86:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.806707:0.133950:0.806707:0.133950:0.789571:0.115209:0.789571:0.000000:0.000000:0.000000
Encuentra:@0.148452:0.806707:0.226457:0.806707:0.226457:0.790083:0.148452:0.790083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación cartesiana de la circunferencia con los datos propuestos en cada inciso.:@0.226457:0.806707:0.838507:0.806707:0.838507:0.790318:0.226457:0.790318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.765470:0.236739:0.765470:0.236739:0.731523:0.175844:0.731523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve problemas aplicados a la geometría y a la Física. (I.2.) (Ref. I.M.5.6.1.):@0.256865:0.753497:0.610302:0.753497:0.610302:0.743067:0.256865:0.743067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.054279:0.122645:0.076231:0.122645:0.076231:0.065614:0.054279:0.065614:0.000000
Ecuación cartesiana de la circunferencia:@0.115891:0.141978:0.710232:0.141978:0.710232:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.453794:0.272331:0.453794:0.272331:0.435357:0.115209:0.435357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea el centro   = (2, 3) y el radio   = 3, :@0.115209:0.473640:0.404484:0.473640:0.404484:0.457251:0.115209:0.457251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.216743:0.473640:0.226657:0.473640:0.226657:0.457279:0.216743:0.457279:0.000000
r:@0.361990:0.473640:0.367279:0.473640:0.367279:0.457279:0.361990:0.457279:0.000000
encontremos:@0.405442:0.473640:0.507273:0.473640:0.507273:0.457016:0.405442:0.457016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación cartesiana de la circunferencia. Luego :@0.507273:0.473640:0.884045:0.473640:0.884045:0.457251:0.507273:0.457251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculamos:@0.115209:0.490237:0.201119:0.490237:0.201119:0.473613:0.115209:0.473613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación cuando el centro es el origen y   = 3.:@0.201119:0.490237:0.558849:0.490237:0.558849:0.473848:0.201119:0.473848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.522307:0.490237:0.527595:0.490237:0.527595:0.473875:0.522307:0.473875:0.000000
M.5.2.16. Describir la circunferencia como lugares geométricos en el plano. :@0.125388:0.066256:0.474977:0.066256:0.474977:0.055827:0.125388:0.055827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.17. Escribir y reconocer las ecuaciones cartesianas de la circunferencia con centro en el origen y con centro fuera del origen para resolver y plantear problemas :@0.125388:0.076817:0.877700:0.076817:0.877700:0.066388:0.125388:0.066388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(por ejemplo, en física: órbitas planetarias, tiro parabólico, etc.), identificando la validez y pertinencia de los resultados obtenidos.:@0.125388:0.087379:0.722691:0.087379:0.722691:0.076949:0.125388:0.076949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Circunferencia:@0.440039:0.166981:0.555212:0.166981:0.555212:0.150080:0.440039:0.150080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Circunferencia:@0.122476:0.224653:0.237649:0.224653:0.237649:0.207753:0.122476:0.207753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analíticamente