87:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
haz de rectas que pasan por ( ,  ), una de ellas tangente a  (0,  ) y :@0.108233:0.096194:0.599900:0.096194:0.599900:0.079697:0.108233:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.320686:0.096310:0.348756:0.096310:0.348756:0.079841:0.320686:0.079841:0.000000:0.000000:0.000000
0:@0.328195:0.099472:0.333149:0.099472:0.333149:0.089854:0.328195:0.089854:0.000000
0:@0.348762:0.099472:0.353715:0.099472:0.353715:0.089854:0.348762:0.089854:0.000000
������:@0.535883:0.103781:0.549299:0.103781:0.549299:0.084782:0.535883:0.084782:0.000000:0.000000
:@0.556515:0.094170:0.562930:0.094170:0.562930:0.078352:0.556515:0.078352:0.000000
c:@0.570193:0.096310:0.577379:0.096310:0.577379:0.079841:0.570193:0.079841:0.000000
( ,  )    . :@0.108231:0.113545:0.200194:0.113545:0.200194:0.097047:0.108231:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.114184:0.113661:0.141198:0.113661:0.141198:0.097192:0.114184:0.097192:0.000000:0.000000:0.000000
1:@0.121660:0.116823:0.126613:0.116823:0.126613:0.107205:0.121660:0.107205:0.000000
1:@0.141197:0.116823:0.146150:0.116823:0.146150:0.107205:0.141197:0.107205:0.000000
:@0.156245:0.113026:0.170898:0.113026:0.170898:0.099653:0.156245:0.099653:0.000000
:@0.175038:0.112458:0.188343:0.112458:0.188343:0.099596:0.175038:0.099596:0.000000
2:@0.188343:0.107193:0.193296:0.107193:0.193296:0.097575:0.188343:0.097575:0.000000
Notemos que ( ,  )   :@0.108241:0.145225:0.283906:0.145229:0.283906:0.128731:0.108241:0.128727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.219729:0.145340:0.248388:0.145345:0.248388:0.128876:0.219729:0.128871:0.000000:0.000000:0.000000
1:@0.227193:0.148507:0.232147:0.148507:0.232147:0.138889:0.227193:0.138889:0.000000
1:@0.248397:0.148507:0.253350:0.148507:0.253350:0.138889:0.248397:0.138889:0.000000
:@0.265111:0.144710:0.279763:0.144710:0.279763:0.131337:0.265111:0.131337:0.000000
:@0.285572:0.144142:0.298877:0.144142:0.298877:0.131280:0.285572:0.131280:0.000000
2:@0.298877:0.138877:0.303830:0.138877:0.303830:0.129259:0.298877:0.129259:0.000000
 es tal que   > 0 y   > 4:@0.303829:0.145229:0.495491:0.145229:0.495491:0.128731:0.303829:0.128731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.386446:0.145345:0.393921:0.145345:0.393921:0.128876:0.386446:0.128876:0.000000
1:@0.393912:0.148507:0.398865:0.148507:0.398865:0.138889:0.393912:0.138889:0.000000
y:@0.449234:0.145345:0.456921:0.145345:0.456921:0.128876:0.449234:0.128876:0.000000
1:@0.456911:0.148507:0.461864:0.148507:0.461864:0.138889:0.456911:0.138889:0.000000
2:@0.459618:0.138880:0.464571:0.138880:0.464571:0.129262:0.459618:0.129262:0.000000
cx:@0.495491:0.145345:0.510152:0.145345:0.510152:0.128876:0.495491:0.128876:0.000000:0.000000
1:@0.510152:0.148507:0.515105:0.148507:0.515105:0.138889:0.510152:0.138889:0.000000
. Un punto :@0.515104:0.145229:0.599909:0.145229:0.599909:0.128731:0.515104:0.128731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como este se denomina interior a la parábola.:@0.108241:0.162580:0.431779:0.162580:0.431779:0.146082:0.108241:0.146082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinemos, si existe, una recta   que pasa por el punto ( ,  ) y :@0.108241:0.194259:0.588091:0.194264:0.588091:0.177766:0.108241:0.177762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.354410:0.194375:0.362251:0.194375:0.362251:0.177906:0.354410:0.177906:0.000000
x y:@0.533517:0.194375:0.561080:0.194379:0.561080:0.177911:0.533517:0.177906:0.000000:0.000000:0.000000
0:@0.540981:0.197542:0.545934:0.197542:0.545934:0.187923:0.540981:0.187923:0.000000
0:@0.561079:0.197542:0.566032:0.197542:0.566032:0.187923:0.561079:0.187923:0.000000
es tangente a la parábola  (0,  ). Para el efecto, supongamos que la :@0.108232:0.211614:0.586718:0.211614:0.586718:0.195117:0.108232:0.195117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
������:@0.288418:0.219201:0.301834:0.219201:0.301834:0.200202:0.288418:0.200202:0.000000:0.000000
:@0.309050:0.209590:0.315465:0.209590:0.315465:0.193772:0.309050:0.193772:0.000000
c:@0.322266:0.211730:0.329452:0.211730:0.329452:0.195261:0.322266:0.195261:0.000000
ecuación cartesiana de la recta está definida como ( ,  )    , así, :@0.108229:0.228965:0.577244:0.228965:0.577244:0.212468:0.108229:0.212468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.476189:0.229081:0.498248:0.229081:0.498248:0.212612:0.476189:0.212612:0.000000:0.000000:0.000000
:@0.508346:0.228447:0.522998:0.228447:0.522998:0.215073:0.508346:0.215073:0.000000
:@0.527140:0.227878:0.540445:0.227878:0.540445:0.215016:0.527140:0.215016:0.000000
2:@0.540445:0.222613:0.545398:0.222613:0.545398:0.212995:0.540445:0.212995:0.000000
y y:@0.108231:0.246432:0.142389:0.246432:0.142389:0.229963:0.108231:0.229963:0.000000:0.000000:0.000000
 –   =  (  –  ), donde       es la pendiente. Entonces, :@0.115918:0.246316:0.530950:0.246316:0.530950:0.229818:0.115918:0.229818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.142390:0.249594:0.147343:0.249594:0.147343:0.239976:0.142390:0.239976:0.000000
