﻿Tema 3:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
144:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
¿Cuánto suman las medidas de los ángulos internos de todo triángulo?  :@0.311722:0.164331:0.827178:0.164331:0.827178:0.148661:0.311722:0.148661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.345419:0.137696:0.470927:0.137696:0.470927:0.120795:0.345419:0.120795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Triángulos y su construcción :@0.305303:0.083049:0.679542:0.083049:0.679542:0.055393:0.305303:0.055393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.453582:0.255581:0.468474:0.255581:0.468474:0.243212:0.453582:0.243212:0.000000:0.000000
CA:@0.331418:0.290931:0.346844:0.290931:0.346844:0.278562:0.331418:0.278562:0.000000:0.000000
A:@0.310457:0.233279:0.318239:0.233279:0.318239:0.220909:0.310457:0.220909:0.000000
C:@0.382780:0.348717:0.390383:0.348717:0.390383:0.336348:0.382780:0.336348:0.000000
B:@0.608284:0.285667:0.615394:0.285667:0.615394:0.273297:0.608284:0.273297:0.000000
BC:@0.494312:0.326014:0.509026:0.326014:0.509026:0.313645:0.494312:0.313645:0.000000:0.000000
150º:@0.597447:0.305717:0.623395:0.305717:0.623395:0.293358:0.597447:0.293358:0.000000:0.000000:0.000000:0.000000
30º:@0.563334:0.294273:0.582254:0.294273:0.582254:0.281914:0.563334:0.281914:0.000000:0.000000:0.000000
80º:@0.357640:0.334404:0.376560:0.334404:0.376560:0.322045:0.357640:0.322045:0.000000:0.000000:0.000000
100º:@0.382794:0.328996:0.408742:0.328996:0.408742:0.316637:0.382794:0.316637:0.000000:0.000000:0.000000:0.000000
50º:@0.333638:0.248394:0.352557:0.248394:0.352557:0.236034:0.333638:0.236034:0.000000:0.000000:0.000000
130º:@0.322595:0.227254:0.348543:0.227254:0.348543:0.214894:0.322595:0.214894:0.000000:0.000000:0.000000:0.000000
A los:@0.699155:0.241103:0.731337:0.241103:0.731337:0.226857:0.699155:0.226857:0.000000:0.000000:0.000000:0.000000:0.000000
 vértices:@0.731337:0.241103:0.791258:0.241103:0.791258:0.225738:0.731337:0.225738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 del triángulo :@0.791258:0.241103:0.883847:0.241103:0.883847:0.226857:0.791258:0.226857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se los nombra con A, B y C.:@0.699155:0.256190:0.877702:0.256190:0.877702:0.241945:0.699155:0.241945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los :@0.699155:0.274836:0.725205:0.274836:0.725205:0.260591:0.699155:0.260591:0.000000:0.000000:0.000000:0.000000
lados:@0.725205:0.274836:0.764188:0.274836:0.764188:0.259472:0.725205:0.259472:0.000000:0.000000:0.000000:0.000000:0.000000
 son los :@0.764188:0.274836:0.818047:0.274836:0.818047:0.260591:0.764188:0.260591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segmentos :@0.699155:0.292438:0.777237:0.292438:0.777237:0.278193:0.699155:0.278193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB BC:@0.781319:0.294016:0.836510:0.294016:0.836510:0.277655:0.781319:0.277655:0.000000:0.000000:0.000000:0.000000:0.000000
CA:@0.855454:0.294016:0.874932:0.294016:0.874932:0.277655:0.855454:0.277655:0.000000:0.000000
;:@0.800797:0.294016:0.804004:0.294016:0.804004:0.278346:0.800797:0.278346:0.000000
;:@0.838445:0.294016:0.841651:0.294016:0.841651:0.278346:0.838445:0.278346:0.000000
.:@0.877751:0.292444:0.880666:0.292444:0.880666:0.278199:0.877751:0.278199:0.000000
Los :@0.699154:0.311090:0.725204:0.311090:0.725204:0.296845:0.699154:0.296845:0.000000:0.000000:0.000000:0.000000
ángulos:@0.725204:0.311090:0.783167:0.311090:0.783167:0.295726:0.725204:0.295726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 son: :@0.783167:0.311090:0.817560:0.311090:0.817560:0.296845:0.783167:0.296845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
CAB:@0.717719:0.328175:0.748660:0.328175:0.748660:0.310102:0.717719:0.310102:0.000000:0.000000:0.000000
BCA:@0.770523:0.328175:0.801749:0.328175:0.801749:0.310102:0.770523:0.310102:0.000000:0.000000:0.000000
ABC:@0.822451:0.328175:0.853698:0.328175:0.853698:0.310102:0.822451:0.310102:0.000000:0.000000:0.000000
