.688509:0.754868:0.688509:0.754868:0.678891:0.749915:0.678891:0.000000
cx  c:@0.782148:0.694978:0.823087:0.694978:0.823087:0.678509:0.782148:0.678509:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.823085:0.688509:0.828038:0.688509:0.828038:0.678891:0.823085:0.678891:0.000000
y:@0.847130:0.694978:0.854817:0.694978:0.854817:0.678509:0.847130:0.678509:0.000000
2:@0.854817:0.688509:0.859770:0.688509:0.859770:0.678891:0.854817:0.678891:0.000000
y luego de simplificar   +   +  , se deducen las igualdades siguientes: :@0.404242:0.727293:0.895911:0.727300:0.895911:0.710803:0.404242:0.710796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.556245:0.727409:0.563720:0.727409:0.563720:0.710940:0.556245:0.710940:0.000000
2:@0.563712:0.720947:0.568665:0.720947:0.568665:0.711329:0.563712:0.711329:0.000000
y:@0.586448:0.727416:0.594135:0.727416:0.594135:0.710947:0.586448:0.710947:0.000000
2:@0.594135:0.720947:0.599088:0.720947:0.599088:0.711329:0.594135:0.711329:0.000000
c:@0.616870:0.727416:0.624056:0.727416:0.624056:0.710947:0.616870:0.710947:0.000000
2:@0.624058:0.720947:0.629011:0.720947:0.629011:0.711329:0.624058:0.711329:0.000000
2  = 4  – 4  (  –  )  +   – 2:@0.527848:0.759732:0.750523:0.759739:0.750523:0.743241:0.527848:0.743234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cx:@0.536344:0.759847:0.551005:0.759847:0.551005:0.743379:0.536344:0.743379:0.000000:0.000000
a:@0.578593:0.759847:0.587570:0.759847:0.587570:0.743379:0.578593:0.743379:0.000000
2:@0.587574:0.753386:0.592528:0.753386:0.592528:0.743767:0.587574:0.743767:0.000000
a   x c:@0.619806:0.759854:0.680607:0.759854:0.680607:0.743385:0.619806:0.743385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.686559:0.753386:0.691512:0.753386:0.691512:0.743767:0.686559:0.743767:0.000000
y:@0.710603:0.759854:0.718290:0.759854:0.718290:0.743385:0.710603:0.743385:0.000000
2:@0.718290:0.753386:0.723243:0.753386:0.723243:0.743767:0.718290:0.743767:0.000000
cx,:@0.750523:0.759854:0.768149:0.759854:0.768149:0.743385:0.750523:0.743385:0.000000:0.000000:0.000000
4 – 4  = – 4  (  –  )  +   :@0.539492:0.777089:0.753662:0.777089:0.753662:0.760592:0.539492:0.760592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cx :@0.547988:0.777205:0.566791:0.777205:0.566791:0.760736:0.547988:0.760736:0.000000:0.000000:0.000000
a:@0.589928:0.777205:0.598906:0.777205:0.598906:0.760736:0.589928:0.760736:0.000000
2:@0.598902:0.770736:0.603856:0.770736:0.603856:0.761118:0.598902:0.761118:0.000000
a   x c:@0.646084:0.777205:0.706885:0.777205:0.706885:0.760736:0.646084:0.760736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.712835:0.770736:0.717789:0.770736:0.717789:0.761118:0.712835:0.761118:0.000000
y ,:@0.736881:0.777205:0.756513:0.777205:0.756513:0.760736:0.736881:0.760736:0.000000:0.000000:0.000000
2:@0.744568:0.770736:0.749521:0.770736:0.749521:0.761118:0.744568:0.761118:0.000000
a:@0.554093:0.801684:0.563071:0.801684:0.563071:0.785215:0.554093:0.785215:0.000000
 –        = –    (  –  )  +   :@0.563071:0.801568:0.739049:0.801568:0.739049:0.785070:0.563071:0.785071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.658819:0.801684:0.692263:0.801684:0.692263:0.785215:0.658819:0.785215:0.000000:0.000000:0.000000
