85:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
Sea   = ( ,  )    , entonces,   –   = ( ,  ) – ( , 0) = (  –  ,  ),:@0.108233:0.096194:0.541087:0.096194:0.541087:0.079697:0.108233:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.136495:0.096310:0.143970:0.096310:0.143970:0.079841:0.136495:0.079841:0.000000
:@0.138191:0.096686:0.144606:0.096686:0.144606:0.080868:0.138191:0.080868:0.000000
x y:@0.169651:0.096310:0.191709:0.096310:0.191709:0.079841:0.169651:0.079841:0.000000:0.000000:0.000000
:@0.201802:0.095676:0.216454:0.095676:0.216454:0.082302:0.201802:0.082302:0.000000
:@0.220596:0.095107:0.233901:0.095107:0.233901:0.082245:0.220596:0.082245:0.000000
2:@0.233901:0.089842:0.238854:0.089842:0.238854:0.080224:0.233901:0.080224:0.000000
x:@0.317608:0.096310:0.325083:0.096310:0.325083:0.079841:0.317608:0.079841:0.000000
:@0.319305:0.096686:0.325720:0.096686:0.325720:0.080868:0.319305:0.080868:0.000000
F:@0.344504:0.096310:0.352056:0.096310:0.352056:0.079841:0.344504:0.079841:0.000000
:@0.346662:0.094170:0.353077:0.094170:0.353077:0.078352:0.346662:0.078352:0.000000
x y:@0.378025:0.096310:0.400084:0.096310:0.400084:0.079841:0.378025:0.079841:0.000000:0.000000:0.000000
c:@0.430774:0.096310:0.437960:0.096310:0.437960:0.079841:0.430774:0.079841:0.000000
x c y:@0.484350:0.096310:0.532379:0.096310:0.532379:0.079841:0.484350:0.079841:0.000000:0.000000:0.000000:0.000000:0.000000
d x L:@0.108235:0.117218:0.146207:0.117218:0.146207:0.100749:0.108235:0.100749:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) = |  +  |,  ||  –  || =   (  –  )  + y .:@0.117405:0.117102:0.396176:0.117109:0.396176:0.100612:0.117405:0.100604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.125053:0.117593:0.131469:0.117593:0.131469:0.101775:0.125053:0.101775:0.000000
x c:@0.176260:0.117218:0.210013:0.117218:0.210013:0.100749:0.176260:0.100749:0.000000:0.000000:0.000000
x:@0.236079:0.117218:0.243554:0.117218:0.243554:0.100749:0.236079:0.100749:0.000000
:@0.237774:0.117593:0.244190:0.117593:0.244190:0.101775:0.237774:0.101775:0.000000
F:@0.262973:0.117218:0.270525:0.117218:0.270525:0.100749:0.262973:0.100749:0.000000
:@0.265131:0.115078:0.271546:0.115078:0.271546:0.099260:0.265131:0.099260:0.000000
x c:@0.314797:0.117218:0.348241:0.117218:0.348241:0.100749:0.314797:0.100749:0.000000:0.000000:0.000000
2:@0.354187:0.110758:0.359140:0.110758:0.359140:0.101140:0.354187:0.101140:0.000000
2 :@0.386053:0.110758:0.393421:0.110758:0.393421:0.101140:0.386053:0.101140:0.000000:0.000000
Se tiene la siguiente equivalencia: :@0.108237:0.151811:0.346144:0.151811:0.346144:0.135313:0.108237:0.135313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.108237:0.169277:0.115712:0.169277:0.115712:0.152809:0.108237:0.152809:0.000000
:@0.109933:0.169653:0.116348:0.169653:0.116348:0.153835:0.109933:0.153835:0.000000
 = ( ,  )    (0,  )    ( ,  ) = ||  –  ||.:@0.116348:0.169162:0.384635:0.169162:0.384635:0.152664:0.116348:0.152664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.141393:0.169277:0.163451:0.169277:0.163451:0.152809:0.141393:0.152809:0.000000:0.000000:0.000000
:@0.173541:0.168643:0.188193:0.168643:0.188193:0.155270:0.173541:0.155270:0.000000
������:@0.192335:0.176748:0.205750:0.176748:0.205750:0.157749:0.192335:0.157749:0.000000:0.000000
:@0.212967:0.167137:0.219382:0.167137:0.219382:0.151319:0.212967:0.151319:0.000000
c:@0.226182:0.169277:0.233368:0.169277:0.233368:0.152809:0.226182:0.152809:0.000000
d x L:@0.263457:0.169277:0.301428:0.169277:0.301428:0.152809:0.263457:0.152809:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.280275:0.169653:0.286690:0.169653:0.286690:0.153835:0.280275:0.153835:0.000000
x:@0.336491:0.169277:0.343966:0.169277:0.343966:0.152809:0.336491:0.152809:0.000000
:@0.338187:0.169653:0.344602:0.169653:0.344602:0.153835:0.338187:0.153835:0.000000
F:@0.363385:0.169277:0.370937:0.169277:0.370937:0.152809:0.363385:0.152809:0.000000
:@0.365543:0.167137:0.371958:0.167137:0.371958:0.151319:0.365543:0.151319:0.000000
En la Figura 2.23. se muestran la recta   paralela al eje  , el foco :@0.108236:0.203863:0.554227:0.203863:0.554227:0.187366:0.108236:0.187366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.375001:0.203979:0.382842:0.203979:0.382842:0.187510:0.375001:0.187510:0.000000
