165:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial, numérico y variacional:@0.522009:0.043661:0.926913:0.043661:0.926913:0.024916:0.522009:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si el globo se está inflando, tanto el volumen   como el radio   están cambiando con el :@0.073089:0.136836:0.710477:0.136836:0.710477:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.403462:0.136836:0.412574:0.136836:0.412574:0.120430:0.403462:0.120430:0.000000
r:@0.521618:0.136836:0.526901:0.136836:0.526901:0.120430:0.521618:0.120430:0.000000
tiempo. Queremos saber cómo cambia el radio (:@0.073070:0.155004:0.421693:0.155004:0.421693:0.138570:0.073070:0.138570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dr:@0.425357:0.147237:0.436932:0.147237:0.436932:0.134113:0.425357:0.134113:0.000000:0.000000
dt:@0.425313:0.160351:0.436961:0.160351:0.436961:0.147226:0.425313:0.147226:0.000000:0.000000
) con respecto a la velocidad a la que :@0.440816:0.155010:0.710527:0.155010:0.710527:0.138576:0.440816:0.138576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambia el volumen ( ).:@0.073094:0.173177:0.247036:0.173183:0.247036:0.156750:0.073094:0.156743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dV:@0.222680:0.165411:0.237318:0.165411:0.237318:0.152286:0.222680:0.152286:0.000000:0.000000
dt:@0.224182:0.178525:0.235830:0.178525:0.235830:0.165400:0.224182:0.165400:0.000000:0.000000
• :@0.104633:0.200547:0.113137:0.200547:0.113137:0.184113:0.104633:0.184113:0.000000:0.000000
Derivamos la ecuación del volumen con respecto al tiempo  ::@0.134834:0.200547:0.578909:0.200547:0.578909:0.184113:0.134834:0.184113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.570405:0.200547:0.575780:0.200547:0.575780:0.184141:0.570405:0.184141:0.000000
dV:@0.341472:0.217294:0.359769:0.217294:0.359769:0.200888:0.341472:0.200888:0.000000:0.000000
dt:@0.343350:0.233687:0.357910:0.233687:0.357910:0.217281:0.343350:0.217281:0.000000:0.000000
 = :@0.364868:0.225920:0.383754:0.225920:0.383754:0.209487:0.364868:0.209487:0.000000:0.000000:0.000000
d:@0.393350:0.219082:0.402609:0.219082:0.402609:0.202676:0.393350:0.202676:0.000000
dt:@0.390700:0.235474:0.405260:0.235474:0.405260:0.219068:0.390700:0.219068:0.000000:0.000000
  :@0.412218:0.225919:0.420207:0.225919:0.420207:0.209485:0.412218:0.209485:0.000000:0.000000
4:@0.430098:0.219470:0.439081:0.219470:0.439081:0.203037:0.430098:0.203037:0.000000
3:@0.430098:0.235863:0.439081:0.235863:0.439081:0.219429:0.430098:0.219429:0.000000
p:@0.448584:0.226063:0.460862:0.226063:0.460862:0.212347:0.448584:0.212347:0.000000
r:@0.460770:0.226618:0.466052:0.226618:0.466052:0.210212:0.460770:0.210212:0.000000
3:@0.465985:0.220554:0.471222:0.220554:0.471222:0.210973:0.465985:0.210973:0.000000
• :@0.104633:0.250781:0.113137:0.250781:0.113137:0.234347:0.104633:0.234347:0.000000:0.000000
Aplicamos la regla de la cadena::@0.134834:0.250781:0.366500:0.250781:0.366500:0.234347:0.134834:0.234347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dV:@0.340634:0.272176:0.358931:0.272176:0.358931:0.255770:0.340634:0.255770:0.000000:0.000000
dt:@0.342511:0.288568:0.357071:0.288568:0.357071:0.272162:0.342511:0.272162:0.000000:0.000000
 = 4 :@0.364029:0.280802:0.395782:0.280802:0.395782:0.264368:0.364029:0.264368:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.395671:0.280247:0.407949:0.280247:0.407949:0.266532:0.395671:0.266532:0.000000
r:@0.407857:0.280802:0.413140:0.280802:0.413140:0.264396:0.407857:0.264396:0.000000
2 :@0.413073:0.274737:0.420617:0.274737:0.420617:0.265156:0.413073:0.265156:0.000000:0.000000
dr:@0.425319:0.272553:0.439208:0.272553:0.439208:0.256803:0.425319:0.256803:0.000000:0.000000
dt:@0.425266:0.288289:0.439244:0.288289:0.439244:0.272540:0.425266:0.272540:0.000000:0.000000
• :@0.104633:0.308164:0.113137:0.308164:0.113137:0.291730:0.104633:0.291730:0.000000:0.000000
La ecuación anterior muestra la razón relacionada entre el cambio en el volumen :@0.134834:0.308164:0.710123:0.308164:0.710123:0.291730:0.134834:0.291730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y el cambio en el radio. Si conocemos el valor de :@0.134760:0.326331:0.513480:0.326331:0.513480:0.309897:0.134760:0.309897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dV:@0.516582:0.318565:0.531219:0.318565:0.531219:0.305440:0.516582:0.305440:0.000000:0.000000
