19:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la práctica se presentan algunos productos de números reales a los que se los :@0.073089:0.229040:0.710729:0.229040:0.710729:0.213327:0.073089:0.213327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desarrolla con la aplicación de las propiedades algebraicas de los números reales. Así, :@0.073089:0.245681:0.710558:0.245681:0.710558:0.229969:0.073089:0.229969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando se escribe el lado derecho, como el producto del lado izquierdo, decimos que se :@0.073089:0.262323:0.710440:0.262323:0.710440:0.246611:0.073089:0.246611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ha factorado, y cuando realizamos el producto y obtenemos el lado derecho, decimos :@0.073089:0.278965:0.710267:0.278965:0.710267:0.263252:0.073089:0.263252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que hemos aplicado la propiedad distributiva. A esos productos, de manera particular, se :@0.073089:0.295607:0.709952:0.295607:0.709952:0.279894:0.073089:0.279894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los conoce como productos notables.:@0.073089:0.312249:0.347088:0.312249:0.347088:0.296536:0.073089:0.296536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema.:@0.073089:0.339611:0.141538:0.339611:0.141538:0.322941:0.073089:0.322941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.141251:0.339611:0.145061:0.339611:0.145061:0.322664:0.141251:0.322664:0.000000
Para todo :@0.144804:0.339611:0.216542:0.339611:0.216542:0.323898:0.144804:0.323898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b, x:@0.216224:0.339611:0.253579:0.339611:0.253579:0.324175:0.216224:0.324175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.253369:0.340152:0.268703:0.340152:0.268703:0.324980:0.253369:0.324980:0.000000
R:@0.268424:0.338634:0.281110:0.338634:0.281110:0.326322:0.268424:0.326322:0.000000
, se verifican las siguientes propiedades::@0.280845:0.339612:0.560168:0.339612:0.560168:0.323899:0.280845:0.323899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i. :@0.104633:0.366975:0.115567:0.366975:0.115567:0.351262:0.104633:0.351262:0.000000:0.000000:0.000000
(     ) (     )       (     )      .:@0.134834:0.366975:0.403484:0.366975:0.403484:0.351262:0.134834:0.351262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.139638:0.366975:0.147093:0.366975:0.147093:0.351540:0.139638:0.351540:0.000000
1:@0.150977:0.366420:0.166310:0.366420:0.166310:0.352705:0.150977:0.352705:0.000000
a x:@0.170176:0.366975:0.200364:0.366975:0.200364:0.351540:0.170176:0.351540:0.000000:0.000000:0.000000
1:@0.204248:0.366420:0.219581:0.366420:0.219581:0.352705:0.204248:0.352705:0.000000
b:@0.223446:0.366975:0.232705:0.366975:0.232705:0.351540:0.223446:0.351540:0.000000
5:@0.241375:0.366420:0.256708:0.366420:0.256708:0.352705:0.241375:0.352705:0.000000
x:@0.260574:0.366975:0.268029:0.366975:0.268029:0.351540:0.260574:0.351540:0.000000
2:@0.267952:0.360911:0.273189:0.360911:0.273189:0.351751:0.267952:0.351751:0.000000
1:@0.277100:0.366420:0.292434:0.366420:0.292434:0.352705:0.277100:0.352705:0.000000
a:@0.301085:0.366975:0.310344:0.366975:0.310344:0.351540:0.301085:0.351540:0.000000
1:@0.314228:0.366420:0.329561:0.366420:0.329561:0.352705:0.314228:0.352705:0.000000
b x:@0.333426:0.366975:0.358810:0.366975:0.358810:0.351540:0.333426:0.351540:0.000000:0.000000:0.000000
1:@0.362694:0.366420:0.378027:0.366420:0.378027:0.352705:0.362694:0.352705:0.000000
ab:@0.381893:0.366975:0.400337:0.366975:0.400337:0.351540:0.381893:0.351540:0.000000:0.000000
ii.  (     ) (     )       (     )      .:@0.104633:0.392194:0.403484:0.392194:0.403484:0.376481:0.104633:0.376481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.139638:0.392194:0.147093:0.392194:0.147093:0.376759:0.139638:0.376759:0.000000
2:@0.150977:0.391639:0.166310:0.391639:0.166310:0.377923:0.150977:0.377923:0.000000
a x:@0.170176:0.392194:0.200364:0.392194:0.200364:0.376759:0.170176:0.376759:0.000000:0.000000:0.000000
2:@0.204248:0.391639:0.219581:0.391639:0.219581:0.377923:0.204248:0.377923:0.000000
b:@0.223446:0.392194:0.232705:0.392194:0.232705:0.376759:0.223446:0.376759:0.000000
5:@0.241375:0.391639:0.256708:0.391639:0.256708:0.377923:0.241375:0.377923:0.000000
x:@0.260574:0.392194:0.268029:0.392194:0.268029:0.376759:0.260574:0.376759:0.000000
2:@0.267952:0.386130:0.273189:0.386130:0.273189:0.376969:0.267952:0.376969:0.000000
2:@0.277100:0.391639:0.292434:0.391639:0.292434:0.377923:0.277100:0.377923:0.000000
a:@0.301085:0.392194:0.310344:0.392194:0.310344:0.376759:0.301085:0.376759:0.000000
1:@0.314228:0.391639:0.329561:0.391639:0.329561:0.377923:0.314228:0.377923:0.000000
b x:@0.333426:0.392194:0.358810:0.392194:0.358810:0.376759:0.333426:0.376759:0.000000:0.000000:0.000000
1:@0.362694:0.391639:0.378027:0.391639:0.378027:0.377923:0.362694:0.377923:0.000000
