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DEPARTAMENTO ACADÉMICO DEDEPARTAMENTO ACADÉMICO DE VIALIDAD Y GEOMÁTICAVIALIDAD Y GEOMÁTICA Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS CENTRO DE CAPACITACIÓN TÉCNICACENTRO DE CAPACITACIÓN TÉCNICA CENTRO DE CAPACITACIÓN TÉCNICACENTRO DE CAPACITACIÓN TÉCNICA CENTRO DE CAPACITACIÓN TÉCNICACENTRO DE CAPACITACIÓN TÉCNICA PRÁCTICAPRÁCTICA PRÁCTICAPRÁCTICA PRÁCTICAPRÁCTICA TRANSFORMA TRANSFORMACIÓN CIÓN DEDE COORDENADAS UTMCOORDENADAS UTM A A TOPOGRÁFITOPOGRÁFICA CA TRANSFORMA TRANSFORMACIÓN CIÓN DEDE COORDENADAS UTMCOORDENADAS UTM A A TOPOGRÁFITOPOGRÁFICA CA 11Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA Presentación Presentación del del eje eje de de una una carretera carretera georreerenciadgeorreerenciada.a. EstablecimieEstablecimiento nto de de puntos puntos GPS, GPS, mediante mediante coordenadas coordenadas UTM, UTM, segúnsegún el datum WGS84.el datum WGS84. Identificación Identificación de de los los circuitos circuitos (poligonale(poligonales) s) a a lo lo largo largo de de la la carreteracarretera citada.citada. TTransormación ransormación de de coordenadas coordenadas UTM UTM a a topográficatopográficas, s, por por circuito,circuito, utilizando el sofware SISTRAUT.utilizando el sofware SISTRAUT. Presentación Presentación de de los los datos datos de de campo campo de de cada cada poligonal poligonal (ángulos (ángulos y y dis-dis- tancias tancias topográficas)topográficas).. Procesamiento Procesamiento de de la la poligonal poligonal de de cada cada circuito, circuito, haciendo haciendo uso uso de de laslas coordenadas topográficas obtenidas con el sofware SISTRAUT.coordenadas topográficas obtenidas con el sofware SISTRAUT. CONTENIDOCONTENIDO 22Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA 33Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA ELECCIÓN DEL EJE DE MEDICIÓN :ELECCIÓN DEL EJE DE MEDICIÓN : Se estableció Se estableció como eje como eje de medición de medición la carretera la carretera Ayacucho –AAyacucho –Abancaybancay, correspond, correspondiente al iente al tramotramo km 50 +00 – km km 50 +00 – km 98 + 750, tal como se 98 + 750, tal como se muestra en el plano de la muestra en el plano de la página antecesora.página antecesora. PUNTOS GPS :PUNTOS GPS : Se han considerado 26 hitos distribuidos a lo largo de una carretera de Se han considerado 26 hitos distribuidos a lo largo de una carretera de 48.75 km , según se 48.75 km , según se muestra en el plano.muestra en el plano. A continuación se presentan A continuación se presentan las coordenadas UTM en las coordenadas UTM en el datum WGS84 de loel datum WGS84 de los 26 hitos.s 26 hitos. Dichos valores provienen de observaciones satelitales realizadas con receptores GPS de Dichos valores provienen de observaciones satelitales realizadas con receptores GPS de doble frecuencia.doble frecuencia. PPTTOO NNOORRTTE E ((mm)) EESSTTE E ((mm)) CCOOTTA A ((mm)) AZ66AZ66 8,523,718.957 596,920.1828,523,718.957 596,920.182 4,147.2414,147.241 PB66PB66 8,523,648.9178,523,648.917 597,951.333597,951.333 4,186.5424,186.542 AZ65AZ65 8,521,325.3728,521,325.372 599,720.167599,720.167 4,231.8724,231.872 PB65 PB65 8,521,193.18,521,193.196 600,568.487 96 600,568.487 4,186.9874,186.987 AZ64 AZ64 8,519,38,519,390.272 90.272 601,183.30601,183.306 6 4,189.9034,189.903 PB64 PB64 8,518,539.98,518,539.939 601,578.364 39 601,578.364 4,166.1884,166.188 AZ63 AZ63 8,517,38,517,358.939 58.939 604,017.27604,017.277 7 4,102.1394,102.139 PB63 PB63 8,516,775.58,516,775.543 603,886.233 43 603,886.233 4,079.2724,079.272 AZ62 AZ62 8,516,18,516,109.168 09.168 604,837.71604,837.712 2 4,002.8454,002.845 PB62 PB62 8,516,300.58,516,300.561 605,572.639 61 605,572.639 4,019.3904,019.390 AZ61 AZ61 8,516,08,516,036.123 36.123 608,235.97608,235.972 2 4,120.9874,120.987 PB61 PB61 8,516,015.18,516,015.177 608,691.585 77 608,691.585 4,140.0184,140.018 AZ60 AZ60 8,516,28,516,254.893 54.893 611,399.96611,399.967 7 4,101.4094,101.409 PB60 PB60 8,516,977.28,516,977.283 611,928.908 83 611,928.908 4,088.1844,088.184 AZ59 AZ59 8,519,98,519,936.001 36.001 612,632.16612,632.165 5 4,024.5114,024.511 PB59 PB59 8,519,261.98,519,261.974 613,296.358 74 613,296.358 3,991.2403,991.240 AZ58 AZ58 8,520,88,520,812.583 12.583 613,465.43613,465.438 8 3,813.2093,813.209 PB58 PB58 8,521,387.08,521,387.082 613,725.280 82 613,725.280 3,785.3583,785.358 AZ57 AZ57 8,521,38,521,367.342 67.342 614,204.63614,204.636 6 3,615.4183,615.418 PB57 PB57 8,521,438.78,521,438.705 614,297.419 05 614,297.419 3,577.1473,577.147 AZ56 AZ56 8,520,28,520,270.096 70.096 614,849.79614,849.795 5 3,437.0143,437.014 PB56 PB56 8,519,680.08,519,680.015 615,502.894 15 615,502.894 3,386.0583,386.058 AZ55 AZ55 8,519,38,519,375.192 75.192 616,246.83616,246.836 6 3,212.0303,212.030 PB55 PB55 8,519,343.98,519,343.922 616,919.582 22 616,919.582 3,174.6163,174.616 P185 P185 8,519,08,519,006.525 06.525 617,326.73617,326.738 8 3,145.2123,145.212 P186 P186 8,518,98,518,969.518 69.518 617,472.78617,472.780 0 3,137.1463,137.146 A ANNÁÁLLIISSIIS S EEXXPPEERRIIMMEENNTTAALL 44Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PTOPTO NNOORRTTE E ((mm)) EESSTTE E ((mm)) CCOOTTA A ((mm)) hh (elipsoidal)(elipsoidal) COCONVNVERERGEGENCNCIA (IA (DEDEG)G) LALATITITUTUD (DD (DEGEG)) AZ66 AZ66 8,523,718.96 8,523,718.96 596,920.18 596,920.18 4,147.244,147.24 41418282.0.0778 8 -0-0.2.2060670707979443 3 -1-133.3.352523394943232 PB66 PB66 8,523,648.92 8,523,648.92 597,951.33 597,951.33 4,186.544,186.54 42422121.3.3778 8 -0-0.2.2080891917070556 6 -1-133.3.352529993937676 AZ65 AZ65 8,521,325.37 8,521,325.37 599,720.17 599,720.17 4,231.874,231.87 42426666.7.7009 9 -0-0.2.2131303036060665 5 -1-133.3.373739942427676 PB65 PB65 8,521,193.20 8,521,193.20 600,568.49 600,568.49 4,186.994,186.99 42422121.8.8222 2 -0-0.2.2141486867979556 6 -1-133.3.375751109091616 AZ64 AZ64 8,519,390.27 8,519,390.27 601,183.31 601,183.31 4,189.904,189.90 42422424.7.7446 6 -0-0.2.2161645454545222 2 -1-133.3.391913388889191 PB64 PB64 8,518,539.94 8,518,539.94 601,578.36 601,578.36 4,166.194,166.19 42420101.0.0337 7 -0-0.2.2171742428888667 7 -1-133.3.399990063634444 AZ63 AZ63 8,517,358.94 8,517,358.94 604,017.28 604,017.28 4,102.144,102.14 41413737.0.0112 2 -0-0.2.2222288323242 42 -1-133.4.409096656563535 PB63 PB63 8,516,775.54 8,516,775.54 603,886.23 603,886.23 4,079.274,079.27 41411414.1.1449 9 -0-0.2.2222264642525332 2 -1-133.4.414149935355353 AZ62 AZ62 8,516,109.17 8,516,109.17 604,837.71 604,837.71 4,002.854,002.85 404037.737.737 37 -0-0.2.2242478785959558 8 -1-133.4.420209926267373 PB62 PB62 8,516,300.56 8,516,300.56 605,572.64 605,572.64 4,019.394,019.39 40405454.2.2887 7 -0-0.2.2262633331111666 6 -1-133.4.419191170701616 AZ61 AZ61 8,516,036.12 8,516,036.12 608,235.97 608,235.97 4,120.994,120.99 41415555.9.9114 4 -0-0.2.2323208082626775 5 -1-133.4.421214464646464 PB61 PB61 8,516,015.18 8,516,015.18 608,691.59 608,691.59 4,140.024,140.02 41417474.9.9551 1 -0-0.2.2333306062828225 5 -1-133.4.421216637372929 AZ60 AZ60 8,516,254.89 8,516,254.89 611,399.97 611,399.97 4,101.414,101.41 41413636.3.3668 8 -0-0.2.2383882829090664 4 -1-133.4.419193369691818 PB60 PB60 8,516,977.28 8,516,977.28 611,928.91 611,928.91 4,088.184,088.18 41412323.1.1336 6 -0-0.2.2393984841616883 3 -1-133.4.412128818181212 AZ59 AZ59 8,519,936.00 8,519,936.00 612,632.17 612,632.17 4,024.514,024.51 40405959.4.4114 4 -0-0.2.2404084849191445 5 -1-133.3.386860041418484 PB59 PB59 8,519,261.97 8,519,261.97613,296.36 613,296.36 3,991.243,991.24 4402026.6.116 6 -0-0.2.2424238383434994 4 -1-133.3.392921110103535 AZ58 AZ58 8,520,812.58 8,520,812.58 613,465.44 613,465.44 3,813.213,813.21 3384848.8.1 1 -0-0.2.2424248481616339 -139 -13.3.378780084849494 PB58 PB58 8,521,387.08 8,521,387.08 613,725.28 613,725.28 3,785.363,785.36 38382020.2.242 42 -0-0.2.244292933898969 69 -1-133.3.372728888090988 AZ57 AZ57 8,521,367.34 8,521,367.34 614,204.64 614,204.64 3,615.423,615.42 36365050.3.3005 5 -0-0.2.2434396966161112 2 -1-133.3.373730041410404 PB57 PB57 8,521,438.71 8,521,438.71 614,297.42 614,297.42 3,577.153,577.15 36361212.0.0333 3 -0-0.2.2444415152020558 8 -1-133.3.372723392922828 AZ56 AZ56 8,520,270.10 8,520,270.10 614,849.80 614,849.80 3,437.013,437.01 34347171.9.9226 6 -0-0.2.2454553532727223 3 -1-133.3.382829936362121 PB56 PB56 8,519,680.02 8,519,680.02 615,502.89 615,502.89 3,386.063,386.06 34342020.9.9888 8 -0-0.2.2474703030707112 2 -1-133.3.388882245456868 AZ55 AZ55 8,519,375.19 8,519,375.19 616,246.84 616,246.84 3,212.033,212.03 32324646.9.9774 4 -0-0.2.2484867674545113 3 -1-133.3.390909972724545 PB55 PB55 8,519,343.92 8,519,343.92 616,919.58 616,919.58 3,174.623,174.62 32320909.5.5667 7 -0-0.2.2505011118787885 5 -1-133.3.391912228286868 P185 P185 8,519,006.53 8,519,006.53 617,326.74 617,326.74 3,145.213,145.21 31318080.1.1775 5 -0-0.2.2515104048888772 2 -1-133.3.394942262629393 P186 P186 8,518,969.52 8,518,969.52 617,472.78 617,472.78 3,137.153,137.15 31317272.1.1112 2 -0-0.2.2515136367878001 1 -1-133.3.39494 5959171711 PUNTOS GPSPUNTOS GPS – – AL ALTURA ELIPSOIDAL Y CONVERGENCIA TURA ELIPSOIDAL Y CONVERGENCIA DE MERIDIANOSDE MERIDIANOS 55Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA POLIGONALES CERRADAS :POLIGONALES CERRADAS : Se ha considerado doce poligonales cerradas, desde la progresiva 50 +00 hasta la Se ha considerado doce poligonales cerradas, desde la progresiva 50 +00 hasta la 98 + 750.98 + 750. Si bien es cierto las poligonales se consideran cerradas, físicamente los circuitos físicos, no lo son, en tal sentido seSi bien es cierto las poligonales se consideran cerradas, físicamente los circuitos físicos, no lo son, en tal sentido se contempla en cada circuito :contempla en cada circuito : Partida : dos puntos de coordenadas topográficas conocidas.Partida : dos puntos de coordenadas topográficas conocidas. Llegada : dos pLlegada : dos puntos de coordenadas topográficas conocidas.untos de coordenadas topográficas conocidas. CIRCUITO 1 :CIRCUITO 1 : PTOPTO E (UTM)E (UTM) N(UTM)N(UTM) FIFI hh CONV. MERIDCONV. MERID PB66PB66 597951.333597951.333 8523648.9178523648.917 -13.35299376-13.35299376 4,221.3784,221.378 -0.208917056-0.208917056 AZ66AZ66 596920.182596920.182 8523718.9578523718.957 --13.3523943213.35239432 4182.0784182.078 PTOPTO K (ESCALA)K (ESCALA) K(ELEVACION)K(ELEVACION) K(COMBINADO)K(COMBINADO) PB66PB66 0.99971868443950.9997186844395 0.9993344880.999334488 0.999053360.99905336 AZ66AZ66 0.99971619871890.9997161987189 0.999340680.99934068 0.9990570660.999057066 PROMEDIOPROMEDIO 0.9990552127710.999055212771 PB66 - AZ66PB66 - AZ66 66Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 1,033.819 1,033.521,033.819 1,033.5277 1,034.5041,034.504 LLIINNEEAA t t ((TT--tt)) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -86.11420455-86.11420455 --4.84732E-064.84732E-06 273.8857954273.8857954 273.8857906273.8857906 273.6768735273.6768735 4.776562534.77656253 PTOPTO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB66PB66 597951.333597951.333 88552233664488..991177 AZ66AZ66 596,918.958596,918.958 8,523,715.2598,523,715.259 PTOPTO E (UTM)E (UTM) N(UTM)N(UTM) FIFI hh CONV. MERIDCONV. MERID PB66PB66 597951.333597951.333 8523648.9178523648.917 -13.35299376-13.35299376 4,221.3784,221.378 -0.208917056-0.208917056 AZ65AZ65 559999772200..116677 8521325.3728521325.372 -13.37394276-13.37394276 4266.7094266.709 PTOPTO K (K (EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB66PB66 0.99971868443950.9997186844395 0.9993344880.999334488 0.999053360.99905336 AZ65AZ65 0.99972300945320.9997230094532 0.9993273480.999327348 0.9990505430.999050543 PROMEDIOPROMEDIO 0.9990519182380.999051918238 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 2,921.027 2,921.027 2,920.211 2,920.211 2,922.9832,922.983 LLIINNEEAA t t ((TT--tt)) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -37.28075671-37.28075671 0.0001623450.000162345 142.7192433142.7192433 142.7194056142.7194056 142.5104886142.5104886 8727724487277244 PTOPTO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB66PB66 597951.333597951.333 8523648.9178523648.917 AZ65AZ65 599,730.308599,730.308 8,521,329.6338,521,329.633 PB66 - AZ65PB66 - AZ65 NotaNota NotaNota Las coordenadas topográficas del punto PB66 son iguales a las UTM de dichoLas coordenadas topográficas del punto PB66 son iguales a las UTM de dicho punto (Punto Base).punto (Punto Base). Las coordenadas topográficas del punto PB66 son iguales a las UTM de dichoLas coordenadas topográficas del punto PB66 son iguales a las UTM de dicho punto (Punto Base).punto (Punto Base). 77Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB66 - PB65PB66 - PB65 PTOPTO E (UTM)E (UTM) N(UTM)N(UTM) FIFI hh CONV. MERIDCONV. MERID PB66PB66 595979795151.33.3333 8523648.917 -13.35299376 8523648.917 -13.35299376 4,221.378 4,221.378 -0.208917056-0.208917056 PB65PB65 600568.487600568.487 8521193.1968521193.196 --13.3751091613.37510916 4221.8224221.822 PTOPTO K (K (EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB66PB66 0.99971868443950.9997186844395 0.9993344880.999334488 0.999053360.99905336 PB65PB65 0.99972511127560.9997251112756 0.9993344190.999334419 0.9990597140.999059714 PROMEDIOPROMEDIO 0.9990564995800.999056499580 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 3,589.878 3,589.878 3,588.880 3,588.880 3,592.2693,592.269 LLIINNEEAA tt (T-t)(T-t) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -46.82269605-46.82269605 0.0001720730.000172073 133.177304133.177304 133.177476133.177476 132.968559132.968559 2.3207391562.320739156 PTOPTO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB66PB66 597951.333597951.333 8523648.9178523648.917 PB65PB65 600,579.897600,579.897 8,521,200.4378,521,200.437 NotaNota Las coordenadas topográficas del punto PB66 son iguales a las UTM de Las coordenadas topográficas del punto PB66 son iguales a las UTM de dichodicho punto (Punto Base).punto (Punto Base). 88Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z Z I I N N I I 1 1 0 0 3 3 2 2 . . 3 3 7 7 5 5 - - 6 6 6 6 . . 3 3 4 4 2 2 - - 3 3 . . 6 6 7 7 6 6 8 8 5 5 8 8 99 2 2 9 9 9 9 3 3 . . 6 6 7 7 6 6 8 8 5 5 8 8 9 9 A A Z Z 6 6 6 6 P P B B 6 6 6 6 A A Z Z F F I I N N - - 8 8 4 4 9 9 . . 5 5 8 8 9 9 1 1 2 2 9 9 . . 1 1 9 9 6 6 - - 8 8 . . 6 6 4 4 6 6 6 6 5 5 6 6 8 8 0 0 9 9 2 2 7 7 8 8 . . 6 6 4 4 6 6 6 6 5 5 6 6 8 8 A A Z Z 6 6 5 5 P P B B 6 6 5 5 V V é é r r t t i i c c e e G G M M S S A A Z Z 6 6 6 6 9 9 3 3 . . 6 6 7 7 6 6 8 8 5 5 8 8 9 9 9 9 3 3 . . 6 6 7 7 6 6 8 8 5 5 8 8 9 9 A A Z Z 6 6 6 6 - - P P B B 6 6 6 6 1 1 0 0 3 3 4 4 . . 5 5 0 0 4 4 8 8 5 5 2 2 3 3 7 7 1 1 5 5 . . 2 2 5 5 9 9 5 5 9 9 6 6 9 9 1 1 8 8 . . 9 9 5 5 8 8 A A Z Z 6 6 6 6 P P B B 6 6 6 6 2 2 2 2 2 2 5 5 3 3 3 3 7 7 2 2 2 2 2 2 . . 8 8 9 9 3 3 6 6 1 1 1 1 1 1 1 1 3 3 6 6 . . 5 5 7 7 0 0 4 4 7 7 0 0 0 0 2 2 2 2 2 2 . . 8 8 9 9 4 4 0 0 1 1 6 6 1 1 3 3 6 6 . . 5 5 7 7 0 0 8 8 7 7 4 4 9 9 P P B B 6 6 6 6 - - P P 2 2 3 3 9 9 . . 9 9 9 9 2 2 3 3 9 9 . . 9 9 9 9 2 2 8 8 5 5 2 2 3 3 6 6 4 4 8 8 . . 9 9 1 1 7 7 5 5 9 9 7 7 9 9 5 5 1 1 . . 3 3 3 3 3 3 - - 0 0 . . 0 0 0 0 1 1 - - 0 0 . . 0 0 0 0 2 2 8 8 5 5 2 2 3 3 6 6 4 4 8 8 . . 9 9 1 1 7 7 5 5 9 9 7 7 9 9 5 5 1 1 . . 3 3 3 3 3 3 P P B B 6 6 6 6 P P 2 2 1 1 2 2 5 5 4 4 9 9 2 2 1 1 2 2 5 5 . . 8 8 1 1 7 7 2 2 2 2 2 2 2 2 8 8 2 2 . . 3 3 8 8 7 7 6 6 9 9 2 2 2 2 1 1 2 2 5 5 . . 8 8 1 1 7 7 4 4 5 5 1 1 8 8 2 2 . . 3 3 8 8 8 8 3 3 2 2 5 5 7 7 P P 2 2 - - P P 3 3 5 5 0 0 7 7 . . 8 8 9 9 4 4 5 5 4 4 7 7 . . 8 8 8 8 6 6 8 8 5 5 2 2 3 3 6 6 1 1 9 9 . . 8 8 7 7 4 4 5 5 9 9 7 7 9 9 7 7 8 8 . . 8 8 2 2 6 6 - - 0 0 . . 0 0 1 1 7 7 - - 0 0 . . 0 0 2 2 2 2 8 8 5 5 2 2 3 3 6 6 1 1 9 9 . . 8 8 7 7 3 3 5 5 9 9 7 7 9 9 7 7 8 8 . . 8 8 2 2 4 4 P P 2 2 P P 3 3 2 2 4 4 2 2 5 5 3 3 2 2 4 4 2 2 4 4 2 2 . . 8 8 9 9 0 0 0 0 0 0 0 0 0 0 1 14 4 5 5 . . 2 2 7 7 7 7 6 6 9 9 2 2 2 2 2 2 4 4 2 2 . . 8 8 9 9 0 0 4 4 4 4 1 1 1 1 4 4 5 5 . . 2 2 7 7 8 8 7 7 6 6 6 6 9 9 P P 3 3 - - P P 7 7 1 1 4 4 8 8 7 7 . . 5 5 3 3 5 5 2 2 0 0 3 3 5 5 . . 4 4 2 2 1 1 8 8 5 5 2 2 3 3 6 6 8 8 7 7 . . 1 1 4 4 9 9 5 5 9 9 8 8 4 4 8 8 2 2 . . 2 2 4 4 4 4 - - 0 0 . . 0 0 6 6 5 5 - - 0 0 . . 0 0 8 8 3 3 8 8 5 5 2 2 3 3 6 6 8 8 7 7 . . 1 1 3 3 1 1 5 5 9 9 8 8 4 4 8 8 2 2 . . 2 2 2 2 2 2 P P 3 3 P P 7 7 1 1 9 9 1 1 3 3 1 1 3 3 9 9 1 1 9 9 1 1 . . 5 5 2 2 7 7 5 5 0 0 0 0 0 0 1 1 5 5 6 6 . . 8 8 0 0 5 5 1 1 9 9 2 2 2 2 1 1 9 9 1 1 . . 5 5 2 2 7 7 8 8 4 4 8 8 1 1 5 5 6 6 . . 8 8 0 0 6 6 6 6 1 1 4 4 8 8 P P 7 7 - - P P 9 9 5 5 4 4 8 8 . . 8 8 2 2 6 6 2 2 5 5 8 8 4 4 . . 2 2 4 4 7 7 8 8 5 5 2 2 2 2 4 4 6 6 4 4 . . 4 4 9 9 4 4 5 5 9 9 9 9 3 3 2 2 9 9 . . 5 5 2 2 1 1 - - 0 0 . . 0 0 8 8 2 2 - - 0 0 . . 1 1 0 0 5 5 8 8 5 5 2 2 2 2 4 4 6 6 4 4 . . 4 4 3 3 0 0 5 5 9 9 9 9 3 3 2 2 9 9 . . 4 4 3 3 8 8 P P 7 7 P P 9 9 1 1 8 8 9 9 2 2 0 0 2 2 6 6 1 1 8 8 9 9 . . 