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TABLE IX. TANGENTS AND EXTERNALS TO A 1° CURVE <br />I <br />T <br />E <br />1=70° <br />I <br />T <br />E <br />1=80° <br />I <br />I T. <br />E <br />I-90° <br />91° <br />3375.0 <br />920.2 <br />+ <br />71° <br />4086.9 <br />1308.2 <br />+ <br />81° <br />4893.6 <br />1805.3 <br />+ <br />10' <br />3386.3 <br />925.9° <br />5 C. <br />10' <br />4099.5 <br />1315.6 <br />5° Q <br />10' <br />4908.0 <br />1814.7 <br />5847.52457 <br />20' <br />3397.5 <br />931.6 <br />6971.3 <br />20' <br />4112.1 <br />1322.9 <br />8362.7 <br />20' <br />4922.5 <br />1824.1 <br />5' C. <br />30' <br />3408.8 <br />937.3 <br />T <br />MY <br />4124.8 <br />1330.3 <br />T <br />30' <br />4937.0 <br />1833.6 <br />T <br />40' <br />3420.1 <br />943.1 <br />25 <br />40' <br />4137.4 <br />1337.730 <br />8415.1 <br />40' <br />4951.5 <br />1843.1 <br />338 <br />50' <br />3431.4 <br />948.9 <br />7033.6 <br />50' <br />4150.1 <br />1345.1 <br />8441.5 <br />50' <br />4966.1 <br />1852.6 <br />5916.0 <br />2506.1 <br />MY <br />E <br />3358.5 <br />-50' <br />E <br />4494.6 <br />32° <br />3442.7 <br />954.8 <br />.080 <br />72° <br />4162.8 <br />1352.6 <br />.110 <br />82° <br />4980.7 <br />1862.2 <br />.149 <br />]0' <br />3454.1 <br />960.6 <br />7075.5 <br />10' <br />4175.6 <br />1360.1 <br />8494.6 <br />10' <br />4995.4 <br />1871.8 <br />5950.5 <br />20' <br />3465.4 <br />966.5 <br />7096.6 <br />20' <br />4188.5 <br />1367.6 <br />8521.3 <br />20' <br />5010.0 <br />1881.5 <br />5967.9 <br />30' <br />3476.8 <br />972.4 <br />7117.8 <br />30' <br />4201.2 <br />1375.2 <br />8548.1 <br />30' <br />5024.8 <br />1891.2 <br />5985.3 <br />40' <br />3488.3 <br />978.3-140' <br />7139.0 <br />3424.3 <br />4214.0 <br />1382.8 <br />8575.0 <br />40' <br />5039.5 <br />1900.9 <br />6002.7 <br />50' <br />3499.7 <br />984.3 <br />3440.9 <br />50' <br />4226.8 <br />1390.4 <br />4606.0 <br />50' <br />5054.3 <br />1910.7 <br />6020.2 <br />Mo <br />3511.1 <br />990.2 <br />10' C. <br />78• <br />4239.7 <br />1398.0 <br />10° C. <br />83° <br />5069.2 <br />1920.5 <br />10° C. <br />10' <br />3522.6 <br />996.2 <br />T <br />10' <br />4252.6 <br />1405.7 <br />T• <br />10' <br />5084.0 <br />1930.4 <br />T <br />20' <br />3534.1 <br />1002.3 <br />7224.7 <br />20' <br />4265.6 <br />1413.5 <br />8684.0 <br />20' <br />5099.0 <br />1940.3 <br />6073.1 <br />30' <br />3545.6 <br />1008.3 <br />•b1 <br />30' <br />4278.5 <br />1421.2 <br />•81 <br />30' <br />5113.9 <br />1950.3 <br />6090.8 <br />40' <br />3557.2 <br />1014.4 <br />E <br />40' <br />4291.5 <br />1429.0 <br />E <br />40' <br />5128.9 <br />1960.2 <br />E <br />50' <br />3568.7 <br />1020.5 <br />•159 <br />50' <br />4304.6 <br />1438.8 <br />•220 <br />50' <br />5143.9 <br />1970.3 <br />•299 <br />140 <br />3580.3 <br />1026.6 <br />7311.7 <br />74° <br />4317.6 <br />1444.6 <br />8794.9 <br />84° <br />5159.0 <br />1980.4 <br />6144.3 <br />10' <br />3591.9 <br />1032.8 <br />7333.6 <br />10' <br />4330.7 <br />1452.5 <br />8822.9 <br />10' <br />5174.1 <br />1990.5 <br />6162.2 <br />20' <br />3603.5 <br />1039.0 <br />--- <br />20' <br />4343.8 <br />1460.4 <br />8851.0 <br />20' <br />5189.3 <br />2000.6 <br />6180.2 <br />30' <br />3615.1 <br />1045.2 <br />3611.7 <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 />7399.9 <br />40' <br />4370.1 <br />1476.4 <br />4881.7 <br />40' <br />5219.7 <br />2021.1 <br />50' <br />3638.5 <br />1057.7 <br />15° C <br />50' <br />4383.3 <br />1484.4 <br />15° C. <br />50' <br />5234.9 <br />2031.4 <br />15° C. <br />15• <br />3650.2 <br />1063.9 <br />T <br />75• <br />4396.5 <br />1492.4 <br />T <br />85• <br />5250.3 <br />2041.7 <br />T <br />10' <br />8661.9 <br />1070.2 <br />.76 <br />10' <br />4409.8 <br />1500.5 <br />.91 <br />10' <br />5265.6 <br />2052.1 <br />1.09 <br />20' <br />3673.7 <br />1076.6 <br />E <br />20' <br />4423.1 <br />1508.6 <br />E <br />20' <br />5281.0 <br />2062.5 <br />E <br />30' <br />3685.4 <br />1082.9 <br />E <br />30' <br />4436.4 <br />1516.7 <br />E <br />30' <br />5296.4 <br />2073.0 <br />40' <br />3697.2 <br />1089.3 <br />•� <br />40' <br />4449.7 <br />1524.9 <br />•332 <br />40' <br />5311.9 <br />2083.5 <br />.450 <br />50' <br />3709.0 <br />1095.7 <br />" <br />50' <br />4463.1 <br />1533.1 <br />1.09 <br />50' <br />5327.4 <br />2094.1 <br />8• <br />3720.9 <br />1102.2 <br />760 <br />4476.5 <br />1541.4 <br />861 <br />5343.0 <br />2104.7 <br />106• <br />7603.5 <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 />10' <br />20' <br />3744.6 <br />1115.1 <br />7626.6 <br />20' <br />4503.4 <br />1558.0 <br />5107.9 <br />20' <br />5374.2 <br />2126.0 <br />30' <br />40' <br />3756.5 <br />3788.5 <br />1121.7 <br />1128.2 <br />� ° <br />30' <br />40' <br />4516.9 <br />4530.4 <br />1566.3 <br />1574.7 <br />20*° C• <br />30' <br />40' <br />5389.9 <br />5405.6 <br />2136.7 <br />2147.5 <br />200 C. <br />50' <br />3780.4 <br />1134.8 <br />T <br />50' <br />4544.0 <br />1583.1 <br />T <br />50' <br />5421.4 <br />2158.4 <br />T <br />70 <br />3792.4 <br />1141.4 <br />1.02 <br />E <br />770 <br />4557.6 <br />1591.6 <br />1,22 <br />870 <br />5437.2 <br />2169:2 <br />1.45 <br />E <br />HY <br />3804.4 <br />1148.0 <br />2. 