169:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.838477:0.205092:0.863297:0.205092:0.863297:0.191957:0.838477:0.191957:0.000000:0.000000:0.000000
c d:@0.833428:0.218741:0.858438:0.218741:0.858438:0.205606:0.833428:0.205606:0.000000:0.000000:0.000000
e f:@0.825630:0.233908:0.846930:0.233908:0.846930:0.220772:0.825630:0.220772:0.000000:0.000000:0.000000
g h:@0.820582:0.247557:0.845722:0.247557:0.845722:0.234421:0.820582:0.234421:0.000000:0.000000:0.000000
Postulados en geometría:@0.107756:0.107091:0.359927:0.107091:0.359927:0.085581:0.107756:0.085581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En geometría existen varios postulados, axiomas y teoremas que son de utilidad :@0.107756:0.137001:0.710078:0.137001:0.710078:0.120612:0.107756:0.120612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el momento de resolver ejercicios. :@0.107756:0.153597:0.384978:0.153597:0.384978:0.137208:0.107756:0.137208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Postulado: :@0.107756:0.190441:0.195988:0.190441:0.195988:0.173540:0.107756:0.173540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si D está en el interior del ángulo  CAB, :@0.199231:0.190441:0.522581:0.190441:0.522581:0.174052:0.199231:0.174052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∠:@0.470799:0.191036:0.484951:0.191036:0.484951:0.173015:0.470799:0.173015:0.000000
entonces:@0.107756:0.207037:0.175865:0.207037:0.175865:0.190648:0.107756:0.190648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mCAB mCAD mDAB:@0.110531:0.233071:0.316828:0.233071:0.316828:0.216710:0.110531:0.216710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∠:@0.124075:0.232656:0.138228:0.232656:0.138228:0.215714:0.124075:0.215714:0.000000
= ∠:@0.170513:0.232656:0.211514:0.232656:0.211514:0.215714:0.170513:0.215714:0.000000:0.000000:0.000000
+ ∠:@0.246048:0.232656:0.286736:0.232656:0.286736:0.215714:0.246048:0.215714:0.000000:0.000000:0.000000
C:@0.695884:0.234018:0.703995:0.234018:0.703995:0.220631:0.695884:0.220631:0.000000
A:@0.575055:0.238386:0.583152:0.238386:0.583152:0.224999:0.575055:0.224999:0.000000
B:@0.541076:0.181092:0.548313:0.181092:0.548313:0.167705:0.541076:0.167705:0.000000
D:@0.655753:0.177912:0.665192:0.177912:0.665192:0.164525:0.655753:0.164525:0.000000
Postulado::@0.107756:0.263988:0.192173:0.263988:0.192173:0.247087:0.107756:0.247087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si la suma de las medidas de los ángulos internos, formados en un :@0.192173:0.263988:0.710137:0.263988:0.710137:0.247599:0.192173:0.247599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mismo lado de una transversal que corta a dos rectas, es igual a 180º, entonces las :@0.107756:0.280584:0.710229:0.280584:0.710229:0.264195:0.107756:0.264195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos rectas son paralelas. Estos ángulos se llaman colaterales.:@0.107756:0.297181:0.547172:0.297181:0.547172:0.280792:0.107756:0.280792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.696934:0.327908:0.703176:0.327908:0.703176:0.314521:0.696934:0.314521:0.000000
1:@0.703176:0.330496:0.707237:0.330496:0.707237:0.322692:0.703176:0.322692:0.000000
L:@0.696934:0.367112:0.703176:0.367112:0.703176:0.353725:0.696934:0.353725:0.000000
2:@0.703176:0.369700:0.707237:0.369700:0.707237:0.361896:0.703176:0.361896:0.000000
B:@0.639289:0.336639:0.646526:0.336639:0.646526:0.323252:0.639289:0.323252:0.000000
A:@0.590665:0.336276:0.598762:0.336276:0.598762:0.322890:0.590665:0.322890:0.000000