Y:@0.485523:0.203979:0.495657:0.203979:0.495657:0.187510:0.485523:0.187510:0.000000
F:@0.108236:0.221330:0.115788:0.221330:0.115788:0.204861:0.108236:0.204861:0.000000
:@0.110394:0.219190:0.116809:0.219190:0.116809:0.203372:0.110394:0.203372:0.000000
 = ( , 0), la parábola  (0,  ) y       (0,  ).:@0.116713:0.221214:0.407347:0.221214:0.407347:0.204716:0.116713:0.204716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.141758:0.221330:0.148944:0.221330:0.148944:0.204861:0.141758:0.204861:0.000000
������:@0.259328:0.228800:0.272743:0.228800:0.272743:0.209801:0.259328:0.209801:0.000000:0.000000
:@0.279959:0.219190:0.286375:0.219190:0.286375:0.203372:0.279959:0.203372:0.000000
c:@0.293175:0.221330:0.300361:0.221330:0.300361:0.204861:0.293175:0.204861:0.000000
x:@0.326562:0.221330:0.334037:0.221330:0.334037:0.204861:0.326562:0.204861:0.000000
:@0.328257:0.221706:0.334673:0.221706:0.334673:0.205887:0.328257:0.205887:0.000000
:@0.338811:0.220695:0.353464:0.220695:0.353464:0.207322:0.338811:0.207322:0.000000
������:@0.357606:0.228800:0.371021:0.228800:0.371021:0.209801:0.357606:0.209801:0.000000:0.000000
:@0.378237:0.219190:0.384653:0.219190:0.384653:0.203372:0.378237:0.203372:0.000000
c:@0.391453:0.221330:0.398639:0.221330:0.398639:0.204861:0.391453:0.204861:0.000000
A continuación, obtenemos la ecuación cartesiana de la parábola. De :@0.108235:0.255915:0.599955:0.255915:0.599955:0.239418:0.108235:0.239418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la igualdad  ( ,  ) = ||  –  || se tiene: :@0.108235:0.273266:0.372419:0.273266:0.372419:0.256769:0.108235:0.256769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d x L:@0.188686:0.273382:0.226658:0.273382:0.226658:0.256913:0.188686:0.256913:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.205505:0.273758:0.211920:0.273758:0.211920:0.257940:0.205505:0.257940:0.000000
x:@0.261721:0.273382:0.269196:0.273382:0.269196:0.256913:0.261721:0.256913:0.000000
:@0.263416:0.273758:0.269832:0.273758:0.269832:0.257940:0.263416:0.257940:0.000000
F:@0.288615:0.273382:0.296167:0.273382:0.296167:0.256913:0.288615:0.256913:0.000000
:@0.290773:0.271242:0.297188:0.271242:0.297188:0.255424:0.290773:0.255424:0.000000
|  +  | =   (  –  )  + y:@0.275342:0.297745:0.423705:0.297745:0.423705:0.281247:0.275342:0.281248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.280351:0.297861:0.314103:0.297861:0.314103:0.281392:0.280351:0.281392:0.000000:0.000000:0.000000
x c:@0.352441:0.297861:0.385886:0.297861:0.385886:0.281392:0.352441:0.281392:0.000000:0.000000:0.000000
2:@0.391838:0.291393:0.396791:0.291393:0.396791:0.281775:0.391838:0.281775:0.000000
2:@0.423704:0.291393:0.428657:0.291393:0.428657:0.281775:0.423704:0.281775:0.000000
y elevando al cuadrado ambos miembros, resulta: :@0.108233:0.332446:0.462977:0.332446:0.462977:0.315948:0.108233:0.315948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  )  = (  –  )  –  ,:@0.274916:0.367148:0.429091:0.367148:0.429091:0.350650:0.274916:0.350650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.280869:0.367263:0.314622:0.367263:0.314622:0.350795:0.280869:0.350795:0.000000:0.000000:0.000000
2:@0.320566:0.360796:0.325520:0.360796:0.325520:0.351178:0.320566:0.351178:0.000000
x c:@0.350565:0.367263:0.384009:0.367263:0.384009:0.350795:0.350565:0.350795:0.000000:0.000000:0.000000
2:@0.389960:0.360796:0.394913:0.360796:0.394913:0.351178:0.389960:0.351178:0.000000
y:@0.413697:0.367263:0.421384:0.367263:0.421384:0.350795:0.413697:0.350795:0.000000
2:@0.421384:0.360796:0.426337:0.360796:0.426337:0.351178:0.421384:0.351178:0.000000
x:@0.239463:0.384614:0.246938:0.384614:0.246938:0.368145:0.239463:0.368145:0.000000
2:@0.246935:0.378147:0.251888:0.378147:0.251888:0.368528:0.246935:0.368528:0.000000
 + 2  +   =   – 2  +   +  .:@0.251888:0.384498:0.464541:0.384498:0.464541:0.368001:0.251888:0.368001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cx c:@0.279476:0.384614:0.320415:0.384614:0.320415:0.368145:0.279476:0.368145:0.000000:0.000000:0.000000:0.000000
2:@0.320412:0.378147:0.325365:0.378147:0.325365:0.368528:0.320412:0.368528:0.000000