ab:@0.381893:0.392194:0.400337:0.392194:0.400337:0.376759:0.381893:0.376759:0.000000:0.000000
iii.  (     )        2     .:@0.104633:0.417413:0.319829:0.417413:0.319829:0.401700:0.104633:0.401700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.139638:0.417413:0.148897:0.417413:0.148897:0.401977:0.139638:0.401977:0.000000
1:@0.152781:0.416858:0.168114:0.416858:0.168114:0.403142:0.152781:0.403142:0.000000
b:@0.171980:0.417413:0.181239:0.417413:0.181239:0.401977:0.171980:0.401977:0.000000
2:@0.185958:0.411349:0.191194:0.411349:0.191194:0.402188:0.185958:0.402188:0.000000
5:@0.195104:0.416858:0.210438:0.416858:0.210438:0.403142:0.195104:0.403142:0.000000
a:@0.214303:0.417413:0.223562:0.417413:0.223562:0.401977:0.214303:0.401977:0.000000
2:@0.223482:0.411349:0.228718:0.411349:0.228718:0.402188:0.223482:0.402188:0.000000
1:@0.232628:0.416858:0.247962:0.416858:0.247962:0.403142:0.232628:0.403142:0.000000
ab:@0.260718:0.417413:0.279162:0.417413:0.279162:0.401977:0.260718:0.401977:0.000000:0.000000
1:@0.283064:0.416858:0.298397:0.416858:0.298397:0.403142:0.283064:0.403142:0.000000
b:@0.302263:0.417413:0.311522:0.417413:0.311522:0.401977:0.302263:0.401977:0.000000
2:@0.311437:0.411349:0.316673:0.411349:0.316673:0.402188:0.311437:0.402188:0.000000
iv.  (     )        2    b .:@0.104633:0.442631:0.320717:0.442631:0.320717:0.426919:0.104633:0.426919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.139638:0.442631:0.148897:0.442631:0.148897:0.427196:0.139638:0.427196:0.000000
2:@0.152781:0.442076:0.168114:0.442076:0.168114:0.428361:0.152781:0.428361:0.000000
b:@0.171980:0.442631:0.181239:0.442631:0.181239:0.427196:0.171980:0.427196:0.000000
2:@0.185958:0.436567:0.191194:0.436567:0.191194:0.427407:0.185958:0.427407:0.000000
5:@0.195104:0.442076:0.210438:0.442076:0.210438:0.428361:0.195104:0.428361:0.000000
a:@0.214303:0.442631:0.223562:0.442631:0.223562:0.427196:0.214303:0.427196:0.000000
2:@0.223482:0.436567:0.228718:0.436567:0.228718:0.427407:0.223482:0.427407:0.000000
2:@0.232630:0.442076:0.247963:0.442076:0.247963:0.428361:0.232630:0.428361:0.000000
ab:@0.260720:0.442631:0.279164:0.442631:0.279164:0.427196:0.260720:0.427196:0.000000:0.000000
1:@0.283066:0.442076:0.298399:0.442076:0.298399:0.428361:0.283066:0.428361:0.000000
2:@0.312323:0.436567:0.317560:0.436567:0.317560:0.427407:0.312323:0.427407:0.000000
v.  (     )    a    3:@0.104633:0.467850:0.259895:0.467850:0.259895:0.452137:0.104633:0.452137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.139638:0.467850:0.148897:0.467850:0.148897:0.452415:0.139638:0.452415:0.000000
2:@0.152781:0.467295:0.168114:0.467295:0.168114:0.453579:0.152781:0.453579:0.000000
b:@0.171980:0.467850:0.181239:0.467850:0.181239:0.452415:0.171980:0.452415:0.000000
3:@0.185958:0.461786:0.191194:0.461786:0.191194:0.452625:0.185958:0.452625:0.000000
5:@0.195104:0.467295:0.210438:0.467295:0.210438:0.453579:0.195104:0.453579:0.000000
3:@0.222566:0.461786:0.227803:0.461786:0.227803:0.452625:0.222566:0.452625:0.000000
2:@0.231713:0.467295:0.247046:0.467295:0.247046:0.453579:0.231713:0.453579:0.000000
a b:@0.259802:0.467850:0.283441:0.467850:0.283441:0.452415:0.259802:0.452415:0.000000:0.000000:0.000000
2:@0.268993:0.461786:0.274230:0.461786:0.274230:0.452625:0.268993:0.452625:0.000000
   3:@0.283367:0.467850:0.315506:0.467850:0.315506:0.452137:0.283367:0.452137:0.000000:0.000000:0.000000:0.000000
1:@0.287325:0.467295:0.302658:0.467295:0.302658:0.453579:0.287325:0.453579:0.000000
ab:@0.315414:0.467850:0.333858:0.467850:0.333858:0.452415:0.315414:0.452415:0.000000:0.000000
2:@0.333805:0.461786:0.339042:0.461786:0.339042:0.452625:0.333805:0.452625:0.000000
    .:@0.338994:0.467850:0.379722:0.467850:0.379722:0.452137:0.338994:0.452137:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.342951:0.467295:0.358285:0.467295:0.358285:0.453579:0.342951:0.453579:0.000000
b:@0.362150:0.467850:0.371409:0.467850:0.371409:0.452415:0.362150:0.452415:0.000000
3:@0.371329:0.461786:0.376566:0.461786:0.376566:0.452625:0.371329:0.452625:0.000000
vi.  (     )    a    3:@0.104633:0.493070:0.259895:0.493070:0.259895:0.477357:0.104633:0.477357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.139640:0.493070:0.148899:0.493070:0.148899:0.477635:0.139640:0.477635:0.000000
1:@0.152783:0.492515:0.168116:0.492515:0.168116:0.478799:0.152783:0.478799:0.000000
b:@0.171981:0.493070:0.181240:0.493070:0.181240:0.477635:0.171981:0.477635:0.000000
3:@0.185958:0.487006:0.191194:0.487006:0.191194:0.477845:0.185958:0.477845:0.000000
5:@0.195104:0.492515:0.210438:0.492515:0.210438:0.478799:0.195104:0.478799:0.000000
3:@0.222566:0.487006:0.227803:0.487006:0.227803:0.477845:0.222566:0.477845:0.000000
1:@0.231713:0.492515:0.247046:0.492515:0.247046:0.478799:0.231713:0.478799:0.000000
a b:@0.259802:0.493070:0.283441:0.493070:0.283441:0.477635:0.259802:0.477635:0.000000:0.000000:0.000000
2:@0.268993:0.487006:0.274230:0.487006:0.274230:0.477845:0.268993:0.477845:0.000000
