﻿191:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo :@0.115354:0.105227:0.184025:0.105227:0.184025:0.087077:0.115354:0.087077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcula el área sombreada de color azul de la figura.:@0.115354:0.137590:0.528004:0.137590:0.528004:0.119711:0.115354:0.119711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.115354:0.169953:0.184930:0.169953:0.184930:0.151803:0.115354:0.151803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para determinar el área sombreada, primero definimos las áreas por calcular.:@0.115354:0.195180:0.713630:0.195180:0.713630:0.177301:0.115354:0.177301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8 cm:@0.754321:0.141191:0.773392:0.141191:0.773392:0.133125:0.754321:0.133125:0.000000:0.000000:0.000000:0.000000
A1:@0.818422:0.292381:0.832788:0.292381:0.832788:0.281542:0.818422:0.281542:0.000000:0.000000
A2:@0.818422:0.233278:0.832788:0.233278:0.832788:0.222439:0.818422:0.222439:0.000000:0.000000
A3:@0.882449:0.260515:0.896814:0.260515:0.896814:0.249676:0.882449:0.249676:0.000000:0.000000
8 cm:@0.755594:0.260890:0.774705:0.260890:0.774705:0.252807:0.755594:0.252807:0.000000:0.000000:0.000000:0.000000
8 cm:@0.749793:0.767853:0.773929:0.767853:0.773929:0.757645:0.749793:0.757645:0.000000:0.000000:0.000000:0.000000
8 cm:@0.750326:0.889179:0.774774:0.889179:0.774774:0.878839:0.750326:0.878839:0.000000:0.000000:0.000000:0.000000
Área 2:@0.138676:0.409632:0.193858:0.409632:0.193858:0.391195:0.138676:0.391195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Está formada por la mitad de un :@0.138676:0.434859:0.399267:0.434859:0.399267:0.416980:0.138676:0.416980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo.:@0.138676:0.452964:0.214763:0.452964:0.214763:0.435085:0.138676:0.435085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Base = 8 cm  Altura = 4 cm:@0.138676:0.478191:0.367687:0.478191:0.367687:0.460312:0.138676:0.460312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La fórmula para calcular será::@0.138676:0.503417:0.369075:0.503417:0.369075:0.485538:0.138676:0.485538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.142857:0.538813:0.153652:0.538813:0.153652:0.522020:0.142857:0.522020:0.000000
2:@0.153230:0.538813:0.163040:0.538813:0.163040:0.521718:0.153230:0.521718:0.000000
=:@0.166116:0.539552:0.177152:0.539552:0.177152:0.522563:0.166116:0.522563:0.000000
b h:@0.192612:0.529111:0.229983:0.529123:0.229983:0.512330:0.192612:0.512319:0.000000:0.000000:0.000000
2:@0.206322:0.550215:0.216132:0.550215:0.216132:0.533121:0.206322:0.533121:0.000000
÷:@0.244425:0.539567:0.255461:0.539567:0.255461:0.522578:0.244425:0.522578:0.000000
2:@0.258135:0.538828:0.267945:0.538828:0.267945:0.521733:0.258135:0.521733:0.000000
A:@0.142865:0.582597:0.153661:0.582597:0.153661:0.565804:0.142865:0.565804:0.000000
2:@0.153238:0.582597:0.163049:0.582597:0.163049:0.565503:0.153238:0.565503:0.000000
=:@0.166124:0.583336:0.177161:0.583336:0.177161:0.566347:0.166124:0.566347:0.000000
8 4:@0.192620:0.572895:0.229420:0.572893:0.229420:0.555799:0.192620:0.555801:0.000000:0.000000:0.000000
2:@0.206523:0.593985:0.216333:0.593985:0.216333:0.576891:0.206523:0.576891:0.000000
÷ =:@0.244844:0.583336:0.282476:0.583336:0.282476:0.566347:0.244844:0.566347:0.000000:0.000000:0.000000
2 8:@0.258554:0.582597:0.295805:0.582597:0.295805:0.565503:0.258554:0.565503:0.000000:0.000000:0.000000
cm2:@0.299504:0.582733:0.330683:0.582733:0.330683:0.564854:0.299504:0.564854:0.000000:0.000000:0.000000
Área3 :@0.433107:0.409632:0.488290:0.409632:0.488290:0.391195:0.433107:0.391195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Está formada por un rectángulo :@0.433107:0.434859:0.691204:0.434859:0.691204:0.416980:0.433107:0.416980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menos las áreas 1 y 2.:@0.433107:0.452964:0.604362:0.452964:0.604362:0.435085:0.433107:0.435085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Base = 8 cm  Altura = 4 cm:@0.433107:0.478191:0.662119:0.478191:0.662119:0.460312:0.433107:0.460312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La fórmula para calcular será::@0.433107:0.503417:0.663506:0.503417:0.663506:0.485538:0.433107:0.485538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.437289:0.536414:0.448084:0.536414:0.448084:0.519621:0.437289:0.519621:0.000000
