el_teorema_de_pitÁgoras_

7/15/2019 EL_TEOREMA_DE_PITÁGORAS_

http://slidepdf.com/reader/full/elteoremadepitagoras 1/80

!"##$%&'()*''+*,*!**

%+-')+**+(*.(.(&+*

/*%.*++*)

*)'0*)1*,*.*)++*)2**)3*%'*.)

&((4##

5677



8

9999999999999999999999999999999999999999 9999999999999999999999999999999999999999

9999999999999999999999999999999999999999 9999999999999999999999999999999999999999 9999999999999999999999999999999999999999

99999999999999999999999999999999999999999/

99999999999999999999999999999999999999999/

99999999999999999999999999999999999999999/

&:;<9995677



*;=:>

**#

*;<?;$(=;8#



*'*++()

:

; @ $ ) ,; "#. !@ $ ):"; ; *=; < """#

. !@ +=: "; <? *$:; ';"; * ; . ; <? ; ; -; < * '; @ %= ;"#

*;8/;@#4=*):".$:;#

<"&"8"""#(=);"#<",

; @ "#. ) A $:; * '; < ' $:; :@";@#



; "8 !:

& " ; =? " !:;8!:=8:#)"=B@;@B-&;;=8::;@@;8!:# !:; ; 8 !:; !:; : :;

"!:;8!:#

"""=@"!""@& " C; @ "" " @ !" "

;"@""

"D""""#+BA@B"@;@B-&;BC"B"@;B"""B""B"@";@"";#E3A(') " !" "; "; @ "!" "; @ @ " !" "; $ @ " !"";@"!"""#



!:#

')% - .+)*/+%'*) +2 .+)**&.*) 2+ .+)**2() 2++

6# +'(%+F 7

7# .('*!+4('*).*)+-+.+,*+()!'$.G+*)57#7# .('*!+4('*)&*&+.(+* 5

7#7#7# .3 5

7#7#5# .!H55 H

7#7#H# .) I

7#7#I# ." J7#5# .('*!+4('*)+!( J

7#5#7# !E" K

7#5#5# !L M

7#5#H# !'" N

7#5#I# !& N7#H# .('*!+4('*).*++* O7#I# .('*!+4('*)$+* 765# *.%*)()'*+().('*!+4('*)*

'*-G).*$+)('+* 7I5#7# .*)()'*+()!+4('*) 7J

5#7#7 !7 7J

5#7#5 !5 7K

5#7#H !H 7M



5#7#I !I 7N5#5# .('*!+4('*).***+*!.*F 565#H# .('*!+4('*)3.().()%.+) 57

5#I# .'0!'((.('*!+4('*).*!'(!()++F+#IN.().()%.+) 5I

5#J# '*.+,*+F.('*!+4('*).*

!'(!()++F-+#H7.().()%.+) 5J5#K# .*()'*+F!*!!%)P$*+*H66##Q 5K5#M# .*)()'*+()$R&++&S%''*PN5KTO67Q 5M

5#M#7# !7 5M

5#M#5# !5 5M5#N# ()'*+F&$R)E*'*P777IT77NJQ 5N5#O# .*()'*+F.(*'(*-++P7IJ5T7J7OQ 5O5#76# .*()'*+F-+*P7JI6T7K76Q H65#77# .*()'*+F**'++(UV!.PW7N5IQ H75#75# .*()'*+F!'+*.PW7NH6Q H7

5#7H# .*()'*+F/''+(,**P7N7HT7NJHQ H55#7I# .*()'*+F<*)*#*'/+.PW7NMKQ H55#7J# ('*)()'*+() HH

5#7J#7# 87#?U*!: HH

5#7J#5# 85#?U*!: HK5#7K# .*3(''!'('+(()'*+().

('*!+*F'+(# HMH# *!.+*+F.('*!+4('*).*('0*

*'+) HN

H#7 (*+F HNH#5 /+++() HO



H#H !'(!+*).())!*+())PQ3*)PQ I6

H#I !'(%()+'+('))(&'PQ I5

H#I#7 !87 IH

H#I#5 !85 IH

H#I#H !8H IJ

H#I#I !8I IK

H#I#J !8J IK

H#I#K !8K IM

H#I#M !8M IM

H#I#N !8NP.('*!+4('*)Q IN

I# )'*+*!*F+*!*'*.*)1*,*.('*!+4('*)*!*'+'()'*+()-+)%*.) J5I#7 )%'+*)!*'*.**!.+*+F.'*&*<(.()

+/')%')(%*+F&4)+*)%*'+*;*!.+*(.())4*')%''+%.*') J5

I#7#7 * J5

I#7#5 *? JH

I#7#H *= JH

I#7#I

*= JHI#5 )4*').()S%*!.+*.)*'(..(.('*

!+4('*) JI

I#5#7 !?KM JI

I#5#5 !?KM JI

I#5#H !?NO JI

I#5#I !?NO JI

J# (.%)+() JJK# '(*+() JK*2() JM&+&.+('*/0* KM



!:#/7# H

/5# H55# H

/H# !# I

/I# "#$%&$ J

/J#'"'()"'$%&$ K

/K# "*'%#"%$+,'" M

/M# %%$$#&-# M/N# %%$.," N

/O# %%$/" N

/76# "0$,&1" O

/77#2#$##%2$##'3#'%# 76

/75# )"'$,"$ 77

/7H# ,%$"'#$,"$,$'4'"4," 77

/7I# %$&,"$-$$ 75

/7J# '3#''5' 7H

/7K# #%'6#7#&'70$&"$"&$#-$# 7I/7M# '1&%$#&&1" 7J

/7N# 8$9:')$# 7K

/7O# 8$:')$# 7K

/56#)"'$&)"'$ 7M

/57# ';)$# 7N

/55#<"2)"'$# 7N/5H#)"'$#$&)"'$1" 56

/5I# $)$#"$%$#&1"=$#"$#'&#57

/5J# $#&1"$)$#%$'&# 55

/5K# #"$3 5H



/5M#)"'$ 5I

/5N# $)$#(#'"3#$ 5J

/5O# $#&1"%%'# 5K

/H6# $/$"$8,>"?' 5M/H7# $/$"$@A,>"?' 5M

/H5# 9,#B 5N

/HH# ,#B 5N

/HI#@)0&$"$C"& 5O

/HJ# $#&1"$)$#%$$"$C"& 5O

/HK# $#&1"C H6

/HM# '"&$4@D% H7

/HN# ' H7

/HO# '228&2" H5

/I6#%&$@0 HH

/I7# $#&1"$6&$&99 HI

/I5# $#&1"$6&$&9 HI

/IH# $#&1"$6&$&9; HJ

/II# $#&1"$6&$& HK

/IJ#,(,$"$%$#$"$$# HM/IK#1"& K5

/IM# $%$#&1";E'&# KH

/IN# $%$#&1"=9'&# KH

/IO#)"'$&)"'$ KI

/J6#)"'$&)"'$9 KI

/J7# $#&1"C9 KK

/J5# $#&1"C KK



!:#

7# .&$"#%1&#%$";# I5#"#%1&#$#,"-# 76H '&1"1"& JMI#$'"# JNJ# "%&1"#$'"# JN



!:#

)+)*%'*+F&*&+.F+( JM

+'!'*+F.**&.+..*!.+!( JN

)(.%+F.!'(&.*.**&.+..*)%)* JO

)(.%+F*.!'(&.*.**&.+..*..$+&*3+K6

.*)*&.+..*)&*&+.F+*) K5

!'(!()++()+#HK3+#I7.().()%.+)KH

'*.+,*+F..F@.*!(.0(()

