Fundamentos de Motores a Reacción

!
!
!
!2345,63789+46+,878.69+5+.65::;<3+
!"#$%&'()*++$
!
!
!
"#$%&'())*+#,!
!
1$)&$!23)!4#-5$#3)!6+$23)!2%!5$73#%!$(!2%!4#34+2)-.(!&$!2%)!%$#3(%6$)!)-$54#$!8+$!+(%!4#$3,+4%,-.(!
&$!23)!-(9$(-$#3):!;%,%#!5<)!4%#%!5$73#%#!2%)!,%#%,*$#=)*-,%)!&$!6+$23!>!$)*%#!+(!4%)3!5<)!%22<!?+$!$2!
$($5-93:!@3!326-&$53)!?+$!2%!%6-%,-.(!)$!&$)%##322.!5%>3#5$(*$!$(!$2!*$##$(3!5-2-*%#:!!
A%)!BC2-,$)!$54$D%E%(!%!53)*#%#!)+)!2-5-*%,-3($)!>!)$!($,$)-*%E%!5<)!43*$(,-%!5<)!6$23,-&%&!,3(!
5$(3)!4$)3!>!,3542$7-&%&:!A3)!53*3#$)!&$!4-)*.(!*+#E3%2-5$(*%&3)!B%E=%(!22$9%&3!%2!2=5-*$!&$!)+!
,%4%,-&%&!4#34+2)3#%!&+#%(*$!2%!''!F:G:!
!
;-(!$5E%#93H!%2$5%($)!$!-(92$)$)!B%E=%(!-(6$(*%&3!+(!(+$63!)-)*$5%!&$!4#34+2)-.(:!I2!53*3#!%!
#$%,,-.(:!I(!0JKJH!L#%(M!NB-**2$H!+(!736$(!,%&$*$!&$!2%!O"L!&-)$P.!$2!4#-5$#!#$%,*3#!,$(*#=8+93:!
"+(?+$!(3!23!4%*$(*.!B%)*%!Q!%P3)!5<)!*%#&$!>!(3!8+$!53(*%&3!$(!+(!%6-.(!B%)*%!0JR0:!!
!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
$
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!0!
!
S3#!3*#3!2%&3!$2!%2$5%(!T%()!63(!UB%-(H!%4%#$(*$5$(*$!%2!5%#9$(!&$!23)!$)*+&-3)!&$!NB-**2$H!&-)$P3!
$2!)+>3!4#34-3!$(!0JQV!>!2%!%2$5%(-%!@%D-!&$!$(*3(,$)!53)*#.!-(*$#C)!43#!$2!43#!23!?+$!23!53(*.!$(!
+(!%6-.(!$(!0JQJ:!I2!T$-(M$2!T$/0WX:!
!
$
$
Y+-D<)!$2!#$%,*3#!5<)!434+2%#!&$!2%!C43,%!8+$!$2!4#-5$#3!?+$!$(*#.!$(!,35E%*$!?+$!8+$!$2!
G$))$#),B5-**!G$KZK:!!
$
$
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!K!
!
I(!C)*$!)$!B%E=%5!53(*%&3!#$%,*3#$)!%[-%2$)!>!,3()$9+=%!6$23,-&%&$)!&$!6C#*-93!4%#%!2%!C43,%:!S$#3!
4#3(*3!23)!%2$5%($)!&$),+E#-$#3(!2%)!&3)!9#%(&$)!2-5-*%,-3($)!&$!23)!#$%,*3#$)\!
!
/ A%)!%2*%)!*$54$#%*+#%)!&$!23)!9%)$)!&$!)%2-&%!?+$!5%,B%,%E%(!23)!4#34-3)!5%*$#-%2$)!&$2!
53*3#:!
/ ]!$2!^)4332!+4!*-5$_:!`(!#$%,*3#!*%#&%!2%#93)!)$9+(&3)!$(!%,$2$#%#!&$)&$!#%2$(*=!B%)*%!5<[-5%!
43*$(,-%:!0X!)$9+(&3)!$(!23)!a+53!bbR/c!&$2!G$))$#),B5-**dd!!
!
I(!2%!4#-5$#%!2-5-*%,-.(H!>!*#%)!2%!''FGH!)$!*+6-$#3(!?+$!-&$%#!(+$63)!5%*$#-%2$):!G<)!#$8+$#D3)!&$!
@-?+$2!>!e%&5-3!$(!2%)!%2$%,-3($):!"+(!%)=!23)!#$%,*3#$)!%,*+%2$)!)-9+$(!*$(-$(&3!2%!*$54$#%*+#%!
,353!%293!,#=*-,3!>!$)!+(!-(&-,%&3#!5+>!%!*$($#!$(!,+$(*%:!IFfH!'ff!3!)=542$5$(*$!^f$54$#%*+#%!&$!
9%)$)!&$!)%2-&%_!$(!23)!#+)3):!!
I(!2%!)$9+(&%!)$!B%!,3()$9+-&3!#$&+,-#!23)!*-$543)!&$!#$)4+$)*%!%+(!%)=!6$#$53)!?+$!(3!$)!
-(5$&-%*%:!
I2!4#-,-4-3!&$!8+(,-3(%5-$(*3!$)!E-$(!)-542$:!",,-.(!>!#$%,,-.(!)$9g(!2%!*$#,$#%!2$>!&$!@$h*3(:!;-!
B-(,B%53)!+(!923E3!>!23!)32*%53)!$2!%-#$!$[4+2)%&3!43#!$2!923E3!i%,,-.(j!4#3&+,$!+(%!8+$#D%!&$!-9+%2!
-(*$()-&%&!>!)$(*-&3!,3(*#%#-3!i#$%,,-.(j!?+$!4#34+2)%!%2!923E3:!!
!
!
!
I)*$!$)!$2!5-5)3!4#-(,-4-3!+*-2-D%&3!$(!23)!,3B$*$)!>!8-(%25$(*$!$(!23)!*+#E3#$%,*3#$):!A%!,%(*-&%&!&$!
I54+7$!4#3&+,-&3!&$4$(&$!&3)!,3)%):!A%!,%(*-&%&!&$!%-#$!?+$!)3(!,%4%,$)!&$!536$#!>!&$!2%!
%,$2$#%,-.(!?+$!2$!4#3&+D,%(!%!$)*$:!1$!5%($*%!?+$!43&$53)!*$($#!2$(*3)!#$%,*3#$)!?+$!4#3&+D,%(!
5+>!43,%!%,$2$#%,-.(!&$!%-#$!4$#3!5+$6%(!+(!9#%(!,%+&%2H!,353!$(!$2!,%)3!&$!23)!53&$#(3)!
#$%,*3#$)!,-6-2$)!3!$2!"0b:!U!#$%,*3#$)!+2*#%#<4-&3)!,3(!53*3#$)!&$!4$?+$P3!&-<5$*#3!&$!43,3!,%+&%2!
&$!%-#$!4$#3!?+$!23!%,$2$#$(!%!9#%(&$)!6$23,-&%&$)!,353!$)!$2!,%)3!&$2!G-9K0:!!!
!
I2!$54+7$!$)!+(%!8+$#D%!>!#$)43(&$!%!2%!)$9+(&%!2$>!&$!@$h*3(\!
!
!!!!!!!L!k!5![!%!!!!!!! !
!
!
!!!!I!k!F![!i!l!m!lbj!
!
13(&$!^F_!$)!$2!,%+&%2!3!^9%)*3_!&$!%-#$!>!43#!*%(*3!2%!5%)%!>!il/lbj!$)!$2!-(,#$5$(*3!&$!6$23,-&%&!
?+$!)$!2$!&%!%!$)$!,%+&%2:!U!)$%!2%!%,$2$#%,-.(:!!!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!!!!!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!Q!
!
-(%.&%/0)$&%/1!2!%/0)$&%/1!'/!'&.3/!43(5&!&!$(%.&40#,!
!
l-)*3!$)*3!43&$53)!-(*#3&+,-#!23)!&3)!*-43)!&$!#$%,*3#$)!?+$!6%53)!%!6$#!%!23!2%#93!&$2!
,+#)3:!!
!
I2!4#-5$#3!>!5<)!)$(,-223!$)!+(!#$%,*3#!4+#3:!!
!
!
!
"E)3#E$!$2!%-#$H!23!,354#-5$H!)$!4#3&+,$!+(%!-9(-,-.(!>!2%!$[4%()-.(!&$!9%)$)!4#34+2)%!$2!53*3#!>!
5+$6$!23)!%2%E$)!&$!2%!*+#E-(%!?+$!%!)+!6$D!$)!$2!5-)53!$7$!&$2!,354#$)3#!>!43#!*%(*3!*%5E-C(!23!
5+$6$:!I2!,%+&%2!&$!%-#$!?+$!5+$6$!$)!4$?+$P3!4$#3!2$!%42-,%!+(%!9#%(!%,$2$#%,-.(:!!
!
I2!)$9+(&3!)-)*$5%!8+(,-3(%!E<)-,%5$(*$!,353!$2!4#-5$#3!4$#3!2$!B$53)!%,342%&3!+(!9#%(!
^6$(*-2%&3#_!&$2%(*$:!`(!L%(!$(!-(92C):!!
!
!!
!
!
I)*3)!53*3#$)!(3!)3(!*%(!%2%#9%&3)H!*-$($(!5$(3)!$*%4%)!>!43#!*%(*3!%,$2$#%(!5$(3)!$2!%-#$H!4$#3!
43#!3*#3!2%&3!$2!8%(!5+$6$!+(!FO"@!,%+&%2!&$!%-#$:!F$($#%53)!%)=!5$(3)!#+-&3!>!,3()+5-53)!
5$(3)!%!$[4$()%)!&$!632%#!+(!43,3!5<)!2$(*3:!S$#3!4%#%!$2!6+$23!)+E).(-,3!$)!4$#8$,*3:!"+(?+$!$(!!
%29+(3)!,%D%)!*%5E-$(!+*-2-D%(!$)*$!4#-(,-4-3!4$#3!,3(!+(!8%(!5%)!4$?+$P3!>!&<(&3!5<)!%,$2$#%,-.(:!
`(!,%5-(3!%!5$&-%):!I(!%5E3)!,%)3)!)3(!#$%,*3#$)!&$!&3E2$!82+73:!!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!R!
!
!
I(!$)*$!*-43!&$!53*3#!43&#$53)!&-8$#$(,-%#!&3)!82+73)!&$!%-#$:!I2!4#-5%#-3!?+$!$)!$2!?+$!%*#%6-$)%!
*3&3!$2!,354#$)3#H!,<5%#%!&$!,35E+)*-.(!>!)%2$!43#!2%!*+#E-(%:!]!$2!;$,+(&%#-3!?+$!)-542$5$(*$!
*#%6-$)%!$2!8%(:!1$4$(&-$(&3!&$2!53*3#H!*$(&#$53)!+(!5%>3#!82+73!&$!%-#$!4#-5%#-3!?+$!)$,+(&%#-3!3!
6-,$6$#)%:!"!$)*$!43#,$(*%7$!)$!2$!22%5%!^=(&-,$!&$!&$#-6%,-.(_!>!$)!23!?+$!(3)!&%#<!+(%!-&$%!&$!?+C!
4%#*$!4#3&+,$!5<)!$54+7$:!;-!$2!L%(!3!$2!(+,2$3:!A3)!#$%,*3#$)!,-6-2$)!)+$2$(!*$($#!+(!5%>3#!82+73!
)$,+(&%#-3!?+$!4#-5%#-3:!I2!L%(!4#3&+,$!5<)!$54+7$:!]!$)!43#!$)3!?+$!)+)!=(&-,$)!&$!&$#-6%,-.(!)3(!
%2*3)!0nV!m!0nJ:!S3#!$7$5423!23)!53*3#$)!&$2!cWWW!&$#-6%(!+(!Jbo!&$2!%-#$!%2!8%(:!!;-$(&3!$2!
