﻿78:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000
Ecuación cartesiana de la circunferencia:@0.404235:0.120539:0.889317:0.120539:0.889317:0.075879:0.404235:0.075879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.16. Describir la circunferencia como lugares geométricos en el plano.  :@0.143988:0.936190:0.467991:0.936190:0.467991:0.926148:0.143988:0.926148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.17. Escribir y reconocer las ecuaciones cartesianas de la circunferencia con centro en el origen y con centro fuera del origen para resolver y plantear problemas (por :@0.143988:0.944991:0.894204:0.944991:0.894204:0.934949:0.143988:0.934949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, en física: órbitas planetarias, tiro parabólico, etc.), identificando la validez y pertinencia de los resultados obtenidos.:@0.143988:0.953792:0.676721:0.953792:0.676721:0.943750:0.143988:0.943750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Circunferencia:@0.404236:0.147225:0.521715:0.147225:0.521715:0.129542:0.404236:0.129542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ( ,  ),   = ( ,  )    . Entonces,:@0.404236:0.163931:0.673333:0.163931:0.673333:0.147434:0.404236:0.147434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a b x:@0.442035:0.164047:0.503549:0.164047:0.503549:0.147578:0.442035:0.147578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.443788:0.164423:0.450203:0.164423:0.450203:0.148605:0.443788:0.148605:0.000000
:@0.497769:0.164423:0.504184:0.164423:0.504184:0.148605:0.497769:0.148605:0.000000
x y:@0.529229:0.164047:0.551288:0.164047:0.551288:0.147578:0.529229:0.147578:0.000000:0.000000:0.000000
:@0.561379:0.163413:0.576031:0.163413:0.576031:0.150039:0.561379:0.150039:0.000000
:@0.580173:0.162844:0.593478:0.162844:0.593478:0.149982:0.580173:0.149982:0.000000
2:@0.593478:0.157580:0.598431:0.157580:0.598431:0.147961:0.593478:0.147961:0.000000
x:@0.519250:0.188526:0.526725:0.188526:0.526725:0.172057:0.519250:0.172057:0.000000
:@0.520945:0.188902:0.527360:0.188902:0.527360:0.173084:0.520945:0.173084:0.000000
 –   = ( ,  ) – ( ,  ) = (  –  ,   –  ).:@0.527360:0.188410:0.776749:0.188410:0.776749:0.171913:0.527360:0.171913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.546144:0.188526:0.555122:0.188526:0.555122:0.172057:0.546144:0.172057:0.000000
:@0.547897:0.188902:0.554313:0.188902:0.554313:0.173084:0.547897:0.173084:0.000000
x y:@0.581284:0.188526:0.603343:0.188526:0.603343:0.172057:0.581284:0.172057:0.000000:0.000000:0.000000
a b:@0.634032:0.188526:0.659173:0.188526:0.659173:0.172057:0.634032:0.172057:0.000000:0.000000:0.000000
x a y b:@0.690171:0.188526:0.768041:0.188526:0.768041:0.172057:0.690171:0.172057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La distancia del vector   al vector   se denota  ( ,  ) y se define como: :@0.404236:0.218586:0.895922:0.218586:0.895922:0.202089:0.404236:0.202089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.562308:0.218702:0.569783:0.218702:0.569783:0.202233:0.562308:0.202233:0.000000
:@0.563907:0.219078:0.570322:0.219078:0.570322:0.203260:0.563907:0.203260:0.000000
a:@0.637230:0.218702:0.646208:0.218702:0.646208:0.202233:0.637230:0.202233:0.000000
:@0.638887:0.219078:0.645302:0.219078:0.645302:0.203260:0.638887:0.203260:0.000000
d x a:@0.722516:0.218702:0.760509:0.218702:0.760509:0.202233:0.722516:0.202233:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.739047:0.219078:0.759603:0.219078:0.759603:0.203260:0.739047:0.203260:0.000000:0.000000:0.000000
d x a:@0.507845:0.250381:0.546953:0.250381:0.546953:0.233913:0.507845:0.233913:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) = ||  –  || =   (  –  )  + (  –  )  .:@0.517015:0.250266:0.788176:0.250270:0.788176:0.233772:0.517015:0.233768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.524663:0.250757:0.546144:0.250757:0.546144:0.234939:0.524663:0.234939:0.000000:0.000000:0.000000