m x x:@0.166435:0.246432:0.220917:0.246432:0.220917:0.229963:0.166435:0.229963:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.220915:0.249594:0.225868:0.249594:0.225868:0.239976:0.220915:0.239976:0.000000
m:@0.289750:0.246432:0.304546:0.246432:0.304546:0.229963:0.289750:0.229963:0.000000
:@0.308687:0.245797:0.323340:0.245797:0.323340:0.232424:0.308687:0.232424:0.000000
:@0.327482:0.245229:0.340786:0.245229:0.340786:0.232367:0.327482:0.232367:0.000000
y m x x:@0.108236:0.263782:0.189496:0.263782:0.189496:0.247314:0.108236:0.247314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =  (  –  ) +  , y reemplazando en la ecuación de la parábola :@0.115922:0.263667:0.567531:0.263667:0.567531:0.247169:0.115922:0.247169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.189492:0.266945:0.194445:0.266945:0.194445:0.257327:0.189492:0.257327:0.000000
y:@0.219491:0.263782:0.227178:0.263782:0.227178:0.247314:0.219491:0.247314:0.000000
0:@0.227177:0.266945:0.232130:0.266945:0.232130:0.257327:0.227177:0.257327:0.000000
y:@0.108234:0.281133:0.115921:0.281133:0.115921:0.264664:0.108234:0.264664:0.000000
2:@0.115920:0.274666:0.120873:0.274666:0.120873:0.265048:0.115920:0.265048:0.000000
 = 4 , se tiene (  +  (  –  ))  – 4  = 0.:@0.120873:0.281017:0.414688:0.281017:0.414688:0.264520:0.120873:0.264520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cx:@0.148461:0.281133:0.163121:0.281133:0.163121:0.264664:0.148461:0.264664:0.000000:0.000000
y:@0.234384:0.281133:0.242070:0.281133:0.242070:0.264664:0.234384:0.264664:0.000000
0:@0.242068:0.284295:0.247021:0.284295:0.247021:0.274677:0.242068:0.274677:0.000000
m x x:@0.266112:0.281133:0.320594:0.281133:0.320594:0.264664:0.266112:0.264664:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.320593:0.284295:0.325546:0.284295:0.325546:0.274677:0.320593:0.274677:0.000000
2:@0.337451:0.274666:0.342404:0.274666:0.342404:0.265048:0.337451:0.265048:0.000000
cx:@0.369684:0.281133:0.384345:0.281133:0.384345:0.264664:0.369684:0.264664:0.000000:0.000000
Procediendo en forma similar al desarrollo realizado en el problema 1, :@0.108236:0.312697:0.599843:0.312697:0.599843:0.296199:0.108236:0.296199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se obtiene la ecuación siguiente que permite hallar  .:@0.108236:0.330048:0.488721:0.330048:0.488721:0.313550:0.108236:0.313550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.471170:0.330163:0.485966:0.330163:0.485966:0.313695:0.471170:0.313695:0.000000
x m:@0.284127:0.347514:0.311341:0.347519:0.311341:0.331050:0.284127:0.331045:0.000000:0.000000:0.000000
0:@0.291593:0.350681:0.296546:0.350681:0.296546:0.341063:0.291593:0.341063:0.000000
2:@0.311341:0.341051:0.316294:0.341051:0.316294:0.331433:0.311341:0.331433:0.000000
 – :@0.316294:0.347403:0.335078:0.347403:0.335078:0.330905:0.316294:0.330905:0.000000:0.000000:0.000000
y m:@0.335078:0.347519:0.362513:0.347519:0.362513:0.331050:0.335078:0.331050:0.000000:0.000000:0.000000
0:@0.342763:0.350681:0.347716:0.350681:0.347716:0.341063:0.342763:0.341063:0.000000
 + c = 0,:@0.362513:0.347403:0.419885:0.347403:0.419885:0.330905:0.362513:0.330905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y como el discriminante de esta ecuación es positivo, es decir :@0.108231:0.379083:0.545987:0.379083:0.545987:0.362585:0.108231:0.362585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.108231:0.396549:0.117401:0.396549:0.117401:0.380080:0.108231:0.380080:0.000000
 = (– )  – 4:@0.117401:0.396433:0.203772:0.396438:0.203772:0.379940:0.117401:0.379936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.152945:0.396549:0.160632:0.396549:0.160632:0.380080:0.152945:0.380080:0.000000
0:@0.160635:0.399716:0.165588:0.399716:0.165588:0.390097:0.160635:0.390097:0.000000
2:@0.171540:0.390086:0.176494:0.390086:0.176494:0.380468:0.171540:0.380468:0.000000
cx:@0.203772:0.396553:0.218433:0.396553:0.218433:0.380085:0.203772:0.380085:0.000000:0.000000
0:@0.218432:0.399716:0.223385:0.399716:0.223385:0.390097:0.218432:0.390097:0.000000
 > 0, pues, por hipótesis, el punto ( ,  )    (0,  ) y :@0.223386:0.396438:0.593134:0.396438:0.593134:0.379940:0.223386:0.379940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.468629:0.396553:0.496199:0.396553:0.496199:0.380085:0.468629:0.380085:0.000000:0.000000:0.000000
0:@0.476102:0.399716:0.481055:0.399716:0.481055:0.390097:0.476102:0.390097:0.000000
0:@0.496200:0.399716:0.501153:0.399716:0.501153:0.390097:0.496200:0.390097:0.000000
:@0.511247:0.395919:0.525900:0.395919:0.525900:0.382546:0.511247:0.382546:0.000000
������:@0.530042:0.404024:0.543457:0.404024:0.543457:0.385025:0.530042:0.385025:0.000000:0.000000
:@0.550673:0.394413:0.557088:0.394413:0.557088:0.378595:0.550673:0.378595:0.000000
c:@0.563889:0.396553:0.571075:0.396553:0.571075:0.380085:0.563889:0.380085:0.000000
si   > 0,   > 4:@0.108227:0.413788:0.212277:0.413788:0.212277:0.397291:0.108227:0.397291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.122426:0.413904:0.129901:0.413904:0.129901:0.397435:0.122426:0.397435:0.000000