)$,+(&%#-3!$2!?+$!4#3&+,$!2%!5%>3#!4%#*$!&$!2%!4#34+2)-.(!&$2!f+#E38%(:!l$#$53)!?+$!$(!23)!
53*3#$)!,3(!5$(3#!=(&-,$!,353!$(!23)!,%D%)H!$)!7+)*%5$(*$!23!,3(*#%#-3:!!!
!
I2!$7$!&$!53*3#!&$!+(!*+#E38%(!3!&$!&3E2$!82+73!)+$2$!$)*%#!)$4%#%&3!43#!&3)!$7$)!,3(,C(*#-,3):!`(3!
,3($,*%&3!%2!^L%(_!>!$2!3*#3!,3($,*%&3!%2!^*+#E3##%,*3#_:!!
!
$
!
e353!(3*%H!)-!$(!2+9%#!&$!+(!8%(!2$!,3($,*<)$53)!+(%!BC2-,$!*$(&#$53)!+(!*+#E3BC2-,$H!>!)-!
,3($,*<)$53)!+(%!,3($[-.(!5$,<(-,%!%!+(%!,%7%!&$!,%5E-3)!*$(&#=%53)p!+(!*+#E3$7$H!?+$!$)!23!?+$!
-54+2)%!%!(+$)*#3)!%5-93)!23)!B$2-,.4*$#3):!!!
!
S$#3!6326-$(&3!%!23)!*+#E38%($)H!8-7%3)!$(!$2!$7$!5<)!3),+#3!&$2!*+#E3##$%,*3#!>!?+$!9-#%!43#!$2!
$[*$#-3#!&$2!$7$!&$2!L%(:!e3(!*$($#!&3)!$7$)!-(&$4$(&-$(*$)!,3()$9+-53)!?+$!$2!82+73!&$!%-#$!)$!
5+$6%!5<)!B3539$($%5$(*$!>!)$%!2%!5$,<(-,%!2%!?+$!)$!%&%4*$!%!$)*$:!S3#!23!?+$!%5E3)!$7$)!)$!
536$#<(!%!&-8$#$(*$)!6$23,-&%&$):!I)!43#!$223!?+$!$(!$)*$!*-43!&$!53*3#!6%53)!%!*$($#!K!-(&-,%,-3($)!
&$!)+)!#$632+,-3($)\!
!
/ I2!&$2!$7$!&$!c"a"!SOI;'q@:!I)!&$,-#H!$2!&$2!8%(!43#!&3(&$!)$!^E>4%)$%_!2%!,<5%#%!&$!
,35E+)*-.(:!I(!23)!%6-3($)!3,,-&$(*%2$)!%!$)*3!)$!2$!,3(3,$!,353!@0!3!L"@!i"0bj:!I(!23)!
%6-3($)!#+)3)!)=542$5$(*$!ASe!i&$!2%)!)-92%)!$(!-(92C)!^23h!4#$))+#$!,354#$))3#_j:!!
/ I2!&$2!$7$!&$!"Af"!SOI;'q@!?+$!$)!$2!$7$!?+$!5+$6$!23)!<2%E$)!&$2!(g,2$3!43#!&3(&$!4%)%!$2!
%-#$!4#-5%#-3!%!*#%6C)!&$!2%!,<5%#%!&$!,35E+)*-.(:!I(!23)!%6-3($)!3,,-&$(*%2$)!)$!,3(3,$!
,353!@K!ie3#$!$(!$2!"0bj:!I(!23)!%6-3($)!#+)3)!TSe:!
!
A3!,3(8+)3!&$!$)*3!$)!?+$!$(!23)!-(&-,%&3#$)!&$!OSG!&$!23)!%6-3($)!#+)3)!$[-)*$(!&3)!%9+7%)!,3(!
(g5$#3):!0!>!K:!"2!,3(*#%#-3!?+$!23)!%6-3($)!3,,-&$(*%2$)H!$2!0!(3!)-9(-8-,%!@0!)-!(3H!^%-#$!4#-5%#-3_:!
S3#!*%(*3!-(&-,%!2%)!#$632+,-3($)!&$2!TSe!i23!?+$!$(!23)!%6-3($)!3,,-&$(*%2$)!$)!@Kj:!I2!K!$)!$2!<-#$!
)$,+(&%#-3!>!43#!*%(*3!ASe:!
!!
F$($#%25$(*$!)$!+)%(!2%)!#$632+,-3($)!,353!5$&-&%!&$!$54+7$:!;-!$2!#$%,*3#!$)!&$!%2*3!=(&-,$!&$!
&$#-6%,-.(H!)-!)$!^E>4%)$%_!5<)!%-#$!&$2!?+$!4%)%!43#!$2!(+,2$3H!)$!+)%#<(!2%)!#$632+,-3($)!&$2!ASe!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!V!
!
43#!4#3&+,-#!C)*$!82+73!2%!5%>3#=%!&$2!$54+7$:!I)*3!$)!%)=!$(!$2!,%)3!&$!23)!#$%,*3#$)!&$!4%)%7$#3):!;-!
$)!&$!E%73!=(&-,$!&$!&$#-6%,-.(!)$!+)%#<!TSeH!,353!$(!$2!,%)3!&$!2%!5%>3#=%!&$!,%D%)!iG-9K0H!AQJ::jH!3!
$2!e3(,3#&$:!T%>!?+$!5$(,-3(%#H!)-(!$5E%#93H!?+$!$(!$2!"0b!>!%!4$)%#!&$!*$($#!53*3#$!&$!9#%(&$)!
=(&-,$)!&$!&$#-6%,-.(H!$(!$2!I;"!*%5E-C(!+)%53)!$2!TSe!ie3#$j!,353!5$&-&%!&$!$54+7$!&$E-&3!%!?+$!
(3)!&%!+(!#%(93!5<)!4#$,-)3!$(!$2!43#,$(*%7$!&$!OSG:!S3#!2%!5%($#%!?+$!$)*<!53&$2%&3!$2!53*3#!$(!
$2!1e;/"0bH!$2!L%(!,353!5+,B3!22$9%!%2!WVo!%!42$(%!43*$(,-%:!I(!$2!%6-.(!#$%2H!)-(!$5E#%93!)$!+)%(!
2%)!OSG!&$2!L%(!,353!5$&-&%!&$!$54+7$H!>%!?+$!$)*$!4#3&+,$!$2!Xbo!&$2!$54+7$!&$2!53*3#:!!
!
U*#%!,3()-&$#%,-.(!?+$!B%>!?+$!*$($#!$(!,+$(*%!$)!?+$!2%)!OSG!&$2!53*3#!(3!)3(!2-($%2$)!%2!$54+7$:!
I)!&$,-#H!+(!-(,#$5$(*3!&$!0bo!&$!@0!&$)&$!#%2$(*-!4#3&+,$!+(!-(,#$5$(*3!&$!$54+7$!5+,B3!
5$(3#!?+$!+(!-(,#$5$(*$!&$!0bo!&$!@0!)3E#$!$2!$2!Xbo!
!
I(!2%!9#<8-,%!%&7+(*%!)$!6$!$2!$54+7$!&$!+(!53*3#!afX1!%!(-6$2!&$2!5%#!i%D+2j!>!!LAKJb!i5%9$(*%j:!!
;-$(&3!$2!#%2$(*=!+(!Kbo!&$!@0H!$(!2%!,+#6%!%D+2H!4%)%#!&$2!Kbo!%2!Rbo!4#3&+,$!)323!+(!%+5$(*3!$(!
+(!Vo!&$!$54+7$:!G-$(*#%)!?+$!)-!$2!-(,#$5$(*3!$)!&$2!Xbo!%2!0bbo!$2!$54+7$!%+5$(*%!+(!QVo:!!
!!
"29+(3)!#$%,*3#$)!,353!23)!8%E#-,%&3)!43#!O322)!O3>,$!+*-2-D%(!3*#%!#$8$#$(,-%!4%#%!5$&-#!$2!$54+7$:!
;$!22%5%!ISO:!,%-./-0$!#0112#0$3*4/"5!>!$)!+(%!#$2%,-.(!$(*#$!2%!4#$)-.(!&$2!9%)!%!2%!)%2-&%!&$2!53*3#!
#$)4$,*3!2%!&$!$(*#%&%:!;+!6%23#!6%!&$!0:b!%!K!,35%!%293!>!$)*$!)-!*-$($!#$2%,-.(!2-($%2!,3(!$2!$54+7$:!!
"+(?+$!(3!4#38+(&-D%#$53)!5<)!>%!?+$!(3!*$($53)!%6-3($)!$?+-4%&3)!,3(!$)*$!*-43!&$!-(&-,%,-.(:!!
!
!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!Z!
!
!
63!'*4(1&%!'/!0'7*1*+#,!
!
!
!
A3)!#$%,*3#$)!)+$2$(!536$#)$!%!6$23,-&%&$)!&$!,#+,$#3!*#%().(-,%)!3!-(,2+)3!)+4$#).(-,%):!;-(!
$5E%#93!23)!53*3#$)!%!#$%,,-.(!$)*<(!2-5-*%&3)!4%#%!*#%E%7%#!,3(!+(!82+73!&$!%-#$!?+$!(3!)+4$#$!$2!
G%,B!b:V:!A3)!&-8+)3#$)!&$!%&5-)-.(!$)*<(!&-)$P%&3)!4%#%!#%2$(*-D%#!$2!%-#$!%!)+!22$9%&%H!%+5$(*%&3!
)+!4#$)-.(!%&-%E<*-,%5$(*$:!l$%53)!,353!23!B%,$(:!!
!
!
!
!
S%#%!$54$D%#!6%53)!%!&-8$#$(,-%#!$(*#$!23)!&-8+)3#$)!$(!23)!%6-3($)!)+E).(-,3)!>!23)!&-8+)3#$)!$(!23)!
%6-3($)!)+4$#).(-,3):!A%!#%D.(!$)!?+$!,353!6-53)!$(!$2!,%4=*+23!&$!%$#3&-(<5-,%H!2%!4#$)-.(!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!W!
!
#$)4$,*3!%!2%!6$23,-&%&!&$2!9%)!)$!,3543#*%!&$!5%($#%!&-)*-(*%!$(!82+73)!&$!%-#$!)+4$#).(-,3!!3!
)+E).(-,3:!!
!
6/721"#01$80$#0*94"#01$12:1;-/9"1$4/<"$</4"4=$
!
I)*3)!)3(!23)!*=4-,3)!&$!23)!%6-3($)!,35$#,-%2$)H!23)!?+$!*-$($!$2!"/0b!3!23)!&$2!;+KV:!
!
!
!
I(!$)*%)!%$#3(%6$)H!$2!&-8+)3#H!2%!$(*#%&%!&$!%-#$!*-$($!83#5%!&$!*+E3!2-)3!43#!&$(*#3!4$#3!
#$&3(&$%&3!$(!23)!E3#&$)!$[*$#-3#$):!;-!3)!8-7%-)!$(!2%!83*3!23)!E3#&$)!$[*$#-3#$)!*-$($(!+(%!83#5%!
,+#6%:!"B3#%!$[42-,%#$53)!2%!8+(,-.(:!!
!
!
!
!
I)*$!&-E+73!4$#*$($,$!%!23)!2%E-3)!&$2!&-8+)3#!&$!%&5-)-.(!%!&-8$#$(*$)!6$23,-&%&$)!>!&$!,.53!)$!
,3543#*%!$2!82+73!&$!%-#$:!L-7<3)!$(!2%!4#-5$#%!8-9+#%!&$2!&-E+73:!I)*<!,2%#3!?+$!%!E%7%)!6$23,-&%&$)!$2!
