UNIVERSIDAD NACIONAL DE COLOMBIA FACULTAD DE MINAS LABORATORIO DE TOPOGRAFIA OSCAR OSC AR ZAPATA ZAPATA GRUPO GRUP O 1 FABIAN FABIAN ARLEY RAMIREZ H CARNET 71388866 FECHA 4 III III 2015 2015 AGRIMENSURA EN GRECIA Y ROMA E !" #$%&'($" )* !" #+,"$)")- !'% .+*/!'% %* )*%"(('!!"/" %$,+!&*",*&* ' %* .+*)* .+*)* "&($/+ "&($/+$( $( &')'% &')'% !'% (*!*" (*!*"&* &*%% #$%&( #$%&($' $'%% " + %'!' %'!' .+*/!' .+*/!'-- &')'% &')'% !'% (")*% (")*% )*%"(('!!'% )* !" #+,"$)") %* *%&"/!** .'( !" "(*"$ )* ''$,$*&'% *&(* !"% )$*(*&*% )$*(*&*% &($/+% !"% **%$)")*% **%$)")*% +* %* .(*%*&"/" .(*%*&"/" * %+ (*$*&* (*$*&* ",$' ",$' " '(,"( $,.*($'%$,.*($'%- *! "(&*( "(&*( )* !"% )$*(*&*% )$*(*&*% $$!$"$ $$!$"$'*% '*% %* *9" '(,")' '(,")' .'( %+% )$*(*&*% )$*(*&*% '%&+,/(*%- +* "/"("/" *! ,/$&' +!&+("! (*!$$'%' *',$'- *% "%9 ',' +")' * *! )** )**%' %' )* +" +!& +!&+( +(" " *%&" *%&" "/%'(/ "/%'(/$) $)" " !'% !'% *!*, *!*,* *&' &'%% ,% ,% ,"( ,"(" "&* &*%% )* !" $$!$"$ '+$%&")"- *% /$* %"/$)' +* +")' )'% $$!$"$'*% %* *+*&(" *:$% *:$%&* &* )'% )'% .'%$ .'%$/$ /$!$!$)") )")*% *% !" )*%& )*%&(+ (+ $ $ )* !"% !"% ,$%, ,$%,"% "% .'( .'( !"% !"% "%$ "%$"% "% )* .')* .')*(( .'%*%$- " !'% $&*(*%*% )* ")" *,.*(")'( ' !" "%$,$!"$ )* %+ +!&+("; ,
L" $$!$"$ G($*" "* * !'% "!/'(*% )* !" #+,"$)") *(" )*! 3 ,$!*$' "&*% )* ($%&'- +' )* !'% .($,*('% .+*/!'% +* #"/$&"(' *%&" (*$ +*(' !" +!&+(" M$<$" !!",")" "%9 .'( %+ $+)") .($$."!- !"% "("&*(9%&$"% )* *%&* .+*/!' *(" %$,$!"(*% " !'% )* !" $$!$"$ /"/$!$" " *:&$+$)" .'( !'% "%$($'% * %$!'% ."%")'%- "++* .*()+("/" *! "(&*( ("$'"! * %+% .'%$/!*% #*(*)*('%- !'% +"!*% '&*,.!"/" !" /*!!*" )* %+ *&'(' ',' + (*"!' )$$' *%&"/!*9" +* %$ *! %*( #+,"' .')9" ".(*$"( &')" !" /*!!*"- *(" *! ,$%,' +$* )*/9" +!&$"(!"- )* *%&"% $)*"% *! #',/(* ($*' %* *%&"/!** ',' + %*( !$'- ,*&)$'- +" (" '(," )* ,'%&("( *%&' +* !'% (*!"&'% " *(" )* *%&" *%&" +!&+(" (*"!$")"% .'( #',*(' * %+% .'*," !" I!9")" I!9")" !" O)$%*")')* %* )*'&" !"(",*&* *! ,"("&* )*%"(('!!' )* !" $$!$"$ ($*" * %+% '+$%&"% !" )*%($.