C:@0.563888:0.354449:0.572000:0.354449:0.572000:0.341063:0.563888:0.341063:0.000000
D:@0.611366:0.356939:0.620804:0.356939:0.620804:0.343552:0.611366:0.343552:0.000000
mA mC:@0.107756:0.347752:0.198346:0.347752:0.198346:0.331391:0.107756:0.331391:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.121319:0.348623:0.135471:0.348623:0.135471:0.331543:0.121319:0.331543:0.000000
:@0.174354:0.348623:0.188506:0.348623:0.188506:0.331543:0.174354:0.331543:0.000000
+:@0.147799:0.347337:0.157916:0.347337:0.157916:0.330395:0.147799:0.330395:0.000000
=:@0.203193:0.347337:0.213310:0.347337:0.213310:0.330395:0.203193:0.330395:0.000000
°:@0.241762:0.347337:0.249133:0.347337:0.249133:0.330395:0.241762:0.330395:0.000000
180  A y C Ángulos colaterales:@0.215060:0.347752:0.438993:0.347752:0.438993:0.331363:0.215060:0.331363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mB mD:@0.107756:0.369377:0.199710:0.369377:0.199710:0.353016:0.107756:0.353016:0.000000:0.000000:0.000000:0.000000:0.000000
LL:@0.446530:0.369377:0.472844:0.369377:0.472844:0.353016:0.446530:0.353016:0.000000:0.000000
:@0.121319:0.370249:0.135471:0.370249:0.135471:0.353168:0.121319:0.353168:0.000000
:@0.174096:0.370249:0.188248:0.370249:0.188248:0.353168:0.174096:0.353168:0.000000
+:@0.147541:0.368963:0.157658:0.368963:0.157658:0.352020:0.147541:0.352020:0.000000
=:@0.203819:0.368963:0.213936:0.368963:0.213936:0.352020:0.203819:0.352020:0.000000
°:@0.242407:0.368963:0.249778:0.368963:0.249778:0.352020:0.242407:0.352020:0.000000
180  B y D Ángulos colaterales :@0.215705:0.369377:0.444229:0.369377:0.444229:0.352989:0.215705:0.352989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.452594:0.371390:0.457805:0.371390:0.457805:0.361892:0.452594:0.361892:0.000000
2:@0.471966:0.371390:0.477178:0.371390:0.477178:0.361892:0.471966:0.361892:0.000000
Teorema::@0.107756:0.543952:0.181153:0.543952:0.181153:0.527052:0.107756:0.527052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las bisectrices de dos ángulos adyacentes suplementarios son perpen­:@0.181153:0.543952:0.706098:0.543952:0.706098:0.527563:0.181153:0.527563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diculares entre sí.:@0.107756:0.560549:0.233633:0.560549:0.233633:0.544160:0.107756:0.544160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DO:@0.110269:0.587220:0.133672:0.587220:0.133672:0.570859:0.110269:0.570859:0.000000:0.000000
AOCOE:@0.249729:0.587220:0.313090:0.587220:0.313090:0.570859:0.249729:0.570859:0.000000:0.000000:0.000000:0.000000:0.000000
COB:@0.430032:0.587220:0.460440:0.587220:0.460440:0.570859:0.430032:0.570859:0.000000:0.000000:0.000000
m:@0.118903:0.607965:0.133534:0.607965:0.133534:0.591604:0.118903:0.591604:0.000000
m:@0.181299:0.607965:0.195930:0.607965:0.195930:0.591604:0.181299:0.591604:0.000000
 bisectriz del  :@0.135027:0.587220:0.249720:0.587220:0.249720:0.570831:0.135027:0.570831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bisectriz del   :@0.319340:0.587220:0.429998:0.587220:0.429998:0.570831:0.319340:0.570831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.230415:0.588091:0.064271:0.588091:0.064271:0.571343:0.230415:0.571343:0.000000
:@0.410711:0.588091:0.244567:0.588091:0.244567:0.571343:0.410711:0.571343:0.000000
:@0.132465:0.608837:0.084222:0.608837:0.084222:0.592088:0.132465:0.592088:0.000000
:@0.194861:0.608837:0.146618:0.608837:0.146618:0.592088:0.194861:0.592088:0.000000
;:@0.282816:0.587220:0.286023:0.587220:0.286023:0.570831:0.282816:0.570831:0.000000