53*3#!)$!,3543#*%!,353!+(!%)4-#%&3#:!"E)3#E$!$2!9%)!43#!*3&%!)+!4%#*$!8#3(*%2!>!4%#*$!&$!2%!2%*$#%2:!
I2!%-#$!$!!-(,2+)3!,+%2?+-$#!3E7$*3:!S3#!$)3!$(!23)!%$#34+$#*3)!)$!*-$($!$)4$,-%2!,+-&%&3!,3(!23)!
3E7$*3)!$[*#%P3!?+$!4+$&%(!,%+)%#!&%P3)!%!53*3#$)!>!*$#,$#3):!"+(?+$!23)!#+)3)!$(!)+)!%6-3($)!&$!
,35E%*$!)3(!5<)!,3()$#6%&3#$)!$(!$2!&-)$P3!&$!)+)!,354#$)3#$)!>!$)*3)!4+$&$(!#$)-)*-#!)-(!
4#3E2$5%)!2%!-(9$)*-3(!&$!4$?+$P3)!3E7$*3)!$[*#%P3)!%2!%6-.(:!!
!
"!6$23,-&%&$)!5$&-%)!$2!53*3#!%E)3#E$!)323!$2!%-#$!?+$!*-$($!&$2%(*$:!S$#3!)-!3)!8-7<-)!$(!2%!*$#,$#%!
8-9+#%H!%!<2*%)!6$23,-&%&$)H!2%)!83#5%)!,+#6%)!&$2!2%E-3!&$!23)!&-8+)3#$)!&$!%&5-)-.(!4#3&+,$!?+$!4%#*$!
&$2!82+73!&$!%-#$!?+$!$)*<!&$2%(*$!&$2!53*3#!)$!&$)6-$!B%,-%!$2!$[*$#-3#!&$!2%!9.(&32%:!A%)!2-($%)!&$!
82+73!)$!)$4%#%(!!>!$2!%-#$H!,353!6-53)!$(!$2!*$3#$5%!&$!c$#(3+22-H!)$!#%2$(*-D%:!]!%)=!$)!,353!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!X!
!
,3()$9+-53)!?+$!632%(&3!%!G%,B!b:X!$(!+(!;+KV!$2!82+73!&$!%-#$!)$!#%2$(*-,$!%(*$)!&$!$(*#%#!$(!$2!
53*3#!%!G%,B!b:V:!!
"&$5<)!#%2$(*-D%#!$2!%-#$!4#3&+,$!+(!%+5$(*3!&$!4#$)-.(!$)*<*-,%!i*$3#$5%!&$!c$#(3+22-jH!43#!23!?+$!
$2!&-8+)3#!&$!%&5-).(!)+E).(-,3!>%!,3()-9+$!43#!)-!)323!,354#-5-#!4%#,-%25$(*$!$2!%-#$!%(*$)!&$!)+!
$(*#%&%!$(!$2!,354#$)3#:!!
!
$
6/721"#01$80$#0*94"#01$12<0#1;-/9"1=$
!
1$E-&3!%2!&-8$#$(*$!,3543#*%5-$(*3!%$#3&-(<5-,3!*-$($(!83#5%)!&-)*-(*%):!;3(!42%(3)!43#!23)!
$[*$#-3#$)!>!,+#63)!i,3(6$#9$(*$)j!$(!$2!-(*$#-3#!B%)*%!?+$!$2!82+73!$)!&$,$2$#%&3!%!6$23,-&%&!
)+E).(-,%:!"!4%#*-#!&$!%B=!)3(!&-6$#9$(*$)!$5+2%(&3!%2!&-8+)3#!)+E).(-,3:!!
!
!
!
T%>!+(!4+(*3!,#=*-,3!$(!2%!8%)$!&$!%&5-)-.(!?+$!$)!$2!4%)3!&$!6$23,-&%&!)+4$#).(-,%!%!)+E).(-,%:!A%!
,3##-$(*$!4#3&+,$!+(%!3(&%!&$!,B3?+$!%2!4%)%#!&$!+(3!%!3*#3:!;$!4#3&+,$!+(!E#+),3!)%2*3!&$!$($#9=%!
$(!83#5%!&$!3(&%!).(-,%!&3(&$!)$!4-$#&$!,%23#!>!4#$)-.(:!")=!?+$!+(!&-8+)3#!)+E).(-,3!,353!$2!&$2!"/
0b!*$(&#=%!+(%!3(&%!&$!,B3?+$!&$2%(*$!?+$!*%43(%#=%!2%!$(*#%&%!&$!%-#$!>!%B39%#=%!%2!53*3#:!!
!
S3#!$223!23)!-(9$(-$#3)!&-)$P%#3(!+(!&-8+)3#!?+$!,#$%#%!+(%!$)4$,-$!&$!3(&%!5<)!2-9B*!,3(3,-&%!,353!
3(&%!3E2-,+%:!I(!$)*%!3(&%!$)*<!,3(*#32%&%!>!$2!4%)3!&$!2%!,3##-$(*$!&$!)+4$#).(-,3!%!)+E).(-,3!$)!
5$(3)!%E#+4*3:!S%#%!$223!)$!$54$D%#3(!%!+)%#!23)!8%53)3)!,3(3)!?+$!5+,B3)!,%D%)!*-$($(!&$2%(*$!
&$!2%!%&5-)-.(!,353!43#!$7$5423!23)!G-#%9$!3!$2!G-9!K0:!S%#%!?+$!)$!$(*-$(&%!5$73#!+(%!3(&%!&$!
,B3?+$!3E2-,+%!$)!)-5-2%#!%!23!?+$!3,+##$!,3(!23)!E%#,3)!?+$!)+#,%(!$2!5%#!%!9#%(!6$23,-&%&!>!
4#3&+,$(!&3)!2-($%)!&$!$)4+5%!?+$!)%2$(!&$2!53##3!B%,-%!23)!2%&3):!!
!
!
!
!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!J!
!
!
!
!
!
!
e353!)$!4+$&$!%4#$,-%#!)$!,#$%!+(%!3(&%!3E2-,+%!%2#$&$&3#!&$2!,3(3!?+$!4$#5-*$!$2!4%)3!&$!%-#$!
B%,-%!$2!&-8+)3#!4$#3!%!+(%!6$23,-&%&!>%!-(8$#-3#:!;-!)$!4#3&+,$(!5<)!3(&%)!3E2-,+%)H!$6$(*+%25$(*$!
)$!22$9%#<!%!+(%!6$23,-&%&!-(8$#-3#!%!G%,B!0:!
!
U*#3!*-43!&$!&-8+)3#$)H!5<)!6-)*3)!$(!%6-3($)!53&$#(3)!,#$%(!$)%)!3(&%)!3E2-,+%)!$(!)+!-(*$#-3#:!!
I)!$2!,%)3!&$!23)!&-8+)3#$)!&$!%&5-)-.(!&$2!*-43ppp!
!
!
S$#3!#$?+-$#$(!+(%!%$#3&-(<5-,%!5+,B3!5<)!#$8-(%&%!>!+(%!,+#6%*+#%!$(!$2!-(*$#-3#!&$2!&-8+)3#!
%7+)*%E2$!%+*35<*-,%5$(*$!)$9g(!2%!6$23,-&%&:!I)*$!$)!$2!,%)3!&$2!L/0XH!G-9KJH!L/0VH!G-9KVH!$*,:!!
!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!0b!
!
!
!
"#$%&'(!")!*"+#&#,-!)-!%-!$./0!
!
S$#3!$2!4#-(,-4-3!$)!$2!5-)53:!e3(6$#9$(,-%!?+$!,#$%!3(&%)!3E2-,+%)!B%)*%!?+$!$2!82+73!)+4$#).(-,3!
#$&+,$!)+!6$23,-&%&!43#!&$E%73!&$!G%,B!0!>!2+$93!&-6$#9$(,-%!4%#%!?+$!2%!6$23,-&%&!&$2!%-#$!
&-)5-(+>%!>!)+!4#$)-.(!%+5$(*$!&$!%,+$#&3!%2!4#-(,-4-3!&$!c$#(3+22-:!!
$
!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!00!
!
63!)&78%/1&%,!
$
I2!,354#$)3#!$)!$2!$(,%#9%&3!&$!$(9+22-#!>!,354#-5-#!$2!%-#$!%!%2*3)!(-6$2$)!%(*$)!&$!-(>$,*%#2$!$2!
,35E+)*-E2$!$(!2%!,<5%#%!&$!,35E+)*-.(:!e3(!2%!,354#$)-.(!$2!%-#$!%+5$(*%#<!)+!*$54$#%*+#%H!>!
)$#<!5<)!-(82%5%E2$:!!
!
T%>!&3)!5%($#%)!E<)-,%)!&$!,354#-5-#!$)$!%-#$:!G$&-%(*$!+(!,354#$)3#!,$(*#=8+93!3!+(3!%[-%2:!!
!
>"?<#01"#$90-4#@72."=!
!
I2!,354#$)3#!,$(*#=8+93!8+$!$2!4#-5$#3!?+$!)$!&$)%##322.!>!$)!$2!?+$!)$!+*-2-D%!(3#5%25$(*$!$(!2%!
*+#E3%2-5$(*%,-.(!&$!53*3#$)!&$!4-)*.(!,353!$(!$2!&$!23)!,3,B$):!;+!8+(,-3(%5-$(*3!$)!)-542$:!F-#%!
)3E#$!+(!$7$!>!5$&-%(*$!+(3)!<2%E$)!%E)3#E$!%-#$!?+$!&$)4+C)!&$)6=%!,$(*#=8+9%5$(*$!B%,-%!23)!
$[*#$53):!I2!%-#$!)$!%,+5+2%!$(!23)!E3#&$)!,354#-5-C(&3)$!%(*$)!&$!4%)%#!%!2%!,<5%#%!&$!
,35E+)*-.(:!;3(!9$($#%25$(*$!&$!+(%!)32%!$*%4%!%+(?+$!$[-)*$(!%29+(3)!&$!&3)!$*%4%):!I(!2%!8-9+#%!
)-9+-$(*$!)$!4+$&$!6$#!+(!,354#$)3#!,$(*#=8+93!&$!+(%!$*%4%!>!)+!,3##$)43(&-$(*$!^,+*%h%>_!&3(&$!
)$!5+$)*#%!,353!82+>$!2%!,3##-$(*$:!I(!2%!8-9+#%!&$!%E%73!+(!,354#$)3#!&$!K!$*%4%):!!
$
$
S3#!)+!)$(,-22$D!5$,<(-,%!$)*$!$)!$2!53&$23!?+$!4#-5$#3!)$!&$)%##322.!>!$2!?+$!*3&%6=%!)$!+)%!$(!
,354#$)3#$)!4%#%!53*3#$)!&$!4-)*.(!if+#E3,354#$)3#!&$!23)!,3,B$)!3!&$!%6-3($)!*+#E3%2-5$(*%&3)!
4%#%!?+$!)+)!4-)*3($)!(3!4-$#&%(!,354#$)-.(!43#!$2!%+5$(*3!&$!%2*-*+&j!3!$(!23)!"S`:!I(!$)*3)!)$!
%4#36$,B%!+(%!&$!)+)!6$(*%7%):!;+!,3#*%!23(9-*+&:!!
$
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!0K!
!
e353!)$!4+$&$!6$#!#$?+-$#$!43,3!$)4%,-3!4%#%!,354#-5-#!%-#$!23!?+$!4$#5-*$!B%,$#!53*3#$)!5+,B3!
5<)!,3#*3)!>!?+$!,%E$(!8<,-25$(*$!$(!4$?+$P3)!$)4%,-3):!"&$5<)!43#!23!9$($#%2!$)*$!*-43!&$!
,354#$)3#!%+5$(*%!43#!R!2%!,354#$)-.(!&$2!%-#$!$(!+(%!)32%!$*%4%:!l$#$53)!?+$!23)!,354#$)3#$)!