$ )* %+% $+)")*%; E *! ",.' )* !" *'("9" %* .(')+=' + $,.'(&"&* ""* * *! ''$,$*&' )*! M+)' * +"&' " %+ '(,"- %+% )$,*%$'*% * $!+%' %* !!*"(' " )*%"(('!!"( "!+"% #$.&*%$% )* ,' )*/9" '("$"(%* !" &$*((" *! "+" %'/(* %+ %+.*($$*; I$$"!,*&* * *! ,+)' ($*'- "! $+"! +* * &')' *! ,+)' "&$+'- %* .*%"/" +* !" T$*(( T$*((" " &*9" &*9" '(, '(," " )$%' )$%'$)" $)"!-!- &"! &"! ',' ',' !" )*% )*%($/ ($/* * H',*( H',*(''- %$ %$ *,/" *,/"(' (' *,.*" *,.*"(' (' " %+($( %+($( !"% .($,*( .($,*("% "% '*% '*% )$%(* )$%(*." ."&*% &*% +* ".+&" ".+&"/" /" #"$" #"$" !" *%*($$)") +* * *! %$!' V ""/ .'( '$(,"(%* ("$"% " !'% %*$% "(+,*&'% ,"&*,&$'% )* A($%&&*!*% "! *%&+)$' "%&(',$' )* !" %',/(" )* !" T$*((" T$*((" )+("&* !'% *!$.%*% )* %'!; O&(" ".'(&"$ ".'(&"$ )*%&"")" )*%&"")" )* *%&* .*($')' .*($')' .'( %+ (*.*(+%$ (*.*(+%$ * !" "(&'("9 "(&'("9" " )*! R*"$,$* R*"$,$*&' &' +* !" (*.(*%*&"$ (*.(*%*&"$ )*! ,+)' '("$")' '("$")' * +"&(' +"&(' '&$*&*% '&$*&*%-)$%&($/+$)'% %$,<&($",*&* %*."(")'% .'( ,"%"% )* "+"; L" (*.(*%*&"$ )*! ,+)' ''$)'- )*/$)' " %+ .'!9&$" '!'$")'(" ',*($"! .($,*(' ,% &"()* " !"% ",.">"% )* '+$%&" (*"!$")"% .'( A!*=")(' M"'- !'% ($*'% ($*'% !!*"(' !!*"(' " "(&'("$" "(&'("$"(( &')' *! ,+)' ,*)$&*((*' ,*)$&*((*' !" '%&" "&!&$" "&!&$" #"%&" I!"&*((" I!"&*(("-- ?($" ?($" ' *! N$!' N$!' )*%)* )*%)* %+ "*)*(' "*)*(' (" (" ."(&* )* A%$" A%$" - !!*")' !!*")'
#"%&" !" P*9%+!" )*! D* C#$" ; A!' +* $+" '&(" +!&+(" #"/9" !'(")' #"%&" *&'*%; S* #" +*%&$'")' %$ %' (*"!,*&* .('.$"% ' #*(*)")"% )* /"/$!'$'% *$.$'%- * +"!+$*( "%'- " &("<% )* !'% ($*'% '% !!* +" %*($* )* '$'*% * $'"$'*% ,"&*,&$"% )* (" $!+*$" ."(" !" "(&'("9" ',' !' %' *! )*%"(('!!' )* !" '$ )*! A+!'- !" $(("$'"!$)") )* !'% @,*('%- *! &*'(*," )* P$&'("%- !" *',*&(9" )* E+!$)*%- *! ,<&')' ."(" ,*)$( (*"% '!@,**% *&(* '&('%; L" $$!$"$ ($*" %* +* *%&(+&+(")' * /"%* " .*+*>'% *%&")'%- !'% +"!*% (*9" )* '(," $)*.*)$*&* .*(' ' ',' + '!',*(")' )* *%&")'%- * *%&" *&"." !" +!&+(" #*!<$" %* $' "/'")" " *! ,"( **' *! ',*($' )")" " !"