﻿217:@0.918848:0.966558:0.943044:0.966558:0.943044:0.950778:0.918848:0.950778:0.000000:0.000000:0.000000
Veamos otra forma de calcular la distancia de   a la recta :@0.108233:0.103776:0.537723:0.103776:0.537723:0.087278:0.108233:0.087278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.496076:0.095740:0.500994:0.095740:0.500994:0.086191:0.496076:0.086191:0.000000
x:@0.451473:0.103891:0.458948:0.103891:0.458948:0.087423:0.451473:0.087423:0.000000
:@0.481373:0.107015:0.495282:0.107015:0.495282:0.085355:0.481373:0.085355:0.000000
∈:@0.463880:0.104412:0.477616:0.104412:0.477616:0.088131:0.463880:0.088131:0.000000
,:@0.571919:0.102835:0.574715:0.102835:0.574715:0.086092:0.571919:0.086092:0.000000
LA B:@0.542007:0.102952:0.585388:0.102952:0.585388:0.086239:0.542007:0.086239:0.000000:0.000000:0.000000:0.000000
B V:@0.608946:0.102952:0.642750:0.102952:0.642750:0.086239:0.608946:0.086239:0.000000:0.000000:0.000000
B tA t:@0.669182:0.102952:0.720738:0.102952:0.720738:0.086239:0.669182:0.086239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.742712:0.106121:0.756828:0.106121:0.756828:0.084141:0.742712:0.084141:0.000000
( ):@0.551465:0.109669:0.592247:0.109669:0.592247:0.081251:0.551465:0.081251:0.000000:0.000000:0.000000
{:@0.659950:0.107316:0.669334:0.107316:0.669334:0.083854:0.659950:0.083854:0.000000
}:@0.756863:0.107316:0.766247:0.107316:0.766247:0.083854:0.756863:0.083854:0.000000
=+ =:@0.595294:0.103480:0.657817:0.103480:0.657817:0.086958:0.595294:0.086958:0.000000:0.000000:0.000000:0.000000
+:@0.681024:0.103480:0.691757:0.103480:0.691757:0.086958:0.681024:0.086958:0.000000
∈:@0.724974:0.103480:0.738914:0.103480:0.738914:0.086958:0.724974:0.086958:0.000000
. :@0.593012:0.103776:0.599909:0.103776:0.599909:0.087278:0.593012:0.087278:0.000000:0.000000
La recta perpendicular a :@0.108241:0.124264:0.282844:0.124264:0.282844:0.107766:0.108241:0.107766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( , )):@0.293950:0.124410:0.342095:0.125433:0.342095:0.108799:0.293950:0.107776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L A B B:@0.285967:0.124526:0.335355:0.125550:0.335355:0.108945:0.285967:0.107922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( , ) , ):@0.266929:0.149809:0.308187:0.150832:0.308187:0.134618:0.266929:0.133595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
||:@0.379702:0.149809:0.388677:0.150832:0.388677:0.134618:0.379702:0.133595:0.000000:0.000000
,,:@0.434763:0.149809:0.441523:0.150832:0.441523:0.134618:0.434763:0.133595:0.000000:0.000000
L C x x:@0.259128:0.149923:0.301143:0.150946:0.301143:0.134760:0.259128:0.133737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.333672:0.149923:0.345071:0.150946:0.345071:0.134760:0.333672:0.133737:0.000000:0.000000:0.000000
tC tt:@0.361335:0.149923:0.396005:0.150946:0.396005:0.134760:0.361335:0.133737:0.000000:0.000000:0.000000:0.000000:0.000000
{ {:@0.323535:0.154194:0.337055:0.155217:0.337055:0.127694:0.323535:0.126670:0.000000:0.000000:0.000000
} }:@0.423773:0.154194:0.437293:0.155217:0.437293:0.127694:0.423773:0.126670:0.000000:0.000000:0.000000
= =:@0.306571:0.149780:0.325355:0.150804:0.325355:0.133708:0.306571:0.132685:0.000000:0.000000:0.000000
+ +:@0.344516:0.149780:0.363299:0.150804:0.363299:0.133708:0.344516:0.132685:0.000000:0.000000:0.000000
∈ ∈:@0.394692:0.149780:0.411374:0.150804:0.411374:0.133708:0.394692:0.132685:0.000000:0.000000:0.000000
 que pasa por   está definida como:@0.343790:0.124270:0.595754:0.124270:0.595754:0.107772:0.343790:0.107772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.491575:0.116234:0.496492:0.116234:0.496492:0.106685:0.491575:0.106685:0.000000
x:@0.446972:0.124385:0.454446:0.124385:0.454446:0.107917:0.446972:0.107917:0.000000
:@0.476871:0.127509:0.490781:0.127509:0.490781:0.105849:0.476871:0.105849:0.000000
∈:@0.459378:0.124906:0.473114:0.124906:0.473114:0.108625:0.459378:0.108625:0.000000
( ,:@0.298003:0.125433:0.320010:0.125433:0.320010:0.108799:0.298003:0.108799:0.000000:0.000000:0.000000
L A:@0.290019:0.125550:0.316145:0.125550:0.316145:0.108945:0.290019:0.108945:0.000000:0.000000:0.000000
(:@0.270981:0.150832:0.276832:0.150832:0.276832:0.134618:0.270981:0.134618:0.000000
L C:@0.263180:0.150946:0.286242:0.150946:0.286242:0.134760:0.263180:0.134760:0.000000:0.000000:0.000000
tC:@0.365388:0.150946:0.380800:0.150946:0.380800:0.134760:0.365388:0.134760:0.000000:0.000000
donde :@0.108233:0.182195:0.159267:0.182195:0.159267:0.165697:0.108233:0.165697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.161966:0.182696:0.172440:0.182696:0.172440:0.165511:0.161966:0.165511:0.000000
A:@0.195478:0.182696:0.207238:0.182696:0.207238:0.165511:0.195478:0.165511:0.000000
C:@0.161966:0.208073:0.172440:0.208073:0.172440:0.190888:0.161966:0.190888:0.000000
⊥:@0.177044:0.183239:0.190271:0.183239:0.190271:0.166250:0.177044:0.166250:0.000000
. Tal vector   se puede seleccionar como   = (1, –2). :@0.209711:0.182195:0.599928:0.182195:0.599928:0.165697:0.209711:0.165697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.293659:0.157550:0.304132:0.157550:0.304132:0.140365:0.293659:0.140365:0.000000
A:@0.327170:0.157550:0.338930:0.157550:0.338930:0.140365:0.327170:0.140365:0.000000
C:@0.293659:0.182927:0.304132:0.182927:0.304132:0.165742:0.293659:0.165742:0.000000
⊥:@0.308736:0.158093:0.321963:0.158093:0.321963:0.141104:0.308736:0.141104:0.000000
C:@0.512611:0.157550:0.523084:0.157550:0.523084:0.140365:0.512611:0.140365:0.000000
A:@0.546122:0.157550:0.557882:0.157550:0.557882:0.140365:0.546122:0.140365:0.000000
C:@0.512611:0.182927:0.523084:0.182927:0.523084:0.165742:0.512611:0.165742:0.000000
⊥:@0.527688:0.158093:0.540916:0.158093:0.540916:0.141104:0.527688:0.141104:0.000000
La ecuación cartesiana de :@0.108240:0.203941:0.293837:0.203941:0.293837:0.187443:0.108240:0.187443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.326230:0.203005:0.329026:0.203005:0.329026:0.186263:0.326230:0.186263:0.000000
LA B:@0.296318:0.203122:0.339701:0.203122:0.339701:0.186410:0.296318:0.186410:0.000000:0.000000:0.000000:0.000000
B V:@0.363259:0.203122:0.397062:0.203122:0.397062:0.186410:0.363259:0.186410:0.000000:0.000000:0.000000
B tA t:@0.423495:0.203122:0.475050:0.203122:0.475050:0.186410:0.423495:0.186410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.497025:0.206292:0.511141:0.206292:0.511141:0.184311:0.497025:0.184311:0.000000
( ):@0.305777:0.209840:0.346560:0.209840:0.346560:0.181422:0.305777:0.181422:0.000000:0.000000:0.000000
{:@0.414262:0.207486:0.423647:0.207486:0.423647:0.184025:0.414262:0.184025:0.000000
}:@0.511175:0.207486:0.520560:0.207486:0.520560:0.184025:0.511175:0.184025:0.000000
=+ =:@0.349607:0.203651:0.412130:0.203651:0.412130:0.187129:0.349607:0.187129:0.000000:0.000000:0.000000:0.000000
+:@0.435337:0.203651:0.446070:0.203651:0.446070:0.187129:0.435337:0.187129:0.000000
∈:@0.479287:0.203651:0.493226:0.203651:0.493226:0.187129:0.479287:0.187129:0.000000