dt:@0.518069:0.331679:0.529717:0.331679:0.529717:0.318554:0.518069:0.318554:0.000000:0.000000
 (la tasa de cambio del :@0.533169:0.326338:0.710394:0.326338:0.710394:0.309904:0.533169:0.309904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
volumen) en un instante particular, podemos encontrar :@0.134762:0.343617:0.547578:0.343617:0.547578:0.327184:0.134762:0.327184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dr:@0.552128:0.336739:0.563703:0.336739:0.563703:0.323614:0.552128:0.323614:0.000000:0.000000
dt:@0.552084:0.349852:0.563732:0.349852:0.563732:0.336728:0.552084:0.336728:0.000000:0.000000
 (la tasa de cambio :@0.567672:0.343617:0.710310:0.343617:0.710310:0.327184:0.567672:0.327184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del radio) y viceversa.:@0.134752:0.360259:0.288824:0.360259:0.288824:0.343825:0.134752:0.343825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.3 Aplicaciones de razones relacionadas:@0.073088:0.391199:0.393124:0.391199:0.393124:0.374252:0.073088:0.374252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las razones relacionadas se usan ampliamente en problemas físicos como los siguientes::@0.073088:0.418561:0.706664:0.418561:0.706664:0.402127:0.073088:0.402127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.104633:0.438775:0.113137:0.438775:0.113137:0.422341:0.104633:0.422341:0.000000:0.000000
Movimiento de objetos (cómo cambia la distancia entre dos puntos móviles).:@0.134834:0.438775:0.694192:0.438775:0.694192:0.422341:0.134834:0.422341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.104633:0.458991:0.113137:0.458991:0.113137:0.442557:0.104633:0.442557:0.000000:0.000000
Flujo de líquidos en tanques (relación entre el volumen y la altura del líquido).:@0.134834:0.458991:0.696060:0.458991:0.696060:0.442557:0.134834:0.442557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.104633:0.479207:0.113137:0.479207:0.113137:0.462773:0.104633:0.462773:0.000000:0.000000
Crecimiento de sombras (relación entre la altura de un objeto y la longitud de :@0.134834:0.479207:0.710613:0.479207:0.710613:0.462773:0.134834:0.462773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su sombra).:@0.134760:0.495848:0.218449:0.495848:0.218449:0.479415:0.134760:0.479415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.104633:0.516063:0.113137:0.516063:0.113137:0.499629:0.104633:0.499629:0.000000:0.000000
Velocidad de expansión de gases o cambios en el radio de burbujas.:@0.134834:0.516063:0.628533:0.516063:0.628533:0.499629:0.134834:0.499629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El automóvil y la bicicleta deben tener posiciones representadas como  ( ) y  ( ) :@0.073096:0.540929:0.710372:0.540925:0.710372:0.524491:0.073096:0.524495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x t:@0.628351:0.540929:0.651921:0.540925:0.651921:0.524519:0.628351:0.524523:0.000000:0.000000:0.000000
1:@0.636020:0.541576:0.641257:0.541576:0.641257:0.531995:0.636020:0.531995:0.000000
x t:@0.677672:0.540925:0.701242:0.540925:0.701242:0.524519:0.677672:0.524519:0.000000:0.000000:0.000000
2:@0.685341:0.541576:0.690578:0.541576:0.690578:0.531995:0.685341:0.531995:0.000000
respectivamente y una línea que conecta los dos objetos, etiquetada con  ( ), indicando :@0.073094:0.557567:0.710352:0.557567:0.710352:0.541133:0.073094:0.541133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D t:@0.600425:0.557567:0.621999:0.557567:0.621999:0.541161:0.600425:0.541161:0.000000:0.000000:0.000000