   3:@0.283367:0.493070:0.315506:0.493070:0.315506:0.477357:0.283367:0.477357:0.000000:0.000000:0.000000:0.000000
1:@0.287325:0.492515:0.302658:0.492515:0.302658:0.478799:0.287325:0.478799:0.000000
ab:@0.315414:0.493070:0.333858:0.493070:0.333858:0.477635:0.315414:0.477635:0.000000:0.000000
2:@0.333805:0.487006:0.339042:0.487006:0.339042:0.477845:0.333805:0.477845:0.000000
    .:@0.338994:0.493070:0.379722:0.493070:0.379722:0.477357:0.338994:0.477357:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.342951:0.492515:0.358285:0.492515:0.358285:0.478799:0.342951:0.478799:0.000000
b:@0.362150:0.493070:0.371409:0.493070:0.371409:0.477635:0.362150:0.477635:0.000000
3:@0.371330:0.487006:0.376567:0.487006:0.376567:0.477845:0.371330:0.477845:0.000000
Demostración.:@0.073094:0.520432:0.181872:0.520432:0.181872:0.503762:0.073094:0.503762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.181560:0.520433:0.189107:0.520433:0.189107:0.503486:0.181560:0.503486:0.000000:0.000000
Sean :@0.193573:0.520433:0.233086:0.520433:0.233086:0.504720:0.193573:0.504720:0.000000:0.000000:0.000000:0.000000:0.000000
a, b, x:@0.232983:0.520433:0.270339:0.520433:0.270339:0.504998:0.232983:0.504998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.270129:0.520433:0.274160:0.520433:0.274160:0.504720:0.270129:0.504720:0.000000
, probaremos la propiedad :@0.301460:0.520433:0.497348:0.520433:0.497348:0.504720:0.301460:0.504720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(     ) (     )       (     )      . :@0.193583:0.537075:0.466252:0.537075:0.466252:0.521362:0.193583:0.521362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.198371:0.537075:0.205826:0.537075:0.205826:0.521640:0.198371:0.521640:0.000000
1:@0.209710:0.536520:0.225043:0.536520:0.225043:0.522804:0.209710:0.522804:0.000000
a x:@0.228908:0.537075:0.259096:0.537075:0.259096:0.521640:0.228908:0.521640:0.000000:0.000000:0.000000
1:@0.262980:0.536520:0.278313:0.536520:0.278313:0.522804:0.262980:0.522804:0.000000
b:@0.282179:0.537075:0.291438:0.537075:0.291438:0.521640:0.282179:0.521640:0.000000
5:@0.300108:0.536520:0.315441:0.536520:0.315441:0.522804:0.300108:0.522804:0.000000
x:@0.319306:0.537075:0.326761:0.537075:0.326761:0.521640:0.319306:0.521640:0.000000
2:@0.326689:0.531011:0.331926:0.531011:0.331926:0.521850:0.326689:0.521850:0.000000
1:@0.335836:0.536520:0.351169:0.536520:0.351169:0.522804:0.335836:0.522804:0.000000
a:@0.359821:0.537075:0.369080:0.537075:0.369080:0.521640:0.359821:0.521640:0.000000
1:@0.372964:0.536520:0.388297:0.536520:0.388297:0.522804:0.372964:0.522804:0.000000
b x:@0.392162:0.537075:0.417546:0.537075:0.417546:0.521640:0.392162:0.521640:0.000000:0.000000:0.000000
1:@0.421430:0.536520:0.436763:0.536520:0.436763:0.522804:0.421430:0.522804:0.000000
ab:@0.440629:0.537075:0.459073:0.537075:0.459073:0.521640:0.440629:0.521640:0.000000:0.000000
Por las propiedades distributiva, conmutativa de la adición y producto, se tiene::@0.073091:0.564437:0.646149:0.564437:0.646149:0.548724:0.073091:0.548724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(     )(     )    (     ):@0.073091:0.591799:0.243708:0.591799:0.243708:0.576086:0.073091:0.576086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.077564:0.591799:0.085019:0.591799:0.085019:0.576363:0.077564:0.576363:0.000000
1:@0.088240:0.591244:0.103573:0.591244:0.103573:0.577528:0.088240:0.577528:0.000000
a x:@0.106776:0.591799:0.132013:0.591799:0.132013:0.576363:0.106776:0.576363:0.000000:0.000000:0.000000
1:@0.135234:0.591244:0.150567:0.591244:0.150567:0.577528:0.135234:0.577528:0.000000
b:@0.153770:0.591799:0.163029:0.591799:0.163029:0.576363:0.153770:0.576363:0.000000
5:@0.170705:0.591244:0.186038:0.591244:0.186038:0.577528:0.170705:0.577528:0.000000
x x:@0.189241:0.591799:0.208219:0.591799:0.208219:0.576363:0.189241:0.576363:0.000000:0.000000:0.000000
1 1:@0.211440:0.591244:0.258636:0.591244:0.258636:0.577528:0.211440:0.577528:0.000000:0.000000:0.000000
b:@0.229976:0.591799:0.239235:0.591799:0.239235:0.576363:0.229976:0.576363:0.000000
a x:@0.258213:0.591799:0.278995:0.591799:0.278995:0.576363:0.258213:0.576363:0.000000:0.000000:0.000000
(     )               :@0.267067:0.591799:0.446850:0.591800:0.446850:0.576087:0.267067:0.576086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.282216:0.591244:0.297549:0.591244:0.297549:0.577528:0.282216:0.577528:0.000000
b:@0.300752:0.591799:0.310011:0.591799:0.310011:0.576363:0.300752:0.576363:0.000000
5:@0.317687:0.591244:0.333020:0.591244:0.333020:0.577528:0.317687:0.577528:0.000000
x:@0.336223:0.591799:0.343678:0.591799:0.343678:0.576363:0.336223:0.576363:0.000000
2:@0.343264:0.585736:0.348501:0.585736:0.348501:0.576576:0.343264:0.576576:0.000000
1:@0.351887:0.591245:0.367221:0.591245:0.367221:0.577530:0.351887:0.577530:0.000000
xb:@0.370423:0.591800:0.386732:0.591800:0.386732:0.576365:0.370423:0.576365:0.000000:0.000000
