142:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
 Vectores geométricos en el plano:@0.073089:0.043661:0.371606:0.043661:0.371606:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Denotamos con   a un plano. Se llama bipunto a todo par ordenado ( ,  )        . El :@0.293660:0.240389:0.930914:0.240389:0.930914:0.223955:0.293660:0.223955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.415424:0.239834:0.427702:0.239834:0.427702:0.226118:0.415424:0.226118:0.000000
A B:@0.804645:0.240389:0.830655:0.240389:0.830655:0.223983:0.804645:0.223983:0.000000:0.000000:0.000000
[:@0.839619:0.240250:0.854953:0.240250:0.854953:0.226202:0.839619:0.226202:0.000000
p 3 p:@0.859094:0.239834:0.907266:0.239834:0.907266:0.226118:0.859094:0.226118:0.000000:0.000000:0.000000:0.000000:0.000000
punto       se llama origen y el punto      , el extremo. Diremos ( ,  )         es el :@0.293623:0.257031:0.930919:0.257031:0.930919:0.240597:0.293623:0.240597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.342384:0.257031:0.352269:0.257031:0.352269:0.240625:0.342384:0.240625:0.000000
[:@0.356190:0.256892:0.371523:0.256892:0.371523:0.242843:0.356190:0.242843:0.000000
p:@0.375425:0.256476:0.387703:0.256476:0.387703:0.242760:0.375425:0.242760:0.000000
B:@0.583353:0.257031:0.592189:0.257031:0.592189:0.240625:0.583353:0.240625:0.000000
[:@0.596110:0.256892:0.611443:0.256892:0.611443:0.242843:0.596110:0.242843:0.000000
p:@0.615345:0.256476:0.627623:0.256476:0.627623:0.242760:0.615345:0.242760:0.000000
A B:@0.789165:0.257031:0.814935:0.257031:0.814935:0.240625:0.789165:0.240625:0.000000:0.000000:0.000000
[:@0.823660:0.256892:0.838993:0.256892:0.838993:0.242843:0.823660:0.242843:0.000000
p 3 p:@0.842896:0.256476:0.890589:0.256476:0.890589:0.242760:0.842896:0.242760:0.000000:0.000000:0.000000:0.000000:0.000000
bipunto de origen   y extremo  .:@0.293605:0.273672:0.533231:0.273672:0.533231:0.257239:0.293605:0.257239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.430371:0.273672:0.440255:0.273672:0.440255:0.257266:0.430371:0.257266:0.000000
B:@0.521266:0.273672:0.530101:0.273672:0.530101:0.257266:0.521266:0.257266:0.000000
El bipunto ( ,  ) es, en general, distinto del bipunto ( ,  ). De esto se sigue que  :@0.293586:0.304612:0.930864:0.304612:0.930864:0.288179:0.293586:0.288179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.386377:0.304612:0.415387:0.304612:0.415387:0.288206:0.386377:0.288206:0.000000:0.000000:0.000000
B A:@0.715370:0.304612:0.744380:0.304612:0.744380:0.288206:0.715370:0.288206:0.000000:0.000000:0.000000
( ,  )   ( ,  ) si y solo si      . Sean  ,       con      , al bipunto ( ,  ) se lo representa :@0.293586:0.321254:0.930851:0.321254:0.930851:0.304820:0.293586:0.304820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.298391:0.321254:0.323922:0.321254:0.323922:0.304848:0.298391:0.304848:0.000000:0.000000:0.000000
5:@0.332407:0.320699:0.347741:0.320699:0.347741:0.306984:0.332407:0.306984:0.000000
B A:@0.356208:0.321254:0.381739:0.321254:0.381739:0.304848:0.356208:0.304848:0.000000:0.000000:0.000000
A:@0.464406:0.321254:0.474291:0.321254:0.474291:0.304848:0.464406:0.304848:0.000000
5:@0.477972:0.320699:0.493305:0.320699:0.493305:0.306984:0.477972:0.306984:0.000000
B:@0.496968:0.321254:0.505804:0.321254:0.505804:0.304848:0.496968:0.304848:0.000000
A B:@0.551840:0.321254:0.577371:0.321254:0.577371:0.304848:0.551840:0.304848:0.000000:0.000000:0.000000
[:@0.581053:0.321116:0.596386:0.321116:0.596386:0.307067:0.581053:0.307067:0.000000
p:@0.600049:0.320699:0.612327:0.320699:0.612327:0.306984:0.600049:0.306984:0.000000