x:@0.344458:0.384614:0.351933:0.384614:0.351933:0.368145:0.344458:0.368145:0.000000
2:@0.351932:0.378147:0.356885:0.378147:0.356885:0.368528:0.351932:0.368528:0.000000
cx c:@0.384165:0.384614:0.425104:0.384614:0.425104:0.368145:0.384165:0.368145:0.000000:0.000000:0.000000:0.000000
2:@0.425101:0.378147:0.430054:0.378147:0.430054:0.368528:0.425101:0.368528:0.000000
y:@0.449147:0.384614:0.456834:0.384614:0.456834:0.368145:0.449147:0.368145:0.000000
2:@0.456832:0.378147:0.461785:0.378147:0.461785:0.368528:0.456832:0.368528:0.000000
Aplicando la ley cancelativa (cancelando el término   +   en la últi-:@0.108230:0.419200:0.595790:0.419200:0.595790:0.402702:0.108230:0.402702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.480219:0.419316:0.487694:0.419316:0.487694:0.402847:0.480219:0.402847:0.000000
2:@0.487646:0.412848:0.492600:0.412848:0.492600:0.403230:0.487646:0.403230:0.000000
c:@0.512345:0.419316:0.519531:0.419316:0.519531:0.402847:0.512345:0.402847:0.000000
2:@0.519516:0.412848:0.524469:0.412848:0.524469:0.403230:0.519516:0.403230:0.000000
ma igualdad), se obtiene    = 4 .:@0.108225:0.436551:0.347603:0.436551:0.347603:0.420053:0.108225:0.420053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.289954:0.436666:0.297641:0.436666:0.297641:0.420198:0.289954:0.420198:0.000000
2:@0.297646:0.430199:0.302599:0.430199:0.302599:0.420581:0.297646:0.420581:0.000000
cx:@0.330187:0.436666:0.344848:0.436666:0.344848:0.420198:0.330187:0.420198:0.000000:0.000000
 :@0.108232:0.453901:0.112374:0.453901:0.112374:0.437404:0.108232:0.437404:0.000000
Así,   = ( ,  )    (0,  )     = 4  con lo que: :@0.108232:0.471252:0.437150:0.471252:0.437150:0.454754:0.108232:0.454754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.137342:0.471368:0.144817:0.471368:0.144817:0.454899:0.137342:0.454899:0.000000
:@0.139037:0.471744:0.145453:0.471744:0.145453:0.455926:0.139037:0.455926:0.000000
x y:@0.170498:0.471368:0.192556:0.471368:0.192556:0.454899:0.170498:0.454899:0.000000:0.000000:0.000000
:@0.202650:0.470733:0.217302:0.470733:0.217302:0.457360:0.202650:0.457360:0.000000
������:@0.221444:0.478839:0.234859:0.478839:0.234859:0.459839:0.221444:0.459839:0.000000:0.000000
:@0.242075:0.469228:0.248491:0.469228:0.248491:0.453410:0.242075:0.453410:0.000000
c:@0.255291:0.471368:0.262477:0.471368:0.262477:0.454899:0.255291:0.454899:0.000000
y:@0.292566:0.471368:0.300252:0.471368:0.300252:0.454899:0.292566:0.454899:0.000000
2:@0.300252:0.464900:0.305206:0.464900:0.305206:0.455282:0.300252:0.455282:0.000000
cx,:@0.332792:0.471368:0.350418:0.471368:0.350418:0.454899:0.332792:0.454899:0.000000:0.000000:0.000000
������:@0.240059:0.505100:0.253475:0.505100:0.253475:0.486101:0.240059:0.486101:0.000000:0.000000
(0,  ) = {( ,  )     |   = 4 }.:@0.253466:0.497513:0.463942:0.497513:0.463942:0.481016:0.253466:0.481016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.260691:0.495489:0.267106:0.495489:0.267106:0.479671:0.260691:0.479671:0.000000
c:@0.273907:0.497629:0.281093:0.497629:0.281093:0.481160:0.273907:0.481160:0.000000
x y:@0.317947:0.497629:0.340006:0.497629:0.340006:0.481160:0.317947:0.481160:0.000000:0.000000:0.000000
:@0.350097:0.496995:0.364750:0.496995:0.364750:0.483621:0.350097:0.483621:0.000000
:@0.368892:0.496426:0.382197:0.496426:0.382197:0.483564:0.368892:0.483564:0.000000
2:@0.382197:0.491160:0.387150:0.491160:0.387150:0.481542:0.382197:0.481542:0.000000
y:@0.400443:0.497629:0.408130:0.497629:0.408130:0.481160:0.400443:0.481160:0.000000
2:@0.408129:0.491160:0.413083:0.491160:0.413083:0.481542:0.408129:0.481542:0.000000
cx:@0.440669:0.497629:0.455330:0.497629:0.455330:0.481160:0.440669:0.481160:0.000000:0.000000
 :@0.108228:0.514864:0.112370:0.514864:0.112370:0.498366:0.108228:0.498366:0.000000
Como   > 0,   ≥ 0,       , la igualdad   = 4  tiene sentido, si y solo :@0.108228:0.532215:0.599855:0.532215:0.599855:0.515717:0.108228:0.515717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.156796:0.532331:0.163982:0.532331:0.163982:0.515862:0.156796:0.515862:0.000000
y:@0.196733:0.532331:0.204419:0.532331:0.204419:0.515862:0.196733:0.515862:0.000000
2:@0.204454:0.525929:0.209160:0.525929:0.209160:0.516328:0.204454:0.516328:0.000000
