﻿215:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial:@0.721207:0.043660:0.914624:0.043660:0.914624:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Axioma:@0.080284:0.142257:0.138341:0.142257:0.138341:0.125588:0.080284:0.125588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Enunciado:@0.317462:0.142257:0.398417:0.142257:0.398417:0.125588:0.317462:0.125588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Intersección de planos y rectas Si dos rectas diferentes se intersectan, lo hacen en :@0.080284:0.162741:0.683678:0.162741:0.683678:0.147028:0.080284:0.147028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un solo punto. Si dos planos diferentes se :@0.317462:0.179383:0.621218:0.179383:0.621218:0.163670:0.317462:0.163670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intersectan, lo hacen en una recta.:@0.317462:0.196024:0.565581:0.196024:0.565581:0.180312:0.317462:0.180312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Planos y rectas:@0.080284:0.216508:0.186748:0.216508:0.186748:0.200795:0.080284:0.200795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si dos puntos están en un plano, la recta que los :@0.317462:0.216508:0.670541:0.216508:0.670541:0.200795:0.317462:0.200795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contiene está en el plano.:@0.317462:0.233150:0.503278:0.233150:0.503278:0.217437:0.317462:0.217437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la congruencia de segmentos:@0.217119:0.266234:0.562042:0.266234:0.562042:0.249564:0.217119:0.249564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reflexiva:@0.080280:0.286717:0.144072:0.286717:0.144072:0.271005:0.080280:0.271005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.432412:0.288385:0.451133:0.288385:0.451133:0.271979:0.432412:0.271979:0.000000:0.000000
 ≅:@0.450736:0.289037:0.470671:0.289037:0.470671:0.271383:0.450736:0.271383:0.000000:0.000000
AB:@0.470965:0.288385:0.489686:0.288385:0.489686:0.271979:0.470965:0.271979:0.000000:0.000000
Simétrica:@0.080284:0.307473:0.147740:0.307473:0.147740:0.291760:0.080284:0.291760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.351883:0.309207:0.368155:0.309207:0.368155:0.293494:0.351883:0.293494:0.000000:0.000000:0.000000
AB:@0.368531:0.309138:0.387251:0.309138:0.387251:0.292732:0.368531:0.292732:0.000000:0.000000
 ≅ :@0.386854:0.309789:0.411299:0.309789:0.411299:0.292135:0.386854:0.292135:0.000000:0.000000:0.000000
CD:@0.410282:0.309055:0.431708:0.309055:0.431708:0.292649:0.410282:0.292649:0.000000:0.000000
, entonces:@0.431469:0.309207:0.506066:0.309207:0.506066:0.293494:0.431469:0.293494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.505926:0.309789:0.510528:0.309789:0.510528:0.292135:0.505926:0.292135:0.000000
CD:@0.509607:0.309055:0.531033:0.309055:0.531033:0.292649:0.509607:0.292649:0.000000:0.000000
 ≅:@0.530794:0.309789:0.550729:0.309789:0.550729:0.292135:0.530794:0.292135:0.000000:0.000000
AB:@0.551024:0.309138:0.569744:0.309138:0.569744:0.292732:0.551024:0.292732:0.000000:0.000000
Transitiva:@0.080284:0.328225:0.148016:0.328225:0.148016:0.312512:0.080284:0.312512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.315382:0.329958:0.331654:0.329958:0.331654:0.314246:0.315382:0.314246:0.000000:0.000000:0.000000
AB:@0.332033:0.329890:0.350753:0.329890:0.350753:0.313484:0.332033:0.313484:0.000000:0.000000
 ≅ :@0.350356:0.330541:0.374801:0.330541:0.374801:0.312887:0.350356:0.312887:0.000000:0.000000:0.000000
CD CD:@0.373784:0.329807:0.432044:0.329807:0.432044:0.313401:0.373784:0.313401:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.394970:0.330541:0.399572:0.330541:0.399572:0.312887:0.394970:0.312887:0.000000
y :@0.399480:0.329958:0.411537:0.329958:0.411537:0.314246:0.399480:0.314246:0.000000:0.000000
 ≅:@0.431805:0.330541:0.451740:0.330541:0.451740:0.312887:0.431805:0.312887:0.000000:0.000000
EF:@0.450838:0.329958:0.467000:0.329958:0.467000:0.313552:0.450838:0.313552:0.000000:0.000000
, entonces:@0.467684:0.329958:0.542281:0.329958:0.542281:0.314246:0.467684:0.314246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.542141:0.330541:0.546743:0.330541:0.546743:0.312887:0.542141:0.312887:0.000000
AB:@0.547133:0.329890:0.565853:0.329890:0.565853:0.313484:0.547133:0.313484:0.000000:0.000000