;:@0.749820:0.328175:0.753362:0.328175:0.753362:0.310866:0.749820:0.310866:0.000000
;:@0.801749:0.328175:0.805291:0.328175:0.805291:0.310866:0.801749:0.310866:0.000000
:@0.702452:0.329138:0.665281:0.329138:0.665281:0.310637:0.702452:0.310637:0.000000
:@0.755256:0.329138:0.718085:0.329138:0.718085:0.310637:0.755256:0.310637:0.000000
:@0.807184:0.329138:0.822818:0.329138:0.822818:0.310637:0.807184:0.310637:0.000000
.:@0.858303:0.326184:0.861218:0.326184:0.861218:0.311939:0.858303:0.311939:0.000000
Para construir :@0.105728:0.237107:0.200195:0.237107:0.200195:0.222862:0.105728:0.222862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos, la medida :@0.105728:0.252194:0.248842:0.252194:0.248842:0.237949:0.105728:0.237949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cada lado ha de ser :@0.105728:0.267282:0.259097:0.267282:0.259097:0.253037:0.105728:0.253037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menor que la suma de :@0.105728:0.282370:0.259716:0.282370:0.259716:0.268124:0.105728:0.268124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los otros dos.:@0.105728:0.297457:0.192789:0.297457:0.192789:0.283212:0.105728:0.283212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de los dos :@0.105728:0.319674:0.235878:0.319674:0.235878:0.305429:0.105728:0.305429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos conocidos ha :@0.105728:0.334761:0.256148:0.334761:0.256148:0.320516:0.105728:0.320516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ser menor que 180 .:@0.105728:0.349849:0.258465:0.349848:0.258465:0.335603:0.105728:0.335604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.252258:0.344350:0.255550:0.344350:0.255550:0.336045:0.252258:0.336045:0.000000
¿Sabías que?:@0.138300:0.212596:0.240168:0.212596:0.240168:0.195695:0.138300:0.195695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.310455:0.746054:0.318851:0.746054:0.318851:0.732973:0.310455:0.732973:0.000000
β:@0.345406:0.715139:0.353678:0.715139:0.353678:0.702058:0.345406:0.702058:0.000000
Y:@0.530128:0.747160:0.538152:0.747160:0.538152:0.734079:0.530128:0.734079:0.000000
A:@0.334409:0.783374:0.343224:0.783374:0.343224:0.770293:0.334409:0.770293:0.000000
B:@0.378750:0.694801:0.386805:0.694801:0.386805:0.681720:0.378750:0.681720:0.000000
C:@0.530973:0.783374:0.539587:0.783374:0.539587:0.770293:0.530973:0.770293:0.000000
Ángulo llano:@0.106213:0.465655:0.196040:0.465655:0.196040:0.450291:0.106213:0.450291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 mide 180°.:@0.195788:0.465655:0.267304:0.465655:0.267304:0.451410:0.195788:0.451410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos :@0.106213:0.487872:0.169705:0.487872:0.169705:0.472508:0.106213:0.472508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
complementarios :@0.106213:0.502959:0.236882:0.502959:0.236882:0.487595:0.106213:0.487595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumados dan 90°.:@0.106213:0.518047:0.224184:0.518047:0.224184:0.503802:0.106213:0.503802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos :@0.106213:0.591838:0.169705:0.591838:0.169705:0.576474:0.106213:0.576474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suplementarios:@0.106213:0.606926:0.218905:0.606926:0.218905:0.591561:0.106213:0.591561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.218905:0.606926:0.222574:0.606926:0.222574:0.592680:0.218905:0.592680:0.000000
sumados dan 180°.:@0.106213:0.622013:0.232359:0.622013:0.232359:0.607768:0.106213:0.607768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.106213:0.644230:0.109882:0.644230:0.109882:0.629984:0.106213:0.629984:0.000000
Ángulos alternos :@0.106213:0.687405:0.232391:0.687405:0.232391:0.672041:0.106213:0.672041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
internos:@0.106213:0.701236:0.166405:0.701236:0.166405:0.685872:0.106213:0.685872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 deben estar en :@0.166405:0.701236:0.268425:0.701236:0.268425:0.686991:0.166405:0.686991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distinto lado de la trans-:@0.106213:0.715066:0.256449:0.715066:0.256449:0.700821:0.106213:0.700821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