2:@0.110260:0.607965:0.119253:0.607965:0.119253:0.591576:0.110260:0.591576:0.000000
1 2:@0.151243:0.607965:0.181649:0.607965:0.181649:0.591576:0.151243:0.591576:0.000000:0.000000:0.000000
2 1180  Son suplementarios:@0.214800:0.607965:0.422627:0.607965:0.422627:0.591576:0.214800:0.591576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.159941:0.607550:0.170058:0.607550:0.170058:0.590608:0.159941:0.590608:0.000000
=:@0.226686:0.607550:0.236803:0.607550:0.236803:0.590608:0.226686:0.590608:0.000000
1:@0.142877:0.628711:0.151870:0.628711:0.151870:0.612322:0.142877:0.612322:0.000000
2 90:@0.198049:0.628711:0.240875:0.628711:0.240875:0.612322:0.198049:0.612322:0.000000:0.000000:0.000000:0.000000
2:@0.371564:0.628711:0.380557:0.628711:0.380557:0.612322:0.371564:0.612322:0.000000
°:@0.265292:0.607550:0.272663:0.607550:0.272663:0.590608:0.265292:0.590608:0.000000
+:@0.151593:0.628296:0.161710:0.628296:0.161710:0.611354:0.151593:0.611354:0.000000
=:@0.209972:0.628296:0.220089:0.628296:0.220089:0.611354:0.209972:0.611354:0.000000
°:@0.240801:0.628296:0.248173:0.628296:0.248173:0.611354:0.240801:0.611354:0.000000
 dividiendo para :@0.248596:0.628711:0.370937:0.628711:0.370937:0.612322:0.248596:0.612322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.139376:0.649456:0.143411:0.649456:0.143411:0.633067:0.139376:0.633067:0.000000
m:@0.110537:0.628711:0.125168:0.628711:0.125168:0.612350:0.110537:0.612350:0.000000
m:@0.164566:0.628711:0.179198:0.628711:0.179198:0.612350:0.164566:0.612350:0.000000
m DDOE:@0.110537:0.649456:0.174827:0.649456:0.174827:0.633095:0.110537:0.633095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.124099:0.629582:0.084222:0.629582:0.084222:0.612834:0.124099:0.612834:0.000000
:@0.178129:0.629582:0.138252:0.629582:0.138252:0.612834:0.178129:0.612834:0.000000
:@0.124089:0.650328:0.138242:0.650328:0.138242:0.633579:0.124089:0.633579:0.000000
=:@0.179729:0.649041:0.189846:0.649041:0.189846:0.632099:0.179729:0.632099:0.000000
°:@0.210558:0.649041:0.217929:0.649041:0.217929:0.632099:0.210558:0.632099:0.000000
90:@0.192757:0.649456:0.210651:0.649456:0.210651:0.633067:0.192757:0.633067:0.000000:0.000000
A:@0.491231:0.648095:0.499328:0.648095:0.499328:0.634708:0.491231:0.634708:0.000000
O:@0.592640:0.648095:0.602365:0.648095:0.602365:0.634708:0.592640:0.634708:0.000000
B:@0.696100:0.648095:0.703337:0.648095:0.703337:0.634708:0.696100:0.634708:0.000000
C:@0.644606:0.570840:0.652718:0.570840:0.652718:0.557453:0.644606:0.557453:0.000000
E:@0.682209:0.600691:0.688858:0.600691:0.688858:0.587304:0.682209:0.587304:0.000000
D:@0.507480:0.575298:0.516918:0.575298:0.516918:0.561912:0.507480:0.561912:0.000000
1:@0.619005:0.618241:0.626363:0.618241:0.626363:0.604832:0.619005:0.604832:0.000000
2:@0.551716:0.630983:0.559074:0.630983:0.559074:0.617574:0.551716:0.617574:0.000000
1:@0.633630:0.634106:0.640988:0.634106:0.640988:0.620697:0.633630:0.620697:0.000000
2:@0.586740:0.615390:0.594098:0.615390:0.594098:0.601981:0.586740:0.601981:0.000000
Ejemplo::@0.106569:0.699028:0.170052:0.699028:0.170052:0.682390:0.106569:0.682390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si L  || L  , demostramos que :@0.106569:0.722747:0.315943:0.722753:0.315943:0.706364:0.106569:0.706358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.131261:0.725917:0.136504:0.725917:0.136504:0.716362:0.131261:0.716362:0.000000
2:@0.160645:0.725917:0.165887:0.725917:0.165887:0.716362:0.160645:0.716362:0.000000
m:@0.315943:0.722753:0.330574:0.722753:0.330574:0.706392:0.315943:0.706392:0.000000