1:@0.389972:0.591245:0.405305:0.591245:0.405305:0.577530:0.389972:0.577530:0.000000
xa:@0.408508:0.591800:0.424670:0.591800:0.424670:0.576365:0.408508:0.576365:0.000000:0.000000
1:@0.427909:0.591245:0.443242:0.591245:0.443242:0.577530:0.427909:0.577530:0.000000
ab.:@0.446445:0.591800:0.467124:0.591800:0.467124:0.576365:0.446445:0.576365:0.000000:0.000000:0.000000
 :@0.073089:0.608442:0.077120:0.608442:0.077120:0.592729:0.073089:0.592729:0.000000
     :@0.161775:0.608442:0.191430:0.608442:0.191430:0.592729:0.161775:0.592729:0.000000:0.000000:0.000000:0.000000:0.000000
5 1:@0.172525:0.607887:0.221181:0.607887:0.221181:0.594171:0.172525:0.594171:0.000000:0.000000:0.000000
x    bx   ax   ab   x:@0.190988:0.608442:0.342135:0.608442:0.342135:0.593007:0.190988:0.593007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.198001:0.602378:0.203238:0.602378:0.203238:0.593217:0.198001:0.593217:0.000000
1:@0.242165:0.607887:0.257498:0.607887:0.257498:0.594171:0.242165:0.594171:0.000000
1:@0.278648:0.607887:0.293981:0.607887:0.293981:0.594171:0.278648:0.594171:0.000000
5 1:@0.316935:0.607887:0.365589:0.607887:0.365589:0.594171:0.316935:0.594171:0.000000:0.000000:0.000000
2:@0.341691:0.602378:0.346928:0.602378:0.346928:0.593217:0.341691:0.593217:0.000000
   (:@0.346666:0.608442:0.373596:0.608442:0.373596:0.592729:0.346666:0.592729:0.000000:0.000000:0.000000:0.000000
a   b x   ab.:@0.373136:0.608442:0.464112:0.608442:0.464112:0.593007:0.373136:0.593007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.384843:0.607887:0.400176:0.607887:0.400176:0.594171:0.384843:0.594171:0.000000
):@0.411423:0.608442:0.416301:0.608442:0.416301:0.592729:0.411423:0.592729:0.000000
1:@0.425762:0.607887:0.441096:0.607887:0.441096:0.594171:0.425762:0.594171:0.000000
Nótese que :@0.073116:0.635804:0.160948:0.635804:0.160948:0.620091:0.073116:0.620091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax   bx    a   b x.:@0.160808:0.635804:0.297721:0.635804:0.297721:0.620368:0.160808:0.620368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.180633:0.635249:0.195966:0.635249:0.195966:0.621533:0.180633:0.621533:0.000000
5:@0.218791:0.635249:0.234124:0.635249:0.234124:0.621533:0.218791:0.621533:0.000000
(:@0.237272:0.635804:0.242150:0.635804:0.242150:0.620091:0.237272:0.620091:0.000000
1:@0.254520:0.635249:0.269853:0.635249:0.269853:0.621533:0.254520:0.621533:0.000000
):@0.282204:0.635804:0.287082:0.635804:0.287082:0.620091:0.282204:0.620091:0.000000
Conclusión::@0.073135:0.663166:0.159811:0.663166:0.159811:0.646496:0.073135:0.646496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.159501:0.663166:0.163312:0.663166:0.163312:0.646219:0.159501:0.646219:0.000000
(:@0.163238:0.663166:0.168116:0.663166:0.168116:0.647453:0.163238:0.647453:0.000000
x   a x   b:@0.168042:0.663166:0.254336:0.663166:0.254336:0.647730:0.168042:0.647730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.178682:0.662611:0.194015:0.662611:0.194015:0.648895:0.178682:0.648895:0.000000
)(:@0.206366:0.663166:0.216048:0.663166:0.216048:0.647453:0.206366:0.647453:0.000000:0.000000
1:@0.226596:0.662611:0.241929:0.662611:0.241929:0.648895:0.226596:0.648895:0.000000
) :@0.254280:0.663166:0.263116:0.663166:0.263116:0.647453:0.254280:0.647453:0.000000:0.000000
5:@0.263024:0.662611:0.278357:0.662611:0.278357:0.648895:0.263024:0.648895:0.000000
 x:@0.278265:0.663166:0.288960:0.663166:0.288960:0.647730:0.278265:0.647730:0.000000:0.000000
2:@0.288844:0.657104:0.294081:0.657104:0.294081:0.647944:0.288844:0.647944:0.000000
   (:@0.294033:0.663168:0.322068:0.663168:0.322068:0.647456:0.294033:0.647456:0.000000:0.000000:0.000000:0.000000
1:@0.297991:0.662614:0.313324:0.662614:0.313324:0.648898:0.297991:0.648898:0.000000
a   b x   ab.:@0.321975:0.663168:0.417369:0.663168:0.417369:0.647733:0.321975:0.647733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.334419:0.662614:0.349752:0.662614:0.349752:0.648898:0.334419:0.648898:0.000000
):@0.362103:0.663168:0.366981:0.663168:0.366981:0.647456:0.362103:0.647456:0.000000
1:@0.377547:0.662614:0.392880:0.662614:0.392880:0.648898:0.377547:0.648898:0.000000
Teorema:@0.073109:0.690530:0.138006:0.690530:0.138006:0.673861:0.073109:0.673861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.137719:0.690530:0.145616:0.690530:0.145616:0.673583:0.137719:0.673583:0.000000:0.000000
Para todo :@0.145358:0.690530:0.217096:0.690530:0.217096:0.674818:0.145358:0.674818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b :@0.216778:0.690530:0.244223:0.690530:0.244223:0.675095:0.216778:0.675095:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.243984:0.690242:0.258620:0.690242:0.258620:0.676832:0.243984:0.676832:0.000000
 :@0.258357:0.690374:0.261519:0.690374:0.261519:0.675640:0.258357:0.675640:0.000000
R:@0.261273:0.689553:0.273959:0.689553:0.273959:0.677242:0.261273:0.677242:0.000000