3 3 4 4 0 0 5 5 5 5 5 5 6 6 1 1 6 6 6 6 . . 1 1 4 4 5 5 7 7 4 4 7 7 8 8 1 1 8 8 9 9 . . 3 3 4 4 0 0 9 9 0 0 0 0 1 1 6 6 6 6 . . 1 1 4 4 7 7 5 5 1 1 4 4 4 4 P P 9 9 - - P P 1 1 0 0 4 4 0 0 5 5 . . 3 3 1 1 8 8 2 2 9 9 8 8 9 9 . . 5 5 6 6 5 5 8 8 5 5 2 2 1 1 9 9 6 6 0 0 . . 0 0 2 2 4 4 5 5 9 9 9 9 5 5 4 4 5 5 . . 6 6 6 6 8 8 - - 0 0 . . 0 0 9 9 5 5 - - 0 0 . . 1 1 2 2 2 2 8 8 5 5 2 2 1 1 9 9 5 5 9 9 . . 9 9 4 4 2 2 5 5 9 9 9 9 5 5 4 4 5 5 . . 5 5 6 6 3 3 P P 9 9 P P 1 1 0 0 1 1 7 7 3 3 3 3 1 1 1 1 3 3 1 1 7 7 3 3 . . 5 5 2 2 0 0 2 2 7 7 7 7 8 8 1 1 5 5 9 9 . .6 6 6 6 6 6 0 0 2 2 5 5 6 6 1 1 7 7 3 3 . . 5 5 2 2 0 0 5 5 9 9 3 3 1 1 5 5 9 9 . . 6 6 6 6 8 8 1 1 0 0 7 7 4 4 P P 1 1 0 0 - - A A Z Z 6 6 5 5 2 2 5 5 2 2 . . 4 4 9 9 0 0 3 3 2 2 4 4 2 2 . . 0 0 5 5 5 5 8 8 5 5 2 2 1 1 5 5 6 6 6 6 . . 4 4 9 9 5 5 5 5 9 9 9 9 6 6 4 4 2 2 . . 7 7 1 1 1 1 - - 0 0 . . 1 1 0 0 3 3 - - 0 0 . . 1 1 3 3 2 2 8 8 5 5 2 2 1 1 5 5 6 6 6 6 . . 4 4 0 0 0 0 5 5 9 9 9 9 6 6 4 4 2 2 . . 5 5 8 8 9 9 P P 1 1 0 0 A A Z Z 6 6 5 5 1 1 1 1 8 8 5 5 8 8 4 4 2 2 1 1 1 1 8 8 . . 9 9 7 7 8 8 3 3 3 3 3 3 3 3 9 9 8 8 . . 6 6 4 4 4 4 3 3 5 5 8 8 9 9 1 1 1 1 8 8 . . 9 9 7 7 8 8 5 5 4 4 9 9 9 9 8 8 . . 6 6 4 4 6 6 6 6 5 5 6 6 8 8 A A Z Z 6 6 5 5 - - P P B B 6 6 5 5 8 8 5 5 9 9 . . 3 3 5 5 6 6 8 8 5 5 2 2 1 1 3 3 2 2 9 9 . . 7 7 3 3 6 6 5 5 9 9 9 9 7 7 3 3 0 0 . . 4 4 4 4 0 0 8 8 5 5 2 2 1 1 3 3 2 2 9 9 . . 6 6 3 3 3 3 5 5 9 9 9 9 7 7 3 3 0 0 . . 3 3 0 0 8 8 A A Z Z 6 6 5 5 P P B B 6 6 5 5 2 2 7 7 8 8 . . 6 6 4 4 4 4 3 3 5 5 8 8 9 9 2 2 7 7 8 8 . . 6 6 4 4 6 6 6 6 5 5 6 6 8 8 8 8 5 5 2 2 1 1 2 2 0 0 0 0 . . 4 4 3 3 7 7 6 6 0 0 0 0 5 5 7 7 9 9 . . 8 8 9 9 7 7 P P B B 6 6 5 5 1 1 2 2 6 6 4 4 . . 9 9 6 6 7 7 5 5 0 0 P P é é r r i i m m . . = = > > 5 5 1 1 3 3 5 5 . . 9 9 1 1 6 6 0 0 . . 1 1 0 0 3 3 0 0 . . 1 1 3 3 2 2 3 3 2 2 4 4 2 2 . . 0 0 5 5 5 5 - - 0 0 . . 0 0 0 0 2 2 3 3 0 0 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) C C o o m m p p r r o o b b a a c c i i o o n n N N r r o o v v e e r r t t i i c c e e s s 7 7 A A D D M M I I S S I I B B L L E E S S 8 8 5 5 2 2 1 1 3 3 2 2 9 9 . . 6 6 3 3 3 3 5 5 9 9 9 9 7 7 3 3 0 0 . . 3 3 0 0 8 8 E E . . L L i i n n e e a a l l 0 0 . . 1 1 6 6 8 8 m m . . E E . . R R e e l l a a t t . . 1 1 / / 1 1 9 9 3 3 5 5 2 2 m m . . 11 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 8 8 . . 2 2 7 7 2 2 6 6 . . 4 4 6 6 E E r r r r o o r r A A n n g g . . D D i i s s t t a a n n c c i i a a D D i i s s t t a a n n c c i i a a A A c c u u m m u u l l a a d d N N o o r r t t e e E E s s t t e e Á Á n n g g u u l l o o H H o o r r i i z z o o n n t t a a l l Á Á n n g g . . D D e e g g . . A A z z i i m m u u t t Á Á n n g g . . C C o o r r r r . . A A z z i i m m u u t t C C o o r r N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e S S u u m m A A n n g g . . Y Y C C o o r r r r . . X X C C o o r r r r . . L L a a d d o o 99Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA CIRCUITO 2 :CIRCUITO 2 : PB65 - AZ65PB65 - AZ65 PTOPTO E (UTM)E (UTM) N(UTM)N(UTM) FIFI h h CONV. CONV. MERIDMERID PB65PB65 600568.487600568.487 8521193.1968521193.196 -13.37510916-13.37510916 4,221.8224,221.822 -0.214867956-0.214867956 AAZZ6655 559999772200..116677 8521325.3728521325.372 --13.3739427613.37394276 4266.7094266.709 PTOPTO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB65PB65 0.99972511127560.9997251112756 0.9993344190.999334419 0.9990597140.999059714 AZ65AZ65 0.99972300945320.9997230094532 0.9993273480.999327348 0.9990505430.999050543 PROMEDIOPROMEDIO 0.9990551284090.999055128409 1010Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB65 - AZ64PB65 - AZ64 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 858.792 858.792 858.555 858.555 859.367859.367 LLIINNEEAA tt (T-t)(T-t) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZG(RAD)ZG(RAD) ABAB -81.14400057-81.14400057 -9.39858E-06-9.39858E-06 278.8559994278.8559994 278.85599278.85599 278.6411221278.6411221 4.8632050124.863205012 PTOPTO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB65PB65 660000557799..889977 8521200.4378521200.437 AZ65AZ65 599,730.284599,730.284 8,521,329.5538,521,329.553 PTOPTO E (UTM)E (UTM) N(UTM)N(UTM) FIFI hh CONV. MERIDCONV. MERID PB65PB65 660000556688..448877 88552211119933..11996 6 --1133..337755110099116 6 44,,222211..88222 2 00..221144886677995566 AAZZ6644 660011118833..330066 8519390.2728519390.272 -13.39138891-13.39138891 4224.7464224.746 PTOPTO K (K (EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB65PB65 0.99972511127560.9997251112756 0.9993344190.999334419 0.9990597140.999059714 AZ64AZ64 0.99972664549210.9997266454921 0.999333960.99933396 0.9990607870.999060787 PROMEDIOPROMEDIO 0.9990602302740.999060230274 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM) ) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 1,905.394 1,905.394 1,904.872 1,904.872 1,906.6641,906.664 LLIINNEEAA tt (T-t)(T-t) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -18.8300002-18.8300002 0.0001288230.000128823 161.1699161.1699998998 161.1701286161.1701286 160.9552607160.9552607 2.8091992472.809199247 PTOPTO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB65PB65 600579.897600579.897 8521200.4378521200.437 AZ64AZ64 601,202.054601,202.054 8,519,398.1368,519,398.136 1111Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB65 - PB64PB65 - PB64 PTOPTO E (UTM)E (UTM) N(UTM)N(UTM) FIFI hh CONV. MERIDCONV. MERID PB65PB65 660000556688..448877 88552211119933..11996 6 --1133..337755110099116 6 44,,222211..88222 2 --00..221144886677995566 PPBB6644 660011557788..336644 8518539.9398518539.939 -13.39906344-13.39906344 4201.0374201.037 PTOPTO K (K (EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB65PB65 0.99972511127560.9997251112756 0.9993344190.999334419 0.9990597140.999059714 PB64PB64 0.99972763628840.9997276362884 0.9993376950.999337695 0.9990655120.999065512 PROMEDIOPROMEDIO 0.9990625691880.999062569188 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 2,839.725 2,839.725 2,838.948 2,838.948 2,841.6122,841.612 LLIINNEEA A tt (T-t)(T-t) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -20.83771855-20.83771855 0.0001898290.000189829 159.1622814159.1622814 159.1624713159.1624713 158.9476033158.9476033 2.7741590162.774159016 PTOPTO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB65PB65 600579.897600579.897 8521200.4378521200.437 PB64PB64 601,600.665601,600.665 8,518,548.4968,518,548.496 1212Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z Z I I N N I I 8 8 4 4 9 9 . . 6 6 1 1 3 3 - - 1 1 2 2 9 9 . . 1 1 1 1 6 6 - - 8 8 . . 6 6 4 4 1 1 1 1 4 4 3 3 1 1 0 0 6 6 9 9 8 8 . . 6 6 4 4 1 1 1 1 4 4 3 3 1 1 A A Z Z 6 6 5 5 P P B B 6 6 5 5 A A Z Z F F I I N N - - 3 3 9 9 8 8 . . 6 6 1 1 1 1 8 8 4 4 9 9 . . 6 6 4 4 0 0 - - 6 6 4 4 . . 8 8 6 6 6 6 2 2 4 4 5 5 9 9 7 7 3 3 3 3 4 4 . . 8 8 6 6 6 6 2 2 4 4 6 6 A A Z Z 6 6 4 4 P P B B 6 6 4 4 V V é é r r t t i i c c e e G G M M S S A A Z Z 6 6 5 5 9 9 8 8 . . 6 6 4 4 1 1 1 1 4 4 3 3 1 1 9 9 8 8 . . 6 6 4 4 1 1 1 1 4 4 3 3 1 1 A A Z Z 6 6 5 5 - - P P B B 6 6 5 5 8 8 5 5 9 9 . . 3 3 6 6 8 8 8 8 5 5 2 2 1 1 3 3 2 2 9 9 . . 5 5 5 5 3 3 55 9 9 9 9 7 7 3 3 0 0 . . 2 2 8 8 4 4 A A Z Z 6 6 5 5 P P B B 6 6 5 5 1 1 8 8 1 1 2 2 1 1 2 2 5 5 . . 2 2 1 1 8 8 1 1 . . 3 3 5 5 7 7 0 0 0 0 0 0 0 0 9 9 9 9 . . 9 9 9 9 8 8 1 1 4 4 3 3 1 1 1 1 8 8 1 1 . . 3 3 5 5 7 7 0 0 6 6 2 2 9 9 9 9 . . 9 9 9 9 8 8 2 2 0 0 4 4 7 7 P P B B 6 6 5 5 - - P P 1 1 4 4 2 2 3 3 4 4 . . 9 9 5 5 6 6 2 2 3 3 4 4 . . 9 9 5 5 6 6 8 8 5 5 2 2 1 1 2 2 0 0 0 0 . . 4 4 3 3 7 7 6 6 0 0 0 0 5 5 7 7 9 9 . . 8 8 9 9 7 7 - - 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 0 0 5 5 8 8 5 5 2 2 1 1 2 2 0 0 0 0 . . 4 4 3 3 7 7 6 6 0 0 0 0 5 5 7 7 9 9 . . 8 8 9 9 7 7 P P B B 6 6 5 5 P P 1 1 4 4 1 1 7 7 8 8 2 2 1 1 3 3 6 6 . . 2 2 1 1 7 7 8 8 . . 3 3 6 6 0 0 0 0 5 5 5 5 6 6 9 9 8 8 . . 3 3 5 5 8 8 1 1 9 9 8 8 7 7 1 1 7 7 8 8 . . 3 3 6 6 0 0 1 1 1 1 6 6 9 9 8 8 . . 3 3 5 5 8 8 3 3 2 2 0 0 9 9 P P 1 1 4 4 - - P P 1 1 5 5 8 8 7 7 . . 3 3 9 9 8 8 3 3 2 2 2 2 . . 3 3 5 5 4 4 8 8 5 5 2 2 1 1 1 1 5 5 9 9 . . 6 6 4 4 5 5 6 6 0 0 0 0 8 8 1 1 1 1 . . 2 2 8 8 5 5 - - 0 0 . . 0 0 0 0 4 4 - - 0 0 . . 0 0 0 0 7 7 8 8 5 5 2 2 1 1 1 1 5 5 9 9 . . 6 6 4 4 2 2 6 6 0 0 0 0 8 8 1 1 1 1 . . 2 2 8 8 0 0 P P 1 1 4 4 P P 1 1 5 5 1 1 8 8 8 8 2 2 6 6 5 5 1 1 . . 5 5 1 1 8 8 8 8 . . 4 4 4 4 7 7 6 6 3 3 8 8 9 9 1 1 0 0 6 6 . . 8 8 0 0 5 5 8 8 3 3 7 7 6 6 1 1 8 8 8 8 . . 4 4 4 4 7 7 7 7 0 0 3 3 1 1 0 0 6 6 . . 8 8 0 0 6 6 0 0 2 2 3 3 9 9 P P 1 1 5 5 - - P P 1 1 6 6 2 2 7 7 7 7 . . 2 2 5 5 0 0 5 5 9 9 9 9 . . 6 6 0 0 4 4 8 8 5 5 2 2 1 1 1 1 4 4 6 6 . . 9 9 4 4 0 0 6 6 0 0 0 0 8 8 9 9 7 7 . . 7 7 5 5 4 4 - - 0 0 . . 0 0 0 0 7 7 - - 0 0 . . 0 0 1 1 2 2 8 8 5 5 2 2 1 1 1 1 4 4 6 6 . . 9 9 3 3 6 6 6 6 0 0 0 0 8 8 9 9 7 7 . . 7 7 4 4 8 8 P P 1 1 5 5 P P 1 1 6 6 1 1 8 8 8 8 2 2 3 3 6 6 . . 5 5 1 1 8 8 8 8 . . 0 0 4 4 3 3 4 4 7 7 2 2 2 2 1 1 1 1 4 4 . . 8 8 4 4 9 9 3 3 0 0 9 9 8 8 1 1 8 8 8 8 . . 0 0 4 4 3 3 5 5 3 3 6 6 1 1 1 1 4 4 . . 8 8 4 4 9 9 5 5 5 5 9 9 9 9 P P 1 1 6 6 - - P P 1 1 7 7 2 2 2 2 7 7 . . 1 1 4 4 9 9 8 8 2 2 6 6 . . 7 7 5 5 3 3 8 8 5 5 2 2 1 1 0 0 6 6 6 6 . . 7 7 7 7 8 8 6 6 0 0 1 1 1 1 6 6 3 3 . . 1 1 6 6 3 3 - - 0 0 . . 0 0 1 1 0 0 - - 0 0 . . 0 0 1 1 7 7 8 8 5 5 2 2 1 1 0 0 6 6 6 6 . . 7 7 7 7 1 1 6 6 0 0 1 1 1 1 6 6 3 3 . . 1 1 5 5 0 0 P P 1 1 6 6 P P 1 1 7 7 1 1 8 8 9 9 4 4 5 5 2 2 6 6 . . 5 5 1 1 8 8 9 9 . . 7 7 5 5 7 7 3 3 6 6 1 1 1 1 1 1 2 2 4 4 . . 6 6 0 0 6 6 6 6 7 7 0 0 9 9 1 1 8 8 9 9 . . 7 7 5 5 7 7 4 4 2 2 6 6 1 1 2 2 4 4 . . 6 6 0 0 6 6 9 9 8 8 5 5 5 5 P P 1 1 7 7 - - P P 1 1 8 8 3 3 2 2 0 0 . . 8 8 1 1 9 9 1 1 1 1 4 4 7 7 . . 5 5 7 7 2 2 8 8 5 5 2 2 0 0 9 9 7 7 1 1 . . 3 3 2 2 2 2 6 6 0 0 1 1 3 3 6 6 9 9 . . 2 2 8 8 1 1 - - 0 0 . . 0 0 1 1 4 4 - - 0 0 . . 0 0 2 2 4 4 8 8 5 5 2 2 0 0 9 9 7 7 1 1 . . 3 3 1 1 2 2 6 6 0 0 1 1 3 3 6 6 9 9 . . 2 2 6 6 4 4 P P 1 1 7 7 P P 1 1 8 8 1 1 8 8 9 9 3 3 4 4 5 5 3 3 1 1 8 8 9 9 . . 5 5 8 8 1 1 3 3 8 8 8 8 9 9 1 1 3 3 4 4 . . 1 1 8 8 8 8 0 0 5 5 9 9 8 8 1 1 8 8 9 9 . . 5 5 8 8 1 1 4 4 5 5 3 3 1 1 3 3 4 4 . . 1 1 88 8 8 4 4 3 3 8 8 8 8 P P 1 1 8 8 - - P P 1 1 9 9 1 1 4 4 2 2 . . 5 5 6 6 6 6 1 1 2 2 9 9 0 0 . . 1 1 3 3 8 8 8 8 5 5 2 2 0 0 7 7 8 8 9 9 . . 1 1 1 1 4 4 6 6 0 0 1 1 6 6 3 3 3 3 . . 3 3 3 3 7 7 - - 0 0 . . 0 0 1 1 5 5 - - 0 0 . . 0 0 2 2 7 7 8 8 5 5 2 2 0 0 7 7 8 8 9 9 . . 1 1 0 0 1 1 6 6 0 0 1 1 6 6 3 3 3 3 . . 3 3 1 1 3 3 P P 1 1 8 8 P P 1 1 9 9 2 2 4 4 2 2 5 5 5 5 5 5 1 1 2 2 4 4 2 2 . . 9 9 3 3 0 0 8 8 3 3 3 3 3 3 1 1 9 9 7 7 . . 1 1 1 1 8 8 8 8 9 9 3 3 1 1 2 2 4 4 2 2 . . 9 9 3 3 0 0 9 9 1 1 6 6 1 1 9 9 7 7 . . 1 1 1 1 9 9 3 3 5 5 4 4 7 7 P P 1 1 9 9 - - P P 2 2 0 0 1 1 9 9 2 2 . . 5 5 3 3 2 2 1 1 4 4 8 8 2 2 . . 6 6 7 7 0 0 8 8 5 5 2 2 0 0 6 6 8 8 9 9 . . 7 7 4 4 3 3 6 6 0 0 1 1 7 7 3 3 5 5 . . 5 5 6 6 4 4 - - 0 0 . . 0 0 1 1 7 7 - - 0 0 . . 0 0 3 3 1 1 8 8 5 5 2 2 0 0 6 6 8 8 9 9 . . 7 7 2 2 8 8 6 6 0 0 1 1 7 7 3 3 5 5 . . 5 5 3 3 7 7 P P 1 1 9 9 P P 2 2 0 0 2 2 1 1 0 0 5 5 3 3 0 0 . . 5 5 2 2 1 1 0 0 . . 0 0 9 9 1 1 8 8 0 0 5 5 6 6 2 2 2 2 7 7 . . 2 2 1 1 0 0 6 6 9 9 8 8 7 7 2 2 1 1 0 0 . . 0 0 9 9 1 1 8 8 7 7 7 7 2 2 2 2 7 7 . . 2 2 1 1 1 1 2 2 3 3 1 1 7 7 P P 2 2 0 0 - - P P 2 2 1 1 8 8 3 3 . . 1 1 5 5 2 2 1 1 5 5 6 6 5 5 . . 8 8 2 2 2 2 8 8 5 5 2 2 0 0 5 5 0 0 5 5 . . 7 7 4 4 1 1 6 6 0 0 1 1 6 6 7 7 8 8 . . 8 8 8 8 9 9 - - 0 0 . . 0 0 1 1 8 8 - - 0 0 . . 0 0 3 3 3 3 8 8 5 5 2 2 0 0 5 5 0 0 5 5 . . 7 7 2 2 4 4 6 6 0 0 1 1 6 6 7 7 8 8 . . 8 8 5 5 9 9 P P 2 2 0 0 P P 2 2 1 1 1 1 5 5 4 4 2 2 2 2 1 1 1 1 . . 8 8 1 1 5 5 4 4 . . 3 3 6 6 9 9 9 9 4 4 4 4 4 4 2 2 0 0 1 1 . . 5 5 8 8 0 0 6 6 4 4 3 3 1 1 1 1 5 5 4 4 . . 3 3 6 6 9 9 9 9 9 9 7 7 2 2 0 0 1 1 . . 5 5 8 8 1 1 2 2 2 2 8 8 5 5 P P 2 2 1 1 - - A A Z Z 6 6 4 4 1 1 1 1 3 3 0 0 . . 3 3 2 2 8 8 2 2 6 6 9 9 6 6 . . 1 1 5 5 0 0 8 8 5 5 2 2 0 0 4 4 4 4 9 9 . . 2 2 5 5 6 6 6 6 0 0 1 1 6 6 1 1 7 7 . . 8 8 6 6 7 7 - - 0 0 . . 0 0 3 3 2 2 - - 0 0 . . 0 0 5 5 6 6 8 8 5 5 2 2 0 0 4 4 4 4 9 9 . . 2 2 3 3 8 8 6 6 0 0 1 1 6 6 1 1 7 7 . . 8 8 3 3 5 5 P P 2 2 1 1 A A Z Z 6 6 4 4 1 1 3 3 3 3 1 1 7 7 5 5 . . 9 9 1 1 3 3 3 3 . . 2 2 8 8 4 4 9 9 7 7 2 2 2 2 1 1 5 5 4 4 . . 8 8 6 6 5 5 6 6 1 1 5 5 3 3 1 1 3 3 3 3 . . 2 2 8 8 5 5 0 0 1 1 7 7 1 1 5 5 4 4 . . 8 8 6 6 6 6 2 2 4 4 6 6 0 0 A A Z Z 6 6 4 4 - - P P B B 6 6 4 4 9 9 3 3 8 8 . . 4 4 9 9 8 8 8 8 5 5 1 1 9 9 3 3 9 9 8 8 . . 1 1 6 6 8 8 6 6 0 0 1 1 2 2 0 0 2 2 . . 1 1 1 1 0 0 8 8 5 5 1 1 9 9 3 3 9 9 8 8 . . 1 1 3 3 6 6 6 6 0 0 1 1 2 2 0 0 2 2 . . 0 0 5 5 4 4 A A Z Z 6 6 4 4 P P B B 6 6 4 4 3 3 3 3 4 4 . . 8 8 6 6 5 5 6 6 1 1 5 5 3 3 3 3 3 3 4 4 . . 8 8 6 6 6 6 2 2 4 4 6 6 0 0 8 8 5 5 1 1 8 8 5 5 4 4 8 8 . . 4 4 9 9 6 6 6 6 0 0 1 1 6 6 0 0 0 0 . . 6 6 6 6 5 5 P P B B 6 6 4 4 L L a a d d o o N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e Y Y C C o o r r r r . . X X C C o o r r r r . . E E r r r r o o r r A A n n g g . . D D i i s s t t a a n n c c i ia a D D i i s s t t a a n n c c i i a a A A c c u u m m u u l l a a d d a a N N o o r r t t e e E E s s t t e e Á Á n n g g u u l l o o H H o o r r i i z z o o n n t t a a l l Á Á n n g g . . D D e e g g . . A A z z i i m m u u t t Á Á n n g g . . C C o o r r r r . . A A z z i i m m u u t t C C o o r r r r . . C C o o m m p p r r o o b b a a c c i i o o n n 8 8 5 5 1 1 9 9 3 3 9 9 8 8 . . 1 1 3 3 6 6 6 6 0 0 1 1 2 2 0 0 2 2 . . 0 0 5 5 4 4 1 1 8 8 5 5 6 6 . . 2 2 2 2 4 4 4 4 7 7 P P é é r r i i m m . . = = > > 4 4 4 4 9 9 4 4 . . 0 0 1 1 6 6 0 0 . . 0 0 3 3 2 2 0 0 . . 0 0 5 5 6 6 2 2 6 6 9 9 6 6 . . 1 1 5 5 0 0 - - 0 0 . . 0 0 0 0 0 0 6 6 3 3 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) N N r r o o v v e e r r t t i i c c e e s s 1 1 0 0 A A D D M M I I S S I I B B L L E E S S E E . . L L i i n n e e a a l l 0 0 . . 0 0 6 6 5 5 m m . . E E . . R R e e l l a a t t . . 1 1 / / 4 4 1 1 7 7 7 7 5 5 m m . . 1 1 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 2 2 . . 2 2 7 7 3 3 1 1 . . 6 6 2 2 S S u u m m A A n n g g . . 1313Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA CIRCUITO 3 :CIRCUITO 3 : PB64 - AZ64PB64 - AZ64 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFII hh CONV. MERIDCONV. MERID PB64PB64 660011557788..336644 8518539.9398518539.939 -13.39906344-13.39906344 4,201.0374,201.037 --0.2174288670.217428867 AAZZ6644 660011118833..330066 8519390.2728519390.272 -- 13.3913889113.39138891 4224.7464224.746 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB64PB64 0.99972763628840.9997276362884 0.9993376950.999337695 0.9990655120.999065512 AZ64AZ64 0.99972664549210.9997266454921 0.999333960.99933396 0.9990607870.999060787 PROMEDIOPROMEDIO 0.9990631451170.999063145117 1414Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB64 - AZ63PB64 - AZ63 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 937.879 937.879 937.623 937.623 938.502938.502 LLIINNEEAA tt (T-t)(T-t) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -24.91920901-24.91920901 --6.11641E-056.11641E-05 335.080791335.080791 335.0807298335.0807298 334.863301334.863301 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB64PB64 601600.665601600.665 88551188554488..449966 AZ64AZ64 601,202.009601,202.009 8,519,398.1198,519,398.119 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFII hh CONV. MERIDCONV. MERID PB64PB64 601578.364601578.364 8518539.9398518539.939 -13.39906344-13.39906344 4,201.0374,201.037 --0.2174288670.217428867 AAZZ6633 660044001177..22777 7 88551177335588..99339 9 -- 1133..4400996655663355 4137.0124137.012 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB64PB64 0.99972763628840.9997276362884 0.9993376950.999337695 0.9990655120.999065512 AZ63AZ63 0.99973383901840.9997338390184 0.9993477830.999347783 0.9990817960.999081796 PROMEDIOPROMEDIO 0.9990736452410.999073645241 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 2,710.538 2,710.538 2,709.808 2,709.808 2,712.3202,712.320 LLIINNEEAA tt (T-t)(T-t) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -64.16224378-64.16224378 8.57398E-058.57398E-05 115.8377562115.8377562 115.837842115.837842 115.6204131115.6204131 2.0179568912.017956891 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB64PB64 601600.665601600.665 88551188554488..449966 AZ63AZ63 604,046.306 8,517,375.670604,046.306 8,517,375.670 5.8444671465.844467146 1515Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB64 - AZ63PB64 - AZ63 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB64PB64 660011557788..336644 8518539.9398518539.939 -13.39906344-13.39906344 4,201.0374,201.037 -0.217428867-0.217428867 PPBB6633 660033888866..223333 8516775.5438516775.543 -- 13.4149355313.41493553 4114.1494114.149 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB64PB64 0.99972763628840.9997276362884 0.9993376950.999337695 0.9990655120.999065512 PB63PB63 0.99973350191900.9997335019190 0.9993513850.999351385 0.999085060.99908506 PROMEDIOPROMEDIO 0.9990752668580.999075266858 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 2,905.839 2,905.839 2,905.056 2,905.056 2,907.7452,907.745 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -52.60161516-52.60161516 0.0001280390.000128039 127.3983848127.3983848 127.3985129127.3985129 127.181084127.181084 2.2197286622.219728662 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB64PB64 660011660000..666655 8518548.4968518548.496 PB63PB63 603,603, 917.3917.35151 8,516,791.2418,516,791.241 1616Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z Z I I N N I I 3 3 9 9 8 8 . . 