A:@0.647374:0.321254:0.657259:0.321254:0.657259:0.304848:0.647374:0.304848:0.000000
Þ:@0.660940:0.320699:0.676273:0.320699:0.676273:0.306984:0.660940:0.306984:0.000000
B:@0.679936:0.321254:0.688772:0.321254:0.688772:0.304848:0.679936:0.304848:0.000000
A B:@0.778599:0.321254:0.804130:0.321254:0.804130:0.304848:0.778599:0.304848:0.000000:0.000000:0.000000
geométricamente en el plano   con una flecha que une el punto de origen   con el :@0.293494:0.337896:0.930790:0.337896:0.930790:0.321462:0.293494:0.321462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.520971:0.337341:0.533249:0.337341:0.533249:0.323626:0.520971:0.323626:0.000000
A:@0.866144:0.337896:0.876029:0.337896:0.876029:0.321490:0.866144:0.321490:0.000000
extremo  . La recta :@0.293494:0.354538:0.435179:0.354538:0.435179:0.338104:0.293494:0.338104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.358656:0.354538:0.367492:0.354538:0.367492:0.338132:0.358656:0.338132:0.000000
AB:@0.435046:0.354538:0.453693:0.354538:0.453693:0.338132:0.435046:0.338132:0.000000:0.000000
 se llama :@0.453638:0.354538:0.520456:0.354538:0.520456:0.338104:0.453638:0.338104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soporte del bipunto :@0.520309:0.354538:0.675817:0.354538:0.675817:0.337868:0.520309:0.337868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ).:@0.675666:0.354538:0.714119:0.354538:0.714119:0.338104:0.675666:0.338104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.680470:0.354538:0.706185:0.354538:0.706185:0.338132:0.680470:0.338132:0.000000:0.000000:0.000000
De la definición de igualdad de pares ordenados, se dirá que los bipuntos ( ,  ) y ( ,  ) :@0.293476:0.385478:0.930790:0.385478:0.930790:0.369044:0.293476:0.369044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.840392:0.385478:0.866604:0.385478:0.866604:0.369072:0.840392:0.369072:0.000000:0.000000:0.000000
C D:@0.893019:0.385478:0.921918:0.385478:0.921918:0.369072:0.893019:0.369072:0.000000:0.000000:0.000000
son iguales si y solo si       y      . Escribiremos ( ,  )   ( ,  ). Su negación se escribe :@0.293513:0.402120:0.931059:0.402113:0.931059:0.385680:0.293513:0.385686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.453380:0.402120:0.463265:0.402120:0.463265:0.385714:0.453380:0.385714:0.000000
5:@0.467075:0.401565:0.482408:0.401565:0.482408:0.387849:0.467075:0.387849:0.000000
C B:@0.486200:0.402120:0.520658:0.402120:0.520658:0.385714:0.486200:0.385714:0.000000:0.000000:0.000000
5:@0.524469:0.401565:0.539802:0.401565:0.539802:0.387849:0.524469:0.387849:0.000000
D:@0.543594:0.402120:0.555117:0.402120:0.555117:0.385714:0.543594:0.385714:0.000000
A B:@0.662726:0.402120:0.688385:0.402120:0.688385:0.385714:0.662726:0.385714:0.000000:0.000000:0.000000
5:@0.697000:0.401565:0.712333:0.401565:0.712333:0.387849:0.697000:0.387849:0.000000
C D:@0.721113:0.402113:0.749479:0.402113:0.749479:0.385707:0.721113:0.385707:0.000000:0.000000:0.000000
( ,  )   ( ,  ).:@0.293660:0.418755:0.393188:0.418755:0.393188:0.402321:0.293660:0.402321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.298464:0.418755:0.324179:0.418755:0.324179:0.402349:0.298464:0.402349:0.000000:0.000000:0.000000
Þ:@0.332849:0.418200:0.348182:0.418200:0.348182:0.404485:0.332849:0.404485:0.000000
C D:@0.356834:0.418755:0.385255:0.418755:0.385255:0.402349:0.356834:0.402349:0.000000:0.000000:0.000000
Dos bipuntos ( ,  ) y ( ,  ) tienen la misma dirección si sus soportes son paralelos o :@0.293623:0.449695:0.931043:0.449695:0.931043:0.433261:0.293623:0.433261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.404545:0.449695:0.431715:0.449695:0.431715:0.433289:0.404545:0.433289:0.000000:0.000000:0.000000