, se verifican las siguientes propiedades::@0.273703:0.690531:0.553026:0.690531:0.553026:0.674819:0.273703:0.674819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i. :@0.104633:0.717895:0.115567:0.717895:0.115567:0.702182:0.104633:0.702182:0.000000:0.000000:0.000000
(     ):@0.134836:0.717895:0.186045:0.717895:0.186045:0.702182:0.134836:0.702182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.139640:0.717895:0.148899:0.717895:0.148899:0.702459:0.139640:0.702459:0.000000
2:@0.152783:0.717340:0.168116:0.717340:0.168116:0.703624:0.152783:0.703624:0.000000
b  (a   b)   a    b .:@0.171981:0.717895:0.314516:0.717895:0.314516:0.702459:0.171981:0.702459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.206477:0.717340:0.221810:0.717340:0.221810:0.703624:0.206477:0.703624:0.000000
5:@0.242224:0.717340:0.257557:0.717340:0.257557:0.703624:0.242224:0.703624:0.000000
2:@0.269876:0.711831:0.275113:0.711831:0.275113:0.702670:0.269876:0.702670:0.000000
2:@0.278305:0.717340:0.293638:0.717340:0.293638:0.703624:0.278305:0.703624:0.000000
2:@0.305993:0.711831:0.311230:0.711831:0.311230:0.702670:0.305993:0.702670:0.000000
ii. :@0.104633:0.743113:0.119341:0.743113:0.119341:0.727401:0.104633:0.727401:0.000000:0.000000:0.000000:0.000000
a    b    (a   b)(a    ab   b ).:@0.134836:0.743113:0.360383:0.743113:0.360383:0.727678:0.134836:0.727678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.144028:0.737050:0.149264:0.737050:0.149264:0.727889:0.144028:0.727889:0.000000
2:@0.152456:0.742559:0.167790:0.742559:0.167790:0.728843:0.152456:0.728843:0.000000
3:@0.180146:0.737050:0.185383:0.737050:0.185383:0.727889:0.180146:0.727889:0.000000
5:@0.188575:0.742559:0.203908:0.742559:0.203908:0.728843:0.188575:0.728843:0.000000
2:@0.224322:0.742559:0.239655:0.742559:0.239655:0.728843:0.224322:0.728843:0.000000
2:@0.270818:0.737050:0.276055:0.737050:0.276055:0.727889:0.270818:0.727889:0.000000
1:@0.279249:0.742559:0.294582:0.742559:0.294582:0.728843:0.279249:0.728843:0.000000
1:@0.319377:0.742559:0.334710:0.742559:0.334710:0.728843:0.319377:0.728843:0.000000
2:@0.347056:0.737050:0.352293:0.737050:0.352293:0.727889:0.347056:0.727889:0.000000
iii. :@0.104633:0.768332:0.123114:0.768332:0.123114:0.752619:0.104633:0.752619:0.000000:0.000000:0.000000:0.000000:0.000000
a    b    (a   b)(a    ab   b ).:@0.134836:0.768332:0.360383:0.768332:0.360383:0.752897:0.134836:0.752897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.144028:0.762268:0.149264:0.762268:0.149264:0.753108:0.144028:0.753108:0.000000
1:@0.152456:0.767777:0.167790:0.767777:0.167790:0.754062:0.152456:0.754062:0.000000
3:@0.180146:0.762268:0.185383:0.762268:0.185383:0.753108:0.180146:0.753108:0.000000
5:@0.188575:0.767777:0.203908:0.767777:0.203908:0.754062:0.188575:0.754062:0.000000
1:@0.224322:0.767777:0.239655:0.767777:0.239655:0.754062:0.224322:0.754062:0.000000
2:@0.270818:0.762268:0.276055:0.762268:0.276055:0.753108:0.270818:0.753108:0.000000
2:@0.279249:0.767777:0.294582:0.767777:0.294582:0.754062:0.279249:0.754062:0.000000
1:@0.319377:0.767777:0.334710:0.767777:0.334710:0.754062:0.319377:0.754062:0.000000
2:@0.347056:0.762268:0.352293:0.762268:0.352293:0.753108:0.347056:0.753108:0.000000
iv. :@0.104633:0.793552:0.123181:0.793552:0.123181:0.777839:0.104633:0.777839:0.000000:0.000000:0.000000:0.000000
a    b    (a   b) (a   b)(a    b )   (a    b ) (a    b ). :@0.134836:0.793552:0.521796:0.793552:0.521796:0.778117:0.134836:0.778117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.144028:0.787488:0.149264:0.787488:0.149264:0.778328:0.144028:0.778328:0.000000
2:@0.152456:0.792997:0.167790:0.792997:0.167790:0.779282:0.152456:0.779282:0.000000
4:@0.180146:0.787488:0.185383:0.787488:0.185383:0.778328:0.180146:0.778328:0.000000
5:@0.188575:0.792997:0.203908:0.792997:0.203908:0.779282:0.188575:0.779282:0.000000
2:@0.224322:0.792997:0.239655:0.792997:0.239655:0.779282:0.224322:0.779282:0.000000
1:@0.277316:0.792997:0.292649:0.792997:0.292649:0.779282:0.277316:0.779282:0.000000
2:@0.323810:0.787488:0.329046:0.787488:0.329046:0.778328:0.323810:0.778328:0.000000
1:@0.332238:0.792997:0.347572:0.792997:0.347572:0.779282:0.332238:0.779282:0.000000
2:@0.359928:0.787488:0.365165:0.787488:0.365165:0.778328:0.359928:0.778328:0.000000
5:@0.373179:0.792997:0.388513:0.792997:0.388513:0.779282:0.373179:0.779282:0.000000
2:@0.405668:0.787488:0.410905:0.787488:0.410905:0.778328:0.405668:0.778328:0.000000
2:@0.414099:0.792997:0.429432:0.792997:0.429432:0.779282:0.414099:0.779282:0.000000
2:@0.441787:0.787488:0.447024:0.787488:0.447024:0.778328:0.441787:0.778328:0.000000
2:@0.469039:0.787488:0.474276:0.787488:0.474276:0.778328:0.469039:0.778328:0.000000
1:@0.477468:0.792997:0.492802:0.792997:0.492802:0.779282:0.477468:0.779282:0.000000
2:@0.505156:0.787488:0.510393:0.787488:0.510393:0.778328:0.505156:0.778328:0.000000
v. :@0.104633:0.818771:0.119396:0.818771:0.119396:0.803058:0.104633:0.803058:0.000000:0.000000:0.000000