:@0.330574:0.723624:0.344727:0.723624:0.344727:0.709089:0.330574:0.709089:0.000000
 1+ :@0.344727:0.722753:0.372774:0.722753:0.372774:0.706364:0.344727:0.706364:0.000000:0.000000:0.000000:0.000000
m:@0.372774:0.722753:0.387405:0.722753:0.387405:0.706392:0.372774:0.706392:0.000000
:@0.387405:0.723624:0.401557:0.723624:0.401557:0.709089:0.387405:0.709089:0.000000
 2 = :@0.401557:0.722753:0.433640:0.722753:0.433640:0.706364:0.401557:0.706364:0.000000:0.000000:0.000000:0.000000:0.000000
m x:@0.433640:0.722753:0.473923:0.722753:0.473923:0.706392:0.433640:0.706392:0.000000:0.000000:0.000000
:@0.448272:0.723624:0.462424:0.723624:0.462424:0.709089:0.448272:0.709089:0.000000
L:@0.695748:0.701119:0.701990:0.701119:0.701990:0.687732:0.695748:0.687732:0.000000
1:@0.701988:0.703707:0.706049:0.703707:0.706049:0.695903:0.701988:0.695903:0.000000
L:@0.695748:0.740323:0.701990:0.740323:0.701990:0.726936:0.695748:0.726936:0.000000
2:@0.701988:0.742911:0.706049:0.742911:0.706049:0.735107:0.701988:0.735107:0.000000
x:@0.590565:0.720215:0.596671:0.720215:0.596671:0.706828:0.590565:0.706828:0.000000
2:@0.609411:0.733047:0.616769:0.733047:0.616769:0.719638:0.609411:0.719638:0.000000
1:@0.608461:0.708808:0.615819:0.708808:0.615819:0.695399:0.608461:0.695399:0.000000
Solución:@0.107756:0.787200:0.171534:0.787200:0.171534:0.770562:0.107756:0.770562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trazamos una recta paralela que pase por el vértice del ángulo  . :@0.107756:0.810919:0.583882:0.810919:0.583882:0.794530:0.107756:0.794530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.569177:0.810919:0.576640:0.810919:0.576640:0.794558:0.569177:0.794558:0.000000
:@0.110531:0.840027:0.078983:0.840027:0.078983:0.823278:0.110531:0.823278:0.000000
:@0.156231:0.840027:0.124683:0.840027:0.124683:0.823278:0.156231:0.823278:0.000000
:@0.110531:0.860772:0.078983:0.860772:0.078983:0.844024:0.110531:0.844024:0.000000
:@0.156231:0.860772:0.124683:0.860772:0.124683:0.844024:0.156231:0.844024:0.000000
a:@0.129849:0.839155:0.139118:0.839155:0.139118:0.822794:0.129849:0.822794:0.000000
b:@0.129849:0.859901:0.139118:0.859901:0.139118:0.843540:0.129849:0.843540:0.000000
≅:@0.142622:0.838740:0.152739:0.838740:0.152739:0.821798:0.142622:0.821798:0.000000
≅:@0.142622:0.859486:0.152739:0.859486:0.152739:0.842544:0.142622:0.842544:0.000000
:@0.185503:0.839999:0.194607:0.839999:0.194607:0.823057:0.185503:0.823057:0.000000
:@0.185503:0.851478:0.194607:0.851478:0.194607:0.834536:0.185503:0.834536:0.000000
:@0.185503:0.862985:0.194607:0.862985:0.194607:0.846043:0.185503:0.846043:0.000000
1:@0.175037:0.839155:0.184029:0.839155:0.184029:0.822766:0.175037:0.822766:0.000000
2 entre rectas paralelas.:@0.176179:0.859901:0.359626:0.859930:0.359626:0.843541:0.176179:0.843512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mx ma mb:@0.110531:0.890266:0.269064:0.890266:0.269064:0.873905:0.110531:0.873905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mx m:@0.110531:0.911011:0.183533:0.911011:0.183533:0.894650:0.110531:0.894650:0.000000:0.000000:0.000000:0.000000
m:@0.222932:0.911011:0.237563:0.911011:0.237563:0.894650:0.222932:0.894650:0.000000
:@0.124086:0.891137:0.079860:0.891137:0.079860:0.874389:0.124086:0.874389:0.000000
:@0.182465:0.891137:0.138238:0.891137:0.138238:0.874389:0.182465:0.874389:0.000000
:@0.240456:0.891137:0.254609:0.891137:0.254609:0.874389:0.240456:0.874389:0.000000
:@0.124086:0.911883:0.079860:0.911883:0.079860:0.895134:0.124086:0.895134:0.000000
:@0.182465:0.911883:0.138238:0.911883:0.138238:0.895134:0.182465:0.895134:0.000000
