16:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
p:@0.308210:0.683661:0.319690:0.683661:0.319690:0.673637:0.308210:0.673637:0.000000
 Figura 1.5.:@0.319690:0.684369:0.371140:0.684369:0.371140:0.672892:0.319690:0.672892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.404236:0.105481:0.522215:0.105481:0.522215:0.088694:0.404236:0.088694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.404236:0.122672:0.416508:0.122672:0.416508:0.105958:0.404236:0.105958:0.000000:0.000000
  Consideremos cuatro números reales positivos, :@0.416508:0.122455:0.765799:0.122455:0.765799:0.105958:0.416508:0.105958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u, v, x, y,:@0.766442:0.122571:0.822735:0.122571:0.822735:0.106102:0.766442:0.106102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tales que  :@0.822735:0.122455:0.895905:0.122455:0.895905:0.105958:0.822735:0.105958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.427971:0.139922:0.435446:0.139922:0.435446:0.123453:0.427971:0.123453:0.000000
 +   y  +   son los lados del rectángulo  , que se descomponen :@0.435446:0.139806:0.895920:0.139806:0.895920:0.123309:0.435446:0.123309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y u  v:@0.454807:0.139922:0.515204:0.139922:0.515204:0.123453:0.454807:0.123453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.721668:0.139922:0.731243:0.139922:0.731243:0.123453:0.721668:0.123453:0.000000
en las cuatro subregiones rectangulares de la Figura 1.3.:@0.427971:0.157157:0.816915:0.157157:0.816915:0.140659:0.427971:0.140659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404236:0.174508:0.408378:0.174508:0.408378:0.158010:0.404236:0.158010:0.000000
El área de esta región es::@0.427971:0.174508:0.598447:0.174508:0.598447:0.158010:0.427971:0.158010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404236:0.191858:0.408378:0.191858:0.408378:0.175361:0.404236:0.175361:0.000000
a R:@0.427971:0.191974:0.452476:0.191974:0.452476:0.175505:0.427971:0.175505:0.000000:0.000000:0.000000
( ) = (  + )(  +  ) =   +:@0.436949:0.191858:0.622280:0.191858:0.622280:0.175361:0.436949:0.175361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y u v:@0.483474:0.191974:0.565718:0.191974:0.565718:0.175505:0.483474:0.175505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xu  xv  yu yv.:@0.590762:0.191974:0.714522:0.191974:0.714522:0.175505:0.590762:0.175505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 +:@0.641873:0.191858:0.656823:0.191858:0.656823:0.175361:0.641873:0.175361:0.000000:0.000000
 + :@0.677957:0.191858:0.697049:0.191858:0.697049:0.175361:0.677957:0.175361:0.000000:0.000000:0.000000
Utiliza este resultado para calcular mentalmente::@0.404236:0.226560:0.749795:0.226560:0.749795:0.210062:0.404236:0.210062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,8 2,7 + 1,8 1,3 + 3,2 2,7 + 3,2 1,3 =:@0.404236:0.243911:0.695551:0.243911:0.695551:0.227413:0.404236:0.227413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.423982:0.242072:0.439497:0.242072:0.439497:0.233368:0.423982:0.233368:0.000000:0.000000:0.000000
  :@0.497847:0.242072:0.513361:0.242072:0.513361:0.233368:0.497847:0.233368:0.000000:0.000000:0.000000
  :@0.571712:0.242072:0.587226:0.242072:0.587226:0.233368:0.571712:0.233368:0.000000:0.000000:0.000000
  :@0.645575:0.242072:0.661089:0.242072:0.661089:0.233368:0.645575:0.233368:0.000000:0.000000:0.000000