versal y los dos quedan :@0.106213:0.728896:0.255427:0.728896:0.255427:0.714651:0.106213:0.714651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dentro de las paralelas. :@0.106213:0.742727:0.252177:0.742727:0.252177:0.728481:0.106213:0.728481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d y e; c y f.:@0.106213:0.756557:0.168698:0.756557:0.168698:0.742312:0.106213:0.742312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos alternos :@0.106213:0.777516:0.232391:0.777516:0.232391:0.762152:0.106213:0.762152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
externos::@0.106213:0.791347:0.173575:0.791347:0.173575:0.775982:0.106213:0.775982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 deben estar :@0.173575:0.791347:0.256918:0.791347:0.256918:0.777101:0.173575:0.777101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en distinto lado de la :@0.106213:0.805177:0.242712:0.805177:0.242712:0.790932:0.106213:0.790932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transversal y los dos :@0.106213:0.819007:0.235423:0.819007:0.235423:0.804762:0.106213:0.804762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
quedan afuera de las :@0.106213:0.832837:0.242528:0.832837:0.242528:0.818592:0.106213:0.818592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paralelas g y b; a y h.:@0.106213:0.847925:0.234855:0.847925:0.234855:0.833680:0.106213:0.833680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.106213:0.870142:0.109882:0.870142:0.109882:0.855896:0.106213:0.855896:0.000000
Recuerda que...:@0.136267:0.392841:0.258348:0.392841:0.258348:0.375941:0.136267:0.375941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo llano:@0.170781:0.430086:0.208078:0.430086:0.208078:0.424149:0.170781:0.424149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
65º :@0.166226:0.551227:0.178910:0.551227:0.178910:0.544469:0.166226:0.544469:0.000000:0.000000:0.000000:0.000000
25º :@0.195751:0.561685:0.208434:0.561685:0.208434:0.554927:0.195751:0.554927:0.000000:0.000000:0.000000:0.000000
65 + 25 = 90:@0.181689:0.574305:0.222440:0.574305:0.222440:0.567547:0.181689:0.567547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.203591:0.661624:0.207119:0.661624:0.207119:0.655786:0.203591:0.655786:0.000000
A:@0.215338:0.633772:0.219244:0.633772:0.219244:0.627976:0.215338:0.627976:0.000000
0:@0.183103:0.671514:0.186631:0.671514:0.186631:0.665676:0.183103:0.665676:0.000000
B:@0.134103:0.668432:0.137672:0.668432:0.137672:0.662636:0.134103:0.662636:0.000000
C:@0.232103:0.668432:0.235920:0.668432:0.235920:0.662636:0.232103:0.662636:0.000000
1:@0.164906:0.650702:0.168434:0.650702:0.168434:0.644865:0.164906:0.644865:0.000000
a b:@0.180062:0.874174:0.199761:0.874174:0.199761:0.863749:0.180062:0.863749:0.000000:0.000000:0.000000
c d:@0.176056:0.885006:0.195904:0.885006:0.195904:0.874581:0.176056:0.874581:0.000000:0.000000:0.000000
e f:@0.169867:0.897043:0.186771:0.897043:0.186771:0.886618:0.169867:0.886618:0.000000:0.000000:0.000000
g h:@0.165860:0.907876:0.185813:0.907876:0.185813:0.897451:0.165860:0.897451:0.000000:0.000000:0.000000
α:@0.504225:0.575775:0.510141:0.575775:0.510141:0.565901:0.504225:0.565901:0.000000
α:@0.514023:0.520373:0.519939:0.520373:0.519939:0.510499:0.514023:0.510499:0.000000
β:@0.474730:0.536764:0.480559:0.536764:0.480559:0.526890:0.474730:0.526890:0.000000
Y:@0.437548:0.518986:0.443202:0.518986:0.443202:0.509112:0.437548:0.509112:0.000000
Y:@0.369658:0.582251:0.375311:0.582251:0.375311:0.572377:0.369658:0.572377:0.000000
A:@0.326899:0.599794:0.335181:0.599794:0.335181:0.586629:0.326899:0.586629:0.000000
B:@0.480265:0.497713:0.487833:0.497713:0.487833:0.484548:0.480265:0.484548:0.000000
C:@0.544700:0.599794:0.552793:0.599794:0.552793:0.586629:0.544700:0.586629:0.000000