0:@0.129906:0.417066:0.134859:0.417066:0.134859:0.407448:0.129906:0.407448:0.000000
y:@0.169344:0.413904:0.177031:0.413904:0.177031:0.397435:0.169344:0.397435:0.000000
0:@0.177030:0.417066:0.181983:0.417066:0.181983:0.407448:0.177030:0.407448:0.000000
2:@0.179737:0.407440:0.184690:0.407440:0.184690:0.397822:0.179737:0.397822:0.000000
cx:@0.212277:0.413904:0.226938:0.413904:0.226938:0.397435:0.212277:0.397435:0.000000:0.000000
0:@0.226937:0.417066:0.231890:0.417066:0.231890:0.407448:0.226937:0.407448:0.000000
. Las raíces de la ecuación de segundo grado son: :@0.231891:0.413788:0.581106:0.413788:0.581106:0.397291:0.231891:0.397291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.108227:0.441940:0.123023:0.441940:0.123023:0.425471:0.108227:0.425471:0.000000
1:@0.123029:0.445109:0.127982:0.445109:0.127982:0.435491:0.123029:0.435491:0.000000
 =                              ,    :@0.127982:0.441831:0.286516:0.441831:0.286516:0.425334:0.127982:0.425334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.286516:0.441947:0.301312:0.441947:0.301312:0.425478:0.286516:0.425478:0.000000
2:@0.301308:0.445109:0.306261:0.445109:0.306261:0.435491:0.301308:0.435491:0.000000
 =                              .:@0.306261:0.441831:0.448227:0.441831:0.448227:0.425334:0.306261:0.425334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108234:0.459182:0.112376:0.459182:0.112376:0.442684:0.108234:0.442684:0.000000
Debemos probar que las rectas  ,   de las siguientes ecuaciones car-:@0.108234:0.476533:0.595765:0.476533:0.595765:0.460035:0.108234:0.460035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L L:@0.332630:0.476648:0.360110:0.476648:0.360110:0.460180:0.332630:0.460180:0.000000:0.000000:0.000000
1:@0.340477:0.479811:0.345430:0.479811:0.345430:0.470193:0.340477:0.470193:0.000000
2:@0.360110:0.479811:0.365064:0.479811:0.365064:0.470193:0.360110:0.470193:0.000000
tesianas que se definen a continuación::@0.108239:0.493884:0.385539:0.493884:0.385539:0.477386:0.108239:0.477386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L x y:@0.108239:0.523423:0.155935:0.523420:0.155935:0.506951:0.108239:0.506954:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.116074:0.526582:0.121027:0.526582:0.121027:0.516964:0.116074:0.516964:0.000000
: ( ,  )     tal que   –   = :@0.121027:0.523304:0.318711:0.523304:0.318711:0.506807:0.121027:0.506807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.166029:0.522786:0.180681:0.522786:0.180681:0.509412:0.166029:0.509412:0.000000
:@0.184823:0.522217:0.198128:0.522217:0.198128:0.509355:0.184823:0.509355:0.000000
2:@0.198128:0.516953:0.203081:0.516953:0.203081:0.507335:0.198128:0.507335:0.000000
y y:@0.260512:0.523420:0.294669:0.523420:0.294669:0.506951:0.260512:0.506951:0.000000:0.000000:0.000000
0:@0.294667:0.526582:0.299620:0.526582:0.299620:0.516964:0.294667:0.516964:0.000000
m x x:@0.318711:0.523420:0.378146:0.523420:0.378146:0.506951:0.318711:0.506951:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.333508:0.526582:0.338461:0.526582:0.338461:0.516964:0.333508:0.516964:0.000000
(  –  ), :@0.338460:0.523304:0.395948:0.523304:0.395948:0.506807:0.338460:0.506807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.378146:0.526582:0.383099:0.526582:0.383099:0.516964:0.378146:0.516964:0.000000
L x y:@0.108241:0.540771:0.155935:0.540771:0.155935:0.524302:0.108241:0.524302:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.116074:0.543933:0.121027:0.543933:0.121027:0.534315:0.116074:0.534315:0.000000
: ( ,  )     tal que   –   = :@0.121027:0.540655:0.318711:0.540655:0.318711:0.524157:0.121027:0.524157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.166029:0.540137:0.180681:0.540137:0.180681:0.526763:0.166029:0.526763:0.000000
:@0.184823:0.539568:0.198128:0.539568:0.198128:0.526706:0.184823:0.526706:0.000000
2:@0.198128:0.534303:0.203081:0.534303:0.203081:0.524685:0.198128:0.524685:0.000000
y y:@0.260512:0.540771:0.294669:0.540771:0.294669:0.524302:0.260512:0.524302:0.000000:0.000000:0.000000
0:@0.294667:0.543933:0.299620:0.543933:0.299620:0.534315:0.294667:0.534315:0.000000
m x x:@0.318711:0.540771:0.378146:0.540771:0.378146:0.524302:0.318711:0.524302:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.333508:0.543933:0.338461:0.543933:0.338461:0.534315:0.333508:0.534315:0.000000
(  –  ), :@0.338460:0.540655:0.395948:0.540655:0.395948:0.524157:0.338460:0.524157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.378146:0.543933:0.383099:0.543933:0.383099:0.534315:0.378146:0.534315:0.000000
son tangentes a la parábola  (0,  ). Para el efecto, debemos mostrar :@0.108241:0.570079:0.599902:0.570076:0.599902:0.553578:0.108241:0.553581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
������:@0.309811:0.577662:0.323227:0.577662:0.323227:0.558663:0.309811:0.558663:0.000000:0.000000
:@0.330443:0.568052:0.336858:0.568052:0.336858:0.552234:0.330443:0.552234:0.000000
c:@0.344410:0.570192:0.351596:0.570192:0.351596:0.553723:0.344410:0.553723:0.000000