C D:@0.460062:0.449695:0.489918:0.449695:0.489918:0.433289:0.460062:0.433289:0.000000:0.000000:0.000000
coinciden. Además, estos dos bipuntos de la misma dirección pueden ser del mismo :@0.293660:0.466337:0.931039:0.466337:0.931039:0.449903:0.293660:0.449903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sentido o de sentidos contrarios.:@0.293660:0.482979:0.529426:0.482979:0.529426:0.466545:0.293660:0.466545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La longitud de un bipunto ( ,  ) es la distancia  ( ,  ).:@0.293660:0.513919:0.679568:0.513919:0.679568:0.497485:0.293660:0.497485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.493637:0.513919:0.519351:0.513919:0.519351:0.497513:0.493637:0.497513:0.000000:0.000000:0.000000
d A B:@0.631930:0.513919:0.671635:0.513919:0.671635:0.497513:0.631930:0.497513:0.000000:0.000000:0.000000:0.000000:0.000000
Nótese que los bipuntos ( ,  ) y ( ,  ) tienen la misma dirección y la :@0.293623:0.544859:0.785881:0.544859:0.785881:0.528425:0.293623:0.528425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.480218:0.544859:0.506061:0.544859:0.506061:0.528453:0.480218:0.528453:0.000000:0.000000:0.000000
B A:@0.531740:0.544859:0.557583:0.544859:0.557583:0.528453:0.531740:0.528453:0.000000:0.000000:0.000000
misma longitud pero son de sentidos contrarios.:@0.293605:0.561501:0.644197:0.561501:0.644197:0.545067:0.293605:0.545067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los bipuntos ( ,  ) y ( ,  ) son equipolentes si y solo si los segmentos :@0.293605:0.592440:0.785909:0.592440:0.785909:0.576007:0.293605:0.576007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.393869:0.592440:0.418885:0.592440:0.418885:0.576034:0.393869:0.576034:0.000000:0.000000:0.000000
C D:@0.442888:0.592440:0.470609:0.592440:0.470609:0.576034:0.442888:0.576034:0.000000:0.000000:0.000000
[ ,  ] y [ ,  ] tienen el mismo punto medio.:@0.293586:0.609082:0.607084:0.609082:0.607084:0.592648:0.293586:0.592648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.298391:0.609082:0.324106:0.609082:0.324106:0.592676:0.298391:0.592676:0.000000:0.000000:0.000000
C D:@0.349545:0.609082:0.377965:0.609082:0.377965:0.592676:0.349545:0.592676:0.000000:0.000000:0.000000
Escribiremos ( ,  )   ( ,  ). En la Figura 1.1. se muestran dos bipuntos equipolentes. :@0.293550:0.640022:0.930558:0.640022:0.930558:0.623588:0.293550:0.623588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.397680:0.640022:0.424793:0.640022:0.424793:0.623616:0.397680:0.623616:0.000000:0.000000:0.000000
,:@0.434862:0.640605:0.450195:0.640605:0.450195:0.622951:0.434862:0.622951:0.000000
C D:@0.460301:0.640022:0.490121:0.640022:0.490121:0.623616:0.460301:0.623616:0.000000:0.000000:0.000000
Obsérvese que el paralelogramo :@0.293513:0.656664:0.531447:0.656664:0.531447:0.640230:0.293513:0.640230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ACDB:@0.530930:0.656664:0.570511:0.656664:0.570511:0.640258:0.530930:0.640258:0.000000:0.000000:0.000000:0.000000
 y los segmentos de recta  ,   y  ,   (diagonales :@0.570437:0.656664:0.930820:0.656664:0.930820:0.640230:0.570437:0.640230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.755535:0.657247:0.759621:0.657247:0.759621:0.639592:0.755535:0.639592:0.000000
A D:@0.759511:0.656664:0.787453:0.656664:0.787453:0.640258:0.759511:0.640258:0.000000:0.000000:0.000000
4 3:@0.787361:0.657247:0.810488:0.657247:0.810488:0.639592:0.787361:0.639592:0.000000:0.000000:0.000000