%[-%2$)!#$?+-$#$(!43#!23!9$($#%2!+(!5=(-53!&$!X!$*%4%)!4%#%!22$9%#!%2!5-)53!#%*-3!&$!,354#$)-.(!43#!
23!?+$!&$#-6%#<!$(!53*3#$)!5<)!%2%#9%&3):!!
A%)!4$9%)!&$!$)*$!53*3#!$)!?+$!)3(!,3#*-*3)!4$#3!5+>!%(,B3):!O$?+-$#$(!+(!9#%(!&-<5$*#3!$(!
4#343#,-.(!%!23)!%[-%2$)!>!$)!43#!$223!?+$!4%#%!536$#!9#%(&$)!,%+&%2$)!&$!%-#$!)3(!43,3!4#<,*-,3)!$(!
23)!%6-3($)!43#?+$!#$?+$#-#=%!9.(&32%)!53*#-,$)!5+>!%(,B%)!>!43,3!%$#3&-(<5-,%):!!
!
$
>"?<#01"#$*A/*B=$
!
I)*3!53*-6.!%!23)!%2$5%($)!%!&$)%##322%#!$2!4#-5$#!,354#$)3#!%[-%2!&+#%(*$!2%!''!F+$##%!G+(&-%2:!I2!
8+(,-3(%5-$(*3!&$!$)!+(!43,3!5<)!,3542$73!&$!$[42-,%#:!e%&%!$*%4%!&$2!,354#$)3#!)$!,3543($!&$!
+(!#3*3#!i+(3)!<2%E$)!?+$!9-#%(j!>!+(!$)*<*3#!!i+(3)!<2%E$)!$)*<*-,3)!%*#%,%&3)!%!2%)!4%#$&$)!&$2!
53*3#j:!lC%)$!2%!)-9+-$(*$!8-9+#%:!!
!
!
!
!
I2!#3*3#!9-#%!>!&-#-9$!%-#$!%!9#%(!6$23,-&%&!B%,-%!$2!$)*<*3#!?+$!,3(6-$#*$!2%!$($#9=%!,-(C*-,%!&$2!5-)53!
$(!43*$(,-%2:!I2!$)*%*3#!#%2$(*-D%!$2!%-#$!4%#%!%+5$(*%#!)+!4#$)=3(H!2%!)-9+-$(*$!$*%4%!&$2!#3*3#!&%!
6$23,-&%&!%!$)*$!%-#$!,354#-5-&3!>!23!*#%()-8-$#$!%2!)-9+-$($!$)*<*3#!?+$!6+$26$!%!#%2$(*-D<#23!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!0Q!
!
%+5$(*<(&3!&$!(+$63!)+!4#$)-.(!>!%)=!)+,$)-6%5$(*$:!e+%(*%)!5<)!$)*%4%)!5<)!4#$)-.(!>!$2!
,3(&+,*3!&$!%-#$!)$!$)*#$,B%!4%#%!5%(*$($#!2%)!%2*%)!4#$)-3($)!?+$!>%!*-$($!$2!%-#$:!!
!
!
I(!$2!)-9+-$(*$!&-%9#%5%!)$!4+$&$!6$#!,353!$(!$2!$)*<*3#!&$!+(!,354#$)3#H!$2!6$,*3#!&$!6$23,-&%&!&$2!
%-#$!)$!%,3#*%!i&-)5-(+>$!)+!6$23,-&%&j!%+5$(*%(&3!)+!4#$)-.(!$)*<*-,%!i4#-(,-4-3!&$!c$#(3+22-j:!
!
!
!
e+%(*%)!5<)!$)*%4%)!*$(9%53)!5<)!,354#-5-&3!$)*%#<!$2!%-#$:!f3&%!$)*%!,354#$)-.(!7+9%#<!%!
(+$)*#3!8%63#!&+#%(*$!2%!,35E+)*-.(!>%!?+$!4#3&+,-#<!+(%!$[4%()-.(!&$!9%)$)!5+,B3!5%>3#!>!(3)!
4#343#,-3(%#<!+(!5%>3#!$54+7$:!I2!g(-,3!2=5-*$H!$2!*%5%P3!>!2%!#$)-)*$(,-%!&$!23)!5%*$#-%2$):!I)!
(3#5%2!?+$!*%(*%!,354#$)-.(!$(!$2!%-#$!$2$6$!)+!*$54$#%*+#%!6%#-3)!,-$(*3)!&$!9#%&3):!S3#!$)3H!$)!$(!
$)*%!D3(%!&$2!53*3#!&3(&$!23)!#$%,*3#$)!&$#-6%(!,-$#*%!,%(*-&%&!&$!$)$!%-#$!,354#-5-&3!,%2-$(*$!%!
3*#3)!)-)*$5%)!,353!23)!%(*-B-$23)!3!$2!)-)*$5%!&$!%-#$!%,3(,-&-3(%&3!i4#$)+#-D%,-.(j:!"!$)*3!)$!2$!
22%5%!$2!)%(9#%&3!&$!%-#$!>!$)!,35g(!$(!*3&3)!23)!#$%,*3#$):!S3#!$7$5423!$(!$2!53*3#!&$!2%!8-9+#%!
)-9+-$(*$!)$!)%(9#%!%-#$!&$!2%!V!>!2%!J!$*%4%!&$2!,354#$)3#:!!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!0R!
!
!
!
!
!
90!):70%0!'/!)&7.(1$*+#,!
!
f#%)!)%2-#!&$2!,354#$)3#!$2!82+73!&$!%-#$!,354#-5-&3!$(*#%!$(!2%!,<5%#%!&$!,35E+)*-3(:!"?+=!2%)!%2*%)!
*$54$#%*+#%)!&$2!UK!,3(!$2!,35E+)*-E2$!4#3&+,$(!+(%!22%5%!&$!2%!?+$!)%2&#<!eUK!>!6%43#!&$!%9+%!
7+(*3!,3(!+(%!9#%(!$[4%()-.(!&$!9%)$)!%!%2*%)!*$54$#%*+#%):!I)*%!$[4%()-.(!%,$2$#%!2%!5%)%!&$!9%)!
)%2-$(*$!B%,-%!2%!*+#E-(%!?+$H!%!)+!6$DH!536$#<!$2!,354#$)3#!>!8-(%25$(*$!)%&#<!43#!2%!*3E$#%!
-54+2)%(&3!$2!%6-.(!)-9+-$(&3!2$>$)!&$!@$h*3(:!e353!43&C-)!6$#!+(%!6$D!-(-,-%&3!$2!)-)*$5%!)$!
5%(*-$($!%+*.(35%5$(*$:!@3!#$?+-$#$!+(%!,B-)4%!,3(*-(+%5$(*$!4%#%!2%!-9(-,-.(!,353!$(!+(!
53*3#!&$!4-)*.(:!!I[-)*$(!+(!)-)*$5%!&$!-9(-,-.(!i,B-)4%j!4%#%!%##%(,%#23!>!4%#%!-54$&-#!$2!%4%9%&3!
&$!22%5%!$(!,3(&-,-3($)!&+#%)!&$!34$#%,-.(!,353!-(9$)*-.(!&$!%9+%!43#!22+6-%!3!B-$23:!S$#3!$(!
,3(&-,-3($)!(3#5%2$)H!5-$(*#%)!*$(9%!,35E+)*-E2$!?+$!-(>$,*%#!$(!2%!,<5%#%!&$!,35E+)*-.(!*3&3!$2!
4#3,$)3!?+$!%?+=!&$),#-E-53)!)$!#$%2-D%#<!4$#4$*+%5$(*$:!!
!
rY+$!3,+##$!$(!2%!,<5%#%!&$!,35E+)*=.(s!I(*#%!%-#$!5+>!,%2-$(*$!?+$!%2!,35E+)*-3(%#!%+5$(*%!)+!
*$54$#%*+#%!%+(!5<):!I)*%)!%2*%)!*$54$#%*+#%)!&-2%*%(!>!$[4%(&$(!$)3)!9%)$)!?+$!)$!$[4$2-#<(!43#!2%!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!0V!
!
*3E$#%:!I)*%53)!B%E2%(&3!&$!5-2$)!&$!9#%&3)!?+$!43&#=%(!&$##$*-#!,+%2?+-$#!5%*$#-%2:!"?+=!
$54$D%53)!%!22$9%#!%!23)!2=5-*$)!&$!23)!5%*$#-%2$)!,3(3,-&3)!43#!$2!B35E#$:!re.53!B%,$#!?+$!(3!)$!
&$##-*%!2%!,<5%#%!&$!,35E+)*-.(!2-*$#%25$(*$s!
!
A%!,35E+)*-.(!)$!4#3&+,$!,3(!+(%!#$2%,-.(!&$!0nX:!S3#!,%&%!4%#*$!&$!,35E+)*-E2$!($,$)-*%#$53)!X!
4%#*$)!&$!%-#$!4%#%!?+$!)$%!4$#8$,*%:!S$#3!23)!-(9$(-$#3)!-&$%#3(!?+$!%!2%!,<5%#%!&$!,35E+)*-.(!
22$9%#%!5<)!%-#$!&$!$)%)!X!4%#*$):!"!2%!E3,%!&$!2%!,<5%#%!22$9%!%-#$!$(!+(%!#$2%,-.(!&$!0n0Z:!rY+-D<)!
&$5%)-%&3s!c+$(3!)$!2$!)%,%!4#36$,B3:!!I)$!%-#$!,353!43&$-)!6$#!)$!&-6-&$!$(!&3):!S%#*$!)$!&$)*-(%!%!
2%!,35E+)*-.(!>!3*#%!4%#*$!4%)%!%2#$&$&3#!&$!2%!,<5%#%!&$!,35E+)*-.(!>!%!*#%6C)!&$!$22%!43#!+(3)!
8-(3)!%9+7$#3)!4%#%!$(8#-%#!$2!5$*%2!(-?+$2%&3!&$!2%!5-)5%:!e3(!$223!%2%#9%53)!)+!6-&%:!!
!
>C?*#*$80$9"?:214/;-$42:2B*#=$
!
A%!,<5%#%!&$!,35E+)*-.(!$)*+&-%&%!%(*$#-3#5$(*$!*-$($!83#5%!*+E+2%#!>!$)!2%!?+$!-(-,-%25$(*$!)$!
+*-2-D.:!;-!%P%&-53)!5+,B%)!,<5%#%)!*+E+2%#$)!%2#$&$&3#!&$2!$7$!&$2!53*3#!3E*$(&#$53)!C)*3:!Y+$!
)3(!2%)!,<5%#%)!&$!,35E+)*-.(!&$!23)!53*3#$)!,2<)-,3):!!
!
!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!0Z!
$
!
>C?*#*$80$9"?:214/;-$*-2B*#=$
!
e3(!2%)!5$73#%)!$(!-(9$(-$#=%!)$!&-)$P%#3(!,<5%#%)!&$!,35E+)*-.(!%(+2%#$)!?+$!(3!$#%(!5%)!?+$!
+(%!)32%!,<5%#%!$(!83#5%!&$!,-#,+(8$#$(,-%:!e3(!$223!)$!5$73#%E%!2%!$8-,-$(,-%!&$2!53*3#!>!#$?+$#=%(!
5$(3)!$)4%,-3:!I)*$!$)!$2!*=43!&$!,<5%#%!&$!23)!53*3#$)!%,*+%2$):!!
!
90!$(%.*#0,!
!
!
A%!)-9+-$(*$!$*%4%!43#!2%!?+$!4%)%(!23)!9%)$)!,%2-$(*$)!$)!2%!*+#E-(%:!e35+(5$(*$!)$!22%5%!*+#E-(%!%!
*3&3!23!?+$!9-#%!$(!+(!#$%,*3#:!S$#3!B%>!?+$!&$7%#!,2%#3!?+$!#$%25$(*$!2%!*+#E-(%!$)!;UAU!$)*%!4%#*$!
