﻿80:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000
Problemas relativos a la circunferencia:@0.404236:0.097328:0.711684:0.097328:0.711684:0.079645:0.404236:0.079645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación de la circunferencia que pasa por tres puntos:@0.404236:0.115176:0.822933:0.115176:0.822933:0.097735:0.404236:0.097735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sabemos que la ecuación cartesiana de la circunferencia queda bien :@0.404236:0.132140:0.895922:0.132140:0.895922:0.115643:0.404236:0.115643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definida si se conoce su centro   = ( ,  )     y su radio   > 0. Así::@0.404236:0.149491:0.878873:0.149491:0.878873:0.132994:0.404236:0.132994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.626110:0.149607:0.633585:0.149607:0.633585:0.133138:0.626110:0.133138:0.000000
:@0.627809:0.149983:0.634225:0.149983:0.634225:0.134165:0.627809:0.134165:0.000000
0:@0.634221:0.152769:0.639175:0.152769:0.639175:0.143151:0.634221:0.143151:0.000000
a b:@0.664218:0.149607:0.689359:0.149607:0.689359:0.133138:0.664218:0.133138:0.000000:0.000000:0.000000
:@0.699454:0.148973:0.714106:0.148973:0.714106:0.135599:0.699454:0.135599:0.000000
:@0.718248:0.148404:0.731553:0.148404:0.731553:0.135542:0.718248:0.135542:0.000000
2:@0.731551:0.143139:0.736504:0.143139:0.736504:0.133521:0.731551:0.133521:0.000000
r:@0.813391:0.149607:0.819421:0.149607:0.819421:0.133138:0.813391:0.133138:0.000000
( ,  )     tal que (  –  )  + (  –  )   =  .:@0.498078:0.175749:0.797932:0.175752:0.797932:0.159255:0.498078:0.159251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.504031:0.175864:0.526090:0.175864:0.526090:0.159396:0.504031:0.159396:0.000000:0.000000:0.000000
:@0.536180:0.175234:0.550832:0.175234:0.550832:0.161861:0.536180:0.161861:0.000000
:@0.554974:0.174666:0.568279:0.174666:0.568279:0.161803:0.554974:0.161803:0.000000
2:@0.568279:0.169401:0.573232:0.169401:0.573232:0.159783:0.568279:0.159783:0.000000
x x:@0.636615:0.175868:0.670349:0.175868:0.670349:0.159399:0.636615:0.159399:0.000000:0.000000:0.000000
0:@0.670346:0.179030:0.675300:0.179030:0.675300:0.169412:0.670346:0.169412:0.000000
2:@0.681252:0.169401:0.686205:0.169401:0.686205:0.159783:0.681252:0.159783:0.000000
y y:@0.711251:0.175868:0.745408:0.175868:0.745408:0.159399:0.711251:0.159399:0.000000:0.000000:0.000000
0:@0.745407:0.179030:0.750360:0.179030:0.750360:0.169412:0.745407:0.169412:0.000000
2:@0.756313:0.169401:0.761266:0.169401:0.761266:0.159783:0.756313:0.159783:0.000000
r:@0.784499:0.175868:0.790529:0.175868:0.790529:0.159399:0.784499:0.159399:0.000000
2:@0.790335:0.169401:0.795289:0.169401:0.795289:0.159783:0.790335:0.159783:0.000000
Determinemos la ecuación cartesiana de la circunferencia que pasa :@0.404227:0.205928:0.895871:0.205928:0.895871:0.189431:0.404227:0.189431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por tres puntos dados   = ( ,  ),   = ( ,  ),    = ( ,  )   :@0.404227:0.223279:0.846954:0.223278:0.846954:0.206781:0.404227:0.206781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.572004:0.223395:0.581213:0.223395:0.581213:0.206926:0.572004:0.206926:0.000000
:@0.574975:0.223771:0.581390:0.223771:0.581390:0.207953:0.574975:0.207953:0.000000
x y:@0.609633:0.223395:0.638262:0.223394:0.638262:0.206925:0.609633:0.206926:0.000000:0.000000:0.000000
1:@0.617126:0.226556:0.622079:0.226556:0.622079:0.216938:0.617126:0.216938:0.000000
1:@0.638267:0.226556:0.643220:0.226556:0.643220:0.216938:0.638267:0.216938:0.000000
v:@0.657670:0.223394:0.665453:0.223394:0.665453:0.206925:0.657670:0.206925:0.000000
:@0.659673:0.223770:0.666089:0.223770:0.666089:0.207952:0.659673:0.207952:0.000000
x y:@0.694332:0.223394:0.722956:0.223394:0.722956:0.206925:0.694332:0.206925:0.000000:0.000000:0.000000
2:@0.701821:0.226556:0.706774:0.226556:0.706774:0.216938:0.701821:0.216938:0.000000
2:@0.722961:0.226556:0.727914:0.226556:0.727914:0.216938:0.722961:0.216938:0.000000
w:@0.742363:0.223394:0.754577:0.223394:0.754577:0.206925:0.742363:0.206925:0.000000
:@0.746871:0.223770:0.753287:0.223770:0.753287:0.207952:0.746871:0.207952:0.000000
x y:@0.782884:0.223394:0.811504:0.223394:0.811504:0.206925:0.782884:0.206925:0.000000:0.000000:0.000000
3:@0.790367:0.226556:0.795320:0.226556:0.795320:0.216938:0.790367:0.216938:0.000000
3:@0.811509:0.226556:0.816462:0.226556:0.816462:0.216938:0.811509:0.216938:0.000000
:@0.828161:0.222760:0.842813:0.222760:0.842813:0.209387:0.828161:0.209387:0.000000
:@0.848560:0.222191:0.861865:0.222191:0.861865:0.209329:0.848560:0.209329:0.000000
2:@0.861863:0.216927:0.866816:0.216927:0.866816:0.207309:0.861863:0.207309:0.000000
 no :@0.866817:0.223278:0.895907:0.223278:0.895907:0.206781:0.866817:0.206781:0.000000:0.000000:0.000000:0.000000
colineales. Para el efecto, denotamos con   = ( ,  ) el centro de la :@0.404239:0.240629:0.895903:0.240629:0.895903:0.224132:0.404239:0.224132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.707911:0.240745:0.715386:0.240745:0.715386:0.224276:0.707911:0.224276:0.000000
:@0.709593:0.241121:0.716008:0.241121:0.716008:0.225303:0.709593:0.225303:0.000000
0:@0.716002:0.243907:0.720955:0.243907:0.720955:0.234289:0.716002:0.234289:0.000000
a b:@0.749102:0.240745:0.775784:0.240745:0.775784:0.224276:0.749102:0.224276:0.000000:0.000000:0.000000
circunferencia, cuyas coordenadas son desconocidas y deberán cal-:@0.404235:0.257980:0.891771:0.257980:0.891771:0.241482:0.404235:0.241482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cularse en términos de los datos  ,  ,  . Como la circunferencia debe :@0.404235:0.275331:0.895882:0.275331:0.895882:0.258833:0.404235:0.258833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v w:@0.636573:0.275446:0.680518:0.275446:0.680518:0.258978:0.636573:0.258978:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.639560:0.275822:0.679227:0.275822:0.679227:0.260004:0.639560:0.260004:0.000000:0.000000:0.000000:0.000000:0.000000
pasar por  ,  ,  , denotamos con   el radio de la circunferencia que :@0.404235:0.292681:0.895861:0.292681:0.895861:0.276184:0.404235:0.276184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v w:@0.477672:0.292797:0.523467:0.292797:0.523467:0.276328:0.477672:0.276328:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.480621:0.293173:0.522176:0.293173:0.522176:0.277355:0.480621:0.277355:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.650942:0.292797:0.656972:0.292797:0.656972:0.276328:0.650942:0.276328:0.000000
es la distancia del centro   a cualquier punto  ,  ,  . Elegimos   y :@0.404215:0.310032:0.895922:0.310032:0.895922:0.293535:0.404215:0.293535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.589468:0.310148:0.596943:0.310148:0.596943:0.293679:0.589468:0.293679:0.000000