B C:@0.810370:0.656664:0.835643:0.656664:0.835643:0.640258:0.810370:0.640258:0.000000:0.000000:0.000000
4:@0.835551:0.657247:0.839638:0.657247:0.839638:0.639592:0.835551:0.639592:0.000000
del paralelogramo) se intersectan en el punto  .:@0.293531:0.673306:0.634434:0.673306:0.634434:0.656872:0.293531:0.656872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.627476:0.673306:0.631304:0.673306:0.631304:0.656900:0.627476:0.656900:0.000000
Definición:@0.293531:0.704246:0.371501:0.704246:0.371501:0.687576:0.293531:0.687576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea ( ,  ) un bipunto en el plano  . El conjunto de bipuntos (:@0.293531:0.735186:0.766776:0.735186:0.766776:0.718752:0.293531:0.718752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P Q:@0.330272:0.735186:0.359742:0.735186:0.359742:0.718780:0.330272:0.718780:0.000000:0.000000:0.000000
p:@0.552227:0.734631:0.564504:0.734631:0.564504:0.720915:0.552227:0.720915:0.000000
M, N:@0.767058:0.735186:0.800173:0.735186:0.800173:0.718780:0.767058:0.718780:0.000000:0.000000:0.000000:0.000000
) equipolentes al :@0.800283:0.735186:0.930739:0.735186:0.930739:0.718752:0.800283:0.718752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bipunto ( ,  ) es la clase de equivalencia del bipunto ( ,  ) denominado vector :@0.293531:0.751828:0.930846:0.751828:0.930846:0.735394:0.293531:0.735394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P Q:@0.366921:0.751828:0.397937:0.751828:0.397937:0.735422:0.366921:0.735422:0.000000:0.000000:0.000000
P Q:@0.730078:0.751828:0.761094:0.751828:0.761094:0.735422:0.730078:0.735422:0.000000:0.000000:0.000000
geométrico :@0.293568:0.768469:0.382689:0.768469:0.382689:0.752036:0.293568:0.752036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PQ:@0.382549:0.768469:0.403110:0.768469:0.403110:0.752063:0.382549:0.752063:0.000000:0.000000
::@0.403054:0.768469:0.406257:0.768469:0.406257:0.752036:0.403054:0.752036:0.000000
PQ:@0.473260:0.799409:0.493821:0.799409:0.493821:0.783003:0.473260:0.783003:0.000000:0.000000
 =  ( ,  ) :@0.493765:0.799409:0.562240:0.799409:0.562240:0.782976:0.493765:0.782976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.512559:0.799992:0.516646:0.799992:0.516646:0.782338:0.512559:0.782338:0.000000
M N:@0.521358:0.799409:0.553479:0.799409:0.553479:0.783003:0.521358:0.783003:0.000000:0.000000:0.000000
[:@0.562148:0.799271:0.577482:0.799271:0.577482:0.785222:0.562148:0.785222:0.000000
p 3 p:@0.577390:0.798855:0.625009:0.798855:0.625009:0.785139:0.577390:0.785139:0.000000:0.000000:0.000000:0.000000:0.000000
     І ( ,  )   ( ,  ) :@0.589575:0.799409:0.743192:0.799385:0.743192:0.782952:0.589575:0.782976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M N:@0.641410:0.799409:0.673531:0.799409:0.673531:0.783003:0.641410:0.783003:0.000000:0.000000:0.000000
,:@0.682319:0.799968:0.697652:0.799968:0.697652:0.782314:0.682319:0.782314:0.000000
p Q:@0.706304:0.799385:0.734430:0.799385:0.734430:0.782979:0.706304:0.782979:0.000000:0.000000:0.000000
6:@0.743100:0.799968:0.747186:0.799968:0.747186:0.782314:0.743100:0.782314:0.000000
El conjunto :@0.293632:0.830325:0.380547:0.830325:0.380547:0.813892:0.293632:0.813892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PQ:@0.380956:0.830325:0.401535:0.830325:0.401535:0.813919:0.380956:0.813919:0.000000:0.000000
 tiene una infinidad de bipuntos ( ,  ) equipolentes con ( ,  ). Además, :@0.401480:0.830325:0.930869:0.830325:0.930869:0.813892:0.401480:0.813892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M N:@0.645431:0.830325:0.678012:0.830325:0.678012:0.813919:0.645431:0.813919:0.000000:0.000000:0.000000
