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TABLE VI. -TANGENTS AND EXTEB.NALB T4 A V CURVE <br />Central Tangent External Central Tangent External Central Tangent External <br />Angle Angle Angle <br />1° <br />60.00 <br />.22 <br />11° <br />551.70 <br />26.50 <br />31° <br />1001.9 <br />97.57 <br />10' <br />56.34 <br />,30. <br />10' <br />560.11 <br />27.31 <br />10' <br />1070.6 <br />99.16 <br />20 <br />68.67 <br />.39 <br />20 <br />568.53 <br />28..14 <br />20 <br />1079,2 <br />100,75 <br />30 <br />76.01 <br />.49 <br />30 <br />576.95 <br />28.97 <br />30 <br />1087,8 <br />102.35 <br />40 <br />83.34 <br />.61 <br />40 <br />585.36 <br />29.82 <br />40 <br />1096.4 <br />103.97 <br />50 <br />91.68 <br />.73 <br />50 <br />593.79 <br />30.68 <br />50 <br />1105.1 <br />105.60 <br />11 <br />100.01 <br />1.87 <br />18 <br />602.21 <br />31.56 <br />22 <br />1113,7 <br />107.24 <br />LO <br />.108.35, <br />1.02 <br />10 <br />610 64 <br />32.45 <br />10 <br />1122.4 <br />108.90 <br />20 <br />216.68 <br />1.19 <br />20 <br />619_,07 <br />33.35 <br />20 <br />1131,0 <br />•110.57 <br />30 <br />125.02 <br />1.36 <br />30 <br />627.50 <br />34.26 <br />30 <br />1139.7 <br />112.25 <br />40 <br />.133.36 <br />1.55 <br />40 <br />635.93 <br />35.18 <br />40 <br />1148.4 <br />113.95 <br />50 <br />141.70 <br />,1.75 <br />50 <br />644.37 <br />38.12 <br />50 <br />1157.0 <br />115.66 <br />3 <br />150.04 <br />-1.96 <br />13' <br />662.81 <br />37.07 <br />83 <br />1165.7 <br />117.38 <br />.10 <br />.158.38 <br />2.19 <br />10 <br />661.25 <br />38.03 <br />10 <br />1174.4 <br />119.12 <br />20 <br />166.72 <br />2'.43 <br />20 <br />669.70 <br />39.01 <br />20 <br />1183.1 <br />120.87 <br />30 <br />175.06 <br />2.67 <br />30 <br />67H.15 <br />39.99 <br />30 <br />1191.8 <br />122.63 <br />40 <br />183.40 <br />'" 2'.93 <br />40 <br />686:60 <br />40.99 <br />40 <br />1200.6 <br />124.41 <br />50 <br />191.74 <br />3.21 <br />50 <br />695,06, <br />42.00. <br />50 <br />1209.2 <br />126.20 <br />4 <br />200.08 <br />3.49 <br />16. <br />703.51 <br />43.03 <br />24 <br />1217.9 <br />128.00 <br />10 <br />208.43 <br />3'. 79 <br />10 <br />711.97 <br />44.07 <br />10 <br />1226.6 <br />129.82 <br />20 <br />216.77 <br />4.10 <br />20 <br />720.44 <br />45.12 <br />20 <br />1235.3 <br />131.85 <br />30 <br />225.12 <br />4.42 <br />30 <br />728,90 <br />46,18 <br />.30 <br />1244.0 <br />133.50 <br />40 <br />.233.47 <br />4•.76 <br />40 <br />737.37 <br />47.25 <br />40 <br />1252.8 <br />135.35 <br />50 <br />241.81 <br />5.10 <br />50 <br />745.85 <br />48.34 <br />50 <br />1261.5 <br />137.23 <br />6 <br />250.16 <br />5.46 <br />15: <br />754,32 <br />.49.44 <br />25. <br />1270.2 <br />139.11 <br />10 <br />258.51 <br />5.83 <br />10 <br />762,80 <br />50,55 <br />10 <br />1279.0 <br />141.01 <br />20 <br />266.86 <br />6.21 <br />20 <br />771,29 <br />5 L 68 <br />20 <br />1287.7 <br />142,93 <br />90 <br />275.21 <br />6.61 <br />•30 <br />779.77 <br />52.89 <br />30 <br />1296.5 <br />144.85 . <br />20 <br />283.57 <br />7.01 <br />40 <br />788.26 <br />53,97 <br />40 <br />1305.3 <br />146.79 <br />•40 <br />50 <br />291.92 <br />7.43 <br />50 <br />796.75 <br />55.13 <br />50 <br />1314.0 <br />148.75 <br />6 <br />300.28 <br />7.86 <br />16 <br />805.25 <br />56.31 <br />26 <br />1322.8 <br />150.71 <br />10 <br />308.64 <br />8.31 <br />10 <br />813.75 <br />57.50, <br />10 <br />1331.6 <br />152.69 <br />20 <br />916.99 <br />8.76 <br />20 <br />622.25 <br />58 70, <br />20 <br />1340.4 <br />154.69 <br />30 <br />825.35 <br />9.23 <br />30 <br />830.76-' <br />-59.91 <br />30 <br />1349.2 <br />166.70 <br />40 <br />333.71 <br />'9.7.1 <br />40 <br />839.27 <br />61.14 <br />40 <br />1358.0 <br />168.72 <br />50 <br />342.08 <br />10.20 <br />50 <br />847.78, <br />62.38 <br />50 <br />1366.8 <br />160.76 <br />7 <br />350,44 <br />10.71 <br />17 <br />856.30 <br />'63.63 <br />27 <br />1375.6 <br />162.81 <br />10 <br />.358.81- <br />11'.22 <br />10 <br />864,82 <br />64.90 <br />10 <br />1394.4 <br />164.86• <br />20 <br />387.17 <br />11.75 <br />20 <br />673.35 <br />66, IS <br />20 <br />1393.2 <br />166.95 <br />30 <br />375.54 <br />12.29 <br />30 <br />681.88 <br />'67.47 <br />30 <br />1402-0 <br />.169.04 <br />40 <br />383.91 <br />12.85 <br />40 <br />890.41 <br />68.77 <br />40 <br />1410.9 <br />171.15 <br />80 <br />392.28 <br />13.41, <br />50 <br />898.95 <br />70.09 <br />60 <br />1419.7 <br />173.27 <br />8 <br />400.66 <br />13.99 <br />10 <br />907.49 <br />71,42 <br />28 <br />1428.6 <br />175.41 <br />10 <br />409.03 <br />14.58 <br />10 <br />916.03 <br />72.76 <br />10 <br />1437.4 <br />177.55 <br />20 <br />417.41 <br />15.18 <br />20 <br />024.68 <br />74.12 <br />20 <br />1446.3 <br />179.72 <br />30 <br />425.79 <br />15.00 <br />80 <br />033.13 <br />75.49 <br />30 <br />1455.1 <br />ISL B9. <br />40 <br />434.17 <br />16.43 <br />40 <br />941.69 <br />76.86 <br />40 <br />1464.0 <br />184.09 <br />50 <br />442.55 <br />17.07 <br />50 <br />950.25 <br />78.26 <br />50 <br />1472.9 <br />188.29 <br />0 <br />460,93 <br />17.72 <br />19 <br />958.81 <br />79.67 <br />89 <br />1481.8 <br />188.51 <br />10 <br />459.32 <br />18.38 <br />10 <br />967,38 <br />.81.09 <br />10 <br />1490.7 <br />190.74 <br />20 <br />467.71 <br />19.06 <br />20 <br />975.96 <br />82.53 <br />20 <br />1499.6 <br />192.99 <br />30 <br />476.10 <br />19.75 <br />30 <br />984.53 <br />83.97 <br />30 <br />1508.5 <br />195.25 <br />40 <br />484.49 <br />26.45 <br />40 <br />993.12 <br />83.43 <br />40 <br />1517.4 <br />197.53 <br />50 <br />492.88 <br />21.16 <br />50 <br />1001.7 <br />86.90 <br />50 <br />1526.3 <br />199.82 <br />.10 <br />501,28 <br />21.89 <br />20 <br />1010.3 <br />88,39 <br />50 <br />1535.3 <br />202.12 <br />10 <br />509.68 <br />22.62 <br />10 <br />1018.9 <br />89.89 <br />LO <br />1544.2 <br />204,44 <br />20 <br />618.08 <br />23.39 <br />20 <br />1027.5 <br />91.40 <br />20 <br />1553.1 <br />206.77 <br />30 <br />626.48 <br />24.14 <br />30 <br />1036.1 <br />92.92 <br />30 <br />1562.1 <br />209.12 <br />40 <br />534.89 <br />24.91 <br />40 <br />1044.7 <br />94.46 <br />40 <br />1571.0 <br />211.48 <br />50 <br />643.29 <br />25.70 <br />50 <br />1053.3 <br />96.01 <br />50 <br />1590.0 <br />213.86 <br />30 <br />TABLE VI.-TANGtNT9 kkb ExTE1iNALS Tb A 1° Ci11tVE <br />136ntiBl <br />Tangent <br />Eiternal <br />Central <br />Tangent <br />Exteinsl <br />Central <br />Tangent <br />Eiteirial <br />Angle <br />AiW6 <br />Angle <br />81° <br />'1589.0 <br />216.3 <br />41° <br />2142.2 <br />387.4 <br />610 <br />2732.9 <br />618.4 <br />10: <br />1598,0 <br />218.7 <br />10' <br />2151;7 <br />396.7 <br />10' <br />2743.1 <br />622.8 <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 />30 <br />2170.8 <br />397.4 <br />30 <br />2763,7 <br />631.7 <br />•40 <br />1624.9 <br />226.0 <br />40 <br />2180.3 <br />400.8 <br />40 <br />2773.9 <br />636.2 <br />50 <br />1633.9 <br />.228.4. <br />50 <br />2189.9, <br />404.2 <br />50 <br />2784,2 <br />640.7 <br />88 <br />1643.6 <br />230.9 <br />42 <br />2199.A <br />407,6 <br />482794.5 <br />646.2 <br />10 <br />1652. 0, <br />233.4 <br />LO <br />2209.0 <br />411.1 <br />10 <br />2804.9 <br />649.7 <br />20 <br />1661.6 <br />235.9 <br />20 <br />2218.6 <br />414.5 <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 />lO <br />2237,.7 <br />421.9 <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 />98 <br />1697.2, <br />246.1 <br />48 <br />2257.0 <br />428.5 <br />68 <br />2856,7 <br />672.7 <br />10 <br />1706.3 <br />248.7 <br />10 <br />2266:6 <br />432.0 <br />10 <br />2867.1 <br />677.3 <br />20 <br />1715.3 <br />251.3 <br />20 <br />2276.2 <br />435.6 <br />20 <br />2877.5 <br />682.0 <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 />40 <br />2295.6 <br />442.8 <br />40 <br />2898.4 <br />691,4 <br />50 <br />1742.6 <br />259.1 <br />50 <br />2305.2 <br />446.4 <br />50 <br />2908:9 <br />696.1 <br />34 <br />1751.7 <br />261.9 <br />44 <br />2314,9 <br />450.0 <br />04 <br />2919.4 <br />700.9' <br />10 <br />1760.3 <br />204.5 <br />10 <br />2324.6 <br />453.6 <br />10 <br />2929.9 <br />705.7 <br />20 <br />1770.0 <br />207:2 <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 />36 <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 />50 <br />2363.5 <br />468.4 <br />50 <br />2972.1 <br />725.0 <br />98 <br />1806:6 <br />278.1 <br />45 <br />2373.3 <br />472.1 <br />852092.7 <br />729.9 <br />10 <br />1815.7 <br />280.8 <br />10 <br />2383.1 <br />475.8 <br />10 <br />2993.3 <br />734.8 <br />20 <br />1824.9 <br />283.6 <br />26 <br />2392.8' <br />479.4 <br />20 <br />3003.9 <br />739.7 <br />30 <br />1834.1 <br />286.4 <br />36 <br />2402.6 <br />483:8 <br />36 <br />3014.5 <br />744.6 <br />40 <br />L843.3 <br />289.2 <br />40 <br />24.12,4 <br />487.2 <br />40 <br />3025.2 <br />749.6 <br />50 <br />1852.6 <br />292.0 <br />50 <br />2422.8 <br />491.0 <br />50 <br />3035.8 <br />•754.6 <br />98 <br />1861.7 <br />294.9 <br />46 <br />2432:1 <br />494.8 <br />56• <br />3048.5 <br />759..6 <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 />30 <br />2461.7 <br />506,4 <br />30 <br />3078.7 <br />774.7 <br />40 <br />1898.6 <br />306.4 <br />40 <br />2471.5 <br />510:3 <br />40 <br />3089,4 <br />779.8 <br />60 <br />1907.9 <br />309.3 <br />50 <br />2481.4 <br />514,3 <br />50 <br />3100.2 <br />784.9 <br />97 <br />1917.1 <br />312.2' <br />44 <br />2491.3 <br />518.2 <br />87 <br />3710.9 <br />790.1 <br />30 <br />1926.4 <br />315.2 <br />-10 <br />2501.2 <br />522.2 <br />10 <br />3121.7 <br />795.2 <br />20 <br />1935.7 <br />318,1 <br />20 <br />2511.2 <br />526.1 <br />20 <br />3132.6 <br />800.4 <br />30 <br />1945.0 <br />321.1 <br />30 <br />2521,L <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 />80 <br />3165.1 <br />816.1 <br />88 <br />1972.9 <br />.330.2 <br />48 <br />2551,0 <br />642.2 <br />88 <br />3176.0 <br />821.4 <br />10 <br />1982.2 <br />333.2 <br />10 <br />2561.0 <br />546.3 <br />10 <br />3186,9 <br />826.7 <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 />30 <br />2000.9 <br />339.3 <br />30 <br />2581.0 <br />554.5 <br />30 <br />3208.8 <br />837.3 <br />46 <br />2010.2 <br />342.4 <br />40 <br />2591.0 <br />558.0 <br />40 <br />3219,7 <br />842.7 <br />50 <br />2019.6 <br />345.5 <br />50 <br />2601.1 <br />562.8 <br />50 <br />3230.7 <br />848.1 <br />a <br />89 <br />2029.0 <br />345.6 <br />49 , <br />2611.2 <br />566.9 <br />59 <br />3241.7 <br />853.5 <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 6 <br />361,.3 <br />40 <br />2651.5 <br />583.8 <br />40 <br />3285.8 <br />875.3 <br />50 <br />2076.D <br />364.5 <br />50 <br />2661.6 <br />588.0 <br />50 <br />3296.9 <br />860.8 <br />60 <br />2085.4 <br />367.7 <br />50 <br />2671.8 <br />592.3 <br />60 <br />3308.0 <br />886.4 <br />10 <br />2094.9 <br />371.0 <br />10 <br />2681.9 <br />596.6 <br />10 <br />3319.1 <br />892.0 <br />20 <br />2104.3 <br />374.2 <br />20 <br />2692.1 <br />600.9 <br />20 <br />3330.3 <br />897.5 <br />30 <br />2113.8 <br />377.5 <br />30 <br />2702,3 <br />605.3 <br />30 <br />3541.4 <br />903.2 <br />40 <br />2123.3 <br />380.8 <br />40 <br />2712.5 <br />609.6 <br />40 <br />3352.6 <br />908.8 <br />50 <br />2122.7 <br />384.1 <br />50 <br />2722.7. <br />614.0 <br />50 <br />3363.9 <br />1 914.5 <br />