'%.*')3*.)+0'%.(P !G-+#H7Q KI

('*()'*+F-+* KK



*;!:;"=;:+=;=

; : # = = ; !:@; :=:#;"=; @ ? = # =

=;8!: 8 : PK OQ; ;;"8!:="?;;;"L "; = @ 8 " !:#)=?";!:;";=:@=;:=;@:#

)8!:#3@8!:=;; @B =&;"=B@;

; @ !: =8:; 8 =

:#;?=8@;= @ =; =

=;8!:#



" !:; : : :; L

8;;+";;8!8#!;=*?@;#)!:8=;; 8&8; ;= @ @ : #%"8==88!8;:

8:E@?;22-+##;8 )"'$ #$ %&$; ; 8 ::=!.+!(H55;@"7O66##7K66###)@8L @ 8 ; ; @:@?# #0"&#%,6"&#$"$&$"""%'# 1&#'&3##$G"#*'#"2&"&*'0')$#%$"%$%$&$"'"$#&1"1&$G$*',&<'#$*'6#,(%#$,#$&$" #'"$ . * " 8 @;:#3*.3&M5NO;=%=3;!.+!(H55 %=;:)%)* " @ ::#7#7#7 !@::

=L@88;K6#.8$)$# = L#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#H

/7#

/,%HIIJJJ,'&&IK&##I'&I(&I(&4, "L 7D5I;J7;76;=7;I7I57H8X;8@; = P- *2( *Q#? L H6I5D5J;HJ; 8

=$)$##7#7#5 "## : :

&#): 7HO;: @"7O66##7K66##;@=@"7O56.#

/5# H55#

/,%HIIJJJ#&&&$I%&'#I#JBILI%$"M;<%



.('*!+4('*).*+-+.+,*+()!'$.G+*)I#

8 ;= *"!;"7OHK;@=;H55L:#) = L;

;;: ; ;"8# )5;HI=;;;::;7;L;=5Y5;=:P-?*2(&Q#7# .&$"#%1&#%$";#

5Z5 5 U5 5

7#7#H $@)+:A#E#

.@#8=?:8J6;J6K6P-8*2(Q#

/H# !#

/,%HIIJJJ(%$"#$I%(,,)=;:8!:#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#J

7#7#I %$!/&7OK5::#

=::6DIJPQ7D7JPQ#.P=?*2(Q#

%?:;="8;@8HMJ6#

="8;;?@P=*2(Q# =8 &8 8 8 " !:; @ 8

8 : ::## . "" : H; I J;

L; )"'$ %&$; :; ; #&'&%"$ ;:" @ @

8#

/I# "#$%&$

/ @NN !.AG $ ' $ $ )$# !",#$$6&=LLLO$#H.3#@P;G$3LL%9 #*8@8;;8@#/"""$



.('*!+4('*).*+-+.+,*+()!'$.G+*)K#

[\###]*:;8;:8[ ? )"'$ %&$; "7H; ; @ ;

::H;IJ#/J#'"'()"'$%&$

8'"H,%HIIJJJ%$#&&$I&$""$#I$44%$#, @=@ :; 8 ; )"'$## :;L(;+$;!#?;@::;;:@; = "; "; "

#.:;;::8;;:8=: !:; "" L = =;8?# ; @ 8; : 8 $ )$##.E";L;'"&#7#5#7 &&'( %$ )*+, 2++ U " 5666 *# # U

E"#.888

?:

75ZPHYIQ5^P7_Q5;

N5ZK5^765;

55ZP7`Q5^P5`Q5;

7K5Z755^565#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#M

/K# "*'%#"%$+,'"

/,%HIIJJJ'"#I$494,#$4"'4'"3#I%%$MMB,'",

7#5#5 &&'(%$(-./ / ""= 7NNH; =? 4. ;8 T&"# ( %$ @$"#,&,3 7O75;" '#$##$#&-PaIJMKQ;!L#

/M# %%$$#&-#

/,%HIIJJJ%$$$I&"&I&#I%%$M$#&',

8""5J:;#@":7NO6##;2++0; ,#;!'"#



.('*!+4('*).*+-+.+,*+()!'$.G+*)N#

7#5#H &&'(%$*,% 2+2;@8.;$'"7NJN;7NKJ&:.#KHH";W7KJ6;NM::;=8"!:P##JKQ#/

":*";566#

/N# %%$.,"

/,%HIIJJJ%$$$I&"&I&#I%%$M,",7#5#I &&'(%$$'1, )@ %$#/"EE9#)

:?;+;

57K6 # # 7M66##; @ 2+2 8@;);L

/O#&#

/,%HIIJJJ$"32*'2&$IJ%4&$""I'%$#ILLIL=I%%$4"9<%

; 8; :; )'"&'$9LL#'$#&'$#)#%*'O$#:!:#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#O

" -8+7J66##;8"+:#

.:*+ $#'3#'#;?-#. 3 @8@@8+#@=@#/76# "0$,&1"

/,%HIIJJJ'#I$$#I0&&#I<$#I$$I#,9I$$#9%0 ;@=;=? @ ; += ?; ; $# "#$# &'; ? "@@=#.)="L

8@#:&"PN66##Q;*PK66##Q;=PMJ6##QEP566##Q#8;? ; 8H;I;JDJ;75;7HDN;7J;7MDM;5I;5J#*@:7J;HKHOU=:J;757H;[:[;@:PH;I;JQ#



.('*!+4('*).*+-+.+,*+()!'$.G+*)76#

/77#2#$##%2$##'3#'%#

/,%HIIJJJ'#I$$#I0&&#I<$#I$$I#,9I$$#9%0 8$L5#"#%1&#$#,"-#

.23 .23# .23"

H I J N 7J 7M 7J HK HOJ 75 7H 75 HJ HM M 5I 5J

)@=:::;:!:#4 8; " "