% !$,$&"$'*% )* %+ )*%.*%" "("($"- %* +*!* (")*% "*"&*%- !' +* )*'&" "."$)") )* '($*&"$ " /"%* )* +" "(&'("9" .($,$&$" )*! %+% "!(*)*)'(*%- (*9" * *! ,+)' ',' +" '(," *%*('$)*- )* %+ !*")' ',*($"! ,*("&$! "* )*'&"( !" *%($&+(" "%$,$!")" .'( !'% *$.$'% !'% .($$.$'% ,"&*,&$'% +* #' ($* (")*% &*'(9"%*%&* .+*/!' )* +*(" $*"/!* ,*&')'!'9" *%&(+&+(")" +* "/%'(/$)' .'( ('," * %+ '+$%&" * *! ">' )* 168 "C- "+ "%9 !"% '&($/+$'*% )* !'% *%&")'% ($*'% .*(&**$*&*% " R'," )*%.+<% )*! %$!' V "&*% )*! %$!' II #$$*(' !'(**( !" )*,'("$" !" '(," )* *%&")' ")'.&")" .'%&*($'(,*&* .'( !'% (',"'%; L'% ($*'% $*&"(' ,+#"% &*'!'9"% ,*='("(' '&("% " *:$%&*&*%- %'/(* &')' )+("&* *! .*($')' #*!*9%&$'; H*( )* A!*=")(9" $*& + ,'&'( " ".'( /%$' )*,'%&( +* &*9" ''$,$*&'% )* %$%&*,"% ,*$'% *+,&$'%; A(+9,*)*% $*& ,+#"% ,+$"%; L'% ($*'% +*(' @$'% * !" *(" .(*$)+%&($"! .'( %+ "."$)") )* ',/$"( !"% $*%&$"$'*% $*&9$"% ' *! )*%"(('!!' )* +*"% &*'!'9"%; U *=*,.!' *% *! &'($!!' )* A(+9,*)*%- +* .($,*(' %* '$/$ ,"&*,&$",*&* ,% &"()* %* '%&(+; T",/$< $*&"(' !" /"!$%&" ',.+&")'("% ""!$"% .($,$&$"%- ',' *! ,*"$%,' )* A&$+$&*("; L'% "(+$&*&'% ($*'% +*(' !'% (*%.'%"/!*% )* !"% .($,*("% @.+!"% &",/$< !'% .($,*('% * $*%&$"( *! @,*(' +(*' %+ (*!"$ ' !" *',*&(9" !" "(+$&*&+("; A."(&* )* !" *'!9.$!" )* H*(- !'% ($*'% +*(' !'% .($,*('% * $*&"( !'% ,'!$'% )* $*&' )* "+"- !' +* !*% #$' .$'*('% * &(*% )* !'% +"&(' ,<&')'% )* .('.+!%$ ' "$,"! "&*($'(*% " !" R*'!+$ $)+%&($"! *! +"(&' *% !" "*"$- "++* %!' %* +% !" **(9" #$)(+!$"; C$$!$"$'*% "&$+"% %+% $*$'*% $%&$&+&' G($!!$ M'&* G(")* C"(/'*! 2012; P"("!*!" " !" $$!$"$ G($*"- !" $$!$"$ R',"" &',"/" +*(" *%&(+&+("- %* )*%"(('!!"(' ',' + .+*/!' .(",&$' %* +$$"(' * + $,.*($'- (" .'( !" +"! *%&" $$!$"$ ,+*%&(" + )*%"(('!!' ''%$&$' +$$")' * !"% **%$)")*% )*! ,$%,' $,.*($' )* *%&"/!**( %+% ('&*("% "!"*%; L'% (',"'% )*%"(('!!"(' +" "($+!&+(" %'$%&$")"- ,*='("(' !" &*'!'9" )*! &("/"=' ' #$*((' )* "!/">$!*(9"- ,*='("(' !" '%&(+$ )* "((*&*("%- !" $*$*(9" ,$!$&"(- !" $*$*(9" $$!