86:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
M.5.2.4. Resolver y plantear problemas de aplicaciones geométricas y físicas (posición, velocidad, aceleración, fuerza, entre otras) de los vectores en el plano, e interpretar y juzgar :@0.143128:0.947609:0.894364:0.947609:0.894364:0.937567:0.143128:0.937567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la validez de las soluciones obtenidas dentro del contexto del problema.:@0.143128:0.956411:0.453599:0.956411:0.453599:0.946368:0.143128:0.946368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicación de los vectores geométricos:@0.404235:0.129448:0.873988:0.129448:0.873988:0.084789:0.404235:0.084789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.198422:0.363493:0.198422:0.363493:0.182949:0.199646:0.182949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuáles son aplicacio-:@0.199884:0.227049:0.340516:0.227049:0.340516:0.211986:0.199884:0.211986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes diferentes de los vectores :@0.153341:0.242891:0.346141:0.242891:0.346141:0.227828:0.153341:0.227828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en situaciones cercanas a tu :@0.153341:0.258733:0.336486:0.258733:0.336486:0.243670:0.153341:0.243670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entorno?:@0.153341:0.274575:0.211352:0.274575:0.211352:0.259512:0.153341:0.259512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.110364:0.307805:0.110364:0.307805:0.094892:0.199646:0.094892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo calculas la longi-:@0.199884:0.138991:0.355835:0.138991:0.355835:0.123928:0.199884:0.123928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tud o norma de un vector?:@0.153341:0.154833:0.327656:0.154833:0.327656:0.139770:0.153341:0.139770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En esta sección se tratan algunos problemas de la geometría y se pre-:@0.404236:0.181731:0.891817:0.181731:0.891817:0.165233:0.404236:0.165233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sentan soluciones mediante la aplicación de los vectores geométricos :@0.404236:0.199082:0.895974:0.199082:0.895974:0.182584:0.404236:0.182584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el plano, junto con sus operaciones y propiedades.:@0.404236:0.216432:0.782718:0.216432:0.782718:0.199935:0.404236:0.199935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.404236:0.241287:0.522215:0.241287:0.522215:0.224501:0.404236:0.224501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Demostrar que el segmento que une los puntos medios de dos lados :@0.404236:0.265390:0.895916:0.265390:0.895916:0.248893:0.404236:0.248893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un triángulo es paralelo al tercer lado e igual a la mitad.:@0.404236:0.282741:0.815064:0.282741:0.815064:0.266244:0.404236:0.266244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Demostración:@0.404236:0.325034:0.513528:0.325034:0.513528:0.308088:0.404236:0.308088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considérese el triángulo, de la figura 2.37. de vértices :@0.404236:0.341922:0.794356:0.341922:0.794356:0.325424:0.404236:0.325424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B, C:@0.796359:0.342037:0.845100:0.342037:0.845100:0.325569:0.796359:0.325569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. A los :@0.845100:0.341922:0.895864:0.341922:0.895864:0.325424:0.845100:0.325424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados del triángulo   los denotamos con [:@0.404236:0.359273:0.705562:0.359273:0.705562:0.342775:0.404236:0.342775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.541809:0.359388:0.551615:0.359388:0.551615:0.342919:0.541809:0.342919:0.000000