:@0.591165:0.310524:0.597581:0.310524:0.597581:0.294706:0.591165:0.294706:0.000000
0:@0.597597:0.313310:0.602551:0.313310:0.602551:0.303692:0.597597:0.303692:0.000000
u v w:@0.743378:0.310148:0.790522:0.310148:0.790522:0.293679:0.743378:0.293679:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.746328:0.310524:0.789231:0.310524:0.789231:0.294706:0.746328:0.294706:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.868776:0.310148:0.877984:0.310148:0.877984:0.293679:0.868776:0.293679:0.000000
:@0.871725:0.310524:0.878141:0.310524:0.878141:0.294706:0.871725:0.294706:0.000000
calculamos   = ||  –  || o bien,:@0.404254:0.327383:0.625533:0.327383:0.625533:0.310885:0.404254:0.310885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.487788:0.327499:0.493818:0.327499:0.493818:0.311030:0.487788:0.311030:0.000000
u x:@0.522928:0.327499:0.558549:0.327499:0.558549:0.311030:0.522928:0.311030:0.000000:0.000000:0.000000
:@0.525875:0.327875:0.532291:0.327875:0.532291:0.312056:0.525875:0.312056:0.000000
:@0.552770:0.327875:0.559185:0.327875:0.559185:0.312056:0.552770:0.312056:0.000000
0:@0.559164:0.330661:0.564117:0.330661:0.564117:0.321043:0.559164:0.321043:0.000000
r:@0.522100:0.353756:0.528130:0.353756:0.528130:0.337287:0.522100:0.337287:0.000000
2:@0.528130:0.347291:0.533083:0.347291:0.533083:0.337673:0.528130:0.337673:0.000000
 = ||  –  ||  = (  –  )  + (  –  ) .:@0.533084:0.353644:0.773905:0.353644:0.773905:0.337147:0.533084:0.337147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u x:@0.562194:0.353760:0.597815:0.353760:0.597815:0.337291:0.562194:0.337291:0.000000:0.000000:0.000000
:@0.565141:0.354136:0.571557:0.354136:0.571557:0.338318:0.565141:0.338318:0.000000
:@0.592036:0.354136:0.598451:0.354136:0.598451:0.338318:0.592036:0.338318:0.000000
0:@0.598448:0.356921:0.603402:0.356921:0.603402:0.347303:0.598448:0.347303:0.000000
2:@0.613420:0.347291:0.618373:0.347291:0.618373:0.337673:0.613420:0.337673:0.000000
x:@0.643419:0.353760:0.650893:0.353760:0.650893:0.337291:0.643419:0.337291:0.000000
1:@0.650892:0.356921:0.655845:0.356921:0.655845:0.347303:0.650892:0.347303:0.000000
a:@0.674629:0.353760:0.683607:0.353760:0.683607:0.337291:0.674629:0.337291:0.000000
2:@0.689558:0.347291:0.694511:0.347291:0.694511:0.337673:0.689558:0.337673:0.000000
y:@0.719556:0.353760:0.727243:0.353760:0.727243:0.337291:0.719556:0.337291:0.000000
1:@0.727242:0.356921:0.732196:0.356921:0.732196:0.347303:0.727242:0.347303:0.000000
b:@0.750980:0.353760:0.760246:0.353760:0.760246:0.337291:0.750980:0.337291:0.000000
2:@0.766199:0.347291:0.771152:0.347291:0.771152:0.337673:0.766199:0.337673:0.000000
La ecuación cartesiana de la circunferencia que pasa por  ,  ,   es::@0.404244:0.383820:0.871889:0.383820:0.871889:0.367322:0.404244:0.367322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v w:@0.805901:0.383936:0.849695:0.383936:0.849695:0.367467:0.805901:0.367467:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.808853:0.384312:0.848404:0.384312:0.848404:0.368494:0.808853:0.368494:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )     tal que (  –  )  + (  –  )   =   = (  –  )  + (  –  ) ,:@0.425108:0.410078:0.870909:0.410079:0.870909:0.393582:0.425108:0.393580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.431061:0.410193:0.453120:0.410193:0.453120:0.393724:0.431061:0.393724:0.000000:0.000000:0.000000
:@0.463203:0.409561:0.477855:0.409561:0.477855:0.396187:0.463203:0.396187:0.000000
:@0.481997:0.408992:0.495302:0.408992:0.495302:0.396130:0.481997:0.396130:0.000000
2:@0.495302:0.403728:0.500255:0.403728:0.500255:0.394110:0.495302:0.394110:0.000000
x a:@0.563637:0.410195:0.598873:0.410195:0.598873:0.393726:0.563637:0.393726:0.000000:0.000000:0.000000
2:@0.604824:0.403728:0.609778:0.403728:0.609778:0.394110:0.604824:0.394110:0.000000
y b:@0.634823:0.410195:0.670560:0.410195:0.670560:0.393726:0.634823:0.393726:0.000000:0.000000:0.000000
2:@0.676511:0.403728:0.681464:0.403728:0.681464:0.394110:0.676511:0.394110:0.000000
r:@0.704699:0.410195:0.710729:0.410195:0.710729:0.393726:0.704699:0.393726:0.000000
2:@0.710535:0.403728:0.715489:0.403728:0.715489:0.394110:0.710535:0.394110:0.000000
x:@0.740420:0.410195:0.747895:0.410195:0.747895:0.393726:0.740420:0.393726:0.000000
1:@0.747895:0.413357:0.752848:0.413357:0.752848:0.403739:0.747895:0.403739:0.000000
a:@0.771632:0.410195:0.780610:0.410195:0.780610:0.393726:0.771632:0.393726:0.000000
2:@0.786561:0.403728:0.791514:0.403728:0.791514:0.394110:0.786561:0.394110:0.000000
y:@0.816560:0.410195:0.824246:0.410195:0.824246:0.393726:0.816560:0.393726:0.000000
1:@0.824246:0.413357:0.829199:0.413357:0.829199:0.403739:0.824246:0.403739:0.000000
b:@0.847983:0.410195:0.857249:0.410195:0.857249:0.393726:0.847983:0.393726:0.000000
2:@0.863202:0.403728:0.868155:0.403728:0.868155:0.394110:0.863202:0.394110:0.000000
en la que ( ,  )   :@0.404227:0.440255:0.539712:0.440255:0.539712:0.423757:0.404227:0.423758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.482924:0.440371:0.509435:0.440371:0.509435:0.423902:0.482924:0.423902:0.000000:0.000000:0.000000
:@0.520918:0.439736:0.535571:0.439736:0.535571:0.426363:0.520918:0.426363:0.000000
:@0.541083:0.439168:0.554388:0.439168:0.554388:0.426306:0.541083:0.426306:0.000000
2:@0.554388:0.433903:0.559341:0.433903:0.559341:0.424285:0.554388:0.424285:0.000000
 es desconocido. Simplificamos la escritura de :@0.559340:0.440255:0.895900:0.440255:0.895900:0.423757:0.559340:0.423757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esta ecuación::@0.404235:0.457605:0.503875:0.457605:0.503875:0.441108:0.404235:0.441108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.429338:0.483979:0.436813:0.483979:0.436813:0.467510:0.429338:0.467510:0.000000
2:@0.436630:0.477514:0.441583:0.477514:0.441583:0.467896:0.436630:0.467896:0.000000
 – 2  +   +   – 2  +   =   – 2:@0.441470:0.483867:0.690622:0.483867:0.690622:0.467369:0.441470:0.467369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax a:@0.468750:0.483982:0.513291:0.483982:0.513291:0.467514:0.468750:0.467514:0.000000:0.000000:0.000000:0.000000
2:@0.513291:0.477514:0.518244:0.477514:0.518244:0.467896:0.513291:0.467896:0.000000
y:@0.537335:0.483982:0.545022:0.483982:0.545022:0.467514:0.537335:0.467514:0.000000
2:@0.544829:0.477514:0.549782:0.477514:0.549782:0.467896:0.544829:0.467896:0.000000
by b:@0.576948:0.483982:0.622222:0.483982:0.622222:0.467514:0.576948:0.467514:0.000000:0.000000:0.000000:0.000000
2:@0.622222:0.477514:0.627175:0.477514:0.627175:0.467896:0.622222:0.467896:0.000000
x:@0.646266:0.483982:0.653741:0.483982:0.653741:0.467514:0.646266:0.467514:0.000000
1:@0.653547:0.487143:0.658500:0.487143:0.658500:0.477525:0.653547:0.477525:0.000000
