214:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Geometría:@0.073089:0.043661:0.168070:0.043661:0.168070:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 5:@0.293660:0.136836:0.370032:0.136836:0.370032:0.120167:0.293660:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Usemos las reglas de inferencia::@0.293660:0.160273:0.522718:0.160273:0.522718:0.144561:0.293660:0.144561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Si mañana es lunes, Mario debe ir a trabajar. Mañana es lunes, luego... Mario debe ir a :@0.293660:0.183701:0.931402:0.183701:0.931402:0.167988:0.293660:0.167988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trabajar (:@0.293652:0.200342:0.357617:0.200342:0.357617:0.184630:0.293652:0.184630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modus ponens:@0.357470:0.200342:0.460348:0.200342:0.460348:0.183936:0.357470:0.183936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
).:@0.460366:0.200342:0.468373:0.200342:0.468373:0.184630:0.460366:0.184630:0.000000:0.000000
b.  Este compuesto contiene cloro o contiene oxígeno. La sustancia no contiene cloro, :@0.293660:0.223773:0.931448:0.223773:0.931448:0.208061:0.293660:0.208061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luego... la sustancia contiene oxígeno (:@0.293652:0.240415:0.572691:0.240415:0.572691:0.224703:0.293652:0.224703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
disyunción:@0.572356:0.240415:0.647550:0.240415:0.647550:0.224009:0.572356:0.224009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
).:@0.647550:0.240415:0.655557:0.240415:0.655557:0.224703:0.647550:0.224703:0.000000:0.000000
c.  Si María se gradúa en la universidad, entonces es profesional. María no es profesional, :@0.293660:0.263847:0.930563:0.263847:0.930563:0.248135:0.293660:0.248135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luego... no se graduó en la universidad (:@0.293652:0.280489:0.580341:0.280489:0.580341:0.264777:0.293652:0.264777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modus tollens:@0.579995:0.280489:0.676953:0.280489:0.676953:0.264083:0.579995:0.264083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
).:@0.676964:0.280489:0.684972:0.280489:0.684972:0.264777:0.676964:0.264777:0.000000:0.000000
Recíproca, inversa y contrarrecíproca:@0.470609:0.307602:0.748257:0.307602:0.748257:0.290932:0.470609:0.290932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.516172:0.337720:0.525431:0.337720:0.525431:0.321313:0.516172:0.321313:0.000000
q:@0.547192:0.337720:0.556450:0.337720:0.556450:0.321313:0.547192:0.321313:0.000000
Proposición dada:@0.600983:0.337720:0.726892:0.337720:0.726892:0.322007:0.600983:0.322007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.516180:0.355263:0.525439:0.355263:0.525439:0.338857:0.516180:0.338857:0.000000
p:@0.547192:0.355268:0.556450:0.355268:0.556450:0.338862:0.547192:0.338862:0.000000
Recíproca:@0.600983:0.355268:0.672498:0.355268:0.672498:0.339555:0.600983:0.339555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙:@0.499467:0.376597:0.514800:0.376597:0.514800:0.358943:0.499467:0.358943:0.000000
p:@0.516180:0.376015:0.525439:0.376015:0.525439:0.359609:0.516180:0.359609:0.000000
∙:@0.547192:0.376602:0.562525:0.376602:0.562525:0.358948:0.547192:0.358948:0.000000
q:@0.563905:0.376020:0.573164:0.376020:0.573164:0.359614:0.563905:0.359614:0.000000
Inversa:@0.600978:0.374425:0.652128:0.374425:0.652128:0.358712:0.600978:0.358712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙:@0.499462:0.397363:0.514795:0.397363:0.514795:0.379709:0.499462:0.379709:0.000000
q:@0.516175:0.396780:0.525434:0.396780:0.525434:0.380374:0.516175:0.380374:0.000000
∙:@0.547192:0.397355:0.562525:0.397355:0.562525:0.379701:0.547192:0.379701:0.000000
p:@0.563905:0.396773:0.573164:0.396773:0.573164:0.380367:0.563905:0.380367:0.000000
Contrarrecíproca:@0.600978:0.395164:0.722878:0.395164:0.722878:0.379451:0.600978:0.379451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 6:@0.293650:0.432539:0.370022:0.432539:0.370022:0.415869:0.293650:0.415869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formula la recíproca, la inversa y la contrarrecíproca de la siguiente proposición: si dos :@0.293650:0.455976:0.930896:0.455976:0.930896:0.440264:0.293650:0.440264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas son perpendiculares, entonces se intersectan:@0.293650:0.472618:0.667393:0.472618:0.667393:0.456905:0.293650:0.456905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.293650:0.496055:0.302909:0.496055:0.302909:0.479649:0.293650:0.479649:0.000000