una circunferencia es el lugar geométrico de los puntos de un :@0.302514:0.197242:0.875827:0.197242:0.875827:0.180853:0.302514:0.180853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plano que equidistan de otro punto fijo llamado centro.:@0.302514:0.213838:0.710367:0.213838:0.710367:0.197449:0.302514:0.197449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una circunferencia queda totalmente determinada si se conocen su centro  :@0.302514:0.237557:0.859043:0.237557:0.859043:0.221168:0.302514:0.221168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y radio.:@0.302514:0.254153:0.355014:0.254153:0.355014:0.237764:0.302514:0.237764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación cartesiana :@0.122476:0.287388:0.283716:0.287388:0.283716:0.270487:0.122476:0.270487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la circunferencia:@0.122476:0.303984:0.277082:0.303984:0.277082:0.287083:0.122476:0.287083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con centro en el origen (0, 0):   +   = :@0.302514:0.282160:0.586011:0.282170:0.586011:0.265781:0.302514:0.265771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.522483:0.282160:0.529946:0.282160:0.529946:0.265798:0.522483:0.265798:0.000000
2:@0.529936:0.276123:0.535179:0.276123:0.535179:0.266568:0.529936:0.266568:0.000000
y:@0.554234:0.282170:0.561715:0.282170:0.561715:0.265809:0.554234:0.265809:0.000000
2:@0.561714:0.276123:0.566956:0.276123:0.566956:0.266568:0.561714:0.266568:0.000000
r:@0.586011:0.282170:0.591300:0.282170:0.591300:0.265809:0.586011:0.265809:0.000000
2:@0.591298:0.276123:0.596541:0.276123:0.596541:0.266568:0.591298:0.266568:0.000000
Con centro en (h, k): (  –  )  + (  –  )  = :@0.302506:0.305895:0.587909:0.305895:0.587909:0.289506:0.302506:0.289506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x h:@0.458072:0.305895:0.492329:0.305895:0.492329:0.289534:0.458072:0.289534:0.000000:0.000000:0.000000
2:@0.497210:0.299848:0.502453:0.299848:0.502453:0.290293:0.497210:0.290293:0.000000
y k:@0.526390:0.305895:0.558730:0.305895:0.558730:0.289534:0.526390:0.289534:0.000000:0.000000:0.000000
2:@0.563613:0.299848:0.568856:0.299848:0.568856:0.290293:0.563613:0.290293:0.000000
r:@0.587909:0.305895:0.593198:0.305895:0.593198:0.289534:0.587909:0.289534:0.000000
2:@0.593198:0.299848:0.598441:0.299848:0.598441:0.290293:0.593198:0.290293:0.000000
Ecuación general  :@0.122474:0.367336:0.265987:0.367336:0.265987:0.350435:0.122474:0.350435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la circunferencia:@0.122474:0.383932:0.277080:0.383932:0.277080:0.367031:0.122474:0.367031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si conocemos el centro y el radio de una circunferencia podemos construir su :@0.302512:0.333852:0.875533:0.333852:0.875533:0.317463:0.302512:0.317463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación ordinaria, y si operamos los cuadrados obtenemos la forma general :@0.302512:0.350449:0.869120:0.350449:0.869120:0.334060:0.302512:0.334060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación de la circunferencia, así::@0.302512:0.367045:0.584912:0.367045:0.584912:0.350656:0.302512:0.350656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.302512:0.390764:0.309975:0.390764:0.309975:0.374403:0.302512:0.374403:0.000000