 es   – 2  + 2 = 0, y la ecuación car-:@0.347325:0.203946:0.595770:0.203946:0.595770:0.187448:0.347325:0.187448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.369769:0.204062:0.377244:0.204062:0.377244:0.187593:0.369769:0.187593:0.000000
y:@0.404312:0.204062:0.411998:0.204062:0.411998:0.187593:0.404312:0.187593:0.000000
tesiana de :@0.108243:0.223177:0.184514:0.223177:0.184514:0.206679:0.108243:0.206679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.148727:0.223669:0.151482:0.223669:0.151482:0.207172:0.148727:0.207172:0.000000
P:@0.083032:0.223785:0.091817:0.223785:0.091817:0.207316:0.083032:0.207316:0.000000
L AB:@0.119251:0.223785:0.162020:0.223785:0.162020:0.207316:0.119251:0.207316:0.000000:0.000000:0.000000:0.000000
LC x:@0.187100:0.223785:0.228597:0.223785:0.228597:0.207316:0.187100:0.207316:0.000000:0.000000:0.000000:0.000000
=:@0.105014:0.224421:0.115880:0.224421:0.115880:0.205422:0.105014:0.205422:0.000000
, .:@0.214267:0.224421:0.242491:0.224421:0.242491:0.205422:0.214267:0.205422:0.000000:0.000000:0.000000
( ) ( ):@0.128572:0.229080:0.236824:0.229080:0.236824:0.203845:0.128572:0.203845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{}:@0.073917:0.228085:0.102006:0.228085:0.102006:0.204967:0.073917:0.204967:0.000000:0.000000
∩:@0.170820:0.224306:0.185616:0.224306:0.185616:0.208025:0.170820:0.208025:0.000000
 es 2  +   – 4 = 0. Sea :@0.238825:0.223183:0.402233:0.223183:0.402233:0.206685:0.238825:0.206685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.271749:0.223299:0.279224:0.223299:0.279224:0.206830:0.271749:0.206830:0.000000
y:@0.300088:0.223299:0.307775:0.223299:0.307775:0.206830:0.300088:0.206830:0.000000
,:@0.479771:0.223183:0.482526:0.223183:0.482526:0.206685:0.479771:0.206685:0.000000
P:@0.414077:0.223299:0.422861:0.223299:0.422861:0.206830:0.414077:0.206830:0.000000
L AB:@0.450295:0.223299:0.493064:0.223299:0.493064:0.206830:0.450295:0.206830:0.000000:0.000000:0.000000:0.000000
LC x:@0.518147:0.223299:0.559645:0.223299:0.559645:0.206830:0.518147:0.206830:0.000000:0.000000:0.000000:0.000000
=:@0.436059:0.223935:0.446925:0.223935:0.446925:0.204936:0.436059:0.204936:0.000000
, .:@0.545312:0.223935:0.573533:0.223935:0.573533:0.204936:0.545312:0.204936:0.000000:0.000000:0.000000
( ) ( ):@0.459616:0.228595:0.567863:0.228595:0.567863:0.203359:0.459616:0.203359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{}:@0.404962:0.227600:0.433050:0.227600:0.433050:0.204481:0.404962:0.204481:0.000000:0.000000
∩:@0.501864:0.223819:0.516660:0.223819:0.516660:0.207538:0.501864:0.207538:0.000000
Tal :@0.575732:0.223183:0.599910:0.223183:0.599910:0.206685:0.575732:0.206685:0.000000:0.000000:0.000000:0.000000
punto   es solución del sistema de ecuaciones:@0.108241:0.243671:0.441934:0.243677:0.441934:0.227179:0.108241:0.227174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.159368:0.242535:0.168153:0.242535:0.168153:0.226066:0.159368:0.226066:0.000000
 :@0.292940:0.277945:0.297082:0.277945:0.297082:0.261447:0.292940:0.261447:0.000000
x:@0.305668:0.270654:0.313143:0.270654:0.313143:0.254185:0.305668:0.254185:0.000000
 – 2  + 2 = 0:@0.313143:0.270538:0.403285:0.270538:0.403285:0.254040:0.313143:0.254040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.340423:0.270654:0.348110:0.270654:0.348110:0.254185:0.340423:0.254185:0.000000
2  +   – 4 = 0.:@0.305668:0.287889:0.406040:0.287889:0.406040:0.271391:0.305668:0.271391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.314164:0.288004:0.348418:0.288004:0.348418:0.271536:0.314164:0.271536:0.000000:0.000000:0.000000
Se tiene :@0.108238:0.309751:0.168421:0.309751:0.168421:0.293253:0.108238:0.293253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.200142:0.300399:0.208638:0.300399:0.208638:0.283901:0.200142:0.283901:0.000000
5:@0.199932:0.320751:0.208428:0.320751:0.208428:0.304253:0.199932:0.304253:0.000000
8:@0.249509:0.300399:0.258005:0.300399:0.258005:0.283901:0.249509:0.283901:0.000000
5:@0.249509:0.320751:0.258005:0.320751:0.258005:0.304253:0.249509:0.304253:0.000000
.  Luego, el punto de intersección de estas dos :@0.261549:0.309749:0.588774:0.309749:0.588774:0.293252:0.261549:0.293252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.172133:0.309865:0.179608:0.309865:0.179608:0.293396:0.172133:0.293396:0.000000
y:@0.221915:0.309865:0.229602:0.309865:0.229602:0.293396:0.221915:0.293396:0.000000
=, =:@0.183966:0.310501:0.244613:0.310501:0.244613:0.291502:0.183966:0.291502:0.000000:0.000000:0.000000:0.000000
rectas es :@0.108241:0.347473:0.173165:0.347473:0.173165:0.330975:0.108241:0.330975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Entonces, :@0.264938:0.347468:0.341227:0.347468:0.341227:0.330971:0.264938:0.330971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.473030:0.385187:0.475785:0.385187:0.475785:0.368690:0.473030:0.368690:0.000000
y en consecuencia, :@0.108242:0.412602:0.245101:0.412602:0.245101:0.396104:0.108242:0.396104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.342366:0.436313:0.350772:0.436313:0.350772:0.419990:0.342366:0.419990:0.000000
5:@0.336667:0.456456:0.345073:0.456456:0.345073:0.440133:0.336667:0.440133:0.000000
mín:@0.418860:0.447243:0.447509:0.447243:0.447509:0.430920:0.418860:0.430920:0.000000:0.000000:0.000000
dx P:@0.198319:0.445254:0.240007:0.445254:0.240007:0.428960:0.198319:0.428960:0.000000:0.000000:0.000000:0.000000
x P:@0.272297:0.445254:0.303881:0.445254:0.303881:0.428960:0.272297:0.428960:0.000000:0.000000:0.000000
D:@0.376772:0.445254:0.388285:0.445254:0.388285:0.428960:0.376772:0.428960:0.000000
xy:@0.462640:0.445252:0.494701:0.445252:0.494701:0.428958:0.462640:0.428958:0.000000:0.000000
yL AB:@0.412552:0.454863:0.450439:0.454863:0.450439:0.445431:0.412552:0.445431:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.225667:0.445882:0.230433:0.445882:0.230433:0.427084:0.225667:0.427084:0.000000
=:@0.251457:0.445882:0.262208:0.445882:0.262208:0.427084:0.251457:0.427084:0.000000
=:@0.314284:0.445882:0.325034:0.445882:0.325034:0.427084:0.314284:0.427084:0.000000
=:@0.357077:0.445882:0.367827:0.445882:0.367827:0.427084:0.357077:0.427084:0.000000
=:@0.397271:0.445882:0.408021:0.445882:0.408021:0.427084:0.397271:0.427084:0.000000
.:@0.502203:0.445882:0.506969:0.445882:0.506969:0.427084:0.502203:0.427084:0.000000
,:@0.442438:0.455227:0.445197:0.455227:0.445197:0.444347:0.442438:0.444347:0.000000
( ):@0.209093:0.450491:0.248073:0.450491:0.248073:0.425523:0.209093:0.425523:0.000000:0.000000:0.000000
−:@0.283006:0.445767:0.293471:0.445767:0.293471:0.429659:0.283006:0.429659:0.000000
−:@0.473353:0.445767:0.483817:0.445767:0.483817:0.429659:0.473353:0.429659:0.000000
( ):@0.430939:0.458644:0.454296:0.458644:0.454296:0.442794:0.430939:0.442794:0.000000:0.000000:0.000000
∈:@0.417834:0.455161:0.425701:0.455161:0.425701:0.445837:0.417834:0.445837:0.000000