que el sistema de ecuaciones:@0.108237:0.587427:0.312563:0.587427:0.312563:0.570929:0.108237:0.570929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )     tal que:@0.108237:0.619858:0.236677:0.619865:0.236677:0.603367:0.108237:0.603361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.114190:0.619974:0.136249:0.619974:0.136249:0.603505:0.114190:0.603505:0.000000:0.000000:0.000000
:@0.146338:0.619346:0.160991:0.619346:0.160991:0.605973:0.146338:0.605973:0.000000
:@0.165133:0.618778:0.178437:0.618778:0.178437:0.605916:0.165133:0.605916:0.000000
2:@0.178437:0.613513:0.183391:0.613513:0.183391:0.603895:0.178437:0.603895:0.000000
tiene una única solución ( ,  )    .:@0.108237:0.653815:0.364675:0.653812:0.364675:0.637315:0.108237:0.637317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.292719:0.653930:0.314778:0.653930:0.314778:0.637462:0.292719:0.637462:0.000000:0.000000:0.000000
:@0.324867:0.653294:0.339519:0.653294:0.339519:0.639920:0.324867:0.639920:0.000000
:@0.343661:0.652725:0.356966:0.652725:0.356966:0.639863:0.343661:0.639863:0.000000
2:@0.356966:0.647460:0.361919:0.647460:0.361919:0.637842:0.356966:0.637842:0.000000
De la segunda ecuación, se obtiene   =       . Reemplazando en la pri-:@0.108235:0.671163:0.595831:0.671163:0.595831:0.654665:0.108235:0.654665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.362241:0.671279:0.369716:0.671279:0.369716:0.654810:0.362241:0.654810:0.000000
mera, se tiene::@0.108235:0.688514:0.209106:0.688514:0.209106:0.672016:0.108235:0.672016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y y:@0.108235:0.718805:0.142392:0.718805:0.142392:0.702337:0.108235:0.702337:0.000000:0.000000:0.000000
 –   = :@0.115922:0.718690:0.166435:0.718689:0.166435:0.702191:0.115922:0.702192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.142390:0.721967:0.147343:0.721967:0.147343:0.712349:0.142390:0.712349:0.000000
m:@0.166435:0.718805:0.181231:0.718805:0.181231:0.702336:0.166435:0.702336:0.000000
1:@0.181230:0.721967:0.186183:0.721967:0.186183:0.712349:0.181230:0.712349:0.000000
        – x      :@0.186184:0.718689:0.279329:0.718689:0.279329:0.702191:0.186184:0.702191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.241956:0.721967:0.246909:0.721967:0.246909:0.712349:0.241956:0.712349:0.000000
m y:@0.279329:0.718805:0.306765:0.718805:0.306765:0.702336:0.279329:0.702336:0.000000:0.000000:0.000000
1:@0.294124:0.721967:0.299078:0.721967:0.299078:0.712349:0.294124:0.712349:0.000000
2:@0.306764:0.712337:0.311717:0.712337:0.311717:0.702719:0.306764:0.702719:0.000000
 – 4  + 4:@0.311718:0.718689:0.381304:0.718689:0.381304:0.702191:0.311718:0.702191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cy:@0.338997:0.718805:0.353716:0.718805:0.353716:0.702336:0.338997:0.702336:0.000000:0.000000
cy:@0.381304:0.718805:0.396022:0.718805:0.396022:0.702336:0.381304:0.702336:0.000000:0.000000
0:@0.396021:0.721967:0.400974:0.721967:0.400974:0.712349:0.396021:0.712349:0.000000
 – 4:@0.400973:0.718689:0.428252:0.718689:0.428252:0.702191:0.400973:0.702191:0.000000:0.000000:0.000000:0.000000
cx m:@0.428252:0.718805:0.462662:0.718805:0.462662:0.702336:0.428252:0.702336:0.000000:0.000000:0.000000:0.000000
0:@0.442912:0.721967:0.447866:0.721967:0.447866:0.712349:0.442912:0.712349:0.000000
1:@0.462662:0.721967:0.467615:0.721967:0.467615:0.712349:0.462662:0.712349:0.000000
 = 0.:@0.467614:0.718689:0.497957:0.718689:0.497957:0.702191:0.467614:0.702191:0.000000:0.000000:0.000000:0.000000:0.000000
Esta última ecuación de segundo grado con incógnita   tiene solu-:@0.108240:0.751120:0.595741:0.751120:0.595741:0.734623:0.108240:0.734623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.506256:0.751236:0.513943:0.751236:0.513943:0.734767:0.506256:0.734767:0.000000
ción en   si y solo si su discriminante es no negativo, es decir, :@0.108240:0.768471:0.546850:0.768478:0.546850:0.751980:0.108240:0.751973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.164968:0.767391:0.178273:0.767391:0.178273:0.754529:0.164968:0.754529:0.000000
d:@0.161300:0.793073:0.170471:0.793073:0.170471:0.776604:0.161300:0.776604:0.000000
 = 16  – 4:@0.170471:0.792957:0.245975:0.792958:0.245975:0.776460:0.170471:0.776459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.206555:0.793073:0.213740:0.793073:0.213740:0.776604:0.206555:0.776604:0.000000
2:@0.213741:0.786605:0.218695:0.786605:0.218695:0.776987:0.213741:0.776987:0.000000
m:@0.245975:0.793073:0.260770:0.793073:0.260770:0.776605:0.245975:0.776605:0.000000
1:@0.260770:0.796234:0.265724:0.796234:0.265724:0.786616:0.260770:0.786616:0.000000
(4:@0.265722:0.792958:0.280171:0.792958:0.280171:0.776460:0.265722:0.776460:0.000000:0.000000
cy:@0.280171:0.793073:0.294890:0.793073:0.294890:0.776605:0.280171:0.776605:0.000000:0.000000
0:@0.294890:0.796234:0.299843:0.796234:0.299843:0.786616:0.294890:0.786616:0.000000
 – 4:@0.299844:0.792958:0.327123:0.792958:0.327123:0.776460:0.299844:0.776460:0.000000:0.000000:0.000000:0.000000
cx m:@0.327123:0.793073:0.361531:0.793073:0.361531:0.776605:0.327123:0.776605:0.000000:0.000000:0.000000:0.000000