2:@0.309969:0.384718:0.315211:0.384718:0.315211:0.375163:0.309969:0.375163:0.000000
 +   +   +   +   = 0:@0.315212:0.390765:0.476426:0.390765:0.476426:0.374376:0.315212:0.374376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.334266:0.390765:0.341748:0.390765:0.341748:0.374404:0.334266:0.374404:0.000000
2:@0.341746:0.384718:0.346989:0.384718:0.346989:0.375163:0.341746:0.375163:0.000000
Ax:@0.366044:0.390765:0.383771:0.390765:0.383771:0.374404:0.366044:0.374404:0.000000:0.000000
By:@0.402826:0.390765:0.419410:0.390765:0.419410:0.374404:0.402826:0.374404:0.000000:0.000000
C:@0.438465:0.390765:0.448379:0.390765:0.448379:0.374404:0.438465:0.374404:0.000000
Donde:   = –2 ,    = –2 ,    =   +   – :@0.302506:0.414484:0.586194:0.414489:0.586194:0.398100:0.302506:0.398095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.360424:0.414484:0.370319:0.414484:0.370319:0.398123:0.360424:0.398123:0.000000
h B:@0.407580:0.414484:0.437212:0.414484:0.437212:0.398123:0.407580:0.398123:0.000000:0.000000:0.000000
k C:@0.474472:0.414484:0.503238:0.414484:0.503238:0.398123:0.474472:0.398123:0.000000:0.000000:0.000000
h:@0.522292:0.414484:0.531801:0.414484:0.531801:0.398123:0.522292:0.398123:0.000000
2:@0.531797:0.408442:0.537040:0.408442:0.537040:0.398887:0.531797:0.398887:0.000000
k:@0.556093:0.414489:0.563667:0.414489:0.563667:0.398128:0.556093:0.398128:0.000000
2:@0.563667:0.408442:0.568910:0.408442:0.568910:0.398887:0.563667:0.398887:0.000000
r:@0.586194:0.414489:0.591483:0.414489:0.591483:0.398128:0.586194:0.398128:0.000000
2:@0.591483:0.408442:0.596725:0.408442:0.596725:0.398887:0.591483:0.398887:0.000000
a) :@0.148451:0.837623:0.167173:0.837623:0.167173:0.820722:0.148451:0.820722:0.000000:0.000000:0.000000
C:@0.181694:0.837623:0.191608:0.837623:0.191608:0.821261:0.181694:0.821261:0.000000
 = (0, 0)  y    = 4:@0.191608:0.837623:0.303243:0.837623:0.303243:0.821234:0.191608:0.821234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.269907:0.837623:0.275196:0.837623:0.275196:0.821261:0.269907:0.821261:0.000000
 :@0.148451:0.915515:0.152265:0.915515:0.152265:0.898614:0.148451:0.898614:0.000000
b) :@0.540917:0.837623:0.560948:0.837623:0.560948:0.820722:0.540917:0.820722:0.000000:0.000000:0.000000
C:@0.574161:0.837623:0.584075:0.837623:0.584075:0.821261:0.574161:0.821261:0.000000
 = (–2, 3),    = 4:@0.584259:0.837623:0.695267:0.837623:0.695267:0.821234:0.584259:0.821234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.661194:0.837623:0.666483:0.837623:0.666483:0.821261:0.661194:0.821261:0.000000
 :@0.540917:0.915515:0.544732:0.915515:0.544732:0.898614:0.540917:0.898614:0.000000
a):@0.115354:0.522740:0.130262:0.522740:0.130262:0.505840:0.115354:0.505840:0.000000:0.000000
 :@0.130262:0.522740:0.133984:0.522740:0.133984:0.505605:0.130262:0.505605:0.000000