?+$!$)*<!&$)4+C)!&$!2%!,<5%#%!&$!,35E+)*-.(!>!?+$!*-$($!+(%!&3E2$!8+(,-.(:!e3(6$#*-#!2%!4#$)-.(!
$)*<*-,%!&$2!9%)!?+$!)%2$!$(!&-(<5-,%!3!2%!$($#9=%!43*$(,-%2!$(!,-(C*-,%!>H!43#!3*#3!2%&3!-54+2)%#!$2!$7$!
&$2!53*3#!%!#$%,,-.(!?+$!536$#<!$2!,354#$)3#!>!4$#5-*-#<!2%!22$9%&%!&$!5<)!%-#$!,354#-5-&3!%!2%!
,<5%#%!&$!,35E+)*-.(:!!
S3&$53)!&$,-#!$(*3(,$)!?+$!2%!*+#E-(%!$)!$2!4%)3!-(6$#)3!&$2!*#%E%73!?+$!B%,$!$2!,354#$)3#:!!
!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!0W!
!
!
S$#3!%!&-8$#$(,-%!&$2!,354#$)3#!2%!*+#E-(%!*-$($!?+$!B%,$#!8#$(*$!%!9%)$)!$[*#$5%&%5$(*$!,%2-$(*$):!
A3)!9%)$)!&$!2%!,<5%#%!&$!,35E+)*-.(!)+$2$(!)%2-#!&$!2%!,<5%#%!&$!,35E+)*-.(!%!+(3)!0VbbtH!$(!)+!
,%5-(3!!>!,3(!$2!$(8#-%5-$(*3!&$!23)!9%)$)!?+$!E>4%)$%(!2%!,<5%#%!&$!,35E+)*-.(!%(*$)!
5$(,-3(%&3)!2%!*$54$#%*+#%!&$),-$(&$!#<4-&%5$(*$!4$#3!22$9%!%!2%!*+#E-(%!%!+(%!*$54$#%*+#%!&$!
$(*#$!Zbb!>!JVbte:!1$4$(&-$(&3!&$!$2!#C9-5$(!&$!53*3#!?+$!22$6$53)!$(!$)$!535$(*3:!
!
`(%!%2$%,-.(!&$!%,$#3!>!(-?+$2!4+$&$!%9+%(*%#!$)*%)!*$54$#%*+#%)!4$#3!)+7$*3!%!+(!&$)9%)*$!$(!$2!
*-$543!2-5-*%&3:!]!%?+=!$)*<!2%!9#%(!2-5-*%,-.(!&$!23)!#$%,*3#$):!"!5%>3#!*$54$#%*+#%!&$!)%2-&%!&$!
9%)$)!5%>3#!&$)9%)*$!>!5$(3#!)$#<!2%!6-&%!&$2!53*3#:!S3&#=%53)!-(,2+)3!$)*%#!4#363,%(&3!)+!8%223!
,%*%)*#.8-,3!$(!)$9+(&3)!)-!(3)!4%)%53)!&$!23)!2=5-*$):!I)!43#!$223!?+$!,353!4-23*3)H!%!4%#*-#!&$!
%B3#%H!,%&%!6$D!?+$!+)$53)!5<[-5%!43*$(,-%!*$(&#$53)!+(!373!$(!$2!-(&-,%&3#!&$!12342567856!92!
&6:;96!92!:<=!>6=2=!<!?)>1@!:!
!
A%!*+#E-(%!*#%()83#5%!2%!4#$)-.(!$)*<*-,%!%,$2$#%(&3!2%!,3##-$(*$:!"2!-9+%2!?+$!$2!,354#$)3#!$)*%!
,354+$)*%!43#!$*%4%):!]!,%&%!$*%4%!*-$($!+(!^$)*%*3#_!>!+(!^#3*3#_:!!!
!
!
!
!
!
I(!$)*%!8-9+#%!*$($53)!+(%!-5%9$(!&$!+(%!*+#E-(%!>!&$!2%!,<5%#%!&$!,35E+)*-.(!*+E+2%#!?+$!6%!%!
$),+4-#!$)$!%-#$!%!%2*%!6$23,-&%&!&$!6%#-3)!,-$(*3)!&$!9#%&3)!>!6%!%!$(,3(*#<#)$!,3(!23)!<2%E$)!
$)*<*-,3)!&$!2%!*+#E-(%:!!
!
!
!
!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!0X!
!
90!8&1$)&7.(1$*+#,!
!
r;$!4+$&$!5$73#%#!%+(!5<)!$2!$54+7$!&$)4+C)!&$!*3&3!23!?+$!B$53)!6-)*3s!S+$)!)=:!e353!B$53)!
&-,B3!B%>!+(!9#%(!,%+&%2!&$!%-#$!?+$!(3!)$!?+$5%!&+#%(*$!2%!,35E+)*-.(!>!)323!)$!+)%!4%#%!
#$8#-9$#%#!23)!5%*$#-%2$)!&$!2%!,<5%#%!&$!,35E+)*-.(:!S$#3!+(%!6$D!8+$#%!&$!2%)!4%#*$)!5.6-2$)!
43&#=%53)!%4#36$,B%#!*3&3!$)$!3[=9$(3!%+(!&-)43(-E2$!$!-(>$,*%#2$!,35E+)*-E2$!(+$6%5$(*$!4%#%!
?+$!)$!4#3&+D,%!+(%!)$9+(&%!,35E+)*-.(:!!
!
!
!
A%!43)*,35E+)*-.(!$)!$[%,*%5$(*$!$)3:!`(3)!%#3)!5$*<2-,3)!#$42$*3)!&$!-(>$,*3#$)!&$!,35E+)*-E2$!
?+$!-(>$,*%(!,35E+)*-E2$!%!+(3)!9%)$)!5+>!,%2-$(*$)!,3(!9#%(&$)!,%(*-&%&$)!&$!3[=9$(3!?+$!
6+$26$(!%!4#3&+,-#!+(%!22%5%!?+$!$[4%(&$!%+(!5<)!23)!9%)$)!)%2-$(*$)!>!43#!*%(*3!%+5$(*%(!$2!
$54+7$!)-9(-8-,%*-6%5$(*$:!S$#3!*3&3!$)*3!*-$($!+(!,3)*$:!F#%(&$)!&3)-)!&$!3[=9$(3!#$?+-$#$(!
9#%(&$)!,%(*-&%&$)!&$!,35E+)*-E2$!4%#%!?+$!2%!,35E+)*-.(!)$%!4$#8$,*%!i#$,3#&%#!$2!0nXj:!!]!43#!$)3!
$)*$!)-)*$5%!%+5$(*%!&#%5<*,%5$(*$!$2!,3()+53!&$!8+$2:!I(!%29+(3)!,%D%)!$2!+)3!&$!42$(%!
43)*,35E+)*-.(!(3)!&$7%!+(%!%+*3(35=%!&$!%4$(%)!5-(+*3):!!
!
S$#3!$)!+(%!9#%(!%>+&%!$(!&$)4$9+$)!%!42$(%!,%#9%!3!4%#%!4%)%#!&$!6+$23!*#%().(-,3!%!)+4$#).(-,3!
>%!?+$!,353!!6-53)!$(!$2!,%4=*+23!&$!%$#3&-(<5-,%!)$!#$?+-$#$!+(%!9#%(!,%(*-&%&!&$!$($#9=%!4%#%!
)+4$#%#!G%,B!0:b:!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!0J!
!
I(!$)*%!-2+)*#%,-.(!*$($53)!23)!%(-223)!?+$!-(>$,*%(!$2!,35E+)*-E2$!%!23)!9%)$)!?+$!)%2$(!&$!2%!
*+#E-(%:!I(!$)*$!,%)3H!*$($53)!+(!7+$93!&$!&3)!%(-223)!,3(,C(*#-,3)!)-5-2%#!%2!?+$!$?+-4%!%2!53*3#!&$2!
G-9K0!c-):!f#%)!$)*3)!%(-223)!(3!B%>!4%#*$)!5.6-2$)!43#!23!?+$!>%!(3!B%E#<!2-5-*%,-3($)!$(!2%!
*$54$#%*+#%!&$!)%2-&%!&$!23)!9%)$)!>!43#!*%(*3!)$!4+$&$!4#3&+,-#!+(%!9#%(!22%5%#%&%!)-(!4#3E2C5%)!
5$,<(-,3):!!
!
I2!*+E3!&$2!53*3#!)$!%2%#9%!+(3)!5$*#3)!B%)*%!2%!*3E$#%!,3(!$)*$!*-43!&$!)-)*$5%!,353!)$!4+$&$!
%4#$,-%#!$(!$)*$!53*3#!LRbR/FIRbb!&$2!Ln"/0X:!
90!$&./%0,!
!
!
A%!*3E$#%!(3!$)!5<)!?+$!+(!&-)43)-*-63!?+$!2$!&%!$2!*3?+$!8-(%2!%!23)!9%)$)!&$!)%2-&%!4%#%!?+$!)+!
4#$)-.(!$)*<*-,%!)$!,3(6-$#*%!$(!6$23,-&%&!&$!2%!5%($#%!5<)!$8-,-$(*$!43)-E2$:!;-9+-$(&3!23)!5-)53)!
4#-(,-4-3)!%$#3&-(<5-,3)H!$(!+(!53*3#!?+$!%,$2$#%!43,3!+(!9#%(!,%+&%2!&$!%-#$H!,353!$)!$2!,%)3!&$!
23)!*+#E38%()H!)$#<!+(%!*3E$#%!,3(6$#9$(*$:!;-(!$5E%#93!)-!$2!82+73!&$!%-#$!?+$!)%2$!&$2!53*3#!$)!
%,$2$#%&3!%!9#%(&$)!6$23,-&%&$)!?+$!)+4$#%(!5%,B!0!&$E$#<(!)$#!23!,3(*#%#-3:!1-6$#9$(*$):!I)!43#!
$)3!?+$!23)!,%D%)!>!%6-3($)!)+4$#).(-,3)!*-$($(!*3E$#%)!&$!)$,,-.(!6%#-%E2$:!"!E%73)!#$9=5$($)!&$!
53*3#!)$!43($(!&$!83#5%!,3(6$#9$(*$!>!%!%2*%!43*$(,-%!,3(!43)*,35E+)*-.(!)$!%E#$(!4%#%!,323,%#)$!
&$!83#5%!&-6$#9$(*$:!!
!
!
!
!"#$%&'()$(*"'(+","%$'(!-./()$*(-0123(4&(56785$%)&(9&(&)":,&)"(*&(;"%+&(<"=>$%?$=,$(:&%&(#&@"'(%$?A+$=$'()$(+","%(<"=(?&'$'(
78$('&*$=(&(>$*"<5)&)('8#'B=5<&3(4&()$%$<9&(9&(&)":,&)"(*&(;"%+&()5>$%?$=,$C(:&%&(*&(:"',<"+#8',5B=()"=)$(*"'(?&'$'(&'&*$=(&(
&*,&'(>$*"<5)&)$'($=(%D?5+$=(,%&='B=5<"E'8:$%'B=5<"3(
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!Kb!
!
;8/%0)*+#!#&%703,!
!
A%!34$#%,-.(!(3#5%2!&$!+(!#$%,*3#!&-8-$#$!+(!43,3!&$!23)!53*3#$)!%!4-)*.(:!l%53)!%!#$6-)%#!
-(-,-%25$(*$!23)!-(&-,%&3#$)!?+$!*$($53)!$(!,%E-(%H!,353!)$!%##%(,%!+(!53*3#!%!#$%,,-.(H!,353!)$!
34$#%!$(!&$)4$9+$!8%)$)!&$!6+$23!&$!i%),$()3H!,#+,$#3!>!&$),$()3j!>!8-(%25$(*$!$(!$2!%*$##-D%7$:!!