1,8(2,7 + 1,3) + 3,2(2,7 + 1,3) =:@0.404241:0.261261:0.618760:0.261261:0.618760:0.244764:0.404241:0.244764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,8 4 + 3,2 4 = 4(1,8 + 3,2) = 4 5 = 20.:@0.404241:0.278612:0.698650:0.278612:0.698650:0.262115:0.404241:0.262115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.423982:0.276773:0.439497:0.276773:0.439497:0.268069:0.423982:0.268069:0.000000:0.000000:0.000000
  :@0.486596:0.276773:0.502110:0.276773:0.502110:0.268069:0.486596:0.268069:0.000000:0.000000:0.000000
  :@0.636036:0.276773:0.651550:0.276773:0.651550:0.268069:0.636036:0.268069:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.404239:0.313690:0.522217:0.313690:0.522217:0.296903:0.404239:0.296903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.404239:0.330881:0.420595:0.330881:0.420595:0.314167:0.404239:0.314167:0.000000:0.000000:0.000000
Sean:@0.427973:0.330665:0.461630:0.330665:0.461630:0.314167:0.427973:0.314167:0.000000:0.000000:0.000000:0.000000
 x, y:@0.461630:0.330780:0.488043:0.330780:0.488043:0.314311:0.461630:0.314311:0.000000:0.000000:0.000000:0.000000:0.000000
 dos números reales positivos, tal que   +   es la longitud :@0.488043:0.330665:0.893478:0.330665:0.893478:0.314167:0.488043:0.314167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.756444:0.330780:0.790698:0.330780:0.790698:0.314311:0.756444:0.314311:0.000000:0.000000:0.000000
de un lado del cuadrado de la figura 1.4., que se descomponen :@0.427973:0.348015:0.875255:0.348015:0.875255:0.331518:0.427973:0.331518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en las cuatro subregiones: dos cuadradas y dos rectangulares.:@0.427973:0.365366:0.859336:0.365366:0.859336:0.348868:0.427973:0.348868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404239:0.382717:0.408381:0.382717:0.408381:0.366219:0.404239:0.366219:0.000000
El área del cuadrado es la suma de cada una de las áreas de las :@0.427973:0.382717:0.895925:0.382717:0.895925:0.366219:0.427973:0.366219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
regiones rectangulares y cuadradas.:@0.427973:0.400068:0.677728:0.400068:0.677728:0.383570:0.427973:0.383570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      a C:@0.404239:0.417534:0.454059:0.417534:0.454059:0.401065:0.404239:0.401065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = (  +  )  =   + 2  + :@0.438068:0.417418:0.623765:0.417418:0.623765:0.400921:0.438068:0.400921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.485056:0.417534:0.519310:0.417534:0.519310:0.401065:0.485056:0.401065:0.000000:0.000000:0.000000
2:@0.525257:0.411067:0.530210:0.411067:0.530210:0.401448:0.525257:0.401448:0.000000
x:@0.549303:0.417534:0.556778:0.417534:0.556778:0.401065:0.549303:0.401065:0.000000
2:@0.556777:0.411067:0.561730:0.411067:0.561730:0.401448:0.556777:0.401448:0.000000
xy y .:@0.589318:0.417534:0.639254:0.417534:0.639254:0.401065:0.589318:0.401065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.631449:0.411067:0.636402:0.411067:0.636402:0.401448:0.631449:0.401448:0.000000
Utiliza este resultado para calcular mentalmente.:@0.404237:0.447348:0.749948:0.447348:0.749948:0.430851:0.404237:0.430851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(4,1)  + 2 4,1 1,9 + (1,9)  = (4,1 + 1,9)  = (6)  = 36.:@0.404237:0.464699:0.771997:0.464693:0.771997:0.448195:0.404237:0.448201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.435888:0.458341:0.440841:0.458341:0.440841:0.448723:0.435888:0.448723:0.000000