6 6 5 5 6 6 - - 8 8 4 4 9 9 . . 6 6 2 2 3 3 - - 6 6 4 4 . . 8 8 6 6 3 3 3 31 1 8 8 0 0 1 1 1 1 5 5 4 4 . . 8 8 6 6 3 3 3 3 1 1 8 8 A A Z Z 6 6 4 4 P P B B 6 6 4 4 A A Z Z F F I I N N 1 1 2 2 8 8 . . 9 9 5 5 5 5 5 5 8 8 4 4 . . 4 4 2 2 9 9 7 7 7 7 . . 5 5 5 5 6 6 9 9 9 9 4 4 0 0 9 9 1 1 2 2 . . 4 4 4 4 3 3 0 0 0 0 5 5 9 9 A A Z Z 6 6 3 3 P P B B 6 6 3 3 V V é é r r t t i i c c e e G G M M S S A A Z Z 6 6 4 4 1 1 5 5 4 4 . . 8 8 6 6 3 3 3 3 1 1 8 8 0 0 1 1 5 5 4 4 . . 8 8 6 6 3 3 3 3 1 1 8 8 0 0 A A Z Z 6 6 4 4 - - P P B B 6 6 4 4 9 9 3 3 8 8 . . 5 5 0 0 2 2 8 8 5 5 1 1 9 9 3 3 9 9 8 8 . . 1 1 1 1 9 9 6 6 0 0 1 1 2 2 0 0 2 2 . . 0 0 0 0 9 9 A A Z Z 6 6 4 4 P P B B 6 6 4 4 1 1 5 5 6 6 1 1 2 2 1 1 9 9 1 1 5 5 6 6 . . 2 2 0 0 5 5 2 2 7 7 7 7 8 8 1 1 3 3 1 1 . . 0 0 6 6 8 8 5 5 9 9 5 5 8 8 1 1 5 5 6 6 . . 2 2 0 0 5 5 2 2 9 9 2 2 1 1 3 3 1 1 . . 0 0 6 6 8 8 6 6 1 1 0 0 4 4 P P B B 6 6 4 4 - - P P 3 3 8 8 1 1 7 7 5 5 4 4 . . 9 9 4 4 4 4 1 1 7 7 5 5 4 4 . . 9 9 4 4 4 4 8 8 5 5 1 1 8 8 5 5 4 4 8 8 . . 4 4 9 9 6 6 6 6 0 0 1 1 6 6 0 0 0 0 . . 6 6 6 6 5 5 0 0 . . 0 0 2 2 6 6 - - 0 0 . . 0 0 1 1 7 7 8 8 5 5 1 1 8 8 5 5 4 4 8 8 . . 4 4 9 9 6 6 6 6 0 0 1 1 6 6 0 0 0 0 . . 6 6 6 6 5 5 P P B B 6 6 4 4 P P 3 3 8 8 1 1 5 5 2 2 5 5 6 6 2 2 7 7 . . 5 5 1 1 5 5 2 2 . . 9 9 4 4 0 0 9 9 7 7 2 2 2 2 1 1 0 0 4 4 . . 0 0 0 0 9 9 5 5 6 6 8 8 0 0 1 1 5 5 2 2 . . 9 9 4 4 0 0 9 9 8 8 7 7 1 1 0 0 4 4 . . 0 0 0 0 9 9 5 5 9 9 6 6 9 9 P P 3 3 8 8 - - P P 4 4 1 1 4 4 7 7 5 5 . . 4 4 1 1 2 2 2 2 2 2 3 3 0 0 . . 3 3 5 5 6 6 8 8 5 5 1 1 7 7 3 3 9 9 5 5 . . 5 5 6 6 4 4 6 6 0 0 2 2 9 9 2 2 3 3 . . 7 7 5 5 8 8 0 0 . . 0 0 3 3 3 3 - - 0 0 . . 0 0 2 2 1 1 8 8 5 5 1 1 7 7 3 3 9 9 5 5 . . 5 5 9 9 0 0 6 6 0 0 2 2 9 9 2 2 3 3 . . 7 7 4 4 2 2 P P 3 3 8 8 P P 4 4 1 1 1 1 4 4 5 5 4 4 1 1 4 4 1 1 1 1 4 4 5 5 . . 6 6 9 9 4 4 7 7 2 2 2 2 2 2 6 6 9 9 . . 7 7 0 0 4 42 2 9 9 0 0 2 2 1 1 4 4 5 5 . . 6 6 9 9 4 4 7 7 3 3 6 6 6 6 9 9 . . 7 7 0 0 4 4 3 3 3 3 2 2 7 7 P P 4 4 1 1 - - P P 4 4 2 2 6 6 4 4 2 2 . . 4 4 3 3 6 6 2 2 8 8 7 7 2 2 . . 7 7 9 9 2 2 8 8 5 5 1 1 7 7 2 2 8 8 0 0 . . 4 4 7 7 4 4 6 6 0 0 3 3 3 3 8 8 5 5 . . 0 0 2 2 9 9 0 0 . . 0 0 4 4 2 2 - - 0 0 . . 0 0 2 2 7 7 8 8 5 5 1 1 7 7 2 2 8 8 0 0 . . 5 5 0 0 7 7 6 6 0 0 3 3 3 3 8 8 5 5 . . 0 0 0 0 8 8 P P 4 4 1 1 P P 4 4 2 2 2 2 4 4 7 7 2 2 8 8 4 4 4 4 . . 5 5 2 2 4 4 7 7 . . 4 4 7 7 9 9 0 0 2 2 7 7 8 8 1 1 3 3 7 7 . . 1 1 8 8 3 3 3 3 1 1 8 8 0 0 2 2 4 4 7 7 . . 4 4 7 7 9 9 0 0 5 5 1 1 1 1 3 3 7 7 . . 1 1 8 8 3 3 3 3 8 8 3 3 7 7 P P 4 4 2 2 - - P P 4 4 3 3 5 5 5 5 . . 4 4 5 5 3 3 2 2 9 9 2 2 8 8 . . 2 2 4 4 5 5 8 8 5 5 1 1 7 7 5 5 0 0 3 3 . . 3 3 1 1 2 2 6 6 0 0 3 3 9 9 8 8 7 7 . . 5 5 8 8 0 0 0 0 . . 0 0 4 4 3 3 - - 0 0 . . 0 0 2 2 8 8 8 8 5 5 1 1 7 7 5 5 0 0 3 3 . . 3 3 5 5 5 5 6 6 0 0 3 3 9 9 8 8 7 7 . . 5 5 5 5 3 3 P P 4 4 2 2 P P 4 4 3 3 2 2 0 0 9 9 1 1 2 2 2 2 4 4 . . 5 5 2 2 0 0 9 9 . . 2 2 0 0 6 6 8 8 0 0 5 5 6 6 1 1 6 6 6 6 . . 3 3 9 9 0 0 1 1 2 2 3 3 6 6 2 2 0 0 9 9 . . 2 2 0 0 6 6 8 8 2 2 5 5 1 1 6 6 6 6 . . 3 3 9 9 0 0 2 2 0 0 8 8 8 8 P P 4 4 3 3 - - A A Z Z 6 6 3 3 8 8 9 9 . . 5 5 2 2 4 4 3 3 0 0 1 1 7 7 . . 7 7 6 6 9 9 8 8 5 5 1 1 7 7 4 4 6 6 2 2 . . 6 6 3 3 6 6 6 6 0 0 4 4 0 0 2 2 5 5 . . 2 2 6 6 9 9 0 0 . . 0 0 4 4 4 4 - - 0 0 . . 0 0 2 2 8 8 8 8 5 5 1 1 7 7 4 4 6 6 2 2 . . 6 6 7 7 9 9 6 6 0 0 4 4 0 0 2 2 5 5 . . 2 2 4 4 1 1 P P 4 4 3 3 A A Z Z 6 6 3 3 2 2 0 0 6 6 3 3 1 1 0 0 2 2 0 0 6 6 . . 0 0 5 5 2 2 7 7 7 7 7 7 8 8 1 1 9 9 2 2 . . 4 4 4 4 2 2 9 9 0 0 1 1 4 4 2 2 0 0 6 6 . . 0 0 5 5 2 2 7 7 9 9 7 7 1 1 9 9 2 2 . . 4 4 4 4 3 3 0 0 0 0 5 59 9 A A Z Z 6 6 3 3 - - P P B B 6 6 3 3 5 5 9 9 8 8 . . 4 4 8 8 7 7 8 8 5 5 1 1 7 7 3 3 7 7 5 5 . . 6 6 2 2 6 6 6 6 0 0 4 4 0 0 4 4 6 6 . . 3 3 3 3 4 4 8 8 5 5 1 1 7 7 3 3 7 7 5 5 . . 6 6 7 7 0 0 6 6 0 0 4 4 0 0 4 4 6 6 . . 3 3 0 0 6 6 A A Z Z 6 6 3 3 P P B B 6 6 3 3 1 1 2 2 . . 4 4 4 4 2 2 9 9 0 0 1 1 4 4 1 1 2 2 . . 4 4 4 4 3 3 0 0 0 0 5 5 9 9 8 8 5 5 1 1 6 6 7 7 9 9 1 1 . . 2 2 4 4 1 1 6 6 0 0 3 3 9 9 1 1 7 7 . . 3 3 5 5 1 1 P P B B 6 6 3 3 1 1 1 1 1 1 7 7 . . 5 5 7 7 9 9 5 5 8 8 P P é é r r i i m m . . = = > > 4 4 5 5 5 5 4 4 . . 7 7 5 5 8 8 - - 0 0 . . 0 0 4 4 4 4 0 0 . . 0 0 2 2 8 8 3 3 0 0 1 1 7 7 . . 7 7 6 6 9 9 - - 0 0 . . 0 0 0 0 0 0 1 1 0 0 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) C C o o m m p p r r o o b b a a c c i i o o n n N N r r o o v v e e r r t t i i c c e e s s 6 6 A A D D M M I I S S I I B B L L E E S S 8 8 5 5 1 1 7 7 3 3 7 7 5 5 . . 6 6 7 7 0 0 6 6 0 0 4 4 0 0 4 4 6 6 . . 3 3 0 0 6 6 E E . . L L i i n n e e a a l l 0 0 . . 0 0 5 5 3 3 m m . . E E . . R R e e l l a a t t . . 1 1 / / 5 5 7 7 3 3 1 1 1 1 m m . . 1 1 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 0 0 . . 3 3 8 8 2 2 4 4 . . 4 4 9 9 E E r r r r o o r r A A n n g g . . D D i i s s t t a a n n c c i i a a D D i i s s t t a a n n c c i i a a A A c c u u m m u u l l a a d d a a N N o o r r t t e e E E s s t t e e Á Á n n g g u u l l o o H H o o r r i i z z o o n n t t a a l l Á Á n n g g . . D D e e g g . . A A z z i i m m u u t t Á Á n n g g . . C C o o r r r r . . A A z z i i m m u u t t C C o o r r r r . . N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e S S u u m m A A n n g g . . Y Y C C o o r r r r . . X X C C o o r r r r . . L L a a d d o o 1717Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA CIRCUITO 4 :CIRCUITO 4 : PB63 - AZ63PB63 - AZ63 PPTTO O E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB63PB63 603886.233603886.233 8516775.5438516775.543 -13.41493553-13.41493553 4,114.1494,114.149 -0.222642532-0.222642532 AAZZ6633 660044001177..227777 8517358.9398517358.939 --13.4096563513.40965635 4137.0124137.012 PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB63PB63 0.99973350191900.9997335019190 0.9993513850.999351385 0.999085060.99908506 AZ63AZ63 0.99973383901840.9997338390184 0.9993477830.999347783 0.9990817960.999081796 PROMEDIOPROMEDIO 0.9990834257700.999083425770 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 598.092 598.092 597.933 597.933 598.481598.481 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB 12.6598072312.65980723 -4.299-4.29905E-0505E-05 12.6598072312.65980723 12.6597642412.65976424 12.437121712.4371217 0.2170687230.217068723 1818Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PPTTO O E E ((TTOOPPOO)) NN((TTOOPPOO)) PB63PB63 603917.351603917.351 8516791.2418516791.241 AZ63AZ63 604,046.245604,046.245 8,517,375.6788,517,375.678 PPTTO O E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIDID PB63PB63 660033888866..223333 8516775.5438516775.543 -13.41493553-13.41493553 4,114.1494,114.149 -0.222642532-0.222642532 PB62PB62 605572.639605572.639 8516300.5618516300.561 -13.41917016-13.41917016 4054.2874054.287PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB63PB63 0.99973350191900.9997335019190 0.9993513850.999351385 0.999085060.99908506 PB62PB62 0.99973787148220.9997378714822 0.9993608170.999360817 0.9990988560.999098856 PROMEDIOPROMEDIO 0.9990919567470.999091956747 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 1,752.483 1,752.483 1,752.020 1,752.020 1,753.6121,753.612 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -74.26994506-74.26994506 3.51761E-3.51761E-0505 105.7300549 105.7300549 105.7300901105.7300901 105.5074476105.5074476 1.8414523461.841452346 PPTTO O E E ((TTOOPPOO)) NN((TTOOPPOO)) PB63PB63 660033991177..335511 88551166779911..224411 PB62PB62 605,607.124605,607.124 8,516,322.3898,516,322.389 PPBB663 3 – – AAZZ6622 PPTTO O E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB63PB63 660033888866..223333 88551166777755..55443 3 --1133..441144993355553 3 44,,111144..11449 9 --00..222222664422553322 AAZZ6622 660044883377..771122 8516109.1688516109.168 -13.42092673-13.42092673 4037.7374037.737 PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB63PB63 0.99973350191900.9997335019190 0.9993513850.999351385 0.999085060.99908506 AZ62 0.9997359585469AZ62 0.9997359585469 0.9993634250.999363425 0.9990995510.999099551 PROMEDIOPROMEDIO 0.9990923029870.999092302987 PB63 - PB62PB63 - PB62 PB63 - AZ62PB63 - AZ62 1919Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 1,161.931 1,161.931 1,161.623 1,161.623 1,162.6781,162.678 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -54.9942533-54.9942533 4.92345E-054.92345E-05 125.0057467125.0057467 125.0057959125.0057959 124.7831534124.7831534 2.1778768782.177876878 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB63PB63 603917.351603917.351 88551166779911..224411 AZ62AZ62 604,872.278604,872.278 8,516,127.9658,516,127.965 2020Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z Z I I N N I I - - 1 1 2 2 8 8 . . 8 8 9 9 4 4 - - 5 5 8 8 4 4 . . 4 4 3 3 7 7 7 7 7 7 . . 5 5 6 6 2 2 8 8 6 6 1 1 7 7 9 9 1 1 9 9 2 2 . . 4 4 3 3 7 7 1 1 3 3 8 8 2 2 A A Z Z 6 6 3 3 P P B B 6 6 3 3 A A Z Z F F I I N N - - 7 7 3 3 4 4 . . 8 8 4 4 6 6 - - 1 1 9 9 4 4 . . 4 4 2 2 4 4 1 1 4 4 . . 8 8 1 1 9 9 6 6 2 2 6 6 2 2 3 3 2 2 5 5 5 5 . . 1 1 8 8 0 0 3 3 7 7 3 3 8 8 A A Z Z 6 6 2 2 P P B B 6 6 2 2 V V é é r r t t i i c c e e G G M M S S A A Z Z 6 6 3 3 1 1 9 9 2 2 . . 4 4 3 3 7 7 1 1 3 3 8 8 2 2 1 1 9 9 2 2 . . 4 4 3 3 7 7 1 1 3 3 8 8 2 2 A A Z Z 6 6 3 3 - - P P B B 6 6 3 3 5 5 9 9 8 8 . . 4 4 8 8 2 2 8 8 5 5 1 1 7 7 3 3 7 7 5 5 . . 6 6 7 7 8 8 6 6 0 0 4 4 0 0 4 4 6 6 . . 2 2 4 4 5 5 A A Z Z 6 6 3 3 P P B B 6 6 3 3 1 1 4 4 5 5 3 3 9 9 1 1 9 9 . . 8 8 1 1 4 4 5 5 . . 6 6 5 5 5 5 5 5 0 0 0 0 0 0 1 1 5 5 8 8 . . 0 0 9 9 2 2 6 6 3 3 8 8 2 2 1 1 4 4 5 5 . . 6 6 5 5 4 4 7 7 1 1 1 1 1 1 5 5 8 8 . . 0 0 9 9 1 1 8 8 4 4 9 9 3 3 P P B B 6 6 3 3 - - P P 4 4 6 6 2 2 9 9 1 1 . . 1 1 5 5 1 1 2 2 9 9 1 1 . . 1 1 5 5 1 1 8 8 5 5 1 1 6 6 7 7 9 9 1 1 . . 2 2 4 4 1 1 6 6 0 0 3 3 9 9 1 1 7 7 . . 3 3 5 5 1 1 - - 0 0 . . 0 0 0 0 1 1 - - 0 0 . . 0 0 0 0 2 2 8 8 5 5 1 1 6 6 7 7 9 9 1 1 . . 2 2 4 4 1 1 6 6 0 0 3 3 9 9 1 1 7 7 . . 3 3 5 5 1 1 P P B B 6 6 3 3 P P 4 4 6 6 1 1 3 3 3 3 1 1 4 4 . . 5 5 1 1 3 3 3 3 . . 00 1 1 7 7 9 9 1 1 6 6 7 7 1 1 1 1 1 1 . . 1 1 1 1 0 0 5 5 5 5 4 4 9 9 1 1 3 3 3 3 . . 0 0 1 1 7 7 1 1 9 9 6 6 1 1 1 1 1 1 . . 1 1 0 0 9 9 0 0 4 4 5 5 6 6 P P 4 4 6 6 - - P P 4 4 8 8 6 6 2 2 1 1 . . 7 7 3 3 5 5 9 9 1 1 2 2 . . 8 8 8 8 6 6 8 8 5 5 1 1 6 6 5 5 2 2 1 1 . . 1 1 1 1 6 6 6 6 0 0 4 4 0 0 2 2 5 5 . . 9 9 8 8 5 5 - - 0 0 . . 0 0 0 0 5 5 - - 0 0 . . 0 0 0 0 7 7 8 8 5 5 1 1 6 6 5 5 2 2 1 1 . . 1 1 1 1 5 5 6 6 0 0 4 4 0 0 2 2 5 5 . . 9 9 8 8 3 3 P P 4 4 6 6 P P 4 4 8 8 1 1 9 9 1 1 1 1 9 9 4 4 3 3 1 1 9 9 1 1 . . 3 3 2 2 8 8 6 6 1 1 1 1 1 1 1 1 2 2 2 2 . . 4 4 3 3 9 9 1 1 6 6 6 6 0 0 1 1 9 9 1 1 . . 3 3 2 2 7 7 5 5 7 7 5 5 1 1 2 2 2 2 . . 4 4 3 3 6 6 6 6 2 2 0 0 5 5 P P 4 4 8 8 - - A A Z Z 6 6 2 2 3 3 1 1 5 5 . . 5 5 1 1 3 3 1 1 2 2 2 2 8 8 . . 3 3 9 9 9 9 8 8 5 5 1 1 6 6 2 2 9 9 7 7 . . 2 2 0 0 2 2 6 6 0 0 4 4 6 6 0 0 6 6 . . 0 0 0 0 0 0 - - 0 0 . . 0 0 0 0 6 6 - - 0 0 . . 0 0 1 1 0 0 8 8 5 5 1 1 6 6 2 2 9 9 7 7 . . 1 1 9 9 7 7 6 6 0 0 4 4 6 6 0 0 5 5 . . 9 9 9 9 2 2 P P 4 4 8 8 A A Z Z 6 6 2 2 1 1 3 3 2 2 4 4 4 4 4 4 0 0 . . 1 1 1 1 3 3 2 2 . . 7 7 4 4 4 4 4 4 7 7 2 2 2 2 7 7 5 5 . . 1 1 8 8 3 3 6 6 3 3 8 8 2 2 1 1 3 3 2 2 . . 7 7 4 4 3 3 7 7 5 5 3 3 7 7 5 5 . . 1 1 8 8 0 0 3 3 7 7 3 3 8 8 A A Z Z 6 6 2 2 - - P P B B 6 6 2 2 7 7 6 6 0 0 . . 1 1 3 3 1 1 8 8 5 5 1 1 6 6 1 1 2 2 7 7 . . 9 9 7 7 1 1 6 6 0 0 4 4 8 8 7 7 2 2 . . 2 2 8 8 8 8 8 8 5 5 1 1 6 6 1 1 2 2 7 7 . . 9 9 6 6 5 5 6 6 0 0 4 4 8 8 7 7 2 2 . . 2 2 7 7 8 8 A A Z Z 6 6 2 2 P P B B 6 6 2 2 2 2 5 5 5 5 . . 1 1 8 8 3 3 6 6 3 3 8 8 2 2 2 2 5 5 5 5 . . 1 1 8 8 0 0 3 3 7 7 3 3 8 8 8 8 5 5 1 1 6 6 3 3 2 2 2 2 . . 3 3 8 8 9 9 6 6 0 0 5 5 6 6 0 0 7 7 . . 1 1 2 2 4 4 P P B B 6 6 2 2 6 6 0 0 2 2 . . 7 7 4 4 6 6 5 5 0 0 P P é é r r i i m m . . = = > > 2 2 5 5 8 8 7 7 . . 0 0 1 1 2 2 0 0 . . 00 0 0 6 6 0 0 . . 0 0 1 1 0 0 1 1 2 2 2 2 8 8 . . 3 3 9 9 9 9 0 0 . . 0 0 0 0 3 3 2 2 6 6 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) C C o o m m p p r r o o b b a a c c i i o o n n N N r r o o v v e e r r t t i i c c e e s s 4 4 A A D D M M I I S S I I B B L L E E S S 8 8 5 5 1 1 6 6 1 1 2 2 7 7 . . 9 9 6 6 5 5 6 6 0 0 4 4 8 8 7 7 2 2 . . 2 2 7 7 8 8 E E . . L L i i n n e e a a l l 0 0 . . 0 0 1 1 2 2 m m . . E E . . R R e e l l a a t t . . 1 1 / / 1 1 0 0 3 3 8 8 0 0 6 6 m m . . 1 1 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 1 1 1 1 . . 7 7 5 5 2 2 0 0 . . 0 0 0 0 E E r r r r o o r r A A n n g g . . D D i i s s t t a a n n c c i i a a D D i i s s t t a a n n c c i i a a A A c c u u m m u u l l a a d d a a N N o o r r t t e e E E s s t t e e Á Á n n g g u u l l o o H H o o r r i i z z o o n n t t a a l l Á Á n n g g . . D D e e g g . . A A z z i i m m u u t t Á Á n n g g . . C C o o r r r r . . A A z z i i m m u u t t C C o o r r r r . . N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e S S u u m m A A n n g g . . Y Y C C o o r r r r . . X X C C o o r r r r . . L L a a d d o o 2121Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA CIRCUITO 5 :CIRCUITO 5 : PB62 - AZ62PB62 - AZ62 PPTTO O E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB62PB62 660055557722..663399 8516300.5618516300.561 -13.41917016-13.41917016 44,,005544..228877 --00..222266333311116666 AAZZ6622 660044883377..771122 8516109.1688516109.168 -- 13.4209267313.42092673 4037.7374037.737 PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB62PB62 0.99973787148220.9997378714822 0.9993608170.999360817 0.9990988560.999098856 AZ62AZ62 0.99973595854690.9997359585469 0.9993634250.999363425 0.9990995510.999099551 PROMEDIOPROMEDIO 0.9990992035040.999099203504 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 759.640 759.640 759.440 759.440 760.125760.125 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB 75.4030039175.40300391 1.42934E-051.42934E-05 255.4030039255.4030039 255.4030182255.4030182 255.176687255.176687 4.4536733634.453673363 PPTTO O E E ((TTOOPPOO)) NN((TTOOPPOO)) PB62PB62 605607.124605607.124 8516322.3898516322.389 AZ62AZ62 604,872.297604,872.297 8,516,127.9198,516,127.919 2222Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB62 - AZ61PB62 - AZ61 PB62 - PB61PB62 - PB61 PPTTO O E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB62PB62 605572.639605572.639 8516300.5618516300.561 -13.41917016-13.41917016 4,054.2874,054.287 -0.226331166-0.226331166 AAZZ6611 660088223355..997722 8516036.1238516036.123 -- 13.42146413.4214646464 4155.9144155.914 PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB62PB62 0.99973787148220.9997378714822 0.9993608170.999360817 0.9990988560.999098856 AZ61AZ61 0.99974491569590.9997449156959 0.9993448060.999344806 0.9990898880.999089888 PROMEDIOPROMEDIO 0.9990943718350.999094371835 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 2,677.121 2,677.121 2,676.429 2,676.429 2,678.8552,678.855 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -84.32977924-84.32977924 1.99609E-051.99609E-05 95.6702207695.67022076 95.6702407395.67024073 95.4439095695.44390956 1.6658104731.665810473 PPTTO O E E ((TTOOPPOO)) NN((TTOOPPOO)) PB62PB62 605607.124605607.124 8516322.3898516322.389 AZ61AZ61 608,273.896608,273.896 8,516,068.2438,516,068.243 PPTTO O E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB62PB62 605572.639605572.639 8516300.5618516300.561 -13.41917016-13.41917016 4,054.2874,054.287 -0.226331166-0.226331166 PPBB6611 660088669911..558855 8516015.1778516015.177 -13.42163729-13.42163729 4174.9514174.951 PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB62PB62 0.99973787148220.9997378714822 0.9993608170.999360817 0.9990988560.999098856 PB61PB61 0.99974613832440.9997461383244 0.9993418060.999341806 0.9990881120.999088112 PROMEDIOPROMEDIO 0.9990934834190.999093483419 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 3,132.783 3,132.783 3,131.975 3,131.975 3,134.8173,134.817 2323Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -84.77198577-84.77198577 2.15727E-052.15727E-05 95.2280142395.22801423 95.2280358195.22803581 95.0017046495.00170464 1.6580925411.658092541 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB62PB62 605607.124605607.124 88551166332222..338899 PB61PB61 608,730.004608,730.004 8,516,049.0798,516,049.079 2424Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z ZI I N N I I 7 7 3 3 4 4 . . 8 8 2 2 7 7 1 1 9 9 4 4 . . 4 4 7 7 1 1 4 4 . . 8 8 2 2 3 3 3 3 4 4 4 4 5 5 4 4 7 7 5 5 . . 1 1 7 7 6 6 6 6 5 5 5 5 5 5 A A Z Z 6 6 2 2 P P B B 6 6 2 2 A A Z Z F F I I N N - - 4 4 5 5 6 6 . . 