!
D-14#2?0-4"1$80$?"4"#E$
!
A3)!-()*#+5$(*3)!&$!53*3#!(3)!&%#<(!23)!4%#<5$*#3)!($,$)%#-3)!4%#%!)%E$#!)-!$2!8+(,-3(%5-$(*3!&$!
C)*$!$)!,3##$,*3!>!?+C!$54+7$!(3)!$)*<!&%(&3:!I)*3)!4%#<5$*#3)!)$#<(\!OSG!&$2!8%(!3!%-#$!
)$,+(&%#-3!i@0jH!OSG!&$2!(+,2$3!3!%-#$!4#-5%#-3!i@KjH!f$54$#%*+#%!&$!23)!9%)$)!&$!)%2-&%!iIFf!3!'ffjH!
>!8-(%25$(*$!$2!82+73)!&$!,3()+53!&$!,35E+)*-E2$!43#!B3#%!3!8+$2!823h!iLLj:!
!
!
(A+!92:!2B2!92:!6;52!=2C8D965;<!EAF!G-/H!$*-H!?I@!2D!:<=!6J;<D2=!58=<=K!
!
I)*$!)+$2$!)$#!$2!-(&-,%&3#!4#-(,-4%2!&$!$54+7$!$(!23)!#$%,*3#$)!&$!%2*3!=(&-,$!&$!&$#-6%,-.(:!
;3E#$*3&3!$(!23)!*+#E38%($)!>%!?+$!$2!8%(!$)!$2!?+$!9$($#%!2%!5%>3#!4%#*$!&$2!$54+7$:!;-(!$5E%#93!>!
,353!,35$(*<E%53)!%(*$)!%29+(3)!%6-3($)!,353!$(!$2!,%)3!&$2!"0b!+)%53)!$2!3*#3!-(&-,%&3#!&$!
OSG!4%#%!$)*3)!$8$,*3):!!
I)*%!-(&-,%,-.(!)$!22%5%!@0!3!L"@!,353!$(!$2!,%)3!&$2!"0bH!3!^K_!,353!$(!$2!,%)3!&$2!AQJ!"2E%*#3)!3!
$2!G-9!K0:!!
!
;+)!OSGu)!$)*<(!)-$54#$!43#!&$E%73!&$!2%)!&$2!$7$!&$!%-#$!4#-5%#-3H!(+,2$3!3!@K:!I)*3!$)!43#?+$!2%!
5%>3#!4%#*$!&$2!*#%E%73!)$!$)*<!#$%2-D%(&3!,$#,%!&$!2%!,<5%#%!&$!,35E+)*-.(!>!$)$!$7$!$)!43#!*%(*3!$2!
?+$!9-#%!5<)!&$4#-)%:!!
@3!(3)!-(&-,%!#$632+,-3($)!43#!5-(+*3!%E)32+*%)!)-!(3!+(!43#,$(*%7$!&$2!#C9-5$(!5<[-53!&$!53*3#!
%2!?+$!&$E$!8+(,-3(%#!%!+(%!%2*+#%!&%&%:!S3#!*%(*3!6%!&$2!b!%2!0bbo!i$(!5+,B3)!53*3#$)!)$!4+$&$!
)+4$#%#!$2!0bbo!2-9$#%5$(*$!$(!34$#%,-.(!(3#5%2j:!!I(!23)!,%D%)!#+)3)!,3(!43)*,35E+)*-.(H!,+%(&3!
)$!4%)%!&$2!0bbo!$)!43#?+$!)$!B%!)$2$,,-3(%&3!2%!43)*,35E+)*-.(:!I2!#%2$(*=!6%#=%!&$!+(!%6-.(!%!3*#3:!
I(!23)!*+#E38%($)!)+$2$!$)*%#!$(!$2!Kb/Qbo!5-$(*#%)!?+$!$(!23)!#$%,*3#$)!&$!E%73!=(&-,$!&$!&$#-6%,-.(!
i43,%!&-8$#$(,-%!&$!,%+&%2!$(*#$!%-#$!4#-5%#-3!>!)$,+(&%#-3j!#3(&%!$2!Vbo:!
!
!
(A+!92:!2B2!92!6;52!45;365;<!LAF!G-I!<!-8C:2<H!?/@!2D!:<=!6J;<D2=!58=<=K!
!
;+)!OSGu)!)3(!5<)!%2*%)!*-$(-$(&3!+(!#%2$(*=!&$!$(*#$!$2!Vbo!>!$2!Zbo!>H!%!$[,$4,-.(!&$!23)!%6-3($)!
5$(,-3(%&3)!,3(!53*3#$)!&$!E%7%!&$#-6%,-.(H!)$!53(-*3#-D%!)32%5$(*$!$(!&+#%(*$!2%!4+$)*%!$(!
5%#,B%:!!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!K0!
!
!
!
F=)5<&)"%()$(GHI()$*(+","%(.()$(#&@&()$%5>&<5B=()$(8=(!80J1C(>5',"($=($*(:&=$*()$*(+$<K=5<")$(>8$*"3(LB,$'$(*&'()"'(&?8@&'M(
4&(N0O(78$($'(*&()$*(&5%$(:%5+&%5"("()$(&*,&(:%$'5B=(NPHQO(<"+"('$()$="+5=&($=(*"'(&>5"=$'(%8'"'3(
4&(NRO($'(*&()$*(&5%$('$<8=)&%5"("()$(#&@&(:%$'5B=(N4HQO(78$('$(<"%%$':"=)$%A&(<"=($*(L0("<<5)$=,&3(
278A('$(8'&($*(PHQ(<"+"(+$)5)&()$($+:8@$(&*(,$=$%('8'(+","%$'(8=(#&@"(A=)5<$()$()$%5>&<5B=(S(:%")8<5%($',$(;*8@"(*&(+&S"%(:&%,$()$*((
$+:8@$3(
")=!4+$)H!&$4$(&-$(&3!&$2!*-43!&$2!53*3#!>!&$!)-!$2!%6-.(!$)!3,,-&$(*%2!3!(3H!(3)!9+-%#$53)!43#!+(3)!
4%#%5$*#3)!3!3*#3):!!
I(!$2!,%)3!&$2!AQJH!(3)!-(*$#$)%#<(!2%)!OSG!&$2!TSe!i^0_j!%2!)$#!)+!53*3#!&$!E%73!=(&-,$!&$!&$#-6%,-.(!
>!$2!%-#$!4#-5%#-3!$2!?+$!4#3&+,$!2%!5%>3#!4%#*$!&$2!$54+7$:!!
!
!
12342567856!92!=6:;96!92!M6=2=!G)>1!<!#11K!
!
Y+-D<)!$2!4%#<5$*#3!5<)!-543#*%(*$!&$!*3&3)!>%!?+$!-(&-,%!2%!6-&%!&$2!53*3#:!;3E#$4%)%#!$)*%!
*$54$#%*+#%!&$!2=5-*$)!#$)+2*%!$(!+(!8%223!,%*%)*#.8-,3!&$!2%!*+#E-(%:!A%!IFf!)$!5-&$!$(!$2!$)*<*3#!&$!
2%!4#-5$#%!$*%4%!&$!2%!*+#E-(%:!a+)*3!&$)4+C)!&$!2%!,<5%#%!&$!,35E+)*-.(:!G-$(*#%)!?+$!2%!'ff!)$!
*35%!$(!$*%4%)!5$&-%)!&$!2%!*+#E-(%:!;+$2$(!*$($#!6%23#$)!5<[-53)!&$!$(*#$!Wbb!%!Jbb!>!4-,3!
&$4$(&-$(&3!&$2!53&$23!&$!53*3#:!;$!53(-*3#-D%!&+#%(*$!*3&3!$2!6+$23!>!$)4$,-%25$(*$!&+#%(*$!$2!
&$)4$9+$!>!$2!%##%(?+$!&$2!53*3#!>%!?+$!$)!,+%(&3!5<)!)$()-E2$!$)!%!?+$!$)*%!)+4$#$!23)!2=5-*$):!!
!
I(!$2!AQJ!%2E%*#3)H!%&$5<)!$[-)*$!+(!)-)*$5%!&$!4%#%&%!&$!53*3#!%+*35<*-,3!4%#%!-54$&-#!?+$!)$!
&%P$!C)*$!,+%(&3!)$!)+4$#%!2%!IFf!5<[-5%!&$!WQbte:!;+4$#%#2%!)+43(&#=%!+(!8%223!,%*%)*#.8-,3!43#!23!
?+$!23)!&-)$P%&3#$)!,B$,3)!34*%#3(!43#!?+$!)$!%4%9%#%!)323!4%#%!$6-*%#23:!;-$54#$!)$!43&#<!-(*$(*%#!
+(!#$%##%(?+$!$(!6+$23!)-!B%>!)+8-,-$(*$!^$($#9=%!4%#%!$223_:!I)*3!)323!%,$(*g%!2%!-543#*%(,-%!&$!
53(-*3#-D%#!2%!*$54$#%*+#%!&$!23)!53*3#$)!$(!2%)!8%)$)!,#=*-,%)!&$!%##%(?+$!>!&$)4$9+$:!!
!
$:8B<!92!C<D=83<!92!C<3N8=7;N:2!G$$K!
!
@3)!&-,$!,+%(*3!,35E+)*-E2$!$)*<!?+$5%(&3!$2!53*3#!43#!B3#%:!I)3!(3)!&%!+(%!-&$%!&$2!,3()+53H!>!
)%E-$(&3!$2!,35E+)*-E2$!?+$!*$($53)!%!E3#&3!43&$53)!,%2,+2%#!8%,-25$(*$!(+$)*#%!%+*3(35=%:!S$#3!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!KK!
!
*%5E-C(!$)!-543#*%(*$!53(-*3#-D%#23!&+#%(*$!$2!%##%(?+$!43#!)-!B+E-$#%!4#3E2$5%)!,3(!2%!-(>$,,-.(!
&$!,35E+)*-E2$!!
!
A52=;OD!92!C<3N8=7;N:2P!!
!
I(!%29+(3)!%6-3($)!)$!+*-2-D%!$)*$!4%#<5$*#3!,3(!$2!5-)53!4#34=)-*3!?+$!$2!LL:!"+(?+$!(3!(3)!&%#<!
+(%!-&$%!$[%,*%!&$!23)!v9!&$!,35E+)*-E2$!?+$!?+$5%53):!!
!
12342567856!Q!452=;OD!92!6C2;72P!
!
I)*3)!&3)!-(&-,%&3#$)!(3)!&%#<(!+(%!-&$%!&$!2%!)%2+&!&$2!53*3#:!`(%!4#$)-.(!E%7%!&$!%,$-*$!>n3!+(%!
*$54$#%*+#%!%2*%!&$!%,$-*$!(3)!4+$&$(!$)*%#!%&6-#-*$(&3!&$!+(!8%223!-(5-($(*$!$(!$2!53*3#:!")=!?+$!
$)!+(3!&$!23)!4%#<5$*#3)!?+$!6%53)!%!53(-*3#-D%#!*%5E-C(!&+#%(*$!$2!&$)4$9+$!>!2%)!8%)$)!,#=*-,%)!
&$2!6+$23:!
!
!
H&=$*()$(*"'(5=)5<&)"%$'()$*(+","%()$*(T&U1/3(LB,$'$(*"'(,%$'(5=)5<&)"%$'(,%A:*$'()$(*"'(+","%$'(&#&@"3(
H%$'5B=()$(<"+#8',5#*$(V'8:$%5"%WC(:%$'5B=()$(&<$5,$(V56785$%)"WC(,$+:$%&,8%&()$(&<$5,$(V)$%$<9"W3((
!
'##*-F20$80B$?"4"#E$
!
S%#%!%##%(,%#!+(!#$%,*3#!($,$)-*%#$53)!?+$!22$9+$!%-#$!%!2%!,<5%#%!&$!,35E+)*-.(H!?+$!8+(,-3($!2%!