x:@0.583133:0.250381:0.590608:0.250381:0.590608:0.233913:0.583133:0.233913:0.000000
:@0.584829:0.250757:0.591244:0.250757:0.591244:0.234939:0.584829:0.234939:0.000000
a:@0.610028:0.250381:0.619005:0.250381:0.619005:0.233913:0.610028:0.233913:0.000000
:@0.611781:0.250757:0.618196:0.250757:0.618196:0.234939:0.611781:0.234939:0.000000
x a:@0.663469:0.250381:0.698706:0.250381:0.698706:0.233913:0.663469:0.233913:0.000000:0.000000:0.000000
2:@0.704640:0.243917:0.709593:0.243917:0.709593:0.234299:0.704640:0.234299:0.000000
y b:@0.734637:0.250386:0.770374:0.250386:0.770374:0.233917:0.734637:0.233917:0.000000:0.000000:0.000000
2:@0.776325:0.243917:0.781279:0.243917:0.781279:0.234299:0.776325:0.234299:0.000000
Definición:@0.404239:0.285434:0.484322:0.285434:0.484322:0.268488:0.404239:0.268488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean   = ( ,  )    ,   > 0.:@0.484324:0.284972:0.679711:0.284972:0.679711:0.268474:0.484324:0.268474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.529020:0.285087:0.537997:0.285087:0.537997:0.268619:0.529020:0.268619:0.000000
:@0.530773:0.285463:0.537188:0.285463:0.537188:0.269645:0.530773:0.269645:0.000000
a b:@0.564160:0.285087:0.589301:0.285087:0.589301:0.268619:0.564160:0.268619:0.000000:0.000000:0.000000
:@0.599388:0.284453:0.614041:0.284453:0.614041:0.271080:0.599388:0.271080:0.000000
:@0.618183:0.283885:0.631487:0.283885:0.631487:0.271023:0.618183:0.271023:0.000000
2:@0.631487:0.278619:0.636441:0.278619:0.636441:0.269001:0.631487:0.269001:0.000000
r:@0.643338:0.285087:0.649368:0.285087:0.649368:0.268619:0.643338:0.268619:0.000000
i.:@0.404237:0.302539:0.411847:0.302539:0.411847:0.285825:0.404237:0.285825:0.000000:0.000000
  Al círculo cerrado de centro   y radio   se denota  ( ,  ) y se :@0.411847:0.302322:0.895906:0.302322:0.895906:0.285825:0.411847:0.285825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.643049:0.302438:0.652027:0.302438:0.652027:0.285969:0.643049:0.285969:0.000000
:@0.644802:0.302814:0.651218:0.302814:0.651218:0.286996:0.644802:0.286996:0.000000
r:@0.717741:0.302438:0.723771:0.302438:0.723771:0.285969:0.717741:0.285969:0.000000
B a r:@0.809405:0.302438:0.850093:0.302438:0.850093:0.285969:0.809405:0.285969:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.826300:0.302814:0.832716:0.302814:0.832716:0.286996:0.826300:0.286996:0.000000
 :@0.891764:0.302322:0.895906:0.302322:0.895906:0.285825:0.891764:0.285825:0.000000
define como el conjunto::@0.427972:0.319673:0.606694:0.319673:0.606694:0.303176:0.427972:0.303176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404237:0.340581:0.408379:0.340581:0.408379:0.324083:0.404237:0.324083:0.000000
B a r:@0.427972:0.340697:0.466136:0.340697:0.466136:0.324228:0.427972:0.324228:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) = {  = ( ,  )     | ||  –  || ≤  }.:@0.437161:0.340581:0.702684:0.340587:0.702684:0.324089:0.437161:0.324083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.444867:0.341072:0.451283:0.341072:0.451283:0.325254:0.444867:0.325254:0.000000
x:@0.497038:0.340697:0.504513:0.340697:0.504513:0.324228:0.497038:0.324228:0.000000
:@0.498733:0.341072:0.505148:0.341072:0.505148:0.325254:0.498733:0.325254:0.000000
x y:@0.529423:0.340697:0.551481:0.340697:0.551481:0.324228:0.529423:0.324228:0.000000:0.000000:0.000000
:@0.561580:0.340068:0.576232:0.340068:0.576232:0.326695:0.561580:0.326695:0.000000
:@0.580374:0.339500:0.593679:0.339500:0.593679:0.326638:0.580374:0.326638:0.000000
2:@0.593679:0.334235:0.598632:0.334235:0.598632:0.324617:0.593679:0.324617:0.000000
x:@0.621944:0.340703:0.629419:0.340703:0.629419:0.324234:0.621944:0.324234:0.000000
:@0.623639:0.341079:0.630054:0.341079:0.630054:0.325261:0.623639:0.325261:0.000000
a:@0.648838:0.340703:0.657816:0.340703:0.657816:0.324234:0.648838:0.324234:0.000000
:@0.650591:0.341079:0.657006:0.341079:0.657006:0.325261:0.650591:0.325261:0.000000