∀:@0.245507:0.539801:0.257080:0.539801:0.257080:0.520802:0.245507:0.520802:0.000000
y:@0.257086:0.532331:0.264773:0.532331:0.264773:0.515862:0.257086:0.515862:0.000000
:@0.268346:0.531696:0.282998:0.531696:0.282998:0.518323:0.268346:0.518323:0.000000
:@0.286569:0.531128:0.299874:0.531128:0.299874:0.518266:0.286569:0.518266:0.000000
y:@0.385489:0.532331:0.393175:0.532331:0.393175:0.515862:0.385489:0.515862:0.000000
2:@0.393198:0.525862:0.398151:0.525862:0.398151:0.516244:0.393198:0.516244:0.000000
cx:@0.424584:0.532331:0.439245:0.532331:0.439245:0.515862:0.424584:0.515862:0.000000:0.000000
si,   ≥ 0. La ecuación cartesiana ( ,  )    , tal que   = 4 , se llama :@0.108229:0.549566:0.599896:0.549566:0.599896:0.533068:0.108229:0.533068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.125818:0.549681:0.133293:0.549681:0.133293:0.533213:0.125818:0.533213:0.000000
x y:@0.341454:0.549681:0.364168:0.549681:0.364168:0.533213:0.341454:0.533213:0.000000:0.000000:0.000000
:@0.374914:0.549047:0.389567:0.549047:0.389567:0.535674:0.374914:0.535674:0.000000
:@0.394349:0.548479:0.407654:0.548479:0.407654:0.535617:0.394349:0.535617:0.000000
2:@0.407652:0.543214:0.412605:0.543214:0.412605:0.533596:0.407652:0.533596:0.000000
y:@0.474698:0.549681:0.482384:0.549681:0.482384:0.533213:0.474698:0.533213:0.000000
2:@0.482394:0.543214:0.487348:0.543214:0.487348:0.533596:0.482394:0.533596:0.000000
cx:@0.516208:0.549681:0.530868:0.549681:0.530868:0.533213:0.516208:0.533213:0.000000:0.000000
ecuación canónica de la parábola de directriz paralela al eje   y foco :@0.108227:0.566916:0.599969:0.566916:0.599969:0.550419:0.108227:0.550419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.536856:0.567032:0.546990:0.567032:0.546990:0.550563:0.536856:0.550563:0.000000
localizado en el eje  . El punto   = (0, 0)    (0,  ) se llama vértice de :@0.108227:0.584267:0.599901:0.584267:0.599901:0.567769:0.108227:0.567769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.245826:0.584383:0.255786:0.584383:0.255786:0.567914:0.245826:0.567914:0.000000
v:@0.327447:0.584383:0.335230:0.584383:0.335230:0.567914:0.327447:0.567914:0.000000
:@0.329450:0.584759:0.335865:0.584759:0.335865:0.568941:0.329450:0.568941:0.000000
:@0.395096:0.583749:0.409749:0.583749:0.409749:0.570375:0.395096:0.570375:0.000000
������:@0.413937:0.591854:0.427353:0.591854:0.427353:0.572854:0.413937:0.572854:0.000000:0.000000
:@0.434569:0.582243:0.440984:0.582243:0.440984:0.566425:0.434569:0.566425:0.000000
c:@0.447823:0.584383:0.455009:0.584383:0.455009:0.567914:0.447823:0.567914:0.000000
la parábola.:@0.108215:0.601618:0.189417:0.601618:0.189417:0.585120:0.108215:0.585120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.108215:0.636695:0.226194:0.636695:0.226194:0.619908:0.108215:0.619908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación ( ,  )    , tal que   =  , representa a una parábola de :@0.108215:0.653670:0.599930:0.653670:0.599930:0.637172:0.108215:0.637172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.204493:0.653786:0.227294:0.653786:0.227294:0.637317:0.204493:0.637317:0.000000:0.000000:0.000000
:@0.238141:0.653152:0.252794:0.653152:0.252794:0.639778:0.238141:0.639778:0.000000
:@0.257678:0.652583:0.270983:0.652583:0.270983:0.639721:0.257678:0.639721:0.000000
2:@0.270983:0.647318:0.275936:0.647318:0.275936:0.637700:0.270983:0.637700:0.000000
y:@0.338356:0.653786:0.346043:0.653786:0.346043:0.637317:0.338356:0.637317:0.000000
2:@0.346035:0.647318:0.350988:0.647318:0.350988:0.637700:0.346035:0.637700:0.000000
x:@0.371564:0.653786:0.379039:0.653786:0.379039:0.637317:0.371564:0.637317:0.000000
vértice   = (0, 0). Nota que la igualdad   =    tiene sentido en el con-:@0.108227:0.671021:0.595770:0.671021:0.595770:0.654523:0.108227:0.654523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.159916:0.671137:0.167699:0.671137:0.167699:0.654668:0.159916:0.654668:0.000000
:@0.161919:0.671513:0.168335:0.671513:0.168335:0.655694:0.161919:0.655694:0.000000
y:@0.381906:0.671137:0.389592:0.671137:0.389592:0.654668:0.381906:0.654668:0.000000
2:@0.389533:0.664668:0.394486:0.664668:0.394486:0.655050:0.389533:0.655050:0.000000