 ≅ :@0.565457:0.330541:0.589901:0.330541:0.589901:0.312887:0.565457:0.312887:0.000000:0.000000:0.000000
EF:@0.588999:0.329958:0.605161:0.329958:0.605161:0.313552:0.588999:0.313552:0.000000:0.000000
Usando el razonamiento deductivo y los axiomas enunciados anteriormente, demuestra :@0.073089:0.356231:0.710641:0.356231:0.710641:0.340518:0.073089:0.340518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los siguientes teoremas::@0.073089:0.372873:0.246463:0.372873:0.246463:0.357160:0.073089:0.357160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 7. Teorema:@0.073089:0.400235:0.222867:0.400235:0.222867:0.383565:0.073089:0.383565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si dos rectas diferentes se cortan en un punto, entonces hay un solo plano que contie-:@0.073089:0.427597:0.706335:0.427597:0.706335:0.411884:0.073089:0.411884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ne a las dos rectas.:@0.073089:0.444239:0.208638:0.444239:0.208638:0.428526:0.073089:0.428526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica 3.1 Teorema:@0.314868:0.471601:0.464556:0.471601:0.464556:0.454931:0.314868:0.454931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.331683:0.535419:0.341660:0.535419:0.341660:0.518750:0.331683:0.518750:0.000000
A:@0.390402:0.571394:0.401667:0.571394:0.401667:0.554724:0.390402:0.554724:0.000000
C:@0.331333:0.591031:0.342009:0.591031:0.342009:0.574361:0.331333:0.574361:0.000000
:@0.525933:0.637112:0.542660:0.637112:0.542660:0.617853:0.525933:0.617853:0.000000
Hipótesis: hay dos rectas diferentes que se cortan en un punto. :@0.073089:0.673282:0.531539:0.673282:0.531539:0.657569:0.073089:0.657569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.555025:0.673282:0.559056:0.673282:0.559056:0.657569:0.555025:0.657569:0.000000
Tesis: hay un solo plano que contiene a las dos rectas.:@0.073086:0.689924:0.459162:0.689924:0.459162:0.674211:0.073086:0.674211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Demostración:@0.336611:0.721511:0.443861:0.721511:0.443861:0.704841:0.336611:0.704841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Proposiciones:@0.178879:0.741994:0.284988:0.741994:0.284988:0.725324:0.178879:0.725324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Argumentos:@0.501080:0.741994:0.596006:0.741994:0.596006:0.725324:0.501080:0.725324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.080290:0.764127:0.119803:0.764127:0.119803:0.748415:0.080290:0.748415:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.120501:0.764064:0.139221:0.764064:0.139221:0.747658:0.120501:0.747658:0.000000:0.000000
 y :@0.140825:0.764134:0.157152:0.764134:0.157152:0.748421:0.140825:0.748421:0.000000:0.000000:0.000000
AC:@0.157875:0.763981:0.177663:0.763981:0.177663:0.747575:0.157875:0.747575:0.000000:0.000000
 dos rectas que se cortan en :@0.178319:0.764134:0.387642:0.764134:0.387642:0.748421:0.178319:0.748421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el punto  .:@0.080284:0.780776:0.158644:0.780776:0.158644:0.765063:0.080284:0.765063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.145630:0.780776:0.155515:0.780776:0.155515:0.764370:0.145630:0.764370:0.000000
Dado.:@0.396908:0.772940:0.439550:0.772940:0.439550:0.757227:0.396908:0.757227:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   un punto de la recta :@0.080284:0.803228:0.273907:0.803228:0.273907:0.787516:0.080284:0.787516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.109902:0.803228:0.118737:0.803228:0.118737:0.786822:0.109902:0.786822:0.000000
AB:@0.274195:0.803153:0.292915:0.803153:0.292915:0.786746:0.274195:0.786746:0.000000:0.000000
Sea   un punto de la recta :@0.080284:0.820105:0.274983:0.820105:0.274983:0.804392:0.080284:0.804392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.109911:0.820105:0.119814:0.820105:0.119814:0.803698:0.109911:0.803698:0.000000
AC:@0.275263:0.819952:0.295051:0.819952:0.295051:0.803546:0.275263:0.803546:0.000000:0.000000
Una recta queda definida por dos puntos.:@0.396910:0.813236:0.698393:0.813236:0.698393:0.797523:0.396910:0.797523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.080285:0.843090:0.109736:0.843090:0.109736:0.826684:0.080285:0.826684:0.000000:0.000000:0.000000
