219:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial:@0.721207:0.043660:0.914624:0.043660:0.914624:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 4. Ángulos formados por dos rectas paralelas cortadas por una secante:@0.073089:0.094006:0.922944:0.094006:0.922944:0.070575:0.073089:0.070575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dadas dos rectas paralelas cortadas por una secante, si uno de los ángulos formados :@0.302768:0.161887:0.919971:0.161887:0.919971:0.146175:0.302768:0.146175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es de 90°, ¿cuál es el valor del ángulo que está en la misma posición en la otra recta :@0.302768:0.178529:0.919183:0.178529:0.919183:0.162816:0.302768:0.162816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paralela?:@0.302768:0.195171:0.366586:0.195171:0.366586:0.179458:0.302768:0.179458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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
Dos rectas diferentes y coplanares son paralelas si no tienen puntos comunes.:@0.073089:0.241071:0.636250:0.241071:0.636250:0.225358:0.073089:0.225358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica 4.1 rectas paralelas:@0.289816:0.264855:0.489719:0.264855:0.489719:0.248185:0.289816:0.248185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.455708:0.345283:0.466124:0.345283:0.466124:0.328694:0.455708:0.328694:0.000000
m:@0.330494:0.325707:0.346410:0.325707:0.346410:0.309118:0.330494:0.309118:0.000000
Ángulos formados por dos rectas cortadas por una :@0.093136:0.419259:0.480001:0.419259:0.480001:0.402590:0.093136:0.402590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
secante: :@0.097517:0.435901:0.163610:0.435901:0.163610:0.419232:0.097517:0.419232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las rectas   y   son cortadas por la recta  , :@0.163507:0.435901:0.475584:0.435901:0.475584:0.420189:0.163507:0.420189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.233289:0.435901:0.273251:0.435901:0.273251:0.419495:0.233289:0.419495:0.000000:0.000000:0.000000
p:@0.459164:0.435901:0.468423:0.435901:0.468423:0.419495:0.459164:0.419495:0.000000
formando ocho ángulos.:@0.195223:0.452543:0.373955:0.452543:0.373955:0.436830:0.195223:0.436830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica 4.2 rectas cortadas :@0.500213:0.500444:0.705560:0.500444:0.705560:0.483774:0.500213:0.483774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por un secante:@0.544574:0.517086:0.657348:0.517086:0.657348:0.500416:0.544574:0.500416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.593742:0.660112:0.603338:0.660112:0.603338:0.643326:0.593742:0.643326:0.000000
3:@0.616946:0.664497:0.626542:0.664497:0.626542:0.647712:0.616946:0.647712:0.000000
5:@0.586800:0.735062:0.596397:0.735062:0.596397:0.718276:0.586800:0.718276:0.000000
6:@0.620288:0.729506:0.629885:0.729506:0.629885:0.712720:0.620288:0.712720:0.000000
1:@0.592011:0.620570:0.601607:0.620570:0.601607:0.603785:0.592011:0.603785:0.000000
2:@0.624005:0.629208:0.633601:0.629208:0.633601:0.612422:0.624005:0.612422:0.000000
8:@0.590792:0.774292:0.600388:0.774292:0.600388:0.757507:0.590792:0.757507:0.000000
7:@0.622235:0.766899:0.631831:0.766899:0.631831:0.750114:0.622235:0.750114:0.000000
m:@0.686262:0.676260:0.702367:0.676260:0.702367:0.659475:0.686262:0.659475:0.000000
p:@0.613957:0.593888:0.624811:0.593888:0.624811:0.577103:0.613957:0.577103:0.000000
n:@0.692023:0.725417:0.702563:0.725417:0.702563:0.708631:0.692023:0.708631:0.000000
Cuatro ángulos interiores :@0.087892:0.470091:0.274396:0.470091:0.274396:0.454379:0.087892:0.454379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre las rectas   y  .:@0.101531:0.486733:0.256594:0.486733:0.256594:0.471021:0.101531:0.471021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.213503:0.486733:0.253465:0.486733:0.253465:0.470327:0.213503:0.470327:0.000000:0.000000:0.000000
∡ ∡ ∡ ∡:@0.336997:0.480590:0.434114:0.480590:0.434114:0.462935:0.336997:0.462935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3, 4, 5, 6:@0.352238:0.480007:0.443004:0.480007:0.443004:0.464295:0.352238:0.464295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuatro ángulos exteriores :@0.086217:0.504277:0.276063:0.504277:0.276063:0.488564:0.086217:0.488564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en las dos regiones que no :@0.081872:0.520918:0.280454:0.520918:0.280454:0.505206:0.081872:0.505206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