En la figura 5.2. se muestra el punto (1, 2), la recta  (:@0.108233:0.483929:0.467513:0.483929:0.467513:0.467432:0.108233:0.467432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L A, B:@0.453719:0.484045:0.494735:0.484045:0.494735:0.467576:0.453719:0.467576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) que pasa por :@0.494735:0.483929:0.599902:0.483929:0.599902:0.467432:0.494735:0.467432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.110352:0.504552:0.119541:0.504552:0.119541:0.488083:0.110352:0.488083:0.000000
A:@0.111503:0.530551:0.122774:0.530551:0.122774:0.514083:0.111503:0.514083:0.000000
LC x:@0.110348:0.557705:0.155640:0.557705:0.155640:0.541237:0.110348:0.541237:0.000000:0.000000:0.000000:0.000000
LA B:@0.110348:0.584816:0.157355:0.584816:0.157355:0.568347:0.110348:0.568347:0.000000:0.000000:0.000000:0.000000
( ):@0.119251:0.563883:0.164448:0.563883:0.164448:0.534903:0.119251:0.534903:0.000000:0.000000:0.000000
( ):@0.136841:0.507351:0.172212:0.507351:0.172212:0.485372:0.136841:0.485372:0.000000:0.000000:0.000000
( ):@0.139981:0.533371:0.174774:0.533371:0.174774:0.511392:0.139981:0.511392:0.000000:0.000000:0.000000
(:@0.119252:0.587635:0.125667:0.587635:0.125667:0.565656:0.119252:0.565656:0.000000
):@0.156684:0.587635:0.163100:0.587635:0.163100:0.565656:0.156684:0.565656:0.000000
0, 1:@0.144380:0.504436:0.167517:0.504436:0.167517:0.487938:0.144380:0.487938:0.000000:0.000000:0.000000:0.000000
2, 1:@0.147102:0.530436:0.170240:0.530436:0.170240:0.513938:0.147102:0.513938:0.000000:0.000000:0.000000:0.000000
=:@0.123020:0.505188:0.133886:0.505188:0.133886:0.486189:0.123020:0.486189:0.000000
=:@0.126161:0.531188:0.137027:0.531188:0.137027:0.512189:0.126161:0.512189:0.000000
,:@0.137528:0.558342:0.142344:0.558342:0.142344:0.539343:0.137528:0.539343:0.000000
,:@0.138684:0.585452:0.143500:0.585452:0.143500:0.566453:0.138684:0.566453:0.000000
.:@0.163151:0.585452:0.167967:0.585452:0.167967:0.566453:0.163151:0.566453:0.000000
 y es paralela a :@0.175243:0.504110:0.280681:0.504110:0.280681:0.487613:0.175243:0.487613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.282927:0.478262:0.292117:0.478262:0.292117:0.461793:0.282927:0.461793:0.000000
A:@0.284080:0.504261:0.295350:0.504261:0.295350:0.487793:0.284080:0.487793:0.000000
LC x:@0.282927:0.531411:0.328220:0.531411:0.328220:0.514943:0.282927:0.514943:0.000000:0.000000:0.000000:0.000000
LA B:@0.282927:0.558522:0.329934:0.558522:0.329934:0.542053:0.282927:0.542053:0.000000:0.000000:0.000000:0.000000
( ):@0.291828:0.537594:0.337024:0.537594:0.337024:0.508614:0.291828:0.508614:0.000000:0.000000:0.000000
( ):@0.309418:0.481061:0.344789:0.481061:0.344789:0.459082:0.309418:0.459082:0.000000:0.000000:0.000000
( ):@0.312558:0.507081:0.347351:0.507081:0.347351:0.485101:0.312558:0.485101:0.000000:0.000000:0.000000
(:@0.291828:0.561345:0.298244:0.561345:0.298244:0.539366:0.291828:0.539366:0.000000
):@0.329261:0.561345:0.335676:0.561345:0.335676:0.539366:0.329261:0.539366:0.000000
0, 1:@0.316956:0.478146:0.340094:0.478146:0.340094:0.461648:0.316956:0.461648:0.000000:0.000000:0.000000:0.000000
2, 1:@0.319678:0.504146:0.342816:0.504146:0.342816:0.487648:0.319678:0.487648:0.000000:0.000000:0.000000:0.000000
=:@0.295597:0.478898:0.306462:0.478898:0.306462:0.459899:0.295597:0.459899:0.000000
=:@0.298737:0.504895:0.309603:0.504895:0.309603:0.485896:0.298737:0.485896:0.000000
,:@0.310104:0.532049:0.314920:0.532049:0.314920:0.513050:0.310104:0.513050:0.000000
,:@0.311260:0.559159:0.316076:0.559159:0.316076:0.540160:0.311260:0.540160:0.000000
.:@0.335726:0.559159:0.340543:0.559159:0.340543:0.540160:0.335726:0.540160:0.000000
, así como la recta :@0.348315:0.504110:0.479221:0.504110:0.479221:0.487613:0.348315:0.487613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.479520:0.450978:0.488709:0.450978:0.488709:0.434509:0.479520:0.434509:0.000000
A:@0.480676:0.476975:0.491946:0.476975:0.491946:0.460507:0.480676:0.460507:0.000000
LC x:@0.479520:0.504129:0.524822:0.504128:0.524822:0.487659:0.479520:0.487661:0.000000:0.000000:0.000000:0.000000
LA B:@0.479520:0.531239:0.526527:0.531239:0.526527:0.514770:0.479520:0.514770:0.000000:0.000000:0.000000:0.000000
( ):@0.488419:0.510309:0.533615:0.510309:0.533615:0.481329:0.488419:0.481329:0.000000:0.000000:0.000000
( ):@0.506009:0.453778:0.541380:0.453778:0.541380:0.431798:0.506009:0.431798:0.000000:0.000000:0.000000
( ):@0.509149:0.479797:0.543942:0.479797:0.543942:0.457818:0.509149:0.457818:0.000000:0.000000:0.000000
(:@0.488419:0.534062:0.494835:0.534062:0.494835:0.512082:0.488419:0.512082:0.000000
):@0.525852:0.534062:0.532267:0.534062:0.532267:0.512082:0.525852:0.512082:0.000000
0, 1:@0.513547:0.450862:0.536685:0.450862:0.536685:0.434365:0.513547:0.434365:0.000000:0.000000:0.000000:0.000000
2, 1:@0.516283:0.476860:0.539420:0.476860:0.539420:0.460362:0.516283:0.460362:0.000000:0.000000:0.000000:0.000000
=:@0.492201:0.451614:0.503067:0.451614:0.503067:0.432615:0.492201:0.432615:0.000000
=:@0.495342:0.477612:0.506207:0.477612:0.506207:0.458612:0.495342:0.458612:0.000000
,:@0.506690:0.504764:0.511507:0.504764:0.511507:0.485765:0.506690:0.485765:0.000000
,:@0.507841:0.531875:0.512658:0.531875:0.512658:0.512876:0.507841:0.512876:0.000000
.:@0.532308:0.531875:0.537125:0.531875:0.537125:0.512876:0.532308:0.512876:0.000000
, ortogo-:@0.534402:0.504110:0.595762:0.504110:0.595762:0.487613:0.534402:0.487613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nal a :@0.108236:0.521519:0.145495:0.521519:0.145495:0.505021:0.108236:0.505021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.146688:0.442115:0.155878:0.442115:0.155878:0.425647:0.146688:0.425647:0.000000
A:@0.147844:0.468113:0.159114:0.468113:0.159114:0.451644:0.147844:0.451644:0.000000
LC x:@0.146688:0.495267:0.191981:0.495267:0.191981:0.478798:0.146688:0.478798:0.000000:0.000000:0.000000:0.000000
LA B:@0.146688:0.522377:0.193705:0.522377:0.193705:0.505908:0.146688:0.505908:0.000000:0.000000:0.000000:0.000000
( ):@0.155589:0.501447:0.200785:0.501447:0.200785:0.472468:0.155589:0.472468:0.000000:0.000000:0.000000
( ):@0.173179:0.444915:0.208550:0.444915:0.208550:0.422936:0.173179:0.422936:0.000000:0.000000:0.000000
( ):@0.176319:0.470934:0.211112:0.470934:0.211112:0.448955:0.176319:0.448955:0.000000:0.000000:0.000000
(:@0.155590:0.525199:0.162005:0.525199:0.162005:0.503220:0.155590:0.503220:0.000000
):@0.193022:0.525199:0.199437:0.525199:0.199437:0.503220:0.193022:0.503220:0.000000
0, 1:@0.180717:0.442000:0.203855:0.442000:0.203855:0.425502:0.180717:0.425502:0.000000:0.000000:0.000000:0.000000
2, 1:@0.183453:0.467997:0.206591:0.467997:0.206591:0.451499:0.183453:0.451499:0.000000:0.000000:0.000000:0.000000
=:@0.159371:0.442752:0.170237:0.442752:0.170237:0.423753:0.159371:0.423753:0.000000
=:@0.162512:0.468749:0.173377:0.468749:0.173377:0.449750:0.162512:0.449750:0.000000
,:@0.173878:0.495903:0.178694:0.495903:0.178694:0.476904:0.173878:0.476904:0.000000
,:@0.175034:0.523013:0.179850:0.523013:0.179850:0.504014:0.175034:0.504014:0.000000
.:@0.199501:0.523013:0.204317:0.523013:0.204317:0.504014:0.199501:0.504014:0.000000
 :@0.210557:0.521527:0.214699:0.521527:0.214699:0.505029:0.210557:0.505029:0.000000