r:@0.688043:0.340703:0.694073:0.340703:0.694073:0.324234:0.688043:0.324234:0.000000
ii.:@0.404246:0.375506:0.416114:0.375506:0.416114:0.358791:0.404246:0.358791:0.000000:0.000000:0.000000
  La circunferencia de centro   y radio   se le denota  ( ,  ) y el :@0.416114:0.375289:0.895896:0.375289:0.895896:0.358791:0.416114:0.358791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.631576:0.375404:0.640554:0.375404:0.640554:0.358936:0.631576:0.358936:0.000000
:@0.633349:0.375780:0.639764:0.375780:0.639764:0.359962:0.633349:0.359962:0.000000
r:@0.704726:0.375404:0.710756:0.375404:0.710756:0.358936:0.704726:0.358936:0.000000
C a r:@0.812955:0.375404:0.853994:0.375404:0.853994:0.358936:0.812955:0.358936:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.830721:0.375780:0.837137:0.375780:0.837137:0.359962:0.830721:0.359962:0.000000
conjunto es definido como sigue: :@0.427962:0.392639:0.668564:0.392639:0.668564:0.376142:0.427962:0.376142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404227:0.413547:0.408369:0.413547:0.408369:0.397049:0.404227:0.397049:0.000000
C a r:@0.427962:0.413663:0.466974:0.413663:0.466974:0.397194:0.427962:0.397194:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) = {  = ( ,  )     | ||  –  || =  }.:@0.437999:0.413547:0.703532:0.413555:0.703532:0.397057:0.437999:0.397049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.445705:0.414039:0.452120:0.414039:0.452120:0.398221:0.445705:0.398221:0.000000
x:@0.497875:0.413663:0.505350:0.413663:0.505350:0.397194:0.497875:0.397194:0.000000
:@0.499571:0.414039:0.505986:0.414039:0.505986:0.398221:0.499571:0.398221:0.000000
x y:@0.530260:0.413663:0.552319:0.413663:0.552319:0.397194:0.530260:0.397194:0.000000:0.000000:0.000000
:@0.562427:0.413036:0.577080:0.413036:0.577080:0.399663:0.562427:0.399663:0.000000
:@0.581222:0.412468:0.594527:0.412468:0.594527:0.399605:0.581222:0.399605:0.000000
2:@0.594527:0.407203:0.599480:0.407203:0.599480:0.397585:0.594527:0.397585:0.000000
x:@0.622791:0.413670:0.630266:0.413670:0.630266:0.397201:0.622791:0.397201:0.000000
:@0.624487:0.414046:0.630902:0.414046:0.630902:0.398228:0.624487:0.398228:0.000000
a:@0.649686:0.413670:0.658663:0.413670:0.658663:0.397201:0.649686:0.397201:0.000000
:@0.651439:0.414046:0.657854:0.414046:0.657854:0.398228:0.651439:0.398228:0.000000
r:@0.688890:0.413670:0.694920:0.413670:0.694920:0.397201:0.688890:0.397201:0.000000
El conjunto  ( ,  ) se denomina también disco cerrado de centro   y :@0.404246:0.448256:0.895934:0.448256:0.895934:0.431758:0.404246:0.431758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B a r:@0.489900:0.448372:0.528026:0.448372:0.528026:0.431903:0.489900:0.431903:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.506795:0.448748:0.513211:0.448748:0.513211:0.432930:0.506795:0.432930:0.000000
a:@0.869787:0.448372:0.878765:0.448372:0.878765:0.431903:0.869787:0.431903:0.000000
:@0.871525:0.448748:0.877940:0.448748:0.877940:0.432930:0.871525:0.432930:0.000000
radio  . Al conjunto  ( ,  ) se llama disco abierto o círculo abierto de :@0.404246:0.465607:0.895928:0.465607:0.895928:0.449109:0.404246:0.449109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.445262:0.465723:0.451292:0.465723:0.451292:0.449254:0.445262:0.449254:0.000000
B a r:@0.547753:0.465723:0.586014:0.465723:0.586014:0.449254:0.547753:0.449254:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.564649:0.466098:0.571064:0.466098:0.571064:0.450280:0.564649:0.450280:0.000000
centro   y radio   > 0.:@0.404246:0.482958:0.557923:0.482958:0.557923:0.466460:0.404246:0.466460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.454432:0.483073:0.463410:0.483073:0.463410:0.466605:0.454432:0.466605:0.000000
:@0.456185:0.483449:0.462601:0.483449:0.462601:0.467631:0.456185:0.467631:0.000000
r:@0.521551:0.483073:0.527581:0.483073:0.527581:0.466605:0.521551:0.466605:0.000000