P Q:@0.824110:0.830325:0.852200:0.830325:0.852200:0.813919:0.824110:0.813919:0.000000:0.000000:0.000000
todos los bipuntos ( ,  ) equipolentes con ( ,  ) son aquellos que tienen la misma :@0.293632:0.846967:0.931093:0.846967:0.931093:0.830533:0.293632:0.830533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M N:@0.445381:0.846967:0.479232:0.846967:0.479232:0.830561:0.445381:0.830561:0.000000:0.000000:0.000000
P Q:@0.631736:0.846967:0.661096:0.846967:0.661096:0.830561:0.631736:0.830561:0.000000:0.000000:0.000000
dirección, longitud y el mismo sentido que el bipunto ( ,  ). El bipunto ( ,  ) se llama :@0.293595:0.863609:0.930817:0.863609:0.930817:0.847175:0.293595:0.847175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P Q:@0.701813:0.863609:0.730252:0.863609:0.730252:0.847203:0.701813:0.847203:0.000000:0.000000:0.000000
P Q:@0.828804:0.863609:0.857243:0.863609:0.857243:0.847203:0.828804:0.847203:0.000000:0.000000:0.000000
representante del vector geométrico :@0.293576:0.880251:0.564631:0.880251:0.564631:0.863817:0.293576:0.863817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PQ:@0.564347:0.880251:0.584908:0.880251:0.584908:0.863845:0.564347:0.863845:0.000000:0.000000
.:@0.584853:0.880251:0.588056:0.880251:0.588056:0.863817:0.584853:0.863817:0.000000
Tema 1. Vectores en el plano:@0.073089:0.098522:0.491901:0.098522:0.491901:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿De qué manera las fuerzas físicas aplicadas sobre un cuerpo se :@0.293660:0.167871:0.786137:0.167871:0.786137:0.151437:0.293660:0.151437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representan con vectores?:@0.293660:0.184513:0.484761:0.184513:0.484761:0.168079:0.293660:0.168079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La línea recta en el plano :@0.078581:0.285972:0.245990:0.285972:0.245990:0.271032:0.078581:0.271032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es uno de los conjuntos :@0.078581:0.301101:0.239437:0.301101:0.239437:0.286161:0.078581:0.286161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más sencillos de estudiarse. :@0.078581:0.316230:0.263015:0.316230:0.263015:0.301290:0.078581:0.301290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordemos que los :@0.078581:0.331359:0.217024:0.331359:0.217024:0.316419:0.078581:0.316419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos :@0.078581:0.346488:0.141253:0.346488:0.141253:0.331548:0.078581:0.331548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto recta:@0.141149:0.346488:0.224544:0.346488:0.224544:0.331334:0.141149:0.331334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.183385:0.346488:0.189895:0.346488:0.189895:0.331548:0.183385:0.331548:0.000000:0.000000
 :@0.224534:0.346488:0.228198:0.346488:0.228198:0.331548:0.224534:0.331548:0.000000
y :@0.078581:0.361617:0.089542:0.361617:0.089542:0.346677:0.078581:0.346677:0.000000:0.000000
plano:@0.089458:0.361617:0.129201:0.361617:0.129201:0.346463:0.089458:0.346463:0.000000:0.000000:0.000000:0.000000:0.000000
 son conceptos :@0.129117:0.361617:0.233714:0.361617:0.233714:0.346677:0.129117:0.346677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primitivos, es decir, que :@0.078581:0.376746:0.236289:0.376746:0.236289:0.361806:0.078581:0.361806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no se definen. Además, un :@0.078581:0.391875:0.256547:0.391875:0.256547:0.376935:0.078581:0.376935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