A, B:@0.705562:0.359388:0.734188:0.359388:0.734188:0.342919:0.705562:0.342919:0.000000:0.000000:0.000000:0.000000
], [:@0.734188:0.359273:0.753588:0.359273:0.753588:0.342775:0.734188:0.342775:0.000000:0.000000:0.000000:0.000000
A, C:@0.753588:0.359388:0.783064:0.359388:0.783064:0.342919:0.753588:0.342919:0.000000:0.000000:0.000000:0.000000
] y [:@0.783064:0.359273:0.812463:0.359273:0.812463:0.342775:0.783064:0.342775:0.000000:0.000000:0.000000:0.000000:0.000000
B, C:@0.812463:0.359388:0.839338:0.359388:0.839338:0.342919:0.812463:0.342919:0.000000:0.000000:0.000000:0.000000
] y, con :@0.839303:0.359273:0.895924:0.359273:0.895924:0.342775:0.839303:0.342775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estos, asociamos los vectores :@0.404236:0.378503:0.612948:0.378503:0.612948:0.362005:0.404236:0.362005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.637966:0.378509:0.640721:0.378509:0.640721:0.362011:0.637966:0.362011:0.000000
AB AC yBC:@0.616446:0.378624:0.704084:0.378624:0.704084:0.362155:0.616446:0.362155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. En la figura 2.37. se mues-:@0.705345:0.378509:0.891775:0.378509:0.891775:0.362011:0.705345:0.362011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tran el triángulo  , los vectores :@0.404248:0.397739:0.626434:0.397739:0.626434:0.381241:0.404248:0.381241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.521864:0.397855:0.531670:0.397855:0.531670:0.381386:0.521864:0.381386:0.000000
,:@0.651712:0.397745:0.654467:0.397745:0.654467:0.381247:0.651712:0.381247:0.000000
AB AC yBC:@0.630193:0.397861:0.717830:0.397861:0.717830:0.381392:0.630193:0.381392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, y los puntos medios de :@0.719440:0.397745:0.895946:0.397745:0.895946:0.381248:0.719440:0.381248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los segmentos [:@0.404241:0.415096:0.515072:0.415096:0.515072:0.398598:0.404241:0.398598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, C:@0.515074:0.415212:0.543760:0.415212:0.543760:0.398743:0.515074:0.398743:0.000000:0.000000:0.000000:0.000000
] y [:@0.543760:0.415096:0.571579:0.415096:0.571579:0.398598:0.543760:0.398598:0.000000:0.000000:0.000000:0.000000:0.000000
B, C:@0.571579:0.415212:0.597664:0.415212:0.597664:0.398743:0.571579:0.398743:0.000000:0.000000:0.000000:0.000000
].:@0.597664:0.415096:0.606276:0.415096:0.606276:0.398598:0.597664:0.398598:0.000000:0.000000
Sea   el punto medio del segmento [:@0.404241:0.439575:0.679501:0.439575:0.679501:0.423077:0.404241:0.423077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.433967:0.439691:0.445604:0.439691:0.445604:0.423222:0.433967:0.423222:0.000000
A, C:@0.679501:0.439691:0.709651:0.439691:0.709651:0.423222:0.679501:0.423222:0.000000:0.000000:0.000000:0.000000
], y E el punto medio del :@0.709651:0.439575:0.895811:0.439575:0.895811:0.423077:0.709651:0.423077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segmento [B, C]. Entonces :@0.404241:0.466353:0.602507:0.466353:0.602507:0.449855:0.404241:0.449855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.651430:0.457043:0.659926:0.457043:0.659926:0.440546:0.651430:0.440546:0.000000
2:@0.650801:0.477317:0.659297:0.477317:0.659297:0.460820:0.650801:0.460820:0.000000
,:@0.686819:0.466355:0.689574:0.466355:0.689574:0.449857:0.686819:0.449857:0.000000
1:@0.732574:0.457043:0.741070:0.457043:0.741070:0.440546:0.732574:0.440546:0.000000
2:@0.731945:0.477317:0.740441:0.477317:0.740441:0.460820:0.731945:0.460820:0.000000
=:@0.635195:0.466994:0.564626:0.466994:0.564626:0.450713:0.635195:0.450713:0.000000