0:@0.341783:0.796234:0.346736:0.796234:0.346736:0.786616:0.341783:0.786616:0.000000
1:@0.361531:0.796234:0.366484:0.796234:0.366484:0.786616:0.361531:0.786616:0.000000
) = 16 (:@0.366485:0.792958:0.421660:0.792958:0.421660:0.776460:0.366485:0.776460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c x m:@0.408521:0.793073:0.448881:0.793073:0.448881:0.776605:0.408521:0.776605:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.429134:0.796234:0.434087:0.796234:0.434087:0.786616:0.429134:0.786616:0.000000
1:@0.448881:0.796234:0.453834:0.796234:0.453834:0.786616:0.448881:0.786616:0.000000
2:@0.451588:0.786608:0.456541:0.786608:0.456541:0.776990:0.451588:0.776990:0.000000
 – :@0.456542:0.792958:0.475326:0.792958:0.475326:0.776460:0.456542:0.776460:0.000000:0.000000:0.000000
m y:@0.475326:0.793073:0.502761:0.793073:0.502761:0.776605:0.475326:0.776605:0.000000:0.000000:0.000000
1 0:@0.490121:0.796234:0.507714:0.796234:0.507714:0.786616:0.490121:0.786616:0.000000:0.000000:0.000000
 +  ).:@0.507714:0.792958:0.542700:0.792958:0.542700:0.776460:0.507714:0.776460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.526806:0.793073:0.533992:0.793073:0.533992:0.776605:0.526806:0.776605:0.000000
Pero :@0.108230:0.826156:0.143832:0.826156:0.143832:0.809658:0.108230:0.809658:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.144680:0.826271:0.159475:0.826271:0.159475:0.809802:0.144680:0.809802:0.000000
1:@0.159470:0.829427:0.164423:0.829427:0.164423:0.819809:0.159470:0.819809:0.000000
 es solución de la segunda ecuación :@0.164424:0.826150:0.426842:0.826150:0.426842:0.809653:0.164424:0.809653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x m:@0.427664:0.826266:0.454880:0.826266:0.454880:0.809797:0.427664:0.809797:0.000000:0.000000:0.000000
0:@0.435131:0.829427:0.440084:0.829427:0.440084:0.819809:0.435131:0.819809:0.000000
2:@0.454880:0.819797:0.459834:0.819797:0.459834:0.810179:0.454880:0.810179:0.000000
 – :@0.459834:0.826150:0.479456:0.826150:0.479456:0.809653:0.459834:0.809653:0.000000:0.000000:0.000000
my:@0.480294:0.826266:0.502757:0.826266:0.502757:0.809797:0.480294:0.809797:0.000000:0.000000
0:@0.502759:0.829427:0.507712:0.829427:0.507712:0.819809:0.502759:0.819809:0.000000
 +   = 0, en-:@0.507711:0.826150:0.595791:0.826150:0.595791:0.809653:0.507711:0.809653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.528488:0.826266:0.535674:0.826266:0.535674:0.809797:0.528488:0.809797:0.000000
tonces   = 0. Consecuentemente,:@0.108226:0.843501:0.345954:0.843501:0.345954:0.827004:0.108226:0.827004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.159722:0.843617:0.168893:0.843617:0.168893:0.827148:0.159722:0.827148:0.000000
y:@0.290880:0.868096:0.298567:0.868096:0.298567:0.851627:0.290880:0.851627:0.000000
 =          =  2       .:@0.298567:0.867980:0.413118:0.867980:0.413118:0.851483:0.298567:0.851483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego,   =       =         2          =         . El punto de tangencia es  :@0.108226:0.902682:0.545182:0.902682:0.545182:0.886184:0.108226:0.886184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.158335:0.902797:0.165810:0.902797:0.165810:0.886329:0.158335:0.886329:0.000000
         , 2         =                 , 2  . En forma similar se procede con :@0.108226:0.940940:0.539631:0.940940:0.539631:0.924442:0.108226:0.924442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.539631:0.941056:0.554427:0.941056:0.554427:0.924587:0.539631:0.924587:0.000000
2:@0.554428:0.944224:0.559381:0.944224:0.559381:0.934606:0.554428:0.934606:0.000000
.:@0.559382:0.940947:0.562137:0.940947:0.562137:0.924449:0.559382:0.924449:0.000000
p:@0.629006:0.264257:0.640487:0.264257:0.640487:0.254233:0.629006:0.254233:0.000000
 :@0.640487:0.264965:0.643368:0.264965:0.643368:0.253488:0.640487:0.253488:0.000000
Figura 2.29.:@0.643368:0.264965:0.697847:0.264965:0.697847:0.253488:0.643368:0.253488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.154131:0.434079:0.161818:0.434079:0.161818:0.417610:0.154131:0.417610:0.000000
0:@0.161819:0.435355:0.166772:0.435355:0.166772:0.425737:0.161819:0.425737:0.000000
 –     – 4:@0.166771:0.433963:0.236464:0.433963:0.236464:0.417465:0.166771:0.417465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.193839:0.434079:0.201525:0.434079:0.201525:0.417610:0.193839:0.417610:0.000000
0:@0.201525:0.435355:0.206479:0.435355:0.206479:0.425737:0.201525:0.425737:0.000000
2:@0.204232:0.427608:0.209186:0.427608:0.209186:0.417990:0.204232:0.417990:0.000000
cx:@0.236464:0.434079:0.251125:0.434079:0.251125:0.417610:0.236464:0.417610:0.000000:0.000000
0:@0.251124:0.435355:0.256077:0.435355:0.256077:0.425737:0.251124:0.425737:0.000000
2:@0.194644:0.450308:0.203140:0.450308:0.203140:0.433810:0.194644:0.433810:0.000000
x:@0.203140:0.450424:0.210614:0.450424:0.210614:0.433955:0.203140:0.433955:0.000000
0:@0.210614:0.452329:0.215567:0.452329:0.215567:0.442711:0.210614:0.442711:0.000000
y:@0.392295:0.663680:0.399982:0.663680:0.399982:0.647211:0.392295:0.647211:0.000000
2:@0.399981:0.657212:0.404934:0.657212:0.404934:0.647594:0.399981:0.647594:0.000000