-9(-,-.(!i2%!,B-)4%j!>!8-(%25$(*$!%E#-#!2%!22%6$!&$!,35E+)*-E2$!4%#%!-(>$,*%#23!$!-(-,-%#!2%!,35E+)*-3(!
?+$!-(-,-%#<!*3&3!$2!,-,23!&$!8+(,-3(%5-$(*3:!Y+-D<)!23!5<)!,3542-,%&3!$)!,3()$9+-#!?+$!22$9+$!$)$!
%-#$!,354#-5-&3!%!2%!,<5%#%!&$!,35E+)*-.(:!re.53!23!43&#=%53)!,3()$9+-#s!!A3!5<)!8%,-2!)$#=%!B%,$#!
?+$!$2!$7$!&$2!(+,2$3!i@Kj!9-#$!>!5+$6%!%2!,354#$)3#!4%#%!?+$!-(>$,*$!%-#$!,354#-5-&3!%!2%!,<5%#%!
&$!,35E+)*-.(!>!%!2%!6$D!$)$!5-)53!82+73!&$!%-#$!?+$!$(*#%!&$2!$[*$#-3#!5+$6%!$2!8%(!3!@0:!I)*3!)$!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!KQ!
!
,3()-9+$!$(!53*3#$)!4$?+$P3)!,3(!+(!53*3#!&$!%##%(?+$!$2C,*#-,3!,353!$)!$2!,%)3!&$!%29+(3)!E-D!
7$*):!S$#3!,+%(&3!$2!53*3#!>%!*-$($!&$*$#5-(%&3!*%5%P3!)$!($,$,$)-*%!3*#3!*-43!&$!-54+2)-.(:!I(!
$)*$!,%)3!)$!+)%!+(!53*3#!($+5<*-,3:!`(%!*+#E-(%!5+$6$!+(!$7$!,3($,*%&3!%2!$7$!&$!%-#$!4#-5%#-3:!]!
2%!4#$9+(*%!)$#<H!r]!?+$!5+$6$!2%!*+#E-(%!&$2!53*3#!&$!%##%(?+$s!S+$)!$2!%-#$!?+$!)$!)%(9#%!&$2!"S`!
3!&$!+(!,354#$)3#!$[*$#(3!,+%(&3!$2!%6-.(!(3!&-)43(9%!&$!"S`:!O$,3#&$53)!?+$!$2!"S`!$)!3*#3!
53*3#!%!#$%,,-.(:!G<)!4$#?+$P3H!&3*%&3!&$!+(!,354#$)3#!,$(*#=8+93!i43#!23!&$!3,+4%#!43,3!
$)4%,-3jH!?+$!43#!)+!*%5%P3!)$!%##%(,%!$2C,*#-,%5$(*$!>!?+$!)+!,354#$)3#H!%&$5<)!&$!%2-5$(*%#!%2!
4#34-3!53*3#!)%(9#%!4%#*$!&$!)+!%-#$!4%#%!&3*%#!%2!%6-.(!&$!%-#$!%,3(&-,-3(%&3!3!%##%(,%#!$2!53*3#:!!!!
!
"29+(3)!%6-3($)!#+)3)!$)*<(!&3*%&3)!&$!23!?+$!$223)!22%5%(!$2!^*+#E3)*%#*$#_:!@3!&$7%!&$!)$#!+(!
4$?+$P3!53*3#!4%#$,-&3!%2!"S`!?+$!)$!%##%(,%!>!)+5-(-)*#%!%-#$!&$!)%(9#%&3!g(-,%!>!$[,2+)-6%5$(*$!
4%#%!%##%(,%#!$2n23)!53*3#$)!>!?+$!+(%!6$D!B%!,3542$*%&3!)+!8+(,-3(!)$!%4%9%!%+*35<*-,%5$(*$:!
I)*$!$)!$2!,%)3!&$!2%!*+#E-(%!^;%4B-#$_!&$2!AQJ:!!
!
!
!
!
;$,+$(,-%!&$!%##%(?+$!&$!+(!53*3#!eLGVZ!$(!$2!WQW/Qbb!
!
!
G*-0H"$80B$?"4"#E$
!!
e353!6$#C-)!%!23!2%#93!&$2!,+#)3H!23)!53*3#$)!%!#$%,,-.(!8+(,-3(%(!,3(!E%)*%(*$!#$*#%)3!,3(!#$)4$,*3!
%!23)!53*3#$)!&$!4-)*.(:!f%#&%(!5<)!$(!#$%,,-3(%#:!1$!%B=!6-$($!$2!,3(,$4*3!&$!^;4332!+4!f-5$_!3!
*-$543!?+$!*%#&%!+(!#$%,*3#!$(!%,$2$#%#!&$)&$!#%2$(*=!%!43*$(,-%!5<[-5%:!I(!%29+(3)H!,353!$(!$2!
e0R0!;*%#2-8*$#!43&=%!22$6%#!+(3)!0X!2%#93)!)$9+(&3):!I(!$2!AQJ!"2E%*#3)!?+$!6%53)!%!4-23*%#!
*$(&#$53)!+(!^;4332!+4!f-5$_!&$!0b!)$9+(&3):!`(!2%#93!*-$543!)-!$)*%53)!%!E%7%!%2*-*+&!>!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!KR!
!
#$?+$#-53)!5<[-5%!43*$(,-%!43#?+$!(3)!B$53)!?+$&%&3!)-(!6$23,-&%&!3!43#?+$!B%>!?+$!)%26%#!+(!
3E)*<,+23:!!I)!43#!$223!?+$!2%!8-23)38=%!?+$!6%53)!%!+*-2-D%#!%!4%#*-#!&$!%B3#%!6%!%!)$#\!!
!
NH5*",&%O($*(+","%(:%5+$%"(S(*8$?"(:5*",&%($*(&>5B=3((
!
l%!%!)$#!5+>!-543#*%(*$!%&5-(-)*#%#!E-$(!(+$)*#%!43*$(,-%!$(!,%&%!8%)$!&$!6+$23!>!$)4$,-%25$(*$!
&+#%(*$!2%!%4#3[-5%,-.(!>!%*$##-D%7$!$(!2%!?+$!22$6%#$53)!)-$54#$!23)!53*3#$)!^$(9%(,B%&3)_!
i#$632+,-3(%&3)j!4%#%!3E*$($#!+(%!#$)4+$)*%!23!5<)!#<4-&%!43)-E2$!$(!,%)3!&$!($,$)-*%#2%:!I)*3!$)!
43#?+$!2%!6$23,-&%&!&$!#$)4+$)*%!(3!$)!2-($%2!%!2%)!#$632+,-3($)!?+$!22$6$53):!f%#&%!5+,B3!5<)!$(!
%,$2$#%#!,+%(&3!$2!53*3#!$)*<!,$#,%!&$2!#%2$(*=!?+$!,+%(&3!$)*<!%!%2!Xbo:!S3#!$223!22$6%#$53)!$(!
$)*%)!8%)$)!,#=*-,%)!$2!53*3#!#$632+,-3(%&3!>!(3!23!&$7%#$53)!,%$#!E%73!(-(9g(!,3(,$4*3:!!
!
!
1$)4$9+$!&$!+(!cWWW:!!
(
N-5@&"'($=($*(,5$+:"(78$(,&%)&=(*"'(+","%$'($=(&<$*$%&%()$(%&*$=,A(&(*&(:"'5<5B=()$*(1/X()$(4HQ3(Y*(<"+&=)&=,$(+&=,5$=$(*&(:&*&=<&(
)$(?&'$'($=($'&(:"'5<5B=(9&',&(78$(*"'(+","%$'(&*<&=6&=($*(1/X(S(;5=&*+$=,$(*&'(+8$>$(9&',&(:",$=<5&()$()$':$?8$3(Y*(,5$+:"(78$(
,&%)&(9&',&($*(1/X($'(*5?$%&+$=,$(+&S"%(78$()$*(1/X(&($+:8@$()$()$':$?8$3(2(:$'&%()$('$%(8=(+","%(+8S(&>&=6&)"C($*(ZY[/(,5$=$(
8=(':""*(8:(,5+$()$(\]^('$?8=)"'3O(((
!
!
!
S%#%!$6-*%#!?+$!$2!4#34-3!%6-.(!)$!%,$2$#$!5<)!&$!23!&$)$%E2$H!%29+(3)!%6-3($)H!+)%(!23)!%$#38#$(3)!
&+#%(*$!2%!%4#3[-5%,-.(:!A%!#%D.(!$)!)-542$:!I(!,%)3!&$!($,$)-*%#!43*$(,-%!5<[-5%!4%#%!-#)$!%2!%-#$H!
)$!*%#&%!)323!+(!)$9+(&3!$(!#$,39$#!23)!%$#38#$(3)H!5-$(*#%)!?+$!23)!53*3#$)!*%#&%#=%(!6%#-3)!2%#93)!
)$9+(&3)!)-!23)!22$6%53)!,$#,%!&$2!#%2$(*=:!"&$5<)!%2!22$6%#!$2!%$#38#$(3!>!4#3&+,-#!+(%!#$)-)*$(,-%!
%$#3&-<5-,%!$[*#%H!$2!53*3#!($,$)-*%!$)*%#!E-$(!#$632+,-3(%&3!4%#%!5%(*$($#!2%!6$23,-&%&:!]!43#!
*%(*3!$)*%#$53)!5+>!,$#,%!&$!2%!43*$(,-%!5%[-5%:!!
!!!
U*#3!8%,*3#!-543#*%(*$!6%!%!)$#!2%!53(-*3#-D%,-.(!,3()*%(*$!&$!2%!IFf:!I)4$,-%25$(*$!,+%(&3!2$!
4-&%53)!%2*%)!OSG!>!$)*$53)!%!E%7%!%2*-*+&!&3(&$!B%,$!5<)!,%23#:!"!%2*3)!(-6$2$)!,3(!*$54$#%*+#%)!
&$!6%#-%)!&$,$(%)!&$!9#%&3)!43#!&$E%73!&$!,$#3H!2%!IFf!$)!5$(3)!4#3E%E2$!?+$!%2,%(,$!23)!2=5-*$)!&$2!
53*3#:!"&$5<)H!43#!*3&3!%?+$223!?+$!B%E2<E%53)!&$!23)!&-8+)3#$)!&$!%&5-)-.(H!2%!,354#$)-.(!$(!23)!
#$%,*3#$)H!>!43#!*%(*3!)+!$54+7$H!!5$73#%!,+%(&3!6+$2%(!5<)!#<4-&3:!I)*3!23!43&#C-)!,354#3E%#!$(!$2!
AQJ!%!2%!4$#8$,,-.(:!!
!
e353!43&C-)!6$#!23)!53*3#$)!%!#$%,,-.(!$)*<(!B$,B3)!4%#%!632%#!%2*3!>!#<4-&3:!!
I"$10$B"$8/.C/1$*$B*$0192*8#/BB*$80$?"B/-/BB"1J$
!
!*#*8*$80B$?"4"#E$
!
!`(%!6$D!$)*<!+(!53*3#!%!#$%,,-.(!$(!5%#,B%!43&#=%!8+(,-3(%#!%+*.(35%5$(*$!&$!5%($#%!
-(&$8-(-&%!)-!*+6-$#%!,35E+)*-E2$!4%#%!$223:!@3!B%,$!8%2*%!*$($#!+(%!,B-)4%!&$!+(%!E+7=%!,353!$(!23)!
,3,B$):!S%#%!4%#%#23!)-542$5$(*$!*$(&#$53)!?+$!,3#*%#!$)$!,35E+)*-E2$:!
!
!
<*'/&1!1&.%/!/3!4(#)*&#07*/#$&!/#!&8/%0)*+#!#&%703!
!