M.4.2.8.:@0.096359:0.941859:0.135984:0.941859:0.135984:0.931104:0.096359:0.931104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Clasificar y construir triángulos, utilizando regla y compás, bajo condiciones de ciertas medidas de lados y/o ángulos.:@0.135984:0.941859:0.681431:0.941859:0.681431:0.931887:0.135984:0.931887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Demostración de teoremas:@0.305303:0.393198:0.585897:0.393198:0.585897:0.371389:0.305303:0.371389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  Teorema: :@0.305303:0.415981:0.411004:0.415981:0.411004:0.399080:0.305303:0.399080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la suma de las medidas de los ángulos interiores de un triángulo :@0.411004:0.415981:0.885285:0.415981:0.885285:0.400311:0.411004:0.400311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es igual a 180°.:@0.333792:0.432577:0.441612:0.432577:0.441612:0.416907:0.333792:0.416907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       :@0.305303:0.455259:0.332005:0.455259:0.332005:0.438358:0.305303:0.438358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mABC mBCA mCAB:@0.334620:0.451479:0.535444:0.451479:0.535444:0.435118:0.334620:0.435118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
180:@0.551458:0.451479:0.578031:0.451479:0.578031:0.435809:0.551458:0.435809:0.000000:0.000000:0.000000
:@0.348864:0.452350:0.289675:0.452350:0.289675:0.435602:0.348864:0.435602:0.000000
:@0.422206:0.452350:0.363017:0.452350:0.363017:0.435602:0.422206:0.435602:0.000000
:@0.493614:0.452350:0.507766:0.452350:0.507766:0.435602:0.493614:0.435602:0.000000
+:@0.395081:0.452157:0.405198:0.452157:0.405198:0.436584:0.395081:0.436584:0.000000
+:@0.466488:0.452157:0.476605:0.452157:0.476605:0.436584:0.466488:0.436584:0.000000
=:@0.539204:0.452157:0.549320:0.452157:0.549320:0.436584:0.539204:0.436584:0.000000
°:@0.577846:0.452157:0.585217:0.452157:0.585217:0.436584:0.577846:0.436584:0.000000
 :@0.601715:0.455251:0.605751:0.455251:0.605751:0.439581:0.601715:0.439581:0.000000
Se traza una recta paralela al segmento AC, que pase por el vértice B.:@0.305307:0.478970:0.807731:0.478970:0.807731:0.463300:0.305307:0.463300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se forman tres ángulos::@0.605603:0.502689:0.777126:0.502689:0.777126:0.487019:0.605603:0.487019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1) :@0.605603:0.526408:0.628398:0.526408:0.628398:0.510738:0.605603:0.510738:0.000000:0.000000:0.000000:0.000000
m:@0.632042:0.526424:0.646674:0.526424:0.646674:0.510063:0.632042:0.510063:0.000000
m ABCm:@0.687804:0.526424:0.775759:0.526424:0.775759:0.510063:0.687804:0.510063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
180 , un án-:@0.814052:0.526424:0.903654:0.526424:0.903654:0.510755:0.814052:0.510755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.646268:0.527296:0.604659:0.527296:0.604659:0.510547:0.646268:0.510547:0.000000
:@0.702030:0.527296:0.660421:0.527296:0.660421:0.510547:0.702030:0.510547:0.000000
:@0.775372:0.527296:0.789525:0.527296:0.789525:0.510547:0.775372:0.510547:0.000000
α+:@0.660102:0.527102:0.685035:0.527102:0.685035:0.511529:0.660102:0.511529:0.000000:0.000000
+:@0.748260:0.527102:0.758377:0.527102:0.758377:0.511529:0.748260:0.511529:0.000000
γ =:@0.789206:0.527102:0.811934:0.527102:0.811934:0.511529:0.789206:0.511529:0.000000:0.000000:0.000000
°:@0.840460:0.527102:0.847831:0.527102:0.847831:0.511529:0.840460:0.511529:0.000000
gulo llano.:@0.605605:0.543021:0.681894:0.543021:0.681894:0.527351:0.605605:0.527351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2)  :@0.605605:0.566740:0.632436:0.566740:0.632436:0.551070:0.605605:0.551070:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.635052:0.566746:0.649684:0.566746:0.649684:0.550385:0.635052:0.550385:0.000000
m CAB:@0.691533:0.566746:0.747664:0.566746:0.747664:0.550385:0.691533:0.550385:0.000000:0.000000:0.000000:0.000000:0.000000
γ=:@0.663173:0.567424:0.688585:0.567424:0.688585:0.551851:0.663173:0.551851:0.000000:0.000000