a    a b:@0.134836:0.818771:0.194594:0.818771:0.194594:0.803335:0.134836:0.803335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.144028:0.812707:0.149264:0.812707:0.149264:0.803546:0.144028:0.803546:0.000000
1:@0.152456:0.818216:0.167790:0.818216:0.167790:0.804500:0.152456:0.804500:0.000000
2 2:@0.180146:0.812707:0.199766:0.812707:0.199766:0.803546:0.180146:0.803546:0.000000:0.000000:0.000000
       (    :@0.199718:0.818771:0.302795:0.818771:0.302795:0.803058:0.199718:0.803058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.203675:0.818216:0.219009:0.818216:0.219009:0.804500:0.203675:0.804500:0.000000
b:@0.222874:0.818771:0.232133:0.818771:0.232133:0.803335:0.222874:0.803335:0.000000
4:@0.232053:0.812707:0.237290:0.812707:0.237290:0.803546:0.232053:0.803546:0.000000
5:@0.241199:0.818216:0.256533:0.818216:0.256533:0.804500:0.241199:0.804500:0.000000
a:@0.265184:0.818771:0.274443:0.818771:0.274443:0.803335:0.265184:0.803335:0.000000
2:@0.274374:0.812707:0.279611:0.812707:0.279611:0.803546:0.274374:0.803546:0.000000
2:@0.283523:0.818216:0.298856:0.818216:0.298856:0.804500:0.283523:0.804500:0.000000
ab   b a:@0.302722:0.818771:0.376059:0.818771:0.376059:0.803335:0.302722:0.803335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.324350:0.818216:0.339683:0.818216:0.339683:0.804500:0.324350:0.804500:0.000000
2:@0.352019:0.812707:0.357256:0.812707:0.357256:0.803546:0.352019:0.803546:0.000000
)(         ).:@0.357210:0.818771:0.468246:0.818771:0.468246:0.803058:0.357210:0.803058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.375997:0.812707:0.381234:0.812707:0.381234:0.803546:0.375997:0.803546:0.000000
1:@0.385144:0.818216:0.400477:0.818216:0.400477:0.804500:0.385144:0.804500:0.000000
ab:@0.404343:0.818771:0.422787:0.818771:0.422787:0.803335:0.404343:0.803335:0.000000:0.000000
1:@0.426689:0.818216:0.442023:0.818216:0.442023:0.804500:0.426689:0.804500:0.000000
b:@0.445888:0.818771:0.455147:0.818771:0.455147:0.803335:0.445888:0.803335:0.000000
2:@0.455050:0.812707:0.460287:0.812707:0.460287:0.803546:0.455050:0.803546:0.000000
Demostración.:@0.073098:0.847922:0.181875:0.847922:0.181875:0.831252:0.073098:0.831252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sean :@0.181572:0.847922:0.225042:0.847922:0.225042:0.832209:0.181572:0.832209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b :@0.224939:0.847922:0.252384:0.847922:0.252384:0.832486:0.224939:0.832486:0.000000:0.000000:0.000000:0.000000:0.000000
, probaremos la propiedad :@0.281160:0.847920:0.476974:0.847920:0.476974:0.832208:0.281160:0.832208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iv.:@0.476737:0.847920:0.490789:0.847920:0.490789:0.832485:0.476737:0.832485:0.000000:0.000000:0.000000
En primer lugar, por la parte   tenemos (:@0.073084:0.864562:0.363010:0.864562:0.363010:0.848850:0.073084:0.848850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i,:@0.278712:0.864562:0.285762:0.864562:0.285762:0.849127:0.278712:0.849127:0.000000:0.000000
a   b a   b:@0.362870:0.864562:0.452771:0.864562:0.452771:0.849127:0.362870:0.849127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.375313:0.864007:0.390646:0.864007:0.390646:0.850292:0.375313:0.850292:0.000000
)(:@0.402998:0.864562:0.412680:0.864562:0.412680:0.848850:0.402998:0.848850:0.000000:0.000000
1:@0.425031:0.864007:0.440364:0.864007:0.440364:0.850292:0.425031:0.850292:0.000000
)        . :@0.452716:0.864562:0.539794:0.864562:0.539794:0.848850:0.452716:0.848850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.461459:0.864007:0.476792:0.864007:0.476792:0.850292:0.461459:0.850292:0.000000
a:@0.480658:0.864562:0.489917:0.864562:0.489917:0.849127:0.480658:0.849127:0.000000
2:@0.489846:0.858498:0.495083:0.858498:0.495083:0.849338:0.489846:0.849338:0.000000
2:@0.498993:0.864007:0.514326:0.864007:0.514326:0.850292:0.498993:0.850292:0.000000
b:@0.518192:0.864562:0.527451:0.864562:0.527451:0.849127:0.518192:0.849127:0.000000
2:@0.527370:0.858498:0.532607:0.858498:0.532607:0.849338:0.527370:0.849338:0.000000
Luego, por la misma propiedad, se tiene que (     )(     )        , o también que :@0.073096:0.891924:0.710451:0.891925:0.710451:0.876213:0.073096:0.876211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.401702:0.891924:0.410961:0.891924:0.410961:0.876489:0.401702:0.876489:0.000000
2:@0.410883:0.885862:0.416119:0.885862:0.416119:0.876701:0.410883:0.876701:0.000000
2:@0.419735:0.891371:0.435068:0.891371:0.435068:0.877655:0.419735:0.877655:0.000000
b a:@0.438639:0.891925:0.471871:0.891925:0.471871:0.876490:0.438639:0.876490:0.000000:0.000000:0.000000
2:@0.447833:0.885862:0.453069:0.885862:0.453069:0.876701:0.447833:0.876701:0.000000
2:@0.471809:0.885862:0.477046:0.885862:0.477046:0.876701:0.471809:0.876701:0.000000
1:@0.480661:0.891371:0.495994:0.891371:0.495994:0.877655:0.480661:0.877655:0.000000
b:@0.499565:0.891925:0.508824:0.891925:0.508824:0.876490:0.499565:0.876490:0.000000
2:@0.508759:0.885862:0.513996:0.885862:0.513996:0.876701:0.508759:0.876701:0.000000