:@0.236476:0.911883:0.250628:0.911883:0.250628:0.895134:0.236476:0.895134:0.000000
 :@0.255733:0.890266:0.259769:0.890266:0.259769:0.873877:0.255733:0.873877:0.000000
 2:@0.251766:0.911011:0.265421:0.911011:0.265421:0.894622:0.251766:0.894622:0.000000:0.000000
=:@0.155605:0.889851:0.165722:0.889851:0.165722:0.872909:0.155605:0.872909:0.000000
+:@0.213929:0.889851:0.224046:0.889851:0.224046:0.872909:0.213929:0.872909:0.000000
=:@0.155605:0.910596:0.165722:0.910596:0.165722:0.893654:0.155605:0.893654:0.000000
+:@0.209949:0.910596:0.220065:0.910596:0.220065:0.893654:0.209949:0.893654:0.000000
1:@0.201256:0.911011:0.210248:0.911011:0.210248:0.894622:0.201256:0.894622:0.000000
Son ángulos alternos internos :@0.202018:0.843333:0.424399:0.843333:0.424399:0.826944:0.202018:0.826944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.695748:0.856447:0.701990:0.856447:0.701990:0.843061:0.695748:0.843061:0.000000
1:@0.701988:0.859035:0.706049:0.859035:0.706049:0.851231:0.701988:0.851231:0.000000
L:@0.695748:0.895651:0.701990:0.895651:0.701990:0.882264:0.695748:0.882264:0.000000
2:@0.701988:0.898239:0.706049:0.898239:0.706049:0.890435:0.701988:0.890435:0.000000
a:@0.585217:0.868251:0.592801:0.868251:0.592801:0.854864:0.585217:0.854864:0.000000
2:@0.609401:0.888370:0.616759:0.888370:0.616759:0.874961:0.609401:0.874961:0.000000
1:@0.608451:0.864132:0.615809:0.864132:0.615809:0.850723:0.608451:0.850723:0.000000
b:@0.585217:0.882507:0.592801:0.882507:0.592801:0.869121:0.585217:0.869121:0.000000
x:@0.620619:0.875378:0.626725:0.875378:0.626725:0.861992:0.620619:0.861992:0.000000
B:@0.895822:0.855446:0.903059:0.855446:0.903059:0.842060:0.895822:0.842060:0.000000
O:@0.774994:0.859814:0.784718:0.859814:0.784718:0.846428:0.774994:0.846428:0.000000
A:@0.854993:0.795778:0.863089:0.795778:0.863089:0.782392:0.854993:0.782392:0.000000
C:@0.881107:0.824849:0.889218:0.824849:0.889218:0.811462:0.881107:0.811462:0.000000
Teorema::@0.107756:0.418729:0.181153:0.418729:0.181153:0.401828:0.107756:0.401828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los ángulos opuestos por el vértice son congruentes.:@0.181153:0.418729:0.571259:0.418729:0.571259:0.402340:0.181153:0.402340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.110531:0.443137:0.125162:0.443137:0.125162:0.426776:0.110531:0.426776:0.000000
m:@0.165076:0.443137:0.179708:0.443137:0.179708:0.426776:0.165076:0.426776:0.000000
:@0.124093:0.444008:0.083700:0.444008:0.083700:0.427260:0.124093:0.427260:0.000000
:@0.178639:0.444008:0.138246:0.444008:0.138246:0.427260:0.178639:0.427260:0.000000
 1:@0.139388:0.443137:0.152417:0.443137:0.152417:0.426748:0.139388:0.426748:0.000000:0.000000
 3 180  Son suplementarios:@0.193934:0.443137:0.410329:0.442454:0.410329:0.426065:0.193934:0.426748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.152103:0.442722:0.162220:0.442722:0.162220:0.425780:0.152103:0.425780:0.000000
=:@0.210482:0.442722:0.220599:0.442722:0.220599:0.425780:0.210482:0.425780:0.000000
°:@0.249051:0.442722:0.256422:0.442722:0.256422:0.425780:0.249051:0.425780:0.000000
m:@0.110130:0.466459:0.124762:0.466459:0.124762:0.450097:0.110130:0.450097:0.000000
m:@0.164676:0.466459:0.179308:0.466459:0.179308:0.450097:0.164676:0.450097:0.000000
:@0.123693:0.467330:0.137846:0.467330:0.137846:0.450250:0.123693:0.450250:0.000000
:@0.178239:0.467330:0.192391:0.467330:0.192391:0.450250:0.178239:0.450250:0.000000
 2:@0.137311:0.466459:0.150340:0.466459:0.150340:0.450070:0.137311:0.450070:0.000000:0.000000