Bisectriz de un ángulo :@0.108233:0.557626:0.289336:0.557626:0.289336:0.539943:0.108233:0.539943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,   dos semirrectas. La bisectriz del ángulo formado por las :@0.108233:0.574333:0.599867:0.574333:0.599867:0.557836:0.108233:0.557836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S S:@0.147881:0.574449:0.177344:0.574449:0.177344:0.557980:0.147881:0.557980:0.000000:0.000000:0.000000
1:@0.155765:0.577610:0.160718:0.577610:0.160718:0.567992:0.155765:0.567992:0.000000
2:@0.177348:0.577610:0.182302:0.577610:0.182302:0.567992:0.177348:0.567992:0.000000
semirrectas   y   es la semirrecta  , cuyos puntos son equidistantes :@0.108227:0.591684:0.599971:0.591684:0.599971:0.575186:0.108227:0.575186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.193900:0.591800:0.201779:0.591800:0.201779:0.575331:0.193900:0.575331:0.000000
1:@0.201775:0.594961:0.206728:0.594961:0.206728:0.585343:0.201775:0.585343:0.000000
S:@0.223721:0.591800:0.231600:0.591800:0.231600:0.575331:0.223721:0.575331:0.000000
2:@0.231584:0.594961:0.236537:0.594961:0.236537:0.585343:0.231584:0.585343:0.000000
S:@0.355595:0.591800:0.363475:0.591800:0.363475:0.575331:0.355595:0.575331:0.000000
de   y  . Las semirrectas   y   se llaman lados del ángulo  . En la :@0.108231:0.609035:0.599920:0.609035:0.599920:0.592537:0.108231:0.592537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.131253:0.609150:0.139133:0.609150:0.139133:0.592682:0.131253:0.592682:0.000000
1:@0.139143:0.612311:0.144096:0.612311:0.144096:0.602693:0.139143:0.602693:0.000000
S:@0.162264:0.609150:0.170143:0.609150:0.170143:0.592682:0.162264:0.592682:0.000000
2:@0.170142:0.612311:0.175095:0.612311:0.175095:0.602693:0.170142:0.602693:0.000000
S:@0.297062:0.609150:0.304941:0.609150:0.304941:0.592682:0.297062:0.592682:0.000000
1:@0.304946:0.612311:0.309900:0.612311:0.309900:0.602693:0.304946:0.602693:0.000000
S:@0.328067:0.609150:0.335947:0.609150:0.335947:0.592682:0.328067:0.592682:0.000000
2:@0.335945:0.612311:0.340898:0.612311:0.340898:0.602693:0.335945:0.602693:0.000000
:@0.541414:0.608384:0.553185:0.608384:0.553185:0.594084:0.541414:0.594084:0.000000
figura 5.3. se muestra el ángulo   con sus lados   y   y la bisectriz :@0.108231:0.626385:0.579862:0.626385:0.579862:0.609888:0.108231:0.609888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.329162:0.625735:0.340934:0.625735:0.340934:0.611435:0.329162:0.611435:0.000000
S:@0.443750:0.626501:0.451630:0.626501:0.451630:0.610032:0.443750:0.610032:0.000000
1:@0.451630:0.629662:0.456584:0.629662:0.456584:0.620044:0.451630:0.620044:0.000000
S:@0.472690:0.626501:0.480569:0.626501:0.480569:0.610032:0.472690:0.610032:0.000000
2:@0.480568:0.629662:0.485522:0.629662:0.485522:0.620044:0.480568:0.620044:0.000000
S.:@0.579862:0.626501:0.590535:0.626501:0.590535:0.610032:0.579862:0.610032:0.000000:0.000000
Sean :@0.108231:0.655824:0.146030:0.655824:0.146030:0.639326:0.108231:0.639326:0.000000:0.000000:0.000000:0.000000:0.000000
AB CD:@0.149013:0.655364:0.209237:0.655364:0.209237:0.638895:0.149013:0.638895:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.149013:0.679684:0.160284:0.679684:0.160284:0.663215:0.149013:0.663215:0.000000
B:@0.147857:0.704004:0.157047:0.704004:0.157047:0.687535:0.147857:0.687535:0.000000
:@0.226113:0.658487:0.240022:0.658487:0.240022:0.636827:0.226113:0.636827:0.000000
∈:@0.212242:0.655884:0.225978:0.655884:0.225978:0.639603:0.212242:0.639603:0.000000
,, ,:@0.160149:0.656000:0.196695:0.656000:0.196695:0.637001:0.160149:0.637001:0.000000:0.000000:0.000000:0.000000
2:@0.241046:0.647648:0.246621:0.647648:0.246621:0.636651:0.241046:0.636651:0.000000
 :@0.250679:0.655938:0.254821:0.655938:0.254821:0.639470:0.250679:0.639470:0.000000
con :@0.253935:0.655823:0.285029:0.655823:0.285029:0.639325:0.253935:0.639325:0.000000:0.000000:0.000000:0.000000
AB CD:@0.288003:0.631475:0.348226:0.631475:0.348226:0.615006:0.288003:0.615006:0.000000:0.000000:0.000000:0.000000:0.000000
A  B  :@0.288003:0.655795:0.337289:0.655938:0.337289:0.639470:0.288003:0.639326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.286847:0.680115:0.296037:0.680115:0.296037:0.663646:0.286847:0.663646:0.000000
:@0.365103:0.634598:0.379012:0.634598:0.379012:0.612939:0.365103:0.612939:0.000000
∈:@0.351232:0.631996:0.364968:0.631996:0.364968:0.615715:0.351232:0.615715:0.000000
,, ,:@0.299138:0.632111:0.335685:0.632111:0.335685:0.613112:0.299138:0.613112:0.000000:0.000000:0.000000:0.000000
2:@0.380037:0.623759:0.385613:0.623759:0.385613:0.612762:0.380037:0.612762:0.000000
y :@0.304734:0.655823:0.316698:0.655823:0.316698:0.639325:0.304734:0.639325:0.000000:0.000000
AB CD:@0.319672:0.606329:0.379895:0.606329:0.379895:0.589860:0.319672:0.589860:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.319672:0.630649:0.330942:0.630649:0.330942:0.614180:0.319672:0.614180:0.000000
:@0.396771:0.609452:0.410681:0.609452:0.410681:0.587793:0.396771:0.587793:0.000000
∈:@0.382900:0.606850:0.396636:0.606850:0.396636:0.590569:0.382900:0.590569:0.000000
,, ,:@0.330807:0.606965:0.367353:0.606965:0.367353:0.587966:0.330807:0.587966:0.000000:0.000000:0.000000:0.000000
2:@0.411706:0.598613:0.417281:0.598613:0.417281:0.587616:0.411706:0.587616:0.000000
no nulos y no colineales (linealmente :@0.336403:0.655823:0.599948:0.655823:0.599948:0.639325:0.336403:0.639325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595771:0.655823:0.599913:0.655823:0.599913:0.639325:0.595771:0.639325:0.000000
independientes). Consideramos las rectas::@0.108245:0.673173:0.404808:0.673173:0.404808:0.656676:0.108245:0.656676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
RA C:@0.255255:0.694891:0.304407:0.694891:0.304407:0.677707:0.255255:0.677707:0.000000:0.000000:0.000000:0.000000
C tA t:@0.337275:0.694891:0.400137:0.694891:0.400137:0.677707:0.337275:0.677707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.254837:0.721766:0.260747:0.721766:0.260747:0.704581:0.254837:0.704581:0.000000
Pt:@0.254837:0.744398:0.276025:0.744398:0.276025:0.727213:0.254837:0.727213:0.000000:0.000000
RB D:@0.255259:0.770952:0.305978:0.770952:0.305978:0.753767:0.255259:0.753767:0.000000:0.000000:0.000000:0.000000
D tB t:@0.337600:0.770952:0.401628:0.770952:0.401628:0.753767:0.337600:0.753767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(, )=:@0.269914:0.694771:0.325639:0.694771:0.325639:0.677556:0.269914:0.677556:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.387129:0.694771:0.392355:0.694771:0.392355:0.677556:0.387129:0.677556:0.000000
,:@0.444764:0.694771:0.447638:0.694771:0.447638:0.677556:0.444764:0.677556:0.000000
():@0.264360:0.744273:0.282513:0.744273:0.282513:0.727058:0.264360:0.727058:0.000000:0.000000
(, )=:@0.271577:0.770827:0.325935:0.770827:0.325935:0.753612:0.271577:0.753612:0.000000:0.000000:0.000000:0.000000:0.000000
,|:@0.383972:0.770827:0.393803:0.770827:0.393803:0.753612:0.383972:0.753612:0.000000:0.000000
,:@0.446211:0.770827:0.449086:0.770827:0.449086:0.753612:0.446211:0.753612:0.000000
1:@0.263841:0.697116:0.268966:0.697116:0.268966:0.687163:0.263841:0.687163:0.000000