,   y   son tres puntos diferentes no  Dos rectas diferentes se cortan en un solo :@0.090501:0.843090:0.704423:0.843090:0.704423:0.827378:0.090501:0.827378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.132175:0.843090:0.142078:0.843090:0.142078:0.826684:0.132175:0.826684:0.000000
colineales.:@0.080303:0.859732:0.155158:0.859732:0.155158:0.844020:0.080303:0.844020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto.:@0.396926:0.859732:0.444586:0.859732:0.444586:0.844020:0.396926:0.844020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hay  un  solo  plano  que  contiene  los  Tres puntos no colineales determinan un :@0.080303:0.880216:0.704230:0.880216:0.704230:0.864503:0.080303:0.864503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos  ,   y  .:@0.080303:0.896857:0.190397:0.896857:0.190397:0.881145:0.080303:0.881145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B C:@0.135801:0.896857:0.187268:0.896857:0.187268:0.880451:0.135801:0.880451:0.000000:0.000000:0.000000:0.000000:0.000000
solo plano.:@0.396908:0.896857:0.475499:0.896857:0.475499:0.881145:0.396908:0.881145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hay un solo plano que contiene a las  Si dos puntos están en un plano, la recta :@0.080285:0.916495:0.704068:0.917348:0.704068:0.901636:0.080285:0.900782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas :@0.080285:0.933372:0.127339:0.933372:0.127339:0.917660:0.080285:0.917660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB AC:@0.127708:0.933306:0.184217:0.933223:0.184217:0.916817:0.127708:0.916900:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.148032:0.933376:0.164046:0.933376:0.164046:0.917663:0.148032:0.917663:0.000000:0.000000:0.000000
que los contiene está en el plano.:@0.396910:0.933990:0.639436:0.933990:0.639436:0.918277:0.396910:0.918277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.730686:0.848854:0.730686:0.848854:0.713739:0.740294:0.713739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.747328:0.837769:0.747328:0.837769:0.730381:0.740294:0.730381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para demostrar un :@0.741243:0.768311:0.865753:0.768311:0.865753:0.754026:0.741243:0.754026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teorema, se utiliza una :@0.741243:0.783440:0.892338:0.783440:0.892338:0.769155:0.741243:0.769155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tabla de dos columnas. :@0.741243:0.798568:0.897145:0.798568:0.897145:0.784284:0.741243:0.784284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la columna de la :@0.741243:0.813697:0.873708:0.813697:0.873708:0.799413:0.741243:0.799413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
izquierda, se escriben :@0.741243:0.828826:0.885903:0.828826:0.885903:0.814542:0.741243:0.814542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las proposiciones que :@0.741243:0.843955:0.888311:0.843955:0.888311:0.829671:0.741243:0.829671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indican los pasos seguidos. :@0.741243:0.859084:0.922982:0.859084:0.922982:0.844800:0.741243:0.844800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la columna de la :@0.741243:0.874213:0.873708:0.874213:0.873708:0.859929:0.741243:0.859929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derecha, se escriben los :@0.741243:0.889342:0.901120:0.889342:0.901120:0.875058:0.741243:0.875058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
argumentos que validan :@0.741243:0.904471:0.906141:0.904471:0.906141:0.890187:0.741243:0.890187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las proposiciones de la :@0.741243:0.919600:0.894135:0.919600:0.894135:0.905316:0.741243:0.905316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
