UNIVERSIDAD CENTRAL DEL ECUADOR FACULTAD DE INGENIERÍA, CIENCIAS FÍSICAS Y MATEMÁTICA INGENIERÍA CIVIL DEPARTAMENTO DE TOPOGRAFÍA INFORME DE PRÁCTICAS NOMBRE DEL ALUMNO: IPIALES IPIALES DIEGO ARMANDO ARMANDO PRÁCTICA Nº: 3 CURSO: SEMESTRE 2 PARALELO: PARALELO: 3 FECHA DE REALIZACIÓN: 28!"2"!# FECHA DE ENTREGA: "2!22"!# NOMBRE DE LA PRÁCTICA: LEVA LEVANTAMIENTO NTAMIENTO TOPOGRÁFICO POR EL METODO DEL RODEO CON TEODOLITO OB$ETIVOS: %)%(*-+.0 .)('&4-4.0 '& +/.0', ).(. //'5.( //'5.( . +.6% '/ /'5.&.7-'&% /'5.&.7-'&% 4' &. P%&'( '& )(*+-+. /.0 1+&-+.0 %)%(*-+.0 )%/-%&./ +'((.4. 4'/ '4--+-% 4' H-4(*/-+., 6-+.4% '& /. U&-5'(0-4.4 C'&(./ C'& (./ 4'/ E+.4%(9 H.//.( /%0 *&/%0, 4-0.&+-.0, (76%0 .;-70 4' &'0(% '(('&%9 D''(7-&.( '/ (.4% 4' )('+-0-<& 4'/ /'5.&.7-'&% P/.07.( /%0 +%&%+-7-'&%0 .4=-(-4%0 '& +/.0' 4' 7.&'(. +%(('+., )%( '&4' .&.( '>)'(-'&+-. '& '0' +.7)%9 INTRODUCCIÓN E/ )('0'&' -&%(7' +%&-'&' /.0 .+-5-4.4'0 .+-5-4.4'0 ('./-;.4.0 4(.&' /. )(*+-+. )(*+-+. 4' +.7)% 4' /. 7.'(-. 4' T%)%(.? T%)%(.?.. =' ' //'5.4. . +.6% '/ 4?. 28!"2"!#, /.0 +./'0 '(%& 4'0.((%//.4.0 (.+-.0 ./ (.6.@% '0'(;% 4' %4%0 /%0 7-'76(%0 7-'76(%0 4'/ '=-)% '=-)% 4' )(*+-+. )(*+-+. ! 4'/ ).(./'/% ).(./'/% 3 4'/ 0'&4% 0'&4% 0'7'0(' 0'7'0(' 4' /. +.(('(. +.(('(. 4' I&'&-'(? I&'&-'(?.. C-5-/ ./ 4').(.7'&% 4' T%)%(.?. T%)%(.?. =-'& &%0 .+-/-< /%0 7.'(-./'0 '=-)%0 &'+'0.(-%0 ).(. 0 ('./-;.+-<&9 E/ (.6.@% (.6.@% ' ('./-;.4% ('./-;.4% '/ 4?. 4?. 5-'(&'0 28 28 4' O+6(' O+6(' 4'/ )('0'&' )('0'&' '& & -'7)% -'7)% 4' 2 %(.0, '0.6/'+ '0.6/'+-4% -4% )%( '/ +.'4(*-+% 4'0-&.4% . &'0(% ).(./'/%, '& '/ +./ ('./-;.7%0 & LEVANTAMIENTO TOPOGRAFICO POR EL METODO DEL RODEO CON TEODOLITO, '& /. U&-5'(0-4.4 C'&(./ 4'/ E+.4%(, %7.&4% '& +'&. /%0 4-0-&%0 )&%0 4' /. )%/-%&./ 4'/ '(('&% . '5./.(0'9 E/ 0% 4' )%/-%&./'0 '0 &% 4' /%0 )(%+'4-7-'&%0 %)%(*-+%0 7*0 +%7&'09 S' 0.