98:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000
p:@0.143917:0.274798:0.155398:0.274798:0.155398:0.264774:0.143917:0.264774:0.000000
 :@0.155398:0.275506:0.158279:0.275506:0.158279:0.264029:0.155398:0.264029:0.000000
Figura 2.36.:@0.158279:0.275506:0.212758:0.275506:0.212758:0.264029:0.158279:0.264029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 1:@0.256075:0.218511:0.272159:0.217788:0.272159:0.209181:0.256075:0.209904:0.000000:0.000000:0.000000
y:@0.239940:0.159403:0.246402:0.159403:0.246402:0.145774:0.239940:0.145774:0.000000
x:@0.351758:0.224571:0.358362:0.224571:0.358362:0.210942:0.351758:0.210942:0.000000
–5 –4 –3 –2 –1 –1:@0.174524:0.217788:0.251453:0.220195:0.251453:0.211587:0.174524:0.209181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.282919:0.217788:0.287351:0.217788:0.287351:0.209181:0.282919:0.209181:0.000000
3:@0.298106:0.217788:0.302539:0.217788:0.302539:0.209181:0.298106:0.209181:0.000000
4:@0.313294:0.217788:0.317727:0.217788:0.317727:0.209181:0.313294:0.209181:0.000000
5:@0.328482:0.217788:0.332915:0.217788:0.332915:0.209181:0.328482:0.209181:0.000000
1:@0.247020:0.205107:0.251453:0.205107:0.251453:0.196500:0.247020:0.196500:0.000000
–2:@0.241542:0.227859:0.251453:0.227859:0.251453:0.219252:0.241542:0.219252:0.000000:0.000000
–3:@0.241542:0.235524:0.251453:0.235524:0.251453:0.226916:0.241542:0.226916:0.000000:0.000000
–4:@0.241542:0.243188:0.251453:0.243188:0.251453:0.234581:0.241542:0.234581:0.000000:0.000000
–5:@0.241542:0.250853:0.251453:0.250853:0.251453:0.242245:0.241542:0.242245:0.000000:0.000000
2:@0.247020:0.197450:0.251453:0.197450:0.251453:0.188843:0.247020:0.188843:0.000000
3:@0.247020:0.189786:0.251453:0.189786:0.251453:0.181178:0.247020:0.181178:0.000000
4:@0.247020:0.182121:0.251453:0.182121:0.251453:0.173514:0.247020:0.173514:0.000000
5:@0.247020:0.174457:0.251453:0.174457:0.251453:0.165849:0.247020:0.165849:0.000000
F:@0.182788:0.207128:0.187713:0.207128:0.187713:0.196388:0.182788:0.196388:0.000000
:@0.184195:0.206119:0.188379:0.206119:0.188379:0.195803:0.184195:0.195803:0.000000
1:@0.187060:0.207932:0.190290:0.207932:0.190290:0.201660:0.187060:0.201660:0.000000
F:@0.320158:0.207128:0.325083:0.207128:0.325083:0.196388:0.320158:0.196388:0.000000
:@0.321565:0.206119:0.325749:0.206119:0.325749:0.195803:0.321565:0.195803:0.000000
2:@0.324429:0.207932:0.327660:0.207932:0.327660:0.201660:0.324429:0.201660:0.000000
y:@0.309540:0.158847:0.314887:0.158847:0.314887:0.147391:0.309540:0.147391:0.000000
2:@0.314887:0.154348:0.318333:0.154348:0.318333:0.147657:0.314887:0.147657:0.000000
 =       :@0.318332:0.158767:0.348901:0.158767:0.348901:0.147290:0.318332:0.147290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x –9:@0.348901:0.158847:0.370145:0.158847:0.370145:0.147391:0.348901:0.147391:0.000000:0.000000:0.000000:0.000000
2:@0.354101:0.154348:0.357547:0.154348:0.357547:0.147657:0.354101:0.147657:0.000000
x:@0.341049:0.174679:0.346249:0.174679:0.346249:0.163223:0.341049:0.163223:0.000000
 ≥ 3:@0.346249:0.174599:0.365441:0.174599:0.365441:0.163122:0.346249:0.163122:0.000000:0.000000:0.000000:0.000000
4:@0.332931:0.153363:0.338904:0.153363:0.338904:0.141764:0.332931:0.141764:0.000000
3:@0.332931:0.164046:0.338904:0.164046:0.338904:0.152448:0.332931:0.152448:0.000000
y:@0.144232:0.158847:0.149580:0.158847:0.149580:0.147391:0.144232:0.147391:0.000000
2:@0.149578:0.154348:0.153024:0.154348:0.153024:0.147657:0.149578:0.147657:0.000000
 =       :@0.153024:0.158767:0.183594:0.158767:0.183594:0.147290:0.153024:0.147290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x –9:@0.183594:0.158847:0.204837:0.158847:0.204837:0.147391:0.183594:0.147391:0.000000:0.000000:0.000000:0.000000
2:@0.188794:0.154348:0.192239:0.154348:0.192239:0.147657:0.188794:0.147657:0.000000
x:@0.146365:0.175937:0.151565:0.175937:0.151565:0.164480:0.146365:0.164480:0.000000
 ≤ –3:@0.151565:0.175856:0.178060:0.175856:0.178060:0.164380:0.151565:0.164380:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.167624:0.153363:0.173596:0.153363:0.173596:0.141764:0.167624:0.141764:0.000000
3:@0.167624:0.164046:0.173596:0.164046:0.173596:0.152448:0.167624:0.152448:0.000000
p:@0.143917:0.568663:0.155398:0.568663:0.155398:0.558639:0.143917:0.558639:0.000000
 :@0.155398:0.569371:0.158279:0.569371:0.158279:0.557895:0.155398:0.557895:0.000000
Figura 2.37.:@0.158279:0.569371:0.212758:0.569371:0.212758:0.557895:0.158279:0.557895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.246997:0.504731:0.251429:0.504731:0.251429:0.496123:0.246997:0.496123:0.000000
y:@0.237563:0.443107:0.244025:0.443107:0.244025:0.429479:0.237563:0.429479:0.000000
x:@0.362781:0.510796:0.369385:0.510796:0.369385:0.497168:0.362781:0.497168:0.000000
a:@0.246457:0.486559:0.251141:0.486559:0.251141:0.477967:0.246457:0.477967:0.000000
b:@0.272390:0.502763:0.277225:0.502763:0.277225:0.494171:0.272390:0.494171:0.000000