=:@0.716340:0.466994:0.645771:0.466994:0.645771:0.450713:0.716340:0.450713:0.000000
AD:@0.609078:0.466471:0.631907:0.466471:0.631907:0.450002:0.609078:0.450002:0.000000:0.000000
AC BE:@0.663309:0.466471:0.712609:0.466471:0.712609:0.450002:0.663309:0.450002:0.000000:0.000000:0.000000:0.000000:0.000000
BC:@0.743299:0.466471:0.762121:0.466471:0.762121:0.450002:0.743299:0.450002:0.000000:0.000000
. Mostremos que :@0.766184:0.466355:0.895914:0.466355:0.895914:0.449857:0.766184:0.449857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.445908:0.483824:0.454404:0.483824:0.454404:0.467326:0.445908:0.467326:0.000000
2:@0.445280:0.504098:0.453776:0.504098:0.453776:0.487600:0.445280:0.487600:0.000000
=:@0.429678:0.493772:0.440255:0.493772:0.440255:0.477491:0.429678:0.477491:0.000000
DE:@0.406810:0.493251:0.425960:0.493251:0.425960:0.476782:0.406810:0.476782:0.000000:0.000000
AB:@0.457805:0.493251:0.478188:0.493251:0.478188:0.476782:0.457805:0.476782:0.000000:0.000000
 y, en consecuencia, [:@0.481296:0.491878:0.630138:0.491878:0.630138:0.475380:0.481296:0.475380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D, E:@0.630140:0.491994:0.656283:0.491994:0.656283:0.475525:0.630140:0.475525:0.000000:0.000000:0.000000:0.000000
] || [:@0.656283:0.491878:0.686298:0.491878:0.686298:0.475380:0.656283:0.475380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.686298:0.491994:0.714136:0.491994:0.714136:0.475525:0.686298:0.475525:0.000000:0.000000:0.000000:0.000000
].:@0.714136:0.491878:0.722748:0.491878:0.722748:0.475380:0.714136:0.475380:0.000000:0.000000
De la suma de vectores :@0.404235:0.518237:0.587851:0.518237:0.587851:0.501739:0.404235:0.501739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.618196:0.518879:0.628773:0.518879:0.628773:0.502598:0.618196:0.502598:0.000000
=:@0.654800:0.518879:0.665377:0.518879:0.665377:0.502598:0.654800:0.502598:0.000000
AB BC:@0.595270:0.518358:0.650311:0.518358:0.650311:0.501889:0.595270:0.501889:0.000000:0.000000:0.000000:0.000000:0.000000
AC:@0.670020:0.518358:0.691250:0.518358:0.691250:0.501889:0.670020:0.501889:0.000000:0.000000
 se obtiene :@0.695413:0.518242:0.784399:0.518242:0.784399:0.501745:0.695413:0.501745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.815529:0.518879:0.826106:0.518879:0.826106:0.502598:0.815529:0.502598:0.000000
−:@0.855678:0.518879:0.866255:0.518879:0.866255:0.502598:0.855678:0.502598:0.000000
AB AC BC:@0.791814:0.518358:0.887813:0.518358:0.887813:0.501889:0.791814:0.501889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.889015:0.518242:0.895912:0.518242:0.895912:0.501745:0.889015:0.501745:0.000000:0.000000
Además, :@0.404244:0.537473:0.469975:0.537473:0.469975:0.520975:0.404244:0.520975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.496614:0.538115:0.507191:0.538115:0.507191:0.521835:0.496614:0.521835:0.000000
=:@0.530386:0.538115:0.540963:0.538115:0.540963:0.521835:0.530386:0.521835:0.000000
+:@0.570959:0.538115:0.581535:0.538115:0.581535:0.521835:0.570959:0.521835:0.000000
AB BE AD DE:@0.473688:0.537595:0.603382:0.537595:0.603382:0.521126:0.473688:0.521126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (ver la figura 2.37.). Luego, :@0.607337:0.537479:0.797636:0.537479:0.797636:0.520982:0.607337:0.520982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.575705:0.570768:0.586282:0.570768:0.586282:0.554487:0.575705:0.554487:0.000000
+:@0.609901:0.570768:0.620478:0.570768:0.620478:0.554487:0.609901:0.554487:0.000000
=:@0.658159:0.570768:0.668736:0.570768:0.668736:0.554487:0.658159:0.554487:0.000000
+:@0.709578:0.570768:0.720155:0.570768:0.720155:0.554487:0.709578:0.554487:0.000000