1 1 0 0 8 8 1 1 9 9 . . 1 1 6 6 4 4 - - 2 2 . . 4 4 0 0 5 5 9 9 4 4 5 5 2 2 2 2 6 6 2 2 7 7 2 2 . . 4 4 0 0 5 5 9 9 4 4 5 5 2 2 A A Z Z 6 6 1 1 P P B B 6 6 1 1 V V é é r r t t i i c c e e G G M M S S A A Z Z 6 6 2 2 7 7 5 5 . . 1 1 7 7 6 6 6 6 5 5 5 5 5 5 7 7 5 5 . . 1 1 7 7 6 6 6 6 5 5 5 5 5 5 A A Z Z 6 6 2 2 - - P P B B 6 6 2 2 7 7 6 6 0 0 . . 1 1 2 2 5 5 8 8 5 5 1 1 6 6 1 1 2 2 7 7 . . 9 9 1 1 9 9 6 6 0 0 4 4 8 8 7 7 2 2 . . 2 2 9 9 7 7 A A Z Z 6 6 2 2 P P B B 6 6 2 2 1 1 9 9 1 1 4 4 2 2 3 3 4 4 1 1 9 9 1 1 . . 7 7 0 0 9 9 4 4 4 4 4 4 4 4 8 8 6 6 . . 8 8 8 8 6 6 0 0 9 9 9 9 9 9 1 1 9 9 1 1 . . 7 7 0 0 9 9 5 5 5 5 3 3 8 8 6 6 . . 8 8 8 8 6 6 2 2 0 0 8 8 6 6 P P B B 6 6 2 2 - - P P 5 5 2 2 4 4 3 3 0 0 . . 3 3 0 0 7 7 4 4 3 3 0 0 . . 3 3 0 0 7 7 8 8 5 5 1 1 6 6 3 3 2 2 2 2 . . 3 3 8 8 9 9 6 6 0 0 5 5 6 6 0 0 7 7 . . 1 1 2 2 4 4 - - 0 0 . . 0 0 0 0 3 3 0 0 . . 0 0 0 0 0 0 8 8 5 5 1 1 6 6 3 3 2 2 2 2 . . 3 3 8 8 9 9 6 6 0 0 5 5 6 6 0 0 7 7 . . 1 1 2 2 4 4 P P B B 6 6 2 2 P P 5 5 2 2 1 1 9 9 7 7 3 3 2 2 7 7 1 1 9 9 7 7 . . 0 0 5 5 7 7 5 5 0 0 0 0 0 0 1 1 0 0 3 3 . . 9 9 4 4 3 3 5 5 9 9 9 9 9 9 1 1 9 9 7 7 . . 0 0 5 5 7 7 6 6 1 1 2 2 1 1 0 0 3 3 . . 9 9 4 4 3 3 8 8 2 2 0 0 3 3 P P 5 5 2 2 - - p p 5 5 3 3 3 3 7 7 5 5 . . 2 2 5 5 6 6 8 8 0 0 5 5 . . 5 5 6 6 3 3 8 8 5 5 1 1 6 6 3 3 4 4 5 5 . . 7 7 6 6 3 3 6 6 0 0 6 6 0 0 3 3 6 6 . . 7 7 9 9 6 6 - - 0 0 . . 0 0 0 0 5 5 0 0 . . 0 0 0 0 0 0 8 8 5 5 1 1 6 6 3 3 4 4 5 5 . . 7 7 6 6 0 0 6 6 0 0 6 6 0 0 3 3 6 6 . . 7 7 9 9 6 6 P P 5 5 2 2 p p 5 5 3 3 2 2 1 1 1 1 1 1 3 3 3 3 0 0 2 2 1 1 1 1 . . 2 2 2 2 5 5 0 0 0 0 0 0 0 0 1 1 3 3 5 5 . . 1 1 6 6 8 8 5 5 9 99 9 9 9 2 2 1 1 1 1 . . 2 2 2 2 5 5 1 1 2 2 0 0 1 1 3 3 5 5 . . 1 1 6 6 8 8 9 9 4 4 0 0 0 0 p p 5 5 3 3 - - p p 5 5 4 4 4 4 3 3 0 0 . . 2 2 6 6 4 4 1 1 2 2 3 3 5 5 . . 8 8 2 2 7 7 8 8 5 5 1 1 6 6 2 2 5 5 5 5 . . 3 3 3 3 7 7 6 6 0 0 6 6 4 4 0 0 0 0 . . 9 9 9 9 4 4 - - 0 0 . . 0 0 0 0 8 8 0 0 . . 0 0 0 0 0 0 8 8 5 5 1 1 6 6 2 2 5 5 5 5 . . 3 3 3 3 2 2 6 6 0 0 6 6 4 4 0 0 0 0 . . 9 9 9 9 4 4 p p 5 5 3 3 p p 5 5 4 4 1 1 4 4 3 3 2 2 6 6 3 3 4 4 1 1 4 4 3 3 . . 4 4 4 4 2 2 7 7 7 7 7 7 8 8 9 9 8 8 . . 6 6 1 1 1 1 3 3 7 7 7 7 7 7 1 1 4 4 3 3 . . 4 4 4 4 2 2 8 8 5 5 9 9 9 9 8 8 . . 6 6 1 1 1 1 7 7 9 9 9 9 1 1 p p 5 5 4 4 - - p p 5 5 6 6 4 4 6 6 9 9 . . 8 8 7 7 1 1 1 1 7 7 0 0 5 5 . . 6 6 9 9 8 8 8 8 5 5 1 1 5 5 9 9 5 5 0 0 . . 1 1 9 9 9 9 6 6 0 0 6 6 7 7 0 0 4 4 . . 3 3 3 3 8 8 - - 0 0 . . 0 0 1 1 1 1 0 0 . . 0 0 0 0 0 0 8 8 5 5 1 1 5 5 9 9 5 5 0 0 . . 1 1 9 9 1 1 6 6 0 0 6 6 7 7 0 0 4 4 . . 3 3 3 3 8 8 p p 5 5 4 4 p p 5 5 6 6 7 7 4 4 1 1 8 8 1 1 4 4 7 7 4 4 . . 3 3 0 0 3 3 8 8 8 8 8 8 9 9 3 3 5 5 2 2 . . 9 9 1 1 5 5 2 2 6 6 6 6 6 6 7 7 4 4 . . 3 3 0 0 3 3 9 9 3 3 1 1 3 3 5 5 2 2 . . 9 9 1 1 5 5 7 7 3 3 0 0 1 1 p p 5 5 6 6 - - p p 5 5 8 8 6 6 3 3 7 7 . . 4 4 1 1 2 2 2 2 3 3 4 4 3 3 . . 1 1 1 1 0 0 8 8 5 5 1 1 5 5 8 8 7 7 9 9 . . 8 8 4 4 1 1 6 6 0 0 7 7 1 1 6 6 8 8 . . 9 9 1 1 2 2 - - 0 0 . . 0 0 1 1 6 6 0 0 . . 0 0 0 0 0 0 8 8 5 5 1 1 5 5 8 8 7 7 9 9 . . 8 8 3 3 0 0 6 6 0 0 7 7 1 1 6 6 8 8 . . 9 9 1 1 2 2 p p 5 5 6 6 p p 5 5 8 8 2 2 0 0 0 0 5 5 8 8 1 1 2 2 2 2 0 0 0 0 . . 9 9 7 7 0 0 0 0 0 0 0 0 0 0 3 3 7 7 3 3 . . 8 8 8 8 5 5 2 2 6 6 6 6 6 6 2 2 0 0 0 0 . . 9 9 7 7 0 0 1 1 1 1 4 4 3 3 7 7 3 3 . . 8 8 8 8 5 5 8 8 4 4 4 4 1 1 p p 5 5 8 8 - - p p 5 5 9 9 3 3 5 5 1 1 . . 8 8 2 2 0 0 2 2 6 6 9 9 4 4 . . 9 9 3 3 0 0 8 8 5 51 1 6 6 5 5 1 1 2 2 . . 3 3 8 8 7 7 6 6 0 0 7 7 0 0 9 9 0 0 . . 3 3 0 0 0 0 - - 0 0 . . 0 0 1 1 8 8 0 0 . . 0 0 0 0 0 0 8 8 5 5 1 1 6 6 5 5 1 1 2 2 . . 3 3 7 7 1 1 6 6 0 0 7 7 0 0 9 9 0 0 . . 3 3 0 0 0 0 p p 5 5 8 8 p p 5 5 9 9 2 2 3 3 4 4 1 1 8 8 5 5 3 3 2 2 3 3 4 4 . . 3 3 1 1 4 4 7 7 2 2 2 2 2 2 4 4 2 2 8 8 . . 1 1 9 9 9 9 9 9 8 8 8 8 8 8 2 2 3 3 4 4 . . 3 3 1 1 4 4 8 8 5 5 5 5 4 4 2 2 8 8 . . 2 2 0 0 0 0 6 6 9 9 9 9 1 1 p p 5 5 9 9 - - p p 6 6 0 0 1 1 5 5 4 4 . . 3 3 6 6 6 6 2 2 8 8 4 4 9 9 . . 2 2 9 9 6 6 8 8 5 5 1 1 6 6 8 8 5 5 3 3 . . 9 9 2 2 5 5 6 6 0 0 7 7 1 1 7 7 4 4 . . 7 7 3 3 3 3 - - 0 0 . . 0 0 1 1 9 9 0 0 . . 0 0 0 0 0 0 8 8 5 5 1 1 6 6 8 8 5 5 3 3 . . 9 9 0 0 7 7 6 6 0 0 7 7 1 1 7 7 4 4 . . 7 7 3 3 3 3 p p 5 5 9 9 p p 6 6 0 0 2 2 8 8 4 4 2 2 3 3 1 1 2 2 8 8 4 4 . . 0 0 4 4 1 1 9 9 4 4 4 4 4 4 5 5 3 3 2 2 . . 2 2 4 4 1 1 9 9 3 3 3 3 2 2 2 2 8 8 4 4 . . 0 0 4 4 2 2 1 1 0 0 5 5 5 5 3 3 2 2 . . 2 2 4 4 2 2 8 8 0 0 4 4 5 5 p p 6 6 0 0 - - p p 6 6 1 1 2 2 1 1 7 7 . . 2 2 7 7 7 7 3 3 0 0 6 6 6 6 . . 5 5 7 7 3 3 8 8 5 5 1 1 6 6 9 9 1 1 1 1 . . 2 2 5 5 0 0 6 6 0 0 7 7 3 3 1 1 8 8 . . 0 0 6 6 0 0 - - 0 0 . . 0 0 2 2 1 1 0 0 . . 0 0 0 0 0 0 8 8 5 5 1 1 6 6 9 9 1 1 1 1 . . 2 2 3 3 1 1 6 6 0 0 7 7 3 3 1 1 8 8 . . 0 0 6 6 0 0 p p 6 6 0 0 p p 6 6 1 1 1 1 2 2 4 4 1 1 2 2 1 1 4 4 1 1 2 2 4 4 . . 2 2 0 0 3 3 8 8 8 8 8 8 9 9 4 4 7 7 6 6 . . 4 4 4 4 5 5 8 8 2 2 2 2 1 1 1 1 2 2 4 4 . . 2 2 0 0 3 3 9 9 5 5 9 9 4 4 7 7 6 6 . . 4 4 4 4 6 6 7 7 6 6 3 3 8 8 p p 6 6 1 1 - - p p 6 6 2 2 3 3 5 5 1 1 . . 0 0 5 5 4 4 3 3 4 4 1 1 7 7 . . 6 6 2 2 7 7 8 8 5 5 1 1 6 6 6 6 9 9 5 5 . . 9 9 6 6 1 1 6 6 0 0 7 7 3 3 4 4 7 7 . . 3 3 8 8 7 7 - - 0 0 . . 0 0 2 2 3 3 0 0 . . 0 0 0 0 0 0 8 8 5 5 11 6 6 6 6 9 9 5 5 . . 9 9 4 4 1 1 6 6 0 0 7 7 3 3 4 4 7 7 . . 3 3 8 8 7 7 p p 6 6 1 1 p p 6 6 2 2 2 2 1 1 3 3 3 3 4 4 2 2 5 5 2 2 1 1 3 3 . . 5 5 7 7 3 3 6 6 1 1 1 1 1 1 5 5 1 1 0 0 . . 0 0 1 1 9 9 4 4 3 3 3 3 2 2 2 2 1 1 3 3 . . 5 5 7 7 3 3 7 7 3 3 2 2 5 5 1 1 0 0 . . 0 0 2 2 0 0 4 4 9 9 6 6 0 0 p p 6 6 2 2 - - P P 6 6 3 3 3 3 9 9 9 9 . . 1 1 2 2 8 8 3 3 8 8 1 1 6 6 . . 7 7 5 5 5 5 8 8 5 5 1 1 6 6 5 5 3 3 9 9 . . 6 6 1 1 4 4 6 6 0 0 7 7 6 6 6 6 1 1 . . 7 7 0 0 3 3 - - 0 0 . . 0 0 2 2 6 6 0 0 . . 0 0 0 0 0 0 8 8 5 5 1 1 6 6 5 5 3 3 9 9 . . 5 5 9 9 1 1 6 6 0 0 7 7 6 6 6 6 1 1 . . 7 7 0 0 3 3 p p 6 6 2 2 P P 6 6 3 3 1 1 3 3 6 6 5 5 4 4 2 2 3 3 1 1 3 3 6 6 . . 9 9 0 0 6 6 3 3 8 8 8 8 9 9 4 4 6 6 6 6 . . 9 9 2 2 5 5 8 8 2 2 2 2 1 1 1 1 3 3 6 6 . . 9 9 0 0 6 6 4 4 6 6 7 7 4 4 6 6 6 6 . . 9 9 2 2 6 6 9 9 6 6 2 2 5 5 P P 6 6 3 3 - - A A Z Z 6 6 1 1 4 4 3 3 1 1 . . 4 4 4 4 4 4 4 4 2 2 4 4 8 8 . . 1 1 9 9 9 9 8 8 5 5 1 1 6 6 1 1 9 9 3 3 . . 8 8 8 8 7 7 6 6 0 0 7 7 8 8 6 6 1 1 . . 1 1 4 4 3 3 - - 0 0 . . 0 0 2 2 8 8 0 0 . . 0 0 0 0 0 0 8 8 5 5 1 1 6 6 1 1 9 9 3 3 . . 8 8 6 6 2 2 6 6 0 0 7 7 8 8 6 6 1 1 . . 1 1 4 4 4 4 P P 6 6 3 3 A A Z Z 6 6 1 1 1 1 6 6 5 5 2 2 8 8 4 4 4 4 1 1 6 6 5 5 . . 4 4 7 7 8 8 8 8 8 8 8 8 9 9 4 4 5 5 2 2 . . 4 4 0 0 4 4 7 7 1 1 1 1 0 0 1 1 6 6 5 5 . . 4 4 7 7 8 8 9 9 8 8 3 3 4 4 5 5 2 2 . . 4 4 0 0 5 5 9 9 4 4 5 5 2 2 A A Z Z 6 6 1 1 - - P P B B 6 6 1 1 4 4 5 5 6 6 . . 5 5 1 1 0 0 8 8 5 5 1 1 6 6 0 0 6 6 8 8 . . 2 2 7 7 1 1 6 6 0 0 8 8 2 2 7 7 3 3 . . 8 8 9 9 6 6 8 8 5 5 1 1 6 6 0 0 6 6 8 8 . . 2 2 4 4 3 3 6 6 0 0 8 8 2 2 7 7 3 3 . . 8 8 9 9 6 6 A A Z Z 6 6 1 1 P P B B 6 6 1 1 2 2 7 7 2 2 . . 4 4 0 0 4 4 7 7 1 1 1 1 0 02 2 7 7 2 2 . . 4 4 0 0 5 5 9 9 4 4 5 5 2 2 8 8 5 5 1 1 6 6 0 0 4 4 9 9 . . 0 0 7 7 9 9 6 6 0 0 8 8 7 7 3 3 0 0 . . 0 0 0 0 4 4 P P B B 6 6 1 1 2 2 1 1 7 7 7 7 . . 2 2 2 2 8 8 0 0 6 6 P P é é r r i i m m . . = = > > 5 5 4 4 6 6 4 4 . . 8 8 3 3 4 4 0 0 . . 0 0 2 2 8 8 0 0 . . 0 0 0 0 0 0 4 4 2 2 4 4 8 8 . . 1 1 9 9 9 9 - - 0 0 . . 0 0 0 0 1 1 2 2 3 3 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) C C o o m m p p r r o o b b a a c c i i o o n n N N r r o o v v e e r r t t i i c c e e s s 1 1 2 2 A A D D M M I I S S I I B B L L E E S S 8 8 5 5 1 1 6 6 0 0 6 6 8 8 . . 2 2 4 4 3 3 6 6 0 0 8 8 2 2 7 7 3 3 . . 8 8 9 9 6 6 E E . . L L i i n n e e a a l l 0 0 . . 0 0 2 2 8 8 m m . . E E . . R R e e l l a a t t . . 1 1 / / 1 1 4 4 9 9 0 0 9 9 1 1 m m . . 1 1 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 4 4 . . 4 4 4 4 3 3 4 4 . . 6 6 4 4 L L a a d d o o N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e S S u u m m A A n n g g . . Y Y C C o o r r r r . . X X C C o o r r r r . . E E r r r r o o r r A A n n g g . . D D i i s s t t a a n n c c i i a a D D i i s s t t a a n n c c i i a a A A c c u u m m u u l l a a d d a a N N o o r r t t e e E E s s t t e e Á Á n n g g u u l l o o H H o o r r i i z z o o n n t t a a l l Á Á n n g g . . D D e e g g . . A A z z i i m m u u t t Á Á n n g g . . C C o o r r r r . . A A z z i i m m u u t t C C o o r r r r . . 2525Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA CIRCUITO 6 :CIRCUITO 6 : PB61 - AZ61PB61 - AZ61 PPTTO O E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB61PB61 608691.585608691.585 8516015.1778516015.177 -13.42163729-13.42163729 4,174.9514,174.951 -0.233062825-0.233062825 AAZZ6611 660088223355..997722 8516036.1238516036.123 -13.42146464-13.42146464 4155.9144155.914 PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB61PB61 0.99974613832440.9997461383244 0.9993418060.999341806 0.9990881120.999088112 AZ61AZ61 0.99974491569590.9997449156959 0.9993448060.999344806 0.9990898880.999089888 PROMEDIOPROMEDIO 0.9990890000800.999089000080 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 456.210 456.210 456.094 456.094 456.510456.510 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -87.36778149-87.36778149 -1.61197E-06-1.61197E-06 272.6322185272.6322185 272.6322169272.6322169 272.3991541272.3991541 4.7542621184.754262118 2626Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB61 - PB60PB61 - PB60 PB61 - AZ60PB61 - AZ60 PPTTO O E E ((TTOOPPOO)) NN((TTOOPPOO)) PB61PB61 660088773300..000044 8516049.0798516049.079 AZ61AZ61 608,273.894608,273.894 8,516,068.1898,516,068.189 PPTTO O E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB61PB61 608691.585608691.585 8516015.1778516015.177 -13.42163729-13.42163729 4,174.9514,174.951 -0.233062825-0.233062825 PPBB6600 661111992288..990088 8516977.2838516977.283 --13.4128181213.41281812 4123.1364123.136 PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB61PB61 0.99974613832440.9997461383244 0.9993418060.999341806 0.9990881120.999088112 PB60PB60 0.99975497368830.9997549736883 0.9993499690.999349969 0.9991051020.999105102 PROMEDIOPROMEDIO 0.9990966010800.999096601080 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 3,378.106 3,378.106 3,377.263 3,377.263 3,380.3173,380.317 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) AB 73.44848002AB 73.44848002 -7.4882E-05-7.4882E-05 73.4484800273.44848002 73.4484051473.44840514 73.2153423173.21534231 1.2778487861.277848786 PPTTO O E E ((TTOOPPOO)) NN((TTOOPPOO)) PB61PB61 608730.004608730.004 8516049.0798516049.079 PB60PB60 611,966.309 8,517,025.232611,966.309 8,517,025.232 PPTTO O E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB61PB61 608691.585608691.585 8516015.1778516015.177 -13.42163729-13.42163729 4,174.9514,174.951 -0.233062825-0.233062825 AAZZ6600 661111339999..996677 8516254.8938516254.893 --13.4193691813.41936918 4136.3684136.368 PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB61PB61 0.99974613832440.9997461383244 0.9993418060.999341806 0.9990881120.999088112 AZ60AZ60 0.99975351228480.9997535122848 0.9993478850.999347885 0.9991015580.999101558 PROMEDIOPROMEDIO 0.9990948344590.9990948344592727Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 2,719.650 2,719.650 2,718.970 2,718.970 2,721.4332,721.433 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB 84.9419920984.94199209 -1.86275E-05-1.86275E-05 84.9419920984.94199209 84.9419734684.94197346 84.7089106484.70891064 1.4784493961.478449396 PPTTO O E E ((TTOOPPOO)) NN((TTOOPPOO)) PB61PB61 608730.004608730.004 8516049.0798516049.079 AZ60AZ60 611,439.841611,439.841 8,516,300.0388,516,300.038 2828Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z Z I I N N I I 4 4 5 5 6 6 . . 1 1 1 1 0 0 - - 1 1 9 9 . . 1 1 1 1 - - 2 2 . . 3 3 9 9 9 9 1 1 6 6 3 3 2 2 1 1 9 9 9 9 2 2 . . 3 3 9 9 9 9 1 1 6 6 3 3 2 2 A A Z Z 6 6 1 1 P P B B 6 6 1 1 A A Z Z F F I I N N - - 5 5 2 2 6 6 . . 4 4 6 6 8 8 - - 7 7 2 2 5 5 . . 1 1 9 9 4 4 5 5 4 4 . . 0 0 2 2 1 1 5 5 3 3 2 2 2 2 8 8 2 2 1 1 5 5 . . 9 9 7 7 8 8 4 4 6 6 7 7 7 7 A A Z Z 6 6 0 0 P P B B 6 6 0 0 V V é é r r t t i i c c e e G G M M S S A A Z Z 6 6 1 1 9 9 2 2 . . 3 3 9 9 9 9 1 1 6 6 3 3 2 2 9 9 2 2 . . 3 3 9 9 9 9 1 1 6 6 3 3 2 2 A A Z Z 6 6 1 1 - - P P B B 6 6 1 1 4 4 5 5 6 6 . . 5 5 1 1 0 0 8 8 5 5 1 1 6 6 0 0 6 6 8 8 . . 1 1 8 8 9 9 6 6 0 0 8 8 2 2 7 7 3 3 . . 8 8 9 9 4 4 A A Z Z 6 6 1 1 P P B B 6 6 1 1 2 2 1 1 3 3 4 4 1 1 4 4 4 4 2 2 1 1 3 3 . . 6 6 9 9 5 5 5 5 5 5 5 5 6 6 1 1 2 2 6 6 . . 0 0 9 9 4 4 7 7 1 1 8 8 8 8 2 2 1 1 3 3 . . 6 6 9 9 5 5 0 0 4 4 6 6 1 1 2 2 6 6 . . 0 0 9 9 4 4 2 2 0 0 9 9 5 5 P P B B 6 6 1 1 - - P P 6 6 8 8 2 2 9 9 0 0 . . 1 1 4 4 2 2 2 2 9 9 0 0 . . 1 1 4 4 2 2 8 8 5 5 1 1 6 6 0 0 4 4 9 9 . . 0 0 7 7 9 9 6 6 0 0 8 8 7 7 3 3 0 0 . . 0 0 0 0 4 4 - - 0 0 . . 0 0 0 0 4 4 0 0 . . 0 0 0 0 1 1 8 8 5 5 1 1 6 6 0 0 4 4 9 9 . . 0 0 7 7 9 9 6 6 0 0 8 8 7 7 3 3 0 0 . . 0 0 0 0 4 4 P P B B 6 6 1 1 P P 6 6 8 8 1 1 1 1 7 7 8 8 4 4 4 4 . . 2 2 1 1 1 1 7 7 . . 1 1 4 4 5 5 6 6 1 1 1 1 1 1 6 6 3 3 . . 2 2 4 4 0 0 3 3 2 2 9 9 9 9 1 1 1 1 7 7 . . 1 1 4 4 5 5 3 3 3 3 2 2 6 6 3 3 . . 2 2 3 3 9 9 5 5 4 4 1 1 4 4 P P 6 6 8 8 - - P P 6 6 9 9 2 2 0 0 4 4 . . 8 8 5 5 4 4 4 4 9 9 4 4 . . 9 9 9 9 6 6 8 8 5 5 1 1 5 5 8 8 7 7 8 8 . . 1 1 5 5 2 2 6 6 0 0 8 8 9 9 6 6 4 4 . . 4 4 5 5 3 3 - - 0 0 . . 0 0 0 0 6 6 0 0 . . 0 0 0 0 1 1 8 8 5 5 1 1 5 5 8 8 7 7 8 8 . . 1 1 4 4 8 86 6 0 0 8 8 9 9 6 6 4 4 . . 4 4 5 5 4 4 P P 6 6 8 8 P P 6 6 9 9 2 2 6 6 4 4 5 5 7 7 7 7 2 2 6 6 4 4 . . 9 9 5 5 1 1 9 9 4 4 4 4 4 4 1 1 4 4 8 8 . . 1 1 9 9 2 2 2 2 7 7 4 4 3 3 2 2 6 6 4 4 . . 9 9 5 5 1 1 3 3 1 1 3 3 1 1 4 4 8 8 . . 1 1 9 9 0 0 8 8 5 5 4 4 4 4 P P 6 6 9 9 - - P P 7 7 2 2 8 8 4 4 1 1 . . 5 5 9 9 8 8 1 1 3 3 3 3 6 6 . . 5 5 9 9 4 4 8 8 5 5 1 1 5 5 9 9 7 7 0 0 . . 3 3 9 9 0 0 6 6 0 0 9 9 1 1 4 4 7 7 . . 3 3 6 6 7 7 - - 0 0 . . 0 0 1 1 8 8 0 0 . . 0 0 0 0 3 3 8 8 5 5 1 1 5 5 9 9 7 7 0 0 . . 3 3 8 8 3 3 6 6 0 0 9 9 1 1 4 4 7 7 . . 3 3 6 6 8 8 P P 6 6 9 9 P P 7 7 2 2 9 9 7 7 1 1 0 0 4 4 1 1 9 9 7 7 . . 1 1 7 7 8 8 0 0 5 5 5 5 6 6 6 6 5 5 . . 3 3 7 7 0 0 3 3 2 2 9 9 9 9 9 9 7 7 . . 1 1 7 7 7 7 8 8 2 2 4 4 6 6 5 5 . . 3 3 6 6 8 8 6 6 7 7 8 8 4 4 P P 7 7 2 2 - - P P 7 7 4 4 5 5 2 2 1 1 . . 9 9 1 1 5 5 1 1 8 8 5 5 8 8 . . 5 5 0 0 9 9 8 8 5 5 1 1 5 5 2 2 5 5 5 5 . . 1 1 9 9 3 3 6 6 0 0 9 9 5 5 9 9 0 0 . . 9 9 6 6 6 6 - - 0 0 . . 0 0 2 2 4 4 0 0 . . 0 0 0 0 4 4 8 8 5 5 1 1 5 5 2 2 5 5 5 5 . . 1 1 7 7 5 5 6 6 0 0 9 9 5 5 9 9 0 0 . . 9 9 6 6 9 9 P P 7 7 2 2 P P 7 7 4 4 1 1 6 6 9 9 0 0 2 2 3 3 . . 3 3 1 1 6 6 9 9 . . 0 0 0 0 6 6 4 4 7 7 2 2 2 2 5 5 4 4 . . 3 3 7 7 6 6 8 8 0 0 2 2 1 1 1 1 6 6 9 9 . . 0 0 0 0 6 6 0 0 6 6 9 9 5 5 4 4 . . 3 3 7 7 4 4 7 7 4 4 7 7 8 8 P P 7 7 4 4 - - P P 7 7 5 5 3 3 1 1 8 8 . . 7 7 6 6 4 4 2 2 1 1 7 7 7 7 . . 2 2 7 7 3 3 8 8 5 5 1 1 5 5 4 4 7 7 2 2 . . 7 7 1 1 5 5 6 6 1 1 0 0 0 0 6 6 5 5 . . 3 3 9 9 1 1 - - 0 0 . . 0 0 2 2 9 9 0 0 . . 0 0 0 0 5 5 8 8 5 5 1 1 5 5 4 4 7 7 2 2 . . 6 6 9 9 1 1 6 6 1 1 0 0 0 0 6 6 5 5 . . 3 3 9 9 5 5 P P 7 7 4 4 P P 7 7 5 5 1 1 7 7 8 8 6 6 5 5 2 2 . . 6 6 1 1 7 7 8 8 . . 1 1 1 1 4 4 6 6 1 1 1 1 1 1 5 5 2 2 . . 4 4 9 9 1 1 4 4 1 1 3 3 2 2 1 1 7 7 8 8 . . 1 1 1 1 4 4 1 1 8 8 7 7 5 5 2 2 . . 4 4 8 8 8 8 9 9 3 3 4 4 4 4 P P 7 7 55 - - P P 7 7 6 6 3 3 0 0 9 9 . . 4 4 7 7 1 1 2 2 4 4 8 8 6 6 . . 7 7 4 4 4 4 8 8 5 5 1 1 5 5 6 6 5 5 8 8 . . 3 3 8 8 9 9 6 6 1 1 0 0 3 3 2 2 4 4 . . 4 4 9 9 6 6 - - 0 0 . . 0 0 3 3 3 3 0 0 . . 0 0 0 0 6 6 8 8 5 5 1 1 5 5 6 6 5 5 8 8 . . 3 3 6 6 1 1 6 6 1 1 0 0 3 3 2 2 4 4 . . 5 5 0 0 1 1 P P 7 7 5 5 P P 7 7 6 6 1 1 9 9 2 2 1 1 4 4 7 7 1 1 9 9 2 2 . . 0 0 2 2 9 9 7 7 2 2 2 2 2 2 6 6 4 4 . . 5 5 2 2 1 1 1 1 3 3 5 5 4 4 1 1 9 9 2 2 . . 0 0 2 2 9 9 2 2 6 6 5 5 6 6 4 4 . . 5 5 1 1 8 8 1 1 9 9 9 9 0 0 P P 7 7 6 6 - - P P 7 7 7 7 3 3 5 5 7 7 . . 0 0 6 6 0 0 2 2 8 8 4 4 3 3 . . 8 8 0 0 4 4 8 8 5 5 1 1 5 5 8 8 4 4 6 6 . . 8 8 3 3 1 1 6 6 1 1 0 0 5 5 6 6 9 9 . . 9 9 8 8 0 0 - - 0 0 . . 0 0 3 3 7 7 0 0 . . 0 0 0 0 7 7 8 8 5 5 1 1 5 5 8 8 4 4 6 6 . . 7 7 9 9 8 8 6 6 1 1 0 0 5 5 6 6 9 9 . . 9 9 8 8 5 5 P P 7 7 6 6 P P 7 7 7 7 1 1 7 7 2 2 1 1 5 5 1 1 4 4 . . 5 5 1 1 7 7 2 2 . . 2 2 5 5 4 4 0 0 2 2 7 7 8 8 5 5 6 6 . . 7 7 7 7 5 5 1 1 6 6 3 3 2 2 1 1 7 7 2 2 . . 2 2 5 5 3 3 6 6 1 1 7 7 5 5 6 6 . . 7 7 7 7 1 1 8 8 1 1 6 6 3 3 P P 7 7 7 7 - - P P 7 7 8 8 2 2 9 9 5 5 . . 0 0 3 3 1 1 3 3 1 1 3 3 8 8 . . 8 8 3 3 5 5 8 8 5 5 1 1 6 6 0 0 0 0 0 0 . . 4 4 4 4 7 7 6 6 1 1 0 0 8 8 9 9 2 2 . . 3 3 0 0 6 6 - - 0 0 . . 0 0 4 4 1 1 0 0 . . 0 0 0 0 7 7 8 8 5 5 1 1 6 6 0 0 0 0 0 0 . . 4 4 0 0 9 9 6 6 1 1 0 0 8 8 9 9 2 2 . . 3 3 1 1 2 2 P P 7 7 7 7 P P 7 7 8 8 1 1 9 9 4 4 1 1 2 2 3 3 1 1 . . 5 5 1 1 9 9 4 4 . . 2 2 0 0 8 8 7 7 5 5 0 0 0 0 7 7 0 0 . . 9 9 8 8 3 3 9 9 1 1 3 3 2 2 1 1 9 9 4 4 . . 2 2 0 0 8 8 2 2 8 8 7 7 7 7 0 0 . . 9 9 8 8 0 0 1 1 0 0 3 3 4 4 P P 7 7 8 8 - - P P 7 7 9 9 2 2 5 5 6 6 . . 0 0 8 8 3 3 3 3 3 3 9 9 4 4 . . 9 9 1 1 8 8 8 8 5 5 1 1 6 6 1 1 6 6 2 2 . . 1 1 1 1 6 6 6 6 1 1 1 1 1 1 3 3 9 9 . . 0 0 9 9 8 8 - - 0 0 . . 0 0 4 4 5 5 0 0 . . 0 0 0 0 8 8 8 8 5 5 1 1 6 6 1 1 6 6 2 2 . . 0 0 7 7 5 5 6 6 1 1 1 1 1 1 3 3 9 9 . . 