x:@0.413463:0.671137:0.420937:0.671137:0.420937:0.654668:0.413463:0.654668:0.000000
junto de los números reales si y solo si   ≥ 0.:@0.108243:0.688372:0.419527:0.688372:0.419527:0.671874:0.108243:0.671874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.381710:0.688487:0.389184:0.688487:0.389184:0.672019:0.381710:0.672019:0.000000
Determinemos las coordenadas del foco   = ( , 0). Se tiene 1 = 4 ,:@0.108243:0.723073:0.573884:0.723073:0.573884:0.706575:0.108243:0.706575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.398721:0.723189:0.406273:0.723189:0.406273:0.706720:0.398721:0.706720:0.000000
:@0.400882:0.721049:0.407298:0.721049:0.407298:0.705231:0.400882:0.705231:0.000000
c:@0.432246:0.723189:0.439432:0.723189:0.439432:0.706720:0.432246:0.706720:0.000000
c:@0.563943:0.723189:0.571129:0.723189:0.571129:0.706720:0.563943:0.706720:0.000000
donde   =      . La ecuación cartesiana de la directriz de la parábola:@0.108243:0.747552:0.576539:0.747552:0.576539:0.731055:0.108243:0.731055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.159277:0.747668:0.166463:0.747668:0.166463:0.731199:0.159277:0.731199:0.000000
������:@0.108233:0.786745:0.121648:0.786745:0.121648:0.767746:0.108233:0.767746:0.000000:0.000000
(0,     ) es    =      . En la Figura 2.24. se muestran la recta  , el foco   :@0.121640:0.779159:0.591462:0.779159:0.591462:0.762661:0.121640:0.762661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.128864:0.777135:0.135280:0.777135:0.135280:0.761316:0.128864:0.761316:0.000000
x:@0.191398:0.779275:0.198872:0.779275:0.198872:0.762806:0.191398:0.762806:0.000000
L:@0.512334:0.779275:0.520174:0.779275:0.520174:0.762806:0.512334:0.762806:0.000000
F:@0.578741:0.779275:0.586293:0.779275:0.586293:0.762806:0.578741:0.762806:0.000000
:@0.580904:0.777135:0.587320:0.777135:0.587320:0.761316:0.580904:0.761316:0.000000
y una porción de la parábola. :@0.108251:0.803638:0.318643:0.803638:0.318643:0.787140:0.108251:0.787140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la recta   es paralela al eje  , y tiene como ecuación cartesiana   =   :@0.108251:0.838339:0.599881:0.838339:0.599881:0.821842:0.108251:0.821842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.179031:0.838455:0.186872:0.838455:0.186872:0.821986:0.179031:0.821986:0.000000
Y:@0.306434:0.838455:0.316568:0.838455:0.316568:0.821986:0.306434:0.821986:0.000000
x c:@0.562641:0.838455:0.595739:0.838455:0.595739:0.821986:0.562641:0.821986:0.000000:0.000000:0.000000
con     :@0.108251:0.855690:0.169383:0.855690:0.169383:0.839192:0.108251:0.839192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.139306:0.855806:0.146492:0.855806:0.146492:0.839337:0.139306:0.839337:0.000000
:@0.150590:0.855171:0.165242:0.855171:0.165242:0.841798:0.150590:0.841798:0.000000
:@0.169352:0.854603:0.182657:0.854603:0.182657:0.841740:0.169352:0.841740:0.000000
+:@0.182656:0.849338:0.188956:0.849338:0.188956:0.839720:0.182656:0.839720:0.000000
, se deduce inmediatamente que la ecuación canónica de :@0.188958:0.855690:0.599865:0.855690:0.599865:0.839192:0.188958:0.839192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la parábola es   = 4 . Así,  (0, – ) = {( ,  )     |   = –4 }.:@0.108236:0.873040:0.544667:0.873040:0.544667:0.856543:0.108236:0.856543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.208895:0.873156:0.216582:0.873156:0.216582:0.856687:0.208895:0.856687:0.000000
2:@0.216579:0.866689:0.221532:0.866689:0.221532:0.857070:0.216579:0.857070:0.000000
cx:@0.249119:0.873156:0.263780:0.873156:0.263780:0.856687:0.249119:0.856687:0.000000:0.000000
������:@0.299785:0.880627:0.313200:0.880627:0.313200:0.861628:0.299785:0.861628:0.000000:0.000000
:@0.320416:0.871016:0.326832:0.871016:0.326832:0.855198:0.320416:0.855198:0.000000
c:@0.344132:0.873156:0.351318:0.873156:0.351318:0.856687:0.344132:0.856687:0.000000
x y:@0.388172:0.873156:0.410231:0.873156:0.410231:0.856687:0.388172:0.856687:0.000000:0.000000:0.000000
:@0.420324:0.872522:0.434976:0.872522:0.434976:0.859148:0.420324:0.859148:0.000000
:@0.439116:0.871953:0.452421:0.871953:0.452421:0.859091:0.439116:0.859091:0.000000
2:@0.452421:0.866689:0.457374:0.866689:0.457374:0.857070:0.452421:0.857070:0.000000
