|
IV TABLE 1. -'Tangents and Externalsto a 10 Curr
<br />h
<br />',Chord =100 ft.
<br />- Int, '
<br />Angle
<br />Tangent
<br />External
<br />Inc.--
<br />A _ ngle
<br />Tangent
<br />External
<br />Int
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />43°
<br />22:17.0
<br />428.5
<br />501
<br />2671.8
<br />592:3
<br />671
<br />3110.9
<br />i90.1
<br />10'
<br />2266.6
<br />432.0
<br />10'
<br />2081.9
<br />596.6
<br />10'
<br />3121.7
<br />795.2
<br />20
<br />2276.2
<br />435.6
<br />20
<br />2692.1
<br />600.9
<br />20
<br />3132.6
<br />800.4
<br />30
<br />2285.9
<br />439,2
<br />30
<br />2702:3
<br />605.3
<br />30
<br />3143.4
<br />805.6
<br />40
<br />2295.6
<br />442,8
<br />40
<br />2712.5
<br />609.6
<br />40
<br />3154.2
<br />810.9
<br />50
<br />2305.2
<br />.446.4
<br />50
<br />2722.7
<br />614.0
<br />50
<br />3165.1
<br />816.1
<br />44
<br />2314.9
<br />450.0
<br />•51
<br />-2732.9:
<br />618.4
<br />68
<br />3176.0
<br />821.4
<br />10
<br />2324.6
<br />453.6
<br />10
<br />2743:1
<br />622.8
<br />10
<br />3186.9
<br />826.7
<br />-20
<br />2334.3
<br />4.57.3
<br />20
<br />2753.4
<br />627.2
<br />20
<br />3197.8
<br />832.0
<br />30
<br />12344.1
<br />461.0
<br />30
<br />2763.7
<br />031.7
<br />30
<br />3208.8
<br />'837.3
<br />40
<br />2353.8
<br />464.6
<br />40
<br />2773:9
<br />.636.2
<br />40
<br />3219.7
<br />842.7
<br />50
<br />2363.5
<br />468.4
<br />50
<br />2784.2
<br />640.7
<br />50
<br />-3230.7
<br />848.1
<br />45
<br />'2373.3
<br />472-1.
<br />'62 -
<br />2794.5
<br />645.2
<br />59
<br />3241.7
<br />853.5
<br />'10
<br />2383,1
<br />475,8
<br />'. 10
<br />2804-9
<br />G49,7
<br />10
<br />3252.7
<br />858,9
<br />20
<br />-2392.8
<br />470,6
<br />20
<br />2815-2
<br />654,3
<br />20
<br />3263.7
<br />864A
<br />30
<br />2402.6
<br />483.4
<br />30
<br />2825 - ti
<br />658.8'
<br />30
<br />3274.8
<br />869.8
<br />40
<br />2412.4
<br />487.2
<br />.40
<br />2835.9
<br />663.4
<br />40
<br />3285.8
<br />875.3
<br />50 .
<br />2422.3
<br />491.0
<br />50
<br />.2546,3
<br />66810
<br />50,
<br />3296,9
<br />880.8
<br />46
<br />2432.1
<br />494.8
<br />53
<br />2856.7
<br />672.7
<br />-60
<br />330S.0
<br />88fi-4
<br />10
<br />2441.9
<br />498.7
<br />10
<br />2867.1
<br />677.3
<br />10
<br />3319.1
<br />892.0
<br />20
<br />2451:S
<br />• 502.5
<br />20
<br />2877.5
<br />682,0
<br />20
<br />3330.3
<br />897.5
<br />-•30
<br />2461.7
<br />506.4
<br />30
<br />2888.0
<br />686.7
<br />30
<br />3341.4
<br />903.2
<br />40
<br />'2471.5
<br />510.3
<br />40
<br />2808.4
<br />691.4
<br />40
<br />3352.6
<br />908.8
<br />-- 50
<br />2481.4
<br />514.3
<br />50
<br />2908.9
<br />G9G.1
<br />50
<br />3363.8
<br />914.5
<br />47
<br />2491-3
<br />518.2,
<br />54
<br />2919.4
<br />700.9
<br />61 •
<br />3375.0
<br />920.2
<br />10
<br />2501-2
<br />.522.2
<br />10
<br />2929,9
<br />705.7
<br />- 10
<br />33S6.3
<br />925.9
<br />20
<br />2511.2
<br />• 526,1
<br />20
<br />2940.4
<br />710,5
<br />,
<br />20
<br />3397.5
<br />931.6
<br />30
<br />2521,1
<br />530.1
<br />30
<br />2951.0
<br />715.3
<br />30
<br />3408.8
<br />937-3
<br />40
<br />2531,1
<br />534.2
<br />40 +
<br />2961 5
<br />720.1.