08 <br />E <br />10' <br />4571.2 <br />1600.1 <br />E <br />10' <br />5453.1 <br />2180.2 <br />20' <br />3816.4 <br />1154.7 <br />.321 <br />20' <br />4584.8 <br />1608.6 <br />.445 <br />20' <br />5469.0 <br />2191.1 <br />•603 <br />30' <br />3828.4 <br />1161.3 <br />1.08 <br />30' <br />4598.5 <br />1617.1 <br />1.46 <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 />- <br />50' <br />7862.1 <br />8° <br />3864.7 <br />1181.6 <br />78° <br />4639.8 <br />1643.0 <br />98° <br />5533.1 <br />2235.5 <br />6591.2 <br />10' <br />3876.8 <br />1188.4 <br />25° C. <br />10' <br />4653.6 <br />1G51.7 <br />25° C. <br />]0' <br />5549.2 <br />2246.7 <br />25° C. <br />20' <br />3889.0 <br />1195.2 <br />250 C. <br />20' <br />4667.4 <br />1660.5 <br />25• C. <br />20' <br />5565.4 <br />2258.0 <br />T <br />30' <br />3001.2 <br />1202.0 <br />T <br />30' <br />4681.3 <br />1669.2 <br />T <br />30' <br />5581.6 <br />2269.3 <br />r <br />40' <br />3913.4 <br />1203.9 <br />1,28 <br />40' <br />4695.2 <br />1078.1 <br />1.53 <br />40' <br />5597.8 <br />2280.6 <br />1.83 <br />50' <br />3925.6 <br />1215.8 <br />E <br />50' <br />4709.2 <br />1686.9 <br />E <br />50' <br />5614.2 <br />2292.0 <br />E <br />9' <br />3937.9 <br />1222.7 <br />.403 <br />79• <br />4723.2 <br />1695.8 <br />.558 <br />890 <br />5630.5 <br />2303.5 <br />,756 <br />10' <br />3950.2 <br />1229.7 <br />10' <br />1737.2 <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 />30' <br />3974.8 <br />1243.7 <br />30' <br />4765.3 <br />1722.7 <br />30' <br />5679.9 <br />2338.2 <br />8788.1 <br />3153.3 <br />40' <br />40' <br />3997.2 <br />1250.8 <br />40' <br />4779.4 <br />1731.7 <br />40' <br />5696.4 <br />2349.8 <br />50' <br />50' <br />3999.5 <br />1257.9 <br />50' <br />50' <br />4793.6 <br />1740.8 <br />100° <br />50' <br />5713.0 <br />2361.5 <br />110• <br />0" <br />4011.9 <br />1265.0 <br />30° C. <br />80° <br />4807.7 <br />1749.9 <br />30° C. <br />900 <br />5729.7 <br />2373.3 <br />30• C' <br />10' <br />4024.4 <br />1272.1 <br />T <br />10' <br />4822.0 <br />1759.0 <br />T <br />10' <br />5746.3 <br />2385.1 <br />T <br />2(Y ' <br />4036.8 <br />1279.3 <br />1.54 <br />20' <br />4836.2 <br />1768.2 <br />1.84 <br />20' <br />5763.1 <br />2397.0 <br />2.20 <br />30' <br />4049.3 <br />1286.5 <br />E <br />MY <br />4850.5 <br />1777.4 <br />E <br />30' <br />5779.92408 <br />.9 <br />E <br />4M <br />1061.8 <br />1293.6 <br />40' <br />40' <br />4864.8 <br />1786.7 <br />5(Y <br />40' <br />5796.7 <br />2420.9 <br />50' <br />50' <br />4074.4 <br />1300.9 <br />.485 <br />50' <br />4879.2 <br />1796.0 <br />•671 <br />50' <br />5813.6 <br />2432.9 <br />.910 <br />T= R tan 54 1 L= R essec 'moi I <br />TABLE IX. TANGENTS -AND EXTERNALS TO A P CURVE <br />T= R tan 1,5 I E= R exsec �j I <br />I <br />T <br />E <br />I=100° <br />I <br />T <br />E <br />I=110°1 I <br />T <br />E <br />I=120° <br />91° <br />5830.5 <br />2444.9 <br />+ <br />101° <br />6950,.6 <br />3278.1 <br />+ <br />111° <br />8336.7 <br />4388.1 <br />10' <br />5847.52457 <br />. <br />'° <br />10' <br />6971.3 <br />3294.1 <br />° <br />10' <br />8362.7 <br />4407.6 <br />+ <br />20' <br />5864.6 <br />2469.3 <br />51 C. <br />20' <br />6992.0 <br />3310.1 <br />5 C. <br />20' <br />8388.9 <br />4429.2 <br />50 C- <br />30' <br />5881.7 <br />2481.5 <br />T <br />30' <br />7012.7 <br />3326.1 <br />T <br />30' <br />8415.1 <br />4450.9 <br />T <br />40' <br />5898.8 <br />2493.8 <br />43 <br />40' <br />7033.6 <br />3342.3 <br />51 <br />40' <br />8441.5 <br />4472.7 <br />82 <br />50' <br />5916.0 <br />2506.1 <br />MY <br />7054.5 <br />3358.5 <br />-50' <br />8468.0 <br />4494.6 <br />E <br />E <br />11 <br />92° <br />5933.2 <br />2518.5 <br />.200 <br />102° <br />7075.5 <br />3374.9 <br />.268 <br />112° <br />8494.6 <br />4516.6 <br />•360 <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 />7139.0 <br />3424.3 <br />30' <br />8575.0 <br />4583.4 <br />40' <br />6002.7 <br />2568.8 <br />40' <br />7160.3 <br />3440.9 <br />- <br />40' <br />8602.1 <br />4606.0 <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 />990 <br />6037.8 <br />2594.0 <br />10° C. <br />1036 <br />7203.2 <br />3474.4 <br />X10° C. <br />113° <br />8656.6 <br />4651.3 <br />10• C. <br />10' <br />6055.4 <br />2606.8 <br />T <br />10' <br />7224.7 <br />3491.3T <br />10' <br />8684.0 <br />4674.2 <br />T <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 />2632.6 <br />•88 <br />30' <br />7268.0 <br />3525.2 <br />•103 <br />30' <br />8739.2 <br />4720.3 <br />1.25 <br />40' <br />6108.6 <br />2645.5 <br />E <br />MY <br />7289.8 <br />3542.4 <br />E <br />40' <br />8767.0 <br />4743.8 <br />E <br />50' <br />6126.4 <br />2658.5 <br />,401 <br />50' <br />7311.7 <br />3559.6 <br />W <br />50' <br />8794.9 <br />4766.9 <br />•721 <br />94° <br />6144.3 <br />2671.6 <br />104° <br />7333.6 <br />3576.8 <br />114° <br />8822.9 <br />4790.4 <br />10' <br />6162.2 <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 />15° C. <br />50' <br />7444.6 <br />3664.5 <br />15o a <br />50' <br />8965.0 <br />4909.9 <br />15• C. <br />950 <br />6252.8 <br />2751.3 <br />T <br />105• <br />7467.0 <br />3682.3 <br />T <br />115° <br />8993.8 <br />4934.1 <br />T <br />10' <br />6271.1 <br />2764.8 <br />1.30 <br />10'7489.6 <br />3700.2 <br />1.56 <br />10' <br />9022.7 <br />4958.6 <br />1.93 <br />20' <br />6289.4 <br />2778.3 <br />E <br />20' <br />7512.2 <br />3718.2 <br />E <br />20' <br />9051.7 <br />4983.1 <br />E <br />80' <br />6307.9 <br />2792.030' <br />7534.9 <br />37362 <br />30' <br />9080.9 <br />5007.8 <br />40' <br />6326.3 <br />2805.6 <br />.604 <br />40' <br />7557.7 <br />3754..4 <br />" <br />40' <br />9110.3 <br />5032.6 <br />1.09 <br />50' <br />8344.8 <br />2819.4 <br />MY <br />7680.5 <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 />316° <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 />6400.8 <br />2881.0 <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 />20* C. <br />C• <br />7672.9 <br />3846.5 <br />2()* r- <br />30' <br />9259.0 <br />5158.8 <br />• <br />20 C- <br />40' <br />50' <br />6438.4 <br />6457.3 <br />2889.0 <br />2903.1 <br />T <br />40' <br />50' <br />7696.3 <br />7719.7 <br />3865.2 <br />3884.0 <br />T <br />40' <br />50' <br />9289.2 <br />9319.5 <br />5184.5 <br />5210.3 <br />T <br />97° <br />6478.2 <br />2977.3 <br />1.74 <br />E <br />107° <br />7743.2 <br />3902.9 <br />2. 