Sabemos:@0.148597:0.522740:0.219120:0.522740:0.219120:0.506116:0.148597:0.506116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que la ecuación canónica de la circunferencia :@0.219120:0.522740:0.557451:0.522740:0.557451:0.506352:0.219120:0.506352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con centro fuera del origen es::@0.148597:0.539337:0.371736:0.539337:0.371736:0.522948:0.148597:0.522948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        :@0.115354:0.622153:0.145133:0.622153:0.145133:0.605017:0.115354:0.605017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.147750:0.569337:0.153887:0.569337:0.153887:0.549404:0.147750:0.549404:0.000000
) (:@0.188641:0.569337:0.222051:0.569337:0.222051:0.549404:0.188641:0.549404:0.000000:0.000000:0.000000
):@0.256068:0.569337:0.262204:0.569337:0.262204:0.549404:0.256068:0.549404:0.000000
(:@0.147750:0.595112:0.153887:0.595112:0.153887:0.575179:0.147750:0.575179:0.000000
) (:@0.187904:0.595112:0.221313:0.595112:0.221313:0.575179:0.187904:0.575179:0.000000:0.000000:0.000000
):@0.254907:0.595112:0.261043:0.595112:0.261043:0.575179:0.254907:0.575179:0.000000
+:@0.203765:0.566882:0.213882:0.566882:0.213882:0.551309:0.203765:0.551309:0.000000
=:@0.272132:0.566882:0.282249:0.566882:0.282249:0.551309:0.272132:0.551309:0.000000
+:@0.203028:0.592662:0.213145:0.592662:0.213145:0.577089:0.203028:0.577089:0.000000
=:@0.270989:0.592662:0.281106:0.592662:0.281106:0.577089:0.270989:0.577089:0.000000
++:@0.358355:0.592662:0.392667:0.592662:0.392667:0.577089:0.358355:0.577089:0.000000:0.000000
+=:@0.448079:0.592662:0.482225:0.592662:0.482225:0.577089:0.448079:0.577089:0.000000:0.000000
+:@0.167057:0.616546:0.177174:0.616546:0.177174:0.600974:0.167057:0.600974:0.000000
+ =:@0.267414:0.616546:0.302666:0.616546:0.302666:0.600974:0.267414:0.600974:0.000000:0.000000:0.000000
xh:@0.155651:0.566204:0.188618:0.566204:0.188618:0.549843:0.155651:0.549843:0.000000:0.000000
yk:@0.223815:0.566204:0.254478:0.566204:0.254478:0.549843:0.223815:0.549843:0.000000:0.000000
r:@0.285179:0.566204:0.290467:0.566204:0.290467:0.549843:0.285179:0.549843:0.000000
x:@0.155669:0.591984:0.163132:0.591984:0.163132:0.575623:0.155669:0.575623:0.000000
y:@0.223096:0.591984:0.230577:0.591984:0.230577:0.575623:0.223096:0.575623:0.000000
x:@0.305707:0.591984:0.313170:0.591984:0.313170:0.575623:0.305707:0.575623:0.000000
x:@0.347796:0.591984:0.355259:0.591984:0.355259:0.575623:0.347796:0.575623:0.000000
y:@0.396168:0.591984:0.403650:0.591984:0.403650:0.575623:0.396168:0.575623:0.000000
y:@0.437520:0.591984:0.445001:0.591984:0.445001:0.575623:0.437520:0.575623:0.000000
x:@0.149219:0.615869:0.156683:0.615869:0.156683:0.599508:0.149219:0.599508:0.000000
y:@0.180675:0.615869:0.188157:0.615869:0.188157:0.599508:0.180675:0.599508:0.000000
x:@0.222764:0.615869:0.230227:0.615869:0.230227:0.599508:0.222764:0.599508:0.000000
y:@0.256837:0.615869:0.264318:0.615869:0.264318:0.599508:0.256837:0.599508:0.000000
–:@0.167002:0.566204:0.176216:0.566204:0.176216:0.549815:0.167002:0.549815:0.000000
–:@0.235166:0.566204:0.244380:0.566204:0.244380:0.549815:0.235166:0.549815:0.000000
: por lo tanto::@0.298502:0.566204:0.393128:0.566204:0.393128:0.549815:0.298502:0.549815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.301542:0.566204:0.304749:0.566204:0.304749:0.549815:0.301542:0.549815:0.000000
.:@0.304583:0.566204:0.307789:0.566204:0.307789:0.549815:0.304583:0.549815:0.000000