5:@0.522415:0.891371:0.537749:0.891371:0.537749:0.877655:0.522415:0.877655:0.000000
a:@0.541320:0.891925:0.550579:0.891925:0.550579:0.876490:0.541320:0.876490:0.000000
4:@0.550505:0.885862:0.555742:0.885862:0.555742:0.876701:0.550505:0.876701:0.000000
2:@0.559359:0.891371:0.574692:0.891371:0.574692:0.877655:0.559359:0.877655:0.000000
b:@0.578263:0.891925:0.587522:0.891925:0.587522:0.876490:0.578263:0.876490:0.000000
4:@0.587455:0.885862:0.592692:0.885862:0.592692:0.876701:0.587455:0.876701:0.000000
(:@0.073081:0.908567:0.077959:0.908567:0.077959:0.892855:0.073081:0.892855:0.000000
a   b a   b a:@0.077885:0.908567:0.186580:0.908567:0.186580:0.893132:0.077885:0.893132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.090329:0.908013:0.105662:0.908013:0.105662:0.894297:0.090329:0.894297:0.000000
)(:@0.118013:0.908567:0.127695:0.908567:0.127695:0.892855:0.118013:0.892855:0.000000:0.000000
1:@0.140047:0.908013:0.155380:0.908013:0.155380:0.894297:0.140047:0.894297:0.000000
)(     )        .:@0.167731:0.908567:0.312270:0.908567:0.312270:0.892855:0.167731:0.892855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.186508:0.902503:0.191745:0.902503:0.191745:0.893343:0.186508:0.893343:0.000000
1:@0.195655:0.908013:0.210988:0.908013:0.210988:0.894297:0.195655:0.894297:0.000000
b:@0.214854:0.908567:0.224112:0.908567:0.224112:0.893132:0.214854:0.893132:0.000000
2:@0.224032:0.902503:0.229269:0.902503:0.229269:0.893343:0.224032:0.893343:0.000000
5:@0.237965:0.908013:0.253298:0.908013:0.253298:0.894297:0.237965:0.894297:0.000000
a:@0.257164:0.908567:0.266422:0.908567:0.266422:0.893132:0.257164:0.893132:0.000000
4:@0.266354:0.902503:0.271591:0.902503:0.271591:0.893343:0.266354:0.893343:0.000000
2:@0.275501:0.908013:0.290834:0.908013:0.290834:0.894297:0.275501:0.894297:0.000000
b:@0.294699:0.908567:0.303958:0.908567:0.303958:0.893132:0.294699:0.893132:0.000000
4:@0.303878:0.902503:0.309115:0.902503:0.309115:0.893343:0.303878:0.893343:0.000000
La demostración del resto de propiedades se proponen como ejercicio.:@0.073086:0.939507:0.589570:0.939507:0.589570:0.923795:0.073086:0.923795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Utilicen esos volúmenes para comprobar que::@0.073086:0.140297:0.406220:0.140297:0.406220:0.124584:0.073086:0.124584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(     )        3:@0.073086:0.156939:0.199064:0.156934:0.199064:0.141221:0.073086:0.141226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.077890:0.156939:0.087149:0.156939:0.087149:0.141503:0.077890:0.141503:0.000000
1:@0.091033:0.156384:0.106366:0.156384:0.106366:0.142668:0.091033:0.142668:0.000000
b:@0.110232:0.156939:0.119491:0.156939:0.119491:0.141503:0.110232:0.141503:0.000000
3:@0.124210:0.150870:0.129447:0.150870:0.129447:0.141709:0.124210:0.141709:0.000000
5:@0.133358:0.156379:0.148691:0.156379:0.148691:0.142663:0.133358:0.142663:0.000000
a:@0.152556:0.156934:0.161815:0.156934:0.161815:0.141498:0.152556:0.141498:0.000000
3:@0.161735:0.150870:0.166972:0.150870:0.166972:0.141709:0.161735:0.141709:0.000000
1:@0.170882:0.156379:0.186215:0.156379:0.186215:0.142663:0.170882:0.142663:0.000000
a b:@0.198972:0.156934:0.222610:0.156934:0.222610:0.141498:0.198972:0.141498:0.000000:0.000000:0.000000
2:@0.208160:0.150870:0.213397:0.150870:0.213397:0.141709:0.208160:0.141709:0.000000
   3:@0.222536:0.156934:0.254675:0.156934:0.254675:0.141221:0.222536:0.141221:0.000000:0.000000:0.000000:0.000000
1:@0.226494:0.156379:0.241827:0.156379:0.241827:0.142663:0.226494:0.142663:0.000000
ab:@0.254583:0.156934:0.273027:0.156934:0.273027:0.141498:0.254583:0.141498:0.000000:0.000000
2:@0.272972:0.150870:0.278209:0.150870:0.278209:0.141709:0.272972:0.141709:0.000000
    .:@0.278161:0.156934:0.318888:0.156934:0.318888:0.141221:0.278161:0.141221:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.282119:0.156379:0.297452:0.156379:0.297452:0.142663:0.282119:0.142663:0.000000
b:@0.301318:0.156934:0.310576:0.156934:0.310576:0.141498:0.301318:0.141498:0.000000
3:@0.310496:0.150870:0.315733:0.150870:0.315733:0.141709:0.310496:0.141709:0.000000
Con los siguientes valores,     1,4 cm;     2,6 cm, calculen los volúmenes de cada uno :@0.073096:0.184296:0.710606:0.184296:0.710606:0.168583:0.073096:0.168583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.266759:0.184296:0.276018:0.184296:0.276018:0.168860:0.266759:0.168860:0.000000
5:@0.279975:0.183741:0.295308:0.183741:0.295308:0.170025:0.279975:0.170025:0.000000
b:@0.354451:0.184296:0.363710:0.184296:0.363710:0.168860:0.354451:0.168860:0.000000
5:@0.367667:0.183741:0.383001:0.183741:0.383001:0.170025:0.367667:0.170025:0.000000
de los paralelepípedos rectangulares y verifiquen que su suma sea 64 cm .:@0.073096:0.200938:0.609502:0.200939:0.609502:0.185226:0.073096:0.185225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.601110:0.194875:0.606347:0.194875:0.606347:0.185714:0.601110:0.185714:0.000000