y:@0.470668:0.873156:0.478355:0.873156:0.478355:0.856687:0.470668:0.856687:0.000000
2:@0.478354:0.866689:0.483307:0.866689:0.483307:0.857070:0.478354:0.857070:0.000000
cx:@0.521395:0.873156:0.536056:0.873156:0.536056:0.856687:0.521395:0.856687:0.000000:0.000000
Como   > 0, la ecuación ( ,  )    , tal que   = –4 , tiene sentido en :@0.108232:0.907742:0.599933:0.907742:0.599933:0.891244:0.108232:0.891244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.156819:0.907857:0.164005:0.907857:0.164005:0.891389:0.156819:0.891389:0.000000
x y:@0.285896:0.907857:0.307358:0.907857:0.307358:0.891389:0.285896:0.891389:0.000000:0.000000:0.000000
:@0.316881:0.907223:0.331533:0.907223:0.331533:0.893850:0.316881:0.893850:0.000000
:@0.335107:0.906655:0.348412:0.906655:0.348412:0.893793:0.335107:0.893793:0.000000
2:@0.348412:0.901390:0.353365:0.901390:0.353365:0.891772:0.348412:0.891772:0.000000
y:@0.411855:0.907857:0.419542:0.907857:0.419542:0.891389:0.411855:0.891389:0.000000
2:@0.419534:0.901390:0.424488:0.901390:0.424488:0.891772:0.419534:0.891772:0.000000
cx:@0.461447:0.907857:0.476108:0.907857:0.476108:0.891389:0.461447:0.891389:0.000000:0.000000
:@0.108233:0.924006:0.121538:0.924006:0.121538:0.911144:0.108233:0.911144:0.000000
 si y solo si   ≤ 0. En la Figura 2.25. se muestra el conjunto  (0, – ).:@0.121538:0.925093:0.588711:0.925093:0.588711:0.908595:0.121538:0.908595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.199753:0.925208:0.207228:0.925208:0.207228:0.908740:0.199753:0.908740:0.000000
������:@0.528470:0.932679:0.541886:0.932679:0.541886:0.913680:0.528470:0.913680:0.000000:0.000000
:@0.549102:0.923069:0.555517:0.923069:0.555517:0.907250:0.549102:0.907250:0.000000
c:@0.572817:0.925208:0.580003:0.925208:0.580003:0.908740:0.572817:0.908740:0.000000
1:@0.191109:0.739863:0.199605:0.739863:0.199605:0.723365:0.191109:0.723365:0.000000
4:@0.191109:0.756202:0.199605:0.756202:0.199605:0.739704:0.191109:0.739704:0.000000
1:@0.223201:0.771415:0.231697:0.771415:0.231697:0.754917:0.223201:0.754917:0.000000
4:@0.223201:0.787754:0.231697:0.787754:0.231697:0.771256:0.223201:0.771256:0.000000
1:@0.145996:0.771415:0.154492:0.771415:0.154492:0.754917:0.145996:0.754917:0.000000
4:@0.145996:0.787754:0.154492:0.787754:0.154492:0.771256:0.145996:0.771256:0.000000
p:@0.628579:0.250427:0.640060:0.250427:0.640060:0.240402:0.628579:0.240402:0.000000
 :@0.640060:0.251135:0.642941:0.251135:0.642941:0.239658:0.640060:0.239658:0.000000
Figura 2.23.:@0.642941:0.251135:0.697420:0.251135:0.697420:0.239658:0.642941:0.239658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.697351:0.167649:0.703261:0.167649:0.703261:0.156172:0.697351:0.156172:0.000000
y:@0.692997:0.086776:0.699459:0.086776:0.699459:0.073147:0.692997:0.073147:0.000000
x:@0.839986:0.172058:0.846591:0.172058:0.846591:0.158430:0.839986:0.158430:0.000000
L:@0.649109:0.094280:0.655928:0.094280:0.655928:0.079959:0.649109:0.079959:0.000000
x:@0.641298:0.221560:0.647651:0.221560:0.647651:0.207562:0.641298:0.207562:0.000000
�:@0.641919:0.226505:0.647700:0.226505:0.647700:0.211824:0.641919:0.211824:0.000000
 = (– ,  ):@0.648409:0.221213:0.697922:0.221213:0.697922:0.208302:0.648409:0.208302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c y:@0.676226:0.221304:0.693264:0.221304:0.693264:0.208415:0.676226:0.208415:0.000000:0.000000:0.000000
x:@0.756377:0.187758:0.762730:0.187758:0.762730:0.173759:0.756377:0.173759:0.000000
�:@0.756998:0.192702:0.762779:0.192702:0.762779:0.178021:0.756998:0.178021:0.000000
 – :@0.763488:0.187411:0.778188:0.187411:0.778188:0.174500:0.763488:0.174500:0.000000:0.000000:0.000000
F:@0.778188:0.187491:0.784079:0.187491:0.784079:0.174646:0.778188:0.174646:0.000000
:@0.779871:0.185822:0.784875:0.185822:0.784875:0.173484:0.779871:0.173484:0.000000
F:@0.743581:0.155157:0.749472:0.155157:0.749472:0.142312:0.743581:0.142312:0.000000
:@0.745264:0.153488:0.750268:0.153488:0.750268:0.141150:0.745264:0.141150:0.000000
x:@0.757147:0.210950:0.762997:0.210950:0.762997:0.198061:0.757147:0.198061:0.000000
 :@0.758474:0.211244:0.767264:0.211244:0.767264:0.198865:0.758474:0.198865:0.000000:0.000000