la distancia entre ellos.:@0.073058:0.574209:0.235708:0.574209:0.235708:0.557775:0.073058:0.557775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1. :@0.073058:0.608713:0.156406:0.608713:0.156406:0.592043:0.073058:0.592043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escalera deslizante.:@0.156277:0.608713:0.294243:0.608713:0.294243:0.592279:0.156277:0.592279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un escalera de 10 metros se apoya en una pared. La base de la escalera se aleja de la :@0.073058:0.632497:0.710252:0.632497:0.710252:0.616063:0.073058:0.616063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pared a una velocidad de 1  / . ¿A qué velocidad está descendiendo la pared superior :@0.073058:0.649139:0.710197:0.649139:0.710197:0.632705:0.073058:0.632705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m s:@0.275979:0.649139:0.303295:0.649139:0.303295:0.632733:0.275979:0.632733:0.000000:0.000000:0.000000
de la escalera cuando la base está a 6 metros de la pared?:@0.073058:0.665781:0.489638:0.665781:0.489638:0.649347:0.073058:0.649347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución: :@0.073058:0.693142:0.143513:0.693142:0.143513:0.676709:0.073058:0.676709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.104633:0.713371:0.113137:0.713371:0.113137:0.696937:0.104633:0.696937:0.000000:0.000000
La relación entre la altura   y la distancia de la base  es::@0.134834:0.713371:0.533719:0.713371:0.533719:0.696937:0.134834:0.696937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.319864:0.713371:0.327337:0.713371:0.327337:0.696965:0.319864:0.696965:0.000000
x :@0.504231:0.713371:0.514925:0.713371:0.514925:0.696965:0.504231:0.696965:0.000000:0.000000
x:@0.345229:0.733591:0.352684:0.733591:0.352684:0.717185:0.345229:0.717185:0.000000
2:@0.352627:0.727523:0.357864:0.727523:0.357864:0.717942:0.352627:0.717942:0.000000
 +   = 10 .:@0.357816:0.733587:0.434191:0.733587:0.434191:0.717153:0.357816:0.717153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.376610:0.733587:0.384083:0.733587:0.384083:0.717181:0.376610:0.717181:0.000000
2:@0.384015:0.727523:0.389252:0.727523:0.389252:0.717942:0.384015:0.717942:0.000000
2:@0.425799:0.727523:0.431036:0.727523:0.431036:0.717942:0.425799:0.717942:0.000000
• :@0.104633:0.760950:0.113137:0.760950:0.113137:0.744517:0.104633:0.744517:0.000000:0.000000
Derivamos implícitamente respecto al tiempo  ::@0.134834:0.760950:0.479657:0.760950:0.479657:0.744517:0.134834:0.744517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.471153:0.760950:0.476528:0.760950:0.476528:0.744544:0.471153:0.744544:0.000000
2:@0.321373:0.790975:0.330356:0.790975:0.330356:0.774541:0.321373:0.774541:0.000000
x :@0.330282:0.790975:0.340977:0.790975:0.340977:0.774569:0.330282:0.774569:0.000000:0.000000
dx:@0.346127:0.782344:0.362768:0.782344:0.362768:0.765938:0.346127:0.765938:0.000000:0.000000
dt:@0.347177:0.798736:0.361737:0.798736:0.361737:0.782330:0.347177:0.782330:0.000000:0.000000
 + 2  :@0.367903:0.790970:0.407019:0.790970:0.407019:0.774536:0.367903:0.774536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.395588:0.790970:0.403061:0.790970:0.403061:0.774564:0.395588:0.774564:0.000000
dy:@0.410650:0.783766:0.426642:0.783766:0.426642:0.768016:0.410650:0.768016:0.000000:0.000000
dt:@0.411657:0.799503:0.425635:0.799503:0.425635:0.783753:0.411657:0.783753:0.000000:0.000000
 = 0:@0.430269:0.790970:0.458064:0.790970:0.458064:0.774536:0.430269:0.774536:0.000000:0.000000:0.000000:0.000000
• :@0.104633:0.822597:0.113137:0.822597:0.113137:0.806163:0.104633:0.806163:0.000000:0.000000
Sustituimos   = 6, :@0.134834:0.822597:0.265912:0.822597:0.265912:0.806163:0.134834:0.806163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.223649:0.822597:0.231104:0.822597:0.231104:0.806191:0.223649:0.806191:0.000000
dx:@0.271016:0.814866:0.287656:0.814866:0.287656:0.798460:0.271016:0.798460:0.000000:0.000000
dt:@0.272065:0.831258:0.286625:0.831258:0.286625:0.814852:0.272065:0.814852:0.000000:0.000000
 = 1  / , y   10  – 6  = 8:@0.292792:0.822605:0.478265:0.822597:0.478265:0.806163:0.292792:0.806171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m s:@0.324434:0.822605:0.351732:0.822605:0.351732:0.806199:0.324434:0.806199:0.000000:0.000000:0.000000
2:@0.409060:0.818179:0.414297:0.818179:0.414297:0.808597:0.409060:0.808597:0.000000
2:@0.440177:0.818179:0.445414:0.818179:0.445414:0.808597:0.440177:0.808597:0.000000