!:"#*:7766##;?# *8 !: : :; @ "; :# ""',"G#'")"'$&)"'$#B$'$$'G'B'$'G(,%$"'#,#"$Q"



.('*!+4('*)U()'%+F*.%()'%')()+4+()#77

/75# )"'$,"$

/,%HIIJJJ'#I$$#I0&&#I<$#I$$I#,9I$$#9%0

&;:"; :; ; ; =; ? 8# * = ;@$;)""$U";857H###$;:=#. : ," P, ,&##& $0 ,@"$$" " , &' ,# $0 53"Q; = " ! )";"""P,",%#$",,& Q;?<""#,$'4 @"P/

7I#Q# . 8 @ ; ": *$/&; *$&/;::#: = */E " :; #$)$#,"#

/7H# ,%$"'#$,"$,$'4'"4,"

/,%HIIJJJ'#I$$#I0&&#I<$#I$$I#,9I$$#9%0



.('*!+4('*).*+-+.+,*+()!'$.G+*)75#

,$'4 8 @; ??; "&#&)"'$"&,';($"'=G$"3RG(###&'$$)=$#&'$#&)"'$#Q$#G*'#'")=G#$

#'"&'$)R;,':'"5IK5I=@::;@$)$##;:@L 5('"-2%#'G*'#,$$"*'#'Q$#'%$#%$("#'$'"#"&#%##36#8'9R%&&'*'6'#,%$'&$$'#

$)$#8:;8=85ZH5^P76UQ5#/7I# %$&,"$-$$Q%'#$"$,':,"'":,'

#

/ @NN !.AG $ ' $ $ )$# !",#$$6&=LLLO$#H.3#@P;G$3LL%; #

(;";8"$)$#;%&&'%$0'"'"#"*'&&'9L%#&'$##'%0&G #"$ *' '" &O *' && " #' &"$ ( *' #$ '" % %$ "& 'G&"2Q&"#'%0&##$,#$#"*'



.('*!+4('*)U()'%+F*.%()'%')()+4+()#7H

.$?8=@ , ",%#;@ 5$ '"<" P, #",&"' Q# = ; L ,",% ('"#%$%$#&$"#N,$';8::8!:;"#

/7J# '3#''5'

/,%HIIJJJ'#I$$#I0&&#I<$#I$$I#,9I$$#9%0

* @ " =8";?;= ""::::;"!:8=U8#



9999999999999999999999999999999999

7%$*;A#%=:#!:;7OOJ##7HK;7JH5.((+);")#"!"!#A";7OKN##H

#

!:":?:"

#\###])L::@#\###]@;!:;@8#7 ? ; : =8=;;=?;8#3;:8;=8@L;= =8 @; : "

@;8;#

/7K# #%'6#7#&'70$&"$"&$#-$#

/,%HIIJJJ$#3$#$#&$I&0I&%'$L;,

@""""@=# 5

$)$#G=":5#666;=2-++;8@8:#;;:; @ ; " =



.('*!+4('*)U()'%+F*.%()'%')()+4+()#7J

8 ; 8 " 8 [ "[P:Q#""8 : : ?":@#

* 8 @; 8; : @; "8 ; ## )"!:#

5#7#7 '+$ .8 !:" 8@

/7M# '1&%$#&&1"

@)0&2&$"#$0J$6&$S.($%)#T

. = @ : =;Q ":@@"

::;::::#

Q @ :; ::#

):;=:&5;@":;=55;@:;#

*;8?;



*.%*)()'*+().('*!+4('*)*'*-G).*$+)('+*7K

5#7#5 '+$##%5=@Q @; = ;

::".

/7N# 8$9:')$#

@)0&2&$"#$0J$6&$S.($%)#T

)=PIQ::PQY5 55;=8:

3#5#54678#3#5#5#

Q @;=::

"#

3.#54678#3.#5#

/7O# 8$:')$#

@)0&2&$"#$0J$6&$S.($%)#T



.('*!+4('*)U()'%+F*.%()'%')()+4+()#7M

*;@=8:

)^5Z5Z5)^5Z5;

S=

#5#3.#.8::#$#&1"')$#G#-"3$#,#$$#*'"#'%'#$ ## " %$% $/ # $%$&$"# : %0& %$ %&# #1$ &"#&$""#'#G%$/,#$'"#$##'"#H

5#7#H '+$")!:8:*&;*$

&$;@

/56#)"'$&)"'$

@)0&2&$"#$0J$6&$S.($%)#T)::*&#$=";99;=#*"

Q *&*$

Yb^Y

)

5^b

Q *&&$

Yb^Y)

5^b



*.%*)()'*+().('*!+4('*)*'*-G).*$+)('+*7N

5Z5^bZb^PbZbQ

!;PbZbQ^;

!;@ 5Z5^5

.?=@

/57 ';)$#

@)0&2&$"#$0J$6&$S.($%)#T

S#5#7#I '+$4!:?":

8:@

/55#<"2)"'$#

@)0&2&$"#$0J$6&$S.($%)#T



.('*!+4('*)U()'%+F*.%()'%')()+4+()#7O

.:!S'!);

Y^Y=^:

C;8":#

:

)!S' ^Y5)!)^=Y5

)8)!S' Y)!)^PQYP=Q

PQYP=Q^PYQPY=Q

!;PYQ^PY=Q^C;

;)!S' Y)!)^PYQ5

^PY=Q5^C 5

;7&1""##'%0&#$#0'##<"##'&'$21"#<"27 #*";@57;*8;:*$&$;

)*$Y)&$^PYQ5

S;

)*$Y5^)&$Y5

^P)*$Z)&$QYP5Z5Q

:*$*&

)*$Y)*&^PYQ5)*$Y5^)*&Y5

!;



*.%*)()'*+().('*!+4('*)*'*-G).*$+)('+*56

)*$Y5^P)*$Z)&$QYP5Z5Q

;

P)*$Z)&$QYP5Z5Q^)*&Y5

S;P5Z5QYP)*$Z)&$Q^5Y)*&

3;

)*$Z)&$^)*&

*@;5Z5^5

##

=;$)$#=?:#

## $)$#G::8;: "1"!88'%&&1"&'$@?'%&&1"&'$#

!88;:=;=;";@#

/5H#)"'$#$&)"'$1"

/,%HIIJJJ#"J$"$I"'$#I"'$#IEI#ML;%,%



.('*!+4('*)U()'%+F*.%()'%')()+4+()#57

9999999999999999999999999999999999

H!%'*);#.# $#"$#'&##;7OOK#.+;!8+#IM;#5K6

+88!:;@=::#!8 #: "1";)8==8;