  :@0.468428:0.462854:0.483942:0.462854:0.483942:0.454150:0.468428:0.454150:0.000000:0.000000:0.000000
  :@0.503454:0.462854:0.518968:0.462854:0.518968:0.454150:0.503454:0.454150:0.000000:0.000000:0.000000
2:@0.589225:0.458341:0.594178:0.458341:0.594178:0.448723:0.589225:0.448723:0.000000
2:@0.683758:0.458341:0.688711:0.458341:0.688711:0.448723:0.683758:0.448723:0.000000
2:@0.728206:0.458341:0.733159:0.458341:0.733159:0.448723:0.728206:0.448723:0.000000
Si ponemos   =   +  , entonces :@0.404242:0.494623:0.630262:0.494623:0.630262:0.478125:0.404242:0.478125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x y:@0.492190:0.494739:0.554513:0.494739:0.554513:0.478270:0.492190:0.478270:0.000000:0.000000:0.000000:0.000000:0.000000
y = a – x, :@0.630262:0.494739:0.699000:0.494739:0.699000:0.478270:0.630262:0.478270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luego::@0.699000:0.494623:0.741095:0.494623:0.741095:0.478125:0.699000:0.478125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a R:@0.404242:0.512089:0.428747:0.512089:0.428747:0.495621:0.404242:0.495621:0.000000:0.000000:0.000000
( ) = (  –  )  =   – 2  + :@0.413220:0.511974:0.606697:0.511967:0.606697:0.495470:0.413220:0.495476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.428742:0.515244:0.433695:0.515244:0.433695:0.505626:0.428742:0.505626:0.000000
a x:@0.464691:0.512083:0.499928:0.512083:0.499928:0.495614:0.464691:0.495614:0.000000:0.000000:0.000000
2:@0.505880:0.505614:0.510833:0.505614:0.510833:0.495996:0.505880:0.495996:0.000000
a:@0.529924:0.512083:0.538901:0.512083:0.538901:0.495614:0.529924:0.495614:0.000000
2:@0.538902:0.505614:0.543855:0.505614:0.543855:0.495996:0.538902:0.495996:0.000000
ax x .:@0.571134:0.512083:0.621975:0.512083:0.621975:0.495614:0.571134:0.495614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.614171:0.505614:0.619124:0.505614:0.619124:0.495996:0.614171:0.495996:0.000000
 :@0.404240:0.524547:0.408382:0.524547:0.408382:0.508049:0.404240:0.508049:0.000000
De manera similar :@0.404240:0.541897:0.537091:0.541897:0.537091:0.525400:0.404240:0.525400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = a – y:@0.537091:0.542013:0.598720:0.542013:0.598720:0.525544:0.537091:0.525544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, entonces: :@0.598720:0.541897:0.677513:0.541897:0.677513:0.525400:0.598720:0.525400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a R:@0.404240:0.559364:0.428745:0.559364:0.428745:0.542895:0.404240:0.542895:0.000000:0.000000:0.000000
( ) = (:@0.413217:0.559248:0.464691:0.559242:0.464691:0.542744:0.413217:0.542750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.428742:0.562518:0.433695:0.562518:0.433695:0.552900:0.428742:0.552900:0.000000
a – y:@0.464691:0.559357:0.499677:0.559357:0.499677:0.542889:0.464691:0.542889:0.000000:0.000000:0.000000:0.000000:0.000000
)  =   – 2  + :@0.499677:0.559242:0.606621:0.559242:0.606621:0.542744:0.499677:0.542744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.505628:0.552890:0.510582:0.552890:0.510582:0.543272:0.505628:0.543272:0.000000
a:@0.529674:0.559357:0.538652:0.559357:0.538652:0.542889:0.529674:0.542889:0.000000