De la definición de los conjuntos  ( ,  ) y  ( ,  ) se tiene::@0.404246:0.517659:0.808198:0.517659:0.808198:0.501161:0.404246:0.501161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B a r:@0.641841:0.517775:0.680009:0.517775:0.680009:0.501306:0.641841:0.501306:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.658740:0.518151:0.665156:0.518151:0.665156:0.502333:0.658740:0.502333:0.000000
C a r:@0.702068:0.517775:0.741080:0.517775:0.741080:0.501306:0.702068:0.501306:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.719811:0.518151:0.726226:0.518151:0.726226:0.502333:0.719811:0.502333:0.000000
B a r:@0.404246:0.538682:0.441544:0.538682:0.441544:0.522214:0.404246:0.522214:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )    ,  ( ,  )    . Además,  ( ,  )    ( ,  ), más precisamente :@0.413436:0.538567:0.895940:0.538574:0.895940:0.522077:0.413436:0.522069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.421142:0.539058:0.427557:0.539058:0.427557:0.523240:0.421142:0.523240:0.000000
:@0.450748:0.538207:0.466098:0.538207:0.466098:0.524196:0.450748:0.524196:0.000000
:@0.469366:0.537487:0.482671:0.537487:0.482671:0.524625:0.469366:0.524625:0.000000
2:@0.482671:0.532221:0.487624:0.532221:0.487624:0.522603:0.482671:0.522603:0.000000
C a r:@0.493655:0.538690:0.531800:0.538690:0.531800:0.522221:0.493655:0.522221:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.511398:0.539066:0.517813:0.539066:0.517813:0.523248:0.511398:0.523248:0.000000
:@0.541008:0.538207:0.556358:0.538207:0.556358:0.524196:0.541008:0.524196:0.000000
:@0.559626:0.537487:0.572931:0.537487:0.572931:0.524625:0.559626:0.524625:0.000000
2:@0.572931:0.532221:0.577884:0.532221:0.577884:0.522603:0.572931:0.522603:0.000000
C a r:@0.648777:0.538690:0.686905:0.538690:0.686905:0.522221:0.648777:0.522221:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.666503:0.539066:0.672919:0.539066:0.672919:0.523248:0.666503:0.523248:0.000000
:@0.696125:0.538207:0.711475:0.538207:0.711475:0.524196:0.696125:0.524196:0.000000
B a r:@0.714750:0.538690:0.752048:0.538690:0.752048:0.522221:0.714750:0.522221:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.731646:0.539066:0.738061:0.539066:0.738061:0.523248:0.731646:0.523248:0.000000
 :@0.891798:0.538574:0.895940:0.538574:0.895940:0.522077:0.891798:0.522077:0.000000
C a r:@0.404252:0.559598:0.443264:0.559598:0.443264:0.543129:0.404252:0.543129:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ), es la frontera de  ( ,  ), y  ( ,  )    ( ,  ).:@0.414289:0.559482:0.750940:0.559488:0.750940:0.542991:0.414289:0.542984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.421995:0.559974:0.428411:0.559974:0.428411:0.544155:0.421995:0.544155:0.000000
B a r:@0.573363:0.559598:0.611527:0.559598:0.611527:0.543129:0.573363:0.543129:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.590258:0.559974:0.596673:0.559974:0.596673:0.544155:0.590258:0.544155:0.000000
B a r:@0.636341:0.559598:0.674505:0.559598:0.674505:0.543129:0.636341:0.543129:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.653236:0.559974:0.659652:0.559974:0.659652:0.544155:0.653236:0.544155:0.000000
:@0.684577:0.559120:0.699928:0.559120:0.699928:0.545110:0.684577:0.545110:0.000000
B a r:@0.704068:0.559604:0.742233:0.559604:0.742233:0.543135:0.704068:0.543135:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.720964:0.559980:0.727379:0.559980:0.727379:0.544162:0.720964:0.544162:0.000000
En lo sucesivo prestaremos mayor atención al conjunto  ( ,  ). Se :@0.404243:0.594190:0.895909:0.594190:0.895909:0.577692:0.404243:0.577692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C a r:@0.818827:0.594305:0.860232:0.594305:0.860232:0.577837:0.818827:0.577837:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.836613:0.594681:0.843028:0.594681:0.843028:0.578863:0.836613:0.578863:0.000000
tienen la siguientes equivalencias::@0.404243:0.611541:0.639797:0.611541:0.639797:0.595043:0.404243:0.595043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.529351:0.646358:0.536826:0.646358:0.536826:0.629889:0.529351:0.629889:0.000000