2:@0.658500:0.477517:0.663453:0.477517:0.663453:0.467899:0.658500:0.467899:0.000000
ax:@0.690622:0.483982:0.707094:0.483982:0.707094:0.467514:0.690622:0.467514:0.000000:0.000000
1:@0.707091:0.487143:0.712044:0.487143:0.712044:0.477525:0.707091:0.477525:0.000000
 +   +   – 2:@0.712045:0.483867:0.808726:0.483867:0.808726:0.467369:0.712045:0.467369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.731137:0.483982:0.740114:0.483982:0.740114:0.467514:0.731137:0.467514:0.000000
2:@0.740113:0.477514:0.745067:0.477514:0.745067:0.467896:0.740113:0.467896:0.000000
y:@0.764159:0.483982:0.771846:0.483982:0.771846:0.467514:0.764159:0.467514:0.000000
1:@0.771651:0.487143:0.776605:0.487143:0.776605:0.477525:0.771651:0.477525:0.000000
2:@0.776605:0.477517:0.781558:0.477517:0.781558:0.467899:0.776605:0.467899:0.000000
by:@0.808726:0.483982:0.825641:0.483982:0.825641:0.467514:0.808726:0.467514:0.000000:0.000000
1:@0.825639:0.487143:0.830593:0.487143:0.830593:0.477525:0.825639:0.477525:0.000000
 +  ,:@0.830593:0.483867:0.866658:0.483867:0.866658:0.467369:0.830593:0.467369:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.849685:0.483982:0.858952:0.483982:0.858952:0.467514:0.849685:0.467514:0.000000
2:@0.858952:0.477514:0.863905:0.477514:0.863905:0.467896:0.858952:0.467896:0.000000
donde: :@0.404235:0.514042:0.458023:0.514042:0.458023:0.497545:0.404235:0.497545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2  + 2:@0.491602:0.531393:0.554658:0.531393:0.554658:0.514896:0.491602:0.514896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.510598:0.531509:0.527070:0.531509:0.527070:0.515040:0.510598:0.515040:0.000000:0.000000
ax:@0.554658:0.531509:0.571129:0.531509:0.571129:0.515040:0.554658:0.515040:0.000000:0.000000
1:@0.571124:0.534669:0.576077:0.534669:0.576077:0.525051:0.571124:0.525051:0.000000
 – 2  + 2:@0.576077:0.531393:0.647860:0.531393:0.647860:0.514895:0.576077:0.514895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
by:@0.603357:0.531508:0.620272:0.531508:0.620272:0.515040:0.603357:0.515040:0.000000:0.000000
by:@0.647860:0.531508:0.664774:0.531508:0.664774:0.515040:0.647860:0.515040:0.000000:0.000000
1:@0.664773:0.534669:0.669726:0.534669:0.669726:0.525051:0.664773:0.525051:0.000000
 =   +   –   – :@0.669725:0.531393:0.791961:0.531393:0.791961:0.514895:0.669725:0.514895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.688817:0.531508:0.696292:0.531508:0.696292:0.515040:0.688817:0.515040:0.000000
1:@0.696098:0.534669:0.701051:0.534669:0.701051:0.525051:0.696098:0.525051:0.000000
2:@0.701051:0.525043:0.706004:0.525043:0.706004:0.515425:0.701051:0.515425:0.000000
y:@0.724983:0.531508:0.732670:0.531508:0.732670:0.515040:0.724983:0.515040:0.000000
1:@0.732478:0.534669:0.737431:0.534669:0.737431:0.525051:0.732478:0.525051:0.000000
2:@0.737431:0.525043:0.742384:0.525043:0.742384:0.515425:0.737431:0.515425:0.000000
x:@0.761055:0.531508:0.768530:0.531508:0.768530:0.515040:0.761055:0.515040:0.000000
2:@0.768338:0.525040:0.773291:0.525040:0.773291:0.515421:0.768338:0.515421:0.000000
y:@0.791961:0.531508:0.799648:0.531508:0.799648:0.515040:0.791961:0.515040:0.000000
2:@0.799455:0.525040:0.804409:0.525040:0.804409:0.515421:0.799455:0.515421:0.000000
2(  –  )  + 2(  –  )  =   +   –   –  .:@0.501373:0.548743:0.794633:0.548743:0.794633:0.532246:0.501373:0.532246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.515822:0.548859:0.523297:0.548859:0.523297:0.532390:0.515822:0.532390:0.000000
1:@0.523297:0.552020:0.528250:0.552020:0.528250:0.542402:0.523297:0.542402:0.000000
x a:@0.547034:0.548859:0.569440:0.548859:0.569440:0.532390:0.547034:0.532390:0.000000:0.000000:0.000000
y:@0.602981:0.548859:0.610668:0.548859:0.610668:0.532390:0.602981:0.532390:0.000000
1:@0.610666:0.552020:0.615619:0.552020:0.615619:0.542402:0.610666:0.542402:0.000000
y b x:@0.634402:0.548859:0.683875:0.548859:0.683875:0.532390:0.634402:0.532390:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.683681:0.552020:0.688634:0.552020:0.688634:0.542402:0.683681:0.542402:0.000000
2:@0.688634:0.542393:0.693588:0.542393:0.693588:0.532775:0.688634:0.532775:0.000000
y:@0.712567:0.548859:0.720253:0.548859:0.720253:0.532390:0.712567:0.532390:0.000000
1:@0.720061:0.552020:0.725014:0.552020:0.725014:0.542402:0.720061:0.542402:0.000000
2:@0.725014:0.542393:0.729967:0.542393:0.729967:0.532775:0.725014:0.532775:0.000000
x:@0.748638:0.548859:0.756113:0.548859:0.756113:0.532390:0.748638:0.532390:0.000000
2:@0.755919:0.542390:0.760872:0.542390:0.760872:0.532772:0.755919:0.532772:0.000000
y:@0.779544:0.548859:0.787231:0.548859:0.787231:0.532390:0.779544:0.532390:0.000000
2:@0.787037:0.542390:0.791990:0.542390:0.791990:0.532772:0.787037:0.532772:0.000000
Ponemos || ||  =   +  , || ||  =   +   con   = ( ,  )    . La ecua-:@0.404242:0.578919:0.891779:0.578919:0.891779:0.562421:0.404242:0.562422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.485830:0.579035:0.495039:0.579035:0.495039:0.562566:0.485830:0.562566:0.000000
:@0.488778:0.579411:0.495193:0.579411:0.495193:0.563593:0.488778:0.563593:0.000000
2:@0.506163:0.572566:0.511116:0.572566:0.511116:0.562947:0.506163:0.562947:0.000000
x:@0.530168:0.579034:0.537643:0.579034:0.537643:0.562565:0.530168:0.562565:0.000000
1:@0.537441:0.582195:0.542394:0.582195:0.542394:0.572577:0.537441:0.572577:0.000000
2:@0.542394:0.572569:0.547348:0.572569:0.547348:0.562951:0.542394:0.562951:0.000000
y:@0.566288:0.579034:0.573975:0.579034:0.573975:0.562565:0.566288:0.562565:0.000000
1:@0.573772:0.582195:0.578725:0.582195:0.578725:0.572577:0.573772:0.572577:0.000000
2:@0.578725:0.572569:0.583678:0.572569:0.583678:0.562951:0.578725:0.562951:0.000000
x:@0.601424:0.579034:0.608899:0.579034:0.608899:0.562565:0.601424:0.562565:0.000000
:@0.603120:0.579410:0.609535:0.579410:0.609535:0.563592:0.603120:0.563592:0.000000
2:@0.620702:0.572566:0.625655:0.572566:0.625655:0.562947:0.620702:0.562947:0.000000
x:@0.644709:0.579034:0.652184:0.579034:0.652184:0.562565:0.644709:0.562565:0.000000
2:@0.651981:0.572566:0.656934:0.572566:0.656934:0.562947:0.651981:0.562947:0.000000
y:@0.675875:0.579034:0.683562:0.579034:0.683562:0.562565:0.675875:0.562565:0.000000
2:@0.683358:0.572566:0.688311:0.572566:0.688311:0.562947:0.683358:0.562947:0.000000
x:@0.723397:0.579034:0.730872:0.579034:0.730872:0.562565:0.723397:0.562565:0.000000
:@0.725073:0.579410:0.731488:0.579410:0.731488:0.563592:0.725073:0.563592:0.000000
x y:@0.756495:0.579034:0.778515:0.579034:0.778515:0.562565:0.756495:0.562565:0.000000:0.000000:0.000000
:@0.788596:0.578400:0.803249:0.578400:0.803249:0.565027:0.788596:0.565027:0.000000
:@0.807368:0.577832:0.820672:0.577832:0.820672:0.564969:0.807368:0.564969:0.000000
2:@0.820672:0.572566:0.825625:0.572566:0.825625:0.562947:0.820672:0.562947:0.000000