2:@0.538651:0.552890:0.543604:0.552890:0.543604:0.543272:0.538651:0.543272:0.000000
ay y .:@0.570884:0.559357:0.622111:0.559357:0.622111:0.542889:0.570884:0.542889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.614306:0.552890:0.619259:0.552890:0.619259:0.543272:0.614306:0.543272:0.000000
Ejercicio resuelto:@0.404240:0.589548:0.522219:0.589548:0.522219:0.572761:0.404240:0.572761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.404240:0.606740:0.420597:0.606740:0.420597:0.590025:0.404240:0.590025:0.000000:0.000000:0.000000
Sean:@0.427975:0.606523:0.461632:0.606523:0.461632:0.590025:0.427975:0.590025:0.000000:0.000000:0.000000:0.000000
 a, b:@0.461632:0.606638:0.491127:0.606638:0.491127:0.590170:0.461632:0.590170:0.000000:0.000000:0.000000:0.000000:0.000000
 dos números reales positivos, tales que   ≤  . Considera :@0.491127:0.606523:0.895922:0.606523:0.895922:0.590025:0.491127:0.590025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.775476:0.606638:0.784743:0.606638:0.784743:0.590170:0.775476:0.590170:0.000000
a:@0.804258:0.606638:0.813236:0.606638:0.813236:0.590170:0.804258:0.590170:0.000000
 :@0.891767:0.606523:0.895909:0.606523:0.895909:0.590025:0.891767:0.590025:0.000000
el rectángulo de lados   y   +  , así como la descomposición que :@0.427975:0.623873:0.895924:0.623873:0.895924:0.607376:0.427975:0.607376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.588703:0.623989:0.623111:0.623989:0.623111:0.607520:0.588703:0.607520:0.000000:0.000000:0.000000
b:@0.642550:0.623989:0.651816:0.623989:0.651816:0.607520:0.642550:0.607520:0.000000
se ilustra en la figura 1.5.:@0.427975:0.641224:0.598297:0.641224:0.598297:0.624726:0.427975:0.624726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Utiliza áreas de rectángulos para comprobar que: :@0.404240:0.675926:0.755479:0.675926:0.755479:0.659428:0.404240:0.659428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.567899:0.700520:0.576876:0.700520:0.576876:0.684052:0.567899:0.684052:0.000000
2:@0.576486:0.694046:0.581439:0.694046:0.581439:0.684428:0.576486:0.684428:0.000000
 –   = (  –  )(  +  ).:@0.581215:0.700398:0.728115:0.700398:0.728115:0.683900:0.581215:0.683900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.598843:0.700513:0.608110:0.700513:0.608110:0.684045:0.598843:0.684045:0.000000
2 :@0.607724:0.694046:0.614868:0.694046:0.614868:0.684428:0.607724:0.684428:0.000000:0.000000
a b a b:@0.638147:0.700513:0.720178:0.700513:0.720178:0.684045:0.638147:0.684045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formen grupos de tres compañeras y compañeros y cada grupo res-:@0.404247:0.724038:0.891774:0.724038:0.891774:0.707540:0.404247:0.707540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ponda la siguiente pregunta: ¿cuántos rectángulos hay en la figura?:@0.404247:0.741389:0.875859:0.741389:0.875859:0.724891:0.404247:0.724891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La respuesta es 9 rectángulos.:@0.404247:0.758740:0.613252:0.758740:0.613252:0.742242:0.404247:0.742242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.404247:0.789046:0.522226:0.789046:0.522226:0.772259:0.404247:0.772259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. :@0.404247:0.806237:0.420603:0.806237:0.420603:0.789523:0.404247:0.789523:0.000000:0.000000:0.000000