:@0.531047:0.646734:0.537462:0.646734:0.537462:0.630916:0.531047:0.630916:0.000000
 = ( ,  )    ( ,  )   ||  –  || =  ,:@0.537462:0.646242:0.766671:0.646242:0.766671:0.629744:0.537462:0.629744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.561736:0.646358:0.583795:0.646358:0.583795:0.629889:0.561736:0.629889:0.000000:0.000000:0.000000
:@0.593875:0.645723:0.608527:0.645723:0.608527:0.632350:0.593875:0.632350:0.000000
C a r:@0.612669:0.646358:0.651681:0.646358:0.651681:0.629889:0.612669:0.629889:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.630412:0.646734:0.636827:0.646734:0.636827:0.630916:0.630412:0.630916:0.000000
x:@0.691787:0.646358:0.699262:0.646358:0.699262:0.629889:0.691787:0.629889:0.000000
:@0.693482:0.646734:0.699898:0.646734:0.699898:0.630916:0.693482:0.630916:0.000000
a:@0.718681:0.646358:0.727659:0.646358:0.727659:0.629889:0.718681:0.629889:0.000000
:@0.720434:0.646734:0.726850:0.646734:0.726850:0.630916:0.720434:0.630916:0.000000
r:@0.757886:0.646358:0.763916:0.646358:0.763916:0.629889:0.757886:0.629889:0.000000
x:@0.529342:0.663708:0.536817:0.663708:0.536817:0.647240:0.529342:0.647240:0.000000
:@0.531038:0.664084:0.537453:0.664084:0.537453:0.648266:0.531038:0.648266:0.000000
 = ( ,  )    ( ,  )   ||  –  || ≠  ,:@0.537453:0.663593:0.766671:0.663593:0.766671:0.647095:0.537453:0.647095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.561727:0.663708:0.583786:0.663708:0.583786:0.647240:0.561727:0.647240:0.000000:0.000000:0.000000
:@0.593875:0.663074:0.608527:0.663074:0.608527:0.649701:0.593875:0.649701:0.000000
C a r:@0.612669:0.663708:0.651681:0.663708:0.651681:0.647240:0.612669:0.647240:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.630412:0.664084:0.636827:0.664084:0.636827:0.648266:0.630412:0.648266:0.000000
x:@0.691787:0.663708:0.699262:0.663708:0.699262:0.647240:0.691787:0.647240:0.000000
:@0.693482:0.664084:0.699898:0.664084:0.699898:0.648266:0.693482:0.648266:0.000000
a:@0.718681:0.663708:0.727659:0.663708:0.727659:0.647240:0.718681:0.647240:0.000000
:@0.720434:0.664084:0.726850:0.664084:0.726850:0.648266:0.720434:0.648266:0.000000
r:@0.757886:0.663708:0.763916:0.663708:0.763916:0.647240:0.757886:0.647240:0.000000
x:@0.529766:0.681059:0.537241:0.681059:0.537241:0.664590:0.529766:0.664590:0.000000
:@0.531461:0.681435:0.537877:0.681435:0.537877:0.665617:0.531461:0.665617:0.000000
 = ( ,  )    ( ,  )   ||  –  || <  .:@0.537877:0.680944:0.766247:0.680944:0.766247:0.664446:0.537877:0.664446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.562151:0.681059:0.584210:0.681059:0.584210:0.664590:0.562151:0.664590:0.000000:0.000000:0.000000
:@0.594299:0.680425:0.608951:0.680425:0.608951:0.667052:0.594299:0.667052:0.000000
B a r:@0.613093:0.681059:0.651257:0.681059:0.651257:0.664590:0.613093:0.664590:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.629988:0.681435:0.636403:0.681435:0.636403:0.665617:0.629988:0.665617:0.000000
x:@0.691363:0.681059:0.698838:0.681059:0.698838:0.664590:0.691363:0.664590:0.000000
:@0.693058:0.681435:0.699474:0.681435:0.699474:0.665617:0.693058:0.665617:0.000000
a:@0.718257:0.681059:0.727235:0.681059:0.727235:0.664590:0.718257:0.664590:0.000000
:@0.720010:0.681435:0.726426:0.681435:0.726426:0.665617:0.720010:0.665617:0.000000
r:@0.757462:0.681059:0.763492:0.681059:0.763492:0.664590:0.757462:0.664590:0.000000
Sea   = ( ,  )    ( ,  ). Se tiene   –   = ( ,  ) – ( ,  ) = (  –  ,   –  );:@0.404234:0.715645:0.885374:0.715645:0.885374:0.699147:0.404234:0.699147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.432496:0.715761:0.439971:0.715761:0.439971:0.699292:0.432496:0.699292:0.000000
:@0.434191:0.716137:0.440606:0.716137:0.440606:0.700319:0.434191:0.700319:0.000000
x y:@0.464881:0.715761:0.486939:0.715761:0.486939:0.699292:0.464881:0.699292:0.000000:0.000000:0.000000
:@0.497034:0.715126:0.511687:0.715126:0.511687:0.701753:0.497034:0.701753:0.000000