3:@0.447662:0.536414:0.457472:0.536414:0.457472:0.519319:0.447662:0.519319:0.000000
=:@0.460126:0.537153:0.471162:0.537153:0.471162:0.520164:0.460126:0.520164:0.000000
b h:@0.481696:0.536414:0.519064:0.536427:0.519064:0.519635:0.481696:0.519621:0.000000:0.000000:0.000000
(:@0.474243:0.539149:0.480937:0.539149:0.480937:0.517064:0.474243:0.517064:0.000000
):@0.519474:0.539149:0.526169:0.539149:0.526169:0.517064:0.519474:0.517064:0.000000
( 1:@0.541462:0.536427:0.568239:0.536427:0.568239:0.519333:0.541462:0.519333:0.000000:0.000000:0.000000
A:@0.549322:0.536427:0.560117:0.536427:0.560117:0.519635:0.549322:0.519635:0.000000
+:@0.567535:0.537167:0.578572:0.537167:0.578572:0.520178:0.567535:0.520178:0.000000
A:@0.582934:0.536427:0.593729:0.536427:0.593729:0.519635:0.582934:0.519635:0.000000
2):@0.593307:0.536427:0.609007:0.536427:0.609007:0.519333:0.593307:0.519333:0.000000:0.000000
A:@0.437309:0.560945:0.448104:0.560945:0.448104:0.544152:0.437309:0.544152:0.000000
3:@0.447682:0.560945:0.457492:0.560945:0.457492:0.543851:0.447682:0.543851:0.000000
=:@0.460146:0.561684:0.471182:0.561684:0.471182:0.544695:0.460146:0.544695:0.000000
8 4:@0.481716:0.560945:0.518501:0.560945:0.518501:0.543851:0.481716:0.543851:0.000000:0.000000:0.000000
(:@0.474243:0.563666:0.480937:0.563666:0.480937:0.541581:0.474243:0.541581:0.000000
):@0.519896:0.563666:0.526591:0.563666:0.526591:0.541581:0.519896:0.541581:0.000000
(12,56 8):@0.541881:0.560945:0.623056:0.560945:0.623056:0.543851:0.541881:0.543851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.593243:0.561684:0.604280:0.561684:0.604280:0.544695:0.593243:0.544695:0.000000
A:@0.437285:0.586171:0.448081:0.586171:0.448081:0.569379:0.437285:0.569379:0.000000
3 32 20,56 11,44 cm:@0.447658:0.586171:0.646007:0.586169:0.646007:0.569075:0.447658:0.569077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.460120:0.586908:0.471157:0.586908:0.471157:0.569919:0.460120:0.569919:0.000000
=:@0.557735:0.586908:0.568772:0.586908:0.568772:0.569919:0.557735:0.569919:0.000000
2:@0.646164:0.577820:0.651836:0.577820:0.651836:0.567937:0.646164:0.567937:0.000000
Finalmente, se suman las áreas obtenidas.:@0.115354:0.637155:0.447870:0.637155:0.447870:0.619276:0.115354:0.619276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A1 + A2 + A3 = :@0.115354:0.662381:0.242424:0.662381:0.242424:0.644503:0.115354:0.644503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área sombreada:@0.242424:0.662381:0.384811:0.662381:0.384811:0.643944:0.242424:0.643944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área sombreada = 12,56 + 8 + 11,44 = 32 cm2:@0.115354:0.687608:0.480139:0.687608:0.480139:0.669729:0.115354:0.669729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Otra forma de resolver:@0.115354:0.725370:0.326491:0.725370:0.326491:0.705396:0.115354:0.705396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Otra forma de resolver es analizar la figura y reemplazar los espacios :@0.115354:0.757416:0.660759:0.757416:0.660759:0.739537:0.115354:0.739537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sombreados en los espacios de las áreas vacías.:@0.115354:0.775521:0.491513:0.775521:0.491513:0.757642:0.115354:0.757642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Finalmente, se obtiene la mitad del cuadrado y su área es::@0.115354:0.800747:0.575420:0.800747:0.575420:0.782869:0.115354:0.782869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.133467:0.836392:0.144504:0.836392:0.144504:0.819403:0.133467:0.819403:0.000000
×:@0.157651:0.826645:0.168687:0.826645:0.168687:0.809657:0.157651:0.809657:0.000000
=:@0.133467:0.876389:0.144504:0.876389:0.144504:0.859400:0.133467:0.859400:0.000000
×:@0.162255:0.866642:0.173291:0.866642:0.173291:0.849654:0.162255:0.849654:0.000000
=:@0.191042:0.876389:0.202078:0.876389:0.202078:0.859400:0.191042:0.859400:0.000000
=:@0.232916:0.876389:0.243953:0.876389:0.243953:0.859400:0.232916:0.859400:0.000000
A:@0.119536:0.835653:0.130331:0.835653:0.130331:0.817804:0.119536:0.817804:0.000000
ll:@0.149801:0.825910:0.175512:0.825910:0.175512:0.808061:0.149801:0.808061:0.000000:0.000000
A:@0.119542:0.875651:0.130337:0.875651:0.130337:0.857802:0.119542:0.857802:0.000000
2:@0.158481:0.847045:0.168292:0.847045:0.168292:0.829166:0.158481:0.829166:0.000000
88:@0.149797:0.865904:0.185781:0.865904:0.185781:0.848026:0.149797:0.848026:0.000000:0.000000