están entre las rectas   y  .:@0.079903:0.537560:0.278204:0.537560:0.278204:0.521848:0.079903:0.521848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.235113:0.537560:0.275075:0.537560:0.275075:0.521154:0.235113:0.521154:0.000000:0.000000:0.000000
∡ ∡ ∡ ∡:@0.336979:0.523096:0.434095:0.523096:0.434095:0.505442:0.336979:0.505442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1, 2, 7, 8:@0.352220:0.522513:0.442986:0.522513:0.442986:0.506801:0.352220:0.506801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuatro ángulos alternos :@0.092585:0.555104:0.269654:0.555104:0.269654:0.539391:0.092585:0.539391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
internos entre las rectas  :@0.093193:0.571745:0.272958:0.571745:0.272958:0.556033:0.093193:0.556033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.157489:0.588387:0.197452:0.588387:0.197452:0.571981:0.157489:0.571981:0.000000:0.000000:0.000000
 y  .:@0.172031:0.588387:0.200581:0.588387:0.200581:0.572675:0.172031:0.572675:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.357834:0.565602:0.373167:0.565602:0.373167:0.547948:0.357834:0.547948:0.000000
4 y  6 :@0.373075:0.565019:0.426143:0.565019:0.426143:0.549307:0.373075:0.549307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397888:0.565602:0.413221:0.565602:0.413221:0.547948:0.397888:0.547948:0.000000
∡:@0.357834:0.582244:0.373167:0.582244:0.373167:0.564589:0.357834:0.564589:0.000000
3 y  5:@0.373075:0.581661:0.422112:0.581661:0.422112:0.565948:0.373075:0.565948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397888:0.582244:0.413221:0.582244:0.413221:0.564589:0.397888:0.564589:0.000000
Cuatro ángulos alternos :@0.092567:0.605930:0.269636:0.605930:0.269636:0.590218:0.092567:0.590218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
externos en las dos :@0.109575:0.622572:0.252598:0.622572:0.252598:0.606860:0.109575:0.606860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
regiones que no están :@0.098089:0.639214:0.264090:0.639214:0.264090:0.623501:0.098089:0.623501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre las rectas   y  .:@0.101476:0.655856:0.256539:0.655856:0.256539:0.640143:0.101476:0.640143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.213448:0.655856:0.253410:0.655856:0.253410:0.639450:0.213448:0.639450:0.000000:0.000000:0.000000
∡:@0.357797:0.624750:0.373130:0.624750:0.373130:0.607095:0.357797:0.607095:0.000000
1 y  7:@0.373038:0.624167:0.422075:0.624167:0.422075:0.608454:0.373038:0.608454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397851:0.624750:0.413185:0.624750:0.413185:0.607095:0.397851:0.607095:0.000000
∡:@0.357797:0.641391:0.373130:0.641391:0.373130:0.623737:0.357797:0.623737:0.000000
2 y  8:@0.373038:0.640809:0.422075:0.640809:0.422075:0.625096:0.373038:0.625096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397851:0.641391:0.413185:0.641391:0.413185:0.623737:0.397851:0.623737:0.000000
Ocho pares de ángulos :@0.095052:0.683315:0.267072:0.683315:0.267072:0.667602:0.095052:0.667602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correspondientes entre las :@0.082866:0.699957:0.279283:0.699957:0.279283:0.684244:0.082866:0.684244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tres rectas.:@0.140812:0.716599:0.217192:0.716599:0.217192:0.700886:0.140812:0.700886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.357779:0.677171:0.373112:0.677171:0.373112:0.659517:0.357779:0.659517:0.000000
1 y  5:@0.373020:0.676589:0.422057:0.676589:0.422057:0.660876:0.373020:0.660876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397833:0.677171:0.413166:0.677171:0.413166:0.659517:0.397833:0.659517:0.000000
∡:@0.357779:0.693813:0.373112:0.693813:0.373112:0.676159:0.357779:0.676159:0.000000
4 y  8:@0.373020:0.693231:0.422057:0.693231:0.422057:0.677518:0.373020:0.677518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397833:0.693813:0.413166:0.693813:0.413166:0.676159:0.397833:0.676159:0.000000
∡:@0.357779:0.710455:0.373112:0.710455:0.373112:0.692801:0.357779:0.692801:0.000000
2 y  6 :@0.373020:0.709873:0.426088:0.709873:0.426088:0.694160:0.373020:0.694160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397833:0.710455:0.413166:0.710455:0.413166:0.692801:0.397833:0.692801:0.000000
∡:@0.357779:0.727097:0.373112:0.727097:0.373112:0.709443:0.357779:0.709443:0.000000
3 y  7:@0.373020:0.726514:0.422057:0.726514:0.422057:0.710802:0.373020:0.710802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397833:0.727097:0.413166:0.727097:0.413166:0.709443:0.397833:0.709443:0.000000