–b:@0.221409:0.502763:0.231480:0.502763:0.231480:0.494171:0.221409:0.494171:0.000000:0.000000
–2b:@0.195346:0.502763:0.209629:0.502763:0.209629:0.494171:0.195346:0.494171:0.000000:0.000000:0.000000
2b:@0.293458:0.502763:0.302504:0.502763:0.302504:0.494171:0.293458:0.494171:0.000000:0.000000
2a:@0.242246:0.473984:0.251141:0.473984:0.251141:0.465391:0.242246:0.465391:0.000000:0.000000
–2a:@0.237009:0.524859:0.251141:0.524859:0.251141:0.516267:0.237009:0.516267:0.000000:0.000000:0.000000
–a:@0.241220:0.512284:0.251141:0.512284:0.251141:0.503691:0.241220:0.503691:0.000000:0.000000
y:@0.169946:0.451928:0.175293:0.451928:0.175293:0.440472:0.169946:0.440472:0.000000
 =       :@0.175293:0.451848:0.205863:0.451848:0.205863:0.440371:0.175293:0.440371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x +b:@0.205863:0.451928:0.228525:0.451928:0.228525:0.440472:0.205863:0.440472:0.000000:0.000000:0.000000:0.000000
2:@0.211061:0.447429:0.214507:0.447429:0.214507:0.440738:0.211061:0.440738:0.000000
2:@0.228525:0.447429:0.231971:0.447429:0.231971:0.440738:0.228525:0.440738:0.000000
a:@0.188851:0.446880:0.195162:0.446880:0.195162:0.435303:0.188851:0.435303:0.000000
b:@0.188742:0.457564:0.195257:0.457564:0.195257:0.445986:0.188742:0.445986:0.000000
y:@0.261075:0.549859:0.266423:0.549859:0.266423:0.538403:0.261075:0.538403:0.000000
 = –       :@0.266423:0.549779:0.303827:0.549779:0.303827:0.538302:0.266423:0.538302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x +b:@0.303827:0.549859:0.326490:0.549859:0.326490:0.538403:0.303827:0.538403:0.000000:0.000000:0.000000:0.000000
2:@0.309026:0.545360:0.312471:0.545360:0.312471:0.538669:0.309026:0.538669:0.000000
2:@0.326490:0.545360:0.329936:0.545360:0.329936:0.538669:0.326490:0.538669:0.000000
a:@0.288933:0.544634:0.295244:0.544634:0.295244:0.533057:0.288933:0.533057:0.000000
b:@0.288824:0.555317:0.295339:0.555317:0.295339:0.543740:0.288824:0.543740:0.000000
Problemas relativos a la hipérbola:@0.404235:0.108020:0.675215:0.108020:0.675215:0.090337:0.404235:0.090337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La hipérbola siguiente   (0, 3, 4) =   ( ,  )     |         –         = 1  :@0.404235:0.131856:0.863285:0.131856:0.863285:0.115359:0.404235:0.115359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℋ:@0.568122:0.138930:0.584533:0.138930:0.584533:0.120795:0.568122:0.120795:0.000000
:@0.591758:0.129832:0.598174:0.129832:0.598174:0.114014:0.591758:0.114014:0.000000
x y:@0.668145:0.131972:0.690204:0.131972:0.690204:0.115503:0.668145:0.115503:0.000000:0.000000:0.000000
:@0.700296:0.131338:0.714949:0.131338:0.714949:0.117964:0.700296:0.117964:0.000000
:@0.719091:0.130769:0.732396:0.130769:0.732396:0.117907:0.719091:0.117907:0.000000
2:@0.732396:0.125503:0.737349:0.125503:0.737349:0.115885:0.732396:0.115885:0.000000
tiene como ecuación cartesiana: ( ,  )     tal que         –        = 1.:@0.404232:0.167020:0.872688:0.167027:0.872688:0.150529:0.404232:0.150523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.642312:0.167136:0.664371:0.167136:0.664371:0.150667:0.642312:0.150667:0.000000:0.000000:0.000000
:@0.674464:0.166508:0.689117:0.166508:0.689117:0.153135:0.674464:0.153135:0.000000
:@0.693259:0.165940:0.706563:0.165940:0.706563:0.153078:0.693259:0.153078:0.000000
2:@0.706562:0.160674:0.711515:0.160674:0.711515:0.151056:0.706562:0.151056:0.000000
Se tiene   = 3,   = 4 y como   =   –  , se sigue que   =   +  , :@0.404235:0.201728:0.895911:0.201728:0.895911:0.185231:0.404235:0.185231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.467039:0.201844:0.476017:0.201844:0.476017:0.185375:0.467039:0.185375:0.000000
b:@0.514432:0.201844:0.523698:0.201844:0.523698:0.185375:0.514432:0.185375:0.000000
b:@0.619871:0.201844:0.629137:0.201844:0.629137:0.185375:0.619871:0.185375:0.000000
2:@0.629152:0.195375:0.634105:0.195375:0.634105:0.185757:0.629152:0.185757:0.000000
c:@0.655818:0.201844:0.663004:0.201844:0.663004:0.185375:0.655818:0.185375:0.000000
2:@0.663007:0.195375:0.667960:0.195375:0.667960:0.185757:0.663007:0.185757:0.000000
a:@0.689363:0.201844:0.698340:0.201844:0.698340:0.185375:0.689363:0.185375:0.000000
2:@0.698345:0.195375:0.703298:0.195375:0.703298:0.185757:0.698345:0.185757:0.000000
c:@0.805287:0.201844:0.812472:0.201844:0.812472:0.185375:0.805287:0.185375:0.000000
2:@0.812479:0.195375:0.817432:0.195375:0.817432:0.185757:0.812479:0.185757:0.000000
a:@0.839144:0.201844:0.848122:0.201844:0.848122:0.185375:0.839144:0.185375:0.000000
2:@0.848126:0.195375:0.853079:0.195375:0.853079:0.185757:0.848126:0.185757:0.000000
b:@0.874790:0.201844:0.884057:0.201844:0.884057:0.185375:0.874790:0.185375:0.000000
2:@0.884060:0.195375:0.889013:0.195375:0.889013:0.185757:0.884060:0.185757:0.000000
donde   = 5. Las coordenadas de los focos son   = (–5, 0),    = (5, 0). :@0.404242:0.219079:0.895922:0.219079:0.895922:0.202581:0.404242:0.202581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.455160:0.219195:0.462346:0.219195:0.462346:0.202726:0.455160:0.202726:0.000000