C a r:@0.515828:0.715761:0.554840:0.715761:0.554840:0.699292:0.515828:0.699292:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.533571:0.716137:0.539987:0.716137:0.539987:0.700319:0.533571:0.700319:0.000000
x:@0.627873:0.715761:0.635348:0.715761:0.635348:0.699292:0.627873:0.699292:0.000000
:@0.629570:0.716137:0.635985:0.716137:0.635985:0.700319:0.629570:0.700319:0.000000
a:@0.654769:0.715761:0.663747:0.715761:0.663747:0.699292:0.654769:0.699292:0.000000
:@0.656522:0.716137:0.662938:0.716137:0.662938:0.700319:0.656522:0.700319:0.000000
x y:@0.689909:0.715761:0.711968:0.715761:0.711968:0.699292:0.689909:0.699292:0.000000:0.000000:0.000000
a b:@0.742657:0.715761:0.767798:0.715761:0.767798:0.699292:0.742657:0.699292:0.000000:0.000000:0.000000
x a y b:@0.798796:0.715761:0.876666:0.715761:0.876666:0.699292:0.798796:0.699292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luego,   = ||  –  ||  = (  –  )  + (  –  ) , de modo que la circunferen-:@0.404244:0.732996:0.891774:0.732996:0.891774:0.716498:0.404244:0.716498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.450153:0.733111:0.456183:0.733111:0.456183:0.716643:0.450153:0.716643:0.000000
2:@0.456174:0.726644:0.461127:0.726644:0.461127:0.717026:0.456174:0.717026:0.000000
x a:@0.489967:0.733111:0.525570:0.733111:0.525570:0.716643:0.489967:0.716643:0.000000:0.000000:0.000000
:@0.491663:0.733487:0.498078:0.733487:0.498078:0.717669:0.491663:0.717669:0.000000
:@0.518345:0.733487:0.524760:0.733487:0.524760:0.717669:0.518345:0.717669:0.000000
2:@0.536701:0.726644:0.541654:0.726644:0.541654:0.717026:0.536701:0.717026:0.000000
x a:@0.566428:0.733111:0.601394:0.733111:0.601394:0.716643:0.566428:0.716643:0.000000:0.000000:0.000000
2:@0.607344:0.726644:0.612297:0.726644:0.612297:0.717026:0.607344:0.717026:0.000000
y b:@0.637073:0.733111:0.672540:0.733111:0.672540:0.716643:0.637073:0.716643:0.000000:0.000000:0.000000
2:@0.678488:0.726644:0.683441:0.726644:0.683441:0.717026:0.678488:0.717026:0.000000
cia  ( ,  ) es el conjunto de puntos del plano que se expresa así::@0.404230:0.750347:0.856245:0.750347:0.856245:0.733849:0.404230:0.733849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C a r:@0.427811:0.750462:0.466823:0.750462:0.466823:0.733993:0.427811:0.733993:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.445554:0.750838:0.451970:0.750838:0.451970:0.735020:0.445554:0.735020:0.000000
C a r:@0.476225:0.785164:0.515237:0.785164:0.515237:0.768695:0.476225:0.768695:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) = {  = ( ,  )     | (  –  )  + (  –  )  =  }.:@0.486262:0.785048:0.819779:0.785048:0.819779:0.768550:0.486262:0.768550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.493968:0.785540:0.500383:0.785540:0.500383:0.769722:0.493968:0.769722:0.000000
x:@0.546138:0.785164:0.553613:0.785164:0.553613:0.768695:0.546138:0.768695:0.000000
:@0.547834:0.785540:0.554249:0.785540:0.554249:0.769722:0.547834:0.769722:0.000000
x y:@0.578523:0.785164:0.600582:0.785164:0.600582:0.768695:0.578523:0.768695:0.000000:0.000000:0.000000
:@0.610676:0.784529:0.625328:0.784529:0.625328:0.771156:0.610676:0.771156:0.000000
:@0.629470:0.783961:0.642775:0.783961:0.642775:0.771099:0.629470:0.771099:0.000000
2:@0.642775:0.778696:0.647728:0.778696:0.647728:0.769078:0.642775:0.769078:0.000000
x a:@0.666782:0.785164:0.701248:0.785164:0.701248:0.768695:0.666782:0.768695:0.000000:0.000000:0.000000
2:@0.706813:0.778696:0.711766:0.778696:0.711766:0.769078:0.706813:0.769078:0.000000
y b:@0.735929:0.785164:0.770895:0.785164:0.770895:0.768695:0.735929:0.768695:0.000000:0.000000:0.000000
2:@0.776461:0.778696:0.781414:0.778696:0.781414:0.769078:0.776461:0.769078:0.000000
r:@0.799816:0.785164:0.805846:0.785164:0.805846:0.768695:0.799816:0.768695:0.000000
2:@0.805652:0.778696:0.810605:0.778696:0.810605:0.769078:0.805652:0.769078:0.000000