& '&'(./7'&' ).(. '0.6/'+'( )&%0 4' +%&(%/ )&%0 4' .)%% ).(. '/ /'5.&.7-'&% 4' 4'.//'0 '/.6%(.+-<& 4' )/.&%0, ).(. '/ (')/.&'% 4' )(%'+%0 ).(. '/ +%&(%/ 4' '@'++-<& 4' %6(.09 U&. )%/-%&./ '0 &. 0+'0-<& 4' /?&'.0 ='6(.4.0, +%&'+.4.0 '&(' 0? '& /%0 51(-+'09 P.(. 4''(7-&.( /. )%0-+-<& 4' /%0 51(-+'0 4' &. )%/-%&./ '& & 0-0'7. 4' +%%(4'&.4.0 ('+.&/.('0 )/.&.0, '0 &'+'0.(-% 7'4-( '/ *&/% %(-;%&./ '& +.4. &% 4' /%0 51(-+'0 /. 4-0.&+-. %(-;%&./ '&(' 51(-+'0 +%&0'+-5%09
1
E/ 71%4% 4' P%/-%&.+-<& +%&0-0' '& '/ /'5.&.7-'&% 4' &. )%/-%&./9 U&. )%/-%&./ '0 &. /?&'. ='6(.4., +%&0--4. )%( 51(-+'0 '0.+-%&'0 % 4'/.0 /.4%0 =' &'& 4-+%0 51(-+'09 L%0 51(-+'0 .4.+'&'0 4'6'& 0'( 5-0-6/'09 E/ /'5.&.7-'&% 4' /. )%/-%&./ +%7)('&4' /. 7'4-+-<& 4' /%0 *&/%0 =' %(7.& /.0 4-('++-%&'0 4' /%0 /.4%0 .4.+'&'0 /.0 4-0.&+-.0 '&(' /%0 51(-+'09 U&. )%/-%&./ +'((.4. -'&' +%&(%/'0 .&/.('0 /-&'./'0 )%( /% .&% /%0 '((%('0 4' /.0 7'4-+-%&'0 )'4'& +%(('-(0' % +%7)'&0.(0'9 E& &. )%/-%&./ +'((.4. ./ .+'( '/ ('+%((-4% ('('0.( ./ 7-07% )&% /.0 +%%(4'&.4.0 4' /. )(-7'( '0.+-<& 0%& /.0 7-07.0 =' /.0 4' /. /-7., '&%&+'0 /. 07. ./'6(.-+. 4' /.0 )(%'++-%&'0 '& 0'&-4% &%(' 4'6' 0'( -./ . +'(% /. 07. ./'6(.-+. 4' /.0 )(%'++-%&'0 '& 0'&-4% '0' 4'6' 0'( -./ . +'(%9 EUIPO /-0.4%: ! T'%4%/-% A, ", 2 M-(. A, J"9""! 7 3 T(?)%4' K ! C%76% 2 E0.+.0 # 3 $./%&'0 ESUEMA DEL EUIPO: NIVEL DE INGENIERO MANUAL9
G(.-+% !: T'%4%/-% F'&': ):9+/.+-.-9+/-5.T'%4%/-%09))
TRÍPODE
G(.-+% 2: T(?)%4' F'&': ):9()%.+('9+%7%)%(.-.J./=-/'(J5'&.J 0'(5-+-%J'+&-+%)(%4+%0(-)%4'0
2
ESTACA
G(.-+% 3: E0.+. F'&': ):9%)%-'&4.9+%7ESTACAJ"JCM
$ALONES
G(.-+% : $./%&'0 F'&': ):9-0-6'(-+.9+%7@./%&'0@./%&'097
MIRA O ESTADAL
G(.-+% K: M-(. % '0.4./ F'&': ):9()%.+('9+%7%)%(.-.J./=-/'(J5'&.J 0'(5-+-%J'+&-+%)(%4+%05'(/'-+.J+/(!"!J7-(.J'/'0+%)-+.