Cuatro pares de ángulos :@0.090690:0.762308:0.271427:0.762308:0.271427:0.746596:0.090690:0.746596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opuestos por el vértice.:@0.094518:0.778950:0.263578:0.778950:0.263578:0.763237:0.094518:0.763237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.357779:0.747844:0.373112:0.747844:0.373112:0.730189:0.357779:0.730189:0.000000
1 y  3:@0.373020:0.747261:0.422057:0.747261:0.422057:0.731549:0.373020:0.731549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397833:0.747844:0.413166:0.747844:0.413166:0.730189:0.397833:0.730189:0.000000
∡:@0.357779:0.764486:0.373112:0.764486:0.373112:0.746831:0.357779:0.746831:0.000000
2 y  4:@0.373020:0.763903:0.422057:0.763903:0.422057:0.748190:0.373020:0.748190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397833:0.764486:0.413166:0.764486:0.413166:0.746831:0.397833:0.746831:0.000000
∡:@0.357779:0.781127:0.373112:0.781127:0.373112:0.763473:0.357779:0.763473:0.000000
5 y  7 :@0.373020:0.780545:0.426088:0.780545:0.426088:0.764832:0.373020:0.764832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397833:0.781127:0.413166:0.781127:0.413166:0.763473:0.397833:0.763473:0.000000
∡:@0.357779:0.797769:0.373112:0.797769:0.373112:0.780115:0.357779:0.780115:0.000000
6 y  8:@0.373020:0.797187:0.422057:0.797187:0.422057:0.781474:0.373020:0.781474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397833:0.797769:0.413166:0.797769:0.413166:0.780115:0.397833:0.780115:0.000000
Ocho pares de ángulos :@0.095034:0.866264:0.267053:0.866264:0.267053:0.850552:0.095034:0.850552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adyacentes.:@0.136266:0.882906:0.221716:0.882906:0.221716:0.867193:0.136266:0.867193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.357760:0.818516:0.373094:0.818516:0.373094:0.800862:0.357760:0.800862:0.000000
1 y  2:@0.373002:0.817934:0.422039:0.817934:0.422039:0.802221:0.373002:0.802221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397815:0.818516:0.413148:0.818516:0.413148:0.800862:0.397815:0.800862:0.000000
∡:@0.357760:0.835158:0.373094:0.835158:0.373094:0.817504:0.357760:0.817504:0.000000
1 y  4:@0.373002:0.834575:0.422039:0.834575:0.422039:0.818863:0.373002:0.818863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397815:0.835158:0.413148:0.835158:0.413148:0.817504:0.397815:0.817504:0.000000
∡:@0.357760:0.851800:0.373094:0.851800:0.373094:0.834145:0.357760:0.834145:0.000000
2 y  3 :@0.373002:0.851217:0.426070:0.851217:0.426070:0.835505:0.373002:0.835505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397815:0.851800:0.413148:0.851800:0.413148:0.834145:0.397815:0.834145:0.000000
∡:@0.357760:0.868442:0.373094:0.868442:0.373094:0.850787:0.357760:0.850787:0.000000
3 y  4:@0.373002:0.867859:0.422039:0.867859:0.422039:0.852146:0.373002:0.852146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397815:0.868442:0.413148:0.868442:0.413148:0.850787:0.397815:0.850787:0.000000
∡:@0.357760:0.885083:0.373094:0.885083:0.373094:0.867429:0.357760:0.867429:0.000000
5 y  6:@0.373002:0.884501:0.422039:0.884501:0.422039:0.868788:0.373002:0.868788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397815:0.885083:0.413148:0.885083:0.413148:0.867429:0.397815:0.867429:0.000000
∡:@0.357760:0.901725:0.373094:0.901725:0.373094:0.884071:0.357760:0.884071:0.000000
5 y  8:@0.373002:0.901143:0.422039:0.901143:0.422039:0.885430:0.373002:0.885430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397815:0.901725:0.413148:0.901725:0.413148:0.884071:0.397815:0.884071:0.000000
∡:@0.357760:0.918367:0.373094:0.918367:0.373094:0.900713:0.357760:0.900713:0.000000
6 y  7 :@0.373002:0.917785:0.426070:0.917785:0.426070:0.902072:0.373002:0.902072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397815:0.918367:0.413148:0.918367:0.413148:0.900713:0.397815:0.900713:0.000000
∡:@0.357760:0.935009:0.373094:0.935009:0.373094:0.917355:0.357760:0.917355:0.000000
7 y  8:@0.373002:0.934426:0.422039:0.934426:0.422039:0.918714:0.373002:0.918714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.397815:0.935009:0.413148:0.935009:0.413148:0.917355:0.397815:0.917355:0.000000
Interdisciplinariedad :@0.740294:0.269914:0.906668:0.269914:0.906668:0.252967:0.740294:0.252967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas e :@0.740294:0.286556:0.850115:0.286556:0.850115:0.270843:0.740294:0.270843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingeniería solar:@0.740294:0.303198:0.850619:0.303198:0.850619:0.287485:0.740294:0.287485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para maximizar la :@0.741151:0.334017:0.858699:0.334017:0.858699:0.319733:0.741151:0.319733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