A la ecuación definida como::@0.404227:0.819750:0.606198:0.819750:0.606198:0.803252:0.404227:0.803252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )    , tal que (  –  )  + (  –  )  =  ,:@0.506179:0.844229:0.789817:0.844229:0.789817:0.827732:0.506179:0.827731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.511939:0.844344:0.533420:0.844344:0.533420:0.827875:0.511939:0.827875:0.000000:0.000000:0.000000
:@0.542946:0.843711:0.557599:0.843711:0.557599:0.830337:0.542946:0.830337:0.000000
:@0.561372:0.843142:0.574677:0.843142:0.574677:0.830280:0.561372:0.830280:0.000000
2:@0.574492:0.837876:0.579446:0.837876:0.579446:0.828258:0.574492:0.828258:0.000000
x a:@0.643351:0.844345:0.677816:0.844345:0.677816:0.827876:0.643351:0.827876:0.000000:0.000000:0.000000
2:@0.683383:0.837876:0.688336:0.837876:0.688336:0.828258:0.683383:0.828258:0.000000
y b:@0.712497:0.844345:0.747463:0.844345:0.747463:0.827876:0.712497:0.827876:0.000000:0.000000:0.000000
2:@0.753029:0.837876:0.757983:0.837876:0.757983:0.828258:0.753029:0.828258:0.000000
r:@0.776385:0.844345:0.782415:0.844345:0.782415:0.827876:0.776385:0.827876:0.000000
2:@0.782222:0.837876:0.787175:0.837876:0.787175:0.828258:0.782222:0.828258:0.000000
se le conoce como :@0.404242:0.875909:0.549182:0.875909:0.549182:0.859411:0.404242:0.859411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación cartesiana de la circunferencia:@0.551660:0.876371:0.867313:0.876371:0.867313:0.859426:0.551660:0.859426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de :@0.867313:0.875909:0.895930:0.875909:0.895930:0.859411:0.867313:0.859411:0.000000:0.000000:0.000000:0.000000
centro ( ,  ) y radio  .:@0.404242:0.893260:0.557285:0.893260:0.557285:0.876762:0.404242:0.876762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.460381:0.893375:0.485522:0.893375:0.485522:0.876906:0.460381:0.876906:0.000000:0.000000:0.000000
r:@0.548500:0.893375:0.554530:0.893375:0.554530:0.876906:0.548500:0.876906:0.000000
Saberes previos:@0.199646:0.101454:0.307805:0.101454:0.307805:0.085981:0.199646:0.085981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo explicas la posi-:@0.199884:0.130082:0.351225:0.130082:0.351225:0.115019:0.199884:0.115019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción de una recta tangente con :@0.153341:0.145924:0.360410:0.145924:0.360410:0.130861:0.153341:0.130861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respecto a la circunferencia?:@0.153341:0.161766:0.334041:0.161766:0.334041:0.146703:0.153341:0.146703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.209703:0.363493:0.209703:0.363493:0.194231:0.199646:0.194231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿De qué manera se :@0.199884:0.238331:0.326090:0.238331:0.326090:0.223268:0.199884:0.223268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede determinar una circunfe-:@0.153341:0.254173:0.359584:0.254173:0.359584:0.239110:0.153341:0.239110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rencia a partir de tres puntos no :@0.153341:0.270015:0.364894:0.270015:0.364894:0.254952:0.153341:0.254952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colineales?:@0.153341:0.285857:0.221324:0.285857:0.221324:0.270794:0.153341:0.270794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.143988:0.898411:0.155468:0.898411:0.155468:0.888386:0.143988:0.888386:0.000000
 :@0.155468:0.899119:0.158350:0.899119:0.158350:0.887642:0.155468:0.887642:0.000000
Figura 2.10.:@0.158350:0.899119:0.212828:0.899119:0.212828:0.887642:0.158350:0.887642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.176943:0.761531:0.186253:0.761531:0.186253:0.747927:0.176943:0.747927:0.000000
A:@0.300903:0.761531:0.310213:0.761531:0.310213:0.747927:0.300903:0.747927:0.000000
eje:@0.191469:0.825193:0.204442:0.825193:0.204442:0.813737:0.191469:0.813737:0.000000:0.000000:0.000000