- *! #$!")' *! &*=$)' ' ,+#"% ,+$"% )$*(*&*% ',' !" '%*#")'("+* "+)"(' " $(*,*&"( !" .(')+&$$)") )* ,+#'% %*&'(*% )* !" *'',9" (',""; L'% $*$*('% (',"'% +*(' !'% .($,*('% * '%&(+$( "('% ,'+,*&"!*%- "$&*"&('%"+*)+&'%- /">'% .@/!$'%- .+*&*% )* .$*)(" ($.&"%; A!+"% $*$'*% (',""% '&"/!*% +*(' *! )$*- *! $)($' %'.!")' *! #'(,$; C',' R'," *%& %$&+")" * +" .*9%+!" '!$" +" "(*" '&$** ("'% ($%&"!$'%- *! #'(,$ (',"' +* *%.*$"!,*&* (*%$%&*&* "! &$*,.'; A!+"% )* %+% *)$$"$'*% %* #" ,"&*$)' * .$* ,% )* )'% ,$! ">'%;
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arqueológico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agri - !' +* %* #" &(")+$)' '(,"!,*&* .'( &*(($&'($'; /"=' *%&* ',/(* )*/*,'% $!+$( (*"!$)")*% *:&(*,")",*&* "($")"%; P+*)* ."%"( +* *! "ger '$$)" ' + &*(($&'($'- .'( *=*,.!'- *! )* +" $!!" '!'$"!- )* + ,+$$.$' ' )* + .+*/!'; S$ *,/"('- !' +* ."%" ,% " ,*+)' *% +* %*" +" (*"!$)") * '!$&' ' !'% &*(($&'($'% #$%&($'%; E! ager *% +" "&*'(9" +* )" +*&" "! ,$%,' &$*,.' &"&' )* + .('*%' )* '!'$"$- ',' )* + .('*%' )* *:*.$; E *! '=+&' )* *%&"&+% )$*(*&*- +* '(," &(*% agri - !'% '!''% .'%** &$*(("%- %*" ."(&$+!"( ' '!*&$",*&*- ' %+% )*(*#'% ."(&$+!"(*%- %+ ,')' )* *:$%&*$" ',+$&"($" +* !'% )$*(*$" )* !"% '&("% "&*'(9"% )* !" .'/!"$- '(," +" '!*&$$)") .@/!$" ' res publica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ecundani * *%&" <.'" " *(" "&$+'% )*%*)$*&*% )* !'% .($,*('% '!''%; C' *%&* '/=*&$'- *! '/*(")'( )* !" (*$ )* N"(/'" F("$" ,") '!'"( &(*% (")*% .!"'% )* "($'% ,*&('% )* !'$&+) )* "!&+("- %'/(* !'% +* %* "'&"(' !"% *&+($"% +* $!+9" &$*(("% .@/!$"% '!*&$"%- $)$"/" &",/$< !" &"($" )* "((*)",$*&' )* *%&"% &$*(("%- %*@ *! &$.' )* %+*!' &"($" ' $,.+*%&' !!",")' vectigal - *! ',/(* )*! ")=+)$"&"($' ' &$&+!"( )*! '&("&' )* "((*)",$*&' )* *%&"% &$*(("% .@/!$"%- *! @$' .*(%'"=* "+&'($")' ."(" .*($/$(- * ',/(* )*! '!*&$' $+)")"'- *! vectigal ; C' +"% #*((",$*&"% /"%&"&* *!*,*&"!*%- !'% "($,*%'(*% (',"'% '/&+$*(' +'% (*%+!&")'% *:*!*&*% (*"!$"(' +"% .('*$'*% )* +")(9+!"% %'(.(*)*&*% .'( %+ ($'(; S* .+*)* *( "@ * "!+"% (*$'*% )*! ,+)' +* +* (',"'- *,.*")'
