242:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Geometría:@0.073089:0.043661:0.168070:0.043661:0.168070:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 7. Teorema de pitágoras:@0.073089:0.098522:0.515228:0.098522:0.515228:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un triángulo rectángulo, uno de los lados más cortos mide 3 cm y el otro lado más :@0.302768:0.161887:0.920024:0.161887:0.920024:0.146175:0.302768:0.146175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corto mide 4 cm. ¿Cuánto mide la hipotenusa? :@0.302768:0.178529:0.645348:0.178529:0.645348:0.162816:0.302768:0.162816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 7 (Ev. 1) Describe teoremas y argumenta su validez a través de diferentes recursos (:@0.256073:0.960115:0.716095:0.960115:0.716095:0.948687:0.256073:0.948687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
software:@0.715651:0.960115:0.759342:0.960115:0.759342:0.948183:0.715651:0.948183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, tangram, papel, entre otros).:@0.759307:0.960115:0.913145:0.960115:0.913145:0.948687:0.759307:0.948687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 7 (Ev. 2) Argumenta la relación pitagórica por medio de construcción al utilizar material concreto.:@0.256073:0.970826:0.791392:0.970826:0.791392:0.959398:0.256073:0.959398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 7 (Ev. 5) Resuelve problemas utilizando teoremas básicos.:@0.256073:0.981537:0.582328:0.981537:0.582328:0.970110:0.256073:0.970110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078672:0.252307:0.245046:0.252307:0.245046:0.235360:0.078672:0.235360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078672:0.268948:0.169457:0.268948:0.169457:0.253236:0.078672:0.253236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e historia:@0.078672:0.285590:0.144668:0.285590:0.144668:0.269878:0.078672:0.269878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un triángulo rectángulo se forma por dos lados perpendiculares llamados catetos y :@0.306493:0.273891:0.916710:0.273891:0.916710:0.258178:0.306493:0.258178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un lado que los une que se llama hipotenusa. :@0.303147:0.290532:0.636071:0.290532:0.636071:0.274820:0.303147:0.274820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema de pitágoras: :@0.303147:0.307174:0.474251:0.307174:0.474251:0.290505:0.303147:0.290505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en todo triángulo rectángulo, el cuadrado de la hipotenusa es :@0.473800:0.307174:0.921349:0.307174:0.921349:0.291462:0.473800:0.291462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a la suma de los cuadrados de los catetos.:@0.303147:0.323816:0.644653:0.323816:0.644653:0.308103:0.303147:0.308103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.416154:0.399582:0.424511:0.399582:0.424511:0.383869:0.416154:0.383869:0.000000
a:@0.539059:0.452142:0.547416:0.452142:0.547416:0.436430:0.539059:0.436430:0.000000
a:@0.475867:0.545586:0.484224:0.545586:0.484224:0.529873:0.475867:0.529873:0.000000
a:@0.346556:0.500237:0.354913:0.500237:0.354913:0.484524:0.346556:0.484524:0.000000
b:@0.507251:0.399582:0.517412:0.399582:0.517412:0.383869:0.507251:0.383869:0.000000
b:@0.537255:0.517503:0.547416:0.517503:0.547416:0.501790:0.537255:0.501790:0.000000
b:@0.379100:0.545586:0.389261:0.545586:0.389261:0.529873:0.379100:0.529873:0.000000
b:@0.346556:0.423241:0.356717:0.423241:0.356717:0.407528:0.346556:0.407528:0.000000
c:@0.465301:0.507643:0.473511:0.507643:0.473511:0.491930:0.465301:0.491930:0.000000
c:@0.388506:0.480669:0.396716:0.480669:0.396716:0.464956:0.388506:0.464956:0.000000
c:@0.423277:0.430355:0.431487:0.430355:0.431487:0.414643:0.423277:0.414643:0.000000
