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TABLE IX. TANGENTS AND EXTERNALS TO A 10 CURVE <br />I <br />T <br />E <br />I=10° <br />I <br />T <br />E <br />1=20° <br />I <br />T <br />E <br />I=30° <br />1°50.00 <br />1589.0 <br />.218 <br />+ <br />It' <br />551.70 <br />26.500 <br />+ <br />21° <br />1061.9 <br />97.577 <br />+ <br />10' <br />58.34 <br />.297 <br />0 <br />5 C. <br />10' <br />560.11 <br />27.313 <br />5° C <br />10' <br />1070.6 <br />99.155 <br />0 <br />5 C. <br />20' <br />66.67 <br />.388 <br />20' <br />568.53 <br />28.137 <br />20' <br />1079.2 <br />100.75 <br />5° C <br />30' <br />75.01 <br />.491 <br />T <br />30' <br />576.9528 <br />' 974 <br />T <br />30' <br />1087.8 <br />102.35 <br />T <br />40' <br />83:34 <br />.606 <br />.03 <br />40' <br />585.36 <br />29.824 <br />,06 <br />40' <br />1096.4 <br />103.97 <br />21 <br />50' <br />91.68 <br />.733 <br />.13 <br />50' <br />593.79 <br />30.686 <br />50' <br />1105.1 <br />105.60 <br />,10 <br />E <br />E <br />E <br />2° <br />100.01 <br />.873 <br />.001 <br />12° <br />602.21 <br />31.561 <br />.006 <br />220 <br />1113.7 <br />107.24 <br />.013 <br />10' <br />108.35 <br />1.024 <br />10' <br />610.64 <br />32.447 <br />10' <br />1122.4 <br />108.90 <br />20' <br />116.68 <br />1.188 <br />20' <br />619.07 <br />33.347 <br />' <br />20' <br />1131.0 <br />110.57 <br />30' <br />125.02 <br />1.364 <br />30' <br />627.50 <br />34.259 <br />-_ <br />30' <br />1139.7 <br />112.25 <br />40' <br />133.36 <br />1.552 <br />40' <br />635.03 <br />35.183 <br />40' <br />40' <br />1148.4 <br />113.95 <br />2835.9 <br />663.4 <br />50' <br />141.70 <br />1.752 <br />50'' <br />644.37 <br />36.120 <br />50' <br />1157.0 <br />115.66 <br />P <br />150.04 <br />1.964 <br />10' C. <br />13° <br />652.81 <br />37.070 <br />10° C.. <br />230 <br />1165.7 <br />117.38 <br />10° C. <br />10' <br />158.38 <br />2.188T <br />T <br />10' <br />661.25 <br />38.031 <br />T <br />10' <br />1174.4 <br />119.12 <br />T <br />20' <br />166.72 <br />2.425 <br />06 <br />20' <br />669.70 <br />39.006 <br />I3 <br />20' <br />1183.1 <br />120.87 <br />42 <br />30' <br />175.06 <br />2.674 <br />. <br />30' <br />678.15 <br />39.993 <br />30' <br />1191.8 <br />122.63 <br />.19 <br />40' <br />183.40 <br />2.934 <br />E <br />40' <br />686.60 <br />40.992 <br />E <br />40' <br />1200.5 <br />124.41 <br />E <br />50' <br />191.74 <br />3.207 <br />,003 <br />50' <br />695.06 <br />42.004 <br />,011 <br />50' <br />1209.2 <br />126.20 <br />,025 <br />1° <br />200.08 <br />3.492 <br />14°' <br />703.51 <br />43.029 <br />240 <br />1217.9 <br />128.00 <br />10' <br />208.43 <br />3.790 <br />10' <br />711.97 <br />44.066 <br />10' <br />1226.6 <br />129.82 <br />20' <br />216.77 <br />4.099 <br />20' <br />20' <br />720.44 <br />45.116 <br />2940.4 <br />20' <br />1235.3 <br />131.65 <br />30' <br />225.12 <br />4.421 <br />30' <br />728.90 <br />46.178 <br />30' <br />1244.0 <br />133.50 <br />40' <br />233.47 <br />4.755 <br />40' <br />737.37 <br />47.253 <br />40' <br />1252.8 <br />135.35' <br />b0' <br />241.81 <br />5.100 <br />150 C. <br />MY <br />745.85 <br />48.341 <br />150 C. <br />' b0' <br />1261.5 <br />137.23 <br />l5° C. <br />6° <br />250.16 <br />5.459 <br />T <br />15° <br />754.32 <br />49.441 <br />T <br />260 <br />1270.2 <br />139.11 <br />T <br />10'. <br />258.51 <br />5.829 <br />.09 <br />10' <br />762.80 <br />50.554 <br />.19 <br />10' <br />1279.0 <br />141.01 <br />,29 <br />20' <br />266.86 <br />6.211 <br />F; <br />20' <br />771.29 <br />51.679 <br />E <br />20' <br />1287.7 <br />142.93 <br />E <br />30' <br />275.21 <br />6.606 <br />'070 <br />30' <br />779.77 <br />52.818 <br />•116 <br />30' <br />1296.5 <br />144.85 <br />•168 <br />40' <br />283.57 <br />7.013 <br />,004 <br />40' <br />788.26 <br />53.969 <br />•017 <br />40' <br />1305.3 <br />146.79 <br />•038 <br />50' <br />291.92 <br />7.432 <br />50' <br />796.75 <br />55.132 <br />50' <br />1314.0 <br />148.75 <br />1° <br />300.28 <br />7.863 <br />10' <br />16° <br />805.25 <br />56.309 <br />2441.9 <br />260 <br />1322.8 <br />150.71 <br />_ -- <br />20' <br />1880.1 <br />10' <br />308.64 <br />8.307 <br />10' <br />813.75 <br />57.498 <br />10' <br />1331.6 <br />152.69 <br />20' <br />316.99 <br />8.762 <br />200 C <br />20' <br />822.25 <br />58.699 <br />L. <br />20' <br />1340.4 <br />154.69 <br />200 Q40' <br />30' <br />325.35 <br />9.230 <br />20030' <br />C. <br />40' <br />830.76 <br />59.914 <br />20• C' <br />' <br />3040' <br />1349.2 <br />156.70 <br />40' <br />333.71 <br />9.710 <br />T <br />40' <br />839.27 <br />61.141 <br />T <br />50' <br />1358.0 <br />158.72 <br />20° C.- <br />50' <br />342.08 <br />10.202 <br />T <br />50' <br />847.78 <br />62.381 <br />T <br />50' <br />1366.8 <br />160.76 <br />T. <br />1° <br />350.4410 <br />.707 <br />.13 <br />E <br />17° <br />856.30 <br />63.634 <br />.26 <br />27° <br />1375.6 <br />162.81 <br />39 <br />10' <br />358.81 <br />11.224 <br />.093 <br />10' <br />864.82 <br />04.000E <br />.151 <br />10' <br />1384.4 <br />164.86 <br />E <br />20' <br />367.17 <br />11.753 <br />.006 <br />20' <br />873.35 <br />66.178 <br />.022 <br />20' <br />1393.2 <br />166.95 <br />.051 <br />30' <br />375.54 <br />12.294 <br />30' <br />881.88 <br />67.470 <br />30' <br />1402.0 <br />169.04 <br />40' <br />383.91 <br />12.847 <br />50' <br />40' <br />890.41 <br />68.774 <br />3165.1 <br />40' <br />1410.9 <br />171.15 <br />50' <br />392.28 <br />13.413 <br />50' <br />898.95 <br />70.091 <br />50' <br />1419.7 <br />173.27 <br />3176.0 <br />921.4 <br />=- <br />1° <br />400.66 <br />13.991 <br />25s C. <br />180 <br />907.49 <br />71.421 <br />25s C. <br />28° <br />1428.6 <br />175.41 <br />260 C. <br />10' <br />409.03 <br />14.582 <br />s <br />25 C. <br />10' <br />916.03 <br />72.764 <br />25 0 C. <br />10' <br />1437.4 <br />177 55 <br />T <br />20' <br />417.41 <br />15.184 <br />T <br />20' <br />924.58 <br />74.119 <br />T <br />20' <br />1446.3 <br />179.72 <br />250 <br />C. <br />30' <br />425.79 <br />15.799 <br />T <br />30' <br />933.13 <br />75.488 <br />T <br />30' <br />1455.1 <br />181.89 <br />T <br />40' <br />434.17 <br />16.426 <br />16 <br />40' <br />941.69 <br />70.869 <br />32 <br />40' <br />1464.0 <br />184.08 <br />E <br />50' <br />442.55 <br />17.065 <br />E <br />50' <br />950.25 <br />78.264 <br />.189 <br />50' <br />1472.9 <br />186.29 <br />,40 <br />10 <br />2038.4 <br />351.8 <br />10' <br />2621.2 <br />571.1 <br />E <br />10' <br />3252.7 <br />858.9 <br />E <br />1° <br />450.93 <br />17.717 <br />•007 <br />19° <br />958.81 <br />79.671 <br />.028 <br />290 <br />1481.8 <br />188.51 <br />.065 <br />10' <br />459.32 <br />18.381 <br />10' <br />967.38 <br />81.092 <br />10' <br />1490.7 <br />190.74 <br />20' <br />467.71 <br />10.058 <br />40' <br />20' <br />975.96 <br />82.525 <br />40' <br />20' <br />1499.6 <br />192.99 <br />30' <br />476.10 <br />19.746 <br />30' <br />984.53 <br />83.972 <br />30' <br />1508.5 <br />195.25 <br />3296.9 <br />880.8 <br />-- <br />40' <br />484.49 <br />20.447 <br />40' <br />993.12 <br />85.431 <br />40' <br />1517.4 <br />197.53 <br />50' <br />492.88 <br />21.161 <br />10' <br />50' <br />1001.7 <br />86.904 <br />10' <br />50' <br />1526.3 <br />199.82 <br />10' <br />LW <br />501.28 <br />21.887 <br />300 C. <br />20° <br />1010.3 <br />88.389 <br />300 C. <br />30° <br />1535.3 <br />202.12 <br />300 C. <br />10' <br />609.68 <br />22.624 <br />T <br />10' <br />1018.9 <br />89.888 <br />T <br />10' <br />1544.2 <br />204.44 <br />T <br />20' <br />518.08 <br />23.375 <br />.19 <br />20' <br />1027.5 <br />91.399 <br />3g <br />20' <br />1553.1 <br />206.77 <br />40' <br />30' <br />526.48 <br />24.138 <br />E <br />30',1036.1 <br />384.1 <br />92.924 <br />E <br />30' <br />1562.1 <br />209.12 <br />,59 <br />E <br />40' <br />534.89 <br />24.913 <br />40' <br />1044.7 <br />94.462 <br />4W <br />1571.0 <br />211.48 <br />50' <br />543.29 <br />25.700 <br />•008 <br />50' <br />1053.3 <br />96.013 <br />.034 <br />50' <br />1580.0 <br />213.86 <br />.078 <br />T- R tan % i E=R eaece % I <br />TABLE IX, TANGENTS AND EXTERNALS TO A 10 CURVE <br />I <br />T <br />E <br />1=40° <br />I <br />T <br />E <br />I=50° <br />I <br />T I <br />E <br />1=00° <br />31° <br />1589.0 <br />216.3 <br />+ <br />41' <br />2142.2 <br />387.4 <br />+ <br />61° 2732.9 <br />618.4 <br />+ <br />10' <br />1598.0 <br />218.7 <br />5° C. <br />10' <br />2151.7 <br />390.7 <br />50 C. <br />10' 2743.1 <br />622.8 <br />0 <br />5 C. <br />20' <br />1606.9 <br />221.1 <br />20' <br />2161.2 <br />394.1 <br />20' <br />2753.4 <br />627.2 <br />30 ' <br />1615.9 <br />223.5 <br />T <br />30' <br />2170.8 <br />397.4 <br />T <br />30' <br />2763.7 <br />631.7 <br />T <br />40' <br />1624.9 <br />226.0 <br />40' <br />2180.3 <br />400.8 <br />17 <br />40' <br />2773.9 <br />636.2 <br />21 <br />50' <br />1633.9 <br />228.4 <br />.13 <br />50' <br />2189.9 <br />404.2 <br />50' <br />2784.2 <br />640.7 <br />E <br />E <br />E <br />82° <br />1643.0 <br />230.9 <br />'.023 <br />42° <br />2199.4 <br />407.6 <br />.037 <br />620 <br />2794.0 <br />645.2 <br />.056 <br />10' <br />1652.0 <br />233.4 <br />10' <br />2209.0 <br />411.1 <br />10' <br />2804.9 <br />649.7 <br />20 <br />1661.0 <br />235.9 <br />20' <br />2218.6 <br />414.5 <br />' <br />20' <br />2815.2 <br />654.3 <br />30' <br />1670.0 <br />238.4 <br />30' <br />2228.1 <br />418.0 <br />30' <br />2825.6 <br />658.8 <br />40' <br />1679.1 <br />241.0 <br />40' <br />2237.7 <br />421.4 <br />40' <br />2835.9 <br />663.4 <br />50' <br />1688.1 <br />243.5, <br />50' <br />2247.3 <br />425.0 <br />50' <br />2846.3 <br />668.0 <br />83• <br />1697.2 <br />246.1 <br />10° C. <br />430 <br />2257.0 <br />.428-511()* <br />C. <br />W. <br />2856.7 <br />672.7 <br />10° C. <br />.10' <br />1706.3 <br />'248.7 <br />T <br />10' <br />2266.6 <br />432.0 <br />T <br />10'2867.1 <br />677.3 <br />T <br />20' <br />1715.3 <br />251.3 <br />26 <br />20' <br />2276.2 <br />435.6 <br />20' <br />2877.5 <br />682.0 <br />42 <br />30' <br />1724.4 <br />253.9 <br />30' <br />2285.9 <br />439.2 <br />30' <br />2888.0 <br />686.7 <br />40' <br />1733.5 <br />256.5 <br />E <br />40' <br />2295.6 <br />442.8 <br />E <br />40' <br />2898.4 <br />691.4 <br />E <br />E <br />50' <br />1742.6 <br />259.1 <br />,048 <br />50 <br />2305.2 <br />446.4 <br />,075 <br />50' <br />2908.9 <br />696.1 <br />i ,112 <br />84° <br />1751.7 <br />261.8 <br />440 <br />2314.9 <br />450.0 <br />64°' <br />2919.4 <br />700.9 <br />10' <br />1760.8 <br />264.5 <br />10' <br />2324.6 <br />453.6 <br />10' <br />2929.9 <br />705.7 <br />20' <br />1770.0 <br />267.2 <br />20' <br />2334.3 <br />457.3 <br />20' <br />2940.4 <br />710.5 <br />30' <br />1779.1 <br />269.9 <br />30' <br />2344.1 <br />461.0 <br />30' <br />2951.0 <br />715.3 <br />40' <br />1788.2 <br />272.6 <br />40' <br />2353.8 <br />464.6 <br />40' <br />2961.5 <br />720.1 <br />50' <br />1797.4 <br />275.3 <br />150 C. <br />50' <br />2363.5 <br />468.4 <br />1.5-C). <br />b1Y <br />2972.1 <br />725.0 <br />15° C. <br />35° <br />1806.6 <br />278.1 <br />T <br />46° <br />2373.3 <br />472.1 <br />T <br />650 <br />2982.7 <br />729:9 <br />T <br />10' <br />1815.7 <br />280.8 <br />.40 <br />10' <br />2383.1 <br />475.8 <br />.51 <br />10' <br />2993.3 <br />734.8 <br />.63 <br />20' <br />1824.9 <br />283.6 <br />1, <br />20' <br />2392.8 <br />479.6 <br />E <br />20' <br />3003.9 <br />739.7 <br />E <br />30' <br />40' <br />1834.1 <br />1843.3 <br />286.4 <br />289.2 <br />'070 <br />30' <br />40' <br />2402.6 <br />2412.4 <br />483.4 <br />487.2 <br />•116 <br />30' <br />40' <br />3014.5 <br />3025.2 <br />744.6 <br />749.6 <br />•168 <br />50' <br />1852.5 <br />292.0 <br />b0' <br />2422.3 <br />491.0 <br />b0' <br />3036.8 <br />754.6 <br />86° <br />1861.7 <br />294.9 <br />460 <br />2432.1 <br />494.8 <br />66° <br />3046.6 <br />759.8 <br />10' <br />1870.9 <br />297.7 <br />10' <br />2441.9 <br />498.7 <br />10' <br />3057.2 <br />764.6 <br />20' <br />1880.1 <br />300.6 <br />20' <br />2451.8 <br />502.5 <br />20' <br />3067.9 <br />769.7 <br />30 <br />1889.4 <br />303.5 <br />200 C <br />30' <br />2461.7 <br />506.4 <br />L. <br />30' <br />3078.7 <br />774.7 <br />200 Q40' <br />1898.6 <br />306.4 <br />40' <br />2471.5 <br />510.3 <br />40' <br />3089.4 <br />779.8 <br />50' <br />1907.9 <br />309.3 <br />T <br />50' <br />2481.4 <br />514.3 <br />T <br />50' <br />3100.2 <br />784.9 <br />T <br />87° <br />1917.1 <br />312.2 <br />•� <br />47° <br />2491.3 <br />518.2, <br />*� <br />E <br />57° <br />3110.9 <br />790.1 <br />84 <br />E <br />10' <br />1926.4 <br />315.2 <br />E <br />11Y <br />2501.2 <br />522.2 <br />10' <br />3121.7 <br />795.2 <br />20' <br />1935.7 <br />318.1 <br />.093 <br />20' <br />2511.2 <br />526.1 <br />.151 <br />20' <br />3132.6 <br />800.4 <br />•225 <br />30' <br />1945.0 <br />321.1 <br />30' <br />2521.1 <br />530.1 <br />30' <br />3143.4 <br />805.6 <br />40' <br />1954.3 <br />324.1 <br />40' <br />2531.1 <br />534.2 <br />40' <br />3154.2 <br />810.9 <br />50' <br />1963.6 <br />327.1 <br />50' <br />2541.0 <br />538.2 <br />50' <br />3165.1 <br />816.1 <br />88° <br />1972.9 <br />330.2 <br />48° <br />2551.0 <br />542.2 <br />580 <br />3176.0 <br />921.4 <br />10' <br />1982.2 <br />333.2 <br />25s C. <br />10' <br />2561.0 <br />546.3 <br />25s C. <br />10' <br />3186.9 <br />826.7 <br />260 C. <br />20'. <br />1991.5 <br />336.3 <br />20' <br />2571.0 <br />550.4 <br />20' <br />3197.8 <br />832.0 <br />T <br />30' <br />2000.9 <br />339.3 <br />T <br />30' <br />2581.0 <br />554.5 <br />T <br />30' <br />40' <br />3208.8 <br />637.3 <br />842.7 <br />40' <br />2010.2 <br />342.4 <br />67 <br />40' <br />2591.0 <br />558.6 <br />,85 <br />3219.7 <br />1.05 <br />b0 <br />2019.6 <br />345.5 <br />E <br />50' <br />2601.1 <br />582.8 <br />F <br />50' <br />3230.7 <br />848.1 <br />E <br />"902029 <br />348.6 <br />.117 <br />49° <br />2611.2 <br />566.9 <br />.189 <br />59° <br />3241.7 <br />853.5 <br />•283 <br />10 <br />2038.4 <br />351.8 <br />10' <br />2621.2 <br />571.1 <br />10' <br />3252.7 <br />858.9 <br />20' <br />2047.8 <br />354.9 <br />20' <br />2631.3 <br />575.3 <br />20' <br />3263.7 <br />864.3 <br />30'• <br />2057.2 <br />358.1 <br />30' <br />2641.4 <br />579.5 <br />30' <br />3274.8 <br />869.8 <br />40' <br />2066.0 <br />361.3 <br />40' <br />2651.5 <br />583.8 <br />40' <br />3285.8 <br />875.3 <br />50' <br />2076.0 <br />364.5 <br />50' <br />2661.6 <br />588.0 <br />50' <br />3296.9 <br />880.8 <br />40° <br />2085.4 <br />367.7 <br />30° C' <br />501 <br />2671.8 <br />592.3 <br />30° C. <br />60° <br />3308.0 <br />886.4 <br />00 C. <br />10' <br />2094.9 <br />371.0 <br />T <br />10' <br />2681.9 <br />596.6 <br />T <br />10' <br />3319.1 <br />892.0 <br />T <br />20' <br />2104.3 <br />374,2 <br />80 <br />20' <br />2692.1 <br />600.9 <br />1.02 <br />20' <br />3330.3 <br />897.5 <br />1,27 <br />30' <br />2113.8 <br />377.5 <br />E <br />30' <br />2702.3 <br />605.3 <br />. F <br />30' <br />3341.4 <br />903.2 <br />E <br />40' <br />2123.3 <br />380.8 <br />40' <br />2712.5 <br />609.4 <br />40' <br />3352.6 <br />908.8 <br />50' <br />2132.7 <br />384.1 <br />:141 <br />50' <br />2722.7 <br />614.0 <br />•227 <br />50' <br />3363.8 <br />914.5 <br />•340 <br />T= R tan ', j I E= R easec '/Z I <br />