F:@0.736121:0.219195:0.743673:0.219195:0.743673:0.202726:0.736121:0.202726:0.000000
:@0.738225:0.217055:0.744640:0.217055:0.744640:0.201237:0.738225:0.201237:0.000000
1:@0.743085:0.222356:0.748038:0.222356:0.748038:0.212738:0.743085:0.212738:0.000000
F:@0.823885:0.219195:0.831437:0.219195:0.831437:0.202726:0.823885:0.202726:0.000000
:@0.826004:0.217055:0.832419:0.217055:0.832419:0.201237:0.826004:0.201237:0.000000
2:@0.830888:0.222356:0.835841:0.222356:0.835841:0.212738:0.830888:0.212738:0.000000
En la Figura 2.36. se muestra esta hipérbola. :@0.404240:0.236430:0.713637:0.236430:0.713637:0.219932:0.404240:0.219932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación tratamos la hipérbola que tiene focos en el eje   y :@0.404240:0.268109:0.895849:0.268109:0.895849:0.251612:0.404240:0.251612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.867972:0.268225:0.878106:0.268225:0.878106:0.251756:0.867972:0.251756:0.000000
determinamos su ecuación cartesiana. Para el efecto, sean  ,  ,      , :@0.404240:0.285460:0.895911:0.285465:0.895911:0.268967:0.404240:0.268962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.810250:0.285576:0.847996:0.285576:0.847996:0.269107:0.810250:0.269107:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.851378:0.284946:0.866030:0.284946:0.866030:0.271573:0.851378:0.271573:0.000000
:@0.869408:0.284378:0.882713:0.284378:0.882713:0.271515:0.869408:0.271515:0.000000
+:@0.882713:0.279112:0.889014:0.279112:0.889014:0.269493:0.882713:0.269493:0.000000
tales que 0 <   <   y   =   –  ,   = (0, – ),    = (0,  ). La hipérbola de :@0.404242:0.302815:0.895925:0.302815:0.895925:0.286318:0.404242:0.286318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a c b:@0.497349:0.302931:0.555742:0.302931:0.555742:0.286462:0.497349:0.286462:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.555716:0.296462:0.560670:0.296462:0.560670:0.286844:0.555716:0.286844:0.000000
c:@0.578645:0.302931:0.585830:0.302931:0.585830:0.286462:0.578645:0.286462:0.000000
2:@0.585825:0.296462:0.590779:0.296462:0.590779:0.286844:0.585825:0.286844:0.000000
a F:@0.608444:0.302931:0.636261:0.302931:0.636261:0.286462:0.608444:0.286462:0.000000:0.000000:0.000000
2:@0.617417:0.296462:0.622370:0.296462:0.622370:0.286844:0.617417:0.286844:0.000000
:@0.630867:0.300791:0.637282:0.300791:0.637282:0.284973:0.630867:0.284973:0.000000
1:@0.635738:0.306092:0.640691:0.306092:0.640691:0.296474:0.635738:0.296474:0.000000
c F:@0.689952:0.302931:0.720565:0.302931:0.720565:0.286462:0.689952:0.286462:0.000000:0.000000:0.000000
:@0.715151:0.300791:0.721567:0.300791:0.721567:0.284973:0.715151:0.284973:0.000000
2:@0.720032:0.306092:0.724985:0.306092:0.724985:0.296474:0.720032:0.296474:0.000000
c:@0.763170:0.302931:0.770356:0.302931:0.770356:0.286462:0.763170:0.286462:0.000000
eje   como eje principal y con focos   y   es el conjunto de puntos :@0.404239:0.320166:0.888521:0.320166:0.888521:0.303668:0.404239:0.303668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.428282:0.320282:0.438415:0.320282:0.438415:0.303813:0.428282:0.303813:0.000000
F:@0.663776:0.320282:0.671328:0.320282:0.671328:0.303813:0.663776:0.303813:0.000000
:@0.665938:0.318142:0.672353:0.318142:0.672353:0.302324:0.665938:0.302324:0.000000
1:@0.670804:0.323443:0.675757:0.323443:0.675757:0.313825:0.670804:0.313825:0.000000
F:@0.691863:0.320282:0.699415:0.320282:0.699415:0.303813:0.691863:0.303813:0.000000
:@0.694021:0.318142:0.700436:0.318142:0.700436:0.302324:0.694021:0.302324:0.000000
2:@0.698894:0.323443:0.703847:0.323443:0.703847:0.313825:0.698894:0.313825:0.000000
ℋ:@0.467785:0.361942:0.484196:0.361942:0.484196:0.343806:0.467785:0.343806:0.000000
(0,  ,  ) =         |     – :@0.484197:0.354868:0.671765:0.354868:0.671765:0.338370:0.484197:0.338370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.491422:0.352843:0.497837:0.352843:0.497837:0.337025:0.491422:0.337025:0.000000
a b:@0.504637:0.354983:0.529779:0.354983:0.529779:0.338514:0.504637:0.338514:0.000000:0.000000:0.000000
x:@0.563108:0.354983:0.570582:0.354983:0.570582:0.338514:0.563108:0.338514:0.000000
:@0.564803:0.355359:0.571218:0.355359:0.571218:0.339541:0.564803:0.339541:0.000000
:@0.575359:0.354349:0.590011:0.354349:0.590011:0.340976:0.575359:0.340976:0.000000
:@0.594151:0.353781:0.607456:0.353781:0.607456:0.340918:0.594151:0.340918:0.000000
2:@0.607456:0.348515:0.612409:0.348515:0.612409:0.338896:0.607456:0.338896:0.000000
|:@0.625703:0.356787:0.630712:0.356787:0.630712:0.334515:0.625703:0.334515:0.000000
||:@0.634853:0.355605:0.644871:0.355605:0.644871:0.335808:0.634853:0.335808:0.000000:0.000000
x:@0.644871:0.354983:0.652346:0.354983:0.652346:0.338514:0.644871:0.338514:0.000000
:@0.646566:0.355359:0.652982:0.355359:0.652982:0.339541:0.646566:0.339541:0.000000
F:@0.671765:0.354983:0.679317:0.354983:0.679317:0.338514:0.671765:0.338514:0.000000
:@0.673923:0.352843:0.680338:0.352843:0.680338:0.337025:0.673923:0.337025:0.000000