COMBO
G(.-+% #: $./%&'0 F'&': ):('/.%04'70-&.96/%0)%9+%72"!2"3)&.J4'J +%76%97/
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
29 U6-+.7%0 '/ )(-7'( )&% '& '/ +./ 5.7%0 . )/.&.( '/ '%4%/-% ).(. )%4'( 0.+.( /.0 4-0.&+-.0 *&/%0 =' '>-0'& '&(' /%0 )&%0 =' '7%0 0'/'++-%&.4%9 39 U&. 5'; )/.&.4% '/ '%4%/-% '&+%&(.7%0 '/ &%(' +%(('0)%&4-'&' ).(. )%4'( '&+'((.( '/ '%4%/-% 4' '0. 7.&'(. )(%+'4'( . ('./-;.( '/ /'5.&.7-'&% 0-& &-&& -&+%&5'&-'&'9 K9 C%& .4. 4' /%0 @./%&'0 4' /. 7-(. )(%+'4'7%0 . %6'&'( /. )(-7'( 4-0.&+-. '/ )(-7'( *&/% =' '>-0' '&(' '/ )(-7'( 0'&4% )&%9 9 P.(. /. %6'&+-<& 4' /. 0'&4. 4-0.&+-. 5-7%0 =' ('./-;.( /. 6-+.+-<& 4' & )&% 7'4-% 4'6-4% . =' '& '/ /.( 4%&4' &%0 '&+%&(.7%0 5-7%0 %60*+/%0 =' -7)'4?.& /. 5-0./-;.+-<& +%(('+. '&(' /. 7-(. '/ '%4%/-%9 #9 U&. 5'; %6'&-4% '/ )&% 7'4-% +%&-&.7%0 %7.&4% /.0 4-0.&+-.0 +.76-.&4% '/ /.( 4'/ '%4%/-% 4'/ )&% 4' -&-+-% ./ )&% 7'4-% =' 0' 6-+< .&'(-%(7'&' %6'&'( /. 4-0.&+-. =' ./. ).(. +%7)/'.( '/ /.4% 4'/ +./ '0.7%0 %6'&-'&4% /.0 4-7'&0-%&'09 POLIGONAL CON ERRORES
9
+./ 0
R')'-7%0 '/ 7-07% )(%+'0% ).(.
θ1
98 ° 27 ' 0 ' '
d1
40.3 m
θ2
163 ° 1 ' 54 ' '
d2
40.7 m
)%0'(-%( 4'/ '4--+-% 4' -4(*/-+. '& '/
θ3
102 ° 17 ' 0 ' '
d3
24.5 m
&%0%(%0 '(7-&.(?.7%0 &'0(% )(%+'0%
θ4
88 ° 0 ' 24 ' '
d4
41.4 m
'0)'(.&4% =' '/ S'&4% ()% +/7-&'
θ5
177 ° 24 ' 0 ' '
d5
40.5 m
/'5.&.7-'&% )%4'( -&'(+.76-.( /%0
θ6
91 ° 9 ' 0 ' '
d6
24.8 m
('0/.4%09
%6'&'( /.0 4-7'&0-%&'0 4'/
/.4%
REGISTRO DE DATOS:
POLIGONAL SIN ERRORES
β 1
98 ° 23 ' 47 ' '
d1
42.3 m
β 2
162 ° 58 ' 41 ' '
d2
40.2 m
β 3
102 ° 13 ' 47 ' '
d3
β 4
87 ° 57 ' 11 ' '
d4
β 5
177 ° 20 ' 47 ' '
d5
β 6
91 ° 5 ' 47 ' '
d6
25.1 43 m
40.2 m 25.1 m
4
POLIGONAL CON ERRORES
d d1
d=(ls-li)*100 (1,30 -0,3!)*100
40.3
(1,015- 0,"03) 40.7 *100 d 3 (1,"15-1,3!0) *100 24.5 d2
MÉTODO DE TRIANGULACIÓNd 4
L ( a )
36.6 m
L ( b )
36.8 m
L ( c )
24.7 m
L ( e )
35.40 m
L ( f ) L ( g )
L (∅h1)
39 m
d 6 (1,351-1,103) *100 24.8
ÁNGULOS DEL MÉTODO DE TRIANGULACIÓN α 1
167 ° 37 ' 36 ' '
α 2
48 ° 1 ' 0 ' '
α 3
156 ° 53 ' 50 ' '
α 4
59 ° 19 ' 55 ' '
ÁNGULOS3.9 DE m LA COMPLEMENTACIÓN
22.9 m' 15 ' ' 2 ° 48
∅2
3 ° 16 ' 36 ' '
∅3
12 ° 5 ' 49 ' '
∅4
27 ° 50 ' 22 ' '
∅
5
∅6
41.4
d 5 (1,143-0,!3#) *100 40.5
7.2 m
L ( d )
(0,1#-0,504) *100
5 ° 14 ' 39 ' ' LADOS DEL EDIFICO 4 ° 28 ' 32 ' '
∅7
Lado lateral 9 ° 32 ' 32 ' derecho '
∅8
29 ° 31 ' 20 ' '
Lado superior
72.3 m
20.59
Lado lateral izquierdo
72.9 m
Lado inferior
21.1 m
CÁLCULOS TÍPICOS Y CÁLCULO DE ERRORES:
5
POLIGONAL SIN ERRORES
d
d=(ls-li)*100 d 1 (1,3#3-0,#1)*100
42.3
d
(1,3#4-0,#2) *100
d
(1,!01-1,450) *100 25.1
d
(0,!!#-0,34#) *100
40.2
43,0
(1,4!0-1,0"#) *100 40.2 d CORRECCIÓN DE ÁNGULOS $u%atoria de &n'ulos θ1
98 ° 27 ' 0 ' '
θ2
163 ° 1 ' 54 ' '
θ3
102 ° 17 ' 0 ' '
θ4
88 ° 0 ' 24 ' '
θ5
177 ° 24 ' 0 ' '
θ6
∑
n'ulos
(1,"03-1352) *100 orrecci+n 25,1 d de or%ula n'ulo de &n'ulos
∑ θ = ( n−2 )∗180° ᶜ
∑ θ = E ∑¿
θ −¿ ᶜ
∑ θ =( 6 −2 )∗180 ° =720 °
'
''
720 °−720 ° 19 18 ÁNGULOS CORREGIDOS
=−0 ° 3 ' 13 '
θ− E = β
β
91 ° 9 ' 0 ' ' ' ' ' θ1 98 ° 27 0 −0 ° 3 ' 13 ' ' 720 ° 19 ' 18 ' ' θ θ2 163 ° 1 ' 54 ' ' −0 ° 3 ' 13 ' '
β1
98 ° 23 ' 47 ' '
β2
162 ° 58 ' 41 ' '
θ3
102 ° 17 ' 0 ' ' −0 ° 3 ' 13 ' '
β3
102 ° 13 ' 47 ' '
θ4
88 ° 0 ' 24 ' ' − 0 ° 3 ' 13 ' '
β4
87 ° 57 ' 11 ' '
θ5
177 ° 24 ' 0 ' ' − 0 ° 3 ' 13 ' '
β5
177 ° 20 ' 47 ' '
θ6
91 ° 9 ' 0 ' ' −0 ° 3 ' 13 ' '
β6
91 ° 5 ' 47 ' '
"
LADOS DEL EDIFICIO
Lado lateral derecho Lado superior
Lado lateral izquierdo Lado inferior
CÁLCULOS
√ ( 36.6 m)2 +( 36.8 m ) −2 ( 36.6 m ) ( 36.8 m) cos (167° 37 ' 36 ' ' 2
48 ° 1 ' 0)}} 2
¿
2
72.3 m
20.59 m
( 7.20 m) + ( 24.70 m) −2 ( 7.20 m ) (24.70 m ) cos ¿ √ ¿ 156 ° 53 ' 50 )}}
72.9 m
¿ 2
( 35.40 m ) + ( 39 m )
2
−2 ( 35.40 m) ( 39 m ) cos ¿ √ ¿
59 ° 19 ' 55)}}
¿
21.1 m
( 3.9 m)2 + ( 22.9 m )2−2 ( 3.9 m) ( 22.9 m) cos ¿ √ ¿
CONCLUSIONES 7?&-7% 3:
P%( 7'4-% 4' /. )(*+-+. 0' /%(.(%& .)/-+.( /%0 ).0%0 '0.6/'+-4%0 ).(.( ('./-;.( & )%/?%&% +'((.4% +%& '//% 7'4-( /%0 /.4%0 4'/ '4--+-% 4' -4(*/-+. '0%0 71%4%0 /.76-'& //.7.4% )%( (%4'% 0-(5' ).(. /%+./-;.( /.0 +.(.+'(?0-+.0 4'/ '4--+-% . 7'4-(9 (ZOILA MARISOL CARTUCHE SACA) A )'0.( 4' =' /.0 7'4-4.0 %7.4.0 '& /. )(*+-+. '& '/ (.6.@% 4' +.7)% /.0 4-7'&0-%&'0 +./+/.4.0 '& '/ (.6.@% 4' %-+-&. 5.(?.& '& )'='%0 7'(%0 '0% )%4(?. 4'6'(0' . =' /%0 )&%0 %7.4.0 '& /. )%/-%&./ &% '(.& '>.+%0 +%7% /. 7'4-+-<& 4'/ '4--+-% 4' -4(*/-+. 0' 4-% '& 4%0 ()%0 &% 0' )%4(?. .)('+-.( '/ 7.('& 4' '((%( %7.4.0 '& 4-'('&' )'(0)'+-5.9 (ZOILA MARISOL CARTUCHE SACA) U&. 4' /.0 7.&'(.0 7*0 )(*+-+.0 4' /'5.&.( & '0).+-% 4' '(('&% =' -'&' &. %(7. 4''(7-&.4., ./ '0 '/ +.0% 4' /. (')('0'&.+-<& )/.&-71(-+. 4' & '4--+-%, '0 7'4-.&' /. -7)/.&.+-<& 4' & +%&@&% 4' )%/-%&./'0 .6-'(.0 +'((.4.09 (CORAL CHICAIZA IVÁN ANDRÉS) L.0 )%/-%&./'0 +'((.4.0 =' 0' %6-'&'& 4'6'& '0.( )('5-.7'&' +%(('-4.0 ).(. )%4'( (')/.&'.(0' '& '/ '(('&% .0? %7.( /%0 4.%0 4'/ '4--+-% 4' &. 7.&'(. 7*0 '>.+.9 (CORAL CHICAIZA IVÁN ANDRÉS) !