2:@0.264312:0.773182:0.269437:0.773182:0.269437:0.763230:0.264312:0.763230:0.000000
:@0.418121:0.698150:0.432635:0.698150:0.432635:0.675549:0.418121:0.675549:0.000000
:@0.278709:0.725025:0.293223:0.725025:0.293223:0.702424:0.278709:0.702424:0.000000
:@0.299757:0.747657:0.314271:0.747657:0.314271:0.725055:0.299757:0.725055:0.000000
:@0.419590:0.774211:0.434104:0.774211:0.434104:0.751610:0.419590:0.751610:0.000000
{:@0.327761:0.701266:0.337411:0.701266:0.337411:0.671196:0.327761:0.671196:0.000000
}:@0.433101:0.701266:0.442750:0.701266:0.442750:0.671196:0.433101:0.671196:0.000000
{:@0.328083:0.777322:0.337733:0.777322:0.337733:0.747252:0.328083:0.747252:0.000000
}:@0.434568:0.777322:0.444217:0.777322:0.444217:0.747252:0.434568:0.747252:0.000000
+:@0.351791:0.695435:0.362828:0.695435:0.362828:0.678446:0.351791:0.678446:0.000000
∈:@0.403878:0.695435:0.418211:0.695435:0.418211:0.678446:0.403878:0.678446:0.000000
∈:@0.264464:0.722306:0.278798:0.722306:0.278798:0.705317:0.264464:0.705317:0.000000
∈:@0.285512:0.744937:0.299845:0.744937:0.299845:0.727948:0.285512:0.727948:0.000000
+:@0.352515:0.771491:0.363551:0.771491:0.363551:0.754503:0.352515:0.754503:0.000000
∈:@0.405345:0.771491:0.419679:0.771491:0.419679:0.754503:0.405345:0.754503:0.000000
RA C:@0.255255:0.650685:0.304407:0.650685:0.304407:0.633500:0.255255:0.633500:0.000000:0.000000:0.000000:0.000000
C tA t:@0.337275:0.650685:0.400137:0.650685:0.400137:0.633500:0.337275:0.633500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.254813:0.677556:0.260723:0.677556:0.260723:0.660371:0.254813:0.660371:0.000000
Pt:@0.254813:0.700187:0.276002:0.700187:0.276002:0.683002:0.254813:0.683002:0.000000:0.000000
RB D:@0.255255:0.726751:0.305975:0.726751:0.305975:0.709567:0.255255:0.709567:0.000000:0.000000:0.000000:0.000000
D tB t:@0.337597:0.726751:0.401624:0.726751:0.401624:0.709567:0.337597:0.709567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(, )=:@0.269914:0.650564:0.325639:0.650564:0.325639:0.633349:0.269914:0.633349:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.387134:0.650564:0.392360:0.650564:0.392360:0.633349:0.387134:0.633349:0.000000
,:@0.444769:0.650564:0.447643:0.650564:0.447643:0.633349:0.444769:0.633349:0.000000
():@0.264365:0.700066:0.282518:0.700066:0.282518:0.682851:0.264365:0.682851:0.000000:0.000000
(, )=:@0.271589:0.726631:0.325947:0.726631:0.325947:0.709416:0.271589:0.709416:0.000000:0.000000:0.000000:0.000000:0.000000
,|:@0.383984:0.726631:0.393815:0.726631:0.393815:0.709416:0.383984:0.709416:0.000000:0.000000
,:@0.446223:0.726631:0.449097:0.726631:0.449097:0.709416:0.446223:0.709416:0.000000
1:@0.263841:0.652909:0.268966:0.652909:0.268966:0.642957:0.263841:0.642957:0.000000
2:@0.264312:0.728976:0.269437:0.728976:0.269437:0.719023:0.264312:0.719023:0.000000
:@0.418121:0.653944:0.432635:0.653944:0.432635:0.631342:0.418121:0.631342:0.000000
:@0.278707:0.680815:0.293221:0.680815:0.293221:0.658213:0.278707:0.658213:0.000000
:@0.299755:0.703446:0.314269:0.703446:0.314269:0.680845:0.299755:0.680845:0.000000
:@0.419586:0.730010:0.434101:0.730010:0.434101:0.707409:0.419586:0.707409:0.000000
{:@0.327761:0.657059:0.337411:0.657059:0.337411:0.626989:0.327761:0.626989:0.000000
}:@0.433101:0.657059:0.442750:0.657059:0.442750:0.626989:0.433101:0.626989:0.000000
{:@0.328083:0.733115:0.337733:0.733115:0.337733:0.703045:0.328083:0.703045:0.000000
}:@0.434568:0.733115:0.444217:0.733115:0.444217:0.703045:0.434568:0.703045:0.000000
+:@0.351791:0.651228:0.362828:0.651228:0.362828:0.634239:0.351791:0.634239:0.000000
∈:@0.403878:0.651228:0.418211:0.651228:0.418211:0.634239:0.403878:0.634239:0.000000
∈:@0.264464:0.678099:0.278798:0.678099:0.278798:0.661110:0.264464:0.661110:0.000000
∈:@0.285512:0.700730:0.299845:0.700730:0.299845:0.683742:0.285512:0.683742:0.000000
+:@0.352515:0.727285:0.363551:0.727285:0.363551:0.710296:0.352515:0.710296:0.000000
∈:@0.405345:0.727285:0.419679:0.727285:0.419679:0.710296:0.405345:0.710296:0.000000
y siendo :@0.108233:0.757301:0.168110:0.757301:0.168110:0.740803:0.108233:0.740803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB CD:@0.171458:0.756842:0.231681:0.756842:0.231681:0.740373:0.171458:0.740373:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.171458:0.781162:0.182728:0.781162:0.182728:0.764693:0.171458:0.764693:0.000000
B:@0.170302:0.805482:0.179492:0.805482:0.179492:0.789013:0.170302:0.789013:0.000000
:@0.248558:0.759965:0.262467:0.759965:0.262467:0.738305:0.248558:0.738305:0.000000
∈:@0.234687:0.757362:0.248423:0.757362:0.248423:0.741081:0.234687:0.741081:0.000000
,, ,:@0.182594:0.757478:0.219140:0.757478:0.219140:0.738479:0.182594:0.738479:0.000000:0.000000:0.000000:0.000000
2:@0.263491:0.749126:0.269066:0.749126:0.269066:0.738129:0.263491:0.738129:0.000000
 :@0.195691:0.757416:0.199833:0.757416:0.199833:0.740948:0.195691:0.740948:0.000000
linealmente independientes, las rectas :@0.199293:0.757301:0.457349:0.757301:0.457349:0.740803:0.199293:0.740803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
RA C:@0.459777:0.756795:0.508939:0.756795:0.508939:0.739610:0.459777:0.739610:0.000000:0.000000:0.000000:0.000000
C tA t D tB t:@0.541807:0.756795:0.682155:0.756685:0.682155:0.739500:0.541807:0.739610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.459345:0.783666:0.465255:0.783666:0.465255:0.766481:0.459345:0.766481:0.000000
Pt:@0.459345:0.806297:0.480533:0.806297:0.480533:0.789112:0.459345:0.789112:0.000000:0.000000
RB D:@0.459767:0.832851:0.510487:0.832851:0.510487:0.815666:0.459767:0.815666:0.000000:0.000000:0.000000:0.000000
D tB t:@0.542108:0.832851:0.606136:0.832851:0.606136:0.815666:0.542108:0.815666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(, )=:@0.474435:0.756674:0.530152:0.756674:0.530152:0.739459:0.474435:0.739459:0.000000:0.000000:0.000000:0.000000:0.000000
| )=:@0.591647:0.756674:0.606471:0.756565:0.606471:0.739350:0.591647:0.739459:0.000000:0.000000:0.000000:0.000000
, ,|:@0.649282:0.756674:0.674338:0.756565:0.674338:0.739350:0.649282:0.739459:0.000000:0.000000:0.000000:0.000000
():@0.468879:0.806176:0.487032:0.806176:0.487032:0.788961:0.468879:0.788961:0.000000:0.000000
(, )=:@0.476096:0.832731:0.530454:0.832731:0.530454:0.815516:0.476096:0.815516:0.000000:0.000000:0.000000:0.000000:0.000000
,|:@0.588491:0.832731:0.598321:0.832731:0.598321:0.815516:0.588491:0.815516:0.000000:0.000000
,:@0.650729:0.832731:0.653604:0.832731:0.653604:0.815516:0.650729:0.815516:0.000000
1:@0.468363:0.759019:0.473488:0.759019:0.473488:0.749066:0.468363:0.749066:0.000000
2:@0.468839:0.835088:0.473965:0.835088:0.473965:0.825136:0.468839:0.825136:0.000000
:@0.622642:0.760054:0.637156:0.760054:0.637156:0.737452:0.622642:0.737452:0.000000
:@0.483229:0.786925:0.497743:0.786925:0.497743:0.764323:0.483229:0.764323:0.000000
:@0.504276:0.809556:0.518791:0.809556:0.518791:0.786955:0.504276:0.786955:0.000000
:@0.624110:0.836110:0.638624:0.836110:0.638624:0.813509:0.624110:0.813509:0.000000
{:@0.532283:0.763169:0.541933:0.763169:0.541933:0.733099:0.532283:0.733099:0.000000