  Sean :@0.420603:0.806020:0.465780:0.806020:0.465780:0.789523:0.420603:0.789523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b:@0.464971:0.806136:0.489091:0.806136:0.489091:0.789667:0.464971:0.789667:0.000000:0.000000:0.000000:0.000000
 dos números reales no negativos y un cubo de lado   +  , :@0.489091:0.806020:0.895987:0.806020:0.895987:0.789523:0.489091:0.789523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.853372:0.806136:0.889090:0.806136:0.889090:0.789667:0.853372:0.789667:0.000000:0.000000:0.000000
 :@0.891774:0.806020:0.895916:0.806020:0.895916:0.789523:0.891774:0.789523:0.000000
como el que se ilustra en la figura 1.6.:@0.427982:0.823371:0.691220:0.823371:0.691220:0.806874:0.427982:0.806874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formen grupos de tres compañeras y compañeros. Luego, cada gru-:@0.404247:0.847012:0.891714:0.847012:0.891714:0.830514:0.404247:0.830514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
po debe descomponer este cubo en 8 paralelepípedos rectangulares. :@0.404247:0.864362:0.895989:0.864362:0.895989:0.847865:0.404247:0.847865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891774:0.864362:0.895916:0.864362:0.895916:0.847865:0.891774:0.847865:0.000000
Elaboren en su cuaderno una lista de todos estos paralelepípedos :@0.404247:0.881713:0.895914:0.881713:0.895914:0.865215:0.404247:0.865215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectangulares con sus respectivos volúmenes. Discutan los resulta-:@0.404247:0.899064:0.891754:0.899064:0.891754:0.882566:0.404247:0.882566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos obtenidos.:@0.404247:0.916415:0.511495:0.916415:0.511495:0.899917:0.404247:0.899917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xv:@0.197480:0.122510:0.210243:0.122510:0.210243:0.108905:0.197480:0.108905:0.000000:0.000000
xu:@0.198514:0.166978:0.212201:0.166978:0.212201:0.153374:0.198514:0.153374:0.000000:0.000000
y:@0.297304:0.204210:0.303654:0.204210:0.303654:0.190606:0.297304:0.190606:0.000000
x:@0.202985:0.204210:0.209160:0.204210:0.209160:0.190606:0.202985:0.190606:0.000000
v:@0.157289:0.123528:0.163719:0.123528:0.163719:0.109923:0.157289:0.109923:0.000000
u:@0.156701:0.167053:0.164308:0.167053:0.164308:0.153449:0.156701:0.153449:0.000000
yv:@0.293807:0.122513:0.306921:0.122513:0.306921:0.108908:0.293807:0.108908:0.000000:0.000000
yu:@0.294300:0.166982:0.308337:0.166982:0.308337:0.153377:0.294300:0.153377:0.000000:0.000000
p:@0.309739:0.225022:0.321220:0.225022:0.321220:0.214997:0.309739:0.214997:0.000000
 :@0.321220:0.225730:0.324101:0.225730:0.324101:0.214253:0.321220:0.214253:0.000000
Figura 1.3.:@0.324101:0.225730:0.372670:0.225730:0.372670:0.214253:0.324101:0.214253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  )(  +  ) =   +   +   +:@0.143847:0.248822:0.353453:0.248822:0.353453:0.232324:0.143847:0.232324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y u v:@0.149607:0.248937:0.229731:0.248937:0.229731:0.232469:0.149607:0.232469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xu xv yu  yv:@0.253813:0.248937:0.372892:0.248937:0.372892:0.232469:0.253813:0.232469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.308064:0.424965:0.319544:0.424965:0.319544:0.414941:0.308064:0.414941:0.000000
 :@0.319544:0.425673:0.322426:0.425673:0.322426:0.414196:0.319544:0.414196:0.000000