: Dos rectas son perpendiculares:@0.302835:0.496055:0.537255:0.496055:0.537255:0.480343:0.302835:0.480343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.293650:0.519493:0.302909:0.519493:0.302909:0.503086:0.293650:0.503086:0.000000
: Se intersectan:@0.302835:0.519493:0.412300:0.519493:0.412300:0.503780:0.302835:0.503780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.293650:0.542930:0.302909:0.542930:0.302909:0.526524:0.293650:0.526524:0.000000
q:@0.324680:0.542922:0.333939:0.542922:0.333939:0.526516:0.324680:0.526516:0.000000
: Si dos rectas son perpendiculares, entonces se intersectan (verdadero).:@0.335337:0.542922:0.853461:0.542922:0.853461:0.527210:0.335337:0.527210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.293645:0.566359:0.302904:0.566359:0.302904:0.549953:0.293645:0.549953:0.000000
p:@0.324680:0.566353:0.333939:0.566353:0.333939:0.549947:0.324680:0.549947:0.000000
: Si dos rectas se intersectan, entonces son perpendiculares (no necesariamente es :@0.335337:0.566353:0.931420:0.566353:0.931420:0.550640:0.335337:0.550640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verdadero).:@0.293645:0.582995:0.375648:0.582995:0.375648:0.567282:0.293645:0.567282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙:@0.293645:0.607015:0.308978:0.607015:0.308978:0.589360:0.293645:0.589360:0.000000
p:@0.310837:0.606432:0.320096:0.606432:0.320096:0.590026:0.310837:0.590026:0.000000
∙:@0.342710:0.607010:0.358044:0.607010:0.358044:0.589355:0.342710:0.589355:0.000000
q:@0.359903:0.606427:0.369162:0.606427:0.369162:0.590021:0.359903:0.590021:0.000000
: Si dos rectas no son perpendiculares, entonces no se intercectan (no :@0.370910:0.606427:0.931229:0.606427:0.931229:0.590715:0.370910:0.590715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesariamente es verdadero).:@0.293655:0.623069:0.515463:0.623069:0.515463:0.607356:0.293655:0.607356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙:@0.293655:0.647089:0.308988:0.647089:0.308988:0.629435:0.293655:0.629435:0.000000
q:@0.310314:0.646506:0.319573:0.646506:0.319573:0.630100:0.310314:0.630100:0.000000
∙:@0.341268:0.647084:0.356601:0.647084:0.356601:0.629429:0.341268:0.629429:0.000000
p:@0.357927:0.646501:0.367185:0.646501:0.367185:0.630095:0.357927:0.630095:0.000000
: Si dos rectas no se intercectan, entonces no son perpendiculares (verdadero).:@0.368566:0.646501:0.926493:0.646501:0.926493:0.630789:0.368566:0.630789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para elaborar el conocimiento en geometría, procedemos de la siguiente forma: partimos :@0.293667:0.669938:0.931033:0.669938:0.931033:0.654226:0.293667:0.654226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de términos indefinidos que nacen de la observación de la naturaleza, como son:@0.293667:0.686580:0.874303:0.686580:0.874303:0.670868:0.293667:0.670868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 punto:@0.873698:0.686580:0.923795:0.686580:0.923795:0.669911:0.873698:0.669911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.923710:0.686580:0.930944:0.686580:0.930944:0.670868:0.923710:0.670868:0.000000:0.000000
recta:@0.293667:0.703222:0.332771:0.703222:0.332771:0.686553:0.293667:0.686553:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.332929:0.703222:0.350591:0.703222:0.350591:0.687509:0.332929:0.687509:0.000000:0.000000:0.000000
plano:@0.351935:0.703222:0.396536:0.703222:0.396536:0.686553:0.351935:0.686553:0.000000:0.000000:0.000000:0.000000:0.000000
. Con base en estos conceptos, establecemos unas definiciones como :@0.396711:0.703222:0.930983:0.703222:0.930983:0.687509:0.396711:0.687509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semirrecta, segmento, espacio y ángulo. Al utilizar el razonamiento inductivo, llegamos :@0.293667:0.719864:0.931062:0.719864:0.931062:0.704151:0.293667:0.704151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a unas generalizaciones que pueden nombrarse, como postulados o axiomas: son :@0.293667:0.736506:0.930815:0.736506:0.930815:0.720793:0.293667:0.720793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
afirmaciones que se validan y se dan como ciertas. Con base en los axiomas, enunciamos :@0.293667:0.753148:0.931427:0.753148:0.931427:0.737435:0.293667:0.737435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unos teoremas (afirmaciones que requieren demostración) que se pueden demostrar, :@0.293667:0.769789:0.931443:0.769789:0.931443:0.754077:0.293667:0.754077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
