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TABLE M TANGENTS AND EXTERNATA TO A 10 (`.TTRVI+. <br />I <br />T <br />E <br />1=70° <br />1 <br />T <br />E <br />I=80° <br />I!• <br />T <br />(4893.6 <br />E <br />I=90° <br />61° <br />3375.0 <br />1." <br />920.2 <br />4• <br />71° <br />4080.0 <br />1308,2 <br />.l, <br />81° <br />I=120° <br />1805.3 <br />5830.5 <br />10' <br />3386,3 <br />025.9 <br />5° C. <br />Ld <br />4093.5 <br />1310.6 <br />8336.7 <br />ld <br />4908.0 <br />1814.7 <br />4. <br />20' <br />3397,5 <br />'3408.8 <br />931.6 <br />6971.3 <br />2d <br />411 .1 <br />1322.9 <br />5' C. <br />20' <br />4922.5 <br />1824,1 <br />5° C- <br />30' <br />'3420.1 <br />937.3 <br />T <br />3d <br />4124.8 <br />1330.3 <br />T <br />30' <br />4937.0 <br />1833.6 <br />T <br />4d <br />bd <br />431.4 <br />943.1 <br />948.9 <br />25 <br />40' <br />5d <br />4137.4 <br />4150.1 <br />1337,7 <br />1345.1 <br />.30 <br />40' <br />4951.5 <br />1843.1 <br />55898.8 <br />2493.8 <br />40' <br />E <br />334`2.3 <br />51 <br />40' <br />E <br />50' <br />4966.1 <br />1852.6 <br />E <br />10' <br />3442.7 <br />954.8 <br />.080 <br />72° <br />4162.8 <br />1352.6 <br />.110 <br />62° <br />4980.7 <br />1802.2 <br />.149 <br />3454.1 <br />960.6 <br />10 <br />4175,6 <br />1360.1 <br />10' <br />4995.4 <br />1871.8 <br />5933.2 <br />20' <br />3465.4 <br />966.5 <br />7075.5 <br />20' <br />4188,5 <br />1367.6 <br />8494.6 <br />20' <br />5010.0 <br />1881.5 <br />5950.5 <br />30' <br />3476.8 <br />972.4 <br />7096.6 <br />3d <br />4201.2 <br />1375.2 <br />8521.3 <br />30' <br />5024.8 <br />1891.2 <br />6967.0 <br />40' <br />50" <br />3488,3 <br />978.3 <br />7117.8 <br />40' <br />4214,0 <br />1382,8 <br />8548.1 <br />40' <br />5039.5 <br />1900.9 <br />5985.3 <br />2556.0 <br />3499.7 <br />984,3 <br />7139.03424 <br />50' <br />4226.8 <br />1390.4 <br />8575.0 <br />5d <br />5054.3 <br />1910.7 <br />6002.7 <br />13° <br />3511.1 <br />990.2 <br />10° C. <br />73• <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 />1d <br />5084.0 <br />1930.4 <br />T <br />20' <br />3534.1 <br />'3545.6 <br />1002.32d <br />51 <br />3474.4 <br />4265.6 <br />1413.5 <br />8656.6 <br />2d <br />5099:0 <br />1940.3 <br />6055.4 <br />3d <br />T <br />1008.3 <br />7224.7 <br />3d <br />4278.5 <br />1421.2 <br />•61 <br />30' <br />5113,9 <br />1950.3 <br />. 72 <br />41Y <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 />W <br />3568.7 <br />102D.5 <br />.159 <br />50' <br />4304.8 <br />1436.8 <br />•220 <br />50' <br />5143.9 <br />1970.3 <br />•299 <br />40 <br />3580.3 <br />1026.6 <br />7289.8 <br />74° <br />4317.8 <br />1444.6 <br />8767.0 <br />84° <br />5159.0 <br />1980.4 <br />6126.4 <br />10' <br />3591.9 <br />1032.8 <br />7311.7 <br />10' <br />4330.7 <br />1452.5 <br />8794.9 <br />ld <br />5174.1 <br />1990.5 <br />6144.3 <br />20" <br />3603.5 <br />1039.0 <br />--- <br />20' <br />4343.8 <br />1460.4 <br />8822.9 <br />20" <br />5189.3 <br />2000.6 <br />6162.2 <br />30" <br />3615.1 <br />1045.2 <br />7355.6 <br />30' <br />4356.0 <br />1468.4 <br />8851.0 <br />3d <br />5204.4 <br />2010.8 <br />40" <br />3628.8 <br />1051.4 <br />7377.8 <br />40' <br />4370.1 <br />1476.4 <br />4837.6 <br />40' <br />5219.7 <br />2021.1 <br />30' <br />W <br />3638.5 <br />1057.7 <br />15° C. <br />50' <br />4383,3 <br />1484.4 <br />15° C <br />51Y <br />5234.9 <br />2031.4 <br />I5° C. <br />5' <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 />1d <br />3681.9 <br />1070.2 <br />.76 <br />1d <br />4409.8 <br />1500.5 <br />.91 <br />10' <br />5265.6 <br />2052.1 <br />1.09 <br />2d <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 />4d <br />3685.4 <br />3697.2 <br />1082.9 <br />1089, 3 <br />' •240 <br />3d 4d <br />4438.4 <br />4449.7 <br />1516;7 <br />1524.9 <br />•332 <br />30' <br />40' <br />5296.4 <br />2073.0 <br />•450 <br />50' <br />3709.0 <br />1095.7 <br />2d <br />5d <br />4463.1 <br />1533.1 <br />•20' <br />50' <br />5311.9 <br />5327.4 <br />2083,.5 <br />2094.1 <br />3d <br />6° <br />3720.9 <br />1102.2 <br />3d <br />76' <br />4476.5 <br />1541,4 <br />30' <br />86° <br />5343.0 <br />2104.7 <br />4d <br />6326.3 <br />2805.6 <br />•604 <br />Id <br />3732.7 <br />1108.6 <br />10"4489.9 <br />40' <br />1549.7 <br />10' <br />5358.6 <br />2115.3 <br />20' <br />3744.6 <br />1115.1 <br />60' <br />20' <br />4503.4 <br />1558.0 <br />51Y <br />20' <br />5374.2 <br />2126.0 <br />96° .6363.4 <br />30' <br />3756.5 <br />1121.7 <br />20, C <br />3d <br />4516.9 <br />1566.3 <br />20° C. <br />30' <br />5389.9 <br />2136.7 <br />4d <br />3768.5 <br />1128.2 <br />2847,0 <br />40' <br />45,30.4 <br />1574.7 <br />40' <br />5405.6 <br />2147, 5 <br />20° C- <br />W <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 />7° <br />3792.41141.4 <br />C. <br />1.02 <br />E <br />77° <br />4557.6 <br />1591.6 <br />1,22 <br />87° <br />5437.2 <br />2169.2 <br />1.45 <br />Id <br />3804.4 <br />1148.0 <br />40' <br />10" <br />4571.2 <br />1600.] <br />E <br />ld <br />5453.1 <br />2180,2 <br />E <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 />3d <br />40' <br />3828.4 <br />3840.5 <br />1161.3 <br />11G8.1 <br />30' <br />4598.5 <br />1617.1 <br />30' <br />5484.9 <br />2202,2 <br />.603 <br />50' <br />3852.6 <br />1174 8 <br />107° <br />40" <br />50' <br />4612.2 <br />4626.0 <br />1625.7 <br />1634.9 <br />1176 <br />40' <br />bd <br />5500.9 <br />5517.0 <br />2213.2 <br />2224,3 <br />10' <br />20' <br />6405.2 <br />6514.3 <br />2931,6 <br />2945.9 <br />•809 <br />P <br />Id <br />3864.7 <br />3876.8 <br />1181.6 <br />1188.4 <br />1.08 <br />TS' <br />10' <br />4639,8 <br />4653.6 <br />1643.0 <br />1G51.7 <br />1.46 <br />88° <br />5533.1 <br />2235.5 <br />2d <br />3889.0 <br />1195.2 <br />25, C <br />`20' <br />4667.4 <br />1660.5 <br />25° C. <br />1d <br />21Y <br />5549.2 <br />5566.4 <br />2246.7 <br />2258.0 <br />25° C. <br />3d <br />3901.2 <br />1202.0 <br />T <br />30' <br />4681,3 <br />1669.2 <br />T <br />30' <br />558 t. 6 <br />2269.3 <br />T <br />4d <br />50' <br />391:3.4 <br />3925.6 <br />1208.9 <br />1215.8 <br />1,28 <br />40" <br />50' <br />4595.2 <br />4709.2 <br />1678.1 <br />1686.9 <br />1.53 <br />40' <br />5d <br />5597.8 <br />5614.2 <br />2280.6 <br />Isa <br />3003.8 <br />108° <br />E <br />4018.2 <br />118° <br />E. <br />5395.1 <br />2292.0 <br />E <br />I' <br />3937.9 <br />1222.7 <br />.403 <br />79' <br />4723.2 <br />1695.8 <br />.558 <br />89° <br />5630.5 <br />2303.5 <br />6630.1 <br />ad <br />3950.2 <br />1229.7 <br />7934.6 <br />ld <br />1737.2 <br />1704.7 <br />9598.9 <br />10' <br />5646.9 <br />2315,0 <br />.758 <br />2d <br />3962.5 <br />1236.7 <br />7959.0 <br />201 <br />4751.2 <br />1713.7 <br />9630.7 <br />20' <br />5663.4 <br />2326.6 <br />6669.2 <br />3d <br />3974.8 <br />1243.7 <br />30' <br />4765.3 <br />1722.7 <br />'30' <br />5679.9 <br />2338.2 <br />3.16 <br />50'' <br />6688.8 <br />40' <br />3937.2 <br />1250.8 <br />40' <br />4779.4 <br />1731.7 <br />40' <br />5696.4 <br />2349.8 <br />W <br />3999.5 <br />1257,9 <br />3092.7 <br />50' <br />4703.6 <br />1740.8 <br />4137.1 <br />50' <br />5713.0 <br />2361.5 <br />6559.4 <br />1° <br />4011.9 <br />1265.0 <br />° <br />30 C, <br />SDI <br />4807.7 <br />1740.9 <br />30° C. <br />90° <br />5729.7 <br />2373.3 <br />30' G <br />ld <br />4024,4 <br />1272,] <br />T <br />10' <br />4822.0 <br />1759.0 <br />T <br />ld <br />5746.3 <br />2385.1 <br />T <br />2d <br />3d <br />4(M.8 <br />4049.3 <br />1279.3 <br />1286.5 <br />1.54 <br />2d <br />4836.21768.2 <br />8107.3 <br />1.84 <br />2d <br />5763.12397.0 <br />5643.8 <br />2,20 <br />4d <br />4061.8 <br />1293.6 <br />F <br />3d <br />4d <br />4850.5 <br />4864.8 <br />1777,4 <br />1786,7 <br />F' <br />3d <br />4(Y <br />5779.9 <br />57967 <br />2408.9 <br />24209 <br />E , <br />50' <br />4074.4 <br />1300.9 <br />.455 <br />50' <br />4879.2 <br />1796.0 <br />.671 <br />5d • <br />5813:61H32:91 <br />5700.9 <br />•910 <br />T-11, tan M I E= R exsec % I <br />t <br />TABLE IX. TANGENTS AND EXTERNALS TO A 1° CURVE <br />T- R tan. X I E- R exseo Y2 I <br />I <br />T <br />E <br />I=100° <br />I <br />T <br />E <br />I=I1011 I <br />T <br />E <br />I=120° <br />91° <br />5830.5 <br />2444.9 <br />1, <br />101° <br />6950.6 <br />3278,1 <br />,f• <br />111° <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 />8362.7 <br />4407,6 <br />4 <br />20' <br />5864,6 <br />2469.3 <br />5, C• <br />20' <br />6992.0 <br />3310.1 <br />5° C- <br />20' <br />8388.9. <br />4429.2 <br />5° 