8?;"?;=#.=?;8?;)8::;=?##" 4;

+ $# "$# : ; $)$#G;+#IM

+#IN;=?@;8;?@#

/5I# $)$#"$%$#&1"=$#"$#'&#

/ @NN !.AG $ ' $ $ )$# !",#$$6&=LLLO$#H.3#@P;G$3LL% #$)$#@ " $# )"'$# &)"'$# &'$ $ *' #'" )"'$ &$ #*'3"$#&'$#$#$#*'&$%"")"'$&$ #H



*.%*)()'*+().('*!+4('*)*'*-G).*$+)('+*55

. 8 $ )$# ?# @ @ ; :; = @ :"#

/5J# $#&1"$)$#%$'&#

@)0&2&$"#$0J$6&$S.($%)#T

+#HK+#I7P=?*2(/Q;;?;8

Q

.:&*&+*&^&;&+^&:&:&:&:*&+#Q :*&::&

:#Q ::&+E<::*&+

:#;::&+E<:*&#

'@:::$E<:*/#.;:&+$::&+E< $E<; @=; : : ;&+$; : ; *& */; :#S!:#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#5H

.@"""@@"#.: #"$3==="#&"C8 &# '< &6" &#G ? " ; &%'&, 0"&#&"$;&$%3$ 0'$"$3"$#@8@)"";

""?;88888'"%'%#"$" 2"&$#? %'$"#/5K# #"$3

/ @NN !.AG $ ' $ $ )$# !",#$$6&=LLLO$#H.3#@P;G$3LL%=; $# "$# ? "; ="8: " #? @: = ";

:=";? ;:@:#. !8 +#IM . + . ; ==::=$)$#;!8+#IN;?#



*.%*)()'*+().('*!+4('*)*'*-G).*$+)('+*5I

9999999999999999999999999999999999

I!%'*);#.# $#"$#'&##;7OOK#.+;!8+#IM;#5KH

#4 <4=

"'")"'$&'$&$"#'$#$'"$$#$##'$#&'$#&$"#'$# #$ $# #"# $# )"'$G )"'$&$%"$ %$#$# $##"#)"'$#&$#I

8;*^*&*#/5M#)"'$

@)0&2&$"#$0J$6&$S.($%)#T

"8

*&5Z*5^&5;

3;:*?:;

*5Z*5^5P+#IM;$)$#Q#!

*&^*;;

&5^*&5Z*5^*5Z*5^5;;

&^#

*; *&^*;

&^;

*L:;:**&#

!:*&*;L8+#IN;#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#5J

/5N# $)$#( #'"3#$:$%$#&$"#9= (9=$#"$# '&#:"&1".$$U$"$"$&#"$G9RE

/ @NN !.AG $ ' $ $ )$# !",#$$6&=LLLO$#H.3#@P;G$3LL%9

.;+#IM+#IN ? @8 . + $#"$#; : :; ;!" )"'$ #&)"'$#(#1$#&'$#$,%$"'##' #'$#&'$# #$$#&$##

#> "@-+ $#"$#8$)$#@ : :; !8-+#H7; "$#)"'$#&)"'$#G 0'&$"#'%$*'#'")"'$&$#*'3"#0'##<"#(&$"#'#"#<"%$#$#*'&$%"")"'$&$

;8-+#H7@ : @8 # Q )'"%$/$"$'&$"#'$#$,%$"'#'")"'$&)"'$G

#'#'#)#$#%$/$"$#'##<"#&$"#'$##$$#&$#)"'$



*.%*)()'*+().('*!+4('*)*'*-G).*$+)('+*5K

Q ) '" &/&'$ $ #&/&'$G &$"#'$ #$ ,%$"'#G $ &$$)$G'")"'$&)"'$G#'#'#)#$#&/&'$#$ #&/&'$#&$"#'$##$$#&$#P-8*2(Q#

.8-+#H7 $#"$#=?

$#$#%$/$"$#'#(?G$#"$#G&&'$%$/$"$'"$#G*'"%$)#'#)#$#%$/$"$#(?

L ; ! S ; =

8;; L : ; 88: "1"'%&&1"&'$##? 6"@@7

.8!8:@;#

/5O# $#&1"%%'#

@)0&2&$"#$0J$6&$S.($%)#T

<E*;:<E+&*&;L8+#HK#

*=*&#!:<E+&*&#*::<E$*/#*&+$"&*&*/;*&*#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#5M

#; AB6=#?CD@7. "c + S ;::8; %'#$&)&!8 "1"8;

#

5#M#7 '+$)@*&/:*&

; */ " *; :*$//;@@*&+$;+;*&;&#

/H6# $/$"$8,>"?'

@)0&2&$"#$0J$6&$S.($%)#T

#;# '+$#)@*&<:*<$;&;$;

;*&$"*&; : *&; +; /; @ @ *+<;&/;*;&#

/H7# $/$"$@A,>"?'

@)0&2&$"#$0J$6&$S.($%)#T



*.%*)()'*+().('*!+4('*)*'*-G).*$+)('+*5N

#= A)64C=>7; : 8"L;&"C 8 $ )$#; 8; ;C<"P:Q#

" =; @; :=@PUQ#

/H5# 9,#B

@)0&2&$"#$0J$6&$S.($%)#T

.??@

5^IPY5QZPUQ5

5

^5Z5

U5Z5

5^5Z5

.@:@@38PQPQ;@

/HH# ,#B

@)0&2&$"#$0J$6&$S.($%)#T



.('*!+4('*)U()'%+F*.%()'%')()+4+()#5O

#D 64>#C>D7.-?$)$#8#/HI#@)0&$"$C"&

@)0&2&$"#$0J$6&$S.($%)#T" ::*& : $<+ */ = # L;:/;&;#*<*:&*<+;*$<;;==8;:::=;@#

/HJ# $#&1"$)$#%$$"$C"&

@)0&2&$"#$0J$6&$S.($%)#T



*.%*)()'*+().('*!+4('*)*'*-G).*$+)('+*H6

#@ 6>4@C?@7

/HK# $#&1"C

@)0&2&$"#$0J$6&$S.($%)#T

*@^*Z*

;*^*&;

^*&Z*

;^*U*

;*^*&;

;^*&U*

*";PQPQ^P*&Z*QP*&U*Q;

P*&Q5UP*Q5

*@UL+++#HJ;

PQPQ^P&Q5

*PQPQ

P*&Q5UP*Q5^P&Q5

P*&Q

5

^P*Q

5

ZP&Q

5

)=8="::;!:#!"$#&1"")$"$G#$#3&$"#''"#&&'"0"&$&G(&$"#"$'"%'"$%&$"#''")"'$&)"'$$#G(&P-?*2($Q



.('*!+4('*)U()'%+F*.%()'%')()+4+()#H7

# 2E6F=#47L=";*Td;8;:;:

#. @ @ 8 "

; = #

/HM# '"&$4@D%

@)0&2&$"#$0J$6&$S.($%)#T

##

6F="@7$! 8@ "7NH68 $ )$# 8; #

/HN# '

@)0&2&$"#$0J$6&$S.($%)#T



*.%*)()'*+().('*!+4('*)*'*-G).*$+)('+*H5

::=; ;;:;"#;;

;" #!;";"@=8@$)$# #.8:#" 6="C=>"7

:2+2=;=!:#)#*" = # ="#

/HO# '228&2"

@)0&2&$"#$0J$6&$S.($%)#T#4 G6F=;?7

<#*#@;=?%;: '; = ; = 8!::@;



.('*!+4('*)U()'%+F*.%()'%')()+4+()#HH

/I6#%&$@0

@)0&2&$"#$0J$6&$S.($%)#T

.@:!;@8:;

?