:@0.649352:0.567617:0.607024:0.567617:0.607024:0.550869:0.649352:0.550869:0.000000
:@0.705833:0.567617:0.663505:0.567617:0.663505:0.550869:0.705833:0.550869:0.000000
 :@0.751378:0.566746:0.755413:0.566746:0.755413:0.551076:0.751378:0.551076:0.000000
m:@0.608408:0.583214:0.624070:0.583214:0.624070:0.565700:0.608408:0.565700:0.000000
m BCA:@0.668530:0.583214:0.728890:0.583214:0.728890:0.565700:0.668530:0.565700:0.000000:0.000000:0.000000:0.000000:0.000000
α=:@0.638500:0.583939:0.665366:0.583939:0.665366:0.567270:0.638500:0.567270:0.000000:0.000000
:@0.623706:0.584146:0.578732:0.584146:0.578732:0.566218:0.623706:0.566218:0.000000
:@0.683829:0.584146:0.638855:0.584146:0.638855:0.566218:0.683829:0.566218:0.000000
 por ángulos alternos :@0.732923:0.583342:0.892026:0.583342:0.892026:0.567673:0.732923:0.567673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
internos.:@0.605607:0.599939:0.668977:0.599939:0.668977:0.584269:0.605607:0.584269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reemplazamos en (1) las igualdades (2):       :@0.305310:0.627226:0.624956:0.627226:0.624956:0.611556:0.305310:0.611556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b)  Teorema: :@0.305310:0.650945:0.411011:0.650945:0.411011:0.634044:0.305310:0.634044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la suma de las medidas de los ángulos externos de un triángulo :@0.411011:0.650945:0.880503:0.650945:0.880503:0.635275:0.411011:0.635275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es igual a 360°.:@0.333799:0.667541:0.441619:0.667541:0.441619:0.651872:0.333799:0.651872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el triángulo se han formado los ángulos :@0.574575:0.693736:0.907652:0.693736:0.907652:0.678066:0.574575:0.678066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ABC:@0.591372:0.711596:0.619659:0.711596:0.619659:0.695235:0.591372:0.695235:0.000000:0.000000:0.000000
BCA:@0.640316:0.711596:0.668584:0.711596:0.668584:0.695235:0.640316:0.695235:0.000000:0.000000:0.000000
CAB:@0.703025:0.711596:0.731035:0.711596:0.731035:0.695235:0.703025:0.695235:0.000000:0.000000:0.000000
;:@0.621578:0.711596:0.624785:0.711596:0.624785:0.695926:0.621578:0.695926:0.000000
y:@0.674503:0.711596:0.682611:0.711596:0.682611:0.695926:0.674503:0.695926:0.000000
:@0.577551:0.712467:0.542760:0.712467:0.542760:0.695719:0.577551:0.695719:0.000000
:@0.626495:0.712467:0.591704:0.712467:0.591704:0.695719:0.626495:0.695719:0.000000
:@0.689223:0.712467:0.703375:0.712467:0.703375:0.695719:0.689223:0.695719:0.000000
.:@0.732012:0.712854:0.735218:0.712854:0.735218:0.697185:0.732012:0.697185:0.000000
Prolongamos los lados; se forman los ángu-:@0.574585:0.736573:0.892402:0.736573:0.892402:0.720904:0.574585:0.720904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los :@0.574585:0.755687:0.599204:0.755687:0.599204:0.740017:0.574585:0.740017:0.000000:0.000000:0.000000:0.000000
;:@0.628606:0.754432:0.631812:0.754432:0.631812:0.738762:0.628606:0.738762:0.000000
y:@0.663950:0.754432:0.672058:0.754432:0.672058:0.738762:0.663950:0.738762:0.000000
:@0.602162:0.755303:0.647679:0.755303:0.647679:0.738555:0.602162:0.738555:0.000000:0.000000
:@0.678656:0.755303:0.692808:0.755303:0.692808:0.738555:0.678656:0.738555:0.000000
α:@0.615983:0.755110:0.627611:0.755110:0.627611:0.739537:0.615983:0.739537:0.000000
β:@0.647347:0.755110:0.657464:0.755110:0.657464:0.739537:0.647347:0.739537:0.000000
γ:@0.692476:0.755110:0.700050:0.755110:0.700050:0.739537:0.692476:0.739537:0.000000
m:@0.577185:0.779413:0.591816:0.779413:0.591816:0.763052:0.577185:0.763052:0.000000
m:@0.632947:0.779413:0.647578:0.779413:0.647578:0.763052:0.632947:0.763052:0.000000
m:@0.686755:0.779413:0.701387:0.779413:0.701387:0.763052:0.686755:0.763052:0.000000
360:@0.740840:0.779413:0.767413:0.779413:0.767413:0.763744:0.740840:0.763744:0.000000:0.000000:0.000000
:@0.591429:0.780285:0.549820:0.780285:0.549820:0.763536:0.591429:0.763536:0.000000