+:@0.151703:0.466044:0.161820:0.466044:0.161820:0.449102:0.151703:0.449102:0.000000
=:@0.210082:0.466044:0.220199:0.466044:0.220199:0.449102:0.210082:0.449102:0.000000
°:@0.248651:0.466044:0.256022:0.466044:0.256022:0.449102:0.248651:0.449102:0.000000
3 180  Son suplementarios:@0.198178:0.466459:0.410329:0.466178:0.410329:0.449789:0.198178:0.450070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, :@0.107751:0.491944:0.161154:0.491944:0.161154:0.475555:0.107751:0.475555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.163933:0.492417:0.178565:0.492417:0.178565:0.476056:0.163933:0.476056:0.000000
m:@0.222459:0.492417:0.237091:0.492417:0.237091:0.476056:0.222459:0.476056:0.000000
m:@0.285127:0.492417:0.299758:0.492417:0.299758:0.476056:0.285127:0.476056:0.000000
m:@0.346214:0.492417:0.360846:0.492417:0.360846:0.476056:0.346214:0.476056:0.000000
:@0.177492:0.493288:0.133119:0.493288:0.133119:0.476540:0.177492:0.476540:0.000000
:@0.236019:0.493288:0.191645:0.493288:0.191645:0.476540:0.236019:0.476540:0.000000
:@0.298686:0.493288:0.251751:0.493288:0.251751:0.476540:0.298686:0.476540:0.000000
:@0.359774:0.493288:0.312838:0.493288:0.312838:0.476540:0.359774:0.476540:0.000000
 1:@0.192779:0.492417:0.205807:0.492417:0.205807:0.476028:0.192779:0.476028:0.000000:0.000000
2:@0.317995:0.492417:0.326988:0.492417:0.326988:0.476028:0.317995:0.476028:0.000000
+:@0.205494:0.492002:0.215611:0.492002:0.215611:0.475060:0.205494:0.475060:0.000000
=:@0.271815:0.492002:0.281932:0.492002:0.281932:0.475060:0.271815:0.475060:0.000000
+:@0.329254:0.492002:0.339371:0.492002:0.339371:0.475060:0.329254:0.475060:0.000000
3:@0.255967:0.492417:0.264960:0.492417:0.264960:0.476028:0.255967:0.476028:0.000000
3:@0.379727:0.492417:0.388720:0.492417:0.388720:0.476028:0.379727:0.476028:0.000000
Entonces :@0.107756:0.515667:0.179550:0.515667:0.179550:0.499278:0.107756:0.499278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.182324:0.515617:0.196955:0.515617:0.196955:0.499255:0.182324:0.499255:0.000000
m:@0.237294:0.515617:0.251925:0.515617:0.251925:0.499255:0.237294:0.499255:0.000000
y:@0.284044:0.515617:0.291526:0.515617:0.291526:0.499255:0.284044:0.499255:0.000000
:@0.195887:0.516488:0.210039:0.516488:0.210039:0.499739:0.195887:0.499739:0.000000
:@0.250856:0.516488:0.265009:0.516488:0.265009:0.499739:0.250856:0.499739:0.000000
 :@0.297607:0.516488:0.353480:0.516488:0.353480:0.499739:0.297607:0.499739:0.000000:0.000000:0.000000:0.000000
  :@0.280009:0.515617:0.297607:0.515617:0.297607:0.499228:0.280009:0.499228:0.000000:0.000000
1:@0.214664:0.515617:0.223657:0.515617:0.223657:0.499228:0.214664:0.499228:0.000000
2:@0.270795:0.515617:0.279788:0.515617:0.279788:0.499228:0.270795:0.499228:0.000000
1:@0.316385:0.515617:0.325378:0.515617:0.325378:0.499228:0.316385:0.499228:0.000000
2 , ángulos opuestos por el vértice.:@0.359266:0.515617:0.611956:0.515667:0.611956:0.499278:0.359266:0.499228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.223989:0.515202:0.234106:0.515202:0.234106:0.498260:0.223989:0.498260:0.000000
1:@0.565962:0.460943:0.573320:0.460943:0.573320:0.447534:0.565962:0.447534:0.000000
2:@0.647635:0.461328:0.654993:0.461328:0.654993:0.447919:0.647635:0.447919:0.000000
3:@0.608691:0.452037:0.616048:0.452037:0.616048:0.438628:0.608691:0.438628:0.000000
