elementos geometricos de curvas horizontales

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Az. 0-1 247 Kilometrajes PI ANGULO DIST Pis RADIO T LC C E PI PC PT 0 316.51 ----- --------- --------- ---- ------ 0+000.00 ------ ------ 1 82 45 10 D 149.31 60.00 52.853 86.659 79.320 19.959 0+316.51 0+263.66 0+350.32 2 45 16 27 D 220.09 30.00 12.511 23.706 23.094 2.504 0+446.77 0+434.26 0+457.97 3 50 23 52 D 283.14 120.00 56.465 105.553 102.183 12.621 0+665.55 0+609.08 0+714.63 4 159 48 14 I 290.83 25.00 140.377 69.728 49.225 117.586 0+941.31 0+800.93 0+870.66 5 78 3 1 D 319.77 130.00 105.366 177.091 163.712 37.338 1+021.11 0+915.75 1+092.84 6 90 35 57 I 320.19 40.00 40.420 63.250 56.864 16.867 1+307.24 1+266.82 1+330.07 7 158 57 12 D 276.13 25.00 134.582 69.357 49.159 111.884 1+609.84 1+475.26 1+544.62 8 48 57 43 D 255.32 60.00 27.320 51.273 49.727 5.927 1+686.16 1+658.84 1+710.12 9 157 28 0 I 417.38 25.00 125.493 68.708 49.036 102.959 1+938.12 1+812.63 1+881.33 10 53 18 33 I 286.05 60.00 30.117 55.825 53.833 7.135 2+173.22 2+143.10 2+198.93 11 136 3 26 D 384.10 25.00 61.966 59.366 46.369 41.819 2+454.86 2+392.90 2+452.26 12 64 32 22 D 282.11 100.00 63.143 112.643 106.781 18.267 2+774.40 2+711.25 2+823.89 13 148 32 53 I 343.10 25.00 88.786 64.816 48.128 67.238 3+042.86 2+954.08 3+018.89 14 72 1 25 I 329.35 60.00 43.611 75.423 70.554 14.175 3+273.21 3+229.59 3+305.02 15 161 48 55 D 486.79 25.00 156.214 70.605 49.372 133.201 3+590.76 3+434.54 3+505.15 16 67 35 11 D 198.86 100.00 66.927 117.961 111.239 20.330 3+835.72 3+768.80 3+886.76 17 126 20 35 I 168.54 25.00 49.431 55.128 44.618 30.393 4+018.69 3+969.26 4+024.39 18 47 42 5 I 400.78 60.00 26.527 49.953 48.523 5.602 4+143.50 4+116.97 4+166.92 19 169 51 17 D 408.84 25.00 281.638 74.113 49.804 257.746 4+541.18 4+259.54 4+333.65 20 132 45 14 I 436.15 25.00 57.160 57.925 45.810 37.388 4+460.85 4+403.69 4+461.62 21 74 36 23 D 457.86 140.00 106.664 182.298 169.689 36.003 4+840.61 4+733.95 4+916.24 22 59 47 38 I 130.23 100.00 57.495 104.360 99.688 15.350 5+267.44 5+209.94 5+314.30 23 28 27 2 D 185.96 60.00 15.211 29.793 29.488 1.898 5+387.04 5+371.83 5+401.62 24 24 20 1 D 80.45 50.00 10.780 21.235 21.076 1.149 5+572.37 5+561.59 5+582.83 25 69 28 3 I 88.19 30.00 20.799 36.373 34.186 6.505 5+652.50 5+631.70 5+668.07 26 60 6 17 D 109.03 30.00 17.357 31.471 30.047 4.659 5+735.46 5+718.10 5+749.58 27 64 52 9 I 116.34 30.00 19.064 33.965 32.180 5.545 5+841.25 5+822.18 5+856.15 28 30 57 28 D 268.58 60.00 16.616 32.419 32.026 2.258 5+953.43 5+936.81 5+969.23 29 