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CI R 30 <br />o 1 Feet Inch <br />0-2017189 .08 <br />0-40 8594 .16 <br />1-0 5730 .24 <br />1-20 4297 .31 <br />1-40 3438 .39 <br />2-0 2865 .47 <br />2-20 2456 .55 <br />2-40 2149 .63 <br />3-0 1910 .71 <br />3-20 1719 .78 <br />3-40 1563 .86 <br />4-0 1433 .94 <br />4-20 1323 1.02 <br />4-40 1228 1.10 <br />5 1146 I.1S <br />6 955.3 1.41 <br />7 819.0 1.65 <br />TABLE X. <br />MIDDLE ORDINATES OF RAILS <br />Length of Rail (feet) <br />28 <br />nch <br />26 <br />Inch <br />.06 <br />24 <br />Inch <br />'.05 <br />22 <br />Inch <br />.04 <br />20 <br />Inch <br />.03 <br />C <br />o <br />R <br />Feet <br />30 <br />Inch <br />28 <br />lath <br />26 <br />Inch <br />24 <br />Inch <br />22 <br />Inti <br />20 <br />Inch <br />.84 <br />.07 <br />• 8 <br />716.8 <br />1.88 <br />1.64 <br />1.42 <br />1.20 <br />1.01 <br />.14 <br />.12 <br />.10 <br />.08 <br />.07 <br />9 <br />637.3 <br />2.12 <br />1.84 <br />1.60 <br />1.35 <br />1.14 <br />.94 <br />.20 <br />.18 <br />.15 <br />.13 <br />.10 <br />10 <br />573.7 <br />2.36 <br />2.05 <br />1.78 <br />1.50 <br />1.27 <br />1.04 <br />,27 <br />.23 <br />20 <br />.17 <br />.13 <br />11 <br />521.7 <br />2.59 <br />2.26 <br />1.95 <br />1.65 <br />1.39 <br />1.15 <br />,34 <br />.29 <br />'.25..21 <br />2-59 <br />.17 <br />12 <br />478.3 <br />3.83 <br />2.47 <br />2.15 <br />1.81 <br />1.54 <br />1.26 <br />,41 <br />.35 <br />.30 <br />.25 <br />.20 <br />13 <br />441.7 <br />3.05 <br />2.66 <br />2.30 <br />1.96 <br />1.66 <br />1.36' <br />.48 <br />.41 <br />.35 <br />.29 <br />.23 <br />14 <br />410.3 <br />3.30 <br />2.87 <br />2.48 <br />2.10 <br />1.78 <br />1.46 <br />,55 <br />.47 <br />.40 <br />.33 <br />.27 <br />15 <br />383.1 <br />3:54 <br />3.08 <br />2.68 <br />2.26 <br />1.91 <br />1.57 <br />62 <br />.53 <br />.45 <br />.38 <br />.31 <br />16 <br />359.3 <br />3.76 <br />3.28 <br />2.83 <br />2.40 <br />2.04 <br />1.67 <br />.68 <br />.59 <br />.50 <br />.42 <br />.35 <br />17 <br />338.3 <br />4.00 <br />3.48 <br />3.02 <br />2.57 <br />2.16 <br />1.78 <br />,75 <br />.65 <br />.55 <br />.46 <br />.38 <br />18 <br />319.6 <br />4.21 <br />3.67 <br />3.18 <br />2.70 <br />2.28 <br />1.87 <br />82 <br />.71 <br />.60 <br />.50 <br />.42 <br />•19 <br />302.94 <br />.45 <br />3.89 <br />3.36 <br />2.86 <br />2.41 <br />1.98 <br />89 <br />.77 <br />.65 <br />• .55 <br />.45 <br />'20 <br />287.6 <br />4.70 <br />4.09 <br />3.55 <br />3.00 <br />2.54 <br />2.09 <br />96 <br />.83 <br />.70 <br />.59 <br />.48 <br />22 <br />262.0 <br />5.16 <br />4.44 <br />3.84 <br />3.30 <br />2.80 <br />2.29 <br />03 <br />.89 <br />.75 <br />.63 <br />.52 <br />24 <br />240.5 <br />5.64 <br />4.92 <br />4.20 <br />3.59 <br />304 <br />2.50 <br />23 <br />1.06 <br />90 <br />.76 <br />.62 <br />26 <br />222.3 <br />6.07 <br />5.29 <br />4.58 <br />3.88 <br />1 <br />3.29 <br />2.70 <br />.44 <br />1.2411.05 <br />0.643 <br />.89 <br />.73 <br />96.815 <br />3.185 <br />0.250 <br />45 <br />99.307 <br />0.693' <br />. <br />45 <br />TABLE XI. <br />SHORT RADIUS CURVES <br />Radius <br />Feet <br />Chord <br />Feet <br />Central <br />. Angle <br />Deflection <br />Angle <br />Deflection <br />for 1 Foot <br />35 <br />10 <br />16-26 <br />8-13 <br />49.3 <br />45 <br />10 <br />12-46 <br />6-23 <br />38.3 <br />50 <br />15 <br />17-16 <br />8-38' <br />34.5 <br />G0 <br />15 <br />14-22' <br />7-11 <br />28.8 <br />75 <br />15 <br />11-30 <br />5-45 <br />23.0 <br />100 <br />20 <br />11-30 <br />5-45 <br />17.3 <br />120 <br />'20 <br />9-34 <br />4-47 <br />14.3 <br />150 <br />20 <br />7-39 <br />3-49 <br />11.5 <br />190 <br />25 <br />7-32 <br />3-46 <br />9.15 <br />200 <br />25 <br />7-10 <br />3-35 <br />8.6 <br />.225 <br />25 <br />6-25 <br />3-12 <br />7.7 <br />240. <br />25 <br />5-58 <br />2-59 <br />7.2 <br />250 <br />25 <br />5-44 <br />2-52 <br />6.9 <br />275 <br />25 <br />5-12 <br />2-36 <br />6.2. <br />288 <br />50 <br />9-58 <br />4-59 <br />6.0 <br />300 <br />50 <br />9-32 <br />4-46' <br />5.7 <br />350 <br />50 <br />8-12 <br />4-06 <br />4.9 <br />376 <br />50 <br />7-40 <br />3-50 <br />4.6 <br />400 <br />50 <br />7-10 <br />3-35 <br />4.3 <br />410 <br />50 1 <br />7-00' <br />3-30 <br />4.2 <br />To find length of curve divide angle from P. C. to P. T. by central angle of chord, <br />and multiply' by length of chord. !+- <br />TABLE XII. <br />INCLINED DISTANCE OF 100. FT. REDUCED TO HORIZONTAL <br />Cott <br />Horizontal <br />Distance <br />Correction <br />Per Foot <br />�OPe <br />Distance <br />30'10" <br />Rise <br />Per Foot <br />0000' <br />100.000 <br />0.000 <br />0,000 <br />8°00' <br />99.027 <br />0.973 <br />0.139 <br />15' <br />99.999 <br />0.001 <br />0.004 <br />15' <br />98.965 <br />1.035 <br />0.143 <br />30' <br />99.996 <br />0.004 <br />0.009 <br />30' <br />98.902 <br />1.098 <br />.0.148 <br />45' <br />99.991 <br />0.009 <br />0.013 <br />45' <br />98.830 <br />1.164 <br />0.152 <br />1 00 <br />99.985 <br />0.015 <br />0.017 <br />9 00 <br />98.769 <br />1.231 <br />0.156 <br />15 <br />09.976 <br />0.024 <br />0.022 <br />15 <br />93.700 <br />1.300 <br />0.161 <br />30 <br />99.966 <br />0.034 <br />0.026 <br />30 <br />98.629 <br />1.371 <br />0.165 <br />45 <br />99.953 <br />0.047 <br />0.031 <br />45 <br />98.556 <br />1.444 <br />0.169 <br />2 00 <br />99.939 <br />0.061 <br />0.035 <br />10 00 <br />98.481 <br />1.519 <br />0.174 <br />15 <br />99.923 <br />0. 07 7 <br />0.039 <br />15 <br />98.404 <br />1.596 <br />0.178 <br />30 <br />99.905 <br />0.095 <br />0.044 <br />30 <br />98.325 <br />1.675 <br />0.182 <br />45•. <br />'09.885 <br />0.115 <br />0.048 <br />45 <br />98.245 <br />1.755 <br />0.187 <br />3 00 <br />99.863 <br />0.137 <br />0.052 <br />11 00 <br />98.163 <br />1.837 <br />0.191 <br />15 <br />99.839 <br />0.161 <br />0:057 <br />15 <br />98.079 <br />1.921 <br />0.195 <br />30 <br />99.813 <br />0.187 <br />0.061 <br />30 <br />97.992 ° <br />2.008 • <br />0.199 <br />45 <br />99.786 <br />0.214 <br />0.065 <br />45 <br />97.905 <br />2.095 <br />0.204 <br />4 00 <br />99.756 <br />0.244 <br />0.070 <br />1200 <br />. <br />97.810 <br />2.185 <br />0.208 <br />15 <br />99.725 <br />.0.275 <br />0.074 <br />15 <br />97.723 <br />2.277 <br />0.212 <br />30' <br />99.692 <br />0.308 <br />0.078 <br />30 <br />97.630 <br />2.370 <br />0.216 <br />45 <br />99.657 <br />0.343 <br />0.083 <br />45 <br />97.534 <br />2.466 <br />0.221 <br />5 00 <br />99.619 <br />0.381 <br />0:087 <br />13 00 <br />97.437 <br />2.563 <br />0.225 <br />15 <br />99.580 <br />0.420 <br />0.092 <br />15 <br />97.338 <br />2.662 <br />0.229 <br />30 <br />99.540 <br />0.460 <br />0.096 <br />. 