:@0.647191:0.780285:0.605582:0.780285:0.605582:0.763536:0.647191:0.763536:0.000000
:@0.701000:0.780285:0.715152:0.780285:0.715152:0.763536:0.701000:0.763536:0.000000
α+:@0.605250:0.780091:0.630182:0.780091:0.630182:0.764518:0.605250:0.764518:0.000000:0.000000
β+:@0.661012:0.780091:0.684010:0.780091:0.684010:0.764518:0.661012:0.764518:0.000000:0.000000
γ=:@0.714821:0.780091:0.737560:0.780091:0.737560:0.764518:0.714821:0.764518:0.000000:0.000000
°:@0.767229:0.780091:0.774600:0.780091:0.774600:0.764518:0.767229:0.764518:0.000000
m:@0.307920:0.810430:0.322551:0.810430:0.322551:0.794069:0.307920:0.794069:0.000000
m BAC:@0.363682:0.810430:0.420015:0.810430:0.420015:0.794069:0.363682:0.794069:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.489469:0.810430:0.504101:0.810430:0.504101:0.794069:0.489469:0.794069:0.000000
mABC:@0.543278:0.810430:0.599629:0.810430:0.599629:0.794069:0.543278:0.794069:0.000000:0.000000:0.000000:0.000000
m:@0.669083:0.810430:0.683715:0.810430:0.683715:0.794069:0.669083:0.794069:0.000000
m BCA:@0.722118:0.810430:0.778451:0.810430:0.778451:0.794069:0.722118:0.794069:0.000000:0.000000:0.000000:0.000000:0.000000
180:@0.436913:0.810430:0.463486:0.810430:0.463486:0.794760:0.436913:0.794760:0.000000:0.000000:0.000000
180:@0.616528:0.810430:0.643100:0.810430:0.643100:0.794760:0.616528:0.794760:0.000000:0.000000:0.000000
180:@0.793414:0.810430:0.819987:0.810430:0.819987:0.794760:0.793414:0.794760:0.000000:0.000000:0.000000
:@0.322146:0.811301:0.280536:0.811301:0.280536:0.794553:0.322146:0.794553:0.000000
:@0.377908:0.811301:0.336299:0.811301:0.336299:0.794553:0.377908:0.794553:0.000000
:@0.503695:0.811301:0.464020:0.811301:0.464020:0.794553:0.503695:0.794553:0.000000
:@0.557522:0.811301:0.517848:0.811301:0.517848:0.794553:0.557522:0.794553:0.000000
:@0.683309:0.811301:0.644427:0.811301:0.644427:0.794553:0.683309:0.794553:0.000000
:@0.736344:0.811301:0.697462:0.811301:0.697462:0.794553:0.736344:0.794553:0.000000
α+:@0.335967:0.811107:0.360899:0.811107:0.360899:0.795535:0.335967:0.795535:0.000000:0.000000
=:@0.424641:0.811107:0.434757:0.811107:0.434757:0.795535:0.424641:0.795535:0.000000
°:@0.463283:0.811107:0.470654:0.811107:0.470654:0.795535:0.463283:0.795535:0.000000
β+:@0.517516:0.811107:0.540514:0.811107:0.540514:0.795535:0.517516:0.795535:0.000000:0.000000
=:@0.604255:0.811107:0.614372:0.811107:0.614372:0.795535:0.604255:0.795535:0.000000
°:@0.642898:0.811107:0.650269:0.811107:0.650269:0.795535:0.642898:0.795535:0.000000
γ+:@0.697130:0.811107:0.719335:0.811107:0.719335:0.795535:0.697130:0.795535:0.000000:0.000000
=:@0.781175:0.811107:0.791292:0.811107:0.791292:0.795535:0.781175:0.795535:0.000000
°:@0.819818:0.811107:0.827189:0.811107:0.827189:0.795535:0.819818:0.795535:0.000000
(1) :@0.305303:0.833904:0.328098:0.833904:0.328098:0.818234:0.305303:0.818234:0.000000:0.000000:0.000000:0.000000
m:@0.330715:0.833904:0.345346:0.833904:0.345346:0.817542:0.330715:0.817542:0.000000
m:@0.386477:0.833904:0.401109:0.833904:0.401109:0.817542:0.386477:0.817542:0.000000
m:@0.440286:0.833904:0.454917:0.833904:0.454917:0.817542:0.440286:0.817542:0.000000
m ABCm BCAm CAB:@0.493320:0.833904:0.694145:0.833904:0.694145:0.817542:0.493320:0.817542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
180:@0.710158:0.833904:0.736731:0.833904:0.736731:0.818234:0.710158:0.818234:0.000000:0.000000:0.000000
180:@0.758052:0.833904:0.784624:0.833904:0.784624:0.818234:0.758052:0.818234:0.000000:0.000000:0.000000
180:@0.805945:0.833904:0.832518:0.833904:0.832518:0.818234:0.805945:0.818234:0.000000:0.000000:0.000000
:@0.344941:0.834775:0.303331:0.834775:0.303331:0.818026:0.344941:0.818026:0.000000
:@0.400703:0.834775:0.359093:0.834775:0.359093:0.818026:0.400703:0.818026:0.000000
:@0.454512:0.834775:0.415629:0.834775:0.415629:0.818026:0.454512:0.818026:0.000000
:@0.507547:0.834775:0.468664:0.834775:0.468664:0.818026:0.507547:0.818026:0.000000
:@0.580889:0.834775:0.523634:0.834775:0.523634:0.818026:0.580889:0.818026:0.000000