36 56 35 D 191.35 60.00 20.043 38.687 38.020 3.259 6+221.19 6+201.15 6+239.84 30 23 1 22 I 176.12 60.00 12.220 24.109 23.948 1.232 6+411.14 6+398.93 6+423.03 31 57 48 38 I 248.12 100.00 55.215 100.899 96.673 14.231 6+586.94 6+531.72 6+632.62 32 29 26 52 I 170.52 60.00 15.767 30.838 30.499 2.037 6+825.52 6+809.76 6+840.59 33 28 52 0 D 337.09 60.00 15.443 30.229 29.910 1.955 6+995.35 6+979.90 7+010.13 34 35 27 17 D 482.44 100.00 31.967 61.880 60.898 4.985 7+331.78 7+299.81 7+361.69 35 21 58 34 I 133.92 60.00 11.650 23.013 22.873 1.121 7+812.17 7+800.52 7+823.53 36 33 48 21 D 431.49 60.00 18.233 35.401 34.890 2.709 7+945.80 7+927.57 7+962.97 37 104 39 6 I 298.58 40.00 51.802 73.061 63.320 25.448 8+376.23 8+324.43 8+397.49 38 161 35 46 D 373.57 25.00 154.321 70.510 49.357 131.333 8+644.26 8+489.94 8+560.45 39 28 33 35 D 124.36 60.00 15.271 29.908 29.599 1.913 8+779.70 8+764.43 8+794.34 40 71 50 7 I 343.17 40.00 28.974 50.151 46.930 9.391 8+903.43 8+874.45 8+924.60 41 44 21 41 D 105.57 60.00 24.462 46.455 45.303 4.795 9+238.80 9+214.34 9+260.79 42 54 36 59 I 70.52 30.00 15.490 28.597 27.527 3.763 9+341.90 9+326.41 9+355.01 43 20 58 3 D 130.45 60.00 11.103 21.957 21.835 1.019 9+410.04 9+398.93 9+420.89 44 20 31 13 D 213.65 60.00 10.861 21.489 21.374 0.975 9+540.24 9+529.38 9+550.87 45 50 46 25 I 129.97 40.00 18.982 35.447 34.298 4.276 9+753.66 9+734.67 9+770.12 46 11 57 6 D 163.92 60.00 6.281 12.516 12.493 0.328 9+881.11 9+874.83 9+887.34 47 40 9 14 D 268.17 60.00 21.930 42.049 41.194 3.882 10+044.98 10+023.05 10+065.10 48 44 7 34 I 213.12 60.00 24.318 46.209 45.075 4.741 10+311.34 10+287.03 10+333.23 49 74 17 55 D 260.08 80.00 60.612 103.741 96.623 20.368 10+522.04 10+461.42 10+565.16 50 48 42 27 I 319.13 50.00 22.632 42.505 41.237 4.884 10+764.63 10+742.00 10+784.51 51 44 53 29 D 151.76 60.00 24.786 47.010 45.817 4.918 11+081.00 11+056.22 11+103.23 52 59 42 31 I 128.30 30.00 17.219 31.263 29.868 4.590 11+230.20 11+212.98 11+244.25 53 35 6 41 D 150.56 60.00 18.982 36.769 36.196 2.931 11+355.33 11+336.34 11+373.11 54 43 27 17 D 82.89 50.00 19.925 37.921 37.019 3.824 11+504.69 11+484.77 11+522.69 55 60 17 23 I 122.26 30.00 17.422 31.568 30.131 4.692 11+585.65 11+568.23 11+599.80 56 60 29 14 I 115.44 30.00 17.491 31.671 30.221 4.727 11+704.64 11+687.15 11+718.82 57 52 6 4 D 129.44 30.00 14.665 27.280 26.350 3.392 11+816.77 11+802.10 11+829.38 58 51 7 8 I 158.25 60.00 28.695 53.532 51.774 6.509 11+944.16 11+915.46 11+968.99 Pi fina 0 0 0 0.00 0.00 0.000 0.000 0.000 0.000 12+098.55 12+098.55 12+098.55 A z