2(6) (1) + 2 (8) :@0.310372:0.851720:0.414502:0.851720:0.414502:0.835286:0.310372:0.835286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.419504:0.843992:0.436162:0.843992:0.436162:0.827586:0.419504:0.827586:0.000000:0.000000
dt:@0.420553:0.860384:0.435113:0.860384:0.435113:0.843978:0.420553:0.843978:0.000000:0.000000
 = 0:@0.441280:0.851730:0.469075:0.851730:0.469075:0.835297:0.441280:0.835297:0.000000:0.000000:0.000000:0.000000
• :@0.104633:0.883351:0.113137:0.883351:0.113137:0.866917:0.104633:0.866917:0.000000:0.000000
Despejamos :@0.134834:0.883351:0.229053:0.883351:0.229053:0.866917:0.134834:0.866917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.234104:0.875620:0.250763:0.875620:0.250763:0.859214:0.234104:0.859214:0.000000:0.000000
dt:@0.235154:0.892012:0.249714:0.892012:0.249714:0.875606:0.235154:0.875606:0.000000:0.000000
::@0.255880:0.883359:0.259083:0.883359:0.259083:0.866925:0.255880:0.866925:0.000000
dy:@0.307507:0.905639:0.324166:0.905639:0.324166:0.889233:0.307507:0.889233:0.000000:0.000000
dt:@0.308557:0.922032:0.323117:0.922032:0.323117:0.905626:0.308557:0.905626:0.000000:0.000000
 = – :@0.329283:0.913378:0.361257:0.913378:0.361257:0.896944:0.329283:0.896944:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.365736:0.904746:0.383628:0.904746:0.383628:0.888312:0.365736:0.888312:0.000000:0.000000
16:@0.365736:0.921138:0.383628:0.921138:0.383628:0.904704:0.365736:0.904704:0.000000:0.000000
 = –0,75  /:@0.388119:0.913372:0.470823:0.913372:0.470823:0.896938:0.388119:0.896938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m s:@0.449821:0.913372:0.477119:0.913372:0.477119:0.896966:0.449821:0.896966:0.000000:0.000000:0.000000
La parte superior de la escalera desciende a 0,75  / .:@0.103212:0.940734:0.486064:0.940734:0.486064:0.924300:0.103212:0.924300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m s:@0.455637:0.940734:0.482935:0.940734:0.482935:0.924328:0.455637:0.924328:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.740294:0.147052:0.906668:0.147052:0.906668:0.130105:0.740294:0.130105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas y :@0.740294:0.163694:0.849287:0.163694:0.849287:0.147260:0.740294:0.147260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
física:@0.740294:0.180336:0.775875:0.180336:0.775875:0.163902:0.740294:0.163902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Movimiento de objetos :@0.743301:0.216581:0.904162:0.216581:0.904162:0.201427:0.743301:0.201427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(cambio de distancia :@0.743301:0.231710:0.886559:0.231710:0.886559:0.216556:0.743301:0.216556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre dos puntos móviles):@0.743301:0.246839:0.918300:0.246839:0.918300:0.231685:0.743301:0.231685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera dos objetos :@0.743301:0.261968:0.894043:0.261968:0.894043:0.247028:0.743301:0.247028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se mueven en línea :@0.743301:0.277097:0.904753:0.277097:0.904753:0.262157:0.743301:0.262157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta, por ejemplo, :@0.743301:0.292226:0.870157:0.292226:0.870157:0.277286:0.743301:0.277286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un automóvil y una :@0.743301:0.307355:0.875067:0.307355:0.875067:0.292415:0.743301:0.292415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bicicleta. La distancia :@0.743301:0.322483:0.885555:0.322483:0.885555:0.307544:0.743301:0.307544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre ellos cambia con :@0.743301:0.337612:0.896453:0.337612:0.896453:0.322673:0.743301:0.322673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el tiempo, y esa tasa de :@0.743301:0.352741:0.899781:0.352741:0.899781:0.337801:0.743301:0.337801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambio depende de las :@0.743301:0.367870:0.902390:0.367870:0.902390:0.352930:0.743301:0.352930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidades de ambos :@0.743301:0.382999:0.895054:0.382999:0.895054:0.368059:0.743301:0.368059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