AC BC:@0.551205:0.570247:0.607036:0.570247:0.607036:0.553778:0.551205:0.553778:0.000000:0.000000:0.000000:0.000000:0.000000
BC:@0.635279:0.570247:0.654101:0.570247:0.654101:0.553778:0.635279:0.553778:0.000000:0.000000
AC DE:@0.685484:0.570247:0.741218:0.570247:0.741218:0.553778:0.685484:0.553778:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.624548:0.561254:0.633044:0.561254:0.633044:0.544756:0.624548:0.544756:0.000000
2:@0.623922:0.581525:0.632418:0.581525:0.632418:0.565027:0.623922:0.565027:0.000000
1:@0.673603:0.561251:0.682099:0.561251:0.682099:0.544753:0.673603:0.544753:0.000000
2:@0.672975:0.581525:0.681471:0.581525:0.681471:0.565027:0.672975:0.565027:0.000000
,:@0.742759:0.570131:0.745513:0.570131:0.745513:0.553634:0.742759:0.553634:0.000000
y de esta igualdad se tiene :@0.404235:0.605297:0.593821:0.605297:0.593821:0.588799:0.404235:0.588799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.619265:0.605297:0.622020:0.605297:0.622020:0.588799:0.619265:0.588799:0.000000
DE:@0.596397:0.605412:0.615547:0.605412:0.615547:0.588944:0.596397:0.588944:0.000000:0.000000
=:@0.522255:0.638584:0.532832:0.638584:0.532832:0.622303:0.522255:0.622303:0.000000
−:@0.561209:0.638584:0.571786:0.638584:0.571786:0.622303:0.561209:0.622303:0.000000
−:@0.612243:0.638584:0.622820:0.638584:0.622820:0.622303:0.612243:0.622303:0.000000
+:@0.646439:0.638584:0.657016:0.638584:0.657016:0.622303:0.646439:0.622303:0.000000
=:@0.694698:0.638584:0.705275:0.638584:0.705275:0.622303:0.694698:0.622303:0.000000
−:@0.746522:0.638584:0.757099:0.638584:0.757099:0.622303:0.746522:0.622303:0.000000
DE AC:@0.499792:0.638063:0.557934:0.638063:0.557934:0.621595:0.499792:0.621595:0.000000:0.000000:0.000000:0.000000:0.000000
AC BC:@0.587738:0.638063:0.643568:0.638063:0.643568:0.621595:0.587738:0.621595:0.000000:0.000000:0.000000:0.000000:0.000000
BC:@0.671811:0.638063:0.690633:0.638063:0.690633:0.621595:0.671811:0.621595:0.000000:0.000000
AC:@0.722017:0.638063:0.743247:0.638063:0.743247:0.621595:0.722017:0.621595:0.000000:0.000000
BC:@0.771914:0.638063:0.790736:0.638063:0.790736:0.621595:0.771914:0.621595:0.000000:0.000000
1:@0.575851:0.629070:0.584347:0.629070:0.584347:0.612572:0.575851:0.612572:0.000000
2:@0.575235:0.649343:0.583731:0.649343:0.583731:0.632845:0.575235:0.632845:0.000000
1:@0.661091:0.629069:0.669587:0.629069:0.669587:0.612571:0.661091:0.612571:0.000000
2:@0.660462:0.649343:0.668958:0.649343:0.668958:0.632845:0.660462:0.632845:0.000000
1:@0.710143:0.629069:0.718639:0.629069:0.718639:0.612571:0.710143:0.612571:0.000000
2:@0.709515:0.649343:0.718011:0.649343:0.718011:0.632845:0.709515:0.632845:0.000000
1:@0.761186:0.629069:0.769682:0.629069:0.769682:0.612571:0.761186:0.612571:0.000000
2:@0.760558:0.649343:0.769054:0.649343:0.769054:0.632845:0.760558:0.632845:0.000000
,:@0.793016:0.637948:0.795771:0.637948:0.795771:0.621450:0.793016:0.621450:0.000000
(:@0.609577:0.685293:0.615992:0.685293:0.615992:0.657290:0.609577:0.657290:0.000000
):@0.674751:0.685293:0.681167:0.685293:0.681167:0.657290:0.674751:0.657290:0.000000
=:@0.583401:0.679195:0.593978:0.679195:0.593978:0.662914:0.583401:0.662914:0.000000
−:@0.641929:0.679195:0.652506:0.679195:0.652506:0.662914:0.641929:0.662914:0.000000
=:@0.684024:0.679195:0.694600:0.679195:0.694600:0.662914:0.684024:0.662914:0.000000
DE:@0.560938:0.678674:0.580088:0.678674:0.580088:0.662205:0.560938:0.662205:0.000000:0.000000
AC BC:@0.617424:0.678674:0.673255:0.678674:0.673255:0.662205:0.617424:0.662205:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.711342:0.678674:0.731725:0.678674:0.731725:0.662205:0.711342:0.662205:0.000000:0.000000
1:@0.598845:0.669679:0.607341:0.669679:0.607341:0.653182:0.598845:0.653182:0.000000