1 10 0 5 5 P P 7 7 8 8 P P 7 7 9 9 1 1 5 5 6 6 6 6 2 2 5 5 1 1 5 5 6 6 . . 1 1 0 0 6 6 9 9 4 4 4 4 4 4 4 4 7 7 . . 0 0 9 9 0 0 8 8 5 5 7 7 6 6 1 1 5 5 6 6 . . 1 1 0 0 6 6 5 5 7 7 2 2 4 4 7 7 . . 0 0 8 8 6 6 6 6 7 7 5 5 8 8 P P 7 7 9 9 - - A A Z Z 6 6 0 0 8 8 0 0 . . 0 0 5 5 8 8 3 3 4 4 7 7 4 4 . . 9 9 7 7 6 6 8 8 5 5 1 1 6 6 2 2 4 4 5 5 . . 5 5 7 7 3 3 6 6 1 1 1 1 3 3 8 8 1 1 . . 2 2 0 0 0 0 - - 0 0 . . 0 0 4 4 6 6 0 0 . . 0 0 0 0 8 8 8 8 5 5 1 1 6 6 2 2 4 4 5 5 . . 5 5 2 2 8 8 6 6 1 1 1 1 3 3 8 8 1 1 . . 2 2 0 0 8 8 P P 7 7 9 9 A A Z Z 6 6 0 0 1 1 6 6 8 8 5 5 3 3 3 3 1 1 . . 9 9 1 1 6 6 8 8 . . 8 8 9 9 2 2 1 1 9 9 4 4 4 4 3 3 5 5 . . 9 9 8 8 3 3 0 0 5 5 2 2 0 0 1 1 6 6 8 8 . . 8 8 9 9 1 1 7 7 9 9 2 2 3 3 5 5 . . 9 9 7 7 8 8 4 4 6 6 7 7 7 7 A A Z Z 6 6 0 0 - - P P B B 6 6 0 0 8 8 9 9 6 6 . . 1 1 4 4 4 4 8 8 5 5 1 1 6 6 3 3 0 0 0 0 . . 0 0 8 8 4 4 6 6 1 1 1 1 4 4 3 3 9 9 . . 8 8 3 3 3 3 8 8 5 5 1 1 6 6 3 3 0 0 0 0 . . 0 0 3 3 8 8 6 6 1 1 1 1 4 4 3 3 9 9 . . 8 8 4 4 1 1 A A Z Z 6 6 0 0 P P B B 6 6 0 0 2 2 1 1 5 5 . . 9 9 8 8 3 3 0 0 5 5 2 2 0 0 2 2 1 1 5 5 . . 9 9 7 7 8 8 4 4 6 6 7 7 7 7 8 8 5 5 1 1 7 7 0 0 2 2 5 5 . . 2 2 3 3 2 2 6 6 1 1 1 1 9 9 6 6 6 6 . . 3 3 0 0 9 9 P P B B 6 6 0 0 1 1 9 9 2 2 3 3 . . 5 5 8 8 3 3 8 8 9 9 P P é é r r i i m m . . = = > > 4 4 8 8 2 2 7 7 . . 6 6 3 3 1 1 0 0 . . 0 0 4 4 6 6 - - 0 0 . . 0 0 0 0 8 8 3 3 4 4 7 7 4 4 . . 9 9 7 7 6 6 0 0 . . 0 0 0 0 4 4 5 5 8 8 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) C C o o m m p p r r o o b b a a c c i i o o n n N N r r o o v v e e r r t t i i c c e e s s 1 1 1 1 A A D D M M I I S S I I B B L L E E S S 8 8 5 5 1 1 6 6 3 3 0 0 0 0 . . 0 0 3 3 8 8 6 6 1 1 1 1 4 4 3 3 9 9 . . 8 8 4 4 1 1 E E . . L L i i n n e e a a l l 0 0 . . 0 0 4 4 6 6 m m . . E E . . R R e e l l a a t t . . 1 1 / / 7 7 5 5 0 0 6 6 7 7 m m . . 1 1 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 1 1 6 6 . . 5 5 0 0 3 3 3 3 . . 1 1 7 7 E E r r r r o o r r A A n n g g . . D Di i s s t t a a n n c c i i a a D D i i s s t t a a n n c c i i a a A A c c u u m m u u l l a a d d a a N N o o r r t t e e E E s s t t e e Á Á n n g g u u l l o o H H o o r r i i z z o o n n t t a a l l Á Á n n g g . . D D e e g g . . A A z z i i m m u u t t Á Á n n g g . . C C o o r r r r . . A A z z i i m m u u t t C C o o r r r r . . N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e S S u u m m A A n n g g . . Y Y C C o o r r r r . . X X C C o o r r r r . . L L a a d d o o 2929Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA CIRCUITO 7 :CIRCUITO 7 : PB60 - AZ60PB60 - AZ60 PPTTO O E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB60PB60 611928.908611928.908 8516977.2838516977.283 -13.41281812-13.41281812 4,123.1364,123.136 -0.239841683-0.239841683 AAZZ6600 661111339999..996677 8516254.8938516254.893 -- 13.4113.41936919369188 4136.3684136.368 PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB60PB60 0.99975497368830.9997549736883 0.9993499690.999349969 0.9991051020.999105102 AZ60AZ60 0.99975351228480.9997535122848 0.9993478850.999347885 0.9991015580.999101558 PROMEDIOPROMEDIO 0.9991033268920.999103326892 3030Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 895.556 895.556 895.336 895.336 896.139896.139 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB 36.2119518536.21195185 5.72398E-055.72398E-05 216.2119518216.2119518 216.2120091216.2120091 215.9721674215.9721674 3.7694254143.769425414 PPTTO O E E ((TTOOPPOO)) NN((TTOOPPOO)) PB60PB60 611966.309611966.309 8517025.2328517025.232 AZ60AZ60 611,439.924611,439.924 8,516,299.9848,516,299.984 PPTTO O E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB60PB60 611928.908611928.908 8516977.2838516977.283 -13.41281812-13.41281812 4,123.1364,123.136 -0.239841683-0.239841683 AZ59AZ59 612632.165612632.165 8519936.0018519936.001 -13.38604184-13.38604184 4059.4144059.414 PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB60PB60 0.99975497368830.9997549736883 0.9993499690.999349969 0.9991051020.999105102 AZ59AZ59 0.99975692772970.9997569277297 0.9993600080.999360008 0.9991170910.999117091 PROMEDIOPROMEDIO 0.9991110420370.999111042037 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 3,041.891 3,041.891 3,041.148 3,041.148 3,043.8543,043.854 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ABAB 13.3705104513.37051045 -0.000235301-0.000235301 13.3705104513.37051045 .37027515.37027515 PPTTO O E E ((TTOOPPOO)) NN((TTOOPPOO)) PB60PB60 611966.309611966.309 8517025.2328517025.232 AZ59AZ59 612,657.777612,657.777 8,519,989.5068,519,989.506 13.1304334713.13043347 0.2291692960.229169296 ZG(RAD)ZG(RAD) PB60 - AZ59PB60 - AZ59 3131Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB60 - PB59PB60 - PB59 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB60PB60 611928.908611928.908 8516977.2838516977.283 -13.41281812-13.41281812 4,123.1364,123.136 -0.239841683-0.239841683 PPBB5599 661133229966..335588 8519261.9748519261.974 -- 13.3921103513.39211035 4026.164026.16 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB60PB60 0.99975497368830.9997549736883 0.9993499690.999349969 0.9991051020.999105102 PB59PB59 0.99975878395190.9997587839519 0.9993652470.999365247 0.9991241840.999124184 PROMEDIOPROMEDIO 0.9991146106430.999114610643 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 2,663.303 2,663.303 2,662.655 2,662.655 2,665.0152,665.015 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB 30.9016736630.90167366 -0.000182055-0.000182055 30.9016736630.90167366 30.9014916130.90149161 30.6616499230.66164992 0.5351467450.535146745 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB60PB60 611966.309611966.309 8517025.2328517025.232 PB59PB59 613,325.379613,325.379 8,519,317.6618,519,317.661 3232Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z Z I I N N I I 5 5 2 2 6 6 . . 3 3 8 8 5 5 7 7 2 2 5 5 . . 2 2 4 4 8 8 5 5 4 4 . . 0 0 2 2 7 7 8 8 5 5 4 4 9 9 8 8 3 3 5 5 . . 9 9 7 7 2 2 1 1 4 4 5 5 A A Z Z 6 6 0 0 P P B B 6 6 0 0 A A Z Z F F I I N N - - 6 6 6 6 7 7 . . 6 6 0 0 2 2 6 6 7 7 1 1 . . 8 8 4 4 5 5 - - 4 4 5 5 . . 1 1 8 8 1 1 4 4 9 9 6 6 6 6 8 8 3 3 1 1 5 5 . . 1 1 8 8 1 1 4 4 9 9 6 6 7 7 A A Z Z 5 5 9 9 P P B B 5 5 9 9 V V é é r r t t i i c c e e G G M M S S A A Z Z 6 6 0 0 3 3 5 5 . . 9 9 7 7 2 2 1 1 4 4 5 5 0 0 3 3 5 5 . . 9 9 7 7 2 2 1 1 4 4 5 5 0 0 A A Z Z 6 6 0 0 - - P P B B 6 6 0 0 8 8 9 9 6 6 . . 1 1 3 3 9 9 8 8 5 5 1 1 6 6 2 2 9 9 9 9 . . 9 9 8 8 4 4 6 6 1 1 1 1 4 4 3 3 9 9 . . 99 2 2 4 4 A A Z Z 6 6 0 0 P P B B 6 6 0 0 1 1 8 8 2 2 1 1 1 1 2 2 8 8 . . 4 4 1 1 8 8 2 2 . . 1 1 9 9 1 1 2 2 2 2 2 2 2 2 3 3 8 8 . . 1 1 6 6 3 3 3 3 6 6 7 7 2 2 1 1 8 8 2 2 . . 1 1 9 9 0 0 7 7 7 7 3 3 3 3 8 8 . . 1 1 6 6 2 2 9 9 1 1 8 8 3 3 P P B B 6 6 0 0 - - P P 8 8 4 4 4 4 2 2 3 3 . . 3 3 7 7 9 9 4 4 2 2 3 3 . . 3 3 7 7 9 9 8 8 5 5 1 1 7 7 0 0 2 2 5 5 . . 2 2 3 3 2 2 6 6 1 1 1 1 9 9 6 6 6 6 . . 3 3 0 0 9 9 - - 0 0 . . 0 0 0 0 1 1 - - 0 0 . . 0 0 0 0 4 4 8 8 5 5 1 1 7 7 0 0 2 2 5 5 . . 2 2 3 3 2 2 6 6 1 1 1 1 9 9 6 6 6 6 . . 3 3 0 0 9 9 P P B B 6 6 0 0 P P 8 8 4 4 2 2 1 1 1 1 5 5 9 9 5 5 8 8 . . 9 9 2 2 1 1 1 1 . . 9 9 9 9 9 9 6 6 9 9 4 4 4 4 7 7 0 0 . . 1 1 6 6 3 3 0 0 6 6 1 1 6 6 2 2 1 1 1 1 . . 9 9 9 9 9 9 1 1 7 7 2 2 7 7 0 0 . . 1 1 6 6 2 2 0 0 9 9 0 0 4 4 P P 8 8 4 4 - - P P 8 8 5 5 3 3 1 1 7 7 . . 1 1 8 8 4 4 7 7 4 4 0 0 . . 5 5 6 6 3 3 8 8 5 5 1 1 7 7 3 3 5 5 8 8 . . 1 1 1 1 7 7 6 6 1 1 2 2 2 2 2 2 7 7 . . 9 9 1 1 5 5 - - 0 0 . . 0 0 0 0 1 1 - - 0 0 . . 0 0 0 0 7 7 8 8 5 5 1 1 7 7 3 3 5 5 8 8 . . 1 1 1 1 6 6 6 6 1 1 2 2 2 2 2 2 7 7 . . 9 9 1 1 1 1 P P 8 8 4 4 P P 8 8 5 5 1 1 6 6 7 7 1 1 2 2 4 4 7 7 1 1 6 6 7 7 . . 2 2 1 1 3 3 0 0 5 5 5 5 6 6 5 5 7 7 . . 3 3 7 7 6 6 1 1 1 1 7 7 2 2 1 1 6 6 7 7 . . 2 2 1 1 2 2 6 6 4 4 4 4 5 5 7 7 . . 3 3 7 7 4 4 7 7 3 3 4 4 1 1 P P 8 8 5 5 - - P P 8 8 7 7 4 4 9 9 8 8 . . 0 0 1 1 2 2 1 1 2 2 3 3 8 8 . . 5 5 7 7 5 5 8 8 5 5 1 1 7 7 4 4 6 6 5 5 . . 7 7 5 5 6 6 6 6 1 1 2 2 5 5 2 2 6 6 . . 2 2 7 7 6 6 - - 0 0 . . 0 0 0 0 2 2 - - 0 0 . . 0 0 1 1 2 2 8 8 5 5 1 1 7 7 4 4 6 6 5 5 . . 7 7 5 5 5 5 6 6 1 1 2 2 5 5 2 2 6 6 . . 2 2 6 6 9 9 P P 8 8 5 5 P P 8 8 7 7 9 9 4 4 3 3 9 9 9 9 4 4 . . 0 0 5 5 2 2 5 5 0 0 0 0 0 0 3 3 3 3 1 1 . . 4 4 2 2 8 8 6 6 1 1 7 7 2 2 9 9 4 4 . . 0 0 5 5 2 2 2 2 6 6 8 8 3 3 3 3 1 1 . . 4 4 2 2 7 7 0 0 0 0 2 2 4 4 P P 8 8 7 7 - - P P 8 8 8 8 5 5 0 0 1 1 . . 8 8 9 9 1 1 1 1 7 7 4 4 0 0 . . 4 4 6 6 6 6 8 8 5 5 1 1 7 7 7 7 3 3 4 4 . . 2 2 5 5 6 6 6 6 1 1 2 2 9 9 4 4 5 5 . .7 7 0 0 9 9 - - 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 1 1 6 6 8 8 5 5 1 1 7 7 7 7 3 3 4 4 . . 2 2 5 5 4 4 6 6 1 1 2 2 9 9 4 4 5 5 . . 6 6 9 9 7 7 P P 8 8 7 7 P P 8 8 8 8 1 1 9 9 5 5 6 6 4 4 0 0 1 1 9 9 5 5 . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 4 4 6 6 . . 5 5 3 3 9 9 7 7 2 2 8 8 3 3 1 1 9 9 5 5 . . 1 1 1 1 0 0 6 6 3 3 0 0 3 3 4 4 6 6 . . 5 5 3 3 7 7 6 6 3 3 2 2 8 8 P P 8 8 8 8 - - P P 9 9 0 0 3 3 3 3 1 1 . . 0 0 3 3 9 9 2 2 0 0 7 7 1 1 . . 5 5 0 0 5 5 8 8 5 5 1 1 8 8 1 1 7 7 5 5 . . 0 0 2 2 1 1 6 6 1 1 2 2 7 7 0 0 5 5 . . 6 6 6 6 6 6 - - 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 2 2 0 0 8 8 5 5 1 1 8 8 1 1 7 7 5 5 . . 0 0 1 1 8 8 6 6 1 1 2 2 7 7 0 0 5 5 . . 6 6 4 4 9 9 P P 8 8 8 8 P P 9 9 0 0 1 1 9 9 6 6 4 4 9 9 1 1 7 7 . . 5 5 1 1 9 9 6 6 . . 8 8 2 2 1 1 5 5 2 2 7 7 8 8 3 3 6 6 3 3 . . 3 3 6 6 1 1 2 2 5 5 6 6 1 1 1 1 9 9 6 6 . . 8 8 2 2 1 1 0 0 4 4 3 3 3 3 6 6 3 3 . . 3 3 5 5 8 8 6 6 7 7 5 5 6 6 P P 9 9 0 0 - - P P 9 9 1 1 2 2 8 8 8 8 . . 0 0 9 9 7 7 2 2 3 3 5 5 9 9 . . 6 6 0 0 2 2 8 8 5 5 1 1 8 8 4 4 9 9 6 6 . . 9 9 6 6 4 4 6 6 1 1 2 2 6 6 2 2 8 8 . . 5 5 9 9 7 7 - - 0 0 . . 0 0 0 0 4 4 - - 0 0 . . 0 0 2 2 2 2 8 8 5 5 1 1 8 8 4 4 9 9 6 6 . . 9 9 6 6 0 0 6 6 1 1 2 2 6 6 2 2 8 8 . . 5 5 7 7 8 8 P P 9 9 0 0 P P 9 9 1 1 1 1 8 8 8 8 5 5 1 1 0 0 1 1 8 8 8 8 . . 8 8 5 5 0 0 0 0 0 0 0 0 0 0 3 3 7 7 2 2 . . 2 2 1 1 1 1 2 2 5 5 6 6 1 1 1 1 8 8 8 8 . . 8 8 4 4 9 9 5 5 3 3 5 5 3 3 7 7 2 2 . . 2 2 0 0 8 8 2 2 1 1 0 0 4 4 P P 9 9 1 1 - - P P 9 9 2 2 2 2 0 0 1 1 . . 9 9 8 8 4 4 2 2 5 5 6 6 1 1 . . 5 5 8 8 6 6 8 8 5 5 1 1 8 8 7 7 8 8 4 4 . . 5 5 6 6 6 6 6 6 1 1 2 2 6 6 4 4 5 5 . . 4 4 7 7 6 6 - - 0 0 . . 0 0 0 0 4 4 - - 0 0 . . 0 0 2 2 4 4 8 8 5 5 1 1 8 8 7 7 8 8 4 4 . . 5 5 6 6 2 2 6 6 1 1 2 2 6 6 4 4 5 5 . . 4 4 5 5 4 4 P P 9 9 1 1 P P 9 9 2 2 1 1 3 3 1 1 4 4 1 1 1 1 7 7 1 1 3 3 1 1 . . 6 6 8 8 8 8 0 0 5 5 5 5 6 6 3 3 2 2 3 3 . . 8 8 9 9 9 9 3 3 1 1 1 1 7 7 1 1 3 3 1 1 . . 6 6 8 8 7 7 7 7 3 3 1 1 3 3 2 2 3 3 . . 8 8 9 9 5 5 9 9 4 4 1 1 5 5 P P 9 92 2 - - P P 9 9 3 3 2 2 4 4 1 1 . . 3 3 9 9 7 7 2 2 8 8 0 0 2 2 . . 9 9 8 8 3 3 8 8 5 5 1 1 8 8 9 9 8 8 1 1 . . 9 9 8 8 2 2 6 6 1 1 2 2 6 6 8 8 8 8 . . 1 1 8 8 9 9 - - 0 0 . . 0 0 0 0 4 4 - - 0 0 . . 0 0 2 2 6 6 8 8 5 5 1 1 8 8 9 9 8 8 1 1 . . 9 9 7 7 8 8 6 6 1 1 2 2 6 6 8 8 8 8 . . 1 1 6 6 4 4 P P 9 9 2 2 P P 9 9 3 3 2 2 0 0 7 7 5 5 1 1 5 5 6 6 2 2 0 0 7 7 . . 8 8 6 6 5 5 5 5 5 5 5 5 6 6 3 3 5 5 1 1 . . 7 7 6 6 4 4 8 8 6 6 7 7 3 3 2 2 0 0 7 7 . . 8 8 6 6 5 5 0 0 4 4 3 3 3 3 5 5 1 1 . . 7 7 6 6 0 0 9 9 8 8 5 5 0 0 P P 9 9 3 3 - - P P 9 9 4 4 2 2 0 0 9 9 . . 1 1 6 6 1 1 3 3 0 0 1 1 2 2 . . 1 1 4 4 4 4 8 8 5 5 1 1 9 9 1 1 7 7 7 7 . . 0 0 1 1 8 8 6 6 1 1 2 2 5 5 4 4 5 5 . . 9 9 4 4 4 4 - - 0 0 . . 0 0 0 0 5 5 - - 0 0 . . 0 0 2 2 8 8 8 8 5 5 1 1 9 9 1 1 7 7 7 7 . . 0 0 1 1 4 4 6 6 1 1 2 2 5 5 4 4 5 5 . . 9 9 1 1 8 8 P P 9 9 3 3 P P 9 9 4 4 1 1 9 9 6 6 2 2 2 2 2 2 1 1 1 1 9 9 6 6 . . 3 3 7 7 2 2 5 5 0 0 0 0 0 0 3 3 6 6 8 8 . . 1 1 3 3 7 7 3 3 6 6 7 7 3 3 1 1 9 9 6 6 . . 3 3 7 7 2 2 0 0 1 1 6 6 3 3 6 6 8 8 . . 1 1 3 3 3 3 0 0 0 0 1 1 2 2 P P 9 9 4 4 - - P P 9 9 5 5 2 2 5 5 1 1 . . 5 5 9 9 3 3 3 3 2 2 6 6 3 3 . . 7 7 3 3 7 7 8 8 5 5 1 1 9 9 3 3 8 8 4 4 . . 0 0 2 2 1 1 6 6 1 1 2 2 5 5 1 1 5 5 . . 9 9 7 7 1 1 - - 0 0 . . 0 0 0 0 5 5 - - 0 0 . . 0 0 3 3 1 1 8 8 5 5 1 1 9 9 3 3 8 8 4 4 . . 0 0 1 1 6 6 6 6 1 1 2 2 5 5 1 1 5 5 . . 9 9 4 4 3 3 P P 9 9 4 4 P P 9 9 5 5 1 1 8 8 9 9 2 2 9 9 1 1 4 4 1 1 8 8 9 9 . . 4 4 8 8 7 7 2 2 2 2 2 2 2 2 3 3 7 7 7 7 . . 6 6 2 2 4 4 5 5 8 8 9 9 5 5 1 1 8 8 9 9 . . 4 4 8 8 6 6 7 7 5 5 5 5 3 3 7 7 7 7 . . 6 6 1 1 9 9 7 7 5 5 6 6 6 6 P P 9 9 5 5 - - P P 9 9 6 6 1 1 9 9 3 3 . . 1 1 6 6 3 3 3 3 4 4 5 5 6 6 . . 9 9 0 0 0 0 8 8 5 5 1 1 9 9 6 6 3 3 3 3 . . 0 0 8 8 3 3 6 6 1 1 2 2 5 5 5 5 1 1 . . 5 5 6 6 4 4 - - 0 0 . . 0 0 0 0 6 6 - - 0 0 . . 0 0 3 3 3 3 8 8 5 5 1 1 9 9 6 6 3 3 3 3 . . 0 0 7 7 8 8 6 6 1 1 2 2 5 5 5 5 1 1 . . 5 5 3 3 4 4 P P 9 9 5 5 P P 9 9 6 6 1 1 7 7 7 7 5 5 2 2 3 3 5 5 1 1 7 7 7 7 . . 8 8 7 7 6 6 3 3 8 8 8 8 9 9 3 3 7 7 5 5 .. 5 5 0 0 0 0 9 9 7 7 8 8 4 4 1 1 7 7 7 7 . . 8 8 7 7 5 5 9 9 5 5 1 1 3 3 7 7 5 5 . . 4 4 9 9 5 5 7 7 0 0 7 7 2 2 P P 9 9 6 6 - - A A Z Z 5 5 9 9 1 1 7 7 8 8 . . 8 8 2 2 8 8 3 3 6 6 3 3 5 5 . . 7 7 2 2 8 8 8 8 5 5 1 1 9 9 8 8 1 1 7 7 . . 1 1 8 8 4 4 6 6 1 1 2 2 6 6 1 1 0 0 . . 0 0 3 3 4 4 - - 0 0 . . 0 0 0 0 6 6 - - 0 0 . . 0 0 3 3 4 4 8 8 5 5 1 1 9 9 8 8 1 1 7 7 . . 1 1 7 7 9 9 6 6 1 1 2 2 6 6 1 1 0 0 . . 0 0 0 0 2 2 P P 9 9 6 6 A A Z Z 5 5 9 9 2 2 9 9 9 9 4 4 1 1 1 1 1 1 . . 5 5 2 2 9 9 9 9 . . 6 6 8 8 6 6 5 5 2 2 7 7 8 8 4 4 9 9 5 5 . . 1 1 8 8 7 7 5 5 0 0 6 6 2 2 2 2 9 9 9 9 . . 6 6 8 8 5 5 7 7 8 8 9 9 4 4 9 9 5 5 . . 1 1 8 8 1 1 4 4 9 9 6 6 7 7 A A Z Z 5 5 9 9 - - P P B B 5 5 9 9 9 9 4 4 7 7 . . 1 1 3 3 7 7 8 8 5 5 1 1 9 9 9 9 8 8 9 9 . . 5 5 1 1 2 2 6 6 1 1 2 2 6 6 5 5 7 7 . . 8 8 1 1 1 1 8 8 5 5 1 1 9 9 9 9 8 8 9 9 . . 5 5 0 0 6 6 6 6 1 1 2 2 6 6 5 5 7 7 . . 7 7 7 7 7 7 A A Z Z 5 5 9 9 P P B B 5 5 9 9 3 3 1 1 5 5 . . 1 1 8 8 7 7 5 5 0 0 6 6 2 2 3 3 1 1 5 5 . . 1 1 8 8 1 1 4 4 9 9 6 6 7 7 8 8 5 5 1 1 9 9 3 3 1 1 7 7 . . 6 6 6 6 1 1 6 6 1 1 3 3 3 3 2 2 5 5 . . 3 3 7 7 9 9 P P B B 5 5 9 9 2 2 4 4 3 3 9 9 . . 2 2 1 1 5 5 3 3 6 6 P P é é r r i i m m . . = = > > 5 5 4 4 7 7 9 9 . . 0 0 0 0 4 4 0 0 . . 0 0 0 0 6 6 0 0 . . 0 0 3 3 4 4 3 3 6 6 3 3 5 5 . . 7 7 2 2 8 8 0 0 . . 0 0 0 0 6 6 0 0 1 1 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) C C o o m m p p r r o o b b a a c c i i o o n n N N r r o o v v e e r r t t i i c c e e s s 1 1 3 3 A A D D M M I I S S I I B B L L E E S S 8 8 5 5 1 1 9 9 9 9 8 8 9 9 . . 5 5 0 0 6 6 6 6 1 1 2 2 6 6 5 5 7 7 . . 7 7 7 7 7 7 E E . . L L i i n n e e a a l l 0 0 . . 0 0 3 3 5 5 m m . . E E . . R R e e l l a a t t . . 1 1 / / 1 1 0 0 4 4 5 5 9 9 5 5 m m . . 1 1 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 2 2 1 1 . . 6 6 3 3 3 3 6 6 . . 0 0 6 6 E E r r r r o o r r A A n n g g . . D D i i s s t t a a n n c c i i a a D D i i s s t t a a n n c c i i a a A A c c u u m m u u l l a a d d a a N N o o r r t t e e E E s s t t e e Á Á n n g g u u l l o o H H o o r r i i z z o o n n t t a a l l Á Á n n g g . . D D e e g g . . A A z z i i m m u u t t Á Á n n g g . . C C o o r r r r . . A A z z i i m m u u t t C C o o r r r r . . N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e S S u u m m A A n n g g . . Y Y C C o o r r r r . . X X C C o o r r r r .. L L a a d d o o 3333Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA CIRCUITO 8 :CIRCUITO 8 : PB59 - AZ59PB59 - AZ59 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB59PB59 613296.358613296.358 8519261.9748519261.974 -13.39211035-13.39211035 4,026.1604,026.160 -0.242383494-0.242383494 AAZZ5599 661122663322..116655 88 51993519936.0016.001 -13.38604184-13.38604184 4059.4144059.414 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB59 0.9997587839519PB59 0.9997587839519 0.9993652470.999365247 0.9991241840.999124184 AZ59AZ59 0.99975692772970.9997569277297 0.9993600080.999360008 0.9991170910.999117091 PROMEDIOPROMEDIO 0.9991206348400.999120634840 3434Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 946.519 946.519 946.290 946.290 947.123947.123 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -44.57896568-44.57896568 -5.40398E-05-5.40398E-05 315.4210343315.4210343 315.4209803315.4209803 315.1785968315.1785968 5.5009042465.500904246 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB59PB59 661133332255..337799 8519317.6618519317.661 AZ59AZ59 612,657.753612,657.753 8,519,989.4628,519,989.462 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB59PB59 661133229966..335588 8519261.9748519261.974 -13.39211035-13.39211035 4,026.160 -0.2423834944,026.160 -0.242383494 PB58PB58 613725.28613725.28 8521387.0828521387.082 -13.37288098-13.37288098 3820.2423820.242 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB59PB59 0.99975878395190.9997587839519 0.9993652470.999365247 0.9991241840.999124184 PB58PB58 0.99975998885090.9997599888509 0.9993976910.999397691 0.9991578250.999157825 PROMEDIOPROMEDIO 0.9991409761120.999140976112 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 2,168.484 2,168.484 2,167.962 2,167.962 2,169.8262,169.826 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ABAB 11.4110121211.41101212 -0.000170928-0.000170928 11.4110121211.41101212 11.4108411911.41084119 11.168457711.1684577 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB59PB59 613325.379613325.379 8519317.6618519317.661 PB58PB58 613,745.662613,745.662 8,521,446.3948,521,446.394 ZF(RAD)ZF(RAD) 0.1949263590.194926359 PB59 - PB58PB59 - PB58 3535Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB59 - AZ58PB59 - AZ58 PB59PB59 613296.358613296.358 8519261.9748519261.974 -13.39211035-13.39211035 4,026.1604,026.160 -0.242383494-0.242383494 AAZZ5588 661133446655..443388 8520812.5838520812.583 -13.37808494-13.37808494 3848.13848.1 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB59PB59 0.99975878395190.9997587839519 0.9993652470.999365247 0.90.99912418499124184 AZ58AZ58 0.99975925848400.9997592584840 0.9993933020.999393302 0.9991527070.999152707 PROMEDIOPROMEDIO 0.9991384302990.999138430299 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 1,560.176 1,560.176 1,559.800 1,559.800 1,561.1451,561.145 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB 6.2230047086.223004708 -0.000124625-0.000124625 6.2230047086.223004708 6.2228800836.222880083 5.9804965895.980496589 0.1043793560.104379356 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB59PB59 613325.379613325.379 8519317.6618519317.661 AZ58AZ58 613,488.035613,488.035 8,520,870.3098,520,870.309 3636Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z Z I I N N I I 6 6 6 6 7 7 . . 