c:@0.497495:0.455346:0.505705:0.455346:0.505705:0.439633:0.497495:0.439633:0.000000
B:@0.363159:0.397474:0.372455:0.397474:0.372455:0.381761:0.363159:0.381761:0.000000
G:@0.482254:0.397474:0.493740:0.397474:0.493740:0.381761:0.482254:0.381761:0.000000
C:@0.536556:0.397474:0.547048:0.397474:0.547048:0.381761:0.536556:0.381761:0.000000
H:@0.536556:0.495508:0.548152:0.495508:0.548152:0.479795:0.536556:0.479795:0.000000
D:@0.536556:0.544865:0.548465:0.544865:0.548465:0.529152:0.536556:0.529152:0.000000
F:@0.410171:0.525630:0.418675:0.525630:0.418675:0.509917:0.410171:0.509917:0.000000
A:@0.364908:0.528417:0.375676:0.528417:0.375676:0.512705:0.364908:0.512705:0.000000
E:@0.364669:0.432047:0.373246:0.432047:0.373246:0.416335:0.364669:0.416335:0.000000
Luego, el área del cuadrado mayor es::@0.298403:0.602634:0.571218:0.602634:0.571218:0.586921:0.298403:0.586921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( + ) = (:@0.379560:0.628082:0.460736:0.628078:0.460736:0.610424:0.379560:0.610428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.385598:0.627499:0.419283:0.627499:0.419283:0.611093:0.385598:0.611093:0.000000:0.000000:0.000000
2:@0.425265:0.621432:0.430502:0.621432:0.430502:0.612271:0.425265:0.612271:0.000000
4:@0.445697:0.627495:0.454680:0.627495:0.454680:0.611783:0.445697:0.611783:0.000000
ab:@0.466061:0.618728:0.483832:0.618728:0.483832:0.603814:0.466061:0.603814:0.000000:0.000000
2:@0.470863:0.635131:0.479030:0.635131:0.479030:0.620846:0.470863:0.620846:0.000000
)+:@0.490275:0.628078:0.511646:0.628078:0.511646:0.610424:0.490275:0.610424:0.000000:0.000000
c:@0.511553:0.627495:0.519211:0.627495:0.519211:0.611089:0.511553:0.611089:0.000000
2:@0.519144:0.621432:0.524381:0.621432:0.524381:0.612271:0.519144:0.612271:0.000000
Elevando al cuadrado el binomio del lado :@0.298403:0.652356:0.609435:0.652356:0.609435:0.636643:0.298403:0.636643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
izquierdo, obtenemos.:@0.298403:0.668998:0.460464:0.668998:0.460464:0.653285:0.298403:0.653285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.365589:0.693864:0.374848:0.693864:0.374848:0.677458:0.365589:0.677458:0.000000
2:@0.375880:0.687796:0.381117:0.687796:0.381117:0.678635:0.375880:0.678635:0.000000
+:@0.381714:0.694442:0.397047:0.694442:0.397047:0.676788:0.381714:0.676788:0.000000
2:@0.398059:0.693860:0.407042:0.693860:0.407042:0.678147:0.398059:0.678147:0.000000
ab b:@0.408073:0.693860:0.454275:0.693860:0.454275:0.677454:0.408073:0.677454:0.000000:0.000000:0.000000:0.000000
+ =:@0.428671:0.694442:0.476471:0.694442:0.476471:0.676788:0.428671:0.676788:0.000000:0.000000:0.000000
2:@0.455303:0.687796:0.460539:0.687796:0.460539:0.678635:0.455303:0.678635:0.000000
2:@0.477483:0.693860:0.486466:0.693860:0.486466:0.678147:0.477483:0.678147:0.000000
ab c:@0.487497:0.693860:0.532098:0.693860:0.532098:0.677454:0.487497:0.677454:0.000000:0.000000:0.000000:0.000000
+:@0.508095:0.694442:0.523428:0.694442:0.523428:0.676788:0.508095:0.676788:0.000000
2:@0.533125:0.687796:0.538362:0.687796:0.538362:0.678635:0.533125:0.678635:0.000000
Sea un cuadrado de lado :@0.615029:0.394974:0.799996:0.394974:0.799996:0.379261:0.615029:0.379261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.799764:0.394974:0.833449:0.394974:0.833449:0.378568:0.799764:0.378568:0.000000:0.000000:0.000000
+:@0.808949:0.395556:0.824283:0.395556:0.824283:0.377902:0.808949:0.377902:0.000000
.:@0.833376:0.394974:0.836579:0.394974:0.836579:0.379261:0.833376:0.379261:0.000000
En la figura, vemos que se divide el :@0.615011:0.419839:0.926202:0.419839:0.926202:0.404127:0.615011:0.404127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado en cinco partes: cuatro triángulos :@0.615011:0.436481:0.926139:0.436481:0.926139:0.420769:0.615011:0.420769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulos, cuyos catetos miden   y   y :@0.615011:0.453123:0.926194:0.453123:0.926194:0.437410:0.615011:0.437410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b,:@0.869749:0.453123:0.909177:0.453123:0.909177:0.436717:0.869749:0.436717:0.000000:0.000000:0.000000:0.000000