<br />40
<br />3420-1
<br />943.1
<br />50:
<br />.2541.0
<br />.538,2
<br />50
<br />2972,1
<br />725.0
<br />50
<br />3431-4
<br />948.9
<br />46
<br />2551.0
<br />542.2
<br />.66
<br />2982.7
<br />729.9'
<br />-62
<br />3442:7
<br />954.8
<br />10
<br />2561.0'
<br />546.3
<br />10
<br />2993.3
<br />734.8.
<br />10
<br />3454.1
<br />960,6
<br />20
<br />2571.0
<br />550.4,
<br />- -20
<br />3003.9
<br />739.7
<br />20
<br />3465.4
<br />966.5
<br />30
<br />2581.0
<br />554.5
<br />30
<br />3014.5
<br />744.6
<br />30
<br />3476:8
<br />972.4
<br />40 '
<br />2591.0
<br />558.6
<br />40
<br />3025.2
<br />•749.6
<br />40
<br />3438.3
<br />978.3
<br />50
<br />2601.1
<br />562.8'
<br />50
<br />3035.8
<br />754.6
<br />50
<br />3499.7
<br />984.3
<br />49
<br />2611.2
<br />566.9
<br />56
<br />3046:5
<br />759.6
<br />63
<br />3511.1
<br />990.2
<br />10;
<br />2621.2
<br />571.1
<br />10
<br />3057.2
<br />764.6
<br />10
<br />3022,6
<br />996.2
<br />20
<br />2631.3
<br />575.3
<br />20
<br />3067-9
<br />769.7
<br />20
<br />3334,1
<br />1002.3
<br />30
<br />264.1A
<br />579.5
<br />30
<br />3078:7
<br />774.7
<br />30
<br />3545.6
<br />1008.3
<br />40•
<br />2651.5
<br />583.8
<br />40
<br />3089.4
<br />779"S.
<br />40
<br />3557.2
<br />1014.4
<br />50;
<br />2661.6
<br />'588.0-
<br />-50
<br />3100.2
<br />784.9
<br />50
<br />356S.7
<br />1020.5
<br />Corrections to be Added (T -Tangent. E -.External.)
<br />Angle
<br />O=e 5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />306
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65° 7
<br />40°
<br />T=.13
<br />26
<br />40
<br />.53
<br />.67
<br />.80
<br />.93
<br />.105
<br />T20
<br />1.34
<br />1 .49
<br />1.6 4
<br />1.79 ].
<br />3603.5
<br />E =:023"
<br />.416
<br />.070
<br />.093
<br />.117
<br />.141
<br />.172
<br />.203
<br />.234
<br />.265
<br />".277
<br />.290
<br />.315
<br />45' _
<br />T=.15:30
<br />1669.2
<br />.44
<br />.60
<br />.76
<br />.91
<br />1.06
<br />1.21
<br />1.37
<br />1.52
<br />1.70
<br />1.37
<br />2.04 2•
<br />1057,7
<br />E-.030-
<br />.060
<br />,093
<br />.119
<br />.153
<br />.184
<br />,216
<br />.254
<br />.289
<br />.325
<br />.351
<br />.378
<br />.411
<br />50°
<br />T=.17
<br />.34
<br />.51
<br />.69
<br />.85
<br />1.02
<br />1.19
<br />1.36
<br />1.54
<br />1.72
<br />1.91
<br />2.10
<br />2."9 2.
<br />20
<br />B=.037,
<br />•.075
<br />.118
<br />.151
<br />.189
<br />.227
<br />.266
<br />.305
<br />.345
<br />.384
<br />.425
<br />.467
<br />.508
<br />55°
<br />T=.19'
<br />.38
<br />.57
<br />'.76
<br />.95
<br />1.14
<br />1.32
<br />1.52
<br />1.72
<br />1-92
<br />2.14
<br />1.15
<br />2.,616 2:
<br />4226.8
<br />E=,040
<br />.093
<br />.142
<br />..138
<br />.236
<br />.283
<br />.332
<br />3.81
<br />,420
<br />.479
<br />.580
<br />.582
<br />.641•
<br />60°
<br />T=.21
<br />.42
<br />.G3
<br />.84
<br />105
<br />1.27 .
<br />1.40
<br />1.71
<br />1,04
<br />2,17
<br />2,38
<br />2,60
<br />2.83 3•
<br />1-113,5
<br />E=.050
<br />.112
<br />.168
<br />.225
<br />.283
<br />.340
<br />398
<br />.457
<br />.516
<br />.575
<br />.636
<br />.697
<br />.774
<br />65°
<br />T=-23
<br />,4G
<br />,69.