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groma ',.(*)*- * (*"!$)")- )'% (")*% ."(&*%; E +" %* *:.!$" ,' )$$)$( + &*(($&'($' * +")(9+!"% " $ )* $%&"!"( '!''% * '% +* !" '+$%&" #$' *&("( * !" (/$&" )* R',"- *! "($,*%'( %* $' '/!$")' " traducir (*"!$)")*% !'"!*%; A)*,%- #" "($"% ,"*("% )* ."(&$( + &*((*'; E + %$&$'- %* .'* "/*"% )* +$!"- )* &'(' ' )* '&(' "$,"! ")" +" &$** + %$$$")' )$*(*&*; E '&(' "%' %* ".$!" .$*)("%- ' %* "!$*" * '(," )* ,+('% .*+*>'% ' )* ,(**%; H" +$* +&$!$" !"% (*!"$'*% ' *! +*(.' #+,"' ."(" )*%$"( !"% '%"% ' ',' $%&(+,*&' )* ,*)$)"; T",/$< %* *,.!*" (/'!*% '&"/!*%- )* *%.*$*% ."(&$+!"(*%- *&; M% "%'% ',' !*&("% "'&")"% * !'% #$&'% ' * !'% ,'+,*&'%- !*&("% +' %$%&*," )* $&*(.(*&"$ *% '+%'; P'( *=*,.!'- * *%&'% ,',*&'%- !"% $*%&$"$'*% %* *&(" * +' )* !'% '=+&'% ,% *$,&$'% )* &')'- !"% "%"% )* !*&("% Casae litterarum; L'% *%.*$"!$%&"% *,.$*" " *:.!$"('% +* %* &("&" )* + "%&' %$%&*," )* %$,$!$&+)*% )')* !" )*%($.$ )* !'% )',$$'% %* /"%" *% +($'%'- .*(' *% "%9 * !" ""!'9" )* !" '(," )* ")" +' ' !" )* +" !*&(" )* (**(*$"; A%9- + fundus ' +" '(," **("! )* &($+!' %* !!"," delta- .'( !" '(," )* *%&" !*&(" ($*" * ,"@%+!"; E! ('," E%&* $%&(+,*&' *% *! %9,/'!' )* !" &$*(("- +* %* !!","/" " **% (',"&$+%; S+ ',/(* *% .('/"/!*,*&* )* '($* *&(+%'- .*(' &',")" )*! ($*'- *! ('," &",/$< %* (*$*(* " **% /"=' %+% ',/(*% !"&$'% *((",*&+, ' %&*!!" ('," L" .!"" .&$" *% + +")(")' ' + &'.("' +* )$$)* *! *%."$' * +"&(' +")("&*% %$(* ."(" )$/+="( !9*"% (*&"% +!'%; E% ''$)' .'( '%'&('% " &("<% )* )'% !.$)"% !' +* '% )" +" $)*" /"%&"&* *:"&" )* !'% *!*,*&'% +* ',.'* *%&* $%&(+,*&'; P*(' *% *! )*%+/($,$*&' (*"!$")' .'( M"&&*' )*!!" C'(&* )* P',.*" * "/($! )* 1J12 * *! &"!!*( %$&+")' * !" A/')"" )*!! V$" K+* $!+,$" ,% '%'&('% + ('," ',.!*&' +' .$* *%&"/" ('&" #"/9" %$)' &("9)' " *%&* &"!!*( ."(" %+ (*."("$; U" * +* *! ('," $%&"!")' * !" +/$"$ )*%*")" .'( "($,*%'( %'.'(&* .(*=+)$$"!*% .'%$$'")' * !" )$(*$ )*%*")"- !"% '.*("$'*% .+*)* ',*"(* !" !9*" )* $%$ )*! '='- *! "!",/(* )* .!',' .($,*(" " !" %*+)" +/$*(&" "!",/(*