= ( ,  ):@0.767264:0.210859:0.805545:0.210859:0.805545:0.197948:0.767264:0.197948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.783623:0.210950:0.800886:0.210950:0.800886:0.198061:0.783623:0.198061:0.000000:0.000000:0.000000
x:@0.688290:0.207782:0.694140:0.207782:0.694140:0.194893:0.688290:0.194893:0.000000
 :@0.689617:0.208076:0.698407:0.208076:0.698407:0.195696:0.689617:0.195696:0.000000:0.000000
– :@0.698407:0.207691:0.709865:0.207691:0.709865:0.194780:0.698407:0.194780:0.000000:0.000000
x:@0.709859:0.208037:0.716212:0.208037:0.716212:0.194038:0.709859:0.194038:0.000000
�:@0.710480:0.212981:0.716261:0.212981:0.716261:0.198300:0.710480:0.198300:0.000000
–c:@0.644063:0.168496:0.656045:0.168496:0.656045:0.157039:0.644063:0.157039:0.000000:0.000000
c:@0.756774:0.168496:0.761773:0.168496:0.761773:0.157039:0.756774:0.157039:0.000000
������:@0.784658:0.109957:0.795122:0.109957:0.795122:0.095138:0.784658:0.095138:0.000000:0.000000
(0,  ):@0.795115:0.104040:0.821938:0.104040:0.821938:0.091171:0.795115:0.091171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.811689:0.104130:0.817295:0.104130:0.817295:0.091284:0.811689:0.091284:0.000000
p:@0.629006:0.765070:0.640487:0.765070:0.640487:0.755046:0.629006:0.755046:0.000000
 :@0.640487:0.765778:0.643368:0.765778:0.643368:0.754301:0.640487:0.754301:0.000000
Figura 2.24.:@0.643368:0.765778:0.697847:0.765778:0.697847:0.754301:0.643368:0.754301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.680850:0.662126:0.687668:0.662126:0.687668:0.647805:0.680850:0.647805:0.000000
y:@0.794812:0.671279:0.800827:0.671279:0.800827:0.658391:0.794812:0.658391:0.000000
2:@0.800827:0.666217:0.804704:0.666217:0.804704:0.658690:0.800827:0.658690:0.000000
 = :@0.804704:0.671189:0.819645:0.671189:0.819645:0.658278:0.804704:0.658278:0.000000:0.000000:0.000000
x:@0.819645:0.671279:0.825495:0.671279:0.825495:0.658391:0.819645:0.658391:0.000000
0:@0.700295:0.710237:0.706205:0.710237:0.706205:0.698760:0.700295:0.698760:0.000000
y:@0.697616:0.645709:0.704077:0.645709:0.704077:0.632080:0.697616:0.632080:0.000000
x:@0.842934:0.714652:0.849538:0.714652:0.849538:0.701023:0.842934:0.701023:0.000000
1:@0.701829:0.667936:0.707739:0.667936:0.707739:0.656459:0.701829:0.656459:0.000000
1:@0.783983:0.710694:0.789893:0.710694:0.789893:0.699218:0.783983:0.699218:0.000000
–1:@0.635664:0.710694:0.648878:0.710694:0.648878:0.699218:0.635664:0.699218:0.000000:0.000000
–:@0.672908:0.714979:0.680212:0.714979:0.680212:0.703503:0.672908:0.703503:0.000000
–1:@0.696200:0.741503:0.709415:0.741503:0.709415:0.730027:0.696200:0.730027:0.000000:0.000000
1:@0.682209:0.709835:0.688181:0.709835:0.688181:0.698237:0.682209:0.698237:0.000000
4:@0.682209:0.720518:0.688181:0.720518:0.688181:0.708920:0.682209:0.708920:0.000000
1:@0.732216:0.710627:0.738189:0.710627:0.738189:0.699029:0.732216:0.699029:0.000000
4:@0.732216:0.721310:0.738189:0.721310:0.738189:0.709712:0.732216:0.709712:0.000000
F:@0.738003:0.698646:0.743893:0.698646:0.743893:0.685800:0.738003:0.685800:0.000000
:@0.739686:0.696977:0.744689:0.696977:0.744689:0.684639:0.739686:0.684639:0.000000
p:@0.629006:0.949140:0.640487:0.949140:0.640487:0.939115:0.629006:0.939115:0.000000
 :@0.640487:0.949847:0.643368:0.949847:0.643368:0.938371:0.640487:0.938371:0.000000
Figura 2.25.:@0.643368:0.949847:0.697847:0.949847:0.697847:0.938371:0.643368:0.938371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.705335:0.877726:0.711185:0.877726:0.711185:0.864837:0.705335:0.864837:0.000000
:@0.706662:0.878020:0.711683:0.878020:0.711683:0.865640:0.706662:0.865640:0.000000
 – :@0.711683:0.877635:0.726383:0.877635:0.726383:0.864724:0.711683:0.864724:0.000000:0.000000:0.000000
F:@0.726383:0.877716:0.732274:0.877716:0.732274:0.864870:0.726383:0.864870:0.000000
:@0.728066:0.876047:0.733070:0.876047:0.733070:0.863708:0.728066:0.863708:0.000000
0:@0.751492:0.864063:0.757402:0.864063:0.757402:0.852586:0.751492:0.852586:0.000000
y:@0.734210:0.787263:0.740671:0.787263:0.740671:0.773635:0.734210:0.773635:0.000000
x:@0.835969:0.878841:0.842574:0.878841:0.842574:0.865212:0.835969:0.865212:0.000000
L:@0.800779:0.799394:0.807597:0.799394:0.807597:0.785074:0.800779:0.785074:0.000000
c:@0.798246:0.873939:0.803245:0.873939:0.803245:0.862482:0.798246:0.862482:0.000000