4:@0.390774:0.679909:0.399270:0.679909:0.399270:0.663411:0.390774:0.663411:0.000000
c:@0.399270:0.680024:0.406456:0.680024:0.406456:0.663556:0.399270:0.663556:0.000000
y:@0.198019:0.711574:0.205706:0.711574:0.205706:0.695105:0.198019:0.695105:0.000000
2:@0.205707:0.705106:0.210660:0.705106:0.210660:0.695488:0.205707:0.695488:0.000000
4:@0.196500:0.727803:0.204996:0.727803:0.204996:0.711305:0.196500:0.711305:0.000000
c:@0.204996:0.727919:0.212182:0.727919:0.212182:0.711450:0.204996:0.711450:0.000000
4:@0.325875:0.860931:0.334371:0.860931:0.334371:0.844434:0.325875:0.844434:0.000000
c:@0.334371:0.861047:0.341557:0.861047:0.341557:0.844578:0.334371:0.844578:0.000000
2:@0.319595:0.877270:0.328091:0.877270:0.328091:0.860772:0.319595:0.860772:0.000000
m:@0.328091:0.877385:0.342886:0.877385:0.342886:0.860917:0.328091:0.860917:0.000000
1:@0.342886:0.878667:0.347839:0.878667:0.347839:0.869049:0.342886:0.869049:0.000000
c:@0.393096:0.861047:0.400282:0.861047:0.400282:0.844578:0.393096:0.844578:0.000000
m:@0.386815:0.877385:0.401611:0.877385:0.401611:0.860917:0.386815:0.860917:0.000000
1:@0.401609:0.878667:0.406563:0.878667:0.406563:0.869049:0.401609:0.869049:0.000000
y:@0.333003:0.434079:0.340690:0.434079:0.340690:0.417610:0.333003:0.417610:0.000000
0:@0.340691:0.435355:0.345644:0.435355:0.345644:0.425737:0.340691:0.425737:0.000000
 +     – 4:@0.345643:0.433963:0.415645:0.433963:0.415645:0.417465:0.345643:0.417465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.373019:0.434079:0.380706:0.434079:0.380706:0.417610:0.373019:0.417610:0.000000
0:@0.380706:0.435355:0.385659:0.435355:0.385659:0.425737:0.380706:0.425737:0.000000
2:@0.383413:0.427608:0.388366:0.427608:0.388366:0.417990:0.383413:0.417990:0.000000
cx:@0.415645:0.434079:0.430305:0.434079:0.430305:0.417610:0.415645:0.417610:0.000000:0.000000
0:@0.430305:0.435355:0.435258:0.435355:0.435258:0.425737:0.430305:0.425737:0.000000
2:@0.373670:0.450308:0.382166:0.450308:0.382166:0.433810:0.373670:0.433810:0.000000
x:@0.382166:0.450424:0.389641:0.450424:0.389641:0.433955:0.382166:0.433955:0.000000
0:@0.389640:0.452329:0.394593:0.452329:0.394593:0.442711:0.389640:0.442711:0.000000
y y:@0.261772:0.612902:0.295929:0.612902:0.295929:0.596433:0.261772:0.596433:0.000000:0.000000:0.000000
 –   = :@0.269459:0.612786:0.319974:0.612786:0.319974:0.596289:0.269459:0.596289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.295929:0.616064:0.300882:0.616064:0.300882:0.606446:0.295929:0.606446:0.000000
m x x:@0.319974:0.612902:0.379409:0.612902:0.379409:0.596433:0.319974:0.596433:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.334769:0.616064:0.339722:0.616064:0.339722:0.606446:0.334769:0.606446:0.000000
(  –  ),:@0.339723:0.612786:0.393069:0.612786:0.393069:0.596289:0.339723:0.596289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.379407:0.616064:0.384361:0.616064:0.384361:0.606446:0.379407:0.606446:0.000000
y:@0.261776:0.630253:0.269463:0.630253:0.269463:0.613784:0.261776:0.613784:0.000000
2:@0.269460:0.623785:0.274413:0.623785:0.274413:0.614167:0.269460:0.614167:0.000000
 – 4  = 0,:@0.274412:0.630137:0.346695:0.630137:0.346695:0.613640:0.274412:0.613640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cx:@0.301691:0.630253:0.316352:0.630253:0.316352:0.613784:0.301691:0.613784:0.000000:0.000000
y:@0.189526:0.895439:0.197213:0.895439:0.197213:0.878970:0.189526:0.878970:0.000000
2:@0.197212:0.888972:0.202165:0.888972:0.202165:0.879354:0.197212:0.879354:0.000000
4:@0.188005:0.911668:0.196501:0.911668:0.196501:0.895171:0.188005:0.895171:0.000000
c:@0.196501:0.911784:0.203687:0.911784:0.203687:0.895315:0.196501:0.895315:0.000000
1:@0.231975:0.895323:0.240471:0.895323:0.240471:0.878826:0.231975:0.878826:0.000000
4:@0.228391:0.911662:0.236887:0.911662:0.236887:0.895164:0.228391:0.895164:0.000000
c:@0.236887:0.911778:0.244073:0.911778:0.244073:0.895309:0.236887:0.895309:0.000000
c:@0.276699:0.895439:0.283884:0.895439:0.283884:0.878970:0.276699:0.878970:0.000000
m:@0.270418:0.911778:0.285214:0.911778:0.285214:0.895309:0.270418:0.895309:0.000000
1:@0.285214:0.913060:0.290167:0.913060:0.290167:0.903442:0.285214:0.903442:0.000000
c:@0.171093:0.933872:0.178279:0.933872:0.178279:0.917403:0.171093:0.917403:0.000000
m:@0.164813:0.950210:0.179608:0.950210:0.179608:0.933742:0.164813:0.933742:0.000000
1:@0.179608:0.951492:0.184561:0.951492:0.184561:0.941874:0.179608:0.941874:0.000000
c:@0.223870:0.933872:0.231056:0.933872:0.231056:0.917403:0.223870:0.917403:0.000000
m:@0.217589:0.950210:0.232385:0.950210:0.232385:0.933742:0.217589:0.933742:0.000000
1:@0.232385:0.951492:0.237338:0.951492:0.237338:0.941874:0.232385:0.941874:0.000000
1:@0.260063:0.933756:0.268559:0.933756:0.268559:0.917258:0.260063:0.917258:0.000000
m:@0.254438:0.950210:0.269234:0.950210:0.269234:0.933742:0.254438:0.933742:0.000000
1:@0.269232:0.951492:0.274185:0.951492:0.274185:0.941874:0.269232:0.941874:0.000000
c:@0.334159:0.895439:0.341345:0.895439:0.341345:0.878970:0.334159:0.878970:0.000000