E0 07.7'&' -7)%(.&' %6'&'( '/ .;-7 4' &% 4' /%0 /.4%0 4'/ )%/?%&% ).(. )%4'( %6'&'( &. 6-+.+-<& '%(*-+. 4' &'0(% /'5.&.7-'&% , .4'7*0, ).(. )%4'( +%(('-( 4.%0 7'4-.&' +*/+/%0
'%71(-+%09 (IPIALES IPIALES DIEGO ARMANDO) S- '/ '%4%/-% &% '0* +%(('+.7'&' 6-'& &-5'/.4% &% &%0 4. /'+(.0 L. 6(6@. 4'/ %@% 4' )%//% 4'6' '0.( '& '/ +'&(% ).(. '&'( &. ./-&'.+-<& %(-;%&./ L.0 7'4-+-%&'0 4' /%0 *&/%0 4'6' 0'( 0-'7)(' 4'/ 0'&-4% &%('J0(9 S- &% '&+'(.7%0 '& '/ )&% '>.+% '/ '%4%/-% 7.(+.(. &. (.& 7.&-4 4' '((%( (IPIALES IPIALES DIEGO ARMANDO)
E/ T'%4%/-% '0 & -&0(7'&' 4' 6.@. )('+-0-<& '0 4'+-( &% &%0 '&('. 4.%0 '>.+%0 ./ 7%7'&% 4' 7'4-( *&/%09 (CHILUISA GUALPA ALEX DAVID) A/ +%(('-( *&/%0 '& &. )%/-%&./ /.0 4-7'&0-%&'0 .76-1& 5.(?.& '& '/ 71%4% 4'/ (%4'%9 (CHILUISA GUALPA ALEX DAVID)
D' /. )(*+-+. )%4'7%0 +%&+/-( =' ./ 7%7'&% 4' %7.( /%0 4.%0 4' /.0 4-0.&+-.0 /%0 *&/%0 &'+'0-.7%0 .)('+-.(/%0 7 6-'& 0'/'++-%&.( )&%0 5-0-6/'0 ).(. '/ '%4%/-% +%& ('0)'+% . /. 7-(. (CAIZAGUANO CHANGALOMBO EDISON PAUL)
A/ -&./-;.( /. )(*+-+. 5-7%0 7+%0 '((%('0 )%( /% +./ 5-7%0 =' ('./-;.( &'5.7'&' '/ /'5.&.7-'&% '& 4%&4' )4-7%0 '&'&4'( 4' 7'@%( 7.&'(. '/ '((%( =' '0*6.7%0 +%7'-'&4%9 (CAIZAGUANO CHANGALOMBO EDISON PAUL) C%& /. )(*+-+. 4'/ /'5.&.7-'&% 4' & '(('&% )%( 7'4-% 4' )%/-%&./'0 0' )4% +%&%+'( +%7)('&4'( ' 0% +%(('+% 4' '0' 71%4%, '/ +./ &%0 0'(5-(* '& & (% ).(. ('./-;.( /'5.&.7-'&%0 %)%(*-+%0 4' 7'4-.&. % (.& '>'&0-<&9 (ROCHA PAUCAR EVELYN CAROLINA )
A/ ('./-;.( /. +%&0(++-<& 4' &. )%/-%&./ +'((.4., -/-;.&4% '/ '%4%/-%, '0. &% 0'(* '>.+., '0 4'+-( 0-'7)(' '&+%&(.('7%0 & '((%( 4' 7.('&9 (ROCHA PAUCAR EVELYN CAROLINA )
RECOMENDACIONES 7?&-7% 3:
T'(7-&.4. /. )(*+-+. 4' +.7)% '& 5-0. 4' 7'@%(.( /.0 (.0 )(.+-+.0 %)%(*-+.0 =' 0' '&+'&('& (')('0'&.4.0 )%( '7.0 4' ./-7'(?. )/.&-7'(?. 0'(* 7'@%(.( /. +%7&-+.+-<& +%& '/ ()% ./ 7%7'&% #