2:@0.598210:0.689951:0.606706:0.689951:0.606706:0.673453:0.598210:0.673453:0.000000
1:@0.699449:0.669679:0.707945:0.669679:0.707945:0.653182:0.699449:0.653182:0.000000
2:@0.698813:0.689951:0.707309:0.689951:0.707309:0.673453:0.698813:0.673453:0.000000
.:@0.732131:0.678558:0.734886:0.678558:0.734886:0.662061:0.732131:0.662061:0.000000
Así, :@0.404236:0.720427:0.433346:0.720427:0.433346:0.703929:0.404236:0.703929:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.476890:0.711115:0.485386:0.711115:0.485386:0.694617:0.476890:0.694617:0.000000
2:@0.476261:0.731389:0.484757:0.731389:0.484757:0.714891:0.476261:0.714891:0.000000
=:@0.460660:0.721063:0.471237:0.721063:0.471237:0.704782:0.460660:0.704782:0.000000
DE:@0.437792:0.720542:0.456942:0.720542:0.456942:0.704073:0.437792:0.704073:0.000000:0.000000
AB:@0.488787:0.720542:0.509170:0.720542:0.509170:0.704073:0.488787:0.704073:0.000000:0.000000
 prueba que los vectores son colineales y, en conse-:@0.512278:0.720427:0.891744:0.720427:0.891744:0.703929:0.512278:0.703929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuencia, el segmento de recta [:@0.404239:0.745571:0.625999:0.745571:0.625999:0.729073:0.404239:0.729073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D, E:@0.625999:0.745686:0.652431:0.745686:0.652431:0.729218:0.625999:0.729218:0.000000:0.000000:0.000000:0.000000
] es paralelo al segmento de recta :@0.652472:0.745571:0.895884:0.745571:0.895884:0.729073:0.652472:0.729073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.404258:0.762921:0.410115:0.762921:0.410115:0.746424:0.404258:0.746424:0.000000
A, B:@0.410115:0.763037:0.437799:0.763037:0.437799:0.746568:0.410115:0.746568:0.000000:0.000000:0.000000:0.000000
], o sea, [:@0.437799:0.762921:0.499313:0.762921:0.499313:0.746424:0.437799:0.746424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D, E:@0.499313:0.763037:0.525302:0.763037:0.525302:0.746568:0.499313:0.746568:0.000000:0.000000:0.000000:0.000000
] || [:@0.525321:0.762921:0.555028:0.762921:0.555028:0.746424:0.525321:0.746424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.555028:0.763037:0.582712:0.763037:0.582712:0.746568:0.555028:0.746568:0.000000:0.000000:0.000000:0.000000
]. Adicionalmente a este resultado, se obtie-:@0.582712:0.762921:0.891746:0.762921:0.891746:0.746424:0.582712:0.746424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ne el siguiente postulado: la longitud del segmento [:@0.404258:0.780272:0.777384:0.780272:0.777384:0.763775:0.404258:0.763775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D, E:@0.777384:0.780388:0.803891:0.780388:0.803891:0.763919:0.777384:0.763919:0.000000:0.000000:0.000000:0.000000
] es la mitad :@0.803896:0.780272:0.895927:0.780272:0.895927:0.763775:0.803896:0.763775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la longitud del segmento [:@0.404258:0.807050:0.612723:0.807050:0.612723:0.790553:0.404258:0.790553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.612723:0.807166:0.640562:0.807166:0.640562:0.790697:0.612723:0.790697:0.000000:0.000000:0.000000:0.000000
]. Es decir que :@0.640562:0.807050:0.743128:0.807050:0.743128:0.790553:0.640562:0.790553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.796085:0.797743:0.804581:0.797743:0.804581:0.781245:0.796085:0.781245:0.000000
2:@0.795457:0.818017:0.803953:0.818017:0.803953:0.801519:0.795457:0.801519:0.000000
=:@0.779855:0.807691:0.790432:0.807691:0.790432:0.791410:0.779855:0.791410:0.000000
DE:@0.751323:0.807170:0.770473:0.807170:0.770473:0.790702:0.751323:0.790702:0.000000:0.000000
AB:@0.813627:0.807170:0.834010:0.807170:0.834010:0.790702:0.813627:0.790702:0.000000:0.000000