6 6 2 2 6 6 - - 6 6 7 7 1 1 . . 8 8 0 0 1 1 - - 4 4 5 5 . . 1 1 7 7 8 8 5 5 9 9 0 0 6 6 2 2 1 1 3 3 5 5 . . 1 1 7 7 8 8 5 5 9 9 0 0 6 6 A A Z Z 5 5 9 9 P P B B 5 5 9 9 A A Z Z F F I I N N - - 2 2 5 5 7 7 . . 6 6 2 2 7 7 - - 5 5 7 7 6 6 . . 0 0 8 8 5 5 6 6 5 5 . . 9 9 0 0 5 5 6 6 5 5 8 8 4 4 2 2 0 0 4 4 . . 0 0 9 9 4 4 3 3 4 4 1 1 6 6 A A Z Z 5 5 8 8 P P B B 5 5 8 8 V V é é r r t t i i c c e e G G M M S S A A Z Z 5 5 9 9 1 1 3 3 5 5 . . 1 1 7 7 8 8 5 5 9 9 0 0 6 6 1 1 3 3 5 5 . . 1 1 7 7 8 8 5 5 9 9 0 0 6 6 A A Z Z 5 5 9 9 - - P P B B 5 5 9 9 9 9 4 4 7 7 . . 1 1 2 2 3 3 8 8 5 5 1 1 9 9 9 9 8 8 9 9 . . 4 4 6 6 2 2 6 6 1 1 2 2 6 6 5 5 7 7 . . 7 7 5 5 3 3 A A Z Z 5 5 9 9 P P B B 5 5 9 9 1 1 9 9 1 1 5 5 2 2 5 5 1 1 9 9 1 1 . . 0 0 9 9 0 0 2 2 7 7 7 7 8 8 1 1 4 4 6 6 . . 2 2 6 6 8 8 8 8 6 6 8 8 4 4 1 1 9 9 1 1 . . 0 0 9 9 0 0 0 0 9 9 9 9 1 1 4 4 6 6 . . 2 2 6 6 8 8 6 6 8 8 9 9 6 6 P P B B 5 5 9 9 - - P P 1 1 0 0 2 2 1 1 9 9 . . 5 5 7 7 8 8 1 1 99 . . 5 5 7 7 8 8 8 8 5 5 1 1 9 9 3 3 1 1 7 7 . . 6 6 6 6 1 1 6 6 1 1 3 3 3 3 2 2 5 5 . . 3 3 7 7 9 9 0 0 . . 0 0 0 0 0 0 0 0 . . 0 0 0 0 0 0 8 8 5 5 1 1 9 9 3 3 1 1 7 7 . . 6 6 6 6 1 1 6 6 1 1 3 3 3 3 2 2 5 5 . . 3 3 7 7 9 9 P P B B 5 5 9 9 P P 1 1 0 0 2 2 1 1 6 6 0 0 5 5 7 7 1 1 3 3 1 1 6 6 0 0 . . 9 9 5 5 3 3 6 6 1 1 1 1 1 1 1 1 2 2 7 7 . . 2 2 2 2 2 2 4 4 7 7 9 9 5 5 1 1 6 6 0 0 . . 9 9 5 5 3 3 4 4 6 6 0 0 1 1 2 2 7 7 . . 2 2 2 2 2 2 1 1 5 5 0 0 0 0 P P 1 1 0 0 2 2 - - P P 1 1 0 0 3 3 2 2 7 7 3 3 . . 3 3 1 1 9 9 2 2 9 9 2 2 . . 8 8 9 9 7 7 8 8 5 5 1 1 9 9 3 3 0 0 1 1 . . 3 3 7 7 9 9 6 6 1 1 3 3 3 3 3 3 6 6 . . 2 2 5 5 1 1 - - 0 0 . . 0 0 0 0 2 2 0 0 . . 0 0 0 0 5 5 8 8 5 5 1 1 9 9 3 3 0 0 1 1 . . 3 3 7 7 9 9 6 6 1 1 3 3 3 3 3 3 6 6 . . 2 2 5 5 1 1 P P 1 1 0 0 2 2 P P 1 1 0 0 3 3 1 1 8 8 0 0 4 4 5 5 3 3 8 8 1 1 8 8 0 0 . . 7 7 6 6 0 0 5 5 5 5 5 5 6 6 1 1 2 2 7 7 . . 9 9 8 8 3 3 0 0 3 3 5 5 1 1 1 1 8 8 0 0 . . 7 7 6 6 0 0 3 3 8 8 6 6 1 1 2 2 7 7 . . 9 9 8 8 2 2 5 5 3 3 6 6 5 5 P P 1 1 0 0 3 3 - - P P 1 1 0 0 4 4 1 1 1 1 6 6 . . 3 3 1 1 0 0 4 4 0 0 9 9 . . 2 2 0 0 7 7 8 8 5 5 1 1 9 9 1 1 3 3 6 6 . . 0 0 4 4 6 6 6 6 1 1 3 3 5 5 5 5 3 3 . . 8 8 9 9 4 4 - - 0 0 . . 0 0 0 0 3 3 0 0 . . 0 0 0 0 7 7 8 8 5 5 1 1 9 9 1 1 3 3 6 6 . . 0 0 4 4 4 4 6 6 1 1 3 3 5 5 5 5 3 3 . . 8 8 9 9 8 8 P P 1 1 0 0 3 3 P P 1 1 0 0 4 4 1 1 9 9 4 4 3 3 8 8 3 3 7 7 1 1 9 9 4 4 . . 6 6 4 4 3 3 6 6 1 1 1 1 1 1 1 1 4 4 2 2 . . 6 6 2 2 6 6 6 6 4 4 6 6 2 2 1 1 9 9 4 4 . . 6 6 4 4 3 3 4 4 2 2 9 9 1 1 4 4 2 2 . . 6 6 2 2 5 5 9 9 6 6 5 5 4 4 P P 1 1 0 0 4 4 - - P P 1 1 0 0 5 5 1 1 8 8 1 1 . . 4 4 0 0 1 1 5 5 9 9 0 0 . . 6 6 0 0 8 8 8 8 5 5 1 1 9 9 0 0 6 6 4 4 . . 4 4 6 6 7 7 6 6 1 1 3 3 6 6 4 4 5 5 . . 5 5 6 6 9 9 - - 0 0 . . 0 0 0 0 5 5 0 0 . . 0 0 1 1 0 0 8 8 5 5 1 1 9 9 0 0 6 6 4 4 . . 4 4 6 6 3 3 6 6 1 1 3 3 6 6 4 4 5 5 . . 5 5 7 7 6 6 P P 1 1 0 0 4 4P P 1 1 0 0 5 5 1 1 3 3 9 9 5 5 3 3 1 1 0 0 1 1 3 3 9 9 . . 8 8 8 8 6 6 1 1 1 1 1 1 1 1 1 1 0 0 2 2 . . 5 5 1 1 2 2 7 7 5 5 7 7 3 3 1 1 3 3 9 9 . . 8 8 8 8 5 5 9 9 8 8 0 0 1 1 0 0 2 2 . . 5 5 1 1 1 1 9 9 4 4 5 5 6 6 P P 1 1 0 0 5 5 - - P P 1 1 0 0 8 8 1 1 0 0 7 7 . . 2 2 1 1 5 5 6 6 9 9 7 7 . . 8 8 2 2 3 3 8 8 5 5 1 1 8 8 9 9 2 2 0 0 . . 3 3 0 0 9 9 6 6 1 1 3 3 7 7 5 5 5 5 . . 6 6 8 8 2 2 - - 0 0 . . 0 0 0 0 6 6 0 0 . . 0 0 1 1 1 1 8 8 5 5 1 1 8 8 9 9 2 2 0 0 . . 3 3 0 0 5 5 6 6 1 1 3 3 7 7 5 5 5 5 . . 6 6 9 9 2 2 P P 1 1 0 0 5 5 P P 1 1 0 0 8 8 5 5 1 1 3 3 5 5 1 1 2 2 5 5 1 1 . . 5 5 8 8 6 6 6 6 6 6 6 6 7 7 3 3 3 3 4 4 . . 0 0 9 9 9 9 4 4 2 2 4 4 0 0 5 5 1 1 . . 5 5 8 8 6 6 6 6 1 1 8 8 3 3 3 3 4 4 . . 0 0 9 9 8 8 5 5 6 6 4 4 0 0 P P 1 1 0 0 8 8 - - P P 1 1 0 0 9 9 2 2 8 8 5 5 . . 2 2 4 4 6 6 9 9 8 8 3 3 . . 0 0 6 6 9 9 8 8 5 5 1 1 8 8 8 8 9 9 7 7 . . 0 0 8 8 2 2 6 6 1 1 3 3 8 8 6 6 0 0 . . 3 3 5 5 1 1 - - 0 0 . . 0 0 0 0 8 8 0 0 . . 0 0 1 1 6 6 8 8 5 5 1 1 8 8 8 8 9 9 7 7 . . 0 0 7 7 6 6 6 6 1 1 3 3 8 8 6 6 0 0 . . 3 3 6 6 2 2 P P 1 1 0 0 8 8 P P 1 1 0 0 9 9 1 1 6 6 8 8 4 4 7 7 2 2 5 5 1 1 6 6 8 8 . . 7 7 9 9 0 0 2 2 7 7 7 7 8 8 3 3 2 2 2 2 . . 8 8 8 8 9 9 7 7 0 0 1 1 8 8 1 1 6 6 8 8 . . 7 7 9 9 0 0 1 1 2 2 0 0 3 3 2 2 2 2 . . 8 8 8 8 8 8 6 6 8 8 3 3 8 8 P P 1 1 0 0 9 9 - - P P 1 1 1 1 1 1 4 4 5 5 1 1 . . 7 7 0 0 8 8 1 1 4 4 3 3 4 4 . . 7 7 7 7 7 7 8 8 5 5 1 1 9 9 1 1 5 5 3 3 . . 6 6 7 7 4 4 6 6 1 1 3 3 7 7 3 3 5 5 . . 7 7 4 4 8 8 - - 0 0 . . 0 0 1 1 1 1 0 0 . . 0 0 2 2 4 4 8 8 5 5 1 1 9 9 1 1 5 5 3 3 . . 6 6 6 6 6 6 6 6 1 1 3 3 7 7 3 3 5 5 . . 7 7 6 6 5 5 P P 1 1 0 0 9 9 P P 1 1 1 1 1 1 1 1 8 8 7 7 3 3 9 9 7 7 1 1 8 8 7 7 . . 6 6 5 5 1 1 9 9 4 4 4 4 4 4 3 3 3 3 0 0 . . 5 5 4 4 1 1 6 6 4 4 6 6 2 2 1 1 8 8 7 7 . . 6 6 5 5 1 1 7 7 6 6 9 9 3 3 3 3 0 0 . . 5 5 4 4 0 0 4 4 5 5 2 2 6 6 P P 1 1 1 1 1 1 - - P P 1 1 1 1 4 4 7 7 6 6 9 9 . . 22 4 4 9 9 2 2 2 2 0 0 4 4 . . 0 0 2 2 6 6 8 8 5 5 1 1 9 9 5 5 1 1 3 3 . . 8 8 9 9 5 5 6 6 1 1 3 3 4 4 6 6 3 3 . . 2 2 0 0 3 3 - - 0 0 . . 0 0 1 1 7 7 0 0 . . 0 0 3 3 6 6 8 8 5 5 1 1 9 9 5 5 1 1 3 3 . . 8 8 8 8 4 4 6 6 1 1 3 3 4 4 6 6 3 3 . . 2 2 2 2 7 7 P P 1 1 1 1 1 1 P P 1 1 1 1 4 4 2 2 1 1 6 6 3 3 8 8 1 1 7 7 2 2 1 1 6 6 . . 6 6 3 3 8 8 0 0 5 5 5 5 6 6 3 3 6 6 7 7 . . 1 1 7 7 9 9 7 7 0 0 1 1 8 8 2 2 1 1 6 6 . . 6 6 3 3 7 7 8 8 5 5 3 3 3 3 6 6 7 7 . . 1 1 7 7 8 8 3 3 0 0 5 5 5 5 P P 1 1 1 1 4 4 - - P P 1 1 1 1 7 7 2 2 9 9 4 4 . . 4 4 8 8 6 6 2 2 4 4 9 9 8 8 . . 5 5 1 1 2 2 8 8 5 5 2 2 0 0 1 1 8 8 3 3 . . 6 6 8 8 3 3 6 6 1 1 3 3 0 0 8 8 4 4 . . 8 8 8 8 0 0 - - 0 0 . . 0 0 2 2 0 0 0 0 . . 0 0 4 4 1 1 8 8 5 5 2 2 0 0 1 1 8 8 3 3 . . 6 6 6 6 5 5 6 6 1 1 3 3 0 0 8 8 4 4 . . 9 9 1 1 6 6 P P 1 1 1 1 4 4 P P 1 1 1 1 7 7 2 2 1 1 5 5 4 4 2 2 6 6 2 2 1 1 5 5 . . 7 7 0 0 1 1 6 6 6 6 6 6 7 7 4 4 0 0 2 2 . . 8 8 8 8 1 1 3 3 6 6 8 8 5 5 2 2 1 1 5 5 . . 7 7 0 0 1 1 4 4 6 6 5 5 4 4 0 0 2 2 . . 8 8 7 7 9 9 7 7 7 7 0 0 3 3 P P 1 1 1 1 7 7 - - A A Z Z 5 5 8 8 5 5 3 3 8 8 . . 3 3 2 2 1 1 3 3 0 0 3 3 6 6 . . 8 8 3 3 3 3 8 8 5 5 2 2 0 0 4 4 7 7 5 5 . . 8 8 6 6 1 1 6 6 1 1 3 3 1 1 2 2 1 1 . . 6 6 7 7 8 8 - - 0 0 . . 0 0 2 2 4 4 0 0 . . 0 0 5 5 0 0 8 8 5 5 2 2 0 0 4 4 7 7 5 5 . . 8 8 4 4 1 1 6 6 1 1 3 3 1 1 2 2 1 1 . . 7 7 1 1 9 9 P P 1 1 1 1 7 7 A A Z Z 5 5 8 8 1 1 6 6 1 1 1 1 2 2 5 5 3 3 1 1 6 6 1 1 . . 2 2 1 1 4 4 7 7 2 2 2 2 2 2 3 3 8 8 4 4 . . 0 0 9 9 6 6 0 0 9 9 0 0 7 7 1 1 6 6 1 1 . . 2 2 1 1 4 4 5 5 7 7 1 1 3 3 8 8 4 4 . . 0 0 9 9 4 4 3 3 4 4 1 1 6 6 A A Z Z 5 5 8 8 - - P P B B 5 5 8 8 6 6 3 3 1 1 . . 0 0 6 6 7 7 8 8 5 5 2 2 0 0 8 8 7 7 0 0 . . 3 3 3 3 3 3 6 6 1 1 3 3 4 4 8 8 7 7 . . 9 9 8 8 5 5 8 8 5 5 2 2 0 0 8 8 7 7 0 0 . . 3 3 0 0 9 9 6 6 1 1 3 3 4 4 8 8 8 8 . . 0 0 3 3 5 5 A A Z Z 5 5 8 8 P P B B 5 5 8 8 2 2 0 0 4 4 . . 0 0 9 9 6 60 0 9 9 0 0 7 7 2 2 0 0 4 4 . . 0 0 9 9 4 4 3 3 4 4 1 1 6 6 8 8 5 5 2 2 1 1 4 4 4 4 6 6 . . 3 3 9 9 4 4 6 6 1 1 3 3 7 7 4 4 5 5 . . 6 6 6 6 2 2 P P B B 5 5 8 8 1 1 8 8 6 6 8 8 . . 9 9 1 1 7 7 5 5 0 0 P P é é r r i i m m . . = = > > 4 4 6 6 1 1 5 5 . . 0 0 2 2 3 3 0 0 . . 0 0 2 2 4 4 - - 0 0 . . 0 0 5 5 0 0 3 3 0 0 3 3 6 6 . . 8 8 3 3 3 3 0 0 . . 0 0 0 0 1 1 7 7 5 5 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) C C o o m m p p r r o o b b a a c c i i o o n n N N r r o o v v e e r r t t i i c c e e s s 1 1 1 1 A A D D M M I I S S I I B B L L E E S S 8 8 5 5 2 2 0 0 8 8 7 7 0 0 . . 3 3 0 0 9 9 6 6 1 1 3 3 4 4 8 8 8 8 . . 0 0 3 3 5 5 E E . . L L i i n n e e a a l l 0 0 . . 0 0 5 5 5 5 m m . . E E . . R R e e l l a a t t . . 1 1 / / 5 5 4 4 9 9 2 2 8 8 m m . . 1 1 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 6 6 . . 3 3 0 0 3 3 3 3 . . 1 1 7 7 E E r r r r o o r r A A n n g g . . D D i i s s t t a a n n c c i i a a D D i i s s t t a a n n c c i i a a A A c c u u m m u u l l a a d d a a N N o o r r t t e e E E s s t t e e Á Á n n g g u u l l o o H H o o r r i i z z o o n n t t a a l l Á Á n n g g . . D D e e g g . . A A z z i i m m u u t t Á Á n n g g . . C C o o r r r r . . A A z z i i m m u u t t C C o o r r r r . . N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e S S u u m m A A n n g g . . Y Y C C o o r r r r . . X X C C o o r r r r . . L L a a d d o o 3737Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA CIRCUITO 9 :CIRCUITO 9 : PB58 - AZ58PB58 - AZ58 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB58PB58 613725.28613725.28 8521387.0828521387.082 -13.37288098-13.37288098 3,820.2423,820.242 -0.242938969-0.242938969 AAZZ5588 661133446655..443388 8520812.5838520812.583 -- 13.3780849413.37808494 3848.13848.1 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB58PB58 0.99975998885090.9997599888509 0.9993976910.999397691 0.9991578250.999157825 AZ58AZ58 0.99975925848400.9997592584840 0.9993933020.999393302 0.9991527070.999152707 PROMEDIOPROMEDIO 0.9991552635650.999155263565 3838Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 630.681 630.681 630.529 630.529 631.062631.062 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB 24.3369168424.33691684 4.62899E-054.62899E-05 204.3369168204.3369168 204.3369631204.3369631 204.0940242204.0940242 3.5621127053.562112705 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB58PB58 613745.662613745.662 8521446.3948521446.394 AZ58AZ58 613,488.040613,488.040 8,520,870.3128,520,870.312 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB58PB58 661133772255..2288 88552211338877..00882 2 --1133..337722888800998 8 33,,882200..22442 2 --00..224422993388996699 PPBB5577 661144229977..44119 9 88552211443388..77005 5 -- 1133..337722339922228 8 33661122..003333 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB58PB58 0.99975998885090.9997599888509 0.9993976910.999397691 0.9991578250.999157825 PB57PB57 0.99976160273110.9997616027311 0.9994304990.999430499 0.9991922380.999192238 PROMEDIOPROMEDIO 0.9991750309450.999175030945 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 574.601 574.601 574.463 574.463 574.938574.938 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ABAB 84.8442730384.84427303 -4.16964E-06-4.16964E-06 84.8442730384.84427303 84.8442688684.84426886 84.6013298984.60132989 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB58PB58 613745.662613745.662 8521446.3948521446.394 PB57PB57 614,318.049614,318.049 8,521,500.4878,521,500.487 ZG(RAD)ZG(RAD) 1.4765717581.476571758 PB58 - PB57PB58 - PB57 3939Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB58PB58 613725.28613725.28 88552211338877..00882 2 --1133..337722888800998 8 33,,882200..22442 2 --00..224422993388996699 AAZZ5577 661144220044..66336 6 88552211336677..33442 2 -- 1133..337733004411004 4 33665500..330055 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB58PB58 0.99975998885090.9997599888509 0.999397691 0.9991578250.999397691 0.999157825 AZ57AZ57 0.99976134045040.9997613404504 0.9994244690.999424469 0.9991859460.999185946 PROMEDIOPROMEDIO 0.9991718853330.999171885333 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 479.877 479.877 479.762 479.762 480.160480.160LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -87.64187784-87.64187784 1.59399E-061.59399E-06 92.3581221692.35812216 92.3581237592.35812375 92.1151847892.11518478 1.6077132661.607713266 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB58PB58 613745.662613745.662 8521446.3948521446.394 AZ57AZ57 614,225.495614,225.495 8,521,428.6728,521,428.672 PB58 - AZ57PB58 - AZ57 4040Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z Z I I N N I I 2 2 5 5 7 7 . . 6 6 2 2 2 2 5 5 7 7 6 6 . . 0 0 8 8 2 2 6 6 5 5 . . 9 9 0 0 5 5 9 9 6 6 1 1 6 6 1 1 2 2 4 4 . . 0 0 9 9 4 4 0 0 3 3 8 8 4 4 A A Z Z 5 5 8 8 P P B B 5 5 8 8 A A Z Z F F I I N N - - 9 9 2 2 . . 5 5 5 5 4 4 - - 7 7 1 1 . . 8 8 1 1 5 5 3 3 7 7 . . 8 8 0 0 8 8 7 7 9 9 5 5 1 1 8 8 2 2 3 3 2 2 . . 1 1 9 9 1 1 2 2 0 0 4 4 8 8 A A Z Z 5 5 7 7 P P B B 5 5 7 7 V V é é r r t t i i c c e e G G M M S S A A Z Z 5 5 8 8 2 2 4 4 . . 0 0 9 9 4 4 0 0 3 3 8 8 4 4 2 2 4 4 . . 0 0 9 9 4 4 0 0 3 3 8 8 4 4 A A Z Z 5 5 8 8 - - P P B B 5 5 8 8 6 6 3 3 1 1 . . 0 0 6 6 2 2 8 8 5 5 2 2 0 0 8 8 7 7 0 0 . . 3 3 1 1 2 2 6 6 1 1 3 3 4 4 8 8 8 8 . . 0 0 4 4 0 0 A A Z Z 5 5 8 8 P P B B 5 5 8 8 1 1 8 8 9 9 1 1 7 7 1 1 9 9 . . 5 5 1 1 8 8 9 9 . . 2 2 8 8 8 8 7 7 5 5 0 0 0 0 3 3 3 3 . . 3 3 8 8 2 2 7 7 8 8 8 8 4 4 1 1 8 8 9 9 . . 2 2 8 8 7 7 4 4 2 2 4 4 3 3 3 3 . . 3 3 8 8 1 1 4 4 6 6 1 1 9 9 P P B B 5 5 8 8 - - P P 1 1 2 2 5 5 3 3 4 4 5 5 . . 3 3 1 1 4 4 3 3 4 4 5 5 . . 3 3 1 1 4 4 8 8 5 5 2 2 1 1 4 4 4 4 6 6 . . 3 3 9 9 4 4 6 6 1 1 3 3 7 7 4 4 5 5 . . 6 6 6 6 2 2 - - 0 0 . . 0 0 0 0 1 1 - - 0 0 . . 0 0 0 0 6 6 8 8 5 5 2 2 1 1 4 4 4 4 6 6 . . 3 3 9 9 4 4 6 6 1 1 3 3 7 7 4 4 5 5 . . 6 6 6 6 2 2 P P B B 5 5 8 8 P P 1 1 2 2 5 5 1 1 5 5 3 3 5 5 6 6 5 5 4 4 1 1 5 5 3 3 . . 9 9 4 4 8 8 3 3 3 3 3 3 3 3 7 7 . . 3 3 3 3 1 1 1 1 2 2 1 1 7 7 1 1 5 5 3 3 . . 9 9 4 4 7 7 2 2 5 5 4 4 7 7 . . 3 3 2 2 8 8 7 7 1 1 6 6 4 4 P P 1 1 2 2 5 5 - - P P 1 1 2 2 6 6 2 2 6 6 3 3 . . 6 6 1 1 1 1 6 6 0 0 8 8 . . 9 9 2 2 5 5 8 8 5 5 2 2 1 1 7 7 3 3 4 4 . . 7 7 4 4 0 0 6 6 1 1 3 3 9 9 3 3 5 5 . . 6 6 5 5 7 7 - - 0 0 . . 0 0 0 0 1 1 - - 0 0 . . 0 0 1 1 1 1 8 8 5 5 2 2 1 1 7 7 3 3 4 4 . . 7 7 4 4 0 0 6 6 1 1 3 3 9 9 3 3 5 5 . . 6 6 5 5 1 1 P P 1 1 2 2 5 5 P P 1 1 2 2 6 6 1 1 8 8 5 5 1 1 3 3 9 9 . . 5 5 1 1 8 8 5 5 . . 0 0 2 2 7 7 6 63 3 8 8 9 9 1 1 2 2 . . 3 3 5 5 8 8 7 7 6 6 0 0 6 6 1 1 8 8 5 5 . . 0 0 2 2 6 6 3 3 4 4 2 2 1 1 2 2 . . 3 3 5 5 5 5 0 0 5 5 8 8 7 7 P P 1 1 2 2 6 6 - - P P 1 1 2 2 9 9 2 2 5 5 2 2 . . 2 2 0 0 3 3 8 8 6 6 1 1 . . 1 1 2 2 8 8 8 8 5 5 2 2 1 1 9 9 9 9 6 6 . . 1 1 9 9 8 8 6 6 1 1 3 3 9 9 6 6 9 9 . . 2 2 8 8 4 4 - - 0 0 . . 0 0 0 0 1 1 - - 0 0 . . 0 0 1 1 5 5 8 8 5 5 2 2 1 1 9 9 9 9 6 6 . . 1 1 9 9 7 7 6 6 1 1 3 3 9 9 6 6 9 9 . . 2 2 7 7 3 3 P P 1 1 2 2 6 6 P P 1 1 2 2 9 9 3 3 3 3 6 6 4 4 2 2 5 5 3 3 3 3 6 6 . . 7 7 0 0 1 1 3 3 8 8 8 8 9 9 1 1 6 6 9 9 . . 0 0 6 6 0 0 1 1 4 4 9 9 5 5 3 3 3 3 6 6 . . 6 6 9 9 9 9 0 0 2 2 9 9 1 1 6 6 9 9 . . 0 0 5 5 4 4 0 0 8 8 8 8 1 1 P P 1 1 2 2 9 9 - - P P 1 1 3 3 2 2 6 6 3 3 0 0 . . 2 2 0 0 7 7 1 1 4 4 9 9 1 1 . . 3 3 3 3 5 5 8 8 5 5 2 2 2 2 2 2 4 4 2 2 . . 5 5 6 6 0 0 6 6 1 1 4 4 0 0 2 2 3 3 . . 2 2 4 4 8 8 - - 0 0 . . 0 0 0 0 2 2 - - 0 0 . . 0 0 2 2 6 6 8 8 5 5 2 2 2 2 2 2 4 4 2 2 . . 5 5 5 5 8 8 6 6 1 1 4 4 0 0 2 2 3 3 . . 2 2 3 3 3 3 P P 1 1 2 2 9 9 P P 1 1 3 3 2 2 2 2 0 0 7 7 1 1 2 2 1 1 2 2 0 0 7 7 . . 0 0 2 2 2 2 5 5 0 0 0 0 0 0 1 1 9 9 6 6 . . 0 0 8 8 2 2 6 6 4 4 9 9 5 5 2 2 0 0 7 7 . . 0 0 2 2 1 1 0 0 4 4 9 9 1 1 9 9 6 6 . . 0 0 7 7 5 5 1 1 3 3 7 7 3 3 P P 1 1 3 3 2 2 - - P P 1 1 3 3 4 4 2 2 9 9 2 2 . . 8 8 4 4 7 7 1 1 7 7 8 8 4 4 . . 1 1 8 8 2 2 8 8 5 5 2 2 1 1 6 6 2 2 3 3 . . 8 8 1 1 8 8 6 6 1 1 4 4 1 1 4 4 2 2 . . 9 9 1 1 3 3 - - 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 3 3 1 1 8 8 5 5 2 2 1 1 6 6 2 2 3 3 . . 8 8 1 1 6 6 6 6 1 1 4 4 1 1 4 4 2 2 . . 8 8 8 8 7 7 P P 1 1 3 3 2 2 P P 1 1 3 3 4 4 2 2 0 0 8 8 5 5 3 3 4 4 8 8 2 2 0 0 8 8 . . 8 8 9 9 6 6 6 6 6 6 6 6 7 7 2 2 2 2 4 4 . . 9 9 7 7 9 9 3 3 1 1 6 6 2 2 2 2 0 0 8 8 . . 8 8 9 9 5 5 2 2 0 0 3 3 2 2 2 2 4 4 . . 9 9 7 7 0 0 3 3 4 4 0 0 2 2 P P 1 1 3 3 4 4 - - P P 1 1 3 3 5 5 8 8 1 1 . . 9 9 5 5 8 8 1 1 8 8 6 6 6 6 . . 1 1 4 4 0 0 8 8 5 5 2 2 1 1 33 4 4 2 2 . . 4 4 2 2 2 2 6 6 1 1 4 4 0 0 6 6 1 1 . . 8 8 2 2 4 4 - - 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 3 3 3 3 8 8 5 5 2 2 1 1 3 3 4 4 2 2 . . 4 4 1 1 9 9 6 6 1 1 4 4 0 0 6 6 1 1 . . 7 7 9 9 3 3 P P 1 1 3 3 4 4 P P 1 1 3 3 5 5 1 1 6 6 7 7 4 4 0 0 7 7 1 1 6 6 7 7 . . 6 6 6 6 8 8 6 6 1 1 1 1 1 1 2 2 1 1 2 2 . . 6 6 4 4 7 7 9 9 2 2 7 7 3 3 1 1 6 6 7 7 . . 6 6 6 6 7 7 4 4 3 3 6 6 2 2 1 1 2 2 . . 6 6 3 3 7 7 7 7 7 7 6 6 3 3 P P 1 1 3 3 5 5 - - P P 1 1 3 3 7 7 9 9 0 0 . . 6 6 4 4 4 4 1 1 9 9 5 5 6 6 . . 7 7 8 8 4 4 8 8 5 5 2 2 1 1 2 2 8 8 4 4 . . 4 4 3 3 9 9 6 6 1 1 4 4 0 0 0 0 3 3 . . 9 9 0 0 1 1 - - 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 3 3 4 4 8 8 5 5 2 2 1 1 2 2 8 8 4 4 . . 