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 />55898.8 <br />2493.8 <br />40' <br />7033.6 <br />334`2.3 <br />51 <br />40' <br />8441.5 <br />4472.7 <br />62 <br />50' <br />5916.0 <br />2506.1 <br />.43 <br />5d <br />7054.5 <br />3358,5 <br />5d <br />.8468.0 <br />4494.6 <br />E <br />E <br />E <br />920 <br />5933.2 <br />2518.5 <br />.200 <br />1020 <br />7075.5 <br />3374.9 <br />.268 <br />1130 <br />8494.6 <br />4516.6 <br />•360 <br />ld <br />5950.5 <br />2531.0 <br />10' <br />7096.6 <br />3391.2 <br />ld <br />8521.3 <br />4538.8 <br />20" <br />6967.0 <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 />7139.03424 <br />3 <br />30' <br />8575.0 <br />4583.4 <br />4d <br />6002.7 <br />2568.6 <br />4d <br />7160.33440 <br />9 <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 />93° <br />8037.8 <br />2594.0 <br />10° C. <br />103° <br />7203.2 <br />3474.4 <br />X10° C. <br />113° <br />8656.6 <br />4651.3 <br />10° C. <br />Id <br />6055.4 <br />2606.8 <br />T <br />1d <br />7224.7 <br />3491.3 <br />T <br />10' <br />8884.0 <br />4674.2 <br />T <br />20' <br />6073.1 <br />2619,7 <br />20' <br />7246.3 <br />3508.2 <br />2d <br />8711.5 <br />4697.2 <br />3d <br />6090.8 <br />2632,6 <br />88 <br />3d <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 />40' <br />7289.8 <br />3542.4 <br />E <br />40' <br />8767.0 <br />4743.6 <br />E <br />50' <br />6126.4 <br />2658.5 <br />,401 <br />50' <br />7311.7 <br />3559.6 <br />536 <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 />2884.7 <br />10' <br />7355.6 <br />3594.2 <br />10' <br />8851.0 <br />4814.1 <br />2d <br />6180.2 <br />2697.9 <br />20' <br />7377.8 <br />3611.7 <br />2d <br />8879,3 <br />4837.6 <br />30' <br />6198.3 <br />2711.2 <br />30" <br />7399.9 <br />3629.2 <br />30' <br />8907,7 <br />4861.7 <br />40' <br />6216.4 <br />2724.5 <br />40' <br />7422.2 <br />3646.8 <br />40" <br />8930.3 <br />4885.7 <br />50' <br />6234.6 <br />2737.9 <br />15° C. <br />50' <br />7444.6 <br />3664.5 <br />15° C. <br />50' <br />8905.0 <br />4909.9 <br />15• C. <br />95°" <br />6252.8 <br />2751.3 <br />T <br />105' <br />7467.0 <br />3682.3 <br />T <br />116° <br />8993.S <br />4934.1 <br />T <br />ld <br />6271.1 <br />2764.8 <br />1.30 <br />ld <br />7489:6 <br />3700.2 <br />1.56 <br />lo" <br />9022.7 <br />4958.6 <br />1.93 <br />2d <br />6289.4 <br />2778.3 <br />I, <br />2d <br />7512.2 <br />3718.2 <br />E <br />•20' <br />9051.7 <br />4983.1 <br />E <br />3d <br />6307.9 <br />2792.0 <br />3d <br />7534.9 <br />3736.2 <br />BOB <br />30' <br />9080.9 <br />5007.8 <br />4d <br />6326.3 <br />2805.6 <br />•604 <br />4d <br />7557.7 <br />3754.4 <br />40' <br />9110.3 <br />5032.6 <br />1.09' <br />50' <br />6344.8 <br />2819.4 <br />60' <br />7580.5 <br />3772.6 <br />51Y <br />9139,8 <br />5057.6 <br />96° .