1:@0.678796:0.358144:0.683749:0.358144:0.683749:0.348526:0.678796:0.348526:0.000000
|| ||:@0.683750:0.355605:0.722569:0.355605:0.722569:0.335808:0.683750:0.335808:0.000000:0.000000:0.000000:0.000000:0.000000
 –   – :@0.693766:0.354868:0.749463:0.354868:0.749463:0.338370:0.693766:0.338370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.722569:0.354983:0.730043:0.354983:0.730043:0.338514:0.722569:0.338514:0.000000
:@0.724264:0.355359:0.730679:0.355359:0.730679:0.339541:0.724264:0.339541:0.000000
F:@0.749463:0.354983:0.757015:0.354983:0.757015:0.338514:0.749463:0.338514:0.000000
:@0.751621:0.352843:0.758036:0.352843:0.758036:0.337025:0.751621:0.337025:0.000000
2:@0.756494:0.358144:0.761447:0.358144:0.761447:0.348526:0.756494:0.348526:0.000000
||:@0.761446:0.355605:0.771464:0.355605:0.771464:0.335808:0.761446:0.335808:0.000000:0.000000
 | = 2   .:@0.771464:0.354868:0.828219:0.354868:0.828219:0.338370:0.771464:0.338370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.808203:0.354983:0.817180:0.354983:0.817180:0.338514:0.808203:0.338514:0.000000
Sea   = (x,y)    . Considerando que::@0.404229:0.389569:0.674911:0.389569:0.674911:0.373071:0.404229:0.373071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.432492:0.389685:0.439967:0.389685:0.439967:0.373216:0.432492:0.373216:0.000000
:@0.434187:0.390061:0.440602:0.390061:0.440602:0.374243:0.434187:0.374243:0.000000
:@0.496724:0.389050:0.511377:0.389050:0.511377:0.375677:0.496724:0.375677:0.000000
:@0.515519:0.388482:0.528824:0.388482:0.528824:0.375620:0.515519:0.375620:0.000000
2:@0.528824:0.383216:0.533777:0.383216:0.533777:0.373598:0.528824:0.373598:0.000000
x:@0.404236:0.424386:0.411711:0.424386:0.411711:0.407917:0.404236:0.407917:0.000000
:@0.405932:0.424762:0.412347:0.424762:0.412347:0.408944:0.405932:0.408944:0.000000
 –   = ( ,   +  ),   – :@0.412347:0.424271:0.566254:0.424271:0.566254:0.407773:0.412347:0.407773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.431130:0.424386:0.438682:0.424386:0.438682:0.407917:0.431130:0.407917:0.000000
:@0.433288:0.422246:0.439704:0.422246:0.439704:0.406428:0.433288:0.406428:0.000000
1:@0.438160:0.427547:0.443113:0.427547:0.443113:0.417929:0.438160:0.417929:0.000000
x y c:@0.468157:0.424386:0.516493:0.424386:0.516493:0.407917:0.468157:0.407917:0.000000:0.000000:0.000000:0.000000:0.000000
||:@0.529341:0.425008:0.539359:0.425008:0.539359:0.405211:0.529341:0.405211:0.000000:0.000000
x:@0.539359:0.424386:0.546834:0.424386:0.546834:0.407917:0.539359:0.407917:0.000000
:@0.541055:0.424762:0.547470:0.424762:0.547470:0.408944:0.541055:0.408944:0.000000
F:@0.566254:0.424386:0.573806:0.424386:0.573806:0.407917:0.566254:0.407917:0.000000
:@0.568411:0.422246:0.574827:0.422246:0.574827:0.406428:0.568411:0.406428:0.000000
1:@0.573285:0.427547:0.578238:0.427547:0.578238:0.417929:0.573285:0.417929:0.000000
||:@0.578237:0.425008:0.588255:0.425008:0.588255:0.405211:0.578237:0.405211:0.000000:0.000000
 =     + (  +  ) ,:@0.588255:0.424271:0.705556:0.424271:0.705556:0.407773:0.588255:0.407773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.615630:0.424386:0.623105:0.424386:0.623105:0.407917:0.615630:0.407917:0.000000
2:@0.623105:0.417918:0.628058:0.417918:0.628058:0.408299:0.623105:0.408299:0.000000
y c:@0.653103:0.424386:0.687068:0.424386:0.687068:0.407917:0.653103:0.407917:0.000000:0.000000:0.000000
2  :@0.693019:0.417918:0.702802:0.417918:0.702802:0.408299:0.693019:0.408299:0.000000:0.000000:0.000000
x:@0.404228:0.448865:0.411703:0.448865:0.411703:0.432396:0.404228:0.432396:0.000000
:@0.405923:0.449241:0.412338:0.449241:0.412338:0.433423:0.405923:0.433423:0.000000
 –   = ( ,   –  ),   – :@0.412338:0.448750:0.565945:0.448749:0.565945:0.432251:0.412338:0.432252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.431122:0.448865:0.438674:0.448865:0.438674:0.432396:0.431122:0.432396:0.000000
:@0.433280:0.446725:0.439695:0.446725:0.439695:0.430907:0.433280:0.430907:0.000000
2:@0.438160:0.452027:0.443113:0.452027:0.443113:0.442409:0.438160:0.442409:0.000000
x y c:@0.468157:0.448865:0.516185:0.448865:0.516185:0.432396:0.468157:0.432396:0.000000:0.000000:0.000000:0.000000:0.000000
||:@0.529033:0.449486:0.539051:0.449486:0.539051:0.429689:0.529033:0.429689:0.000000:0.000000
x:@0.539051:0.448865:0.546526:0.448865:0.546526:0.432396:0.539051:0.432396:0.000000
:@0.540746:0.449241:0.547162:0.449241:0.547162:0.433422:0.540746:0.433422:0.000000
F:@0.565945:0.448865:0.573497:0.448865:0.573497:0.432396:0.565945:0.432396:0.000000
:@0.568103:0.446725:0.574518:0.446725:0.574518:0.430907:0.568103:0.430907:0.000000
2:@0.572976:0.452027:0.577930:0.452027:0.577930:0.442409:0.572976:0.442409:0.000000
||:@0.577930:0.449486:0.587948:0.449486:0.587948:0.429689:0.577930:0.429689:0.000000:0.000000
 =     + (  –  ) , se tiene que::@0.587946:0.448749:0.797260:0.448749:0.797260:0.432251:0.587946:0.432251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.615322:0.448865:0.622797:0.448865:0.622797:0.432396:0.615322:0.432396:0.000000