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Page 1: Elementos Geometricos de Curvas Horizontales

Az. 0-1: 247 KilometrajesPI ANGULO DIST Pis RADIO T LC C E PI PC PT0 316.51 ----- ----------- ----------- ---- ------ 0+000.00 ------ ------1 82 45 10 D 149.31 60.00 52.853 86.659 79.320 19.959 0+316.51 0+263.66 0+350.322 45 16 27 D 220.09 30.00 12.511 23.706 23.094 2.504 0+446.77 0+434.26 0+457.973 50 23 52 D 283.14 120.00 56.465 105.553 102.183 12.621 0+665.55 0+609.08 0+714.634 159 48 14 I 290.83 25.00 140.377 69.728 49.225 117.586 0+941.31 0+800.93 0+870.665 78 3 1 D 319.77 130.00 105.366 177.091 163.712 37.338 1+021.11 0+915.75 1+092.846 90 35 57 I 320.19 40.00 40.420 63.250 56.864 16.867 1+307.24 1+266.82 1+330.077 158 57 12 D 276.13 25.00 134.582 69.357 49.159 111.884 1+609.84 1+475.26 1+544.628 48 57 43 D 255.32 60.00 27.320 51.273 49.727 5.927 1+686.16 1+658.84 1+710.129 157 28 0 I 417.38 25.00 125.493 68.708 49.036 102.959 1+938.12 1+812.63 1+881.3310 53 18 33 I 286.05 60.00 30.117 55.825 53.833 7.135 2+173.22 2+143.10 2+198.9311 136 3 26 D 384.10 25.00 61.966 59.366 46.369 41.819 2+454.86 2+392.90 2+452.2612 64 32 22 D 282.11 100.00 63.143 112.643 106.781 18.267 2+774.40 2+711.25 2+823.8913 148 32 53 I 343.10 25.00 88.786 64.816 48.128 67.238 3+042.86 2+954.08 3+018.8914 72 1 25 I 329.35 60.00 43.611 75.423 70.554 14.175 3+273.21 3+229.59 3+305.0215 161 48 55 D 486.79 25.00 156.214 70.605 49.372 133.201 3+590.76 3+434.54 3+505.1516 67 35 11 D 198.86 100.00 66.927 117.961 111.239 20.330 3+835.72 3+768.80 3+886.7617 126 20 35 I 168.54 25.00 49.431 55.128 44.618 30.393 4+018.69 3+969.26 4+024.3918 47 42 5 I 400.78 60.00 26.527 49.953 48.523 5.602 4+143.50 4+116.97 4+166.9219 169 51 17 D 408.84 25.00 281.638 74.113 49.804 257.746 4+541.18 4+259.54 4+333.6520 132 45 14 I 436.15 25.00 57.160 57.925 45.810 37.388 4+460.85 4+403.69 4+461.6221 74 36 23 D 457.86 140.00 106.664 182.298 169.689 36.003 4+840.61 4+733.95 4+916.2422 59 47 38 I 130.23 100.00 57.495 104.360 99.688 15.350 5+267.44 5+209.94 5+314.3023 28 27 2 D 185.96 60.00 15.211 29.793 29.488 1.898 5+387.04 5+371.83 5+401.6224 24 20 1 D 80.45 50.00 10.780 21.235 21.076 1.149 5+572.37 5+561.59 5+582.8325 69 28 3 I 88.19 30.00 20.799 36.373 34.186 6.505 5+652.50 5+631.70 5+668.0726 60 6 17 D 109.03 30.00 17.357 31.471 30.047 4.659 5+735.46 5+718.10 5+749.5827 64 52 9 I 116.34 30.00 19.064 33.965 32.180 5.545 5+841.25 5+822.18 5+856.1528 30 57 28 D 268.58 60.00 16.616 32.419 32.026 2.258 5+953.43 5+936.81 5+969.2329 36 56 35 D 191.35 60.00 20.043 38.687 38.020 3.259 6+221.19 6+201.15 6+239.8430 23 1 22 I 176.12 60.00 12.220 24.109 23.948 1.232 6+411.14 6+398.93 6+423.0331 57 48 38 I 248.12 100.00 55.215 100.899 96.673 14.231 6+586.94 6+531.72 6+632.6232 29 26 52 I 170.52 60.00 15.767 30.838 30.499 2.037 6+825.52 6+809.76 6+840.5933 28 52 0 D 337.09 60.00 15.443 30.229 29.910 1.955 6+995.35 6+979.90 7+010.1334 35 27 17 D 482.44 100.00 31.967 61.880 60.898 4.985 7+331.78 7+299.81 7+361.6935 21 58 34 I 133.92 60.00 11.650 23.013 22.873 1.121 7+812.17 7+800.52 7+823.5336 33 48 21 D 431.49 60.00 18.233 35.401 34.890 2.709 7+945.80 7+927.57 7+962.9737 104 39 6 I 298.58 40.00 51.802 73.061 63.320 25.448 8+376.23 8+324.43 8+397.4938 161 35 46 D 373.57 25.00 154.321 70.510 49.357 131.333 8+644.26 8+489.94 8+560.4539 28 33 35 D 124.36 60.00 15.271 29.908 29.599 1.913 8+779.70 8+764.43 8+794.3440 71 50 7 I 343.17 40.00 28.974 50.151 46.930 9.391 8+903.43 8+874.45 8+924.6041 44 21 41 D 105.57 60.00 24.462 46.455 45.303 4.795 9+238.80 9+214.34 9+260.7942 54 36 59 I 70.52 30.00 15.490 28.597 27.527 3.763 9+341.90 9+326.41 9+355.0143 20 58 3 D 130.45 60.00 11.103 21.957 21.835 1.019 9+410.04 9+398.93 9+420.8944 20 31 13 D 213.65 60.00 10.861 21.489 21.374 0.975 9+540.24 9+529.38 9+550.8745 50 46 25 I 129.97 40.00 18.982 35.447 34.298 4.276 9+753.66 9+734.67 9+770.1246 11 57 6 D 163.92 60.00 6.281 12.516 12.493 0.328 9+881.11 9+874.83 9+887.3447 40 9 14 D 268.17 60.00 21.930 42.049 41.194 3.882 10+044.98 10+023.05 10+065.1048 44 7 34 I 213.12 60.00 24.318 46.209 45.075 4.741 10+311.34 10+287.03 10+333.2349 74 17 55 D 260.08 80.00 60.612 103.741 96.623 20.368 10+522.04 10+461.42 10+565.1650 48 42 27 I 319.13 50.00 22.632 42.505 41.237 4.884 10+764.63 10+742.00 10+784.5151 44 53 29 D 151.76 60.00 24.786 47.010 45.817 4.918 11+081.00 11+056.22 11+103.2352 59 42 31 I 128.30 30.00 17.219 31.263 29.868 4.590 11+230.20 11+212.98 11+244.2553 35 6 41 D 150.56 60.00 18.982 36.769 36.196 2.931 11+355.33 11+336.34 11+373.1154 43 27 17 D 82.89 50.00 19.925 37.921 37.019 3.824 11+504.69 11+484.77 11+522.6955 60 17 23 I 122.26 30.00 17.422 31.568 30.131 4.692 11+585.65 11+568.23 11+599.8056 60 29 14 I 115.44 30.00 17.491 31.671 30.221 4.727 11+704.64 11+687.15 11+718.8257 52 6 4 D 129.44 30.00 14.665 27.280 26.350 3.392 11+816.77 11+802.10 11+829.3858 51 7 8 I 158.25 60.00 28.695 53.532 51.774 6.509 11+944.16 11+915.46 11+968.99