L+(,-3(%5-$(*3!&$!+(!#$%,*3#!&$!,354#$)3#!,$(*#=8+93:!!
L+(,-3(%5-$(*3!&$!+(!*+#E38%(!eLGVZ!
L+(,-3(%5-$(*3!&$!#$%,*3#$)!
!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!KV!
!
;8/%0)*+#!#&!#&%703!
!
I(!$)*$!%4%#*%&3H!6%53)!%!6$#!23)!4#3E2$5%)!5<)!*=4-,3)!?+$!(3)!43&#$53)!$(,3(*#%#!$(!+(!#$%,*3#!
>!,.53!,35E%*-#23):!
$
$
K*BB"$80$?"4"#E$
!
"!4$)%#!?+$H!,353!B$53)!&-,B3H!+(!!53*3#!43&#=%!8+(,-3(%#!-(&$8-(-&%5$(*$H!43&#=%!8%22%#!,353!
*3&%!5<?+-(%:!`(!8%223!&$!53*3#!)$!4+$&$!&$E$#!%!+(!%4%9%&3!&$!22%5%!3!%!+(!8<223!,%*%)*#.8-,3!&$!
)+!$)*#+,*+#%:!!
!
I(!$2!4#-5$#!,%)3H!4+$&$!&$E$#)$!43#!$7$5423!%!2%!-(9$)*-.(!&$!%9+%H!%!*+#E+2$(,-%!5+>!)$6$#%H!3!%!23!
5<)!,35g(!>!23!g(-,3!&$!2%)!*#$)!34,-3($)!?+$!$)*<!53&$2%&%!$(!$2!)-5+2%&3#H!!?+$!)$!(3)!%,%E$!$2!
,35E+)*-E2$:!S%#%!$)*%!g2*-5%!2%!42%(-8-,%,-.(!$)!8+(&%5$(*%2:!!
!
I(!,+%2?+-$#!,%)3H!23!4#-5$#3!$)\!!
/!R'E*(!)E!*R#,-P!G%(*$($#!#+5E3!>!6$23,-&%&!!
/!c+),%#!+(!,%543!4%#%!%*$##-D%#:!
/!1-#-9-#)$!B%,-%!C2:!
/!'(*$(*%#!+(!#$%##%(?+$:!
!
;-!$2!8%223!$)!43#!+(%!#3*+#%!,%*%)*#.8-,%!&$2!53*3#H!E-$(!43#!8%*-9%!&$2!5$*%2!i&$5%)-%&%!IFfjH!E-$(!
43#!?+$!(3)!B%(!%2,%(D%&3!,3(!+(!5-)-2!3!4#3>$,*-2$)H!-'!#-1)-1*()+'&!)E!()*((*-S%)P!!
/!;-!632%53)!+(!53(353*3#!>!43#!&$E%73!&$!2%!%2*-*+&!&-,*%&%!43#!(+$)*#3!-()*#+,*3#!n!2-&$#!&$!6+$23!>!
)-(!43)-E-2-&%&$)!&$!22$9%#!%!+(!2+9%#!)$9+#3!&$!%*$##-D%7$H!(3)!$>$,*%#$53):!I)!-543#*%(*$!B%,$#23!%!
$)%!%2*-*+&!>!(3!5<)!*%#&$!43#!+(%!)-542$!#%D.(!&$!$(6326$(*$!&$2!%)-$(*3!$>$,*%E2$:!;-!$)*%53)!$(!
&$),$()3!>!(3)!$>$,*%53)!&$5%)-%&3!*%#&$H!-54%,*%#$53)!,3(*#%!$2!)+$23!%(*$)!&$!?+$!$2!
4%#%,%-&%)!(3)!,3()-9%!$)*%E-2-D%#!>!8#$(%#:!I)!%293!?+$!-(,2+-#$53)!$(!,%&%!E#-$8-(9:$
$
K20."$80$?"4"#E$
!
I2!8+$93!$)!*=4-,3!$(!23)!&$)4$9+$)!&3(&$!2%!IFf!%2,%(D%!%2*%)!*$54$#%*+#%)!>!$2!53*3#!$)*<!%2!2=5-*$!
&$!)+!%9+%(*$!$)*#+,*+#%2:!`(!8+$93!$(!+(!E-53*3#!43&#<!,35E%*-#)$!+)%(&3!$[*-(*3#$):!I(!+(!
53(353*3#!2%!g(-,%!34,-.(!$)!)%2*%#:!!
!
/!R'E*(!)E!*R#,-P!
/!e3#*%#!$2!,35E+)*-E2$:!
/!f-#%#!&$2!5%($#%2$)!,3#*%8+$93)!&$2!53*3#:!e3(!$)3!,3()$9+-53)!%-)2%#23!&$!,35E+)*-E2$H!B-&#<+2-,3!
>!$2C,*#-,3:!!
/!S+2)%#!$2!$[*-(*3#:!!
/!;-!$2!8+$93!(3!)$!%4%9%H!B%E#<!?+$!-#!4$()%(&3!$(!$>$,*%#)$:!
!
!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!KZ!
!
!
!
!
!
$
%-4#*8*$0-$<L#8/8*$80B$?"4"#$M&4*BBNE$
!
"2!-9+%2!?+$!3,+##$!,3(!2%)!%2%)H!23)!<2%E$)!&$2!53*3#!*%5E-C(!4+$&$(!$(*#<#!$(!4C#&-&%:!;-!43#!%29g(!
53*-63!i*+#E+2$(,-%H!-(9$)*-.(!&$!23)!9%)$)!&$!)%2-&%!&$!3*#3!%6-.(!,353!2$!4%).!%!^G%6$#-,M!$(!f34!
F+(_H!$*,:j!,+%2?+-$#!,3)%!?+$!%8$,*$!%!2%!-(,-&$(,-%!&$2!%-#$!$(!23)!<2%E$)!&$2!,354#$)3#!4+$&$!B%,$#!
?+$!$)*3)!)+4$#$(!$2!<(9+23!,#=*-,3!&$!%*?+$!>!C(*#$(!$(!4C#&-&%:!I2!#$)+2*%&3!$)!?+$!(3!)$#<(!
,%4%,$)!&$!,354#-5-#!%-#$!>!$54+7%#23!B%,-%!2%!,<5%#%!&$!,35E+)*-.(:!]!43#!*%(*3!2%!%2*%!4#$)-.(!&$!
9%)$)!?+$!$[-)*$!$(!2%!,<5%#%!&$!,35E+)*-.(!)%2&#<!B%,-%!2%!*3E$#%!4$#3!*%5E-P$(!B%,-%!$2!&-8+)3#!&$!
%&5-)-.(:!I)*$!8$(.5$(3!$)!,3(3,-&3!,353!^;+#9$_:!!]!)$!4%#$,$!%!$)*3\!
!
!
!
!
L-7%3)!?+$!23)!9%)$)!,%2-$(*$)!)%2$(!B%,-%!23)!&3)!2%&3):!S$#3!)%2$(!%)=!535$(*<($%5$(*$!B%)*%!?+$!
)$!B%!2-E$#%&3!2%!4#$)-.(!&$!2%!,<5%#%!&$!,35E+)*-.(:!;$9+-&%5$(*$!)-9+$!4#3&+,-C(&3)$!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!KW!
!
,35E+)*-.(!$(!2%!,<5%#%!B%)*%!?+$!6+$26$!%!B%E$#!)+8-,-$(*$!4#$)-.(!$(!2%!,<5%#%!&$!,35E+)*-.(!
,353!4%#%!?+$!)$!6+$26%!%!4#3&+,-#!$2!^;+#9$_H!>!%)=!-(&$8-(-&%5$(*$:!!
I2!#$)+2*%&3!$)!+(!)3(-&3!,%#%,*$#=)*-,3:!`(!^S```Gp:!S```Gp:S````G_!OSGu)!E%7%)!>!+(%!IFf!
?+$!)+E$!>!)+E$!4$2-9#3)%5$(*$!B%,-%!)+!2=5-*$!43#!8%2*%#2$!$)$!%-#$!&$2!,354#$)3#!?+$!#$8#-9$#%!2%!
*+#E-(%:!!
!
I)*$!$8$,*3H!(3!$)*<!)-5+2%&3!$(!(-(9+(!)-5+2%&3#!*3&%6=%!>!43#!*%(*3!(3)!?+$&%!+(!43,3!8+$#%!&$!
(+$)*#%)!43)-E-2-&%&$):!Y+-D%)!&$,-#!?+$!2%!5$73#!5%($#%!4%#%!)%2-#!&$!$)*%!)-*+%,-.(!$)!43($#!9%)$)!%!
#%2$(*=:!]!$)4$#%#!?+$!$2!53*3#!)$!#$,+4$#$:!
!
A%)!)32+,-3($)!?+$!B%(!34*%&3!23)!-(9$(-$#3)!4%#%!4#$6$(-#!$)*$!8$(.5$(3!)3(!&3):!A3)!<2%E$)!9+=%!
&$2!,354#$)3#!&$!<(9+23!6%#-%E2$!&$!5%($#%!?+$!#$&+,$(!$2!<(9+23!&$!%*%?+$!>!^#354$(!2%!
4C#&-&%_:!A%!3*#%!)32+,-.(!)3(!+(%)!6<26+2%)!&$!)%(9#%&3!$[*#%!?+$!)=542$5$(*$!2-E$#%(!4#$)-.(!$(!$2!
,354#$)3#!$!-54-&$(!?+$!)$!4#3&+D,%!$2!^)+#9$_:!!
!
l-&$3!&$2!w)+#9$w!$(!23)!53*3#$)!&$!+(!"QQb!
!
l-&$3!&$2!w)*%22w!&$!+(!S#%**!x!NB-*($>!L0bb!$(!+(!E%(,3!&$!4#+$E%)!
!
$
!
=&#)3(1*+#,!
$
e3(!$)*$!,%4=*+23!&$2!,+#)3!&$!#$%,*3#$)!B$53)!?+$#-&3!4#38+(&-D%#!+(!43,3!5<)!$(!$2!
8+(,-3(%5-$(*3!&$!+(!#$%,*3#!4%#%!%4#36$,B%#!5$73#!23)!(+$63)!53*3#$)!53&$2%&3)!$(!1e;/N!>!
?+$!,+$(*%(!,3(!53&$23)!-(83#5<*-,3)!5+,B3!5<)!%6%(D%&3):!1$!$)*%!5%($#%!$(*$(&$#$53)!5$73#!
)+!8+(,-3(%5-$(*3!>!2-5-*%,-3($):!!
!
I2!#$%,*3#!$)!+(%!42%(*%!53*#-D!5+>!%6%(D%&%!>!,%4%DH!4$#3!*%5E-C(!5+>!)$()-E2$!%!%2*%)!
*$54$#%*+#%)!>!2-5-*%&3!$(!2%!#$)-)*$(,-%!&$!5%*$#-%2$):!e3(!+(!E+$(!,3(3,-5-$(*3!&$!$223)!
43&#$53)!)%,%#2$!$2!5<[-53!4%#*-&3:!
!
;$!B%(!$(+5$#%&3!+(3)!4#3,$&-5-$(*3)!9$(C#-,3)!4%#%!2%!34$#%,-.(!(3#5%2!>!(3!(3#5%2:!S$#3!,%&%!
53*3#!4+$&$!)$#!+(!5+(&3!>!$)!-54#$),-(&-E2$!,3(3,$#!E-$(!(+$)*#%!5<?+-(%!%)=!,353!23)!
4#3,$&-5-$(*3)!&$2!8%E#-,%(*$:!!
!
!
!
I;"ya%DD!!!!!!!!!
!
"#$%!&$!'()*#+,,-.(!!!!!!!!!!w ww .CruzdeSanAndrés.com
!"#$%&'#()*+$'+,)()-'*+%+.'%//01#!!/!KX!
!