2:@0.698222:0.795215:0.703176:0.795215:0.703176:0.785597:0.698222:0.785597:0.000000
y .:@0.722268:0.801683:0.741900:0.801683:0.741900:0.785215:0.722268:0.785215:0.000000:0.000000:0.000000
2:@0.729955:0.795215:0.734908:0.795215:0.734908:0.785597:0.729955:0.785597:0.000000
 :@0.404238:0.818918:0.408380:0.818918:0.408380:0.802421:0.404238:0.802421:0.000000
Nuevamente, elevamos al cuadrado en ambos miembros de esta  :@0.404238:0.836269:0.895906:0.836269:0.895906:0.819772:0.404238:0.819772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
última igualdad::@0.404238:0.853620:0.517441:0.853620:0.517441:0.837122:0.404238:0.837122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404238:0.878099:0.408380:0.878099:0.408380:0.861601:0.404238:0.861601:0.000000
a:@0.549402:0.878215:0.558379:0.878215:0.558379:0.861746:0.549402:0.861746:0.000000
 –         = (  –  )  +  ,:@0.558379:0.878099:0.710027:0.878098:0.710027:0.861601:0.558379:0.861601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.631202:0.878215:0.664646:0.878215:0.664646:0.861746:0.631202:0.861746:0.000000:0.000000:0.000000
2:@0.670588:0.871747:0.675541:0.871747:0.675541:0.862129:0.670588:0.862129:0.000000
y:@0.694633:0.878214:0.702320:0.878214:0.702320:0.861745:0.694633:0.861745:0.000000
2:@0.702318:0.871747:0.707271:0.871747:0.707271:0.862129:0.702318:0.862129:0.000000
 :@0.404229:0.913263:0.408372:0.913263:0.408372:0.896765:0.404229:0.896765:0.000000
a:@0.498051:0.913378:0.507029:0.913378:0.507029:0.896909:0.498051:0.896909:0.000000
2:@0.507027:0.906917:0.511980:0.906917:0.511980:0.897299:0.507027:0.897299:0.000000
 – 2  +          =   – 2  +   +  ,:@0.511979:0.913270:0.745323:0.913270:0.745323:0.896772:0.511979:0.896772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cx:@0.539259:0.913386:0.553920:0.913386:0.553920:0.896917:0.539259:0.896917:0.000000:0.000000
x:@0.625240:0.913386:0.632715:0.913386:0.632715:0.896917:0.625240:0.896917:0.000000
2:@0.632712:0.906917:0.637665:0.906917:0.637665:0.897299:0.632712:0.897299:0.000000
cx c:@0.664945:0.913386:0.705884:0.913386:0.705884:0.896917:0.664945:0.896917:0.000000:0.000000:0.000000:0.000000
2:@0.705883:0.906917:0.710836:0.906917:0.710836:0.897299:0.705883:0.897299:0.000000
y:@0.729927:0.913386:0.737614:0.913386:0.737614:0.896917:0.729927:0.896917:0.000000
2:@0.737614:0.906917:0.742567:0.906917:0.742567:0.897299:0.737614:0.897299:0.000000
cx:@0.591483:0.794251:0.606144:0.794251:0.606144:0.777783:0.591483:0.777783:0.000000:0.000000
a:@0.594315:0.810590:0.603292:0.810590:0.603292:0.794121:0.594315:0.794121:0.000000
cx:@0.577922:0.870625:0.592583:0.870625:0.592583:0.854156:0.577922:0.854156:0.000000:0.000000
a:@0.580754:0.886964:0.589731:0.886964:0.589731:0.870495:0.580754:0.870495:0.000000
c x:@0.573529:0.905704:0.593143:0.905704:0.593143:0.889235:0.573529:0.889235:0.000000:0.000000:0.000000
2 2:@0.580714:0.899235:0.598096:0.899235:0.598096:0.889617:0.580714:0.889617:0.000000:0.000000:0.000000
a:@0.578846:0.922048:0.587824:0.922048:0.587824:0.905580:0.578846:0.905580:0.000000
2:@0.587824:0.915580:0.592777:0.915580:0.592777:0.905962:0.587824:0.905962:0.000000
2:@0.601450:0.864158:0.606404:0.864158:0.606404:0.854539:0.601450:0.854539:0.000000