Pi final 0 0 0 0.00 0.00 0.000 0.000 0.000 0.000 12+098.55 12+098.55 12+098.55

Az

Page 2: Elementos Geometricos de Curvas Horizontales

Coord. Relativas Coord. Absolutas UTMAngulo AZIMUT N°Cdte. Rumbo X Y X Y246.889 246.889 3 66.889 ----- ----- 682,510.74 9,318,663.66

82.752778 329.642 4 30.358 291.109 124.235 682,219.63 9,318,539.4245.274167 14.916 1 14.916 75.462 128.837 682,144.17 9,318,668.2650.397778 65.314 1 65.314 56.652 212.674 682,200.82 9,318,880.93159.80389 265.510 3 85.510 257.263 118.253 682,458.09 9,318,999.1978.050278 343.560 4 16.440 289.937 22.768 682,168.15 9,318,976.4290.599167 252.961 3 72.961 90.498 306.697 682,077.65 9,319,283.11158.95333 51.914 1 51.914 306.135 93.823 681,771.52 9,319,189.2948.961944 100.876 2 79.124 217.339 170.328 681,988.86 9,319,359.62157.46667 303.410 4 56.590 250.734 48.176 682,239.59 9,319,311.4453.309167 250.100 3 70.100 348.410 229.818 681,891.18 9,319,541.26136.05722 26.158 1 26.158 268.970 97.364 681,622.21 9,319,443.9064.539444 90.697 2 89.303 169.327 344.762 681,791.54 9,319,788.66148.54806 302.149 4 57.851 282.089 3.432 682,073.62 9,319,785.2372.023611 230.125 3 50.125 290.492 182.571 681,783.13 9,319,967.80161.81528 31.941 1 31.941 252.759 211.149 681,530.37 9,319,756.6567.586389 99.527 2 80.473 257.532 413.088 681,787.91 9,320,169.74126.34306 333.184 4 26.816 196.117 32.914 681,984.02 9,320,136.8247.701389 285.483 4 74.517 76.033 150.415 681,907.99 9,320,287.24169.85472 95.337 2 84.663 386.236 106.987 681,521.75 9,320,394.23132.75389 322.583 4 37.417 407.067 38.030 681,928.82 9,320,356.2074.606389 37.190 1 37.190 265.007 346.407 681,663.81 9,320,702.6059.793889 337.396 4 22.604 276.757 364.748 681,940.57 9,321,067.3528.450556 5.846 1 5.846 50.055 120.226 681,890.52 9,321,187.5824.333611 30.180 1 30.180 18.943 184.993 681,909.46 9,321,372.57