2:@0.622796:0.442397:0.627750:0.442397:0.627750:0.432779:0.622796:0.432779:0.000000
y c:@0.652795:0.448865:0.686451:0.448865:0.686451:0.432396:0.652795:0.432396:0.000000:0.000000:0.000000
2  :@0.692403:0.442397:0.702185:0.442397:0.702185:0.432779:0.692403:0.432779:0.000000:0.000000:0.000000
x:@0.404229:0.483566:0.411704:0.483566:0.411704:0.467097:0.404229:0.467097:0.000000
:@0.405925:0.483942:0.412340:0.483942:0.412340:0.468124:0.405925:0.468124:0.000000
    (0,  ,  ) =     – :@0.412340:0.483450:0.568381:0.483450:0.568381:0.466953:0.412340:0.466953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.416486:0.482932:0.431138:0.482932:0.431138:0.469559:0.416486:0.469559:0.000000
ℋ:@0.435280:0.490525:0.451692:0.490525:0.451692:0.472389:0.435280:0.472389:0.000000
:@0.458919:0.481426:0.465334:0.481426:0.465334:0.465608:0.458919:0.465608:0.000000
a b:@0.472134:0.483566:0.497276:0.483566:0.497276:0.467097:0.472134:0.467097:0.000000:0.000000:0.000000
|:@0.522319:0.485370:0.527328:0.485370:0.527328:0.463098:0.522319:0.463098:0.000000
||:@0.531469:0.484188:0.541487:0.484188:0.541487:0.464391:0.531469:0.464391:0.000000:0.000000
x:@0.541487:0.483566:0.548962:0.483566:0.548962:0.467097:0.541487:0.467097:0.000000
:@0.543182:0.483942:0.549598:0.483942:0.549598:0.468124:0.543182:0.468124:0.000000
F:@0.568381:0.483566:0.575933:0.483566:0.575933:0.467097:0.568381:0.467097:0.000000
:@0.570539:0.481426:0.576954:0.481426:0.576954:0.465608:0.570539:0.465608:0.000000
1:@0.575412:0.486728:0.580365:0.486728:0.580365:0.477110:0.575412:0.477110:0.000000
|| ||:@0.580366:0.484188:0.619185:0.484188:0.619185:0.464391:0.580366:0.464391:0.000000:0.000000:0.000000:0.000000:0.000000
 –   – :@0.590382:0.483450:0.646079:0.483450:0.646079:0.466953:0.590382:0.466953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.619185:0.483566:0.626659:0.483566:0.626659:0.467097:0.619185:0.467097:0.000000
:@0.620880:0.483942:0.627295:0.483942:0.627295:0.468124:0.620880:0.468124:0.000000
F:@0.646079:0.483566:0.653631:0.483566:0.653631:0.467097:0.646079:0.467097:0.000000
:@0.648237:0.481426:0.654652:0.481426:0.654652:0.465608:0.648237:0.465608:0.000000
2:@0.653110:0.486728:0.658063:0.486728:0.658063:0.477110:0.653110:0.477110:0.000000
||:@0.658062:0.484188:0.668080:0.484188:0.668080:0.464391:0.658062:0.464391:0.000000:0.000000
   = 2:@0.668080:0.483450:0.704819:0.483450:0.704819:0.466953:0.668080:0.466953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.672223:0.485370:0.677232:0.485370:0.677232:0.463098:0.672223:0.463098:0.000000
a :@0.704819:0.483566:0.717939:0.483566:0.717939:0.467097:0.704819:0.467097:0.000000:0.000000
     + (  +  ) –      + (  –  )  = ±2:@0.404235:0.507929:0.651328:0.507929:0.651328:0.491431:0.404235:0.491431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.416661:0.508045:0.424136:0.508045:0.424136:0.491576:0.416661:0.491576:0.000000
2:@0.424135:0.501577:0.429088:0.501577:0.429088:0.491959:0.424135:0.491959:0.000000
y c:@0.454133:0.508045:0.488098:0.508045:0.488098:0.491576:0.454133:0.491576:0.000000:0.000000:0.000000
2  :@0.494049:0.501577:0.503832:0.501577:0.503832:0.491959:0.494049:0.491959:0.000000:0.000000:0.000000
x:@0.530899:0.508045:0.538373:0.508045:0.538373:0.491576:0.530899:0.491576:0.000000
2:@0.538373:0.501577:0.543326:0.501577:0.543326:0.491959:0.538373:0.491959:0.000000
y c:@0.568371:0.508045:0.602028:0.508045:0.602028:0.491576:0.568371:0.491576:0.000000:0.000000:0.000000
2:@0.607979:0.501577:0.612932:0.501577:0.612932:0.491959:0.607979:0.491959:0.000000
a.:@0.651328:0.508045:0.662849:0.508045:0.662849:0.491576:0.651328:0.491576:0.000000:0.000000
 :@0.404232:0.525280:0.408374:0.525280:0.408374:0.508782:0.404232:0.508782:0.000000
Si se considera la ecuación ( ,  )    , tal que:@0.404232:0.542630:0.726716:0.542630:0.726716:0.526133:0.404232:0.526133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.601466:0.542746:0.623525:0.542746:0.623525:0.526277:0.601466:0.526277:0.000000:0.000000:0.000000
:@0.633620:0.542112:0.648273:0.542112:0.648273:0.528738:0.633620:0.528738:0.000000
:@0.652415:0.541543:0.665719:0.541543:0.665719:0.528681:0.652415:0.528681:0.000000
2:@0.665719:0.536279:0.670672:0.536279:0.670672:0.526661:0.665719:0.526661:0.000000
     + (  +  ) –      + (  –  )  = –2a, y se procede en forma similar a :@0.404235:0.563538:0.890350:0.563546:0.890350:0.547048:0.404235:0.547040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.416661:0.563654:0.424136:0.563654:0.424136:0.547185:0.416661:0.547185:0.000000
2:@0.424135:0.557194:0.429088:0.557194:0.429088:0.547576:0.424135:0.547576:0.000000
y c:@0.454133:0.563661:0.488098:0.563661:0.488098:0.547192:0.454133:0.547192:0.000000:0.000000:0.000000
2  :@0.494049:0.557194:0.503832:0.557194:0.503832:0.547576:0.494049:0.547576:0.000000:0.000000:0.000000