. .:@0.332482:0.566204:0.352126:0.566204:0.352126:0.549815:0.332482:0.549815:0.000000:0.000000:0.000000
–2:@0.167002:0.591984:0.187715:0.591984:0.187715:0.575595:0.167002:0.575595:0.000000:0.000000
–3:@0.234429:0.591984:0.255142:0.591984:0.255142:0.575595:0.234429:0.575595:0.000000:0.000000
3,:@0.283631:0.591984:0.302851:0.591984:0.302851:0.575595:0.283631:0.575595:0.000000:0.000000
–4:@0.324300:0.591984:0.345750:0.591984:0.345750:0.575595:0.324300:0.575595:0.000000:0.000000
4:@0.371199:0.591984:0.380191:0.591984:0.380191:0.575595:0.371199:0.575595:0.000000
– 6:@0.414762:0.591984:0.435843:0.591984:0.435843:0.575595:0.414762:0.575595:0.000000:0.000000:0.000000
9 9;:@0.460204:0.591984:0.497483:0.591984:0.497483:0.575595:0.460204:0.575595:0.000000:0.000000:0.000000:0.000000
–4 –6:@0.199287:0.615869:0.255178:0.615869:0.255178:0.599480:0.199287:0.599480:0.000000:0.000000:0.000000:0.000000:0.000000
40:@0.280277:0.615869:0.314184:0.615869:0.314184:0.599480:0.280277:0.599480:0.000000:0.000000
2:@0.195024:0.556657:0.200236:0.556657:0.200236:0.547159:0.195024:0.547159:0.000000
2:@0.262455:0.556657:0.267667:0.556657:0.267667:0.547159:0.262455:0.547159:0.000000
2:@0.291974:0.558541:0.297185:0.558541:0.297185:0.549043:0.291974:0.549043:0.000000
2:@0.194287:0.582426:0.199499:0.582426:0.199499:0.572928:0.194287:0.572928:0.000000
2:@0.261302:0.582426:0.266514:0.582426:0.266514:0.572928:0.261302:0.572928:0.000000
2:@0.292337:0.584310:0.297549:0.584310:0.297549:0.574812:0.292337:0.574812:0.000000
2:@0.314796:0.584310:0.320008:0.584310:0.320008:0.574812:0.314796:0.574812:0.000000
2:@0.405263:0.584310:0.410475:0.584310:0.410475:0.574812:0.405263:0.574812:0.000000
2:@0.158318:0.608195:0.163530:0.608195:0.163530:0.598697:0.158318:0.598697:0.000000
2:@0.189780:0.608195:0.194992:0.608195:0.194992:0.598697:0.189780:0.598697:0.000000
b):@0.115354:0.645879:0.131570:0.645879:0.131570:0.628979:0.115354:0.628979:0.000000:0.000000
 :@0.131570:0.645879:0.135293:0.645879:0.135293:0.628744:0.131570:0.628744:0.000000
En este caso :@0.148597:0.645879:0.253007:0.645879:0.253007:0.629490:0.148597:0.629490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sabemos:@0.258129:0.645879:0.326809:0.645879:0.326809:0.629255:0.258129:0.629255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que para la ecuación de la  :@0.326809:0.645879:0.557451:0.645879:0.557451:0.629490:0.326809:0.629490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunferencia con centro en el origen aplicamos::@0.148597:0.662476:0.509204:0.662476:0.509204:0.646087:0.148597:0.646087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115354:0.693746:0.119076:0.693746:0.119076:0.676610:0.115354:0.676610:0.000000
+:@0.170530:0.688135:0.180647:0.688135:0.180647:0.672562:0.170530:0.672562:0.000000
=:@0.202944:0.688135:0.213061:0.688135:0.213061:0.672562:0.202944:0.672562:0.000000
+:@0.343345:0.688135:0.353461:0.688135:0.353461:0.672562:0.343345:0.672562:0.000000
=:@0.375759:0.688135:0.385876:0.688135:0.385876:0.672562:0.375759:0.672562:0.000000
→:@0.406367:0.688135:0.424555:0.688135:0.424555:0.672562:0.406367:0.672562:0.000000
+:@0.446410:0.688135:0.456527:0.688135:0.456527:0.672562:0.446410:0.672562:0.000000
