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TABLE VI. -TANGENTS AND EXTERNALS TO A 1° CURVE <br />Central <br />Angle <br />Tangent <br />External <br />Central <br />Angle <br />Tangent <br />External <br />Central <br />Angle <br />Tangent <br />External <br />61° <br />3375.0 <br />920.2 <br />TV <br />4086.9 <br />1308.2 <br />81° <br />4893.6 <br />1805.3 <br />10' <br />3386.3 <br />925.9 <br />10' <br />4099.5 <br />1315.6 <br />10' <br />4908.0 <br />1814.7 <br />20 <br />3397.5 <br />931.6 <br />20 <br />4112.1 <br />1322.9 <br />20 <br />4922.5 <br />1824.1 <br />30 <br />3408.8 <br />937.3 <br />30 <br />4124.8 <br />1330.3 <br />30 <br />4937.0 <br />1833.6 <br />40 <br />3420.1 <br />943.1 <br />40 <br />4137.4 <br />1337.7 <br />40 <br />4951.5 <br />'1843.1 <br />50 <br />3431.4. <br />948.9 <br />50 <br />4150.1 <br />1345.1 <br />50 <br />4966.1 <br />1852.6 <br />69 <br />3442.7. <br />954.8 <br />78 <br />4162.8 <br />1352.6 <br />88 <br />4980.7 <br />1862.2 <br />10 <br />3454:1 <br />960.6 <br />10 <br />4175.6 <br />1360.1 <br />- 10 <br />4995.4 <br />1871.8 <br />20 <br />3465.4 <br />966.5 <br />20 <br />4188.5 <br />1367.6 <br />20 <br />5010.0 <br />1881.5 <br />30 <br />3476.8 <br />972.4 <br />30 <br />4201.2 <br />1375.2 <br />30 <br />5024.8 <br />1891.2 <br />.40 <br />3488.3 <br />978.3 <br />40 <br />4214.0 <br />1382.8 <br />40 <br />5039.5 <br />1900.9 <br />50, <br />3499.7 <br />984.3 <br />50 <br />4226.8 <br />1390.4 <br />50 <br />5054.3 <br />1910.7 <br />68 <br />3511.1 <br />990.2 <br />73 <br />4239.7 <br />1398.0 <br />83 <br />8069.2 <br />1920.5 <br />10 <br />3522.6 <br />, 996.2 <br />10 <br />4252.6 <br />1405.7 <br />10 <br />5084.0 <br />1930.4 <br />20 <br />.3534.1 <br />1002.3 <br />20 <br />4265.6 <br />1413.5 <br />20 <br />5099.0 <br />1940.3 <br />30 <br />-3545.6 <br />1008.3 <br />30 <br />4278.5 <br />1421.2 <br />30 <br />5113.9 <br />1950.3 <br />40• <br />3557.2 <br />1014.4 <br />40 <br />4291.5 <br />1429.0 <br />40 <br />5128.9 <br />1960.2 <br />50 <br />3568.7 <br />1020.5 <br />50 <br />4304.6 <br />1436.8 <br />50 <br />5143.9 <br />1970.3 <br />66 <br />3580.3 <br />1026.6 <br />74 <br />4317.6 <br />1444.6 <br />86 <br />5159.0 <br />1980.4 <br />1() - <br />3591.9 <br />1032.8 <br />10 <br />4330.7 <br />1452.5 <br />10 <br />5174.1 <br />1990.5 <br />20 <br />3603.5 <br />1039.0 <br />20 <br />4343.8 <br />1460.4 <br />20 <br />5189.3 <br />2000.6 <br />30 <br />3615.1 <br />1045.2 <br />30 <br />4356•.9 <br />1468.4 <br />30 <br />5204.4 <br />2010.8 <br />40 <br />3626.8 <br />1051.4 <br />40 <br />4370.1 <br />1476.4 <br />40 <br />5219.7 <br />2021.1 <br />50 <br />3838.5 <br />1057.7 <br />50 <br />4383.3 <br />1484.4 <br />50 <br />5234.9 <br />2031.4 <br />69 <br />3650.2 <br />1063.9 <br />75 <br />4396.5 <br />1492.4 <br />66 <br />5250.3 <br />2041.7• <br />LO` <br />3661.9 <br />1070.2 <br />10 <br />4409.8 <br />1500.5 <br />10 <br />5265.6 <br />2052.1 <br />20 <br />3673.7 <br />1076.6 <br />20, <br />4423.1 <br />1508.6 <br />20 <br />5281.0 <br />2062.5 <br />30 <br />3685.4 <br />1082.9 <br />30 <br />4436.4 <br />1516.7 <br />30 <br />5296.4 <br />2073.0 <br />40 <br />3697.2 <br />1089.3 <br />40 <br />4449.7 <br />1524.9 <br />40 <br />5311.9 <br />2083.5 <br />SO <br />3709.0- <br />1095.7 <br />50 <br />4463.1 <br />1533.1 <br />50 <br />5327.4 <br />2094.1- <br />094.13720.9 <br />96 <br />3720.9 <br />1102.2 <br />76 <br />4476.5 <br />1541.4 <br />86 <br />5343.0 <br />2104.7 <br />10 <br />3732.7 <br />1108.6 <br />10 <br />4489.9 <br />1549.7 <br />10 <br />5358.6 <br />2115.3 <br />20 <br />3744.6 <br />1115.1 <br />20 <br />4503.4 <br />1558.0 <br />20 <br />5374.2 <br />_ <br />2126.0 <br />30 <br />3756.5 <br />1121.7 <br />30 <br />4516.9 <br />1566.3 <br />30 <br />5389.9 <br />2136.7 <br />40 <br />3768.5 <br />1128.2 <br />40 <br />4530.4 <br />1574.7 <br />40 <br />5405.6 <br />2147.5 <br />50 <br />3780.4 <br />1134.8 <br />50. <br />4544.0 <br />1583.1 <br />50 <br />5421.4 <br />2158.4 <br />67 <br />37.92:4 <br />1141.4 <br />77 <br />4557.6 <br />1591.6 <br />87 <br />5437.2 <br />2169.2 <br />10 <br />3804.4 <br />1148.0 <br />10 <br />4571.2 <br />1600.1 <br />10 <br />6453.1 <br />2180.2 <br />20 <br />3816.4 <br />1154.7 <br />20 <br />4584.8 <br />1608.6 <br />20 <br />,5469.0 <br />2191.1 <br />30 <br />3828.4 <br />1161.3 <br />30 <br />4598.5 <br />1617.1 <br />30 <br />5484.9 <br />2202.2 <br />40 <br />3840.5 <br />1168.1 <br />40 <br />.4612.2 <br />1625.7 <br />40 <br />5500.9 <br />2213.2 <br />50 <br />3852.6 <br />1174.8 <br />50 <br />4626.0 <br />1634.4 <br />50 <br />5517.0 <br />2224.3 <br />68 <br />3864.7 <br />1181.6 <br />78 <br />4639.8 <br />1643.0 <br />68 <br />5533.1 <br />2235.5 <br />10 <br />3876.8 <br />1188.4 <br />10 <br />4653.6 <br />1651.7 <br />10 <br />6549.2 <br />2246.7 <br />20 <br />3889.0 <br />1195.2 <br />20 <br />4667.4 <br />1660.5 <br />20 <br />5565.4 <br />2258.0 <br />30 <br />3901.2 <br />1202.0 <br />30 <br />4681.3 <br />1669.2 <br />30 <br />5581.6 <br />2269.3 <br />40 <br />3913.4 <br />1208.9 <br />40 <br />4695.2 <br />1678.1 <br />40 <br />5597.8. <br />2280.6 <br />50 <br />3925.6 <br />1215.8 <br />50 <br />4709.2 <br />1686.9 <br />50 <br />5614.2 <br />2292.0 <br />69 <br />3937.9 <br />1222.7 <br />79 <br />4723.2 <br />1695.8 <br />89 <br />5630.5 <br />2303.5 <br />10 <br />3950.2 <br />1229.7 <br />10 <br />4737.2 <br />1704.7 <br />10 <br />5646.9 <br />2315.0 <br />20. <br />3962.5 <br />1236.7 <br />20 <br />4751.2 <br />1713.7 <br />20 <br />5663.4 <br />2326.6 <br />30 <br />3974.8 <br />1243.7 <br />30 <br />4765.3 <br />1722.7 <br />30 <br />5679.9 <br />2338.2 <br />40 <br />3987.2 <br />1250.8 <br />40 <br />4779.4 <br />L731.7 <br />40 <br />5696.4 <br />2349.8 <br />50 <br />3999.5 <br />1257.9 <br />50 <br />4793.6. <br />1740.8 <br />50 <br />5713.0 <br />2361.5 <br />TO <br />4011.9 <br />1265.0 <br />110 <br />4807.7 <br />1749.9 <br />90 <br />5729.7 <br />2373.3 <br />10 <br />4024.4 <br />1272.1 <br />10 <br />4822.0 <br />1759.0 <br />10 <br />5746.3 <br />2385.1 <br />20 <br />4036.8 <br />1279.3 <br />20 <br />4836.2 <br />1769.2 <br />20 <br />5763.1 <br />2397.0 <br />30 <br />4049.3 <br />1296.5 <br />30 <br />4850.5 <br />`1777.4 <br />30 <br />5779.9 <br />2408.9 <br />40 <br />4061.8 <br />1293.6 <br />40 <br />4864.8 <br />1786.7 <br />40 <br />5796.7 <br />2420.9 <br />50 <br />4074.4 <br />1300.9 <br />50 <br />4879.2 <br />1798.0 <br />50 <br />5813.6 <br />2432.9 <br />TABLE VI. -TANGENTS AND EXTERNALS TO A 1° CURVE <br />Central <br />Angle <br />Tangent <br />External <br />Central <br />Angle <br />Tangent <br />External <br />Central <br />Angle <br />Tangent <br />External <br />91° <br />5830.A <br />2444.9 <br />301° <br />6950.6 <br />3278.1 <br />311° <br />8336.7 <br />4386.1 <br />10' <br />5847.5 <br />2457.1 <br />10' <br />6971.3 <br />3294.1 <br />10' <br />8302.7 <br />4407.6 <br />20 <br />5864.6 <br />2469.3 <br />20 <br />6992.0 <br />3310.1 <br />20 <br />8388.9 <br />4429.2 <br />30 <br />5881.7 <br />2481.5 <br />30 <br />7012.7 <br />3326.1 <br />30 <br />:8415.1 <br />4450.9 <br />" 40 <br />5898.8 <br />2493.8 <br />40 <br />7033.6 <br />3342.3 <br />40 <br />8441.5 <br />4472.7 <br />50 <br />5916.0 <br />2506.1 <br />50 <br />.7054.5 <br />3358.5 <br />50 <br />8468.0 <br />4494.6 <br />09 <br />5933.2 <br />2518.5 <br />108 <br />7075.5 <br />3374.9 <br />118 <br />8494.6 <br />4516.8 <br />10 <br />5950.5 <br />2531.0 <br />10 <br />7096.6 <br />3391.2 <br />10 <br />8521.3 <br />4538.8 <br />20 <br />5967.9 <br />2543.5 <br />20 <br />7117.8 <br />3407.7 <br />20 <br />8548.1 <br />4561.1 <br />30 <br />5985.3' <br />2556.0 <br />30 <br />7.139.0 <br />3424.3 <br />30 <br />8575.0 <br />4583.4 <br />40 <br />6002.7 <br />2.568.6 <br />40 <br />7160.3 <br />3440.9 <br />40 <br />8602.1 <br />4608.0 <br />50 <br />6020.2 <br />2581.3 <br />50 <br />7181.7 <br />3457.6 <br />50 <br />8629.3 <br />4628.6 <br />08 <br />6037.8 <br />2594.0 <br />101 <br />7203.2 <br />3474.4 <br />118 <br />8656.6 <br />4651.3 <br />10 <br />6055.4 <br />2606.8 <br />10 <br />7224.7 <br />3491.3 <br />10_ <br />8684.0 <br />4674.2 <br />20 <br />6073.1 <br />2619.7 <br />20 <br />7246.3 <br />3508.2 <br />20 <br />8711.5 <br />4697.2 <br />30 <br />6090.8, <br />2032.6 <br />30 <br />7268.0 <br />3525.2 <br />30 <br />8739.2 <br />4720.3 <br />40 <br />6108.6 <br />2645.5 <br />40 <br />7289.8 <br />3542.4 <br />40 <br />8767.0 <br />4743.6 <br />50 <br />.6126.4 <br />2658.5 <br />50 <br />7311.7 <br />3559.6 <br />50 <br />8794.9 <br />4766.9 <br />94 <br />6144.3 <br />2671.6 <br />106 <br />7333.6 <br />3576.8 <br />114 <br />8822.9 <br />4790.4 <br />10 <br />6162.6 <br />2684.7 <br />10 <br />7355.6 <br />3594.2 <br />10 <br />8851.0 <br />4814.1 <br />20 <br />6180.2 <br />2697.9 <br />20 <br />7377.8 <br />3611.7 <br />20 <br />8879.3' <br />4837.8 <br />30 <br />6198.3 <br />2711.2 <br />30 <br />7399.9 <br />3629.2 <br />30 <br />8907.7 <br />4881.7 <br />'40 <br />6216.4 <br />2724.5 <br />40 <br />7422.2 <br />3646.8 <br />40 <br />8936.3 <br />4885.7 <br />50 <br />6234.6 <br />2737.9 <br />50 <br />7444.6 <br />3664.5 <br />50 <br />8965.0 <br />4909.9 <br />95 <br />6252.8 <br />2751.3 <br />108 <br />7467.0 <br />3682.3 <br />116 <br />8993.8 <br />4934.1 <br />10 <br />6271.1 <br />2784:8 <br />10 <br />7489.6 <br />3700.2 <br />10 <br />9022.7 <br />4958.6 <br />20 <br />6289.4 <br />2778.3 <br />20 <br />7512.2 <br />3718.2 <br />20 <br />9051.7 <br />4983.1 <br />30 <br />6307.9 <br />2792.0 <br />30 <br />7534.9 <br />3736.2 <br />30 <br />9080.9 <br />5007.8 <br />40 <br />6326.3 <br />2805.6 <br />40 <br />7557.7 <br />3754.4 <br />40 <br />9110.3 <br />5032.6 <br />60 <br />6344.8 <br />2819.4 <br />50 <br />7580.5 <br />3772.6 <br />50 <br />9139.8 <br />5057.6 <br />96 <br />6363.4 <br />2833.2 <br />106 <br />7603.5 <br />3791.0 <br />116 <br />9169.4 <br />5082.7 <br />10 <br />6382.1 <br />2847.0 <br />10 <br />7626.6 <br />3809.4 <br />10 <br />9199.1 <br />5107.9 <br />20 <br />8400.8 <br />2861.0 <br />20 <br />7649.7 <br />3827.9 <br />20 <br />9229.0 <br />5133.3 <br />30 <br />6419.5 <br />2875.0 <br />30 <br />7672.9 <br />3846.5 <br />30 <br />9259.0 <br />5158.8 <br />40 <br />6438.4 <br />2889.0 <br />40 <br />7696.3 <br />3865.2 <br />40 <br />9289.2 <br />5184.5 <br />50 <br />6457.3 <br />2903.1 <br />50 <br />7719.7 <br />3884.0 <br />50 <br />9319.5 <br />5210.3 <br />97 <br />6476.2 <br />2917.3 <br />10T <br />7743.2 <br />3902.9 <br />11T - <br />9340.9 <br />5236.2 <br />10 <br />6495.2 <br />2931.8 <br />10 <br />7766.8 <br />3921.9 <br />10 <br />9380.5 <br />5292.3 <br />20' <br />6514.3 <br />2945.9 <br />20 <br />7790.5 <br />3940.9 <br />20 <br />9411.3 <br />5288.6 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />.7814.3 <br />3960.1 <br />30 <br />9442.2 <br />5315.0 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7838.1 <br />3979.4 <br />40 <br />9473.2 <br />5341:5 <br />50 <br />6571.9 <br />2989.2 <br />50 <br />7862.1 <br />3998.7 <br />50 <br />9504.4 <br />5368.2 <br />99 <br />6591.2 <br />3003.8 <br />108 <br />7886.2 <br />4018.2 <br />.118 <br />9535.7 <br />5395.1 <br />10 <br />6610.6 <br />3018.4 <br />10 <br />7910.4 <br />4037.8 <br />10 <br />9567.2 <br />5422.1 <br />20 <br />6630.1 <br />3033.1 <br />20 <br />7934.6 <br />4057.4 <br />20 <br />9598.9 <br />5449.2 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7959.0 <br />4077.2 <br />30' <br />'9630.7 <br />5476.5 <br />40 <br />6669.2 <br />3062.8 <br />40 <br />7983.5 <br />4097.1 <br />40 <br />9662.6 <br />5504.0 <br />50 <br />6688.8 <br />3077.7 <br />50 <br />8008.0 <br />4117.0 <br />50 <br />9694.7 <br />5531.7 <br />99 <br />6708.6 <br />3092.7 <br />109 <br />8032.7 <br />4137.1 <br />119 <br />9727.0 <br />5559.4 <br />10 <br />6728.4 <br />3107.7 <br />10 <br />8057.4 <br />4157.3 <br />10 <br />9759.4 <br />5587.4 <br />20 <br />6748.2 <br />3122.9 <br />20 <br />8082.3 <br />4177.5 <br />20 <br />9792.0 <br />5615.5 <br />30 <br />6768.1 <br />3138.1 <br />30 <br />8107.3 <br />4197.9 <br />30 <br />9824.8 <br />5643.8 <br />40 <br />6788.1 <br />3153.3 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />9857.7 <br />.5672.3 <br />50 <br />5808.2 <br />3168.7 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />9890.8 <br />5700.9 <br />100 <br />6828.3 <br />3184.1 <br />110 <br />8182.8 <br />4259.7 <br />180 <br />9924.0 <br />5729.7 <br />10 <br />6848.5 <br />3190.6 <br />10 <br />8208.2 <br />4280.5 <br />10 <br />9957.5 <br />5758.6 <br />20 <br />6868.8 <br />3215.1 <br />20 <br />8233.7 <br />4301.4 <br />20 <br />9991.0 <br />5787.7 <br />30 <br />6889.2 <br />3230.830 <br />8259.3 <br />4322.4 <br />30 <br />10026.0 <br />5817.0 <br />40 <br />6909.6 <br />3246.5 <br />40 <br />8285.0 <br />4343.6 <br />40 <br />10059.0 <br />5846.5 <br />50 <br />6930.1 <br />3262.3 <br />50 <br />8310.8 <br />4364.8 <br />50 <br />10093.0 <br />5876-1 <br />C <br />