m:@0.326800:0.911778:0.341596:0.911778:0.341596:0.895309:0.326800:0.895309:0.000000
1:@0.341601:0.913060:0.346554:0.913060:0.346554:0.903442:0.341601:0.903442:0.000000
2:@0.343746:0.905313:0.348699:0.905313:0.348699:0.895695:0.343746:0.895695:0.000000
2:@0.301437:0.888972:0.306390:0.888972:0.306390:0.879354:0.301437:0.879354:0.000000
c:@0.125704:0.933872:0.132890:0.933872:0.132890:0.917403:0.125704:0.917403:0.000000
m:@0.118345:0.950210:0.133141:0.950210:0.133141:0.933742:0.118345:0.933742:0.000000
1:@0.133146:0.951492:0.138099:0.951492:0.138099:0.941874:0.133146:0.941874:0.000000
2:@0.135291:0.943746:0.140244:0.943746:0.140244:0.934127:0.135291:0.934127:0.000000
( ,  ):@0.657470:0.168535:0.687988:0.168535:0.687988:0.157058:0.657470:0.157058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.661612:0.168615:0.680401:0.168615:0.680401:0.157159:0.661612:0.157159:0.000000:0.000000:0.000000
0:@0.666810:0.170815:0.670256:0.170815:0.670256:0.164124:0.666810:0.164124:0.000000
0:@0.680401:0.170815:0.683847:0.170815:0.683847:0.164124:0.680401:0.164124:0.000000
( ,  ):@0.810401:0.172126:0.840923:0.172125:0.840923:0.160648:0.810401:0.160649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.814543:0.172206:0.833337:0.172205:0.833337:0.160748:0.814543:0.160750:0.000000:0.000000:0.000000
1:@0.819746:0.174404:0.823192:0.174404:0.823192:0.167714:0.819746:0.167714:0.000000
1:@0.833335:0.174404:0.836781:0.174404:0.836781:0.167714:0.833335:0.167714:0.000000
y:@0.726365:0.128499:0.732826:0.128499:0.732826:0.114871:0.726365:0.114871:0.000000
x:@0.841524:0.201217:0.848129:0.201217:0.848129:0.187588:0.841524:0.187588:0.000000
0:@0.747371:0.196507:0.754020:0.196507:0.754020:0.183596:0.747371:0.183596:0.000000
y:@0.789494:0.221104:0.796179:0.221104:0.796179:0.206783:0.789494:0.206783:0.000000
2:@0.796179:0.215480:0.800486:0.215480:0.800486:0.207116:0.796179:0.207116:0.000000
 = 4:@0.800486:0.221003:0.824475:0.221003:0.824475:0.206658:0.800486:0.206658:0.000000:0.000000:0.000000:0.000000
cx:@0.824475:0.221104:0.837224:0.221104:0.837224:0.206783:0.824475:0.206783:0.000000:0.000000
L:@0.639763:0.183347:0.646581:0.183347:0.646581:0.169027:0.639763:0.169027:0.000000
2:@0.646576:0.186099:0.650883:0.186099:0.650883:0.177735:0.646576:0.177735:0.000000
L:@0.810386:0.250224:0.817205:0.250224:0.817205:0.235904:0.810386:0.235904:0.000000
L:@0.651791:0.232936:0.658610:0.232936:0.658610:0.218616:0.651791:0.218616:0.000000
1:@0.658611:0.235684:0.662918:0.235684:0.662918:0.227321:0.658611:0.227321:0.000000
Competencia :@0.684804:0.367894:0.782426:0.367894:0.782426:0.352422:0.684804:0.352422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684804:0.380462:0.768866:0.380462:0.768866:0.364990:0.684804:0.364990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Otra forma de presen-:@0.685042:0.404936:0.830247:0.404936:0.830247:0.389873:0.685042:0.389873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tar la ecuación canónica de la :@0.638498:0.420778:0.834572:0.420778:0.834572:0.405715:0.638498:0.405715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola es::@0.638498:0.436620:0.714978:0.436620:0.714978:0.421557:0.638498:0.421557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación canónica de la :@0.638498:0.460013:0.809487:0.460013:0.809487:0.444541:0.638498:0.444541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola:@0.638498:0.475855:0.701045:0.475855:0.701045:0.460383:0.638498:0.460383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación de la parábola de :@0.638498:0.498404:0.829855:0.498404:0.829855:0.483340:0.638498:0.483340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vértice   = (0, 0) y eje focal :@0.638498:0.514246:0.812147:0.514246:0.812147:0.499182:0.638498:0.499182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.684338:0.514351:0.694153:0.514351:0.694153:0.499314:0.684338:0.499314:0.000000
y:@0.638498:0.530193:0.645517:0.530193:0.645517:0.515156:0.638498:0.515156:0.000000
 = 0, (eje  ) es:   = 4  donde::@0.645341:0.530088:0.833613:0.530086:0.833613:0.515023:0.645341:0.515024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.702280:0.530193:0.709105:0.530193:0.709105:0.515156:0.702280:0.515156:0.000000
y:@0.736772:0.530193:0.743790:0.530193:0.743790:0.515156:0.736772:0.515156:0.000000
2:@0.743618:0.524287:0.748140:0.524287:0.748140:0.515505:0.743618:0.515505:0.000000
cx:@0.772524:0.530192:0.785734:0.530192:0.785734:0.515155:0.772524:0.515155:0.000000:0.000000
> ⇒:@0.652585:0.555186:0.695319:0.555186:0.695319:0.539613:0.652585:0.539613:0.000000:0.000000:0.000000
c:@0.641474:0.554509:0.649139:0.554509:0.649139:0.539116:0.641474:0.539116:0.000000
0:@0.665245:0.554509:0.674238:0.554509:0.674238:0.538839:0.665245:0.538839:0.000000
 Las ramas de la pará-:@0.700779:0.554418:0.839757:0.554418:0.839757:0.539354:0.700779:0.539354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bola apuntan hacia la derecha. :@0.638510:0.570260:0.839617:0.570260:0.839617:0.555196:0.638510:0.555196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