*^PPZQY5QPZQ^PZQ5Y5;;::@

*^Y5ZY5Z5Y5

*^Z5Y5;:

PZQ5Y5^Z5Y5

)5Y5Z5Y5Z5Y5^Z5Y5

5Y5ZZ5Y5^Z5Y5

5Y5Z5Y5^Z5Y5U

5Y5Z5Y5^5Y5

5^5Z5

S;!:#

#>

5#7J#7 $H(-'.I,$(HJ'.(K$'.8

::;@;



*.%*)()'*+().('*!+4('*)*'*-G).*$+)('+*HI

/I7# $#&1"$6&$&99

@)0&2&$"#$0J$6&$S.($%)#T.8:::

*^ 5Z5PPUQY5QZ5PPUQY5Q*^ 5ZPUQZPUQ*^PZUZUQ*^PZUQ

;@;":

/I5# $#&1"$6&$&9

@)0&2&$"#$0J$6&$S.($%)#T

)=*^PUQPUQ

*";

*@::



.('*!+4('*)U()'%+F*.%()'%')()+4+()#HJ

5^5PUQZ 5ZPUQ5

5^5PUQZ 5ZPUQ5;

5Z5^5PUQZ 5ZPUQ5Z5PUQZ 5ZPUQ5

5

Z5

^5PUQZ5 5

Z5PUQZPUQ5

ZPUQ5

5Z5^5PPUQZ 5ZPUQQZPUQ5ZPUQ5;

;*^PUQZ 5ZPUQ

);5Z5^5*ZPUQ5ZPUQ5

/IH# $#&1"$6&$&9;

@)0&2&$"#$0J$6&$S.($%)#T*";:@"::;

5^PUQ5Z5PUQPUQZPUQ5

;*^PUQPUQ

; 5^PUQ5Z5*ZPUQ5

.=8.#3#5#;::;!:#



*.%*)()'*+().('*!+4('*)*'*-G).*$+)('+*HK

5#7J#5 $H(-'.I, $(HJ'.( K$'. # . 8 <.+))<e&#

@HK;::;";

) : :;:::#

/II# $#&1"$6&$&

@)0&2&$"#$0J$6&$S.($%)#T

*;@@;::

*Q PZZQPZZQ

*^PZZQPZZQ*^P5ZQP5ZQ

*^IZ55Z55Z*^55Z55ZJ;

&Q ::

8:

&^5Z5Z5Z76PY5Q&^5Z5Z5ZJ

*:

55Z55ZJ^5Z5Z5ZJ)

55Z55U5U5^5ZJUJ

=8!:

#5#3.#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#HM

#? !

"# )#. P7NJ5U7OI6Q; @ : %= &B; %; 8" 8 "= L

"!:"#)=8@87O5M;=:; , (,$" $%$#$"; 8 @ HM6 f0""$,$$3/g#/IJ#,(,$"$%$#$"$$#

/@NN!.AG$'$$)$#!",#$$6&=LLLO$#H.3#@P;G$3LL%R @ ;. 8

8 @ ;?; : ; :; L ;??;"@#. 8 . =; ; 8 :

$)$#;@;@:@?;?=@:#



*!.+*+F.('*!+4('*).*('0**'+)HN

" <

"

L#

L#

=8#

PQ #ℜPQ !L#

)#

@=#

)##;# !/d#⊥ #

* *∈PQ#

*h *$*∈PQ#

* !?*∈PQ#

*i !?*∈PQ#

*" !"*∈PQ#

*i" !"*∈PQ#*' !*∈PQ#

*+ !*∈PQ#

*PQ *∈PQ#=P*Q =P*Q^P77;>;7;75;>;5;>;7;>;Q#

P*Q *∈PQ#

* U7 +=*∈PQ#

* /d*∈PQ#+ #

P-Q 8=-#)PQ ?#

*)PQ ?#$ "#*$ "#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#HO

"# L

H#5#7 )PQ;

PQ^j*^P<Qk<l#

H#5#5 )*^PQ;** ;PQ;P;Q *#

H#5#H )*∈PQ;*;LP*Q^ =

"

7 #

H#5#I .$*h*;@*h^m;m*#

H#5#J % * ? * ^ *; ? *^U*#*"*h^*;"*h^U*#

H#5#K ) )PQ *)PQ ? ?# $PQ *$PQ = ""#

H#5#M %^PQ^6≠#

H#5#N %**h*^**h#

H#5#O %%%h%^%%h^+;%%^%%^+#

H#5#76 *%;

^%

U7

*%#)%*#H#5#77 **^PQ==P*Q5@

=P*Q^P77;>;7;75;>;5;>;7;>;Q

H#5#75 )-=#%-@

@8 ⋅; ⋅--→; = L L@

Q 3GJ^ #Q α=;B^α=;B#

Q Z=;B^;BZ=;B#=Q =;=≥6#=Q =;=^6⇔=^6#

H#5#7H )-=⋅;⋅;;=-#);=;=^6;⊥=#

)⊆-)⊥^j=-k=;B^6;∀B)l#



*!.+*+F.('*!+4('*).*('0**'+)I6

H#5#7I )-=;@8⋅-→

Q =≥6;=-#

Q =^6;=^6#

Q α=^kαk=#=Q Z=≤Z=#

H#5#7J !*^PQ;/d*;=

* ^

=

"" ,67!,67

H#H#7 ))PQ*)PQT=;:

P)PQQ^PZ7Q P*)PQQ^PU7Q

H#H#5 ))PQ*)PQT=

P)PQQ^

+ P*)PQQ^

H#H#H *PQ;L;

*^

+Z

−^*Z*

;

*^

+?*;

*^

−?*#

H#H#I PQ^)PQ⊕*)PQ#

H#H#J *PQ;L;