}:@0.637622:0.763169:0.647272:0.763169:0.647272:0.733099:0.637622:0.733099:0.000000
{:@0.532605:0.839225:0.542254:0.839225:0.542254:0.809155:0.532605:0.809155:0.000000
}:@0.639090:0.839225:0.648739:0.839225:0.648739:0.809155:0.639090:0.809155:0.000000
+:@0.556313:0.757338:0.567349:0.757338:0.567349:0.740349:0.556313:0.740349:0.000000
∈ +:@0.608399:0.757338:0.644077:0.757218:0.644077:0.740230:0.608399:0.740349:0.000000:0.000000:0.000000
∈:@0.468986:0.784209:0.483319:0.784209:0.483319:0.767220:0.468986:0.767220:0.000000
∈:@0.490034:0.806840:0.504367:0.806840:0.504367:0.789852:0.490034:0.789852:0.000000
+:@0.557036:0.833394:0.568073:0.833394:0.568073:0.816406:0.557036:0.816406:0.000000
∈:@0.609867:0.833394:0.624200:0.833394:0.624200:0.816406:0.609867:0.816406:0.000000
 y :@0.518193:0.757301:0.533374:0.757301:0.533374:0.740803:0.518193:0.740803:0.000000:0.000000:0.000000
RA C:@0.535781:0.680619:0.584933:0.680619:0.584933:0.663434:0.535781:0.663434:0.000000:0.000000:0.000000:0.000000
C tA t:@0.617801:0.680619:0.680662:0.680619:0.680662:0.663434:0.617801:0.663434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.535339:0.707490:0.541249:0.707490:0.541249:0.690305:0.535339:0.690305:0.000000
Pt:@0.535339:0.730121:0.556527:0.730121:0.556527:0.712936:0.535339:0.712936:0.000000:0.000000
RB D:@0.535781:0.756685:0.586506:0.756685:0.586506:0.739500:0.535781:0.739500:0.000000:0.000000:0.000000:0.000000
(, )=:@0.550441:0.680493:0.606166:0.680493:0.606166:0.663278:0.550441:0.663278:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.667661:0.680493:0.672888:0.680493:0.672888:0.663278:0.667661:0.663278:0.000000
,:@0.725296:0.680493:0.728171:0.680493:0.728171:0.663278:0.725296:0.663278:0.000000
():@0.544893:0.729995:0.563046:0.729995:0.563046:0.712780:0.544893:0.712780:0.000000:0.000000
(,:@0.552115:0.756565:0.571534:0.756565:0.571534:0.739350:0.552115:0.739350:0.000000:0.000000
,:@0.726747:0.756565:0.729621:0.756565:0.729621:0.739350:0.726747:0.739350:0.000000
1:@0.544367:0.682843:0.549492:0.682843:0.549492:0.672890:0.544367:0.672890:0.000000
2:@0.544837:0.758910:0.549963:0.758910:0.549963:0.748957:0.544837:0.748957:0.000000
:@0.698646:0.683877:0.713160:0.683877:0.713160:0.661276:0.698646:0.661276:0.000000
:@0.559233:0.710748:0.573747:0.710748:0.573747:0.688147:0.559233:0.688147:0.000000
:@0.580280:0.733380:0.594795:0.733380:0.594795:0.710779:0.580280:0.710779:0.000000
:@0.700114:0.759934:0.714628:0.759934:0.714628:0.737333:0.700114:0.737333:0.000000
{:@0.608287:0.686993:0.617936:0.686993:0.617936:0.656923:0.608287:0.656923:0.000000
}:@0.713626:0.686993:0.723276:0.686993:0.723276:0.656923:0.713626:0.656923:0.000000
{:@0.608609:0.763049:0.618258:0.763049:0.618258:0.732979:0.608609:0.732979:0.000000
}:@0.715094:0.763049:0.724743:0.763049:0.724743:0.732979:0.715094:0.732979:0.000000
+:@0.632317:0.681162:0.643353:0.681162:0.643353:0.664173:0.632317:0.664173:0.000000
∈:@0.684403:0.681162:0.698737:0.681162:0.698737:0.664173:0.684403:0.664173:0.000000
∈:@0.544990:0.708033:0.559323:0.708033:0.559323:0.691044:0.544990:0.691044:0.000000
∈:@0.566038:0.730664:0.580371:0.730664:0.580371:0.713675:0.566038:0.713675:0.000000
∈:@0.685871:0.757218:0.700204:0.757218:0.700204:0.740230:0.685871:0.740230:0.000000
 :@0.595768:0.757301:0.599910:0.757301:0.599910:0.740803:0.595768:0.740803:0.000000
se cortan en el único punto  =( ,). Es decir, :@0.108241:0.776531:0.447685:0.776537:0.447685:0.760040:0.108241:0.760033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.311019:0.776653:0.322906:0.776653:0.322906:0.760184:0.311019:0.760184:0.000000
γβ:@0.346679:0.777174:0.372013:0.777174:0.372013:0.760893:0.346679:0.760893:0.000000:0.000000
RA C:@0.260700:0.803737:0.301524:0.803737:0.301524:0.789526:0.260700:0.789526:0.000000:0.000000:0.000000:0.000000
R BD:@0.323667:0.803737:0.364562:0.803737:0.364562:0.789526:0.323667:0.789526:0.000000:0.000000:0.000000:0.000000
Q:@0.391027:0.803737:0.401284:0.803737:0.401284:0.789526:0.391027:0.789526:0.000000
{}:@0.383167:0.809054:0.409981:0.809054:0.409981:0.784047:0.383167:0.784047:0.000000:0.000000
∩:@0.308900:0.804186:0.321667:0.804186:0.321667:0.790137:0.308900:0.790137:0.000000
(, ):@0.272942:0.803637:0.307254:0.803637:0.307254:0.789401:0.272942:0.789401:0.000000:0.000000:0.000000:0.000000
( ,) =:@0.337310:0.803637:0.381244:0.803637:0.381244:0.789401:0.337310:0.789401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.411083:0.803637:0.413461:0.803637:0.413461:0.789401:0.411083:0.789401:0.000000
1:@0.267838:0.805552:0.272082:0.805552:0.272082:0.797313:0.267838:0.797313:0.000000
2:@0.331219:0.805552:0.335462:0.805552:0.335462:0.797313:0.331219:0.797313:0.000000
En la figura 5.4. se muestran estas dos rectas y el punto  =( ,):@0.108233:0.832197:0.568447:0.830940:0.568447:0.814442:0.108233:0.815699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.501760:0.831055:0.513647:0.831055:0.513647:0.814586:0.501760:0.814586:0.000000
γβ:@0.537411:0.831576:0.562745:0.831576:0.562745:0.815295:0.537411:0.815295:0.000000:0.000000
.:@0.517955:0.832197:0.520710:0.832197:0.520710:0.815699:0.517955:0.815699:0.000000
Sean :@0.108241:0.857717:0.146039:0.857717:0.146039:0.841219:0.108241:0.841219:0.000000:0.000000:0.000000:0.000000:0.000000
MR AC NR BD:@0.145763:0.803615:0.315383:0.803615:0.315383:0.787591:0.145763:0.787591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.162727:0.804121:0.176092:0.804121:0.176092:0.788281:0.162727:0.788281:0.000000
∈:@0.255794:0.804121:0.269159:0.804121:0.269159:0.788281:0.255794:0.788281:0.000000
(, ),:@0.190038:0.803502:0.231070:0.803502:0.231070:0.787451:0.190038:0.787451:0.000000:0.000000:0.000000:0.000000:0.000000
(, ):@0.284661:0.803502:0.320707:0.803502:0.320707:0.787451:0.284661:0.787451:0.000000:0.000000:0.000000:0.000000
1:@0.184271:0.805662:0.189055:0.805662:0.189055:0.796371:0.184271:0.796371:0.000000
2:@0.277793:0.805662:0.282578:0.805662:0.282578:0.796371:0.277793:0.796371:0.000000
. De la definición de las rectas :@0.328371:0.857720:0.534448:0.857720:0.534448:0.841222:0.328371:0.841222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
RA C:@0.534915:0.789105:0.582230:0.789105:0.582230:0.772637:0.534915:0.772637:0.000000:0.000000:0.000000:0.000000
R BD:@0.607892:0.789105:0.655284:0.789105:0.655284:0.772637:0.607892:0.772637:0.000000:0.000000:0.000000:0.000000
Q:@0.685955:0.789105:0.697841:0.789105:0.697841:0.772637:0.685955:0.772637:0.000000
{}:@0.676840:0.795267:0.707914:0.795267:0.707914:0.766288:0.676840:0.766288:0.000000:0.000000
∩:@0.590774:0.789626:0.605570:0.789626:0.605570:0.773345:0.590774:0.773345:0.000000
(, ):@0.549103:0.788990:0.588867:0.788990:0.588867:0.772492:0.549103:0.772492:0.000000:0.000000:0.000000:0.000000
( ,) =:@0.623698:0.788990:0.674597:0.788990:0.674597:0.772492:0.623698:0.772492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.709178:0.788990:0.711933:0.788990:0.711933:0.772492:0.709178:0.772492:0.000000
1:@0.543187:0.791209:0.548105:0.791209:0.548105:0.781660:0.543187:0.781660:0.000000