x:@0.530899:0.563661:0.538373:0.563661:0.538373:0.547192:0.530899:0.547192:0.000000
2:@0.538373:0.557194:0.543326:0.557194:0.543326:0.547576:0.538373:0.547576:0.000000
y c:@0.568371:0.563661:0.602028:0.563661:0.602028:0.547192:0.568371:0.547192:0.000000:0.000000:0.000000
2:@0.607979:0.557194:0.612932:0.557194:0.612932:0.547576:0.607979:0.547576:0.000000
la descrita anteriormente, se deduce la ecuación: :@0.404232:0.580896:0.752390:0.580896:0.752390:0.564399:0.404232:0.564399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )    , tal que         –         = –1, a la que se conoce como ecuación:@0.404232:0.607154:0.891658:0.607158:0.891658:0.590660:0.404232:0.590656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.410185:0.607269:0.431781:0.607269:0.431781:0.590801:0.410185:0.590801:0.000000:0.000000:0.000000
:@0.441423:0.606639:0.456076:0.606639:0.456076:0.593266:0.441423:0.593266:0.000000
:@0.459759:0.606071:0.473063:0.606071:0.473063:0.593208:0.459759:0.593208:0.000000
2:@0.473063:0.600805:0.478017:0.600805:0.478017:0.591186:0.473063:0.591186:0.000000
canónica de la hipérbola de eje   como eje principal. :@0.404231:0.631637:0.782036:0.631637:0.782036:0.615139:0.404231:0.615139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.628937:0.631752:0.639071:0.631752:0.639071:0.615283:0.628937:0.615283:0.000000
Por lo tanto,   = ( ,  )    (0,  ,  )           –         = –1,:@0.404231:0.673466:0.789503:0.673465:0.789503:0.656967:0.404231:0.656969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.495703:0.673582:0.503178:0.673582:0.503178:0.657113:0.495703:0.657113:0.000000
:@0.497398:0.673958:0.503813:0.673958:0.503813:0.658140:0.497398:0.658140:0.000000
x y:@0.528858:0.673582:0.550917:0.673582:0.550917:0.657113:0.528858:0.657113:0.000000:0.000000:0.000000
:@0.561012:0.672946:0.575664:0.672946:0.575664:0.659573:0.561012:0.659573:0.000000
ℋ:@0.579806:0.680539:0.596218:0.680539:0.596218:0.662404:0.579806:0.662404:0.000000
:@0.603443:0.671441:0.609858:0.671441:0.609858:0.655623:0.603443:0.655623:0.000000
a b:@0.616659:0.673581:0.641800:0.673581:0.641800:0.657112:0.616659:0.657112:0.000000:0.000000:0.000000
lo que permite escribir el conjunto  (0,  ,  ) como el siguiente: :@0.404236:0.702889:0.857771:0.702886:0.857771:0.686388:0.404236:0.686391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℋ:@0.654004:0.709960:0.670416:0.709960:0.670416:0.691824:0.654004:0.691824:0.000000
:@0.677641:0.700862:0.684056:0.700862:0.684056:0.685044:0.677641:0.685044:0.000000
a b:@0.690857:0.703002:0.715998:0.703002:0.715998:0.686533:0.690857:0.686533:0.000000:0.000000:0.000000
ℋ:@0.404235:0.738003:0.420646:0.738003:0.420646:0.719867:0.404235:0.719867:0.000000
(0,  ,  ) =   ( ,  )     |        –         = –1   .:@0.420647:0.730929:0.713905:0.730929:0.713905:0.714431:0.420647:0.714431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.427871:0.728905:0.434287:0.728905:0.434287:0.713086:0.427871:0.713086:0.000000
a b:@0.441087:0.731044:0.466228:0.731044:0.466228:0.714576:0.441087:0.714576:0.000000:0.000000:0.000000
x y:@0.505510:0.731044:0.527569:0.731044:0.527569:0.714576:0.505510:0.714576:0.000000:0.000000:0.000000
:@0.537661:0.730410:0.552313:0.730410:0.552313:0.717037:0.537661:0.717037:0.000000
:@0.556455:0.729842:0.569760:0.729842:0.569760:0.716980:0.556455:0.716980:0.000000
2:@0.569760:0.724577:0.574713:0.724577:0.574713:0.714959:0.569760:0.714959:0.000000
En la Figura 2.37., se muestran los focos   y   y la hipérbola de eje   :@0.404235:0.765630:0.895872:0.765630:0.895872:0.749133:0.404235:0.749133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.687587:0.765746:0.695139:0.765746:0.695139:0.749277:0.687587:0.749277:0.000000
:@0.689804:0.763606:0.696220:0.763606:0.696220:0.747788:0.689804:0.747788:0.000000
1:@0.694669:0.768908:0.699622:0.768908:0.699622:0.759290:0.694669:0.759290:0.000000
F:@0.716652:0.765746:0.724204:0.765746:0.724204:0.749277:0.716652:0.749277:0.000000
:@0.718829:0.763606:0.725244:0.763606:0.725244:0.747788:0.718829:0.747788:0.000000
2:@0.723698:0.768908:0.728651:0.768908:0.728651:0.759290:0.723698:0.759290:0.000000
Y:@0.881597:0.765746:0.891730:0.765746:0.891730:0.749277:0.881597:0.749277:0.000000
como eje principal.:@0.404242:0.782981:0.538923:0.782981:0.538923:0.766483:0.404242:0.766483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la ecuación canónica de la hipérbola: :@0.404242:0.816179:0.694816:0.816179:0.694816:0.799681:0.404242:0.799681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )    , tal que          –         = –1,:@0.404242:0.842436:0.661332:0.842435:0.661332:0.825937:0.404242:0.825939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.410195:0.842552:0.432254:0.842552:0.432254:0.826083:0.410195:0.826083:0.000000:0.000000:0.000000
:@0.442340:0.841916:0.456992:0.841916:0.456992:0.828543:0.442340:0.828543:0.000000
:@0.461134:0.841348:0.474439:0.841348:0.474439:0.828486:0.461134:0.828486:0.000000