*"Z*"^

+Z

−

*""*""*#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#I7

H#H#K PQ^$PQ⊕*$PQ

*^*Z*;*^*"Z*";

Q *^

jP Z QZP Z Ql#

Q *^

jP

Z

QZP

U

Ql#

Q *"^

jP

Z

QZP

U

Ql#

=Q *"^

jP

Z

QZP

Z

Ql#

!H#H#M *";**#*";**#• "L"";

#)**$PQ;*^*Z*#*"*hÛ*#*;P*Z*QhÛ*U*;

Û*

^*;**#""**#H#H#N #

%?;;?#. @ : 8

?#

H#H#O "% ? ; ; ?#



*!.+*+F.('*!+4('*).*('0**'+)I5

'])*^*'Z*?;

P*'Z*QP*'Z*Qh^P*'Z*QhP*'Z*QP*'Z*QPU*'Z*Q^PU*'Z*QP*'Z*Q

PU*'*'U**QP*'*Z**'Q^PU*'*'U**QP**'Z*'*Q6"7

*'*Z**'^**'Z*'**'*^**'

*:;*^*'Z*?;;*'*?#

⇐])*^*'Z*#!"8;*'*?;*?#*:;*' *^ * *' PH#7Q * #)*"*"^*"*"#.8;=#H#H#76 4**^**;;**^**# ']

**^**P*Z*QP*Z*Q

^P*Z*QP*Z*Q

P*Z*QP*U*Q^P*U*QP*Z*QP*Q

5U**Z**UP*Q5^P*Q

5Z**U**UP*Q5

U**Z**^**U**

**^**#

⇐]**^P*Z*QP*Z*Q

^P*Z*QP*U*Q

^P*Q5U**Z**UP*Q

5^P*Q

5U**Z**UP*Q5

^P*Q5UP*Q

5^P*U*QP*Z*Q^**#

"4 ,67*8@?

)PQ*)PQ;;$PQ*$PQ#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#IH

H#I#7

*;&/^P&h*QPQ;:!/d#

• "#

*;&^P&h*Q^P*&hQ

^

^

^ ##

α*;&^P&hα*Q

^Pα&h*Q^αP&h*Q

^α*;&##

*Z&;^PhP*Z&QQ^Ph*Zh&Q

^Ph*QZPh&Q^*;Z&;

=#

*;*^ =

≥6#

=#*;*^6;;*^6;@

⇐])*^6;*h^6#*;*^P*h*Q^P*5Q^P**Q^6#])*;*^6*≠6#*≠6;;≠6P*h*Q≠6#*^6#H#I#5 #

)PQ⊥^*)PQ⋅;⋅/#

• ")*)PQ&*)PQ#

⇐]&?&^

−;



*!.+*+F.('*!+4('*).*('0**'+)II

*;&/^P&h*Q

^PP

−Qh*Q

^

PP&hU Q*Q

^

jP&h*QUP *Ql

^

jPP&h*QQUP *Ql

^

jP*

QUP *Ql

^

jP* QUP *Ql

^6

&)PQ⊥*)PQ)PQ⊥#

]!;&)PQ⊥;P&h*Q^6*)PQ#&"

8PQ;^P

Q

^

=

??Z ;

Z ;&/^6P&hPZ QQ^6P&hQZP&h Q^6

@ Z ^6;;^U #!;&?#

• #!&@87;

"

";;$PQ⊥≠*$PQ#

!;*^

−

$PQ;&^

−

*$PQ

*;&/^P&h*Q^U5≠6#

8 8 H#I#7 8 ?;::#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#IJ

)@=8:

PQ@@8H#I#7#

% ; ; " "

??#

H#I#H "

*;&'^PP&'Q*'ZP&+Q*+QPQ;;*'

&';*+&+;=#

• "!)*;&PQα##

*;&'^PP&'Q

*'ZP&+Q

*+Q^PP&'Q*'QZPP&+Q*+Q

^PP&'Q*'Q

ZPP&+Q*+Q^PP*'Q

&'QZPP*+Q&+Q^PP*'Q

&'ZP*+Q&+Q^&;*'#

#α*;&'^PαP&'Q

*'ZαP&+Q*+Q^αPP&'Q

*'ZP&+Q*+Q^α*;&'

##*Z&;'^PP'QP*'Z&QZP+QP*+Z&+QQ

^PP'QP*'Z&QQZPP+QP*+Z&+QQ

^PP'Q*'ZP'Q

&QZPP+Q*+ZP+Q&+Q^PP'Q

*'QZPP'Q&QZPP+Q*+QZPP+Q&+Q

^PP'Q*'QZPP+Q*+QZPP'Q

&QZPP+Q&+Q^PP'Q

*'ZP+Q*+QZPP'Q&ZP+Q&+Q

^*;'Z&;'#=#

*;*'^

=α Z

=β ≥6#

α < β < ;=*#

=#

*;*'^6; ;*^6

⇐])*^6*'^6*^6;*;&'^PP&'Q*'ZP&+Q*+Q^6#



*!.+*+F.('*!+4('*).*('0**'+)IK

]!;*;*'^6;PP*'Q*'ZP*+Q*+Q^6;

*'^6*^6;*^6#*8"8@H#I#7H#I#H#H#I#I 4

*;&'^ℜP*;&/Q

• "!)*^*'Z*&^&'Z&#

*;&/^*'Z*+;&'Z&+/^PP&'Z&+QhP*'Z*+QQ^PPP&'Q

UP&+QQP*'Z*+QQ^PP&'Q

*'ZP&'Q*+UP&+Q*'ZP&+Q*+Q

^PP&'Q

*'ZP&+Q

*+QZPP&'Q

*+UP&+Q

*'Q^*;&'ZPP&'Q

*+UP&+Q*'Q;

ℜP*;&/Q^*;&'#

* & ;??;8H#I#J >

*;&/^*;&/Z*;&/

• ")*^*Z*&^&Z&

*;&/^*Z*;&Z&/^PP&Z&QhP*Z*QQ^PP&QhZP&QhQP*Z*QQ^PP&Qh*ZP&Qh*ZP&Qh*ZP&Qh*Q^PP&Qh*ZP&Qh*QZPP&Qh*ZP&Qh*Q^PP&Qh*ZP&Qh*QZ6^*

;&

/Z*

;&

/#

8 PP&Qh* Z P &Qh*Q ^ 6; ? ? ⋅;⋅/#"" /d ;

??#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#IM

H#I#K ?