.:@0.843619:0.807054:0.846374:0.807054:0.846374:0.790557:0.843619:0.790557:0.000000
Aplicación de vectores en la física:@0.404236:0.843154:0.672905:0.843154:0.672905:0.825471:0.404236:0.825471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rampa para personas con discapacidades:@0.404236:0.867453:0.722760:0.867453:0.722760:0.850507:0.404236:0.850507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El ejemplo que consideramos es el de una persona que se moviliza en :@0.404236:0.891469:0.895934:0.891469:0.895934:0.874971:0.404236:0.874971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una silla de ruedas. En la figura 2.38. se muestra en forma esquemática :@0.404236:0.908820:0.895909:0.908820:0.895909:0.892322:0.404236:0.892322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.302154:0.455367:0.313634:0.455367:0.313634:0.445342:0.302154:0.445342:0.000000
 :@0.313634:0.456075:0.316516:0.456075:0.316516:0.444598:0.313634:0.444598:0.000000
Figura 2.37.:@0.316516:0.456075:0.370994:0.456075:0.370994:0.444598:0.316516:0.444598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Silla de ruedas:@0.192064:0.887686:0.264128:0.887686:0.264128:0.876533:0.192064:0.876533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.302154:0.911024:0.313634:0.911024:0.313634:0.900999:0.302154:0.900999:0.000000
 :@0.313634:0.911732:0.316516:0.911732:0.316516:0.900255:0.313634:0.900255:0.000000
Figura 2.38.:@0.316516:0.911732:0.370994:0.911732:0.370994:0.900255:0.316516:0.900255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.160212:0.427108:0.169523:0.427108:0.169523:0.413504:0.160212:0.413504:0.000000
B:@0.346177:0.427108:0.353768:0.427108:0.353768:0.413504:0.346177:0.413504:0.000000
E:@0.308220:0.388265:0.314793:0.388265:0.314793:0.374661:0.308220:0.374661:0.000000
D:@0.202227:0.388265:0.211840:0.388265:0.211840:0.374661:0.202227:0.374661:0.000000
C:@0.253314:0.353340:0.261605:0.353340:0.261605:0.339735:0.253314:0.339735:0.000000
AC:@0.219451:0.366492:0.238558:0.366492:0.238558:0.351670:0.219451:0.351670:0.000000:0.000000
BC:@0.273678:0.366492:0.290618:0.366492:0.290618:0.351670:0.273678:0.351670:0.000000:0.000000
DE:@0.244058:0.406409:0.261293:0.406409:0.261293:0.391587:0.244058:0.391587:0.000000:0.000000
T:@0.160817:0.390220:0.168918:0.390220:0.168918:0.376616:0.160817:0.376616:0.000000
Competencia :@0.199644:0.519399:0.297267:0.519399:0.297267:0.503927:0.199644:0.503927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.199644:0.531967:0.311603:0.531967:0.311603:0.516495:0.199644:0.516495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El término 'colineales' :@0.193071:0.556442:0.335319:0.556442:0.335319:0.541379:0.193071:0.541379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hace referencia a los puntos :@0.153335:0.572284:0.336445:0.572284:0.336445:0.557221:0.153335:0.557221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se encuentran en la misma :@0.153335:0.588126:0.358241:0.588126:0.358241:0.573063:0.153335:0.573063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta.:@0.153335:0.603968:0.189007:0.603968:0.189007:0.588905:0.153335:0.588905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El punto medio de los lados de :@0.153335:0.626939:0.358114:0.626939:0.358114:0.611876:0.153335:0.611876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un triángulo divide a cada lado :@0.153335:0.642781:0.357500:0.642781:0.357500:0.627718:0.153335:0.627718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en dos de igual medida.:@0.153335:0.658623:0.306859:0.658623:0.306859:0.643560:0.153335:0.643560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000