+"!+$*( "'&*$,$*&' ' + .'%&* '!'")' * *%&* *=* *%& %$*,.(* "!$*")" ' *! #$=' )* .*!!*&% +* %$($ ."(" ".+&"(; D* *%&* ,')' .')*,'% '/&**( +" .*(*&" "!$*"$ )* !'% .'%&*% " +" )$%&"$" ("'"/!*; E! )$'.&(" A )$*(*$" )* !" ('," +* %"/*,'% +* !" "(+$&*&+(" **("! )* "($"% +*&*% )$*(*&*%- ' %"/*,'% ")" )* !" "."($$ )* *%&* $%&(+,*&' &')" *:""$ "(+*'!$"- $ +" .$*)("- $ "!$$'- %!' + &*:&' )* H*(' A!*=")(9" '% )$* %+ *:$%&*$" &')"9" *%& * +*%&$ .($$.$' )* +$'",$*&' "+!"( ',' !" .('.$" )*%($.$; O(**,'% " '&$+"$ +" *'"$ )* *%&* )$%.'%$&$' +' .($$.$' )* '.*("$ *% '%$%&*&* ' !" !$&*("&+(" H*(' ,$*&("% +* %$*)' ,+ '%$*&* )* +* !" "!&" )* )'+,*&"$ ' *% .'%$/!* '(**( +" (*.(')+$ )$" )* *%* ',/(*; .')(9" %*( +&$!$")' ."(" !" $*!"$ )*! &*((*'- !" &'.'("9"- !" $%&"!"$ )* "!"&"($!!"% ' &@*!*% %+ *(%$ &*')'!$&' "%&('', $%&(+,*&'; M*)$$'*% )* +!' #'($'&"! %* #$$*(' " ."(&$( )* +" .!"" #'($'&"! $(+!"( (")+")' * 360 (")'% E *! "%' )* + %*+)' )$%' *(&$"! ,*)$$'*% "+!"(*% ."(" "=+%&"( !" *%"!" *(&$"! ' %+.*($'( " J0 !$",*&*; F+$'",$*&' )* !" (*"!$"$ )* +" ,*)$$ "+!"( #'($'&"! *&(* )'% .+&'% *% /"%&"&* %$,.!* E .($,*( !+"(- " +* %* (*$*(* %* !!*" " "/' " &("<% )* +" *%.*$* )* $%$ %$ .&$" $%$ " !"(' .!"' ' *:$%&*- .*(' !'% '="!*% *%& *+$.")'% .*(.*)$+!"( ($ %* (+" * *! *&(' *:"&' )*! '+!"(; E% .(*$%",*&* *! .+&' .($,*(' )* "/($"$ )* !" .!"" #'($'&"! ,"(")' 360 &$** *! +(%'( * CCCL; A '&$+"$- * +" %*+)" *&"."- %* .('*)* "! %*+)' .+&' )*/"=' )* !" .!"" #'($'&"! %$ ,'*( *! +(%'( $&*("! *! %+.*($'( ('&"&$" $)$" + @,*(' +*'; S$ *! +(%'( %* #" ,'$)' #"$" !" )*(*#" * *! ,"(' )*! %*+)' .+&' " !" $+$*()" )* !" .($,*(" ,*)$$ "+!"( %* '((*%.')* ' *! @,*(' +* %* !**; S$ *! +(%'( %* #" ,'$)' #"$" !" $+$*()" * *! ,"(' )*! %*+)' .+&' " !" )*(*#" )* !" .($,*(" ,*)$$ "+!"( '((*%.')* " 360 ; L" $+(" +* %* !** %* (*$*(* " +" *(&$"!- *! .($$.$' *% "@ ,% %*$!!"- * ',."