Ángulos formados en dos :@0.755005:0.147503:0.930266:0.147503:0.930266:0.132604:0.755005:0.132604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas paralelas cortados :@0.755005:0.162590:0.922877:0.162590:0.922877:0.147691:0.755005:0.147691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por una transversal.:@0.755005:0.177678:0.884532:0.177678:0.884532:0.162779:0.755005:0.162779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos alternos internos:@0.755005:0.278061:0.926278:0.278061:0.926278:0.263162:0.755005:0.263162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.755005:0.294894:0.768514:0.294894:0.768514:0.281019:0.755005:0.281019:0.000000
c:@0.768514:0.294063:0.775831:0.294063:0.775831:0.278445:0.768514:0.278445:0.000000
≅ :@0.779683:0.294630:0.793738:0.294630:0.793738:0.277428:0.779683:0.277428:0.000000:0.000000
 :@0.793738:0.294894:0.832260:0.294894:0.832260:0.281019:0.793738:0.281019:0.000000:0.000000:0.000000
f;  e:@0.807247:0.294063:0.839701:0.294063:0.839701:0.278445:0.807247:0.278445:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.843553:0.294630:0.853210:0.294630:0.853210:0.277428:0.843553:0.277428:0.000000
:@0.857062:0.294894:0.870571:0.294894:0.870571:0.281019:0.857062:0.281019:0.000000
d:@0.870571:0.294063:0.879419:0.294063:0.879419:0.278445:0.870571:0.278445:0.000000
Ángulos alternos externos:@0.755005:0.319685:0.929327:0.319685:0.929327:0.304786:0.755005:0.304786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.755005:0.336516:0.768514:0.336516:0.768514:0.322641:0.755005:0.322641:0.000000
g:@0.768514:0.335684:0.777361:0.335684:0.777361:0.320067:0.768514:0.320067:0.000000
≅ :@0.781214:0.336252:0.795268:0.336252:0.795268:0.319050:0.781214:0.319050:0.000000:0.000000
 :@0.795268:0.336516:0.837484:0.336516:0.837484:0.322641:0.795268:0.322641:0.000000:0.000000:0.000000
b;  a:@0.808777:0.335684:0.846332:0.335684:0.846332:0.320067:0.808777:0.320067:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.850184:0.336252:0.859841:0.336252:0.859841:0.319050:0.850184:0.319050:0.000000
:@0.863693:0.336516:0.877202:0.336516:0.877202:0.322641:0.863693:0.322641:0.000000
h:@0.877202:0.335684:0.886279:0.335684:0.886279:0.320067:0.877202:0.320067:0.000000
Ángulos correspondientes:@0.755005:0.361307:0.930702:0.361307:0.930702:0.346408:0.755005:0.346408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.755005:0.378138:0.768514:0.378138:0.768514:0.364263:0.755005:0.364263:0.000000
g:@0.768514:0.377306:0.777361:0.377306:0.777361:0.361688:0.768514:0.361688:0.000000
≅ :@0.781214:0.377874:0.795268:0.377874:0.795268:0.360672:0.781214:0.360672:0.000000:0.000000
 :@0.795268:0.378138:0.835954:0.378138:0.835954:0.364263:0.795268:0.364263:0.000000:0.000000:0.000000
c;  a:@0.808777:0.377306:0.844802:0.377306:0.844802:0.361688:0.808777:0.361688:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.848654:0.377874:0.858311:0.377874:0.858311:0.360672:0.848654:0.360672:0.000000
:@0.862163:0.378138:0.875672:0.378138:0.875672:0.364263:0.862163:0.364263:0.000000
e:@0.875672:0.377306:0.883113:0.377306:0.883113:0.361688:0.875672:0.361688:0.000000
:@0.755005:0.393980:0.768514:0.393980:0.768514:0.380105:0.755005:0.380105:0.000000
b:@0.768514:0.393148:0.777361:0.393148:0.777361:0.377530:0.768514:0.377530:0.000000
≅ :@0.781214:0.393716:0.795268:0.393716:0.795268:0.376514:0.781214:0.376514:0.000000:0.000000
 :@0.795268:0.393980:0.833790:0.393980:0.833790:0.380105:0.795268:0.380105:0.000000:0.000000:0.000000
f;  d:@0.808777:0.393148:0.842638:0.393148:0.842638:0.377530:0.808777:0.377530:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.846490:0.393716:0.856147:0.393716:0.856147:0.376514:0.846490:0.376514:0.000000