ción precedente se expresa como: :@0.404235:0.596269:0.649170:0.596269:0.649170:0.579772:0.404235:0.579772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  –  )  + (  –  )  =       || ||  – || || .:@0.506168:0.622527:0.789845:0.622531:0.789845:0.606033:0.506168:0.606029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.512121:0.622642:0.519596:0.622642:0.519596:0.606174:0.512121:0.606174:0.000000
1:@0.519590:0.625807:0.524543:0.625807:0.524543:0.616189:0.519590:0.616189:0.000000
x a:@0.543327:0.622646:0.565733:0.622646:0.565733:0.606177:0.543327:0.606177:0.000000:0.000000:0.000000
y:@0.590777:0.622646:0.598464:0.622646:0.598464:0.606177:0.590777:0.606177:0.000000
1:@0.598462:0.625807:0.603415:0.625807:0.603415:0.616189:0.598462:0.616189:0.000000
y b:@0.622199:0.622646:0.645105:0.622646:0.645105:0.606177:0.622199:0.606177:0.000000:0.000000:0.000000
(:@0.684906:0.623268:0.690859:0.623268:0.690859:0.603471:0.684906:0.603471:0.000000
u:@0.701839:0.622646:0.711048:0.622646:0.711048:0.606177:0.701839:0.606177:0.000000
:@0.704787:0.623022:0.711202:0.623022:0.711202:0.607204:0.704787:0.607204:0.000000
2:@0.722183:0.616178:0.727136:0.616178:0.727136:0.606559:0.722183:0.606559:0.000000
x:@0.756900:0.622646:0.764375:0.622646:0.764375:0.606177:0.756900:0.606177:0.000000
:@0.758595:0.623022:0.765011:0.623022:0.765011:0.607204:0.758595:0.607204:0.000000
2:@0.776185:0.616178:0.781138:0.616178:0.781138:0.606559:0.776185:0.606559:0.000000
):@0.781137:0.623268:0.787090:0.623268:0.787090:0.603471:0.781137:0.603471:0.000000
Para calcular las coordenadas  ,   de  , utilizamos los puntos   y  . :@0.404232:0.652706:0.895911:0.652706:0.895911:0.636208:0.404232:0.636209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.618267:0.652822:0.644181:0.652822:0.644181:0.636353:0.618267:0.636353:0.000000:0.000000:0.000000
x:@0.671826:0.652822:0.679301:0.652822:0.679301:0.636353:0.671826:0.636353:0.000000
:@0.673522:0.653198:0.679937:0.653198:0.679937:0.637380:0.673522:0.637380:0.000000
0:@0.679945:0.655982:0.684899:0.655982:0.684899:0.646364:0.679945:0.646364:0.000000
v w:@0.850118:0.652821:0.888379:0.652821:0.888379:0.636353:0.850118:0.636353:0.000000:0.000000:0.000000
:@0.852141:0.653197:0.858556:0.653197:0.858556:0.637379:0.852141:0.637379:0.000000
:@0.880673:0.653197:0.887088:0.653197:0.887088:0.637379:0.880673:0.637379:0.000000
Escribimos   =   = ( ,  ) en la ecuación precedente y obtenemos: :@0.404243:0.670057:0.878947:0.670057:0.878947:0.653559:0.404243:0.653559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.485167:0.670172:0.492642:0.670172:0.492642:0.653703:0.485167:0.653703:0.000000
:@0.486862:0.670548:0.493278:0.670548:0.493278:0.654730:0.486862:0.654730:0.000000
v:@0.512370:0.670172:0.520153:0.670172:0.520153:0.653703:0.512370:0.653703:0.000000
:@0.514373:0.670548:0.520788:0.670548:0.520788:0.654730:0.514373:0.654730:0.000000
x y:@0.545833:0.670172:0.572843:0.670172:0.572843:0.653703:0.545833:0.653703:0.000000:0.000000:0.000000
2:@0.553306:0.673333:0.558259:0.673333:0.558259:0.663715:0.553306:0.663715:0.000000
2:@0.572842:0.673333:0.577796:0.673333:0.577796:0.663715:0.572842:0.663715:0.000000
(  –  )  + (  –  )  =       || ||  – || || .:@0.501640:0.698092:0.794374:0.698098:0.794374:0.681600:0.501640:0.681595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.507593:0.698208:0.515068:0.698208:0.515068:0.681739:0.507593:0.681739:0.000000
1:@0.515060:0.701376:0.520013:0.701376:0.520013:0.691758:0.515060:0.691758:0.000000
x a:@0.538797:0.698214:0.566156:0.698214:0.566156:0.681745:0.538797:0.681745:0.000000:0.000000:0.000000
2:@0.546271:0.701376:0.551225:0.701376:0.551225:0.691758:0.546271:0.691758:0.000000
y:@0.591200:0.698214:0.598887:0.698214:0.598887:0.681745:0.591200:0.681745:0.000000
1:@0.598886:0.701376:0.603839:0.701376:0.603839:0.691758:0.598886:0.691758:0.000000
y b:@0.622623:0.698214:0.650481:0.698214:0.650481:0.681745:0.622623:0.681745:0.000000:0.000000:0.000000
2:@0.630308:0.701376:0.635261:0.701376:0.635261:0.691758:0.630308:0.691758:0.000000
(:@0.690282:0.698836:0.696235:0.698836:0.696235:0.679038:0.690282:0.679038:0.000000
u:@0.707217:0.698214:0.716425:0.698214:0.716425:0.681745:0.707217:0.681745:0.000000
:@0.710164:0.698590:0.716580:0.698590:0.716580:0.682772:0.710164:0.682772:0.000000
2:@0.727559:0.691746:0.732512:0.691746:0.732512:0.682128:0.727559:0.682128:0.000000
v:@0.762278:0.698214:0.770061:0.698214:0.770061:0.681745:0.762278:0.681745:0.000000
:@0.764281:0.698590:0.770697:0.698590:0.770697:0.682772:0.764281:0.682772:0.000000
2:@0.780713:0.691746:0.785666:0.691746:0.785666:0.682128:0.780713:0.682128:0.000000
):@0.785666:0.698836:0.791619:0.698836:0.791619:0.679038:0.785666:0.679038:0.000000
De manera similar, si   =   = ( ,  ), se tiene::@0.404233:0.729778:0.719857:0.729782:0.719857:0.713284:0.404233:0.713280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.552922:0.729893:0.560397:0.729893:0.560397:0.713425:0.552922:0.713425:0.000000
:@0.554617:0.730269:0.561033:0.730269:0.561033:0.714451:0.554617:0.714451:0.000000
w:@0.580125:0.729893:0.592339:0.729893:0.592339:0.713425:0.580125:0.713425:0.000000
:@0.584633:0.730269:0.591048:0.730269:0.591048:0.714451:0.584633:0.714451:0.000000
x y:@0.618019:0.729893:0.645031:0.729898:0.645031:0.713429:0.618019:0.713425:0.000000:0.000000:0.000000
3:@0.625493:0.733060:0.630447:0.733060:0.630447:0.723442:0.625493:0.723442:0.000000
3:@0.645030:0.733060:0.649983:0.733060:0.649983:0.723442:0.645030:0.723442:0.000000
(  –  )  + (  –  )  =       || ||  – || || .:@0.499426:0.757818:0.796590:0.757825:0.796590:0.741327:0.499426:0.741320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.505379:0.757934:0.512854:0.757934:0.512854:0.741465:0.505379:0.741465:0.000000
1:@0.512845:0.761103:0.517799:0.761103:0.517799:0.751485:0.512845:0.751485:0.000000
x a:@0.536581:0.757941:0.563939:0.757941:0.563939:0.741472:0.536581:0.741472:0.000000:0.000000:0.000000
3:@0.544057:0.761103:0.549010:0.761103:0.549010:0.751485:0.544057:0.751485:0.000000
y:@0.588984:0.757941:0.596671:0.757941:0.596671:0.741472:0.588984:0.741472:0.000000
1:@0.596671:0.761103:0.601624:0.761103:0.601624:0.751485:0.596671:0.751485:0.000000
y b:@0.620407:0.757941:0.648267:0.757941:0.648267:0.741472:0.620407:0.741472:0.000000:0.000000:0.000000
3:@0.628093:0.761103:0.633047:0.761103:0.633047:0.751485:0.628093:0.751485:0.000000
(:@0.688067:0.758562:0.694020:0.758562:0.694020:0.738765:0.688067:0.738765:0.000000
u:@0.705000:0.757941:0.714209:0.757941:0.714209:0.741472:0.705000:0.741472:0.000000
:@0.707948:0.758317:0.714363:0.758317:0.714363:0.742498:0.707948:0.742498:0.000000
2:@0.725344:0.751473:0.730298:0.751473:0.730298:0.741855:0.725344:0.741855:0.000000