("$ ' (")' 0- +* '((*%.')* " !" %+.*($$* .!"" .*(*&" )*! )$%.'%$&$' %* **&@" #"$*)' $("( *! )$%' )* )*%&$' !" !9*" *(&$"! " !" $%&" ."(" *! .+&' )* ,*)$$; E! '('/"&* A++* $@ *:""$ "(+*'!$" #" .*(,$&$)' )*%+/($( +* (",*&'% )* ."(*% *! )$%.'%$&$' %* *+*&(" "%$ *:!+%$",*&* )* ,")*("- !" )*%($.$ +* #$' *! $*$*(' (',"' V$&(+$' *% !' %+$$*&*,*&* .(*$%" ."(" &**,'% +" $)*" /"%&"&* !"(" )* !"% )$,*%$'*% '((*&"% *! "%.*&' **("! )* *%&* $%&(+,*&'; E! +%' )*/* %*( ,+ "&$+'- ',' + $%&(+,*&' ' %+ *+$"!*&* *% %$ )+)" &" "&$+" ',' !'% "+*)+&'%)* #*#'- !" '%&(+$ $,.!$" **%"($",*&* +" .*)$*&* '%&"&*- $ )*,"%$")' +*(&* $ )*,"%$")' )'% *! (*$")' )*! (* S"!',- !" $+)") )* *(+%"!< #" %$)' *+$.")' ' + "+*)+&'- &",/$< *% *! "%' )* !" $+)") )* N9$* * *! ">' 6J0 "C P'( &"&'- *% .('/"/!* +* !" ."!"/(" '($$"! #('/"&+, ($*' $)*&$$" + $%&(+,*&' )* ,*)$)" " $*='; V$&(+$' )*%($/* ' .(*$%$ *! '('/"&* *! *:.!$" +* ."(" !!*"( "+" " !'% #'"(*% $+)")*%- !" .($,*(" ,"*(" *% &',"( *! $*!; L"%
#*((",$*&"% @&$!*% ."(" !!*"( " "/' *%&" '.*("$- '('/"&* *% !" ,% *:"&";V$&(+$' %$+* %* )*%($/* L" (*!" '('/"&* '%&" )* +" !'$&+) )* "!(*)*)'( )* *$&* .$*% " !'% *:&(*,'% )* *%&" (*!" !" '%&$&+* )'% .$*"% )*! ,$%,' &",">' +* %* *%",/!" * '(," )* %'.'(&* )* /("'- *&(* *! '/*("&* !'% *:&(*,'% )* *%&"% )'% .$*"% %* *:&$*)* " &("<% )* )'% ')'% $=")'% .'( ."%")'(*%- %'/(* *! +* )$/+="( !9*"% .*(.*)$+!"(*%- *%&"% !9*"% %' '$$)*&*% .*%'% "%'$")'% " ")" !")' )* !" '(,"; E%&'% .*%'% +")' *! ,+$" *%& * %+ !+"(- !!*")' " ''*( !9*"% .*(.*)$+!"(*% * !"% ."(&*% $*($'(*%- ,+*%&(" +* *! $%&(+,*&' *%& $*!")'- %$ *! $*&' "$&")' *! .!','- $,.$)* "%'$"( + *(&*"- *&'*% %*(9" ""( * !" ."(&* %+.*($'( )* !" (*!"- + ""! )* $' .$*% )* "#' .('+)" )* !'% )*)'% + )*)' ,*)$'- *(&*( *! "+" %$ *! "+" &",/$< "*&" " !" $"! )*! ""!- *% +* *! $%&(+,*&' *%& .*(*&",*&* $*!")";
#&&.QQ#$%."$"(',""!*$'$$$$;/!'%.'&;',Q2013Q04Q!'%"($,*%'(*% #&&.QQ***%#$;/!'%.'&;',Q.Q#$%&'($")*!"%,"&*,"&$"% #&&.QQ,*&')*;"&Q*%QR*$%&"%QM''("$%QC"(&'("$"QE!%"($,*%'(%(',"%"(&'("%