–c:@0.672305:0.875384:0.684286:0.875384:0.684286:0.863928:0.672305:0.863928:0.000000:0.000000
F:@0.686908:0.863282:0.692798:0.863282:0.692798:0.850436:0.686908:0.850436:0.000000
:@0.688591:0.861613:0.693595:0.861613:0.693595:0.849275:0.688591:0.849275:0.000000
x:@0.660982:0.907148:0.666832:0.907148:0.666832:0.894259:0.660982:0.894259:0.000000
 :@0.662309:0.907442:0.671099:0.907442:0.671099:0.895063:0.662309:0.895063:0.000000:0.000000
= ( ,  ):@0.671099:0.907057:0.709379:0.907057:0.709379:0.894146:0.671099:0.894146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.687457:0.907148:0.704721:0.907148:0.704721:0.894259:0.687457:0.894259:0.000000:0.000000:0.000000
x:@0.798745:0.907498:0.805099:0.907498:0.805099:0.893500:0.798745:0.893500:0.000000
�:@0.799368:0.912443:0.805150:0.912443:0.805150:0.897762:0.799368:0.897762:0.000000
Matemática  :@0.686087:0.308155:0.778100:0.308155:0.778100:0.292683:0.686087:0.292683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Tecnología:@0.639544:0.323997:0.726910:0.323997:0.726910:0.308525:0.639544:0.308525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la geometría, la circunfe-:@0.639544:0.339417:0.817623:0.339417:0.817623:0.324353:0.639544:0.324353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rencia es uno de los elementos :@0.639544:0.355259:0.842054:0.355259:0.842054:0.340195:0.639544:0.340195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más importantes y presentes :@0.639544:0.371101:0.830322:0.371101:0.830322:0.356037:0.639544:0.356037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en nuestra vida. Aunque no :@0.639544:0.386943:0.823076:0.386943:0.823076:0.371879:0.639544:0.371879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo parezca, todos en algún :@0.639544:0.402785:0.812346:0.402785:0.812346:0.387721:0.639544:0.387721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
momento necesitamos de una :@0.639544:0.418627:0.842425:0.418627:0.842425:0.403563:0.639544:0.403563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunferencia, por ejemplo, :@0.639544:0.434469:0.822373:0.434469:0.822373:0.419405:0.639544:0.419405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el transporte, las ruedas :@0.639544:0.450311:0.815704:0.450311:0.815704:0.435247:0.639544:0.435247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los autos, de las bicicletas; :@0.639544:0.466153:0.829917:0.466153:0.829917:0.451089:0.639544:0.451089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en los parques de diversiones, :@0.639544:0.481995:0.834879:0.481995:0.834879:0.466931:0.639544:0.466931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las ruedas moscovitas; para :@0.639544:0.497836:0.819240:0.497836:0.819240:0.482773:0.639544:0.482773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
almacenar información, hoy :@0.639544:0.513678:0.823834:0.513678:0.823834:0.498615:0.639544:0.498615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en día utilizamos los CD; en las :@0.639544:0.529520:0.842249:0.529520:0.842249:0.514457:0.639544:0.514457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
canchas de fútbol, los relojes; :@0.639544:0.545362:0.831095:0.545362:0.831095:0.530299:0.639544:0.530299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el básquetbol, en el centro :@0.639544:0.561204:0.833329:0.561204:0.833329:0.546141:0.639544:0.546141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la cancha, está dibujada una :@0.639544:0.577046:0.845484:0.577046:0.845484:0.561983:0.639544:0.561983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunferencia; entre otros. En :@0.639544:0.592888:0.833788:0.592888:0.833788:0.577825:0.639544:0.577825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consecuencia, es importante es-:@0.639544:0.608730:0.847423:0.608730:0.847423:0.593667:0.639544:0.593667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tudiarla con mayor formalidad.:@0.639544:0.624572:0.839593:0.624572:0.839593:0.609509:0.639544:0.609509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.685849:0.279105:0.832634:0.279105:0.832634:0.263633:0.685849:0.263633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000