Figura 1.4.:@0.322426:0.425673:0.370994:0.425673:0.370994:0.414196:0.322426:0.414196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.194578:0.323597:0.207262:0.323597:0.207262:0.309993:0.194578:0.309993:0.000000:0.000000
x:@0.199066:0.379377:0.205241:0.379377:0.205241:0.365773:0.199066:0.365773:0.000000
2:@0.205239:0.374089:0.209127:0.374089:0.209127:0.366158:0.205239:0.366158:0.000000
y:@0.289708:0.406193:0.296058:0.406193:0.296058:0.392588:0.289708:0.392588:0.000000
x:@0.200703:0.406193:0.206878:0.406193:0.206878:0.392588:0.200703:0.392588:0.000000
y:@0.161068:0.323676:0.167418:0.323676:0.167418:0.310072:0.161068:0.310072:0.000000
x:@0.161157:0.379381:0.167332:0.379381:0.167332:0.365777:0.161157:0.365777:0.000000
y:@0.284783:0.323601:0.291133:0.323601:0.291133:0.309996:0.284783:0.309996:0.000000
2:@0.291126:0.318309:0.295013:0.318309:0.295013:0.310378:0.291126:0.310378:0.000000
xy:@0.283554:0.379376:0.296238:0.379376:0.296238:0.365771:0.283554:0.365771:0.000000:0.000000
(  +  )  =   + 2  + :@0.143847:0.448765:0.288511:0.448765:0.288511:0.432268:0.143847:0.432268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.149800:0.448881:0.184054:0.448881:0.184054:0.432412:0.149800:0.432412:0.000000:0.000000:0.000000
2:@0.190005:0.442414:0.194958:0.442414:0.194958:0.432795:0.190005:0.432795:0.000000
x:@0.214050:0.448881:0.221525:0.448881:0.221525:0.432412:0.214050:0.432412:0.000000
2:@0.221524:0.442414:0.226478:0.442414:0.226478:0.432795:0.221524:0.432795:0.000000
xy y:@0.254064:0.448881:0.296197:0.448881:0.296197:0.432412:0.254064:0.432412:0.000000:0.000000:0.000000:0.000000
2:@0.296197:0.442414:0.301150:0.442414:0.301150:0.432795:0.296197:0.432795:0.000000
b:@0.287474:0.663156:0.295129:0.663156:0.295129:0.649552:0.287474:0.649552:0.000000
a:@0.247415:0.487320:0.254832:0.487320:0.254832:0.473716:0.247415:0.473716:0.000000
a:@0.332848:0.552344:0.340264:0.552344:0.340264:0.538740:0.332848:0.538740:0.000000
b:@0.332729:0.632071:0.340384:0.632071:0.340384:0.618466:0.332729:0.618466:0.000000
a:@0.163526:0.552344:0.170942:0.552344:0.170942:0.538740:0.163526:0.538740:0.000000
b:@0.163407:0.632071:0.171062:0.632071:0.171062:0.618466:0.163407:0.618466:0.000000
a:@0.143847:0.709766:0.152825:0.709766:0.152825:0.693297:0.143847:0.693297:0.000000
2:@0.152823:0.703298:0.157776:0.703298:0.157776:0.693680:0.152823:0.693680:0.000000
 –   = (  –  )(  +  ):@0.157777:0.709650:0.312875:0.709650:0.312875:0.693153:0.157777:0.693153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.176560:0.709766:0.185827:0.709766:0.185827:0.693297:0.176560:0.693297:0.000000
2 :@0.185827:0.703298:0.193195:0.703298:0.193195:0.693680:0.185827:0.693680:0.000000:0.000000
a b a b:@0.218239:0.709766:0.306922:0.709766:0.306922:0.693297:0.218239:0.693297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.261219:0.703298:0.263634:0.703298:0.263634:0.693680:0.261219:0.693680:0.000000
ab:@0.239624:0.862265:0.259184:0.862265:0.259184:0.844748:0.239624:0.844748:0.000000:0.000000
2:@0.259184:0.855472:0.264376:0.855472:0.264376:0.845260:0.259184:0.845260:0.000000
ab:@0.185507:0.822868:0.205067:0.822868:0.205067:0.805352:0.185507:0.805352:0.000000:0.000000
2:@0.205067:0.816076:0.210259:0.816076:0.210259:0.805864:0.205067:0.805864:0.000000
a b:@0.239674:0.822868:0.264504:0.822868:0.264504:0.805352:0.239674:0.805352:0.000000:0.000000:0.000000