Saberes previos:@0.197971:0.101454:0.306130:0.101454:0.306130:0.085981:0.197971:0.085981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es una elipse?:@0.198208:0.130082:0.322781:0.130082:0.322781:0.115019:0.198208:0.115019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.197971:0.177234:0.361818:0.177234:0.361818:0.161761:0.197971:0.161761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Además de la circun-:@0.198208:0.205861:0.335251:0.205861:0.335251:0.190798:0.198208:0.190798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ferencia, ¿qué otras curvas :@0.151665:0.221703:0.324099:0.221703:0.324099:0.206640:0.151665:0.206640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reconoces? :@0.151665:0.237545:0.226896:0.237545:0.226896:0.222482:0.151665:0.222482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199644:0.737535:0.297267:0.737535:0.297267:0.722062:0.199644:0.722062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.199644:0.750103:0.311603:0.750103:0.311603:0.734630:0.199644:0.734630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la siguiente :@0.193071:0.774577:0.329536:0.774577:0.329536:0.759514:0.193071:0.759514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simbología matemática::@0.153335:0.790419:0.308107:0.790419:0.308107:0.775356:0.153335:0.775356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.153335:0.814037:0.160423:0.814037:0.160423:0.798340:0.153335:0.798340:0.000000
 :@0.160432:0.812268:0.162953:0.812268:0.162953:0.802226:0.160432:0.802226:0.000000
A la elipse de centro 0 y de :@0.169964:0.813390:0.347621:0.813390:0.347621:0.798327:0.169964:0.798327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.306179:0.811542:0.312037:0.811542:0.312037:0.797100:0.306179:0.797100:0.000000
eje transverso al eje   se la :@0.169962:0.829232:0.340691:0.829232:0.340691:0.814169:0.169962:0.814169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.298580:0.829338:0.305405:0.829338:0.305405:0.814301:0.298580:0.814301:0.000000
denota con  (0,  ,  ).:@0.169962:0.845074:0.306475:0.845074:0.306475:0.830011:0.169962:0.830011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.248766:0.845180:0.256030:0.845180:0.256030:0.830144:0.248766:0.830144:0.000000
:@0.262626:0.843226:0.268483:0.843226:0.268483:0.828784:0.262626:0.828784:0.000000
a b:@0.275571:0.845180:0.298525:0.845180:0.298525:0.830144:0.275571:0.830144:0.000000:0.000000:0.000000
 :@0.153336:0.868045:0.157118:0.868045:0.157118:0.852982:0.153336:0.852982:0.000000
x:@0.169964:0.868149:0.176789:0.868149:0.176789:0.853113:0.169964:0.853113:0.000000
:@0.171512:0.868492:0.177369:0.868492:0.177369:0.854050:0.171512:0.854050:0.000000
 ≠ ( ,  )    (0,  ,  ) :@0.177369:0.868044:0.302208:0.868044:0.302208:0.852981:0.177369:0.852981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.198476:0.868149:0.218616:0.868149:0.218616:0.853113:0.198476:0.853113:0.000000:0.000000:0.000000
:@0.226071:0.867570:0.239449:0.867570:0.239449:0.855360:0.226071:0.855360:0.000000
E:@0.243231:0.868149:0.250496:0.868149:0.250496:0.853113:0.243231:0.853113:0.000000
:@0.257091:0.866195:0.262949:0.866195:0.262949:0.851754:0.257091:0.851754:0.000000