2:@0.163099:0.887046:0.172909:0.887046:0.172909:0.869167:0.163099:0.869167:0.000000
64:@0.207806:0.865907:0.227245:0.865907:0.227245:0.848028:0.207806:0.848028:0.000000:0.000000
2:@0.212832:0.887046:0.222642:0.887046:0.222642:0.869167:0.212832:0.869167:0.000000
32 cm:@0.247698:0.875651:0.299604:0.875651:0.299604:0.857772:0.247698:0.857772:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.299735:0.867302:0.305406:0.867302:0.305406:0.856966:0.299735:0.856966:0.000000
Área 1:@0.137910:0.241550:0.193092:0.241550:0.193092:0.223113:0.137910:0.223113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Está formada por la cuarta parte de un círculo.:@0.137910:0.273913:0.505646:0.273913:0.505646:0.256034:0.137910:0.256034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Radio  = 4 cm. La fórmula para calcular es::@0.137910:0.299140:0.471374:0.299140:0.471374:0.281261:0.137910:0.281261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.161363:0.343561:0.172400:0.343561:0.172400:0.326573:0.161363:0.326573:0.000000
π×:@0.178531:0.333815:0.203278:0.333815:0.203278:0.316826:0.178531:0.316826:0.000000:0.000000
=:@0.270361:0.343561:0.281398:0.343561:0.281398:0.326573:0.270361:0.326573:0.000000
×:@0.322709:0.333815:0.333745:0.333815:0.333745:0.316826:0.322709:0.316826:0.000000
=:@0.359879:0.343561:0.370916:0.343561:0.370916:0.326573:0.359879:0.326573:0.000000
A:@0.142105:0.342822:0.152900:0.342822:0.152900:0.324973:0.142105:0.324973:0.000000
r:@0.206394:0.333075:0.212163:0.333075:0.212163:0.315227:0.206394:0.315227:0.000000
A:@0.251103:0.342822:0.261898:0.342822:0.261898:0.324973:0.251103:0.324973:0.000000
1:@0.151211:0.342822:0.161022:0.342822:0.161022:0.324943:0.151211:0.324943:0.000000
4:@0.194659:0.354216:0.204469:0.354216:0.204469:0.336337:0.194659:0.336337:0.000000
1:@0.260202:0.342822:0.270013:0.342822:0.270013:0.324943:0.260202:0.324943:0.000000
3,14 16:@0.286698:0.333075:0.354626:0.333075:0.354626:0.315197:0.286698:0.315197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.315958:0.354216:0.325768:0.354216:0.325768:0.336337:0.315958:0.336337:0.000000
12,56  cm2:@0.373387:0.342822:0.456608:0.341565:0.456608:0.323686:0.373387:0.324943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.213768:0.324729:0.219440:0.324729:0.219440:0.314392:0.213768:0.314392:0.000000
©Shutterstock:@0.940991:0.598424:0.940991:0.555598:0.929080:0.555598:0.929080:0.598424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.749840:0.363413:0.905391:0.363413:0.905391:0.346512:0.749840:0.346512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática :@0.753818:0.392917:0.847309:0.392917:0.847309:0.376784:0.753818:0.376784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mecánica:@0.753818:0.408006:0.838479:0.408006:0.838479:0.391874:0.753818:0.391874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para medir diámetros :@0.753818:0.426660:0.906729:0.426660:0.906729:0.411016:0.753818:0.411016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
externos e internos de :@0.753818:0.441750:0.914306:0.441750:0.914306:0.426106:0.753818:0.426106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
monedas, aros, anillos, :@0.753818:0.456839:0.913184:0.456839:0.913184:0.441195:0.753818:0.441195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tuercas, tubos y más, se :@0.753818:0.471929:0.921698:0.471929:0.921698:0.456285:0.753818:0.456285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emplea un instrumento :@0.753818:0.487018:0.923720:0.487018:0.923720:0.471374:0.753818:0.471374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llamado calibrador, :@0.753818:0.502108:0.890792:0.502108:0.890792:0.486464:0.753818:0.486464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vernier o pie de rey. :@0.753818:0.517197:0.894750:0.517197:0.894750:0.501553:0.753818:0.501553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Medición del diámetro :@0.753941:0.655122:0.909418:0.655122:0.909418:0.640223:0.753941:0.640223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una pieza metálica :@0.753941:0.670209:0.903322:0.670209:0.903322:0.655310:0.753941:0.655310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con un vernier.:@0.753941:0.685297:0.852862:0.685297:0.852862:0.670398:0.753941:0.670398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000