captación de luz solar, es :@0.741151:0.349146:0.907832:0.349146:0.907832:0.334861:0.741151:0.334861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamental considerar :@0.741151:0.364275:0.902883:0.364275:0.902883:0.349990:0.741151:0.349990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el ángulo de incidencia :@0.741151:0.379404:0.898397:0.379404:0.898397:0.365119:0.741151:0.365119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los rayos solares :@0.741151:0.394533:0.870651:0.394533:0.870651:0.380248:0.741151:0.380248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en los paneles. Este :@0.741151:0.409661:0.872080:0.409661:0.872080:0.395377:0.741151:0.395377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo puede analizarse, :@0.741151:0.424790:0.908650:0.424790:0.908650:0.410506:0.741151:0.410506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizando los ángulos :@0.741151:0.439919:0.888593:0.439919:0.888593:0.425635:0.741151:0.425635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formados por líneas :@0.741151:0.455048:0.875610:0.455048:0.875610:0.440764:0.741151:0.440764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paralelas (la superficie :@0.741151:0.470177:0.889506:0.470177:0.889506:0.455893:0.741151:0.455893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terrestre) y una secante :@0.741151:0.485306:0.898442:0.485306:0.898442:0.471022:0.741151:0.471022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(los rayos solares). La :@0.741151:0.500435:0.880105:0.500435:0.880105:0.486151:0.741151:0.486151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geometría también :@0.741151:0.515564:0.872956:0.515564:0.872956:0.501280:0.741151:0.501280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permite diseñar sistemas :@0.741151:0.530693:0.908546:0.530693:0.908546:0.516409:0.741151:0.516409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que minimicen la erosión :@0.741151:0.545822:0.912281:0.545822:0.912281:0.531538:0.741151:0.531538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la contaminación del :@0.741151:0.560951:0.894381:0.560951:0.894381:0.546667:0.741151:0.546667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suelo, o determinar la :@0.741151:0.576080:0.886901:0.576080:0.886901:0.561796:0.741151:0.561796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ubicación óptima de los :@0.741151:0.591209:0.903869:0.591209:0.903869:0.576924:0.741151:0.576924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paneles solares.:@0.741151:0.606338:0.843751:0.606338:0.843751:0.592053:0.741151:0.592053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En términos de eficiencia :@0.741151:0.699255:0.910333:0.699255:0.910333:0.684970:0.741151:0.684970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
energética, el diseño de :@0.741151:0.714384:0.901824:0.714384:0.901824:0.700099:0.741151:0.700099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
edificios sostenibles se :@0.741151:0.729512:0.893840:0.729512:0.893840:0.715228:0.741151:0.715228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
basa en estructuras que :@0.741151:0.744641:0.901990:0.744641:0.901990:0.730357:0.741151:0.730357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aprovechen al máximo la :@0.741151:0.759770:0.910680:0.759770:0.910680:0.745486:0.741151:0.745486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luz natural, para reducir :@0.741151:0.774899:0.898922:0.774899:0.898922:0.760615:0.741151:0.760615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el consumo de energía. :@0.741151:0.790028:0.899307:0.790028:0.899307:0.775744:0.741151:0.775744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aquí, el conocimiento :@0.741151:0.805157:0.889901:0.805157:0.889901:0.790873:0.741151:0.790873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los ángulos y las :@0.741151:0.820286:0.872110:0.820286:0.872110:0.806002:0.741151:0.806002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intersecciones resulta :@0.741151:0.835415:0.886973:0.835415:0.886973:0.821131:0.741151:0.821131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esencial.:@0.741151:0.850544:0.796884:0.850544:0.796884:0.836260:0.741151:0.836260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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