2:@0.249382:0.816076:0.254574:0.816076:0.254574:0.805864:0.249382:0.805864:0.000000
a b:@0.305836:0.839525:0.330676:0.839528:0.330676:0.822011:0.305836:0.822008:0.000000:0.000000:0.000000
2:@0.315554:0.832735:0.320746:0.832735:0.320746:0.822523:0.315554:0.822523:0.000000
a b:@0.213919:0.770698:0.238754:0.770690:0.238754:0.753174:0.213919:0.753181:0.000000:0.000000:0.000000
2:@0.223632:0.763898:0.228824:0.763898:0.228824:0.753686:0.223632:0.753686:0.000000
a:@0.274859:0.770690:0.284569:0.770690:0.284569:0.753174:0.274859:0.753174:0.000000
3:@0.284564:0.763898:0.289756:0.763898:0.289756:0.753686:0.284564:0.753686:0.000000
b:@0.192208:0.864778:0.202139:0.864778:0.202139:0.847261:0.192208:0.847261:0.000000
3:@0.202139:0.857986:0.207331:0.857986:0.207331:0.847774:0.202139:0.847774:0.000000
a:@0.194600:0.764404:0.204310:0.764404:0.204310:0.746887:0.194600:0.746887:0.000000
b:@0.192208:0.887413:0.202139:0.887413:0.202139:0.869896:0.192208:0.869896:0.000000
b:@0.173693:0.781800:0.183624:0.781800:0.183624:0.764283:0.173693:0.764283:0.000000
b:@0.162053:0.864782:0.171984:0.864782:0.171984:0.847265:0.162053:0.847265:0.000000
b:@0.295135:0.879869:0.305065:0.879869:0.305065:0.862353:0.295135:0.862353:0.000000
b:@0.239691:0.753933:0.249622:0.753933:0.249622:0.736416:0.239691:0.736416:0.000000
a:@0.295135:0.753933:0.304844:0.753933:0.304844:0.736416:0.295135:0.736416:0.000000
a:@0.338235:0.793764:0.347945:0.793764:0.347945:0.776248:0.338235:0.776248:0.000000
a:@0.323279:0.855186:0.332988:0.855186:0.332988:0.837669:0.323279:0.837669:0.000000
a:@0.247169:0.884260:0.256879:0.884260:0.256879:0.866743:0.247169:0.866743:0.000000
a:@0.162053:0.816909:0.171763:0.816909:0.171763:0.799392:0.162053:0.799392:0.000000
p:@0.308500:0.905304:0.319980:0.905304:0.319980:0.895280:0.308500:0.895280:0.000000
 :@0.319980:0.906012:0.322861:0.906012:0.322861:0.894536:0.319980:0.894536:0.000000
Figura 1.6.:@0.322861:0.906012:0.371430:0.906012:0.371430:0.894536:0.322861:0.894536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  )  =   + 3:@0.143847:0.929104:0.258649:0.929104:0.258649:0.912606:0.143847:0.912606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.149800:0.929220:0.187136:0.929220:0.187136:0.912751:0.149800:0.912751:0.000000:0.000000:0.000000
3:@0.193087:0.922752:0.198040:0.922752:0.198040:0.913133:0.193087:0.913133:0.000000
a:@0.217133:0.929220:0.226110:0.929220:0.226110:0.912751:0.217133:0.912751:0.000000
3:@0.226110:0.922752:0.231063:0.922752:0.231063:0.913133:0.226110:0.913133:0.000000
a b :@0.258649:0.929220:0.285989:0.929220:0.285989:0.912751:0.258649:0.912751:0.000000:0.000000:0.000000:0.000000
2:@0.267627:0.922752:0.272580:0.922752:0.272580:0.913133:0.267627:0.913133:0.000000
+ 3:@0.285989:0.929104:0.309435:0.929104:0.309435:0.912606:0.285989:0.912606:0.000000:0.000000:0.000000
ab  + b:@0.309435:0.929220:0.360950:0.929220:0.360950:0.912751:0.309435:0.912751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.327562:0.922752:0.332515:0.922752:0.332515:0.913133:0.327562:0.913133:0.000000
3:@0.360950:0.922752:0.365903:0.922752:0.365903:0.913133:0.360950:0.913133:0.000000
a b:@0.203740:0.505822:0.232718:0.505822:0.232718:0.492934:0.203740:0.492934:0.000000:0.000000:0.000000
 – :@0.210766:0.505732:0.225466:0.505732:0.225466:0.492820:0.210766:0.492820:0.000000:0.000000:0.000000