$PQ⊥^*$PQ⋅;⋅'#

• "

⇐])*$PQ&*$PQ;&^&Z&#!"8;&hÛ&#*;P&Z&QhÛ&U&;

Û&;

^&;&

&;

*;&'^PP&'Q*'ZP&+Q*+Q

^PP&Q*QZPP&Q

*Q

^PP&Q*QZPUP&Q

*Q^PP&Q

*QUP5P&Q*Q

^PP&Q*QZPP&Qh*Q

^*;&/Z*;&/^6#

.;&$PQ⊥*$PQ$PQ⊥#

])& $PQ⊥;;*;&'^6* $PQ#?

:$PQDZ ;U &^Z;^Z

;;;5Û7#

PQZ ;&'^PP&'Q

PZ QZP&+Q6Q^PP&'Q

QZPP&'Q Q

^Z ^6;Û #

PQ Z ;&'^PP&'Q6ZP&+QPZ QQ

^PP&+QQUPP&+Q QÛ ^6;^ #

PQ;&'^PP&'Q

PQZP&+Q6Q^^6#

PQ;PQPQÛ

;&"#

H#I#M ;

*;&'^*";&"'Z*";&"'

• ")*^*"Z*"&^&"Z&"#

*;&'^*"Z*";&"Z&"'^*";&"'Z*";&"'Z*";&"'Z*";&"'

^*";&"'Z*";&"'#



*!.+*+F.('*!+4('*).*('0**'+)IN

8 *"; &"' ^ *"; &"' ^ 6; " " ⋅; ⋅'# ;

""#

• -$'M.(,$-L

P7Q ) PQ⊥^*)PQ;8H#I#I;*;&/^6;*;&'^ℜP*;&/Q^6#

P5Q =;?

=#

&$""'&1" # %#"" %$%# # "$# *' #$# %$'&$# "$#

""H

• $N,.I,

/^*;*/

• $N,.I,#

'^*;*'

H#I#N =L67

3 $

")*^PQPQ

^*;*/;;

*;*/^P*h*Q;



.('*!+4('*)U()'%+F*.%()'%')()+4+()#IO

P*h*Q^

P*h*Q^k77k5Zk57k5Z>Zk7k5Zk75k5Zk55k5Z>Zk5k5Z>Zk7k5Zk5k5Z>Zkk5!

^

==

;

;

^αZ β#

!

^*;*';

*;*'^PP*'Q*'

ZP*+Q*+Q ^PP*'Q

*'QZPP*+Q*+Q

^

==α Z

==β

^ ( )

β α + ==

^

==

;

;

*;*'^

==

*;*'^*;*/;

^

#

) /^ '#

3

5

"!!@8

^*;*/^P*h*Q#

)*??*^*Z*#

;



*!.+*+F.('*!+4('*).*('0**'+)J6

^PP*Z*QhP*Z*QQ

^PP*hZ*hQP*Z*QQ^P*h*Z*h*Z*h*Z*h*Q^P*h*QZP*h*QZP*h*QZP*h*Q

!P*h*Q^*h*/^

;

P*h*Q^*h*/^

;

P*h*Q^*h*/^6;P*h*Q^*h*/^6#

)

3

5

#

#

3

5

!@8

^*;*'

*?"";*^*"Z*"

);

^*"Z*";*"Z*"'

^*";*"'Z*";*"'Z*";*"'Z*";*"'

3; *";*"'^

;

*";*"'^

;

*";*"'^6;*";*"'^6

;

^

Z

;88;

^

;

^

^

.

^

Z

#

M



.('*!+4('*)U()'%+F*.%()'%')()+4+()#J7

^

Z

!;

^*;*/;

*;*/^P*h*Q3

P*h*Q^

)

P*h*Q^k77k5Zk57k5Z>Zk7k5Zk75k5Zk55k5Z>Zk5k5Z>Zk7k5Zk5k5Z>Zkk5;;

^

==

#

!

^αZ β

^αU β;

kk

5^

^PαZ βQPαU βQ^PαQ5ZPβQ

5

*'^\α]*^\β]*

^

==

^ ( )

β α + ==

^

==α Z

==β

*";

^

==α

^

==β

)

^

Z



4 O

) HI ; @ ;;=

: : ? !:;?#P-U%+*)+4+*))(&'.('*!+4('*)Q)76)@B-&; @ 8; ::;L!:P=U'%+*))(&'.('*!+4('*)Q#

)"=B;@8@ 8=!:P=U*'$+-(A&(+/)*+*())(&'.('*!+4('*)#UU";@8:;" : !: @ 8 : ; K O; 8;#) = L==!:#!;

"8@:#4 G

0

4 B@@"@?=;@L!:@#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#JH

*":;@; @B "= B; @ 8 #%"8"=

8 "8;!:;"

==#4# B! ? = : ; " 8=:=@;@=

: : @@=

#*:;=?";=88=#4" B

= @ @ :?;8::!:=#44 B=:==8?;=;";8

"8#;@B"=B;= L; ;"=#



)'*+*!*F+*!*'*.*)1*,*.('*!+4('*);*!*'+'()'*+()-+)%*.) # JI

4# B

4# !?!;

• '=@=

=#

• +n 8 8:n#

4## !?!;

• : =L =? 8 8 n #

• % ?" 8n

#

• '=@=@P;Q#

4#" !=!D

• ' ? 8:P!:Q#

4#4 !=!D

• )?;:n;=L:=8#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#JJ

::;@:!:# :; : :@;@==@L=#:

; @ 8 @ 8;8;"@#=:=8:#@L ; 8= :: :; #

! 8?@#



8 !:=8: @ :;

; 8 =#)"8;@";

? ; : @ :# ? ; " = : =

#) = = 8 : " :; @

; 8 = :; !:#



*2() JM

.L=LH '&1"1"&

/,%HII#JB%$IJBI&,3$H($""M"'##3 8K6;

*;

;

P#40>0@3044#"QFR$



.('*!+4('*)U()'%+F*.%()'%')()+4+()#JN

I#$'"#

68.7# . S7DJO667J 67JO 65IO 65 7

7DJKJKJN7IJ66K7J JK6M 67565J JMHK 57DJJ6MI77JHHIJ 677KI7 67J6IO 6756 H7DJH765OH5J57K 6HH7IO 6J6O67 6HIJ I

7DINJI67I6 676J 67HM 6775 J7DIM6KI7I6 6J7O 6N67 6K K

7DIH77JK5N5KI6 HN77 JO67 IJ M7DI7HHIJ7I6HIJ 7H7O 56IO 7K N

7DHNHHHKHK 6N67 75IO 76 O

7DHJ76655N5M5I5K 6755I7 657K67 67IN 767DHHIJ 6H 6J 6I 777D5O57JI657J 5MJO INIO I6 75

7D5M666HIJ 65I7 6IIO 6I 7H7D5JINJ7HJ6KI6 5OH7 JHIO IJ 7I

7D5H7HIKI6 JK 67IK 67H6 7J

S

J# "%&1"#$'"#

6.87

#

. S & T7;ONHI65N 756 77O 7KO 7 75 J7;OIO7JNK HIJK HHKM IN5J 5 KI 5M7;O7NN657 IN66 IK67 KKIO H MJ H57;NNK5IMO 7HJ66 75M6O 7NJI7 I 75J JI7;N7J66MM M5 KJ OM J O I7;MNJ7O5O HK6 H7O IN7 K 56 O7;M7OONHM 5M66 55O7 HJI7 M JI 5J7;KO5M6OI OK6 MOO 75IO N H5 7J7;KI5KKOI K66 IN7 MKO O 5J 757;JNK755K KIN6 IOK7 N7K7 76 N7 I67;JK5J66 K6 IJ MJ 77 5 7