w:@0.760061:0.757941:0.772275:0.757941:0.772275:0.741472:0.760061:0.741472:0.000000
:@0.764569:0.758317:0.770985:0.758317:0.770985:0.742498:0.764569:0.742498:0.000000
2:@0.782929:0.751473:0.787882:0.751473:0.787882:0.741855:0.782929:0.741855:0.000000
):@0.787881:0.758562:0.793834:0.758562:0.793834:0.738765:0.787881:0.738765:0.000000
Así, el sistema lineal de dos ecuaciones con dos incógnitas  ,       :@0.404234:0.789505:0.895913:0.789509:0.895913:0.773011:0.404234:0.773007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.827877:0.789620:0.853846:0.789620:0.853846:0.773151:0.827877:0.773151:0.000000:0.000000:0.000000
:@0.858834:0.788990:0.873487:0.788990:0.873487:0.775617:0.858834:0.775617:0.000000
:@0.878466:0.788422:0.891771:0.788422:0.891771:0.775560:0.878466:0.775560:0.000000
se escribe::@0.404245:0.806860:0.475620:0.806860:0.475620:0.790362:0.404245:0.790362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  –  )  + (  –  )  =       || ||  – || || .:@0.427979:0.831339:0.720722:0.831339:0.720722:0.814842:0.427979:0.814841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.433932:0.831454:0.441407:0.831454:0.441407:0.814986:0.433932:0.814986:0.000000
1:@0.441408:0.834616:0.446361:0.834616:0.446361:0.824998:0.441408:0.824998:0.000000
x a:@0.465144:0.831455:0.492502:0.831455:0.492502:0.814986:0.465144:0.814986:0.000000:0.000000:0.000000
2:@0.472618:0.834616:0.477571:0.834616:0.477571:0.824998:0.472618:0.824998:0.000000
y:@0.517547:0.831455:0.525234:0.831455:0.525234:0.814986:0.517547:0.814986:0.000000
1:@0.525232:0.834616:0.530185:0.834616:0.530185:0.824998:0.525232:0.824998:0.000000
y b:@0.548969:0.831455:0.576828:0.831455:0.576828:0.814986:0.548969:0.814986:0.000000:0.000000:0.000000
2:@0.556656:0.834616:0.561609:0.834616:0.561609:0.824998:0.556656:0.824998:0.000000
(:@0.616630:0.832077:0.622583:0.832077:0.622583:0.812280:0.616630:0.812280:0.000000
u:@0.633563:0.831455:0.642772:0.831455:0.642772:0.814986:0.633563:0.814986:0.000000
:@0.636511:0.831831:0.642926:0.831831:0.642926:0.816013:0.636511:0.816013:0.000000
2:@0.653907:0.824986:0.658860:0.824986:0.658860:0.815368:0.653907:0.815368:0.000000
v:@0.688624:0.831455:0.696407:0.831455:0.696407:0.814986:0.688624:0.814986:0.000000
:@0.690628:0.831831:0.697043:0.831831:0.697043:0.816013:0.690628:0.816013:0.000000
2:@0.707061:0.824986:0.712014:0.824986:0.712014:0.815368:0.707061:0.815368:0.000000
):@0.712013:0.832077:0.717966:0.832077:0.717966:0.812280:0.712013:0.812280:0.000000
(  –  )  + (  –  )  =       || ||  – || || .:@0.427967:0.862947:0.725153:0.862945:0.725153:0.846448:0.427967:0.846449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.433920:0.863062:0.441395:0.863062:0.441395:0.846594:0.433920:0.846594:0.000000
1:@0.441408:0.866223:0.446361:0.866223:0.446361:0.856605:0.441408:0.856605:0.000000
x a:@0.465144:0.863061:0.492502:0.863061:0.492502:0.846592:0.465144:0.846592:0.000000:0.000000:0.000000
3:@0.472618:0.866223:0.477571:0.866223:0.477571:0.856605:0.472618:0.856605:0.000000
y:@0.517547:0.863061:0.525234:0.863061:0.525234:0.846592:0.517547:0.846592:0.000000
1:@0.525232:0.866223:0.530185:0.866223:0.530185:0.856605:0.525232:0.856605:0.000000
y b:@0.548969:0.863061:0.576828:0.863061:0.576828:0.846592:0.548969:0.846592:0.000000:0.000000:0.000000
3:@0.556656:0.866223:0.561609:0.866223:0.561609:0.856605:0.556656:0.856605:0.000000
(:@0.616630:0.863683:0.622583:0.863683:0.622583:0.843886:0.616630:0.843886:0.000000
u:@0.633563:0.863061:0.642772:0.863061:0.642772:0.846592:0.633563:0.846592:0.000000
:@0.636511:0.863437:0.642926:0.863437:0.642926:0.847619:0.636511:0.847619:0.000000
2:@0.653907:0.856594:0.658860:0.856594:0.658860:0.846976:0.653907:0.846976:0.000000
w:@0.688624:0.863061:0.700838:0.863061:0.700838:0.846592:0.688624:0.846592:0.000000
:@0.693132:0.863437:0.699547:0.863437:0.699547:0.847619:0.693132:0.847619:0.000000
2:@0.711492:0.856594:0.716445:0.856594:0.716445:0.846976:0.711492:0.846976:0.000000
):@0.716444:0.863683:0.722397:0.863683:0.722397:0.843886:0.716444:0.843886:0.000000
 :@0.404232:0.880296:0.408374:0.880296:0.408374:0.863798:0.404232:0.863798:0.000000
Como los vectores  ,  ,   no son colineales, los vectores  ,  , defini-:@0.404232:0.897647:0.891776:0.897647:0.891776:0.881149:0.404232:0.881149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v w:@0.542324:0.897763:0.586944:0.897763:0.586944:0.881294:0.542324:0.881294:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.545254:0.898139:0.585653:0.898139:0.585653:0.882320:0.545254:0.882320:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.811037:0.897763:0.837392:0.897763:0.837392:0.881294:0.811037:0.881294:0.000000:0.000000:0.000000
 :@0.813522:0.898139:0.837546:0.898139:0.837546:0.882320:0.813522:0.882320:0.000000:0.000000:0.000000
dos como::@0.404232:0.914998:0.478498:0.914998:0.478498:0.898500:0.404232:0.898500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.445383:0.932464:0.454649:0.932464:0.454649:0.915995:0.445383:0.915995:0.000000
:@0.447906:0.932840:0.454322:0.932840:0.454322:0.917022:0.447906:0.917022:0.000000
 =   –   = (  –  ,   –  ):@0.455285:0.932348:0.636531:0.932349:0.636531:0.915851:0.455285:0.915851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.474377:0.932464:0.510306:0.932464:0.510306:0.915995:0.474377:0.915995:0.000000:0.000000:0.000000
:@0.477324:0.932840:0.483740:0.932840:0.483740:0.917022:0.477324:0.917022:0.000000
:@0.504527:0.932840:0.510942:0.932840:0.510942:0.917022:0.504527:0.917022:0.000000
x:@0.535987:0.932464:0.543462:0.932464:0.543462:0.915995:0.535987:0.915995:0.000000
1:@0.543455:0.935626:0.548408:0.935626:0.548408:0.926008:0.543455:0.926008:0.000000
x y:@0.567191:0.932464:0.594202:0.932464:0.594202:0.915996:0.567191:0.915996:0.000000:0.000000:0.000000
2:@0.574667:0.935626:0.579620:0.935626:0.579620:0.926008:0.574667:0.926008:0.000000
1:@0.594202:0.935626:0.599155:0.935626:0.599155:0.926008:0.594202:0.926008:0.000000
y ,   q:@0.617939:0.932464:0.660978:0.932464:0.660978:0.915996:0.617939:0.915996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.625626:0.935626:0.630579:0.935626:0.630579:0.926008:0.625626:0.926008:0.000000
:@0.654717:0.932840:0.661133:0.932840:0.661133:0.917022:0.654717:0.917022:0.000000
 =   –   = (  –  ,   –  ):@0.662096:0.932349:0.847779:0.932349:0.847779:0.915851:0.662096:0.915851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u w:@0.681188:0.932464:0.721548:0.932464:0.721548:0.915996:0.681188:0.915996:0.000000:0.000000:0.000000
:@0.684135:0.932840:0.690551:0.932840:0.690551:0.917022:0.684135:0.917022:0.000000
:@0.713842:0.932840:0.720258:0.932840:0.720258:0.917022:0.713842:0.917022:0.000000
x:@0.747229:0.932464:0.754704:0.932464:0.754704:0.915996:0.747229:0.915996:0.000000