2:@0.474439:0.836082:0.479392:0.836082:0.479392:0.826464:0.474439:0.826464:0.000000
se sigue que          = 1 +        , y como 1 +         ≥ 1, resulta         ≥ 1, de:@0.404237:0.875821:0.891450:0.875821:0.891450:0.859323:0.404237:0.859323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde :@0.404237:0.903857:0.455271:0.903857:0.455271:0.887359:0.404237:0.887359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.455271:0.903972:0.467100:0.903972:0.467100:0.887504:0.455271:0.887504:0.000000:0.000000
:@0.467095:0.903348:0.481747:0.903348:0.481747:0.889975:0.467095:0.889975:0.000000
 ]–∞, – ]   [ , ∞[.:@0.481748:0.903867:0.614379:0.903867:0.614379:0.887369:0.481748:0.887369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.532955:0.903982:0.541933:0.903982:0.541933:0.887514:0.532955:0.887514:0.000000
<:@0.551929:0.903348:0.566581:0.903348:0.566581:0.889975:0.551929:0.889975:0.000000
a:@0.576581:0.903982:0.585558:0.903982:0.585558:0.887514:0.576581:0.887514:0.000000
x:@0.760427:0.124548:0.767902:0.124548:0.767902:0.108079:0.760427:0.108079:0.000000
3:@0.759907:0.140771:0.768403:0.140771:0.768403:0.124273:0.759907:0.124273:0.000000
x:@0.781505:0.159959:0.788980:0.159959:0.788980:0.143491:0.781505:0.143491:0.000000
3:@0.780985:0.176182:0.789481:0.176182:0.789481:0.159685:0.780985:0.159685:0.000000
y:@0.810579:0.124548:0.818266:0.124548:0.818266:0.108079:0.810579:0.108079:0.000000
4:@0.810174:0.140771:0.818670:0.140771:0.818670:0.124273:0.810174:0.124273:0.000000
y:@0.824956:0.159959:0.832643:0.159959:0.832643:0.143491:0.824956:0.143491:0.000000
4:@0.824551:0.176182:0.833047:0.176182:0.833047:0.159685:0.824551:0.159685:0.000000
2:@0.776535:0.118563:0.781488:0.118563:0.781488:0.108945:0.776535:0.108945:0.000000
2:@0.797616:0.153976:0.802570:0.153976:0.802570:0.144358:0.797616:0.144358:0.000000
2:@0.826796:0.118563:0.831749:0.118563:0.831749:0.108945:0.826796:0.108945:0.000000
2:@0.841173:0.153976:0.846126:0.153976:0.846126:0.144358:0.841173:0.144358:0.000000
x:@0.545224:0.599795:0.552699:0.599795:0.552699:0.583326:0.545224:0.583326:0.000000
b:@0.544338:0.616133:0.553605:0.616133:0.553605:0.599665:0.544338:0.599665:0.000000
x:@0.687844:0.665828:0.695319:0.665828:0.695319:0.649359:0.687844:0.649359:0.000000
b:@0.686958:0.682167:0.696225:0.682167:0.696225:0.665698:0.686958:0.665698:0.000000
x:@0.595706:0.723457:0.603181:0.723457:0.603181:0.706988:0.595706:0.706988:0.000000
b:@0.594820:0.739795:0.604086:0.739795:0.604086:0.723327:0.594820:0.723327:0.000000
x:@0.553100:0.834802:0.560575:0.834802:0.560575:0.818333:0.553100:0.818333:0.000000
b:@0.552213:0.851141:0.561480:0.851141:0.561480:0.834672:0.552213:0.834672:0.000000
x:@0.583254:0.868016:0.590729:0.868016:0.590729:0.851547:0.583254:0.851547:0.000000
b:@0.582368:0.884355:0.591634:0.884355:0.591634:0.867886:0.582368:0.867886:0.000000
x:@0.703871:0.868016:0.711346:0.868016:0.711346:0.851547:0.703871:0.851547:0.000000
b:@0.702985:0.884355:0.712252:0.884355:0.712252:0.867886:0.702985:0.867886:0.000000
y:@0.590350:0.599795:0.598037:0.599795:0.598037:0.583326:0.590350:0.583326:0.000000
a:@0.589695:0.616133:0.598673:0.616133:0.598673:0.599665:0.589695:0.599665:0.000000
y:@0.732970:0.665828:0.740657:0.665828:0.740657:0.649359:0.732970:0.649359:0.000000
a:@0.732315:0.682167:0.741293:0.682167:0.741293:0.665698:0.732315:0.665698:0.000000
y:@0.640832:0.723457:0.648519:0.723457:0.648519:0.706988:0.640832:0.706988:0.000000
a:@0.640177:0.739795:0.649155:0.739795:0.649155:0.723327:0.640177:0.723327:0.000000
y:@0.601576:0.834802:0.609263:0.834802:0.609263:0.818333:0.601576:0.818333:0.000000
a:@0.600921:0.851141:0.609899:0.851141:0.609899:0.834672:0.600921:0.834672:0.000000
y:@0.506087:0.868016:0.513774:0.868016:0.513774:0.851547:0.506087:0.851547:0.000000
a:@0.505432:0.884355:0.514410:0.884355:0.514410:0.867886:0.505432:0.867886:0.000000
y:@0.819357:0.868016:0.827044:0.868016:0.827044:0.851547:0.819357:0.851547:0.000000
a:@0.818702:0.884355:0.827680:0.884355:0.827680:0.867886:0.818702:0.867886:0.000000
2:@0.561332:0.593810:0.566285:0.593810:0.566285:0.584192:0.561332:0.584192:0.000000
2:@0.703951:0.659839:0.708904:0.659839:0.708904:0.650221:0.703951:0.650221:0.000000
2:@0.611818:0.717464:0.616771:0.717464:0.616771:0.707845:0.611818:0.707845:0.000000
2:@0.569216:0.828810:0.574169:0.828810:0.574169:0.819192:0.569216:0.819192:0.000000
2:@0.599373:0.862022:0.604326:0.862022:0.604326:0.852404:0.599373:0.852404:0.000000
2:@0.719990:0.862022:0.724943:0.862022:0.724943:0.852404:0.719990:0.852404:0.000000
2:@0.606573:0.593802:0.611526:0.593802:0.611526:0.584184:0.606573:0.584184:0.000000
2:@0.749192:0.659831:0.754146:0.659831:0.754146:0.650213:0.749192:0.650213:0.000000
2:@0.657059:0.717455:0.662012:0.717455:0.662012:0.707837:0.657059:0.707837:0.000000
2:@0.617804:0.828801:0.622758:0.828801:0.622758:0.819183:0.617804:0.819183:0.000000
2:@0.522313:0.862014:0.527266:0.862014:0.527266:0.852396:0.522313:0.852396:0.000000