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ÁN ANDRÉS) E/ -&0(7'&% =' 0.7%0 '& '0. )(*+-+. '0 '/ '%4%/-%, +%7% %4%0 0.6'7%0, &% '0 '/ 7*0 )('+-0% =' . . 4-0)%0-+-<& 4'/ 4').(.7'&% 4' %)%(.?., )%( /% =' ('+%7-'&4% =' 0' &%0 6(-&4' /. %)%(&-4.4 4' .)('&4'( . 0.( & -&0(7'&% 7+% 7*0 )('+-0% =' '/ '%4%/-% ).(. '5-.( '&'( '((%('0 4' 7*0 4' ""2"Q =' '0 /% =' 0' '0-7. '&'( +%& 4-+% -&0(7'&%9 (CORAL CHICAIZA IVÁN ANDRÉS) A/ ('./-;.( /. +%(('++-<& 4' /. )%/-%&./ +'((.4., '0 &'+'0.(-% +%(('-( '/ '((%( .&/.(, )'(% ./ ('./-;.( '0. +%(('++-<&, /.0 /%&-4'0 4' /%0 )%/?%&%0 5.& . 5.(-.(, '0 )%( '0% =' '0 ('+%7'&4.6/' ('./-;.( &. +%(('++-<& %./ 4' /%&-4'0 *&/%0 ).(. )%4'( (')/.&'.( '0' )%/?%&% %7.( /%0 ('0)'+-5%0 4.%0 4'/ '4--+-%9 (IPIALES IPIALES DIEGO ARMANDO) $e .e.e /ar dos patas del trpode para nielar as correcta%ente el ca.ezal del
trpode e.e%os %antener la altura del trpode al niel de la .ar.illa ncerar en el centro del al+n para %aor e6actitud (IPIALES IPIALES DIEGO ARMANDO) T'&'( 6-'&
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BIBLIOGRAFÍA: S)'+(. P('+-0-%& &&9 F+0JD/J! N-5'/ D--./9 S)'+(.)('+-0-%&9+%79 R'+)'(.4% '/ "8 4' &%5-'76(' 4'/ 2"!# 4': ):90)'+(.)('+-0-%&9+%7'&%+0J4/J!97/9V=7%C(DIU B%&-//., A9 T9 !839 Topografia. N9 V./4'((.7., E49 B%%*, C%/%76-.: E4-%(-./ N%(7.9 R'+)'(.4% "8 &%5-'76(' 4'/ 2"!# P.9!K2J!KK OLF9 P./ BRINER R00'//9 T%)%(.?.9 M1>-+%9 A/.%7'.9 2""# Torres, Nieto Álvaro. Topografía. Prentice Hall.2001 ANEOS:
CROQUIS: UNIVERSIDAD CENTRAL DEL ECUADOR 11
FACULTAD DE INGENIERIA CIENCIAS FÍSICAS Y MATEMÁTICAS
CISCO 7ra.ao de ca%po
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Figura 1: Materiales de la practica Tomada por: Grupo UCE
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Figura 2: Plantamiento del Teodolito Tomada por: Grupo UCE
Figura 3: Colocación de Jalones Tomada por: Grupo UCE
Figura 4: Colocación de la mira en cada jalon Tomada por: Grupo UCE
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Figura 5: Tomando distancias, ángulos, azimut Tomada por: Grupo UCE
Figura 6: Recopilación de datos Tomada por: Grupo UCE
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