usando el método deductivo.:@0.293667:0.786431:0.508028:0.786431:0.508028:0.770719:0.293667:0.770719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.4 Postulados o axiomas básicos de la geometría:@0.293667:0.810867:0.666438:0.810867:0.666438:0.794197:0.293667:0.794197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Axioma:@0.383730:0.838523:0.441787:0.838523:0.441787:0.821853:0.383730:0.821853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Enunciado:@0.688205:0.838523:0.769160:0.838523:0.769160:0.821853:0.688205:0.821853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existencia de los puntos:@0.300861:0.867327:0.474758:0.867327:0.474758:0.851614:0.300861:0.851614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El espacio existe y contiene, por lo menos, cuatro :@0.538038:0.859006:0.897258:0.859006:0.897258:0.843293:0.538038:0.843293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos no coplanares.:@0.538038:0.875648:0.698971:0.875648:0.698971:0.859935:0.538038:0.859935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Puntos y rectas:@0.300861:0.896131:0.410227:0.896131:0.410227:0.880419:0.300861:0.880419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por dos puntos solo puede pasar una recta.:@0.538038:0.896131:0.851044:0.896131:0.851044:0.880419:0.538038:0.880419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Planos:@0.300861:0.924935:0.348362:0.924935:0.348362:0.909223:0.300861:0.909223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por tres puntos no colineales solo puede pasar un :@0.538038:0.916615:0.902719:0.916615:0.902719:0.900902:0.538038:0.900902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plano.:@0.538038:0.933256:0.582613:0.933256:0.582613:0.917544:0.538038:0.917544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra :@0.077449:0.142699:0.142987:0.142699:0.142987:0.125752:0.077449:0.125752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de salud y :@0.077449:0.155306:0.160540:0.155306:0.160540:0.138359:0.077449:0.138359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bienestar:@0.077449:0.167912:0.151907:0.167912:0.151907:0.150965:0.077449:0.150965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El razonamiento inductivo :@0.077449:0.195734:0.250134:0.195734:0.250134:0.181450:0.077449:0.181450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podría aplicarse al analizar :@0.077449:0.210863:0.249032:0.210863:0.249032:0.196579:0.077449:0.196579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
patrones en hábitos y sus :@0.077449:0.225992:0.244452:0.225992:0.244452:0.211708:0.077449:0.211708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
efectos. Por ejemplo::@0.077449:0.241121:0.210937:0.241121:0.210937:0.226837:0.077449:0.226837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observación::@0.077449:0.256250:0.166216:0.256250:0.166216:0.241096:0.077449:0.241096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.077449:0.271379:0.085013:0.271379:0.085013:0.257095:0.077449:0.257095:0.000000:0.000000
Las personas que hacen :@0.105910:0.271379:0.263861:0.271379:0.263861:0.257095:0.105910:0.257095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicio regularmente :@0.077446:0.286508:0.226255:0.286508:0.226255:0.272224:0.077446:0.272224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienden a tener mejor salud.:@0.077446:0.301637:0.257857:0.301637:0.257857:0.287353:0.077446:0.287353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conclusión::@0.077446:0.316766:0.156242:0.316766:0.156242:0.301612:0.077446:0.301612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.077449:0.331895:0.085013:0.331895:0.085013:0.317611:0.077449:0.317611:0.000000:0.000000
Hacer ejercicio :@0.105910:0.331895:0.203997:0.331895:0.203997:0.317611:0.105910:0.317611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
regularmente mejora la :@0.077446:0.347024:0.232515:0.347024:0.232515:0.332740:0.077446:0.332740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
salud.:@0.077446:0.362153:0.114371:0.362153:0.114371:0.347869:0.077446:0.347869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A partir de múltiples :@0.077446:0.377282:0.212180:0.377282:0.212180:0.362997:0.077446:0.362997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
casos, se generaliza un :@0.077446:0.392411:0.226554:0.392411:0.226554:0.378126:0.077446:0.378126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
principio útil para fomentar :@0.077446:0.407540:0.257122:0.407540:0.257122:0.393255:0.077446:0.393255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hábitos saludables en los :@0.077446:0.422669:0.241883:0.422669:0.241883:0.408384:0.077446:0.408384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estudiantes.:@0.077446:0.437797:0.154594:0.437797:0.154594:0.423513:0.077446:0.423513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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