69.4675 320.713 4 39.287 40.444 69.545 681,949.90 9,321,442.1160.104722 20.817 1 20.817 55.843 68.257 681,894.06 9,321,510.3764.869167 315.948 4 44.052 38.748 101.912 681,932.81 9,321,612.2830.957778 346.906 4 13.094 80.892 83.615 681,851.92 9,321,695.9036.943056 23.849 1 23.849 60.847 261.597 681,791.07 9,321,957.5023.022778 0.826 1 0.826 77.368 175.011 681,868.44 9,322,132.5157.810556 303.016 4 56.984 2.540 176.102 681,870.98 9,322,308.6129.447778 273.568 4 86.432 208.054 135.193 681,662.92 9,322,443.8028.866667 302.435 4 57.565 170.189 10.612 681,492.73 9,322,454.4135.454722 337.889 4 22.111 284.506 180.793 681,208.23 9,322,635.2121.976111 315.913 4 44.087 181.589 446.960 681,026.64 9,323,082.1733.805833 349.719 4 10.281 93.175 96.193 680,933.46 9,323,178.36104.65167 245.067 3 65.067 77.011 424.562 680,856.45 9,323,602.92161.59611 46.663 1 46.663 270.753 125.867 680,585.70 9,323,477.0628.559722 75.223 1 75.223 271.711 256.375 680,857.41 9,323,733.4371.835278 3.388 1 3.388 120.247 31.719 680,977.66 9,323,765.1544.361389 47.749 1 47.749 20.280 342.570 680,997.94 9,324,107.7254.616389 353.133 4 6.867 78.144 70.983 681,076.08 9,324,178.70

20.9675 14.100 1 14.100 8.432 70.014 681,067.65 9,324,248.7220.520278 34.621 1 34.621 31.780 126.520 681,099.43 9,324,375.2450.773611 343.847 4 16.153 121.383 175.819 681,220.81 9,324,551.0511.951667 355.799 4 4.201 36.158 124.839 681,184.65 9,324,675.8940.153889 35.953 1 35.953 12.009 163.480 681,172.65 9,324,839.3744.126111 351.826 4 8.174 157.447 217.084 681,330.09 9,325,056.4674.298611 66.125 1 66.125 30.300 210.955 681,299.79 9,325,267.41

48.7075 17.418 1 17.418 237.825 105.265 681,537.62 9,325,372.6844.891389 62.309 1 62.309 95.526 304.497 681,633.14 9,325,677.1759.708611 2.600 1 2.600 134.378 70.523 681,767.52 9,325,747.7035.111389 37.712 1 37.712 5.821 128.168 681,773.34 9,325,875.8743.454722 81.166 1 81.166 92.096 119.108 681,865.44 9,325,994.9760.289722 20.877 1 20.877 81.907 12.729 681,947.35 9,326,007.7060.487222 320.390 4 39.610 43.568 114.234 681,990.92 9,326,121.9452.101111 12.491 1 12.491 73.600 88.935 681,917.31 9,326,210.8751.118889 321.372 4 38.628 27.995 126.376 681,945.31 9,326,337.25

0 321.372 4 38.628 98.790 123.627 681,846.52 9,326,460.87

Page 3: Elementos Geometricos de Curvas Horizontales

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