Circunferencia:@0.154024:0.879830:0.225056:0.879830:0.225056:0.868354:0.154024:0.868354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elipse:@0.299019:0.879830:0.326961:0.879830:0.326961:0.868354:0.299019:0.868354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje:@0.315437:0.825193:0.328410:0.825193:0.328410:0.813737:0.315437:0.813737:0.000000:0.000000:0.000000
O:@0.173577:0.853347:0.181860:0.853347:0.181860:0.841890:0.173577:0.841890:0.000000
O:@0.297545:0.853347:0.305828:0.853347:0.305828:0.841890:0.297545:0.841890:0.000000
plano:@0.209441:0.788188:0.237009:0.788188:0.237009:0.776732:0.209441:0.776732:0.000000:0.000000:0.000000:0.000000:0.000000
plano:@0.332363:0.780835:0.359931:0.780835:0.359931:0.769379:0.332363:0.769379:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199453:0.354709:0.297076:0.354709:0.297076:0.339237:0.199453:0.339237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.199453:0.367277:0.311412:0.367277:0.311412:0.351805:0.199453:0.351805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Históricamente, el des-:@0.192881:0.391752:0.340848:0.391752:0.340848:0.376689:0.192881:0.376689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cubrimiento de las secciones :@0.153163:0.407594:0.343255:0.407594:0.343255:0.392531:0.153163:0.392531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cónicas, comúnmente llamadas :@0.153163:0.423436:0.361673:0.423436:0.361673:0.408373:0.153163:0.408373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cónicas, data del siglo IV a. C, :@0.153163:0.439278:0.345242:0.439278:0.345242:0.424215:0.153163:0.424215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gracias al matemático griego :@0.153163:0.455120:0.340778:0.455120:0.340778:0.440057:0.153163:0.440057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Menecmo, quien estudió las :@0.153163:0.470962:0.339965:0.470962:0.339965:0.455899:0.153163:0.455899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades de las cónicas a :@0.153163:0.486804:0.341216:0.486804:0.341216:0.471741:0.153163:0.471741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partir de su generación en el :@0.153163:0.502646:0.340372:0.502646:0.340372:0.487583:0.153163:0.487583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
espacio como la intersección de :@0.153163:0.518488:0.364451:0.518488:0.364451:0.503425:0.153163:0.503425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un cono circular recto con un :@0.153163:0.534330:0.350029:0.534330:0.350029:0.519267:0.153163:0.519267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plano.:@0.153163:0.550172:0.192529:0.550172:0.192529:0.535109:0.153163:0.535109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las cónicas surgen a partir de la :@0.153163:0.573143:0.361339:0.573143:0.361339:0.558079:0.153163:0.558079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
generación en el espacio como :@0.153163:0.588985:0.357012:0.588985:0.357012:0.573921:0.153163:0.573921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la intersección de un cono :@0.153163:0.604827:0.328604:0.604827:0.328604:0.589763:0.153163:0.589763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circular recto con un plano :@0.153163:0.620669:0.332386:0.620669:0.332386:0.605605:0.153163:0.605605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variablemente inclinado con el :@0.153163:0.636511:0.355552:0.636511:0.355552:0.621447:0.153163:0.621447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje del cono.:@0.153163:0.652353:0.234198:0.652353:0.234198:0.637289:0.153163:0.637289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.153163:0.675746:0.222116:0.675746:0.222116:0.660274:0.153163:0.660274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿qué es una sección :@0.222116:0.675323:0.359897:0.675323:0.359897:0.660260:0.222116:0.660260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cónica?:@0.153163:0.691165:0.201043:0.691165:0.201043:0.676102:0.153163:0.676102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000