1:@0.754701:0.935626:0.759655:0.935626:0.759655:0.926008:0.754701:0.926008:0.000000
x y:@0.778439:0.932464:0.805450:0.932464:0.805450:0.915996:0.778439:0.915996:0.000000:0.000000:0.000000
3:@0.785913:0.935626:0.790866:0.935626:0.790866:0.926008:0.785913:0.926008:0.000000
1:@0.805449:0.935626:0.810403:0.935626:0.810403:0.926008:0.805449:0.926008:0.000000
y ,:@0.829187:0.932464:0.850630:0.932464:0.850630:0.915996:0.829187:0.915996:0.000000:0.000000:0.000000
3:@0.836872:0.935626:0.841825:0.935626:0.841825:0.926008:0.836872:0.926008:0.000000
1:@0.669805:0.614896:0.678301:0.614896:0.678301:0.598399:0.669805:0.598399:0.000000
2:@0.669805:0.631235:0.678301:0.631235:0.678301:0.614737:0.669805:0.614737:0.000000
1:@0.675015:0.690906:0.683511:0.690906:0.683511:0.674409:0.675015:0.674409:0.000000
2:@0.675015:0.707245:0.683511:0.707245:0.683511:0.690747:0.675015:0.690747:0.000000
1:@0.673591:0.750345:0.682087:0.750345:0.682087:0.733848:0.673591:0.733848:0.000000
2:@0.673591:0.766684:0.682087:0.766684:0.682087:0.750186:0.673591:0.750186:0.000000
1:@0.601410:0.823915:0.609906:0.823915:0.609906:0.807417:0.601410:0.807417:0.000000
2:@0.601410:0.840254:0.609906:0.840254:0.609906:0.823756:0.601410:0.823756:0.000000
1:@0.601410:0.855456:0.609906:0.855456:0.609906:0.838958:0.601410:0.838958:0.000000
2:@0.601410:0.871794:0.609906:0.871794:0.609906:0.855297:0.601410:0.855297:0.000000
Competencia :@0.199644:0.103133:0.297267:0.103133:0.297267:0.087661:0.199644:0.087661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.115701:0.283707:0.115701:0.283707:0.100229:0.199644:0.100229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación cartesiana :@0.199880:0.140598:0.342708:0.140598:0.342708:0.125126:0.199880:0.125126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la recta tangente a una :@0.153337:0.156440:0.338383:0.156440:0.338383:0.140968:0.153337:0.140968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunferencia:@0.153337:0.172282:0.253284:0.172282:0.253284:0.156810:0.153337:0.156810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.153337:0.194831:0.171930:0.194831:0.171930:0.179768:0.153337:0.179768:0.000000:0.000000:0.000000
ecuación cartesiana de la :@0.171930:0.195029:0.344062:0.195029:0.344062:0.179768:0.171930:0.179768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta tangente:@0.153337:0.210871:0.251558:0.210871:0.251558:0.195610:0.153337:0.195610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    a una circun-:@0.251560:0.210673:0.354655:0.210673:0.354655:0.195610:0.251560:0.195610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.255342:0.210778:0.262501:0.210778:0.262501:0.195742:0.255342:0.195742:0.000000
ferencia  ( ,  ) en un punto :@0.153337:0.226515:0.340183:0.226513:0.340183:0.211450:0.153337:0.211452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C x r:@0.207303:0.226620:0.245639:0.226619:0.245639:0.211582:0.207303:0.211584:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.223458:0.226962:0.229315:0.226962:0.229315:0.212520:0.223458:0.212520:0.000000
0:@0.229314:0.229506:0.233836:0.229506:0.233836:0.220725:0.229314:0.220725:0.000000
dado     C( ,  ).:@0.153344:0.242355:0.266772:0.242357:0.266772:0.227294:0.153344:0.227292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.190863:0.242462:0.199270:0.242462:0.199270:0.227426:0.190863:0.227426:0.000000
:@0.192674:0.242805:0.198531:0.242805:0.198531:0.228363:0.192674:0.228363:0.000000
:@0.202313:0.241883:0.215691:0.241883:0.215691:0.229673:0.202313:0.229673:0.000000
x r:@0.235092:0.242462:0.258821:0.242462:0.258821:0.227426:0.235092:0.227426:0.000000:0.000000:0.000000
:@0.236640:0.242805:0.242497:0.242805:0.242497:0.228363:0.236640:0.228363:0.000000
0:@0.242497:0.245348:0.247019:0.245348:0.247019:0.236567:0.242497:0.236567:0.000000
Sea   > 0. Consideremos :@0.153351:0.265328:0.312910:0.265328:0.312910:0.250265:0.153351:0.250265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.179156:0.265433:0.184662:0.265433:0.184662:0.250397:0.179156:0.250397:0.000000
la circunferencia  (0,  ), cuya :@0.153351:0.281170:0.340621:0.281168:0.340621:0.266105:0.153351:0.266106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.261839:0.281274:0.271003:0.281274:0.271003:0.266238:0.261839:0.266238:0.000000
:@0.277599:0.279320:0.283456:0.279320:0.283456:0.264878:0.277599:0.264878:0.000000
r:@0.289665:0.281274:0.295171:0.281274:0.295171:0.266238:0.289665:0.266238:0.000000
ecuación cartesiana es::@0.153341:0.297010:0.300305:0.297010:0.300305:0.281947:0.153341:0.281947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )    ,   +   =  .:@0.184904:0.312852:0.329937:0.312852:0.329937:0.297790:0.184904:0.297790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.190339:0.312958:0.210478:0.312958:0.210478:0.297922:0.190339:0.297922:0.000000:0.000000:0.000000
:@0.219693:0.312353:0.232950:0.312353:0.232950:0.300253:0.219693:0.300253:0.000000
:@0.236732:0.311850:0.248828:0.311850:0.248828:0.300157:0.236732:0.300157:0.000000
2:@0.248828:0.307052:0.253350:0.307052:0.253350:0.298270:0.248828:0.298270:0.000000
x:@0.259646:0.312958:0.266470:0.312958:0.266470:0.297922:0.259646:0.297922:0.000000
2:@0.266469:0.307052:0.270992:0.307052:0.270992:0.298270:0.266469:0.298270:0.000000
y:@0.288424:0.312958:0.295442:0.312958:0.295442:0.297922:0.288424:0.297922:0.000000
2:@0.295441:0.307052:0.299963:0.307052:0.299963:0.298270:0.295441:0.298270:0.000000
r:@0.317393:0.312958:0.322899:0.312958:0.322899:0.297922:0.317393:0.297922:0.000000
2:@0.322898:0.307052:0.327420:0.307052:0.327420:0.298270:0.322898:0.298270:0.000000
Sea   = ( ,  )    (0,  ), se tiene :@0.153344:0.335822:0.357407:0.335822:0.357407:0.320759:0.153344:0.320759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.179148:0.335927:0.187555:0.335927:0.187555:0.320891:0.179148:0.320891:0.000000
:@0.180959:0.336271:0.186817:0.336271:0.186817:0.321829:0.180959:0.321829:0.000000
a b:@0.209684:0.335928:0.232639:0.335928:0.232639:0.320891:0.209684:0.320891:0.000000:0.000000:0.000000
:@0.241854:0.335348:0.255231:0.335348:0.255231:0.323138:0.241854:0.323138:0.000000
C:@0.259013:0.335927:0.268177:0.335927:0.268177:0.320891:0.259013:0.320891:0.000000
:@0.274773:0.333974:0.280630:0.333974:0.280630:0.319532:0.274773:0.319532:0.000000
r:@0.286839:0.335927:0.292345:0.335927:0.292345:0.320891:0.286839:0.320891:0.000000
a:@0.153344:0.351769:0.161541:0.351769:0.161541:0.336733:0.153344:0.336733:0.000000
2:@0.161541:0.345865:0.166063:0.345865:0.166063:0.337083:0.161541:0.337083:0.000000
 +   =  . El vector   = (– ,  ) :@0.166062:0.351664:0.362821:0.351664:0.362821:0.336601:0.166062:0.336601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.183493:0.351769:0.191954:0.351769:0.191954:0.336733:0.183493:0.336733:0.000000