objetos. Si  ( ) es la :@0.743301:0.398128:0.874705:0.398128:0.874705:0.383188:0.743301:0.383188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x t:@0.813784:0.398128:0.834243:0.398128:0.834243:0.383214:0.813784:0.383214:0.000000:0.000000:0.000000
1:@0.820506:0.398189:0.825029:0.398189:0.825029:0.389915:0.820506:0.389915:0.000000
posición de un objeto :@0.743294:0.413257:0.892202:0.413257:0.892202:0.398317:0.743294:0.398317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  ( ) es la posición del :@0.743294:0.428386:0.899033:0.428386:0.899033:0.413446:0.743294:0.413446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x t:@0.754171:0.428386:0.774633:0.428386:0.774633:0.413471:0.754171:0.413471:0.000000:0.000000:0.000000
2:@0.760898:0.428447:0.765421:0.428447:0.765421:0.420173:0.760898:0.420173:0.000000
otro, la distancia entre :@0.743307:0.443515:0.892154:0.443515:0.892154:0.428575:0.743307:0.428575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ellos es :@0.743307:0.458644:0.794806:0.458644:0.794806:0.443704:0.743307:0.443704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D(t)= x (t)−x (t):@0.794680:0.458644:0.890576:0.458644:0.890576:0.443729:0.794680:0.443729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.838252:0.458705:0.842534:0.458705:0.842534:0.450445:0.838252:0.450445:0.000000
2:@0.872705:0.458705:0.876987:0.458705:0.876987:0.450445:0.872705:0.450445:0.000000
. :@0.890525:0.458644:0.897102:0.458644:0.897102:0.443704:0.890525:0.443704:0.000000:0.000000
La derivada de esta :@0.743301:0.473773:0.873820:0.473773:0.873820:0.458833:0.743301:0.458833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función nos da la tasa de :@0.743301:0.488902:0.910539:0.488902:0.910539:0.473962:0.743301:0.473962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambio de la distancia :@0.743301:0.504031:0.894458:0.504031:0.894458:0.489091:0.743301:0.489091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con respecto al tiempo, es :@0.743301:0.519160:0.920082:0.519160:0.920082:0.504220:0.743301:0.504220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decir, la velocidad relativa :@0.743301:0.534289:0.915171:0.534289:0.915171:0.519349:0.743301:0.519349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre los dos objetos. :@0.743301:0.549418:0.887378:0.549418:0.887378:0.534478:0.743301:0.534478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El automóvil y la bicicleta :@0.743301:0.655320:0.912845:0.655320:0.912845:0.640380:0.743301:0.640380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deben tener posiciones :@0.743301:0.670449:0.902703:0.670449:0.902703:0.655509:0.743301:0.655509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representadas como  ( ) :@0.743301:0.685578:0.910941:0.685578:0.910941:0.670638:0.743301:0.670638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x t:@0.882225:0.685578:0.902908:0.685578:0.902908:0.670663:0.882225:0.670663:0.000000:0.000000:0.000000
1:@0.888936:0.688462:0.893696:0.688462:0.893696:0.679752:0.888936:0.679752:0.000000
y  ( ) respectivamente y :@0.743301:0.700707:0.908288:0.700707:0.908288:0.685767:0.743301:0.685767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x t:@0.754178:0.700707:0.774869:0.700707:0.774869:0.685792:0.754178:0.685792:0.000000:0.000000:0.000000
2:@0.760898:0.703591:0.765659:0.703591:0.765659:0.694881:0.760898:0.694881:0.000000
una línea que conecta los :@0.743292:0.715836:0.915810:0.715836:0.915810:0.700896:0.743292:0.700896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos objetos, etiquetada :@0.743292:0.730965:0.902150:0.730965:0.902150:0.716025:0.743292:0.716025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con  ( ), para indicar la :@0.743292:0.746094:0.898031:0.746094:0.898031:0.731154:0.743292:0.731154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D t:@0.771991:0.746094:0.791653:0.746094:0.791653:0.731179:0.771991:0.731179:0.000000:0.000000:0.000000
distancia entre ellos.:@0.743276:0.761223:0.876533:0.761223:0.876533:0.746283:0.743276:0.746283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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