a b:@0.270037:0.868149:0.292991:0.868149:0.292991:0.853113:0.270037:0.853113:0.000000:0.000000:0.000000
⇔:@0.302206:0.867455:0.319737:0.867455:0.319737:0.851987:0.302206:0.851987:0.000000
         +         = 1.:@0.153344:0.894576:0.264261:0.894576:0.264261:0.879514:0.153344:0.879514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.174150:0.888902:0.181625:0.888902:0.181625:0.872434:0.174150:0.872434:0.000000
a:@0.173399:0.905241:0.182377:0.905241:0.182377:0.888772:0.173399:0.888772:0.000000
y:@0.217601:0.888902:0.225288:0.888902:0.225288:0.872434:0.217601:0.872434:0.000000
b:@0.216811:0.905241:0.226078:0.905241:0.226078:0.888772:0.216811:0.888772:0.000000
2:@0.189499:0.879946:0.194021:0.879946:0.194021:0.871164:0.189499:0.871164:0.000000
2:@0.233060:0.879946:0.237582:0.879946:0.237582:0.871164:0.233060:0.871164:0.000000
Competencia :@0.199644:0.417271:0.297267:0.417271:0.297267:0.401799:0.199644:0.401799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.199644:0.429839:0.311603:0.429839:0.311603:0.414367:0.199644:0.414367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende este sinónimo::@0.193071:0.454313:0.347245:0.454313:0.347245:0.439249:0.193071:0.439249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A la ecuación cartesiana de la :@0.153335:0.477283:0.347949:0.477283:0.347949:0.462220:0.153335:0.462220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elipse:@0.153335:0.493125:0.189658:0.493125:0.189658:0.478062:0.153335:0.478062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.153343:0.516200:0.160168:0.516200:0.160168:0.501163:0.153343:0.501163:0.000000
:@0.154539:0.516543:0.160396:0.516543:0.160396:0.502101:0.154539:0.502101:0.000000
 = ( ,  )     tal que:@0.160045:0.516094:0.287557:0.516095:0.287557:0.501032:0.160045:0.501031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.181505:0.516200:0.200590:0.516200:0.200590:0.501163:0.181505:0.501163:0.000000:0.000000:0.000000
:@0.208751:0.515622:0.222129:0.515622:0.222129:0.503411:0.208751:0.503411:0.000000
:@0.225237:0.515103:0.237384:0.515103:0.237384:0.503359:0.225237:0.503359:0.000000
2:@0.237047:0.510294:0.241570:0.510294:0.241570:0.501513:0.237047:0.501513:0.000000
x:@0.216908:0.536266:0.223732:0.536266:0.223732:0.521229:0.216908:0.521229:0.000000
a:@0.216222:0.551184:0.224418:0.551184:0.224418:0.536147:0.216222:0.536147:0.000000
2:@0.231876:0.530844:0.236398:0.530844:0.236398:0.522062:0.231876:0.522062:0.000000
 + :@0.236550:0.541371:0.253278:0.541371:0.253278:0.526307:0.236550:0.526307:0.000000:0.000000:0.000000
y:@0.259537:0.536266:0.266556:0.536266:0.266556:0.521229:0.259537:0.521229:0.000000
b:@0.258816:0.551184:0.267277:0.551184:0.267277:0.536147:0.258816:0.536147:0.000000
2:@0.273668:0.530844:0.278190:0.530844:0.278190:0.522062:0.273668:0.522062:0.000000
 = 1.:@0.278342:0.541371:0.304639:0.541371:0.304639:0.526307:0.278342:0.526307:0.000000:0.000000:0.000000:0.000000:0.000000
se la conoce como ecuación :@0.153343:0.564341:0.341115:0.564341:0.341115:0.549277:0.153343:0.549277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
canónica.:@0.153343:0.580183:0.215154:0.580183:0.215154:0.565119:0.153343:0.565119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000