2:@0.191953:0.345865:0.196475:0.345865:0.196475:0.337083:0.191953:0.337083:0.000000
r:@0.213905:0.351769:0.219411:0.351769:0.219411:0.336733:0.213905:0.336733:0.000000
2:@0.219410:0.345865:0.223932:0.345865:0.223932:0.337083:0.219410:0.337083:0.000000
v:@0.290509:0.351769:0.297615:0.351769:0.297615:0.336733:0.290509:0.336733:0.000000
:@0.292338:0.352113:0.298196:0.352113:0.298196:0.337671:0.292338:0.337671:0.000000
b a:@0.330649:0.351770:0.353604:0.351770:0.353604:0.336733:0.330649:0.336733:0.000000:0.000000:0.000000
es ortogonal a  . En efecto, :@0.153341:0.367506:0.330946:0.367506:0.330946:0.352443:0.153341:0.352443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.248945:0.367611:0.257353:0.367611:0.257353:0.352575:0.248945:0.352575:0.000000
:@0.250756:0.367955:0.256614:0.367955:0.256614:0.353513:0.250756:0.353513:0.000000
u v:@0.153344:0.383453:0.178197:0.383453:0.178197:0.368417:0.153344:0.368417:0.000000:0.000000:0.000000
 :@0.155156:0.383797:0.178778:0.383797:0.178778:0.369355:0.155156:0.369355:0.000000:0.000000:0.000000
 ·   = –  +   = 0.:@0.161013:0.383348:0.284036:0.383348:0.284036:0.368285:0.161013:0.368285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab ab:@0.205796:0.383454:0.256332:0.383454:0.256332:0.368417:0.205796:0.368417:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación cartesiana de la :@0.153342:0.406319:0.337508:0.406319:0.337508:0.391256:0.153342:0.391256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta tangente   que pasa por :@0.153342:0.422161:0.350980:0.422161:0.350980:0.407098:0.153342:0.407098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.251545:0.422266:0.258705:0.422266:0.258705:0.407230:0.251545:0.407230:0.000000
u:@0.153344:0.438107:0.161752:0.438107:0.161752:0.423071:0.153344:0.423071:0.000000
:@0.155156:0.438450:0.161013:0.438450:0.161013:0.424008:0.155156:0.424008:0.000000
 = ( ,  )   C(0,  ) es: :@0.161013:0.438002:0.296461:0.438002:0.296461:0.422938:0.161013:0.422938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.183880:0.438107:0.206835:0.438107:0.206835:0.423070:0.183880:0.423070:0.000000:0.000000:0.000000
:@0.216050:0.437528:0.229428:0.437528:0.229428:0.425318:0.216050:0.425318:0.000000
:@0.249990:0.436153:0.255847:0.436153:0.255847:0.421711:0.249990:0.421711:0.000000
r:@0.262057:0.438107:0.267563:0.438107:0.267563:0.423070:0.262057:0.423070:0.000000
x:@0.163358:0.453949:0.170183:0.453949:0.170183:0.438913:0.163358:0.438913:0.000000
:@0.164906:0.454292:0.170764:0.454292:0.170764:0.439850:0.164906:0.439850:0.000000
 = ( ,  )    ,   · (  –  ) = 0.:@0.170763:0.453844:0.351481:0.453844:0.351481:0.438780:0.170763:0.438780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.193629:0.453949:0.213769:0.453949:0.213769:0.438913:0.193629:0.438913:0.000000:0.000000:0.000000
:@0.222984:0.453344:0.236241:0.453344:0.236241:0.441244:0.222984:0.441244:0.000000
:@0.240022:0.452841:0.252118:0.452841:0.252118:0.441148:0.240022:0.441148:0.000000
2:@0.252118:0.448044:0.256640:0.448044:0.256640:0.439263:0.252118:0.439263:0.000000
u x:@0.262936:0.453949:0.292943:0.453949:0.292943:0.438913:0.262936:0.438913:0.000000:0.000000:0.000000
 :@0.264748:0.454292:0.293523:0.454292:0.293523:0.439850:0.264748:0.439850:0.000000:0.000000:0.000000
u:@0.310674:0.453949:0.319082:0.453949:0.319082:0.438913:0.310674:0.438913:0.000000
:@0.312486:0.454292:0.318343:0.454292:0.318343:0.439850:0.312486:0.439850:0.000000
Como:@0.153347:0.476814:0.194438:0.476814:0.194438:0.461751:0.153347:0.461751:0.000000:0.000000:0.000000:0.000000
u x:@0.153344:0.492762:0.183350:0.492762:0.183350:0.477726:0.153344:0.477726:0.000000:0.000000:0.000000
 :@0.155156:0.493105:0.183931:0.493105:0.183931:0.478663:0.155156:0.478663:0.000000:0.000000:0.000000
 · (  –  ) =   ·   –   ·  , :@0.161013:0.492656:0.305632:0.492656:0.305632:0.477593:0.161013:0.477593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.201082:0.492762:0.209489:0.492762:0.209489:0.477726:0.201082:0.477726:0.000000
:@0.202893:0.493105:0.208750:0.493105:0.208750:0.478663:0.202893:0.478663:0.000000
u x:@0.231616:0.492762:0.256188:0.492762:0.256188:0.477726:0.231616:0.477726:0.000000:0.000000:0.000000
 :@0.233428:0.493105:0.256769:0.493105:0.256769:0.478663:0.233428:0.478663:0.000000:0.000000:0.000000
u u:@0.273918:0.492762:0.300073:0.492762:0.300073:0.477726:0.273918:0.477726:0.000000:0.000000:0.000000
 :@0.275729:0.493105:0.299334:0.493105:0.299334:0.478663:0.275729:0.478663:0.000000:0.000000:0.000000
y      C(0,  ),  entonces, :@0.153337:0.508498:0.312963:0.508498:0.312963:0.493435:0.153337:0.493435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.168049:0.508604:0.176457:0.508604:0.176457:0.493568:0.168049:0.493568:0.000000
:@0.169861:0.508947:0.175718:0.508947:0.175718:0.494505:0.169861:0.494505:0.000000
:@0.179499:0.508025:0.192877:0.508025:0.192877:0.495815:0.179499:0.495815:0.000000
r:@0.226332:0.508604:0.231838:0.508604:0.231838:0.493567:0.226332:0.493567:0.000000
|| ||  =   ·   =  . Además, :@0.153351:0.524340:0.322560:0.524340:0.322560:0.509277:0.153351:0.509277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.163370:0.524446:0.171778:0.524446:0.171778:0.509410:0.163370:0.509410:0.000000
:@0.165182:0.524789:0.171039:0.524789:0.171039:0.510347:0.165182:0.510347:0.000000
2:@0.181416:0.518540:0.185938:0.518540:0.185938:0.509758:0.181416:0.509758:0.000000
u u r:@0.203370:0.524446:0.251724:0.524446:0.251724:0.509409:0.203370:0.509410:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.205182:0.524789:0.228786:0.524789:0.228786:0.510347:0.205182:0.510347:0.000000:0.000000:0.000000
2:@0.251722:0.518540:0.256245:0.518540:0.256245:0.509758:0.251722:0.509758:0.000000
u x:@0.153344:0.540288:0.177916:0.540288:0.177916:0.525252:0.153344:0.525252:0.000000:0.000000:0.000000
 :@0.155156:0.540631:0.178496:0.540631:0.178496:0.526189:0.155156:0.526189:0.000000:0.000000:0.000000
 ·   = :@0.161013:0.540182:0.195928:0.540182:0.195928:0.525119:0.161013:0.525119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x y y:@0.195928:0.540288:0.250090:0.540288:0.250090:0.525251:0.195928:0.525251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.202752:0.543174:0.207274:0.543174:0.207274:0.534392:0.202752:0.534392:0.000000
 + :@0.214100:0.540182:0.231532:0.540182:0.231532:0.525119:0.214100:0.525119:0.000000:0.000000:0.000000
1:@0.238548:0.543174:0.243071:0.543174:0.243071:0.534392:0.238548:0.534392:0.000000
.:@0.250090:0.540182:0.252605:0.540182:0.252605:0.525119:0.250090:0.525119:0.000000
La ecuación de la recta tangen-:@0.153345:0.563153:0.355785:0.563153:0.355785:0.548090:0.153345:0.548090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te   a la circunferencia C(0,  ) en :@0.153345:0.578995:0.363718:0.578994:0.363718:0.563931:0.153345:0.563932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.169967:0.579101:0.177126:0.579101:0.177126:0.564064:0.169967:0.564064:0.000000