=:@0.502283:0.688135:0.512400:0.688135:0.512400:0.672562:0.502283:0.672562:0.000000
x:@0.152674:0.687457:0.160137:0.687457:0.160137:0.671096:0.152674:0.671096:0.000000
y:@0.184130:0.687457:0.191611:0.687457:0.191611:0.671096:0.184130:0.671096:0.000000
r:@0.215973:0.687457:0.221261:0.687457:0.221261:0.671096:0.215973:0.671096:0.000000
x:@0.325488:0.687457:0.332951:0.687457:0.332951:0.671096:0.325488:0.671096:0.000000
y:@0.356963:0.687457:0.364444:0.687457:0.364444:0.671096:0.356963:0.671096:0.000000
x:@0.428572:0.687457:0.436036:0.687457:0.436036:0.671096:0.428572:0.671096:0.000000
y:@0.460047:0.687457:0.467528:0.687457:0.467528:0.671096:0.460047:0.671096:0.000000
.:@0.229333:0.687457:0.232539:0.687457:0.232539:0.671068:0.229333:0.671068:0.000000
por lo tanto::@0.232373:0.687457:0.317878:0.687457:0.317878:0.671068:0.232373:0.671068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. .:@0.257232:0.687457:0.276876:0.687457:0.276876:0.671068:0.257232:0.671068:0.000000:0.000000:0.000000
..:@0.317601:0.687457:0.323848:0.687457:0.323848:0.671068:0.317601:0.671068:0.000000:0.000000
3:@0.388415:0.687457:0.397408:0.687457:0.397408:0.671068:0.388415:0.671068:0.000000
–90:@0.478674:0.687457:0.523932:0.687457:0.523932:0.671068:0.478674:0.671068:0.000000:0.000000:0.000000
2:@0.161787:0.679795:0.166999:0.679795:0.166999:0.670297:0.161787:0.670297:0.000000
2:@0.193249:0.679795:0.198461:0.679795:0.198461:0.670297:0.193249:0.670297:0.000000
2:@0.222779:0.679795:0.227990:0.679795:0.227990:0.670297:0.222779:0.670297:0.000000
2:@0.334605:0.679795:0.339817:0.679795:0.339817:0.670297:0.334605:0.670297:0.000000
2:@0.366068:0.679795:0.371279:0.679795:0.371279:0.670297:0.366068:0.670297:0.000000
2:@0.397113:0.679795:0.402325:0.679795:0.402325:0.670297:0.397113:0.670297:0.000000
2:@0.437685:0.679795:0.442897:0.679795:0.442897:0.670297:0.437685:0.670297:0.000000
2:@0.469148:0.679795:0.474359:0.679795:0.474359:0.670297:0.469148:0.670297:0.000000
Shutterstock, 265359626.:@0.896204:0.699585:0.896204:0.611760:0.882308:0.611760:0.882308:0.699585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.212761:0.890961:0.220224:0.890961:0.220224:0.874600:0.212761:0.874600:0.000000
2:@0.220224:0.884914:0.225467:0.884914:0.225467:0.875359:0.220224:0.875359:0.000000
 +   – 16 = 0:@0.225468:0.890961:0.320563:0.890961:0.320563:0.874572:0.225468:0.874572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.244522:0.890961:0.252004:0.890961:0.252004:0.874600:0.244522:0.874600:0.000000
2:@0.252002:0.884914:0.257245:0.884914:0.257245:0.875359:0.252002:0.875359:0.000000
x:@0.606431:0.890961:0.613894:0.890961:0.613894:0.874600:0.606431:0.874600:0.000000
2:@0.613886:0.884914:0.619128:0.884914:0.619128:0.875359:0.613886:0.875359:0.000000
 +   + 4  – 6  – 3 = 0:@0.619129:0.890961:0.774501:0.890961:0.774501:0.874572:0.619129:0.874572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.638183:0.890961:0.645665:0.890961:0.645665:0.874600:0.638183:0.874600:0.000000
2:@0.645665:0.884914:0.650908:0.884914:0.650908:0.875359:0.645665:0.875359:0.000000
x:@0.678954:0.890961:0.686417:0.890961:0.686417:0.874600:0.678954:0.874600:0.000000
y:@0.712695:0.890961:0.720176:0.890961:0.720176:0.874600:0.712695:0.874600:0.000000