08 <br />E <br />1170 <br />9349.9 <br />5238.2 <br />2.52 <br />10' <br />6495.2 <br />2931.6 <br />10' <br />7766.8 <br />3921.9 <br />10' <br />9380.5 <br />5262.3 <br />F- <br />20' <br />20' <br />6514.3 <br />2945.9 <br />.809 <br />20' <br />7790.5 <br />3940.9 <br />1.08 <br />20' <br />9411.3 <br />5288.6 <br />1.46 <br />MY <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 />98• • <br />6591.2 <br />3003.8 <br />108• <br />7888.2 <br />4018.2 <br />118• <br />9535.7 <br />5395.1 <br />10' <br />6610.6 <br />3018.4 <br />25• C <br />10' <br />7910.4 <br />4037.8 <br />250 C. <br />10' <br />9567.2 <br />5422.1 <br />25• C. <br />20' <br />WY <br />6630.1 <br />6849.6 <br />3033.1 <br />3047.9 <br />T <br />20' <br />30' <br />7934.6 <br />7959.0 <br />4057.4 <br />4077.2 <br />T <br />20' <br />MY <br />9598.9 <br />9630.7 <br />5449.2 <br />5476.5 <br />T <br />40' <br />6669.2 <br />3062.8 <br />2.18 <br />40' <br />7983.5 <br />4097.1 <br />2.61 <br />40' <br />9662.6 <br />5504.0 <br />3.16 <br />W <br />6688.8 <br />3077.7 <br />E <br />50' <br />8008.0 <br />4117.0 <br />E <br />50' <br />9694.7 <br />5531.7 <br />E <br />99• <br />6708.6 <br />3092.7 <br />1.02 <br />1090 <br />8032.7 <br />4137.1 <br />1.36 <br />1190 <br />9727.0 <br />5559.4 <br />1.83 <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 />6758.1 <br />3138.1 <br />30' <br />8107.3 <br />4197.9 <br />30' <br />9824.8 <br />5643.8 <br />40' <br />8788.1 <br />3153.3 <br />40' <br />8132.3 <br />4218.4 <br />40' <br />9857.7 <br />5672.3 <br />50' <br />6808.2 <br />3168.7 <br />50' <br />8157.5 <br />4239.0 <br />50' <br />9890.8 <br />5700.9 <br />100° <br />8828.3 <br />3184.1 <br />30° C' <br />110• <br />8182.8 <br />4259.71 <br />30° C. <br />120• <br />9924.0 <br />5729.7 <br />30° C. <br />10 <br />6848.5 <br />3199.8 <br />T <br />10' <br />8208.2 <br />4280.5 <br />T <br />10' <br />9957.5 <br />b758.6 <br />T <br />20' <br />6868.8 <br />3215.1 <br />2.62 <br />20' <br />6233.7 <br />4301.4 <br />3.14 <br />20' <br />9991.0 <br />5787.7 <br />3.81 <br />30' <br />6889.2 <br />3230.8 <br />E <br />30' <br />5259.3 <br />4322.4 <br />E <br />30' <br />10025.0 <br />b817.0 <br />E <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 />5(Y <br />6930.1 <br />3262.3 <br />1.22 <br />50' <br />8310.8 <br />4364.8 <br />1.63 <br />50' <br />10093.0 <br />5876.1 <br />2.20 <br />T= R tan 1,5 I E= R exsec �j I <br />