axioma de la geometría :@0.078581:0.407004:0.237931:0.407004:0.237931:0.392064:0.078581:0.392064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
euclídea establece que :@0.078581:0.422133:0.234172:0.422133:0.234172:0.407193:0.078581:0.407193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dados dos puntos  ,   :@0.078581:0.437262:0.227864:0.437262:0.227864:0.422322:0.078581:0.422322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.200822:0.437262:0.224199:0.437262:0.224199:0.422347:0.200822:0.422347:0.000000:0.000000:0.000000
distintos en un plano  , :@0.078564:0.452391:0.239142:0.452391:0.239142:0.437451:0.078564:0.437451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.221488:0.451886:0.232650:0.451886:0.232650:0.439418:0.221488:0.439418:0.000000
pasa por dichos puntos :@0.078564:0.467520:0.237036:0.467520:0.237036:0.452580:0.078564:0.452580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una y solo una recta  . :@0.078564:0.482648:0.227931:0.482648:0.227931:0.467709:0.078564:0.467709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.214493:0.482648:0.221421:0.482648:0.221421:0.467734:0.214493:0.467734:0.000000
*Dos vectores fijos   y :@0.078564:0.497777:0.235059:0.497777:0.235059:0.482838:0.078564:0.482838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB CD:@0.203600:0.497777:0.254387:0.497777:0.254387:0.482863:0.203600:0.482863:0.000000:0.000000:0.000000:0.000000:0.000000
no nulos son equipolentes:@0.078581:0.512906:0.254263:0.512906:0.254263:0.497967:0.078581:0.497967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si tienen el mismo módulo,:@0.078581:0.528035:0.257511:0.528035:0.257511:0.513095:0.078581:0.513095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la misma dirección y el:@0.078581:0.543164:0.228434:0.543164:0.228434:0.528224:0.078581:0.528224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mismo sentido.:@0.078581:0.558293:0.180032:0.558293:0.180032:0.543353:0.078581:0.543353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se designan por :@0.078581:0.573422:0.189063:0.573422:0.189063:0.558482:0.078581:0.558482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.188907:0.573422:0.205859:0.573422:0.205859:0.558508:0.188907:0.558508:0.000000:0.000000
 ~ :@0.205808:0.573422:0.222977:0.573422:0.222977:0.558482:0.205808:0.558482:0.000000:0.000000:0.000000
CD:@0.222894:0.573422:0.242305:0.573422:0.242305:0.558508:0.222894:0.558508:0.000000:0.000000
.:@0.242255:0.573422:0.245167:0.573422:0.245167:0.558482:0.242255:0.558482:0.000000
Competencia :@0.078581:0.243495:0.187141:0.243495:0.187141:0.226548:0.078581:0.226548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.260137:0.176057:0.260137:0.176057:0.243190:0.078581:0.243190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.796402:0.523630:0.805238:0.523630:0.805238:0.507224:0.796402:0.507224:0.000000
D:@0.899428:0.523630:0.910951:0.523630:0.910951:0.507224:0.899428:0.507224:0.000000
C:@0.888549:0.600099:0.898452:0.600099:0.898452:0.583693:0.888549:0.583693:0.000000
A:@0.788377:0.600113:0.798262:0.600113:0.798262:0.583707:0.788377:0.583707:0.000000
I:@0.844604:0.553737:0.848433:0.553737:0.848433:0.537331:0.844604:0.537331:0.000000
Figura 1.1.:@0.814530:0.615721:0.887563:0.615721:0.887563:0.599288:0.814530:0.599288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 5 (Ev. 2) Identifica las propiedades de lugares geométricos a través de sus representación en un sistema de referencia.:@0.276874:0.971366:0.918611:0.971366:0.918611:0.959414:0.276874:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000