cuya hipotenusa es  .:@0.615029:0.469765:0.769650:0.469765:0.769650:0.454052:0.615029:0.454052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.758863:0.469765:0.766521:0.469765:0.766521:0.453359:0.758863:0.453359:0.000000
El área del cuadrado es igual a la suma de :@0.615029:0.494631:0.926410:0.494631:0.926410:0.478918:0.615029:0.478918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las áreas de los cuatro triángulos más el :@0.615029:0.511272:0.926244:0.511272:0.926244:0.495560:0.615029:0.495560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado de lado  .:@0.615029:0.527914:0.757501:0.527914:0.757501:0.512202:0.615029:0.512202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.746715:0.527914:0.754372:0.527914:0.754372:0.511508:0.746715:0.511508:0.000000
El área de cada triángulo es :@0.615029:0.552780:0.816960:0.552780:0.816960:0.537067:0.615029:0.537067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.822122:0.544001:0.839894:0.544001:0.839894:0.529087:0.822122:0.529087:0.000000:0.000000
2:@0.826925:0.560404:0.835091:0.560404:0.835091:0.546119:0.826925:0.546119:0.000000
.:@0.846336:0.552769:0.849539:0.552769:0.849539:0.537056:0.846336:0.537056:0.000000
Eliminando 2:@0.615031:0.602486:0.721333:0.602486:0.721333:0.586773:0.615031:0.586773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.722363:0.602486:0.741875:0.602486:0.741875:0.586080:0.722363:0.586080:0.000000:0.000000
 de los dos lados de la :@0.742869:0.602486:0.926076:0.602486:0.926076:0.586773:0.742869:0.586773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación, obtenemos::@0.615031:0.619128:0.797018:0.619128:0.797018:0.603415:0.615031:0.603415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.729156:0.643994:0.738415:0.643994:0.738415:0.627588:0.729156:0.627588:0.000000
2:@0.739452:0.637931:0.744689:0.637931:0.744689:0.628770:0.739452:0.628770:0.000000
+ =:@0.745287:0.644577:0.793096:0.644577:0.793096:0.626923:0.745287:0.626923:0.000000:0.000000:0.000000
b:@0.761633:0.643995:0.770892:0.643995:0.770892:0.627589:0.761633:0.627589:0.000000
2:@0.771929:0.637931:0.777166:0.637931:0.777166:0.628770:0.771929:0.628770:0.000000
c:@0.794108:0.643995:0.801766:0.643995:0.801766:0.627589:0.794108:0.627589:0.000000
2:@0.802805:0.637931:0.808042:0.637931:0.808042:0.628770:0.802805:0.628770:0.000000
Es decir que el cuadrado de la :@0.615029:0.668855:0.926314:0.668855:0.926314:0.653143:0.615029:0.653143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa es igual a la suma de los :@0.615029:0.685497:0.926257:0.685497:0.926257:0.669785:0.615029:0.669785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrados de los catetos. :@0.615029:0.702139:0.828496:0.702139:0.828496:0.686426:0.615029:0.686426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pitágoras, filósofo y :@0.079530:0.316408:0.208862:0.316408:0.208862:0.302124:0.079530:0.302124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemático griego nacido :@0.079530:0.331537:0.258963:0.331537:0.258963:0.317253:0.079530:0.317253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en Samos alrededor del :@0.079530:0.346666:0.239013:0.346666:0.239013:0.332382:0.079530:0.332382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