< ⇒:@0.652585:0.588231:0.695319:0.588231:0.695319:0.572658:0.652585:0.572658:0.000000:0.000000:0.000000
c:@0.641474:0.587553:0.649139:0.587553:0.649139:0.572160:0.641474:0.572160:0.000000
0:@0.665245:0.587553:0.674238:0.587553:0.674238:0.571883:0.665245:0.571883:0.000000
 Las ramas de la pará-:@0.700779:0.587462:0.839757:0.587462:0.839757:0.572399:0.700779:0.572399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bola apuntan hacia la izquierda.:@0.638510:0.603304:0.842976:0.603304:0.842976:0.588241:0.638510:0.588241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La expresión canónica de la :@0.638510:0.626275:0.820706:0.626275:0.820706:0.611212:0.638510:0.611212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola vertical con   (0, 0) y :@0.638510:0.642117:0.839246:0.642117:0.839246:0.627054:0.638510:0.627054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.778261:0.642222:0.788076:0.642222:0.788076:0.627186:0.778261:0.627186:0.000000
eje focal  = 0 (eje  ) es:  :@0.638510:0.657959:0.798263:0.657959:0.798263:0.642896:0.638510:0.642896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.691597:0.658064:0.702204:0.658064:0.702204:0.643028:0.691597:0.643028:0.000000:0.000000
y:@0.758562:0.658064:0.765580:0.658064:0.765580:0.643028:0.758562:0.643028:0.000000
x:@0.638510:0.673906:0.645335:0.673906:0.645335:0.658870:0.638510:0.658870:0.000000
2:@0.645328:0.668000:0.649851:0.668000:0.649851:0.659218:0.645328:0.659218:0.000000
 = 4 .:@0.649851:0.673800:0.690994:0.673800:0.690994:0.658736:0.649851:0.658736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cy:@0.675040:0.673905:0.688479:0.673905:0.688479:0.658868:0.675040:0.658868:0.000000:0.000000
Donde::@0.638506:0.696770:0.686298:0.696770:0.686298:0.681707:0.638506:0.681707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
> ⇒:@0.652585:0.721869:0.695319:0.721869:0.695319:0.706296:0.652585:0.706296:0.000000:0.000000:0.000000
c:@0.641474:0.721192:0.649139:0.721192:0.649139:0.705798:0.641474:0.705798:0.000000
0:@0.665245:0.721192:0.674238:0.721192:0.674238:0.705522:0.665245:0.705522:0.000000
 Las ramas de la pará-:@0.700779:0.721100:0.839757:0.721100:0.839757:0.706037:0.700779:0.706037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bola apuntan hacia la arriba. :@0.638510:0.736942:0.824876:0.736942:0.824876:0.721879:0.638510:0.721879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
< ⇒:@0.652585:0.754915:0.695319:0.754915:0.695319:0.739342:0.652585:0.739342:0.000000:0.000000:0.000000
c:@0.641474:0.754237:0.649139:0.754237:0.649139:0.738844:0.641474:0.738844:0.000000
0:@0.665245:0.754237:0.674238:0.754237:0.674238:0.738568:0.665245:0.738568:0.000000
 Las ramas de la pará-:@0.700779:0.755403:0.839757:0.755403:0.839757:0.740340:0.700779:0.740340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bola apuntan hacia la abajo.:@0.638510:0.771245:0.818825:0.771245:0.818825:0.756182:0.638510:0.756182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Coordenadas del foco:  (0,  ) :@0.638510:0.794216:0.829694:0.794216:0.829694:0.779153:0.638510:0.779153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.787531:0.794322:0.794426:0.794322:0.794426:0.779285:0.787531:0.779285:0.000000
c:@0.813916:0.794322:0.820477:0.794322:0.820477:0.779285:0.813916:0.779285:0.000000
y la ecuación de la directriz   :@0.638510:0.810058:0.827988:0.810058:0.827988:0.794995:0.638510:0.794995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.817188:0.810164:0.824206:0.810164:0.824206:0.795127:0.817188:0.795127:0.000000
= – .:@0.638510:0.825900:0.670823:0.825900:0.670823:0.810837:0.638510:0.810837:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.661746:0.826006:0.668308:0.826006:0.668308:0.810969:0.661746:0.810969:0.000000
La ecuación de la parábola con :@0.638510:0.848871:0.837991:0.848871:0.837991:0.833808:0.638510:0.833808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vértice fuera del origen es::@0.638510:0.864713:0.801585:0.864713:0.801585:0.849650:0.638510:0.849650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Horizontal: (  –  )  = ±4 (  –  ):@0.638510:0.887684:0.832668:0.887682:0.832668:0.872618:0.638510:0.872621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y k:@0.712898:0.887790:0.742696:0.887790:0.742696:0.872753:0.712898:0.872753:0.000000:0.000000:0.000000
2:@0.747173:0.881881:0.751695:0.881881:0.751695:0.873099:0.747173:0.873099:0.000000
p x h:@0.784102:0.887787:0.827707:0.887787:0.827707:0.872750:0.784102:0.872750:0.000000:0.000000:0.000000:0.000000:0.000000
Vertical: (  –  )  = ±4 (  –  ):@0.638509:0.910652:0.828072:0.910651:0.828072:0.895588:0.638509:0.895589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x h:@0.699476:0.910758:0.732035:0.910758:0.732035:0.895721:0.699476:0.895721:0.000000:0.000000:0.000000
2:@0.737463:0.904851:0.741986:0.904851:0.741986:0.896069:0.737463:0.896069:0.000000
p y k:@0.777043:0.910757:0.822637:0.910757:0.822637:0.895720:0.777043:0.895720:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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