Competencia :@0.740294:0.145303:0.848854:0.145303:0.848854:0.128356:0.740294:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.161945:0.837769:0.161945:0.837769:0.144998:0.740294:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los productos notables :@0.749032:0.189629:0.908906:0.189629:0.908906:0.175344:0.749032:0.175344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son muy utilizados en :@0.749032:0.204758:0.898031:0.204758:0.898031:0.190473:0.749032:0.190473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingeniería. Por ejem-:@0.749032:0.219887:0.885997:0.219887:0.885997:0.205602:0.749032:0.205602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plo, para calcular la :@0.749032:0.235015:0.879540:0.235015:0.879540:0.220731:0.749032:0.220731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intensidad en circuitos :@0.749032:0.250144:0.903049:0.250144:0.903049:0.235860:0.749032:0.235860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eléctricos, para calcular :@0.749032:0.265273:0.906915:0.265273:0.906915:0.250989:0.749032:0.250989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la :@0.749032:0.280402:0.763842:0.280402:0.763842:0.266118:0.749032:0.266118:0.000000:0.000000:0.000000
torsión:@0.763842:0.280402:0.812956:0.280402:0.812956:0.265248:0.763842:0.265248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en estructuras :@0.812956:0.280402:0.914863:0.280402:0.914863:0.266118:0.812956:0.266118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o para calcular el núme-:@0.749032:0.295531:0.909761:0.295531:0.909761:0.281247:0.749032:0.281247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ro de individuos en un :@0.749032:0.310660:0.902432:0.310660:0.902432:0.296376:0.749032:0.296376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algoritmo:@0.749032:0.325789:0.817725:0.325789:0.817725:0.310635:0.749032:0.310635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 genético.:@0.817725:0.325789:0.883336:0.325789:0.883336:0.311505:0.817725:0.311505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.749032:0.463902:0.758732:0.463902:0.758732:0.455320:0.749032:0.455320:0.000000
 :@0.758731:0.464466:0.761211:0.464466:0.761211:0.454709:0.758731:0.454709:0.000000
Medición de una placa de circuito  :@0.761211:0.464466:0.919021:0.464466:0.919021:0.454709:0.761211:0.454709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eléctrico:@0.749027:0.474799:0.787944:0.474799:0.787944:0.465042:0.749027:0.465042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga escribe :@0.749032:0.499590:0.865517:0.499590:0.865517:0.484436:0.749032:0.484436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.797410:0.499590:0.812102:0.499590:0.812102:0.485306:0.797410:0.485306:0.000000:0.000000:0.000000
en :@0.865517:0.499590:0.886267:0.499590:0.886267:0.485306:0.865517:0.485306:0.000000:0.000000:0.000000
el cuaderno otras de :@0.749032:0.514719:0.889511:0.514719:0.889511:0.500435:0.749032:0.500435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las aplicaciones de los :@0.749032:0.529848:0.899118:0.529848:0.899118:0.515564:0.749032:0.515564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
productos notables.:@0.749032:0.544977:0.881948:0.544977:0.881948:0.530693:0.749032:0.530693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Algoritmo:@0.744575:0.655827:0.814827:0.654441:0.814300:0.639292:0.744048:0.640678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Conjunto :@0.814730:0.654444:0.887049:0.653017:0.886553:0.638738:0.814234:0.640165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordenado y finito de :@0.745098:0.670952:0.882767:0.668236:0.882271:0.653956:0.744602:0.656673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones que permite :@0.745623:0.686076:0.915920:0.682716:0.915423:0.668437:0.745127:0.671797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hallar la solución de un :@0.746149:0.701200:0.901705:0.698130:0.901208:0.683851:0.745653:0.686920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema.:@0.746675:0.716324:0.814116:0.714993:0.813620:0.700714:0.746179:0.702044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Torsión:@0.747201:0.731447:0.797583:0.730453:0.797056:0.715304:0.746674:0.716298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Acción y efecto :@0.797486:0.730455:0.909186:0.728251:0.908690:0.713972:0.796989:0.716176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de torcer o torcerse algo :@0.747726:0.746571:0.912476:0.743321:0.911979:0.729041:0.747230:0.732292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en forma helicoidal.:@0.748252:0.761695:0.877691:0.759141:0.877195:0.744862:0.747756:0.747416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.796760:0.625602:0.856380:0.625602:0.856380:0.610196:0.796760:0.610196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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