:@0.859999:0.393980:0.873509:0.393980:0.873509:0.380105:0.859999:0.380105:0.000000
h:@0.873509:0.393148:0.882585:0.393148:0.882585:0.377530:0.873509:0.377530:0.000000
     Matemática:@0.775870:0.115061:0.883411:0.115061:0.883411:0.098160:0.775870:0.098160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bisectriz de un ángulo:@0.755005:0.714411:0.914889:0.714411:0.914889:0.699047:0.755005:0.699047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una semirrecta que :@0.755005:0.733057:0.905289:0.733057:0.905289:0.718158:0.755005:0.718158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parte del vértice del :@0.755005:0.748144:0.891920:0.748144:0.891920:0.733245:0.755005:0.733245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo y lo divide en dos :@0.755005:0.763232:0.926214:0.763232:0.926214:0.748333:0.755005:0.748333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos de igual medida.:@0.755005:0.778320:0.923316:0.778320:0.923316:0.763421:0.755005:0.763421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
OC es la bisectriz del :@0.755005:0.878703:0.895721:0.878703:0.895721:0.863803:0.755005:0.863803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo AOB.:@0.755005:0.893790:0.837812:0.893790:0.837812:0.878891:0.755005:0.878891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m AOC:@0.755005:0.909798:0.812436:0.909798:0.812436:0.894181:0.755005:0.894181:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.768971:0.910630:0.782480:0.910630:0.782480:0.896755:0.768971:0.896755:0.000000
 =:@0.812436:0.909798:0.826772:0.909798:0.826772:0.894154:0.812436:0.894154:0.000000:0.000000
m COB:@0.831169:0.909798:0.887457:0.909798:0.887457:0.894181:0.831169:0.894181:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.845136:0.910630:0.858645:0.910630:0.858645:0.896755:0.845136:0.896755:0.000000
     Matemática:@0.775870:0.681969:0.883411:0.681969:0.883411:0.665068:0.775870:0.665068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Postulado es aquella :@0.755539:0.482562:0.895723:0.482562:0.895723:0.467663:0.755539:0.467663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresión que presenta :@0.755539:0.497650:0.915992:0.497650:0.915992:0.482751:0.755539:0.482751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una verdad sin :@0.755539:0.512737:0.856924:0.512737:0.856924:0.497838:0.755539:0.497838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demostraciones.:@0.755539:0.527825:0.865349:0.527825:0.865349:0.512926:0.755539:0.512926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Axioma es una :@0.755539:0.546471:0.857126:0.546471:0.857126:0.531572:0.755539:0.531572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proposición que se :@0.755539:0.561558:0.886710:0.561558:0.886710:0.546659:0.755539:0.546659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
admite sin demostración.:@0.755539:0.576646:0.924370:0.576646:0.924370:0.561747:0.755539:0.561747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema es una :@0.755539:0.595292:0.864329:0.595292:0.864329:0.580393:0.755539:0.580393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proposición cuya verdad :@0.755539:0.610379:0.923748:0.610379:0.923748:0.595480:0.755539:0.595480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se demuestra.:@0.755539:0.625467:0.848448:0.625467:0.848448:0.610568:0.755539:0.610568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.762144:0.450120:0.898205:0.450120:0.898205:0.433219:0.762144:0.433219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000