:@0.652296:0.834775:0.595041:0.834775:0.595041:0.818026:0.652296:0.818026:0.000000
α+:@0.358762:0.834581:0.383694:0.834581:0.383694:0.819008:0.358762:0.819008:0.000000:0.000000
β+:@0.414524:0.834581:0.437522:0.834581:0.437522:0.819008:0.414524:0.819008:0.000000:0.000000
γ+:@0.468333:0.834581:0.490538:0.834581:0.490538:0.819008:0.468333:0.819008:0.000000:0.000000
+:@0.553763:0.834581:0.563880:0.834581:0.563880:0.819008:0.553763:0.819008:0.000000
+:@0.625170:0.834581:0.635287:0.834581:0.635287:0.819008:0.625170:0.819008:0.000000
=:@0.697886:0.834581:0.708002:0.834581:0.708002:0.819008:0.697886:0.819008:0.000000
°+:@0.736528:0.834581:0.756430:0.834581:0.756430:0.819008:0.736528:0.819008:0.000000:0.000000
°+:@0.784422:0.834581:0.804349:0.834581:0.804349:0.819008:0.784422:0.819008:0.000000:0.000000
°:@0.832340:0.834581:0.839711:0.834581:0.839711:0.819008:0.832340:0.819008:0.000000
(2) :@0.305303:0.856119:0.328098:0.856119:0.328098:0.840449:0.305303:0.840449:0.000000:0.000000:0.000000:0.000000
m:@0.330715:0.856119:0.345346:0.856119:0.345346:0.839758:0.330715:0.839758:0.000000
m:@0.386477:0.856119:0.401109:0.856119:0.401109:0.839758:0.386477:0.839758:0.000000
m:@0.440286:0.856119:0.454917:0.856119:0.454917:0.839758:0.440286:0.839758:0.000000
180:@0.492159:0.856119:0.518732:0.856119:0.518732:0.840449:0.492159:0.840449:0.000000:0.000000:0.000000
540:@0.542264:0.856119:0.568837:0.856119:0.568837:0.840449:0.542264:0.840449:0.000000:0.000000:0.000000
:@0.344959:0.856990:0.303350:0.856990:0.303350:0.840242:0.344959:0.840242:0.000000
:@0.400722:0.856990:0.359112:0.856990:0.359112:0.840242:0.400722:0.840242:0.000000
:@0.454530:0.856990:0.468683:0.856990:0.468683:0.840242:0.454530:0.840242:0.000000
α+:@0.358780:0.856797:0.383713:0.856797:0.383713:0.841224:0.358780:0.841224:0.000000:0.000000
β+:@0.414542:0.856797:0.437540:0.856797:0.437540:0.841224:0.414542:0.841224:0.000000:0.000000
γ+:@0.468351:0.856797:0.490556:0.856797:0.490556:0.841224:0.468351:0.841224:0.000000:0.000000
°=:@0.518548:0.856797:0.538984:0.856797:0.538984:0.841224:0.518548:0.841224:0.000000:0.000000
°:@0.568653:0.856797:0.576024:0.856797:0.576024:0.841224:0.568653:0.841224:0.000000
Reemplazamos este valor en (1) y sumamos los ángulos del segundo miembro :@0.305303:0.879838:0.907740:0.879838:0.907740:0.864168:0.305303:0.864168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la igualdad; tenemos::@0.305303:0.896434:0.484510:0.896434:0.484510:0.880764:0.305303:0.880764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.305303:0.927456:0.309339:0.927456:0.309339:0.911786:0.305303:0.911786:0.000000
m:@0.368229:0.920178:0.382860:0.920178:0.382860:0.903817:0.368229:0.903817:0.000000
m:@0.423991:0.920178:0.438622:0.920178:0.438622:0.903817:0.423991:0.903817:0.000000
m:@0.477799:0.920178:0.492431:0.920178:0.492431:0.903817:0.477799:0.903817:0.000000
m:@0.368229:0.940924:0.382860:0.940924:0.382860:0.924562:0.368229:0.924562:0.000000
m:@0.423991:0.940924:0.438622:0.940924:0.438622:0.924562:0.423991:0.924562:0.000000
m:@0.477799:0.940924:0.492431:0.940924:0.492431:0.924562:0.477799:0.924562:0.000000
540:@0.531879:0.920178:0.558452:0.920178:0.558452:0.904508:0.531879:0.904508:0.000000:0.000000:0.000000
180:@0.579773:0.920178:0.606345:0.920178:0.606345:0.904508:0.579773:0.904508:0.000000:0.000000:0.000000
360:@0.531879:0.940924:0.558452:0.940924:0.558452:0.925254:0.531879:0.925254:0.000000:0.000000:0.000000
:@0.382468:0.921050:0.340859:0.921050:0.340859:0.904301:0.382468:0.904301:0.000000
:@0.438230:0.921050:0.396621:0.921050:0.396621:0.904301:0.438230:0.904301:0.000000
:@0.492039:0.921050:0.506191:0.921050:0.506191:0.904301:0.492039:0.904301:0.000000
:@0.382468:0.941795:0.340859:0.941795:0.340859:0.925047:0.382468:0.925047:0.000000
:@0.438230:0.941795:0.396621:0.941795:0.396621:0.925047:0.438230:0.925047:0.000000
:@0.492039:0.941795:0.506191:0.941795:0.506191:0.925047:0.492039:0.925047:0.000000
α+:@0.396289:0.920856:0.421221:0.920856:0.421221:0.905283:0.396289:0.905283:0.000000:0.000000