año 570 a.C. y fallecido en :@0.079530:0.361795:0.253311:0.361795:0.253311:0.347510:0.079530:0.347510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Metaponto en el año 490 :@0.079530:0.376924:0.250202:0.376924:0.250202:0.362639:0.079530:0.362639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.C., hizo contribuciones:@0.079530:0.392053:0.239458:0.392053:0.239458:0.377768:0.079530:0.377768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamentales a la:@0.079530:0.407182:0.204866:0.407182:0.204866:0.392897:0.079530:0.392897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática, la geometría:@0.079530:0.422310:0.248143:0.422310:0.248143:0.408026:0.079530:0.408026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la aritmética. Sus:@0.079530:0.437439:0.200425:0.437439:0.200425:0.423155:0.079530:0.423155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estudios se centraron en:@0.079530:0.452568:0.241456:0.452568:0.241456:0.438284:0.079530:0.438284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las relaciones numéricas:@0.079530:0.467697:0.239427:0.467697:0.239427:0.453413:0.079530:0.453413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y su aplicación en áreas:@0.079530:0.482826:0.234296:0.482826:0.234296:0.468542:0.079530:0.468542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como la teoría de pesos y:@0.079530:0.497955:0.247909:0.497955:0.247909:0.483671:0.079530:0.483671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medidas, la teoría musical:@0.079530:0.513084:0.249241:0.513084:0.249241:0.498800:0.079530:0.498800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la astronomía. Fundó la:@0.079530:0.528213:0.243408:0.528213:0.243408:0.513929:0.079530:0.513929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escuela Pitagórica, una:@0.079530:0.543342:0.229318:0.543342:0.229318:0.529058:0.079530:0.529058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sociedad que, además:@0.079530:0.558471:0.226781:0.558471:0.226781:0.544187:0.079530:0.544187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de su carácter religioso,:@0.079530:0.573600:0.233632:0.573600:0.233632:0.559316:0.079530:0.559316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abordaba temas como:@0.079530:0.588729:0.229370:0.588729:0.229370:0.574445:0.079530:0.574445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medicina, cosmología,:@0.079530:0.603858:0.227350:0.603858:0.227350:0.589574:0.079530:0.589574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
filosofía, ética y política. Los:@0.079530:0.618987:0.259094:0.618987:0.259094:0.604702:0.079530:0.604702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
principios del pitagorismo:@0.079530:0.634116:0.252444:0.634116:0.252444:0.619831:0.079530:0.619831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
influyeron notablemente:@0.079530:0.649245:0.244490:0.649245:0.244490:0.634960:0.079530:0.634960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en pensadores como:@0.079530:0.664374:0.219050:0.664374:0.219050:0.650089:0.079530:0.650089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Platón y Aristóteles y:@0.079530:0.679502:0.215812:0.679502:0.215812:0.665218:0.079530:0.665218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
jugaron un papel crucial:@0.079530:0.694631:0.239751:0.694631:0.239751:0.680347:0.079530:0.680347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el desarrollo posterior:@0.079530:0.709760:0.243294:0.709760:0.243294:0.695476:0.079530:0.695476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la matemática y la:@0.079530:0.724889:0.219234:0.724889:0.219234:0.710605:0.079530:0.710605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
filosofía racional en:@0.079530:0.740018:0.206071:0.740018:0.206071:0.725734:0.079530:0.725734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Occidente.:@0.079530:0.755147:0.150779:0.755147:0.150779:0.740863:0.079530:0.740863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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