2:@0.616637:0.791209:0.621555:0.791209:0.621555:0.781660:0.616637:0.781660:0.000000
, :@0.593012:0.857720:0.599909:0.857720:0.599909:0.841222:0.593012:0.841222:0.000000:0.000000
 :@0.595767:0.857720:0.599909:0.857720:0.599909:0.841222:0.595767:0.841222:0.000000
RA C:@0.031413:0.811371:0.078729:0.811371:0.078729:0.794902:0.031413:0.794902:0.000000:0.000000:0.000000:0.000000
R BD:@0.104390:0.811371:0.151783:0.811371:0.151783:0.794902:0.104390:0.794902:0.000000:0.000000:0.000000:0.000000
Q:@0.182453:0.811371:0.194340:0.811371:0.194340:0.794902:0.182453:0.794902:0.000000
{}:@0.173338:0.817532:0.204413:0.817532:0.204413:0.788552:0.173338:0.788552:0.000000:0.000000
∩:@0.087272:0.811891:0.102068:0.811891:0.102068:0.795611:0.087272:0.795611:0.000000
(, ):@0.045601:0.811255:0.085365:0.811255:0.085365:0.794758:0.045601:0.794758:0.000000:0.000000:0.000000:0.000000
( ,) =:@0.120196:0.811255:0.171095:0.811255:0.171095:0.794758:0.120196:0.794758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.205676:0.811255:0.208431:0.811255:0.208431:0.794758:0.205676:0.794758:0.000000
1:@0.039685:0.813474:0.044602:0.813474:0.044602:0.803925:0.039685:0.803925:0.000000
2:@0.113135:0.813474:0.118052:0.813474:0.118052:0.803925:0.113135:0.803925:0.000000
, existen :@0.165690:0.879471:0.225971:0.879471:0.225971:0.862974:0.165690:0.862974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tttt:@0.225999:0.879997:0.275325:0.879685:0.275325:0.863216:0.225999:0.863528:0.000000:0.000000:0.000000:0.000000
MC tAtA:@0.226423:0.905098:0.330450:0.904792:0.330450:0.888323:0.226423:0.888629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ND tv tv:@0.331611:0.905098:0.432132:0.904792:0.432132:0.888323:0.331611:0.888629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
QM CQ tAtA:@0.226018:0.930198:0.371401:0.929889:0.371401:0.913420:0.226018:0.913730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
QN DQ tBtB:@0.372550:0.930198:0.514734:0.929889:0.514734:0.913420:0.372550:0.913730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R R:@0.275241:0.883120:0.313258:0.882811:0.313258:0.861151:0.275241:0.861461:0.000000:0.000000:0.000000
∈ ∈:@0.261355:0.880517:0.299214:0.880208:0.299214:0.863927:0.261355:0.864237:0.000000:0.000000:0.000000
+ +:@0.270812:0.905624:0.305513:0.905309:0.305513:0.889028:0.270812:0.889344:0.000000:0.000000:0.000000
+ +:@0.374420:0.905624:0.409122:0.905309:0.409122:0.889028:0.374420:0.889344:0.000000:0.000000:0.000000
−+ −+:@0.282024:0.930725:0.344949:0.930410:0.344949:0.914129:0.282024:0.914444:0.000000:0.000000:0.000000:0.000000:0.000000
−+ −+:@0.426976:0.930725:0.489901:0.930410:0.489901:0.914129:0.426976:0.914444:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.238677:0.879888:0.241432:0.879888:0.241432:0.863390:0.238677:0.863390:0.000000
= =:@0.243860:0.904988:0.278785:0.904676:0.278785:0.888179:0.243860:0.888491:0.000000:0.000000:0.000000
,:@0.307358:0.904988:0.310113:0.904988:0.310113:0.888491:0.307358:0.888491:0.000000
= =:@0.347044:0.904988:0.381970:0.904676:0.381970:0.888179:0.347044:0.888491:0.000000:0.000000:0.000000
.:@0.408982:0.904988:0.411737:0.904988:0.411737:0.888491:0.408982:0.888491:0.000000
= =:@0.255072:0.930089:0.289997:0.929777:0.289997:0.913280:0.255072:0.913591:0.000000:0.000000:0.000000
,:@0.348316:0.930089:0.351071:0.930089:0.351071:0.913591:0.348316:0.913591:0.000000
= =:@0.399619:0.930089:0.434545:0.929777:0.434545:0.913280:0.399619:0.913591:0.000000:0.000000:0.000000
.:@0.491033:0.930089:0.493788:0.930089:0.493788:0.913591:0.491033:0.913591:0.000000
1:@0.231588:0.882090:0.236505:0.882090:0.236505:0.872541:0.231588:0.872541:0.000000
21:@0.251224:0.882090:0.260632:0.881780:0.260632:0.872231:0.251224:0.872541:0.000000:0.000000
1:@0.289505:0.907205:0.294422:0.907205:0.294422:0.897656:0.289505:0.897656:0.000000
2:@0.393574:0.907205:0.398492:0.907205:0.398492:0.897656:0.393574:0.897656:0.000000
1:@0.328922:0.932312:0.333840:0.932312:0.333840:0.922763:0.328922:0.922763:0.000000
2:@0.474350:0.932312:0.479268:0.932312:0.479268:0.922763:0.474350:0.922763:0.000000
, tales que::@0.291057:0.879471:0.364323:0.879471:0.364323:0.862974:0.291057:0.862974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MC:@0.250550:0.904786:0.291469:0.904786:0.291469:0.888317:0.250550:0.888317:0.000000:0.000000
ND:@0.355726:0.904792:0.396260:0.904792:0.396260:0.888323:0.355726:0.888323:0.000000:0.000000
QM CQ:@0.250126:0.929889:0.331117:0.929889:0.331117:0.913420:0.250126:0.913420:0.000000:0.000000:0.000000:0.000000:0.000000
QN DQ:@0.396657:0.929889:0.476069:0.929889:0.476069:0.913420:0.396657:0.913420:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.262802:0.879572:0.265557:0.879572:0.265557:0.863074:0.262802:0.863074:0.000000
,:@0.331475:0.904676:0.334230:0.904676:0.334230:0.888179:0.331475:0.888179:0.000000
.:@0.433100:0.904676:0.435855:0.904676:0.435855:0.888179:0.433100:0.888179:0.000000
,:@0.372433:0.929777:0.375188:0.929777:0.375188:0.913280:0.372433:0.913280:0.000000
.:@0.515150:0.929777:0.517905:0.929777:0.517905:0.913280:0.515150:0.913280:0.000000
2:@0.275351:0.881780:0.280268:0.881780:0.280268:0.872231:0.275351:0.872231:0.000000
1:@0.313631:0.906894:0.318549:0.906894:0.318549:0.897346:0.313631:0.897346:0.000000
2:@0.417701:0.906894:0.422619:0.906894:0.422619:0.897346:0.417701:0.897346:0.000000
1:@0.353049:0.932001:0.357967:0.932001:0.357967:0.922452:0.353049:0.922452:0.000000
2:@0.498477:0.932001:0.503394:0.932001:0.503394:0.922452:0.498477:0.922452:0.000000
Entonces,:@0.108233:0.917737:0.176238:0.917737:0.176238:0.901240:0.108233:0.901240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tt:@0.212086:0.883062:0.237285:0.883062:0.237285:0.866593:0.212086:0.866593:0.000000:0.000000
MC tA:@0.212510:0.908163:0.292422:0.908163:0.292422:0.891694:0.212510:0.891694:0.000000:0.000000:0.000000:0.000000:0.000000
ND tv:@0.317698:0.908163:0.394104:0.908163:0.394104:0.891694:0.317698:0.891694:0.000000:0.000000:0.000000:0.000000:0.000000
QM CQ tA:@0.212105:0.933264:0.333352:0.933267:0.333352:0.916798:0.212105:0.916795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
QN DQ tB:@0.358609:0.933267:0.476685:0.933267:0.476685:0.916798:0.358609:0.916798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.261315:0.886185:0.275224:0.886185:0.275224:0.864526:0.261315:0.864526:0.000000
∈:@0.247444:0.883583:0.261180:0.883583:0.261180:0.867302:0.247444:0.867302:0.000000
+:@0.256903:0.908683:0.267480:0.908683:0.267480:0.892403:0.256903:0.892403:0.000000
+:@0.360512:0.908683:0.371088:0.908683:0.371088:0.892403:0.360512:0.892403:0.000000
−+:@0.268101:0.933787:0.306901:0.933787:0.306901:0.917506:0.268101:0.917506:0.000000:0.000000
−+:@0.413053:0.933787:0.451853:0.933787:0.451853:0.917506:0.413053:0.917506:0.000000:0.000000
,:@0.224754:0.882947:0.227509:0.882947:0.227509:0.866449:0.224754:0.866449:0.000000
=:@0.229937:0.908047:0.240745:0.908047:0.240745:0.891550:0.229937:0.891550:0.000000
,:@0.293435:0.908047:0.296190:0.908047:0.296190:0.891550:0.293435:0.891550:0.000000