4 4 3 3 6 6 6 6 1 1 4 4 0 0 0 0 3 3 . . 8 8 6 6 8 8 P P 1 1 3 3 5 5 P P 1 1 3 3 7 7 5 5 9 9 4 4 1 1 5 5 7 7 5 5 9 9 . . 6 6 9 9 9 9 1 1 6 6 6 6 7 7 9 9 2 2 . . 3 3 4 4 7 7 0 0 9 9 4 4 0 0 5 5 9 9 . . 6 6 9 9 8 8 7 7 4 4 8 8 9 9 2 2 . . 3 3 3 3 6 6 5 5 2 2 4 4 6 6 P P 1 1 3 3 7 7 - - P P 1 1 3 3 8 8 1 1 7 7 6 6 . . 5 5 4 4 2 2 2 2 1 1 3 3 3 3 . . 3 3 2 2 6 6 8 8 5 5 2 2 1 1 2 2 0 0 8 8 . . 1 1 0 0 8 8 6 6 1 1 3 3 9 9 5 5 5 5 . . 0 0 1 1 4 4 - - 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 3 3 7 7 8 8 5 5 2 2 1 1 2 2 0 0 8 8 . . 1 1 0 0 5 5 6 6 1 1 3 3 9 9 5 5 4 4 . . 9 9 8 8 0 0 P P 1 1 3 3 7 7 P P 1 1 3 3 8 8 1 1 5 5 8 8 5 5 5 5 4 4 2 2 . . 5 5 1 1 5 5 8 8 . . 9 9 2 2 8 8 4 4 7 7 2 2 2 2 7 7 1 1 . . 2 2 7 7 5 5 5 5 6 6 6 6 2 2 1 1 5 5 8 8 . . 9 9 2 2 7 7 3 3 5 5 8 8 7 7 1 1 . . 2 2 6 6 3 3 8 8 8 8 3 3 1 1 P P 1 1 3 3 8 8 - - P P 1 1 3 3 9 9 9 9 5 5 . . 5 5 1 1 1 1 2 2 2 2 2 2 8 8 . . 8 8 3 3 7 7 8 8 5 5 2 2 1 1 2 2 0 0 0 0 . . 9 9 1 1 0 0 6 6 1 1 4 4 1 1 3 3 1 1 . . 4 4 1 1 0 0 - - 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 3 3 9 9 8 8 5 5 2 2 1 1 2 2 0 0 0 0 . . 9 9 0 0 7 7 6 6 1 1 4 4 1 1 3 3 1 1 . . 3 3 7 7 2 2 P P 1 1 3 3 8 8 P P 1 1 3 3 9 9 1 1 3 3 0 04 4 9 9 5 5 1 1 . . 5 5 1 1 3 3 0 0 . . 8 8 3 3 0 0 9 9 7 7 2 2 2 2 2 2 2 2 . . 1 1 0 0 6 6 5 5 3 3 8 8 4 4 1 1 3 3 0 0 . . 8 8 3 3 0 0 0 0 5 5 5 5 2 2 2 2 . . 0 0 9 9 3 3 9 9 3 3 8 8 5 5 P P 1 1 3 3 9 9 - - P P 1 1 4 4 0 0 5 5 2 2 . . 2 2 6 6 7 7 2 2 2 2 8 8 1 1 . . 1 1 0 0 4 4 8 8 5 5 2 2 1 1 2 2 3 3 1 1 . . 5 5 8 8 9 9 6 6 1 1 4 4 2 2 2 2 1 1 . . 8 8 5 5 9 9 - - 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 4 4 0 0 8 8 5 5 2 2 1 1 2 2 3 3 1 1 . . 5 5 8 8 6 6 6 6 1 1 4 4 2 2 2 2 1 1 . . 8 8 2 2 0 0 P P 1 1 3 3 9 9 P P 1 1 4 4 0 0 1 1 5 5 1 1 4 4 6 6 1 1 7 7 1 1 5 5 1 1 . . 7 7 7 7 1 1 3 3 8 8 8 8 9 9 3 3 5 5 3 3 . . 8 8 7 7 7 7 9 9 2 2 7 7 3 3 1 1 5 5 1 1 . . 7 7 7 7 0 0 3 3 2 2 5 5 3 3 5 5 3 3 . . 8 8 6 6 4 4 2 2 6 6 3 3 8 8 P P 1 1 4 4 0 0 - - A A Z Z 5 5 7 7 1 1 4 4 9 9 . . 5 5 1 1 4 4 2 2 4 4 3 3 0 0 . . 6 6 1 1 8 8 8 8 5 5 2 2 1 1 2 2 8 8 0 0 . . 0 0 1 1 8 8 6 6 1 1 4 4 2 2 4 4 1 1 . . 5 5 1 1 8 8 - - 0 0 . . 0 0 0 0 4 4 - - 0 0 . . 0 0 4 4 3 3 8 8 5 5 2 2 1 1 2 2 8 8 0 0 . . 0 0 1 1 5 5 6 6 1 1 4 4 2 2 4 4 1 1 . . 4 4 7 7 8 8 P P 1 1 4 4 0 0 A A Z Z 5 5 7 7 2 2 3 3 8 8 1 1 9 9 4 4 3 3 2 2 3 3 8 8 . . 3 3 2 2 8 8 6 6 1 1 1 1 1 1 4 4 1 1 2 2 . . 2 2 0 0 6 6 5 5 3 3 8 8 4 4 2 2 3 3 8 8 . . 3 3 2 2 6 6 9 9 4 4 1 1 4 4 1 1 2 2 . . 1 1 9 9 1 1 2 2 0 0 4 4 8 8 A A Z Z 5 5 7 7 - - P P B B 5 5 7 7 1 1 1 1 7 7 . . 1 1 4 4 8 8 8 8 5 5 2 2 1 1 4 4 2 2 8 8 . . 6 6 7 7 6 6 6 6 1 1 4 4 2 2 2 2 5 5 . . 5 5 3 3 8 8 8 8 5 5 2 2 1 1 4 4 2 2 8 8 . . 6 6 7 7 2 2 6 6 1 1 4 4 2 2 2 2 5 5 . . 4 4 9 9 5 5 A A Z Z 5 5 7 7 P P B B 5 5 7 7 2 2 3 3 2 2 . . 2 2 0 0 6 6 5 5 3 3 8 8 4 4 2 2 3 3 2 2 . . 1 1 9 9 1 1 2 2 0 0 4 4 8 8 8 8 5 5 2 2 1 1 5 5 0 0 0 0 . . 4 4 8 8 7 7 6 6 1 1 4 4 3 3 1 1 8 8 . . 0 0 4 4 9 9 P P B B 5 5 7 7 2 2 1 1 8 8 8 8 . . 1 1 1 1 2 2 5 5 0 0 P P é é r r i i m m . . = = > > 3 3 1 1 7 7 8 8 . . 8 8 2 2 8 8 0 0 . . 0 0 0 0 4 4 0 0 . . 0 0 4 4 3 3 2 2 4 4 3 3 0 0 . . 66 1 1 8 8 0 0 . . 0 0 1 1 5 5 3 3 3 3 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) C C o o m m p p r r o o b b a a c c i i o o n n N N r r o o v v e e r r t t i i c c e e s s 1 1 2 2 A A D D M M I I S S I I B B L L E E S S 8 8 5 5 2 2 1 1 4 4 2 2 8 8 . . 6 6 7 7 2 2 6 6 1 1 4 4 2 2 2 2 5 5 . . 4 4 9 9 5 5 E E . . L L i i n n e e a a l l 0 0 . . 0 0 4 4 3 3 m m . . E E . . R R e e l l a a t t . . 1 1 / / 5 5 6 6 7 7 1 1 5 5 m m . . 1 1 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 5 5 5 5 . . 2 2 0 0 3 3 4 4 . . 6 6 4 4 E E r r r r o o r r A A n n g g . . D D i i s s t t a a n n c c i i a a D D i i s s t t a a n n c c i i a a A A c c u u m m u u l l a a d d a a N N o o r r t t e e E E s s t t e e Á Á n n g g u u l l o o H H o o r r i i z z o o n n t t a a l l Á Á n n g g . . D D e e g g . . A A z z i i m m u u t t Á Á n n g g . . C C o o r r r r . . A A z z i i m m u u t t C C o o r r r r . . N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e S S u u m m A A n n g g . . Y Y C C o o r r r r . . X X C C o o r r r r . . L L a a d d o o 4141Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA CIRCUITO 10 :CIRCUITO 10 : PB58 - AZ58PB58 - AZ58 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB57PB57 614297.419614297.419 8521438.7058521438.705 -13.37239228-13.37239228 3,612.0333,612.033 --0.2441520580.244152058 AAZZ5577 661144220044..66336 6 88552211336677..33442 2 -- 1133..337733004411004 4 33665500..330055 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB57PB57 0.99976160273110.9997616027311 0.9994304990.999430499 0.9991922380.999192238 AZ57 0.9997613404504AZ57 0.9997613404504 0.9994244690.999424469 0.9991859460.999185946 PROMEDIOPROMEDIO 0.9991890920370.999189092037 4242Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 117.081 117.081 117.053 117.053 117.148117.148 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) ABAB 52.4347207152.43472071 5.78179E-065.78179E-06 32.434720732.4347207 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB57PB57 614318.049614318.049 8521500.4878521500.487 AZ57AZ57 614,225.496614,225.496 8,521,428.6718,521,428.671 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB57PB57 614297.419614297.419 8521438.7058521438.705 -13.37239228-13.37239228 3,612.0333,612.033 -0.244152058-0.244152058 AAZZ5566 661144884499..779955 8520270.0968520270.096 -13.38293621-13.38293621 3471.9263471.926 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDO)O) PB57PB57 0.99976160273110.9997616027311 0.9994304990.999430499 0.9991922380.999192238 AZ56AZ56 0.99976316836030.9997631683603 0.9994525780.999452578 0.9992158760.999215876 PROMEDIOPROMEDIO 0.9992040483210.999204048321 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 1,292.888 1,292.888 1,292.581 1,292.581 1,293.6111,293.611 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) AB -25.29908054AB -25.29908054 9.48583E-059.48583E-05 154.7009195154.7009195 154.7010143154.7010143 154.4568623154.4568623 2.6957807992.695780799 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB57PB57 614318.049614318.049 8521500.4878521500.487 AZ56AZ56 614,875.842614,875.842 8,520,333.3128,520,333.312 ZG(DEG)ZG(DEG)TT((DDEEGG)) ZZGG((RRAADD)) 232.4347265232.4347265 232.19005744232.19005744 4.0524900164.052490016 PB57 - AZ56PB57 - AZ56 o eso JO G O U So eso JO G O U S 4343Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB57 - PB56PB57 - PB56 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB57PB57 614297.419614297.419 8521438.7058521438.705 -13.37239228-13.37239228 3,612.0333,612.033 -0.244152058-0.244152058 PPBB5566 661155550022..889944 8519680.0158519680.015 -- 1313.38824568.38824568 3420.9883420.988 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB57PB57 0.99976160273110.9997616027311 0.9994304990.999430499 0.9991922380.999192238 PB56PB56 0.99976502933440.9997650293344 0.9994606050.999460605 0.9992257610.999225761 PROMEDIOPROMEDIO 0.9992089802430.999208980243 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 2,132.677 2,132.1732,132.677 2,132.173 2,133.8612,133.861 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -34.42826601-34.42826601 0.0001430280.000143028 145.571734145.571734 145.571877145.571877 145.327725145.327725 2.5364472952.536447295 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB57PB57 614318.049614318.049 8521500.4878521500.487 PB56PB56 615,531.963615,531.963 8,519,745.5598,519,745.559 33Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS 4444Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z Z I I N N I I 9 9 2 2 . . 5 5 5 53 3 7 7 1 1 . . 8 8 1 1 6 6 3 3 7 7 . . 8 8 0 0 9 9 4 4 8 8 1 1 4 4 1 1 5 5 2 2 . . 1 1 9 9 0 0 5 5 1 1 8 8 6 6 A A Z Z 5 5 7 7 P P B B 5 5 7 7 A A Z Z F F I I N N - - 6 6 5 5 6 6 . . 1 1 2 2 1 1 5 5 8 8 7 7 . . 7 7 5 5 3 3 - - 4 4 1 1 . . 8 8 5 5 3 3 9 9 7 7 3 3 6 6 7 7 3 3 1 1 1 1 . . 8 8 5 5 3 3 9 9 7 7 3 3 7 7 A A Z Z 5 5 6 6 P P B B 5 5 6 6 V V é é r r t t i i c c e e G G M M S S A A Z Z 5 5 7 7 5 5 2 2 . . 1 1 9 9 0 0 5 5 1 1 8 8 6 6 5 5 2 2 . . 1 1 9 9 0 0 5 5 1 1 8 8 6 6 A A Z Z 5 5 7 7 - - P P B B 5 5 7 7 1 1 1 1 7 7 . . 1 1 4 4 8 8 8 8 5 5 2 2 1 1 4 4 2 2 8 8 . . 6 6 7 7 1 1 6 6 1 1 4 4 2 2 2 2 5 5 . . 4 4 9 9 6 6 A A Z Z 5 5 7 7 P P B B 5 5 7 7 2 2 8 8 2 2 4 4 4 4 1 1 2 2 2 2 8 8 2 2 . . 7 7 3 3 6 6 6 6 6 6 6 6 7 7 1 1 5 5 4 4 . . 9 9 2 2 7 7 1 1 8 8 5 5 3 3 2 2 8 8 2 2 . . 7 7 3 3 6 6 9 9 1 1 8 8 1 1 5 5 4 4 . . 9 9 2 2 7 7 4 4 3 3 6 6 6 6 P P B B 5 5 7 7 - - A A u u x x 1 1 1 1 1 1 3 3 . . 7 7 3 3 6 6 1 1 1 1 3 3 . . 7 7 3 3 6 6 8 8 5 5 2 2 1 1 5 5 0 0 0 0 . . 4 4 8 8 7 7 6 6 1 1 4 4 3 3 1 1 8 8 . . 0 0 4 4 9 9 0 0 . . 0 0 0 0 2 2 - - 0 0 . . 0 0 0 0 4 4 8 8 5 5 2 2 1 1 5 5 0 0 0 0 . . 4 4 8 8 7 7 6 6 1 1 4 4 3 3 1 1 8 8 . . 0 0 4 4 9 9 P P B B 5 5 7 7 A A u u x x 1 1 1 1 8 8 8 8 3 3 5 5 3 3 1 1 8 8 8 8 . . 5 5 8 8 4 4 1 1 6 6 6 6 7 7 1 1 6 6 3 3 . . 5 5 1 1 1 1 3 3 5 5 2 2 0 0 1 1 8 8 8 8 . . 5 5 8 8 4 4 3 3 3 3 4 4 1 1 6 6 3 3 . . 5 5 1 1 1 1 7 7 7 7 0 0 9 9 A A u u x x 1 1 - - P P 1 1 4 4 2 2 5 5 9 9 . . 6 6 9 9 6 6 1 1 7 7 3 3 . . 4 4 3 3 2 2 8 8 5 5 2 2 1 1 3 3 9 9 7 7 . . 4 4 6 6 8 8 6 6 1 1 4 4 3 3 6 6 6 6 . . 2 2 4 4 6 6 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 0 0 6 6 8 8 5 5 2 2 1 1 3 3 9 9 7 7 . . 4 4 7 7 0 0 6 6 1 1 4 4 3 3 6 6 6 6 . . 2 2 4 4 3 3 A A u u x x 1 1 P P 1 1 4 4 2 2 1 1 9 9 4 4 2 2 0 0 2 2 0 0 1 1 9 9 4 4 . . 3 3 3 3 8 8 8 8 8 8 8 8 9 91 1 7 7 7 7 . . 8 8 5 5 0 0 2 2 4 4 0 0 9 9 1 1 9 9 4 4 . . 3 3 3 3 9 9 0 0 6 6 2 2 1 1 7 7 7 7 . . 8 8 5 5 0 0 8 8 3 3 2 2 5 5 P P 1 1 4 4 2 2 - - P P 1 1 4 4 3 3 1 1 3 3 4 4 . . 3 3 1 1 9 9 3 3 0 0 7 7 . . 7 7 5 5 1 1 8 8 5 5 2 2 1 1 3 3 4 4 0 0 . . 2 2 2 2 7 7 6 6 1 1 4 4 3 3 8 8 3 3 . . 1 1 8 8 9 9 0 0 . . 0 0 0 0 5 5 - - 0 0 . . 0 0 1 1 0 0 8 8 5 5 2 2 1 1 3 3 4 4 0 0 . . 2 2 3 3 0 0 6 6 1 1 4 4 3 3 8 8 3 3 . . 1 1 8 8 4 4 P P 1 1 4 4 2 2 P P 1 1 4 4 3 3 2 2 2 2 8 8 2 2 3 3 1 1 2 2 2 2 8 8 . . 0 0 4 4 1 1 9 9 4 4 4 4 4 4 2 2 2 2 5 5 . . 8 8 9 9 2 2 1 1 8 8 5 5 3 3 2 2 2 2 8 8 . . 0 0 4 4 2 2 1 1 4 4 7 7 2 2 2 2 5 5 . . 8 8 9 9 2 2 9 9 7 7 9 9 6 6 P P 1 1 4 4 3 3 - - P P 1 1 4 4 4 4 1 1 8 8 0 0 . . 5 5 1 1 7 7 4 4 8 8 8 8 . . 2 2 6 6 8 8 8 8 5 5 2 2 1 1 2 2 0 0 6 6 . . 0 0 0 0 2 2 6 6 1 1 4 4 3 3 8 8 8 8 . . 2 2 2 2 6 6 0 0 . . 0 0 0 0 7 7 - - 0 0 . . 0 0 1 1 6 6 8 8 5 5 2 2 1 1 2 2 0 0 6 6 . . 0 0 0 0 7 7 6 6 1 1 4 4 3 3 8 8 8 8 . . 2 2 1 1 7 7 P P 1 1 4 4 3 3 P P 1 1 4 4 4 4 8 8 0 0 4 4 5 5 2 2 0 0 8 8 0 0 . . 7 7 5 5 5 5 5 5 5 5 5 5 6 6 1 1 2 2 6 6 . . 6 6 4 4 7 7 7 7 4 4 0 0 9 9 8 8 0 0 . . 7 7 5 5 5 5 6 6 2 2 7 7 1 1 2 2 6 6 . . 6 6 4 4 8 8 6 6 0 0 7 7 0 0 P P 1 1 4 4 4 4 - - P P 1 1 4 4 5 5 1 1 3 3 8 8 . . 2 2 6 6 7 7 6 6 2 2 6 6 . . 5 5 3 3 5 5 8 8 5 5 2 2 1 1 0 0 8 8 0 0 . . 3 3 6 6 2 2 6 6 1 1 4 4 2 2 5 5 8 8 . . 6 6 0 0 8 8 0 0 . . 0 0 1 1 0 0 - - 0 0 . . 0 0 2 2 0 0 8 8 5 5 2 2 1 1 0 0 8 8 0 0 . . 3 3 7 7 0 0 6 6 1 1 4 4 2 2 5 5 8 8 . . 5 5 9 9 2 2 P P 1 1 4 4 4 4 P P 1 1 4 4 5 5 2 2 0 0 7 7 9 9 3 3 2 2 2 2 0 0 7 7 . . 1 1 5 5 8 8 8 8 8 8 8 8 9 9 1 1 5 5 3 3 . . 88 0 0 6 6 6 6 2 2 9 9 8 8 2 2 0 0 7 7 . . 1 1 5 5 9 9 0 0 7 7 3 3 1 1 5 5 3 3 . . 8 8 0 0 7 7 6 6 8 8 0 0 0 0 P P 1 1 4 4 5 5 - - P P 1 1 4 4 6 6 3 3 1 1 2 2 . . 4 4 3 3 6 6 9 9 3 3 8 8 . . 9 9 7 7 1 1 8 8 5 5 2 2 0 0 9 9 9 9 7 7 . . 8 8 3 3 0 0 6 6 1 1 4 4 3 3 6 6 9 9 . . 5 5 4 4 1 1 0 0 . . 0 0 1 1 4 4 - - 0 0 . . 0 0 3 3 0 0 8 8 5 5 2 2 0 0 9 9 9 9 7 7 . . 8 8 4 4 0 0 6 6 1 1 4 4 3 3 6 6 9 9 . . 5 5 2 2 1 1 P P 1 1 4 4 5 5 P P 1 1 4 4 6 6 1 1 7 7 1 1 1 1 7 7 9 9 1 1 7 7 1 1 . . 2 2 8 8 5 5 8 8 3 3 3 3 3 3 1 1 4 4 5 5 . . 0 0 9 9 2 2 4 4 6 6 3 3 1 1 1 1 7 7 1 1 . . 2 2 8 8 5 5 9 9 8 8 6 6 1 1 4 4 5 5 . . 0 0 9 9 3 3 6 6 6 6 5 5 5 5 P P 1 1 4 4 6 6 - - P P 1 1 5 5 3 3 4 4 9 9 5 5 . . 9 9 6 6 7 7 1 1 4 4 3 3 4 4 . . 9 9 3 3 8 8 8 8 5 5 2 2 0 0 7 7 1 1 7 7 . . 4 4 7 7 6 6 6 6 1 1 4 4 5 5 0 0 7 7 . . 4 4 4 4 6 6 0 0 . . 0 0 2 2 2 2 - - 0 0 . . 0 0 4 4 6 6 8 8 5 5 2 2 0 0 7 7 1 1 7 7 . . 4 4 9 9 0 0 6 6 1 1 4 4 5 5 0 0 7 7 . . 4 4 1 1 6 6 P P 1 1 4 4 6 6 P P 1 1 5 5 3 3 1 1 0 0 9 9 5 5 9 9 1 1 3 3 1 1 0 0 9 9 . . 9 9 8 8 6 6 9 9 4 4 4 4 4 4 7 7 5 5 . . 0 0 7 7 9 9 4 4 0 0 7 7 5 5 1 1 0 0 9 9 . . 9 9 8 8 7 7 0 0 4 4 2 2 7 7 5 5 . . 0 0 8 8 0 0 7 7 0 0 7 7 7 7 P P 1 1 5 5 3 3 - - A A Z Z 5 5 6 6 8 8 7 7 . . 5 5 8 8 7 7 1 1 5 5 2 2 2 2 . . 5 5 2 2 5 5 8 8 5 5 2 2 0 0 3 3 1 1 0 0 . . 7 7 3 3 9 9 6 6 1 1 4 4 7 7 9 9 1 1 . . 2 2 5 5 6 6 0 0 . . 0 0 2 2 3 3 - - 0 0 . . 0 0 4 4 9 9 8 8 5 5 2 2 0 0 3 3 1 1 0 0 . . 7 7 6 6 1 1 6 6 1 1 4 4 7 7 9 9 1 1 . . 2 2 1 1 0 0 P P 1 1 5 5 3 3 A A Z Z 5 5 6 6 2 2 3 3 6 6 4 4 6 6 2 2 3 3 2 2 3 3 6 6 . . 7 7 7 7 3 3 0 0 5 5 5 5 6 6 1 1 3 3 1 1 . . 8 8 5 5 22 4 4 6 6 3 3 1 1 2 2 3 3 6 6 . . 7 7 7 7 3 3 2 2 6 6 6 6 1 1 3 3 1 1 . . 8 8 5 5 3 3 9 9 7 7 3 3 7 7 A A Z Z 5 5 6 6 - - P P B B 5 5 6 6 8 8 8 8 0 0 . . 8 8 7 7 9 9 8 8 5 5 2 2 0 0 3 3 3 3 3 3 . . 2 2 8 8 9 9 6 6 1 1 4 4 8 8 7 7 5 5 . . 8 8 9 9 1 1 8 8 5 5 2 2 0 0 3 3 3 3 3 3 . . 3 3 1 1 2 2 6 6 1 1 4 4 8 8 7 7 5 5 . . 8 8 4 4 2 2 A A Z Z 5 5 6 6 P P B B 5 5 6 6 3 3 1 1 1 1 . . 8 8 5 5 2 2 4 4 6 6 3 3 1 1 3 3 1 1 1 1 . . 8 8 5 5 3 3 9 9 7 7 3 3 7 7 8 8 5 5 1 1 9 9 7 7 4 4 5 5 . . 5 5 5 5 9 9 6 6 1 1 5 5 5 5 3 3 1 1 . . 9 9 6 6 3 3 P P B B 5 5 6 6 1 1 6 6 9 9 9 9 . . 6 6 6 6 1 1 9 9 4 4 P P é é r r i i m m . . = = > > 2 2 5 5 2 2 0 0 . . 5 5 5 5 2 2 - - 0 0 . . 0 0 2 2 3 3 0 0 . . 0 0 4 4 9 9 1 1 5 5 2 2 2 2 . . 5 5 2 2 5 5 - - 0 0 . . 0 0 0 0 1 1 5 5 1 1 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) C C o o m m p p r r o o b b a a c c i i o o n n N N r r o o v v e e r r t t i i c c e e s s 9 9 A A D D M M I I S S I I B B L L E E S S 8 8 5 5 2 2 0 0 3 3 3 3 3 3 . . 3 3 1 1 2 2 6 6 1 1 4 4 8 8 7 7 5 5 . . 8 8 4 4 2 2 E E . . L L i i n n e e a a l l 0 0 . . 0 0 5 5 4 4 m m . . E E . . R R e e l l a a t t . . 1 1 / / 2 2 8 8 3 3 2 2 6 6 m m . . 1 1 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 5 5 . . 4 4 4 4 3 3 0 0 . . 0 0 0 0 E E r r r r o o r r A A n n g g . . D D i i s s t t a a n n c c i i a a D D i i s s t t a a n n c c i i a a A A c c u u m m u u l l a a d d a a N N o o r r t t e e E E s s t t e e Á Á n n g g u u l l o o H H o o r r i i z z o o n n t t a a l l Á Á n n g g . . D D e e g g . . A A z z i i m m u u t t Á Á n n g g . . C C o o r r r r . . A A z z i i m m u u t t C C o o r r r r . . N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e S S u u m m A A n n g g . . Y Y C C o o r r r r . . X X C C o o r r r r . . L L a a d d o o 4444Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS 4545Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA CIRCUITO 11 :CIRCUITO 11 : PB56 - AZ 56PB56 - AZ 56 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB56PB56 615502.894615502.894 8519680.0158519680.015 -13.38824568-13.38824568 3,420.9883,420.988 -0.247030712-0.247030712 AAZZ5566 661144884499..779955 8520270.0968520270.096 -13.38293621-13.38293621 3471.9263471.926 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB56PB56 0.99976502933440.9997650293344 0.9994606050.999460605 0.9992257610.999225761 AZ56AZ56 0.99976316836030.9997631683603 0.9994525780.999452578 0.9992158760.999215876 PROMEDIOPROMEDIO 0.9992208165510.999220816551 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 880.397 880.397 880.190 880.190 880.876880.876 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -47.90189479-47.90189479 -4.82342E-05-4.82342E-05 312.0981052312.0981052 312.098057312.098057 311.8510263311.8510263 5.4428271845.442827184 4545Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS 4646Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓNDE COORDENADAS UTM A TOPOGRÁFICA PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB56PB56 615531.963615531.963 8519745.5598519745.559 AZ56AZ56 614,875.814614,875.814 8,520,333.2768,520,333.276 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB56PB56 661155550022..889944 8519680.0158519680.015 -13.38824568-13.38824568 3,420.9883,420.988 -0.247030712-0.247030712 PPBB5555 661166991199..55882 2 88551199334433..99222 2 -- 1133..339911222288668 8 33220099..556677 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB56PB56 0.99976502933440.9997650293344 0.9994606050.999460605 0.9992257610.999225761 PB55PB55 0.99976910254140.9997691025414 0.9994939240.999493924 0.9992631430.999263143 PROMEDIOPROMEDIO 0.9992444513210.999244451321 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 1,456.349 1,456.349 1,456.009 1,456.009 1,457.1101,457.110 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -76.65396279-76.65396279 2.76372E-052.76372E-05 103.3460372103.3460372 103.3460649103.3460649 103.0990341103.0990341 1.7994176011.799417601 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB56PB56 615531.963615531.963 8519745.5598519745.559 PB55PB55 616,951.159616,951.159 8,519,415.3278,519,415.327 PB56 - PB55PB56 - PB55 4646Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS 4747Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB56 - AZ55PB56 - AZ55 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB56PB56 615502.894615502.894 8519680.0158519680.015 -13.38824568-13.38824568 3,420.9883,420.988 -0.247030712-0.247030712 AAZZ5555 661166224466..883366 8519375.1928519375.192 -- 13.3909724513.39097245 3246.9743246.974 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB56PB56 0.99976502933440.9997650293344 0.9994606050.999460605 0.9992257610.999225761 AZ55AZ55 0.99976716207570.9997671620757 0.9994880290.999488029 0.999255310.99925531 PROMEDIOPROMEDIO 0.9992405348710.999240534871 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 804.157 804.157 803.969 803.969 804.580804.580 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -67.7191116-67.7191116 2.50174E-052.50174E-05 112.2808884112.2808884 112.2809134112.2809134 112.0338827112.0338827 1.9553601271.955360127 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB56PB56 615531.963615531.963 8519745.5598519745.559 AZ55AZ55 616,277.779616,277.779 8,519,443.7178,519,443.717 4747Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS 4848Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z Z I I N N I I 6 6 5 5 6 6 . . 