30 <br />;97.237 <br />2.763 <br />0.233 <br />45 <br />99.497 <br />0.503 <br />0.100 <br />45 <br />97,134 <br />2.866 <br />0.238 <br />6 00 <br />99.452 <br />0.548 <br />0.105 <br />14 00 <br />97.030 <br />2.970 <br />0.242 <br />15' <br />99.406 <br />0.594 <br />0.109 <br />15 <br />96.923 <br />3.077 <br />0.246 <br />30, <br />99.357 <br />0.643 <br />0:113 <br />30 <br />96.815 <br />3.185 <br />0.250 <br />45 <br />99.307 <br />0.693' <br />0.118 <br />45 <br />96.705 <br />-3.295 <br />0.255 <br />7 00 <br />99.255 <br />0.745 <br />0.122 <br />15-00 <br />96.593 <br />8.407 <br />0.259 <br />15 <br />99.200 <br />0.800 <br />0.126 <br />15 <br />96.479 <br />3.521 <br />0.263 <br />30 <br />99.144 <br />0.856 <br />0.131 <br />80 <br />96.363 <br />3.637 <br />0.267 <br />45 <br />1 99.087 <br />1 0.913 <br />1 0.135 <br />45 <br />1 96:246 <br />1 3.754 <br />0.271 <br />TABLa XIII. <br />MINUTES IN DECIMALS OF A DEGREE. <br />0 30".90833 <br />10'30".17500 <br />20'80".34167 <br />30'10" <br />.60839 <br />40'30" <br />.67500 <br />50'10" <br />.84167 <br />1 00 <br />.01667 <br />11 00 <br />.18333 <br />21 00 <br />.35000 <br />31 00 <br />.51867 <br />1 00 <br />.68333 <br />51 00 <br />.85000 <br />80 <br />.02500 <br />30 <br />.19167 <br />30 <br />.35833 <br />30 <br />.52500 <br />30 <br />.69167 <br />30 <br />.85888 <br />2 00 <br />.03333 <br />12 00 <br />.20000 <br />2200 <br />.86667 <br />32 00 <br />.53333 <br />4200 <br />.70000 <br />5200 <br />.86667. <br />30 <br />.04167 <br />30 <br />.20833 <br />80 <br />.37500 <br />30 <br />.54167 <br />30 <br />.70833 <br />, 30 <br />.87500 <br />3 00 <br />.05000 <br />1800 <br />.21667 <br />23 00 <br />.383833 <br />3300 <br />.55000 <br />43 00 <br />.71667 <br />53 00 <br />.88333 <br />30 <br />.06833 <br />30 <br />.28500 <br />30 <br />.39167 <br />30 <br />.55833 <br />30 <br />.7250t1 <br />30 <br />.89167 <br />4 00 <br />.06667 <br />1400 <br />.23333 <br />2400 <br />.40000 <br />34 00 <br />.56667 <br />4400 <br />.73333 <br />54 00 <br />.90000 <br />30 <br />.07500 <br />30 <br />.24167 <br />30 <br />.40833 <br />80 <br />.5750U <br />30 <br />.74167 <br />30 <br />,90833 <br />600 <br />.08383 <br />15 00 <br />.26000 <br />25 00 <br />.41667 <br />3500 <br />.56333 <br />4500 <br />.75000 <br />5500 <br />.91667 <br />80 <br />.09167 <br />30 <br />.25833 <br />30 <br />.42500 <br />30 <br />.59167 <br />30 <br />.75833 <br />30 <br />.92500 <br />6 00 <br />.10000 <br />1600 <br />.26667 <br />2600 <br />.43333 <br />3600 <br />.60000 <br />46 00 <br />.76667 <br />56 00 <br />.93333 <br />30 <br />.10833 <br />30 <br />.27500 <br />80 <br />.44167 <br />80 <br />.60833 <br />so <br />.77600 <br />30 <br />.94167 <br />7 00 <br />.11667 <br />17 00 <br />.283.9.9 <br />2700 <br />.45000 <br />37 00 <br />.61667 <br />47 00 <br />.7833.'. <br />57 00 <br />.95000 <br />30 <br />.12500 <br />30 <br />.29167 <br />30 <br />.458.93 <br />30 <br />.62500 <br />30 <br />.79167 <br />30 <br />.95833 <br />8 00 <br />.13333 <br />1800 <br />.80000 <br />28 00 <br />.46667 <br />36 00 <br />.63333 <br />48 00 <br />.80000 <br />58 OU <br />98867 <br />30 <br />.14167 <br />30 <br />.30833 <br />80 <br />.47500 <br />30 <br />.64167 <br />30 <br />.80833 <br />30 <br />.97500 <br />9 00 <br />.15000 <br />19 00 <br />.31667 <br />29 00 <br />.48333 <br />39 00 <br />.65000150 <br />49 00 <br />.81667 <br />59 00 <br />.98333 <br />80 <br />.15833 <br />30 <br />.32500 <br />30 <br />.49167 <br />30 <br />.65838 <br />30 <br />.82500 <br />30 <br />.99167 <br />10 00 <br />1.166671120.0-0 <br />.33333 <br />30.00 <br />.*411111100 <br />.50000 <br />4000 <br />.66667 <br />00 <br />.83333 <br />60 00 <br />11.00000 <br />J <br />