=:@0.333121:0.908047:0.343929:0.908047:0.343929:0.891550:0.333121:0.891550:0.000000
.:@0.395059:0.908047:0.397814:0.908047:0.397814:0.891550:0.395059:0.891550:0.000000
=:@0.241142:0.933151:0.251949:0.933151:0.251949:0.916653:0.241142:0.916653:0.000000
,:@0.334385:0.933151:0.337140:0.933151:0.337140:0.916653:0.334385:0.916653:0.000000
=:@0.385683:0.933151:0.396491:0.933151:0.396491:0.916653:0.385683:0.916653:0.000000
.:@0.477097:0.933151:0.479851:0.933151:0.479851:0.916653:0.477097:0.916653:0.000000
1:@0.217675:0.885157:0.222592:0.885157:0.222592:0.875608:0.217675:0.875608:0.000000
2:@0.237311:0.885157:0.242229:0.885157:0.242229:0.875608:0.237311:0.875608:0.000000
1:@0.275592:0.910272:0.280509:0.910272:0.280509:0.900723:0.275592:0.900723:0.000000
2:@0.379661:0.910272:0.384579:0.910272:0.384579:0.900723:0.379661:0.900723:0.000000
1:@0.315010:0.935378:0.319927:0.935378:0.319927:0.925829:0.315010:0.925829:0.000000
2:@0.460437:0.935378:0.465355:0.935378:0.465355:0.925829:0.460437:0.925829:0.000000
L(C, x):@0.785343:0.286386:0.815524:0.286386:0.815524:0.274970:0.785343:0.274970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.648371:0.216971:0.654740:0.216971:0.654740:0.205555:0.648371:0.205555:0.000000
y = –2x + 4:@0.717919:0.137532:0.773152:0.137532:0.773152:0.126116:0.717919:0.126116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.682230:0.095880:0.688151:0.095880:0.688151:0.083196:0.682230:0.083196:0.000000
x:@0.833947:0.255948:0.839128:0.255948:0.839128:0.244532:0.833947:0.244532:0.000000
A:@0.785044:0.223094:0.793056:0.223094:0.793056:0.211458:0.785044:0.211458:0.000000
x:@0.714547:0.182082:0.719729:0.182082:0.719729:0.170666:0.714547:0.170666:0.000000
L(A, B):@0.789865:0.166898:0.822127:0.166898:0.822127:0.155482:0.789865:0.155482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y =    x + 1:@0.789037:0.193999:0.840330:0.193999:0.840330:0.182583:0.789037:0.182583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.808026:0.189047:0.813916:0.189047:0.813916:0.177612:0.808026:0.177612:0.000000
2:@0.807532:0.199812:0.813422:0.199812:0.813422:0.188376:0.807532:0.188376:0.000000
4:@0.681921:0.124374:0.688464:0.124374:0.688464:0.111668:0.681921:0.111668:0.000000
3:@0.681921:0.155945:0.688464:0.155945:0.688464:0.143239:0.681921:0.143239:0.000000
2:@0.681921:0.187516:0.688464:0.187516:0.688464:0.174810:0.681921:0.174810:0.000000
1:@0.681921:0.219087:0.688464:0.219087:0.688464:0.206381:0.681921:0.206381:0.000000
0:@0.688642:0.256160:0.695186:0.256160:0.695186:0.243453:0.688642:0.243453:0.000000
–1:@0.646740:0.259133:0.661370:0.259133:0.661370:0.246427:0.646740:0.246427:0.000000:0.000000
1:@0.734907:0.259133:0.741450:0.259133:0.741450:0.246427:0.734907:0.246427:0.000000
2:@0.776972:0.259133:0.783516:0.259133:0.783516:0.246427:0.776972:0.246427:0.000000
3:@0.819038:0.259133:0.825581:0.259133:0.825581:0.246427:0.819038:0.246427:0.000000
A:@0.661995:0.274322:0.669807:0.274322:0.669807:0.262907:0.661995:0.262907:0.000000
p:@0.793222:0.300016:0.804702:0.300016:0.804702:0.289991:0.793222:0.289991:0.000000
 :@0.804702:0.300724:0.807584:0.300724:0.807584:0.289247:0.804702:0.289247:0.000000
Figura 5.2.:@0.807584:0.300724:0.856152:0.300724:0.856152:0.289247:0.807584:0.289247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.710522:0.459303:0.717478:0.459303:0.717478:0.445622:0.710522:0.445622:0.000000
2:@0.686811:0.444994:0.693766:0.444994:0.693766:0.431312:0.686811:0.431312:0.000000
α:@0.760313:0.408008:0.770885:0.408008:0.770885:0.391624:0.760313:0.391624:0.000000
α:@0.708645:0.447893:0.719217:0.447893:0.719217:0.431509:0.708645:0.431509:0.000000
α:@0.686497:0.433496:0.697069:0.433496:0.697069:0.417112:0.686497:0.417112:0.000000
S:@0.822838:0.446874:0.834867:0.446874:0.834867:0.432276:0.822838:0.432276:0.000000:0.000000
S:@0.691121:0.353702:0.703150:0.353702:0.703150:0.339103:0.691121:0.339103:0.000000:0.000000
S:@0.804074:0.353702:0.811177:0.353702:0.811177:0.339103:0.804074:0.339103:0.000000
p:@0.793222:0.508734:0.804702:0.508734:0.804702:0.498710:0.793222:0.498710:0.000000
 :@0.804702:0.509442:0.807584:0.509442:0.807584:0.497965:0.804702:0.497965:0.000000
Figura 5.3.:@0.807584:0.509442:0.856152:0.509442:0.856152:0.497965:0.807584:0.497965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.720339:0.844876:0.726473:0.844876:0.726473:0.833811:0.720339:0.833811:0.000000
0:@0.703675:0.858624:0.709976:0.858624:0.709976:0.846390:0.703675:0.846390:0.000000
Q:@0.683145:0.878579:0.692189:0.878579:0.692189:0.866130:0.683145:0.866130:0.000000
y:@0.702304:0.786505:0.708247:0.786505:0.708247:0.774056:0.702304:0.774056:0.000000
x:@0.833285:0.863096:0.839042:0.863096:0.839042:0.850647:0.833285:0.850647:0.000000
R:@0.650146:0.828611:0.657547:0.828611:0.657547:0.816162:0.650146:0.816162:0.000000
2:@0.657547:0.830925:0.661237:0.830925:0.661237:0.823668:0.657547:0.823668:0.000000
R:@0.759596:0.867167:0.766997:0.867167:0.766997:0.854718:0.759596:0.854718:0.000000
1:@0.766996:0.869482:0.770686:0.869482:0.770686:0.862224:0.766996:0.862224:0.000000
p:@0.793222:0.938448:0.804702:0.938448:0.804702:0.928423:0.793222:0.928423:0.000000
 :@0.804702:0.939155:0.807584:0.939155:0.807584:0.927679:0.804702:0.927679:0.000000
Figura 5.4.:@0.807584:0.939155:0.856152:0.939155:0.856152:0.927679:0.807584:0.927679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.685849:0.560080:0.783472:0.560080:0.783472:0.544608:0.685849:0.544608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.685849:0.572648:0.769912:0.572648:0.769912:0.557176:0.685849:0.557176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La bisectriz de un ángulo :@0.686087:0.597822:0.851255:0.597822:0.851255:0.582759:0.686087:0.582759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es la semirrecta con origen en :@0.639544:0.613664:0.835651:0.613664:0.835651:0.598601:0.639544:0.598601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el vértice del ángulo y que lo :@0.639544:0.629506:0.828230:0.629506:0.828230:0.614443:0.639544:0.614443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divide en dos ángulos de igual :@0.639544:0.645348:0.837604:0.645348:0.837604:0.630285:0.639544:0.630285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medida. Es el lugar geométrico :@0.639544:0.661190:0.841966:0.661190:0.841966:0.646127:0.639544:0.646127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los puntos del plano que :@0.639544:0.677032:0.823972:0.677032:0.823972:0.661969:0.639544:0.661969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equidistan (están a la misma :@0.639544:0.692874:0.827192:0.692874:0.827192:0.677811:0.639544:0.677811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancia) de las semirrectas de :@0.639544:0.708716:0.844184:0.708716:0.844184:0.693653:0.639544:0.693653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un ángulo.:@0.639544:0.724558:0.707582:0.724558:0.707582:0.709495:0.639544:0.709495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000