7;INOI7KN 5I66 7KMO 5O5O 75 IN 5J7;IJ667MI 5I6 7K7 5NO 7H 7J N7;IH65HNN 5M66 7MM7 H55O 7I J6 5M7;HNM7K6J O6 JK 76K 7J O J

(L % ( * "$ %&" " G %$&$" %" 0$'&1" 1"&G #$""(#&$""%"'"<$3#1"#'$



*2() JO

.8:*&;(@;2@*&;

&^*^H6;

!:

5^&5 U&5;5^J65UH65

5^5J66UO66

5

^

7K66;Î6;*";

(Û2;

;(Î6U2;

*25^(5Z&5

25^PI6U2Q5ZH6525Î65UN62Z25ZH6525^7K66UN62Z25ZO66;

N62^5J66;2^5J66YN6^75JYI^H7#5J;

S8&8U;

2^H7D7J



.('*!+4('*)U()'%+F*.%()'%')()+4+()#K6

!

=::6DIJPQ7D7JPQ#);:=^6#MJPQ;=::;@P!:Q

5Z5^P7#5JQ5PQ

;^6#MJY;

5ZP6#MJYQ5^P7#5JQ5IZ6#JK5J^7#JK5J5

IU7#JK5J5Z6#JK5J^6;

^7;^6#MJPQ

";?;

;5^7DH6

)5Z5^7DHH;IJ

;5Z5U5^6DH;IJ

U^6D7J

=5PUQY5^6DM;H6

!=

5

Z5

U5^6DH;IJI;;5YIZ5YIUY5^6D6;JK;7J

^6DIJ5YIZ5YIZY5^6DIJ;JK;7J

PZQY5^6DJ5;H6



*2() K7

*";PUQY5^6DM;H6

PZQY5^6DJ5;H6

^7

!;

PZQY5^6DJ5;H6 UPPUQY5^6DM;H6Q

;^6DIJ

!:^7;^6DIJPQ



.('*!+4('*)U()'%+F*.%()'%')()+4+()#K5

/IK#1"&

/,%HIIJJJ<'""'&#*"L@#% = ; " @ :;=:8:J66@:"

8K6 "!:#""=8@HK6K6K6;# : " : @ 8#8;H66:;566=;;;;#

.;??;;U"# 8 : : U$ )$# : D : "

;;:#



*2() KH

"?!4

[.::[P;+#HKQ#/IM# $%$#&1";E'&#

@)0&2&$"#$0J$6&$S.($%)#T[)::

::[P;+#I7Q

/IN# $%$#&1"=9'&#

@)0&2&$"#$0J$6&$S.($%)#T



.('*!+4('*)U()'%+F*.%()'%')()+4+()#KI

%&#'&()&"*%+,#'<!<6 &-.*)&"7

()'*+F.*+%*.*S%2+)'.*)%!'/++.*)++'%/'+* ()'%+* )(&' .* $+!(%)* %'+4%.( '4%.( 3 .* )%* .*) )%!'/++) .*))++'%/'+*) S% ) ()'%3 )(&' .() *() .+)('+4%.(

::;/IO#)"'$&)"'$

@)0&2&$"#$0J$6&$S.($%)#T*@;=;Y5;Y5Y5/J6#)"'$&)"'$9

@)0&2&$"#$0J$6&$S.($%)#T



*2() KJ

:@

)ôPY5Q5Y5ô5YN:@

) ôPY5Q5Y5ô5YN

:@

)ôPY5Q5Y5ô5YN*)) ;

)Z) ô5YNZo5YN)Z) ^PoYNQP5Z5Q

!;5Z5^5

)Z) ô5YN.

)Z) ^)*;:@"

::=:@:#%'$#*'%$%%1&#3)%&'*'0'&$"#' #$$#$#)"'$&)"'$G#%*'##0'##"#<"#"#/G$*'#&$"##'%0&0'##<"#%""&'$'"$ #'#$#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#KK

)@;/J7# $#&1"C9

@)0&2&$"#$0J$6&$S.($%)#T! ; : : !; = ";ZU#/J5# $#&1"C

@)0&2&$"#$0J$6&$S.($%)#T3;:;

PUQY^YPZQ

5^PZQPUQ

5^5U5

*5^5Z5

)8::L!:#



\7]*.-*',;3;(=#

;%=P566JQ\5]*!();*;+88;%=;7OOI\H](,4.,%'&*<*;!;!:.;566K#

\I](,*.,%'&*<*;!; $$)$#!",#$ $6&=LLLO$##'=)+*aH5;=566N#\J]+-(''**)+..(;;;BU$;5665#\K].**)'!'p+))E3+'(;""@;A'";7ONJ#

\M]##;::;566O\N]##;.;7OON\O](&'F+-4;*:;);7OOJ#\76]!(('G.(-*#-#;UL;7OO7#

\77]A%))+$*);.$:U7OON#



.('*!+4('*)U()'%+F*.%()'%')()+4+()#KN

<

\7]"YY"6#C#YWY=YYC+Y+IM#"

\5]"YYC##Y

\H]"YY###=Y@Y"7K#@

\I]"YY##YYYY*)6O76<-#@

\J]"YY=#

\K]"YY##@=#YWYBY

\M]"YY##YYBY9Y$Y\N]"YY###YW5YBY7Y#"

\O]"YYB@##=YYYY967T9Y

\76]"YYB###YYYYY

\77]"YYBBB###YWYY#"

\75]"YY=#"#YBCY$Y*.$Y5Y

\7H]"YY##Y566NY755565TOTTTTT

\7I]"YY"B#B@#Y!""#"

\7J]"YYBBB#T"TC#Y"Y#"

\7K]"YYBBB##YY9Y67Y7#"

\7M]"YYBBB##Y=Y."YHMI6Y#"

\7N] "YYBBB#=#Y=YY= Y=YY

el_teorema_de_pitÁgoras_

Documents