2:@0.835586:0.862014:0.840539:0.862014:0.840539:0.852396:0.835586:0.852396:0.000000
El conjunto:@0.199880:0.659547:0.271737:0.659547:0.271737:0.644484:0.199880:0.644484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  ( ,  )     |        –         = –1,:@0.153344:0.681896:0.345262:0.681896:0.345262:0.666834:0.153344:0.666834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.166342:0.682002:0.186482:0.682002:0.186482:0.666966:0.166342:0.666966:0.000000:0.000000:0.000000
:@0.195697:0.681423:0.209075:0.681423:0.209075:0.669213:0.195697:0.669213:0.000000
:@0.212857:0.680904:0.225004:0.680904:0.225004:0.669161:0.212857:0.669161:0.000000
2:@0.225004:0.676096:0.229526:0.676096:0.229526:0.667315:0.225004:0.667315:0.000000
y:@0.153347:0.706754:0.160365:0.706754:0.160365:0.691718:0.153347:0.691718:0.000000
 ≤ –:@0.160365:0.706648:0.187382:0.706648:0.187382:0.691586:0.160365:0.691586:0.000000:0.000000:0.000000:0.000000
a:@0.187382:0.706754:0.195578:0.706754:0.195578:0.691718:0.187382:0.691718:0.000000
representa la rama de hipérbola :@0.153344:0.729617:0.354693:0.729617:0.354693:0.714554:0.153344:0.714554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bajo el eje X, y el conjunto  :@0.153344:0.745459:0.322593:0.745459:0.322593:0.730396:0.153344:0.730396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  ( ,  )     |        –         = –1,:@0.153344:0.767808:0.345262:0.767808:0.345262:0.752745:0.153344:0.752745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.166342:0.767913:0.186482:0.767913:0.186482:0.752877:0.166342:0.752877:0.000000:0.000000:0.000000
:@0.195697:0.767334:0.209075:0.767334:0.209075:0.755124:0.195697:0.755124:0.000000
:@0.212857:0.766815:0.225004:0.766815:0.225004:0.755072:0.212857:0.755072:0.000000
2:@0.225004:0.762009:0.229526:0.762009:0.229526:0.753227:0.225004:0.753227:0.000000
y a:@0.153347:0.792665:0.185992:0.792665:0.185992:0.777629:0.153347:0.777629:0.000000:0.000000:0.000000
 ≥ :@0.160365:0.792560:0.177796:0.792560:0.177796:0.777497:0.160365:0.777497:0.000000:0.000000:0.000000
representa la rama de hipérbola :@0.153344:0.815530:0.354693:0.815530:0.354693:0.800467:0.153344:0.800467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre el eje X.:@0.153344:0.831372:0.237792:0.831372:0.237792:0.816309:0.153344:0.816309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para   = 0 se obtiene   = ±  :@0.153344:0.854343:0.332569:0.854343:0.332569:0.839280:0.153344:0.839280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.183511:0.854449:0.190336:0.854449:0.190336:0.839412:0.183511:0.839412:0.000000
y:@0.285531:0.854449:0.292550:0.854449:0.292550:0.839412:0.285531:0.839412:0.000000
a,:@0.318532:0.854449:0.328787:0.854449:0.328787:0.839412:0.318532:0.839412:0.000000:0.000000
luego,   = (0, – ),   = (0,  ) son :@0.153344:0.870185:0.365180:0.870184:0.365180:0.855121:0.153344:0.855122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.193536:0.870289:0.200642:0.870289:0.200642:0.855253:0.193536:0.855253:0.000000
:@0.195365:0.870632:0.201223:0.870632:0.201223:0.856190:0.195365:0.856190:0.000000
1:@0.201222:0.873177:0.205745:0.873177:0.205745:0.864395:0.201222:0.864395:0.000000
a v:@0.252253:0.870289:0.279286:0.870289:0.279286:0.855253:0.252253:0.855253:0.000000:0.000000:0.000000
:@0.274010:0.870632:0.279867:0.870632:0.279867:0.856190:0.274010:0.856190:0.000000
2:@0.279866:0.873177:0.284389:0.873177:0.284389:0.864395:0.279866:0.864395:0.000000
a:@0.321311:0.870289:0.329508:0.870289:0.329508:0.855253:0.321311:0.855253:0.000000
los vértices de la hipérbola.:@0.153344:0.886026:0.320322:0.886026:0.320322:0.870963:0.153344:0.870963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.248178:0.675152:0.255002:0.675152:0.255002:0.660116:0.248178:0.660116:0.000000
b:@0.247368:0.690069:0.255829:0.690069:0.255829:0.675033:0.247368:0.675033:0.000000
x:@0.248178:0.761183:0.255002:0.761183:0.255002:0.746147:0.248178:0.746147:0.000000
b:@0.247368:0.776100:0.255829:0.776100:0.255829:0.761064:0.247368:0.761064:0.000000
y:@0.287847:0.675152:0.294865:0.675152:0.294865:0.660116:0.287847:0.660116:0.000000
a:@0.287249:0.690069:0.295446:0.690069:0.295446:0.675033:0.287249:0.675033:0.000000
y:@0.287847:0.761183:0.294865:0.761183:0.294865:0.746147:0.287847:0.746147:0.000000
a:@0.287249:0.776100:0.295446:0.776100:0.295446:0.761064:0.287249:0.761064:0.000000
2:@0.263384:0.669120:0.267906:0.669120:0.267906:0.660339:0.263384:0.660339:0.000000
2:@0.263384:0.755148:0.267906:0.755148:0.267906:0.746367:0.263384:0.746367:0.000000
2:@0.304063:0.669120:0.308585:0.669120:0.308585:0.660339:0.304063:0.660339:0.000000
2:@0.304063:0.755148:0.308585:0.755148:0.308585:0.746367:0.304063:0.746367:0.000000
Competencia :@0.199644:0.624775:0.297267:0.624775:0.297267:0.609303:0.199644:0.609303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.637343:0.283707:0.637343:0.283707:0.621870:0.199644:0.621870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000