:@0.317124:0.577146:0.322981:0.577146:0.322981:0.562704:0.317124:0.562704:0.000000
r:@0.329189:0.579100:0.334694:0.579100:0.334694:0.564063:0.329189:0.564063:0.000000
el punto   = ( ,  ) está definida :@0.153341:0.594836:0.361202:0.594836:0.361202:0.579773:0.153341:0.579773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.212006:0.594942:0.220413:0.594942:0.220413:0.579905:0.212006:0.579905:0.000000
:@0.213817:0.595285:0.219675:0.595285:0.219675:0.580843:0.213817:0.580843:0.000000
a b:@0.242542:0.594942:0.265497:0.594942:0.265497:0.579905:0.242542:0.579905:0.000000:0.000000:0.000000
como::@0.153343:0.610678:0.194011:0.610678:0.194011:0.595615:0.153343:0.595615:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )    , :@0.181100:0.626520:0.255848:0.626520:0.255848:0.611457:0.181100:0.611457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.186535:0.626626:0.206676:0.626626:0.206676:0.611589:0.186535:0.611589:0.000000:0.000000:0.000000
:@0.215896:0.626020:0.229153:0.626020:0.229153:0.613921:0.215896:0.613921:0.000000
:@0.232933:0.625517:0.245028:0.625517:0.245028:0.613824:0.232933:0.613824:0.000000
2:@0.245028:0.620721:0.249550:0.620721:0.249550:0.611939:0.245028:0.611939:0.000000
ax  by  r:@0.255847:0.626626:0.326699:0.626626:0.326699:0.611589:0.255847:0.611589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ :@0.274668:0.626520:0.288318:0.626520:0.288318:0.611457:0.274668:0.611457:0.000000:0.000000
=  .:@0.307544:0.626520:0.333736:0.626520:0.333736:0.611457:0.307544:0.611457:0.000000:0.000000:0.000000:0.000000
2:@0.326698:0.620719:0.331220:0.620719:0.331220:0.611938:0.326698:0.611938:0.000000
Observemos que :@0.153351:0.649491:0.268337:0.649491:0.268337:0.634428:0.153351:0.634428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.153344:0.665437:0.161752:0.665437:0.161752:0.650401:0.153344:0.650401:0.000000
:@0.155156:0.665780:0.161013:0.665780:0.161013:0.651338:0.155156:0.651338:0.000000
 = ( ,  )    , pues haciendo :@0.161011:0.665332:0.345190:0.665332:0.345190:0.650269:0.161011:0.650269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.183878:0.665437:0.206833:0.665437:0.206833:0.650401:0.183878:0.650401:0.000000:0.000000:0.000000
:@0.216050:0.664832:0.229307:0.664832:0.229307:0.652732:0.216050:0.652732:0.000000
L:@0.233089:0.665437:0.240248:0.665437:0.240248:0.650401:0.233089:0.650401:0.000000
x a y b,:@0.153353:0.681279:0.227231:0.681279:0.227231:0.666243:0.153353:0.666243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =  ,   =   obtenemos :@0.160178:0.681174:0.308990:0.681174:0.308990:0.666111:0.160178:0.666111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax  by  a:@0.153353:0.697121:0.226885:0.697121:0.226885:0.682085:0.153353:0.682085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ :@0.172174:0.697016:0.185824:0.697016:0.185824:0.681953:0.172174:0.681953:0.000000:0.000000
=   +   =  .:@0.205050:0.697016:0.291793:0.697016:0.291793:0.681953:0.205050:0.681953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.226885:0.691216:0.231407:0.691216:0.231407:0.682435:0.226885:0.682435:0.000000
b:@0.248838:0.697121:0.257298:0.697121:0.257298:0.682085:0.248838:0.682085:0.000000
2:@0.257298:0.691216:0.261820:0.691216:0.261820:0.682435:0.257298:0.682435:0.000000
r:@0.279252:0.697121:0.284757:0.697121:0.284757:0.682085:0.279252:0.682085:0.000000
2:@0.284756:0.691216:0.289279:0.691216:0.289279:0.682435:0.284756:0.682435:0.000000
En la Figura 2.15. se muestra la :@0.153342:0.719986:0.351668:0.719986:0.351668:0.704923:0.153342:0.704923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunferencia C(0,  ), el vector :@0.153342:0.735828:0.353429:0.735828:0.353429:0.720765:0.153342:0.720765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.264196:0.733980:0.270053:0.733980:0.270053:0.719538:0.264196:0.719538:0.000000
r:@0.276261:0.735934:0.281767:0.735934:0.281767:0.720897:0.276261:0.720897:0.000000
u:@0.153344:0.751776:0.161752:0.751776:0.161752:0.736740:0.153344:0.736740:0.000000
:@0.155156:0.752119:0.161013:0.752119:0.161013:0.737677:0.155156:0.737677:0.000000
   C(0,  ),       y la recta   :@0.161013:0.751670:0.341392:0.751670:0.341392:0.736607:0.161013:0.736607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.164794:0.751171:0.178051:0.751171:0.178051:0.739071:0.164794:0.739071:0.000000
:@0.198614:0.749822:0.204471:0.749822:0.204471:0.735380:0.198614:0.735380:0.000000
r u:@0.210679:0.751776:0.236325:0.751776:0.236325:0.736740:0.210679:0.736739:0.000000:0.000000:0.000000
:@0.229729:0.752119:0.235586:0.752119:0.235586:0.737677:0.229729:0.737677:0.000000
:@0.239367:0.750668:0.253322:0.750668:0.253322:0.738975:0.239367:0.738975:0.000000
v:@0.257103:0.751776:0.264209:0.751776:0.264209:0.736740:0.257103:0.736740:0.000000
:@0.258932:0.752119:0.264790:0.752119:0.264790:0.737677:0.258932:0.737677:0.000000
L:@0.330451:0.751776:0.337610:0.751776:0.337610:0.736739:0.330451:0.736739:0.000000
que pasa por  .:@0.153339:0.767512:0.252021:0.767512:0.252021:0.752449:0.153339:0.752449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.241837:0.767618:0.250244:0.767618:0.250244:0.752582:0.241837:0.752582:0.000000
:@0.243648:0.767961:0.249506:0.767961:0.249506:0.753519:0.243648:0.753519:0.000000
p:@0.153061:0.914469:0.164541:0.914469:0.164541:0.904445:0.153061:0.904445:0.000000
 :@0.164541:0.915177:0.167423:0.915177:0.167423:0.903701:0.164541:0.903701:0.000000
Figura 2.15.:@0.167423:0.915177:0.221901:0.915177:0.221901:0.903701:0.167423:0.903701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.323706:0.897426:0.329842:0.897426:0.329842:0.884538:0.323706:0.884538:0.000000
0:@0.225354:0.867530:0.232372:0.867530:0.232372:0.853901:0.225354:0.853901:0.000000
y:@0.220962:0.794609:0.227423:0.794609:0.227423:0.780981:0.220962:0.780981:0.000000
x:@0.347850:0.870050:0.354455:0.870050:0.354455:0.856421:0.347850:0.856421:0.000000
u:@0.266717:0.856272:0.273924:0.856272:0.273924:0.843384:0.266717:0.843384:0.000000
:@0.268647:0.856566:0.273668:0.856566:0.273668:0.844187:0.268647:0.844187:0.000000
v:@0.216887:0.850026:0.222979:0.850026:0.222979:0.837137:0.216887:0.837137:0.000000
:@0.218455:0.850320:0.223476:0.850320:0.223476:0.837941:0.218455:0.837941:0.000000
v:@0.276216:0.830065:0.282307:0.830065:0.282307:0.817176:0.276216:0.817176:0.000000
:@0.277784:0.830359:0.282805:0.830359:0.282805:0.817980:0.277784:0.817980:0.000000
a:@0.275901:0.863673:0.282146:0.863673:0.282146:0.852216:0.275901:0.852216:0.000000
b:@0.227346:0.842651:0.233792:0.842651:0.233792:0.831194:0.227346:0.831194:0.000000