β+:@0.452051:0.920856:0.475049:0.920856:0.475049:0.905283:0.452051:0.905283:0.000000:0.000000
γ=:@0.505860:0.920856:0.528599:0.920856:0.528599:0.905283:0.505860:0.905283:0.000000:0.000000
°−:@0.558268:0.920856:0.578170:0.920856:0.578170:0.905283:0.558268:0.905283:0.000000:0.000000
°:@0.606161:0.920856:0.613532:0.920856:0.613532:0.905283:0.606161:0.905283:0.000000
α+:@0.396289:0.941601:0.421221:0.941601:0.421221:0.926028:0.396289:0.926028:0.000000:0.000000
β+:@0.452051:0.941601:0.475049:0.941601:0.475049:0.926028:0.452051:0.926028:0.000000:0.000000
γ=:@0.505860:0.941601:0.528599:0.941601:0.528599:0.926028:0.505860:0.926028:0.000000:0.000000
°:@0.558268:0.941601:0.565639:0.941601:0.565639:0.926028:0.558268:0.926028:0.000000
         :@0.616898:0.927456:0.652482:0.927456:0.652482:0.911787:0.616898:0.911787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.654971:0.898804:0.669603:0.898804:0.669603:0.882443:0.654971:0.882443:0.000000
m:@0.710733:0.898804:0.725365:0.898804:0.725365:0.882443:0.710733:0.882443:0.000000
m:@0.764542:0.898804:0.779173:0.898804:0.779173:0.882443:0.764542:0.882443:0.000000
m:@0.654971:0.919550:0.669603:0.919550:0.669603:0.903188:0.654971:0.903188:0.000000
m:@0.710733:0.919550:0.725365:0.919550:0.725365:0.903188:0.710733:0.903188:0.000000
m:@0.764542:0.919550:0.779173:0.919550:0.779173:0.903188:0.764542:0.903188:0.000000
540:@0.818627:0.898804:0.845199:0.898804:0.845199:0.883135:0.818627:0.883135:0.000000:0.000000:0.000000
180:@0.866520:0.898804:0.893093:0.898804:0.893093:0.883135:0.866520:0.883135:0.000000:0.000000:0.000000
360:@0.818622:0.919550:0.845194:0.919550:0.845194:0.903880:0.818622:0.903880:0.000000:0.000000:0.000000
:@0.669211:0.899676:0.627601:0.899676:0.627601:0.882927:0.669211:0.882927:0.000000
:@0.724973:0.899676:0.683363:0.899676:0.683363:0.882927:0.724973:0.882927:0.000000
:@0.778781:0.899676:0.792934:0.899676:0.792934:0.882927:0.778781:0.882927:0.000000
:@0.669211:0.920421:0.627601:0.920421:0.627601:0.903672:0.669211:0.903672:0.000000
:@0.724973:0.920421:0.683363:0.920421:0.683363:0.903672:0.724973:0.903672:0.000000
:@0.778781:0.920421:0.792934:0.920421:0.792934:0.903672:0.778781:0.903672:0.000000
α+:@0.683031:0.899482:0.707964:0.899482:0.707964:0.883909:0.683031:0.883909:0.000000:0.000000
β+:@0.738793:0.899482:0.761791:0.899482:0.761791:0.883909:0.738793:0.883909:0.000000:0.000000
γ=:@0.792602:0.899482:0.815342:0.899482:0.815342:0.883909:0.792602:0.883909:0.000000:0.000000
°−:@0.845010:0.899482:0.864912:0.899482:0.864912:0.883909:0.845010:0.883909:0.000000:0.000000
°:@0.892904:0.899482:0.900275:0.899482:0.900275:0.883909:0.892904:0.883909:0.000000
α+:@0.683031:0.920227:0.707964:0.920227:0.707964:0.904654:0.683031:0.904654:0.000000:0.000000
β+:@0.738793:0.920227:0.761791:0.920227:0.761791:0.904654:0.738793:0.904654:0.000000:0.000000
γ=:@0.792602:0.920227:0.815342:0.920227:0.815342:0.904654:0.792602:0.904654:0.000000:0.000000
°:@0.845010:0.920227:0.852381:0.920227:0.852381:0.904654:0.845010:0.904654:0.000000
mCAB mABC mBCA:@0.626624:0.624847:0.828517:0.624847:0.828517:0.609454:0.626624:0.609454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
180:@0.843462:0.624847:0.870035:0.624847:0.870035:0.609177:0.843462:0.609177:0.000000:0.000000:0.000000
:@0.640869:0.625718:0.581679:0.625718:0.581679:0.608970:0.640869:0.608970:0.000000
:@0.714211:0.625718:0.655021:0.625718:0.655021:0.608970:0.714211:0.608970:0.000000
:@0.785618:0.625718:0.799770:0.625718:0.799770:0.608970:0.785618:0.608970:0.000000
+:@0.687085:0.625442:0.625795:0.625442:0.625795:0.607421:0.687085:0.607421:0.000000
+:@0.758492:0.625442:0.697202:0.625442:0.697202:0.607421:0.758492:0.607421:0.000000
=:@0.831206:0.625442:0.802680:0.625442:0.802680:0.607421:0.831206:0.607421:0.000000
°:@0.869849:0.625442:0.841323:0.625442:0.841323:0.607421:0.869849:0.607421:0.000000
La suma de las medidas de los ángulos internos es 180°.:@0.316475:0.174795:0.576322:0.174795:0.576322:0.164823:0.316475:0.164823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000