1 1 4 4 9 9 - - 5 5 8 8 7 7 . . 7 7 1 1 7 7 - - 4 4 1 1 . . 8 8 5 5 1 1 0 0 1 1 4 4 3 3 6 6 1 1 3 3 1 1 . . 8 8 5 5 1 1 0 0 1 1 4 4 4 4 A A Z Z 5 5 6 6 P P B B 5 5 6 6 A A Z Z F F I I N N - - 6 6 7 7 3 3 . . 3 3 8 8 0 0 2 2 8 8 . . 3 3 9 9 0 0 - - 2 2 . . 4 4 1 1 4 4 1 1 8 8 5 5 7 7 9 9 2 2 2 2 7 7 2 2 . . 4 4 1 1 4 4 1 1 8 8 5 5 8 8 A A Z Z 5 5 5 5 P P B B 5 5 5 5 V V é é r r t t i i c c e e G G M M S S A A Z Z 5 5 6 6 1 1 3 3 1 1 . . 8 8 5 5 1 1 0 0 1 1 4 4 4 4 1 1 3 3 1 1 . . 8 8 5 5 1 1 0 0 1 1 4 4 4 4 A A Z Z 5 5 6 6 - - P P B B 5 5 6 6 8 8 8 8 0 0 . . 8 8 7 7 6 6 8 8 5 5 2 2 0 0 3 3 3 3 3 3 . . 2 2 7 7 6 6 6 6 1 1 4 4 8 8 7 7 5 5 . . 8 8 1 1 4 4 A A Z Z 5 5 6 6 P P B B 5 5 6 6 1 1 3 3 9 9 5 5 0 0 5 5 0 0 1 1 3 3 9 9 . . 8 8 4 4 7 7 2 2 2 2 2 2 2 2 9 9 1 1 . . 6 6 9 9 8 8 2 2 3 3 6 6 6 6 1 1 3 3 9 9 . . 8 8 4 4 6 6 4 4 1 1 6 6 9 9 1 1 . . 6 6 9 9 7 7 4 4 3 3 0 0 9 9 P P B B 5 5 6 6 - - P P 1 1 6 6 3 3 1 1 5 5 0 0 . . 7 7 2 2 8 8 1 1 5 5 0 0 . . 7 7 2 2 8 8 8 8 5 5 1 1 9 9 7 7 4 4 5 5 . . 5 5 5 5 9 9 6 6 1 1 5 5 5 5 3 3 1 1 . . 9 9 6 6 3 3 0 0 . . 0 0 0 0 4 4 - - 0 0 . . 0 0 0 0 1 1 8 8 5 5 1 1 9 9 7 7 4 4 5 5 . . 5 5 5 5 9 9 6 6 1 1 5 5 55 3 3 1 1 . . 9 9 6 6 3 3 P P B B 5 5 6 6 P P 1 1 6 6 3 3 1 1 5 5 5 5 4 4 0 0 2 2 3 3 1 1 5 5 5 5 . . 6 6 7 7 3 3 0 0 5 5 5 5 6 6 6 6 7 7 . . 3 3 7 7 1 1 2 2 9 9 2 2 2 2 1 1 5 5 5 5 . . 6 6 7 7 2 2 1 1 5 5 9 9 6 6 7 7 . . 3 3 6 6 9 9 5 5 8 8 9 9 5 5 P P 1 1 6 6 3 3 - - P P 1 1 7 7 0 0 2 2 7 7 3 3 . . 1 1 7 7 1 1 4 4 2 2 3 3 . . 8 8 9 9 9 9 8 8 5 5 1 1 9 9 7 7 4 4 1 1 . . 0 0 9 9 4 4 6 6 1 1 5 5 6 6 8 8 2 2 . . 6 6 2 2 5 5 0 0 . . 0 0 1 1 2 2 - - 0 0 . . 0 0 0 0 4 4 8 8 5 5 1 1 9 9 7 7 4 4 1 1 . . 0 0 9 9 8 8 6 6 1 1 5 5 6 6 8 8 2 2 . . 6 6 2 2 3 3 P P 1 1 6 6 3 3 P P 1 1 7 7 0 0 2 2 9 9 7 7 5 5 6 6 2 2 9 9 2 2 9 9 7 7 . . 9 9 4 4 1 1 3 3 8 8 8 8 9 9 1 1 8 8 5 5 . . 3 3 1 1 2 2 6 6 8 8 1 1 1 1 2 2 9 9 7 7 . . 9 9 3 3 9 9 6 6 7 7 2 2 1 1 8 8 5 5 . . 3 3 0 0 9 9 2 2 6 6 1 1 8 8 P P 1 1 7 7 0 0 - - P P 1 1 7 7 2 2 1 1 0 0 2 2 . . 8 8 7 7 5 5 5 5 2 2 6 6 . . 7 7 7 7 4 4 8 8 5 5 1 1 9 9 8 8 4 4 6 6 . . 2 2 0 0 6 6 6 6 1 1 5 5 9 9 3 3 4 4 . . 7 7 6 6 3 3 0 0 . . 0 0 1 1 5 5 - - 0 0 . . 0 0 0 0 5 5 8 8 5 5 1 1 9 9 8 8 4 4 6 6 . . 2 2 1 1 8 8 6 6 1 1 5 5 9 9 3 3 4 4 . . 7 7 5 5 9 9 P P 1 1 7 7 0 0 P P 1 1 7 7 2 2 1 1 2 2 3 3 4 4 9 9 5 5 1 1 1 1 2 2 3 3 . . 8 8 3 3 0 0 8 8 3 3 3 3 3 3 1 1 2 2 9 9 . . 1 1 4 4 3 3 5 5 1 1 4 4 4 4 1 1 2 2 3 3 . . 8 8 3 3 0 0 1 1 2 2 0 0 1 1 2 2 9 9 . . 1 1 3 3 9 9 3 3 8 8 1 1 7 7 P P 1 1 7 7 2 2 - - P P 1 1 7 7 3 3 2 2 5 5 9 9 . . 1 1 4 4 8 8 7 7 8 8 5 5 . . 9 9 2 2 2 2 8 8 5 5 1 1 9 9 7 7 4 4 3 3 . . 7 7 7 7 3 3 6 6 1 1 5 5 9 9 2 2 5 5 . . 2 2 4 4 4 4 0 0 . . 0 0 2 2 2 2 - - 0 0 . . 0 0 0 0 7 7 8 8 5 5 1 1 9 9 7 7 4 4 3 3 . . 7 7 8 8 7 7 6 6 1 1 5 5 9 9 2 2 5 5 . . 2 2 3 3 9 9 P P 1 1 7 7 2 2 P P 1 1 7 7 3 3 1 1 8 8 2 2 5 5 2 2 2 2 3 3 1 1 8 8 2 2 . . 88 7 7 3 3 0 0 5 5 5 5 6 6 1 1 3 3 2 2 . . 0 0 1 1 6 6 5 5 7 7 0 0 0 0 1 1 8 8 2 2 . . 8 8 7 7 2 2 0 0 0 0 2 2 1 1 3 3 2 2 . . 0 0 1 1 1 1 3 3 8 8 3 3 6 6 P P 1 1 7 7 3 3 - - A A Z Z 5 5 5 5 2 2 0 0 3 3 . . 9 9 6 6 1 1 9 9 8 8 9 9 . . 8 8 8 8 3 3 8 8 5 5 1 1 9 9 5 5 8 8 0 0 . . 1 1 9 9 6 6 6 6 1 1 6 6 1 1 2 2 6 6 . . 2 2 4 4 3 3 0 0 . . 0 0 2 2 7 7 - - 0 0 . . 0 0 0 0 9 9 8 8 5 5 1 1 9 9 5 5 8 8 0 0 . . 2 2 1 1 8 8 6 6 1 1 6 6 1 1 2 2 6 6 . . 2 2 3 3 5 5 P P 1 1 7 7 3 3 A A Z Z 5 5 5 5 1 1 4 4 0 0 2 2 4 4 1 1 3 3 1 1 4 4 0 0 . . 4 4 0 0 3 3 6 6 1 1 1 1 1 1 9 9 2 2 . . 4 4 2 2 0 0 1 1 8 8 1 1 1 1 1 1 4 4 0 0 . . 4 4 0 0 2 2 8 8 0 0 2 2 9 9 2 2 . . 4 4 1 1 4 4 1 1 8 8 5 5 8 8 A A Z Z 5 5 5 5 - - P P B B 5 5 5 5 6 6 7 7 3 3 . . 9 9 7 7 8 8 8 8 5 5 1 1 9 9 4 4 4 4 3 3 . . 6 6 9 9 0 0 6 6 1 1 6 6 2 2 7 7 7 7 . . 7 7 8 8 8 8 8 8 5 5 1 1 9 9 4 4 4 4 3 3 . . 7 7 1 1 7 7 6 6 1 1 6 6 2 2 7 7 7 7 . . 7 7 7 7 9 9 A A Z Z 5 5 5 5 P P B B 5 5 5 5 2 2 7 7 2 2 . . 4 4 2 2 0 0 1 1 8 8 1 1 1 1 2 2 7 7 2 2 . . 4 4 1 1 4 4 1 1 8 8 5 5 8 8 8 8 5 5 1 1 9 9 4 4 1 1 5 5 . . 3 3 2 2 7 7 6 6 1 1 6 6 9 9 5 5 1 1 . . 1 1 5 5 9 9 P P B B 5 5 5 5 1 1 0 0 4 4 0 0 . . 5 5 6 6 9 9 1 1 7 7 P P é é r r i i m m . . = = > > 2 2 5 5 4 4 4 4 . . 7 7 3 3 7 7 - - 0 0 . . 0 0 2 2 7 7 0 0 . . 0 0 0 0 9 9 9 9 8 8 9 9 . . 8 8 8 8 3 3 0 0 . . 0 0 0 0 6 6 0 0 0 0 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) C C o o m m p p r r o o b b a a c c i i o o n n N N r r o o v v e e r r t t i i c c e e s s 6 6 A A D D M M I I S S I I B B L L E E S S 8 8 5 5 1 1 9 9 4 4 4 4 3 3 . . 7 7 1 1 7 7 6 6 1 1 6 6 2 2 7 7 7 7 . . 7 7 7 7 9 9 E E . . L L i i n n e e a a l l 0 0 . . 0 0 2 2 9 9 m m . . E E . . R R e e l l a a t t . . 1 1 / / 3 3 4 4 2 2 0 0 5 5 m m . . 1 1 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 2 2 1 1 . . 5 5 8 8 2 2 4 4 . . 4 4 9 9 E E r r r r o o r r A A n n g g . . D D i i s s t t a a n n c c i i a a D D i i s s t t a a n n c ci i a a A A c c u u m m u u l l a a d d a a N N o o r r t t e e E E s s t t e e Á Á n n g g u u l l o o H H o o r r i i z z o o n n t t a a l l Á Á n n g g . . D D e e g g . . A A z z i i m m u u t t Á Á n n g g . . C C o o r r r r . . A A z z i i m m u u t t C C o o r r r r . . N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e S S u u m m A A n n g g . . Y Y C C o o r r r r . . X X C C o o r r r r . . L L a a d d o o 4848Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS 4949Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA CIRCUITO 12 :CIRCUITO 12 : PB55 - AZ 55PB55 - AZ 55 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB55PB55 616919.582616919.582 8519343.9228519343.922 -13.39122868-13.39122868 33,,220099..556677 --00..225500111188778855 AAZZ5555 661166224466..883366 8519375.1928519375.192 -13.39097245-13.39097245 3246.9743246.974 PPTTO O K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB55PB55 0.99976910254140.9997691025414 0.9994939240.999493924 0.9992631430.999263143 AZ55AZ55 0.99976716207570.9997671620757 0.9994880290.999488029 0.999255310.99925531 PROMEDIOPROMEDIO 0.9992592265100.999259226510 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 673.629 673.629 673.472 673.472 673.972673.972 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -87.33874238-87.33874238 -2.58733E-06-2.58733E-06 227722..66661122557766 227722..666611225555 272.4111362272.4111362 4.7544712474.754471247 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB55PB55 616169695151.15.1599 8519415.3278519415.327 AZ55AZ55 616,277.784616,277.784 8,519,443.6818,519,443.681 4949Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS 5050Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA PB55 - P185PB55 - P185 PB55 - P186PB55 - P186 PPTTOO E E ((UUTTMM)) NN((UUTTMM)) FFI I h h CCOONNVV. . MMEERRIIDD PB55PB55 616919.582616919.582 8519343.9228519343.922 -13.39122868-13.39122868 3,209.5673,209.567 -0.250118785-0.250118785 PP118855 661177332266..773388 8519006.5258519006.525 -- 13.3942629313.39426293 3180.1753180.175 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB55PB55 0.99976910254140.9997691025414 0.9994939240.999493924 0.9992631430.999263143 P185P185 0.99977028232860.9997702823286 0.9994985560.999498556 0.9992689540.999268954 PROMEDIOPROMEDIO 0.9992660476780.999266047678 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 528.906 528.906 528.784 528.784 529.173529.173 LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -50.35255678-50.35255678 2.80028E-052.80028E-05 129.6474432129.6474432 129.6474712129.6474712 129.3973524129.3973524 2.2584098432.258409843 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB55PB55 616951.159616951.159 88551199441155..332277 P185P185 617,360.084617,360.084 8,519,079.4648,519,079.464 PPTTOO E E ((UUTTMM)) NN((UUTTMM) ) FFI I h h CCOONNVV. . MMEERRIIDD PB55PB55 616919.582616919.582 8519343.9228519343.922 -13.39122868-13.39122868 3,209.5673,209.567 -0.250118785-0.250118785 PP118866 661177447722..7788 8518969.5188518969.518 -- 13.3945917113.39459171 3172.1123172.112 PPTTOO K K ((EESSCCAALLAA)) KK((EELLEEVVAACCIIOONN)) KK((CCOOMMBBIINNAADDOO)) PB55PB55 0.99976910254140.9997691025414 0.9994939240.999493924 0.9992631430.999263143 P186P186 0.99977070651730.9997707065173 0.9994998270.999499827 0.9992706480.999270648 PROMEDIOPROMEDIO 0.9992668947240.999266894724 LLIINNEEAA LL((GGEEOODDEESSIICCAA)) LL((UUTTMM)) LL((TTOOPPOOGGRRÁÁFFIICCAA)) ABAB 668.141 668.141 667.987 667.987 668.477668.477 5050Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS 5151Profesor JORGE MENDOZA DUEÑASProfesor JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA LLIINNEEAA t t ((TT--tt) ) t t ((RREEAALL)) TT((DDEEGG)) ZZGG((DDEEGG)) ZZGG((RRAADD)) ABAB -55.90988706-55.90988706 3.10872E-053.10872E-05 124.0901129124.0901129 124.090144124.090144 123.8400252123.8400252 2.1614161862.161416186 PPTTOO E E ((TTOOPPOO)) NN((TTOOPPOO)) PB55PB55 616951.159616951.159 8519415.3278519415.327 P186P186 617617,50,506.6. 393393 8,519,043.0688,519,043.068 NORTE (m)NORTE (m) 5151Profesor: JORGE MENDOZA DUEÑASProfesor: JORGE MENDOZA DUEÑAS 5252P f JORGE MENDOZA DUEÑASP f JORGE MENDOZA DUEÑAS TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICATRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA D D E E S S T T E E D D N N O O R R T T E E A A N N G G U U L L O O A A Z Z I I M M U U T T A A Z Z I I N N I I 6 6 7 7 3 3 . . 3 3 7 7 5 5 - - 2 2 8 8 . . 3 3 5 5 4 4 - - 2 2 . . 4 4 1 1 1 1 1 1 4 4 5 5 9 9 7 7 6 6 9 9 2 2 . . 4 4 1 1 1 1 1 1 4 4 6 6 A A Z Z 5 5 5 5 P P B B 5 5 5 5 A A Z Z F F I I N N - - 1 1 4 4 6 6 . . 3 3 0 0 9 9 3 3 6 6 . . 3 3 9 9 6 6 - - 1 1 3 3 . . 9 9 6 6 9 9 4 4 2 2 0 0 3 3 2 2 8 8 3 3 . . 9 9 6 6 9 9 4 4 2 2 0 0 3 3 P P - - 1 1 8 8 5 5 P P - - 1 1 8 8 6 6 V V é é r r t t i i c c e e G G M M S S A A Z Z 5 5 5 5 9 9 2 2 . . 4 4 1 1 1 1 1 1 4 4 6 6 0 0 9 9 2 2 . . 4 4 1 1 1 1 1 1 4 4 6 6 0 0 A A Z Z 5 5 5 5 - - P P B B 5 5 5 5 6 6 7 7 3 3 . . 9 9 7 7 2 2 8 8 5 5 1 1 9 9 4 4 4 4 3 3 . . 6 6 8 8 1 1 6 6 1 1 6 6 2 27 7 7 7 . . 7 7 8 8 4 4 A A Z Z 5 5 5 5 P P B B 5 5 5 5 2 2 0 0 1 1 3 3 4 4 8 8 2 2 0 0 1 1 . . 5 5 6 6 8 8 8 8 8 8 8 8 9 9 1 1 1 1 3 3 . . 9 9 8 8 0 0 0 0 3 3 4 4 9 9 2 2 0 0 1 1 . . 5 5 6 6 8 8 3 3 4 4 1 1 1 1 1 1 3 3 . . 9 9 7 7 9 9 4 4 8 8 6 6 7 7 P P B B 5 5 5 5 - - P P 1 1 7 7 8 8 7 7 0 0 . . 6 6 1 1 8 8 7 7 0 0 . . 6 6 1 1 8 8 8 8 5 5 1 1 9 9 4 4 1 1 5 5 . . 3 3 2 2 7 7 6 6 1 1 6 6 9 9 5 5 1 1 . . 1 1 5 5 9 9 0 0 . . 0 0 0 0 1 1 - - 0 0 . . 0 0 0 0 4 4 8 8 5 5 1 1 9 9 4 4 1 1 5 5 . . 3 3 2 2 7 7 6 6 1 1 6 6 9 9 5 5 1 1 . . 1 1 5 5 9 9 P P B B 5 5 5 5 P P 1 1 7 7 8 8 2 2 0 0 5 5 2 2 3 3 1 1 1 1 2 2 0 0 5 5 . . 3 3 8 8 6 6 3 3 8 8 8 8 9 9 1 1 3 3 9 9 . . 3 3 6 6 6 6 4 4 2 2 3 3 8 8 2 2 0 0 5 5 . . 3 3 8 8 5 5 8 8 3 3 0 0 1 1 3 3 9 9 . . 3 3 6 6 5 5 3 3 1 1 7 7 0 0 P P 1 1 7 7 8 8 - - P P 1 1 8 8 0 0 1 1 1 1 9 9 . . 6 6 0 0 9 9 1 1 9 9 0 0 . . 2 2 2 2 7 7 8 8 5 5 1 1 9 9 3 3 8 8 6 6 . . 6 6 2 2 7 7 6 6 1 1 7 7 0 0 1 1 5 5 . . 6 6 8 8 2 2 0 0 . . 0 0 0 0 1 1 - - 0 0 . . 0 0 1 1 1 1 8 8 5 5 1 1 9 9 3 3 8 8 6 6 . . 6 6 2 2 8 8 6 6 1 1 7 7 0 0 1 1 5 5 . . 6 6 7 7 8 8 P P 1 1 7 7 8 8 P P 1 1 8 8 0 0 8 8 2 2 0 0 3 3 2 2 8 8 2 2 . . 0 0 0 0 8 8 8 8 8 8 8 8 9 9 4 4 1 1 . . 3 3 7 7 5 5 3 3 1 1 2 2 7 7 8 8 2 2 . . 0 0 0 0 8 8 6 6 6 6 6 6 4 4 1 1 . . 3 3 7 7 3 3 9 9 8 8 2 2 8 8 P P 1 1 8 8 0 0 - - P P 1 1 8 8 1 1 3 3 7 7 . . 6 6 0 0 1 1 2 2 2 2 7 7 . . 8 8 2 2 8 8 8 8 5 5 1 1 9 9 2 2 9 9 5 5 . . 8 8 5 5 9 9 6 6 1 1 7 7 0 0 9 9 3 3 . . 5 5 7 7 5 5 0 0 . . 0 0 0 0 2 2 - - 0 0 . . 0 0 1 1 3 3 8 8 5 5 1 1 9 9 2 2 9 9 5 5 . . 8 8 6 6 0 0 6 6 1 1 7 7 0 0 9 9 3 3 . . 5 5 6 6 5 5 P P 1 1 8 8 0 0 P P 1 1 8 8 1 1 2 2 0 0 3 3 2 2 2 2 1 1 2 2 0 0 3 3 . . 3 3 6 6 6 6 9 9 4 4 4 4 4 4 6 6 4 4. . 7 7 4 4 2 2 2 2 5 5 7 7 1 1 2 2 0 0 3 3 . . 3 3 6 6 6 6 3 3 9 9 1 1 6 6 4 4 . . 7 7 4 4 0 0 3 3 7 7 4 4 1 1 P P 1 1 8 8 1 1 - - P P 1 1 8 8 2 2 6 6 6 6 . . 9 9 2 2 8 8 2 2 9 9 4 4 . . 7 7 5 5 6 6 8 8 5 5 1 1 9 9 3 3 2 2 4 4 . . 0 0 7 7 5 5 6 6 1 1 7 7 1 1 1 1 8 8 . . 4 4 2 2 9 9 0 0 . . 0 0 0 0 2 2 - - 0 0 . . 0 0 1 1 6 6 8 8 5 5 1 1 9 9 3 3 2 2 4 4 . . 0 0 7 7 7 7 6 6 1 1 7 7 1 1 1 1 8 8 . . 4 4 1 1 6 6 P P 1 1 8 8 1 1 P P 1 1 8 8 2 2 2 2 3 3 2 2 1 1 3 3 4 4 8 8 2 2 3 3 2 2 . . 2 2 3 3 0 0 0 0 0 0 0 0 0 0 1 1 1 1 6 6 . . 9 9 7 7 2 2 2 2 5 5 7 7 1 1 2 2 3 3 2 2 . . 2 2 2 2 9 9 3 3 6 6 8 8 1 1 1 1 6 6 . . 9 9 6 6 9 9 7 7 4 4 2 2 5 5 P P 1 1 8 8 2 2 - - P P 1 1 8 8 3 3 6 6 1 1 . . 8 8 7 7 7 7 3 3 5 5 6 6 . . 6 6 3 3 3 3 8 8 5 5 1 1 9 9 3 3 5 5 2 2 . . 6 6 3 3 4 4 6 6 1 1 7 7 1 1 7 7 8 8 . . 9 9 5 5 7 7 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 2 2 0 0 8 8 5 5 1 1 9 9 3 3 5 5 2 2 . . 6 6 3 3 7 7 6 6 1 1 7 7 1 1 7 7 8 8 . . 9 9 4 4 1 1 P P 1 1 8 8 2 2 P P 1 1 8 8 3 3 2 2 0 0 9 9 2 2 5 5 4 4 2 2 2 2 0 0 9 9 . . 4 4 2 2 8 8 3 3 3 3 3 3 3 3 1 1 4 4 6 6 . . 4 4 0 0 0 0 5 5 9 9 0 0 4 4 2 2 0 0 9 9 . . 4 4 2 2 7 7 7 7 6 6 4 4 1 1 4 4 6 6 . . 3 3 9 9 7 7 5 5 0 0 6 6 2 2 P P 1 1 8 8 3 3 - - P P 1 1 8 8 4 4 7 7 7 7 . . 8 8 5 5 9 9 4 4 3 3 4 4 . . 4 4 9 9 2 2 8 8 5 5 1 1 9 9 3 3 2 2 4 4 . . 5 5 7 7 2 2 6 6 1 1 7 7 2 2 3 3 4 4 . . 1 1 0 0 5 5 0 0 . . 0 0 0 0 3 3 - - 0 0 . . 0 0 2 2 4 4 8 8 5 5 1 1 9 9 3 3 2 2 4 4 . . 5 5 7 7 5 5 6 6 1 1 7 7 2 2 3 3 4 4 . . 0 0 8 8 5 5 P P 1 1 8 8 3 3 P P 1 1 8 8 4 4 1 1 8 8 8 8 5 5 3 3 5 5 9 9 1 1 8 8 8 8 . . 8 8 9 9 9 9 7 7 2 2 2 2 2 2 1 1 5 5 5 5 . . 3 3 0 0 0 0 3 3 1 1 2 2 6 6 1 1 8 8 8 8 . . 8 8 9 9 9 9 2 2 0 0 8 8 1 1 5 5 5 5 . . 2 2 99 6 6 7 7 1 1 4 4 7 7 P P 1 1 8 8 4 4 - - P P - - 1 1 8 8 5 5 1 1 9 9 8 8 . . 4 4 2 2 3 3 6 6 3 3 2 2 . . 9 9 1 1 5 5 8 8 5 5 1 1 9 9 2 2 5 5 9 9 . . 7 7 2 2 3 3 6 6 1 1 7 7 2 2 7 7 7 7 . . 1 1 9 9 4 4 0 0 . . 0 0 0 0 5 5 - - 0 0 . . 0 0 3 3 5 5 8 8 5 5 1 1 9 9 2 2 5 5 9 9 . . 7 7 2 2 7 7 6 6 1 1 7 7 2 2 7 7 7 7 . . 1 1 7 7 0 0 P P 1 1 8 8 4 4 P P - - 1 1 8 8 5 5 1 1 2 2 8 8 4 4 0 0 2 2 3 3 1 1 2 2 8 8 . . 6 6 7 7 3 3 0 0 5 5 5 5 6 6 1 1 0 0 3 3 . . 9 9 7 7 3 3 3 3 6 6 8 8 2 2 1 1 2 2 8 8 . . 6 6 7 7 2 2 7 7 0 0 6 6 1 1 0 0 3 3 . . 9 9 6 6 9 9 4 4 2 2 0 0 3 3 P P - - 1 1 8 8 5 5 - - P P - - 1 1 8 8 6 6 1 1 5 5 0 0 . . 7 7 6 6 8 8 8 8 5 5 1 1 9 9 0 0 7 7 9 9 . . 4 4 5 5 9 9 6 6 1 1 7 7 3 3 6 6 0 0 . . 1 1 1 1 9 9 8 8 5 5 1 1 9 9 0 0 7 7 9 9 . . 4 4 6 6 4 4 6 6 1 1 7 7 3 3 6 6 0 0 . . 0 0 8 8 4 4 P P - - 1 1 8 8 5 5 P P - - 1 1 8 8 6 6 2 2 8 8 3 3 . . 9 9 7 7 3 3 3 3 6 6 8 8 2 2 2 2 8 8 3 3 . . 9 9 6 6 9 9 4 4 2 2 0 0 3 3 8 8 5 5 1 1 9 9 0 0 4 4 3 3 . . 0 0 6 6 8 8 6 6 1 1 7 7 5 5 0 0 6 6 . . 3 3 9 9 3 3 P P - - 1 1 8 8 6 6 1 1 4 4 5 5 1 1 . . 5 5 6 6 2 2 2 2 2 2 P P é é r r i i m m . . = = > > 1 1 4 4 5 5 7 7 . . 6 6 5 5 5 5 - - 0 0 . . 0 0 0 0 5 5 0 0 . . 0 0 3 3 5 5 6 6 3 3 2 2 . . 9 9 1 1 5 5 0 0 . . 0 0 0 0 3 3 9 9 5 5 ( ( A A Z Z I I M M U U T T D D E E L L L L E E G G A A D D A A E E N N C C A A M M P P O O - - A A Z Z I I M M U U T T F F I I N N A A L L ) ) C C o o m m p p r r o o b b a a c c i i o o n n N N r r o o v v e e r r t t i i c c e e s s 8 8 A A D D M M I I S S I I B B L L E E S S 8 8 5 5 1 1 9 9 0 0 7 7 9 9 . . 4 4 6 6 4 4 6 6 1 1 7 7 3 3 6 6 0 0 . . 0 0 8 8 4 4 E E . . L L i i n n e e a a l l 0 0 . . 0 0 3 3 5 5 m m . . E E . . R R e e l l a a t t . . 1 1 / / 1 1 7 7 9 9 4 4 5 5 m m . . 1 1 0 0 0 0 0 0 0 0 E E . . A A n n g g . . 0 0 0 0 1 1 4 4 . . 2 2 1 1 2 2 8 8 . . 2 2 8 8 L L a a d d o o N N o o r r t t e e C C o o r r r r . . E E s s t t e e C C o o r r r r . . V V é é r r t t i i c c e e S S u u m m A A n n g g . . Y Y C C o o r r r r . . X X C C o o r r r r . . E E r r r r o o r r A A n n g g . . D D i i s s t t a a n n c c i i a a D D i i s s t t a a n n c c i i a a A A c c u u m m u u l l a a d d a a N N o o r r t t e e E E s s t t e e Á Á n n g g