izquierda.:@0.741243:0.934729:0.804667:0.934729:0.804667:0.920445:0.741243:0.920445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra :@0.739163:0.142699:0.804700:0.142699:0.804700:0.125752:0.739163:0.125752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de salud y :@0.739163:0.155306:0.822253:0.155306:0.822253:0.138359:0.739163:0.138359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bienestar:@0.739163:0.167912:0.813620:0.167912:0.813620:0.150965:0.739163:0.150965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los postulados o axiomas :@0.739163:0.195734:0.908235:0.195734:0.908235:0.181450:0.739163:0.181450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podrían ser principios :@0.739163:0.210863:0.882475:0.210863:0.882475:0.196579:0.739163:0.196579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamentales que guían la :@0.739163:0.225992:0.923637:0.225992:0.923637:0.211708:0.739163:0.211708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprensión y protección :@0.739163:0.241121:0.913242:0.241121:0.913242:0.226837:0.739163:0.226837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del entorno, por ejemplo::@0.739163:0.256250:0.903069:0.256250:0.903069:0.241966:0.739163:0.241966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Todos los seres vivos :@0.739163:0.271379:0.912847:0.271379:0.912847:0.256225:0.739163:0.256225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
están interconectados.:@0.739163:0.286508:0.895547:0.286508:0.895547:0.271354:0.739163:0.271354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Establece que los :@0.739163:0.301637:0.857136:0.301637:0.857136:0.287353:0.739163:0.287353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecosistemas dependen de :@0.739163:0.316766:0.916819:0.316766:0.916819:0.302482:0.739163:0.302482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la interacción entre diversas :@0.739163:0.331895:0.925611:0.331895:0.925611:0.317611:0.739163:0.317611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
especies, y el impacto en :@0.739163:0.347024:0.907386:0.347024:0.907386:0.332740:0.739163:0.332740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una puede afectar a todas.:@0.739163:0.362153:0.913469:0.362153:0.913469:0.347869:0.739163:0.347869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Los recursos naturales :@0.739163:0.380856:0.923170:0.380856:0.923170:0.365702:0.739163:0.365702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son finitos.:@0.739163:0.395985:0.813601:0.395985:0.813601:0.380831:0.739163:0.380831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reconoce que :@0.813494:0.395985:0.916217:0.395985:0.916217:0.381701:0.813494:0.381701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la sobreexplotación de :@0.739163:0.411114:0.892940:0.411114:0.892940:0.396830:0.739163:0.396830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recursos puede llevar a su :@0.739163:0.426243:0.912895:0.426243:0.912895:0.411959:0.739163:0.411959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agotamiento, lo que exige :@0.739163:0.441372:0.915976:0.441372:0.915976:0.427087:0.739163:0.427087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una gestión responsable.:@0.739163:0.456501:0.904095:0.456501:0.904095:0.442216:0.739163:0.442216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  La acción humana :@0.739163:0.475203:0.896524:0.475203:0.896524:0.460048:0.739163:0.460048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene un impacto directo :@0.739163:0.490331:0.912991:0.490331:0.912991:0.475177:0.739163:0.475177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre el medio ambiente. :@0.739163:0.505460:0.918180:0.505460:0.918180:0.490306:0.739163:0.490306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este principio destaca la :@0.739163:0.520589:0.901217:0.520589:0.901217:0.506305:0.739163:0.506305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
influencia de nuestras :@0.739163:0.535718:0.887056:0.535718:0.887056:0.521434:0.739163:0.521434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
actividades en la :@0.739163:0.550847:0.852444:0.550847:0.852444:0.536563:0.739163:0.536563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
degradación o :@0.739163:0.565976:0.838839:0.565976:0.838839:0.551692:0.739163:0.551692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
preservación del  :@0.739163:0.581105:0.855714:0.581105:0.855714:0.566821:0.739163:0.566821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entorno natural.:@0.739163:0.596234:0.845220:0.596234:0.845220:0.581950:0.739163:0.581950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000