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 />5107.0 <br />20' <br />6400.8 <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 />2875.030' <br />C. <br />7672,9 <br />3846.5 <br />C. <br />3d <br />9259.0 <br />5158.8 <br />40' <br />6438.4 <br />2889.0 <br />20• <br />40' <br />7696.3 <br />3865.2 <br />�° <br />40' <br />9289.2 <br />5184.5 <br />20° C. <br />50' <br />6467.3 <br />2903.1 <br />T <br />50' <br />7719.7 <br />3884.0 <br />T <br />50' <br />03L9.5 <br />5210.3 <br />T <br />1.74 <br />2.08 <br />2.52 <br />97° <br />6476.2 <br />2917.3 <br />E <br />107° <br />7743.2 <br />3902.9 <br />E <br />1176 <br />9349.9 <br />5236.2 <br />E <br />10' <br />20' <br />6405.2 <br />6514.3 <br />2931,6 <br />2945.9 <br />•809 <br />10' <br />20' <br />7766.8 <br />7790.5 <br />3921.9 <br />3940.9 <br />1.08 <br />10, <br />20f <br />9380.5 <br />9411.3 <br />5262.3 <br />5288.6 <br />1.46 <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 />5d <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 />7886.2 <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 />25• C. <br />]d <br />9567.25422 <br />' 1 <br />25° C. <br />20 <br />6630.1 <br />3033.1 <br />20' <br />7934.6 <br />4057.4 <br />2d <br />9598.9 <br />5449.2 <br />30' <br />6649.6 <br />3047.9 <br />T <br />30' <br />7959.0 <br />4077.2 <br />T <br />.30' <br />9630.7 <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 />50'' <br />6688.8 <br />3077.7 <br />E <br />W. <br />8008.0 <br />4117.0 <br />E <br />W. <br />9694.7 <br />5531.7 <br />E <br />99' <br />6708.6 <br />3092.7 <br />1.02 <br />109• <br />8032.7 <br />4137.1 <br />1.38 <br />119° <br />9727.0 <br />6559.4 <br />1,83 <br />Id <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 />5616.5 <br />30' <br />6768.1 <br />3138,1 <br />30' <br />8107.3 <br />4197.9 <br />3d <br />9824.8 <br />5643.8 <br />40' <br />6788.1 <br />3153.3 <br />40' <br />8132:3 <br />4218.4 <br />41Y <br />9857.7 <br />5672.3 <br />50' <br />6808.2 <br />3168.7 <br />50' <br />8157.5 <br />4239.0' <br />bd <br />9890.8 <br />5700.9 <br />100° <br />6828.3 <br />3184,1 <br />30° C• <br />1100 <br />8182,8 <br />4259.7 <br />30° C. <br />130° <br />9924.0 <br />5729.7 <br />30° C. <br />ld <br />6848.5 <br />3199.6 <br />T <br />1d <br />8208.2 <br />4280.6 <br />T <br />j <br />9957,5 <br />5758,6 <br />T <br />20' <br />6868.8 <br />3215.1 <br />2,62 <br />2d <br />8233.7 <br />4301.4 <br />3.14 <br />2d <br />9991.0 <br />5787.7 <br />3.81 <br />30' <br />6889.2 <br />3230.8 <br />' E <br />30' <br />8259.3 <br />4322.4 <br />E <br />3d <br />10025.0 <br />5817.0 <br />E <br />4d <br />6909.6 <br />3246,5 <br />40' <br />8285.0 <br />4343.6 <br />40' <br />10059.0 <br />5846.5 <br />6(Y <br />6930.1 <br />3262.3 <br />1.22 <br />&Y <br />8310.8 <br />4364.8 <br />I•� <br />50' <br />10093.0 <br />5878.1 <br />2.20 <br />T- R tan. X I E- R exseo Y2 I <br />