<br />93
<br />1.16
<br />1.40
<br />1.64 '1.88
<br />50
<br />2.13
<br />2.39
<br />2.63
<br />2.89
<br />3.13 31
<br />1'
<br />I L ' 50
<br />H=.007
<br />.135
<br />.204
<br />.273
<br />.343
<br />.412
<br />.483
<br />.55t
<br />.625
<br />.697
<br />.711
<br />.845
<br />,9
<br />a°
<br />94
<br />341
<br />21
<br />i-45-
<br />43
<br />550
<br />77
<br />700
<br />07
<br />851 !
<br />TABLE Z E:x
<br />Tangenis and,iernaJs tD a P Curve. ?_
<br />Chord =100 ft. -;
<br />Int•
<br />Angle
<br />Tangent
<br />External
<br />Int
<br />Angle
<br />Tangent
<br />Se
<br />External
<br />Int
<br />Angle
<br />Tangent
<br />Externa!
<br />64°- .,L
<br />35S0.3
<br />1026,6
<br />71°
<br />4086.9
<br />1308.2
<br />73°..
<br />4639.8
<br />1643:0
<br />10"
<br />3591.9
<br />1032.8
<br />101
<br />4099.5
<br />1315.6
<br />10Y'
<br />4653,6
<br />1651:7'
<br />20
<br />3603.5
<br />1039,0
<br />20
<br />411,2.1
<br />1322,9
<br />1 .20
<br />4607.4
<br />1660.5
<br />" 30
<br />3615.1
<br />1045,2
<br />30
<br />4124.8
<br />1330.3
<br />'30
<br />4681.3
<br />1669.2
<br />" 40.
<br />3626.8
<br />1051,4
<br />-40
<br />4137.4
<br />1337.7
<br />40
<br />46951.2
<br />1678.1
<br />50
<br />3638.5
<br />1057,7
<br />.-50
<br />4150.1
<br />1345.1
<br />50
<br />4709.2
<br />1686,9
<br />55,
<br />3650.2.
<br />1053,9
<br />72
<br />4162,8
<br />1352,6
<br />79
<br />4723.2
<br />'1695.8
<br />10
<br />3661.9
<br />1070,2
<br />10
<br />4175.6
<br />1360.1
<br />10
<br />4737.2
<br />1704.7
<br />20
<br />3673.7,
<br />1075.6
<br />20
<br />4188.5
<br />1367.6
<br />20
<br />4751.2
<br />1713.7
<br />30
<br />3685.4
<br />1082.9
<br />30
<br />4201.2
<br />1375.2
<br />30
<br />4765.3
<br />1722.7
<br />40
<br />3697.2
<br />1089,3
<br />'40
<br />4214.0
<br />1382.8
<br />40
<br />4779.4
<br />1731.7
<br />50
<br />3709.0
<br />1095,7
<br />50 -
<br />4226.8
<br />1390.4
<br />50 "
<br />4793.6
<br />1740.8
<br />66 •
<br />3720.9
<br />1102,2
<br />.73
<br />4239-7
<br />1398.0.,
<br />180
<br />4807.7
<br />1749.9
<br />10'
<br />.3732.7,
<br />1108.6
<br />10
<br />4252,6
<br />1105.7--,10
<br />1'
<br />4322.0
<br />1759.0
<br />20-
<br />3744.6
<br />1115,1
<br />20
<br />4265-0
<br />1-113,5
<br />" 20
<br />4836.2
<br />1768.2
<br />'30
<br />3756.5
<br />1121,7
<br />30
<br />-4278.5
<br />1421.2
<br />30
<br />4850.5
<br />1777.4
<br />40'
<br />376$.5
<br />1128,2
<br />40'
<br />4291-5.
<br />1429-0
<br />-40
<br />4854.8
<br />•1786.7
<br />50
<br />37804
<br />1134,8
<br />-50_-
<br />4304-6
<br />1436.8
<br />I L ' 50
<br />4379.2
<br />1796.0
<br />1,00
<br />1.33
<br />1.68
<br />2.62 2.36
<br />2.70
<br />3.01
<br />3.40
<br />3.77
<br />4.14
<br />67
<br />3792.4
<br />1141,4
<br />74
<br />4317.6,
<br />1444.6
<br />181
<br />4893.6
<br />1805.3
<br />.10.
<br />3804,4
<br />1148,0
<br />10
<br />4330.7
<br />1452.5
<br />r '10-"
<br />4908.0
<br />'1814.7
<br />.20
<br />3816.4
<br />1154,7
<br />-20
<br />4343.8
<br />1450.4
<br />20"
<br />4922-5
<br />1824.1
<br />30
<br />3828.4
<br />1161.3
<br />1..30 -
<br />4356.9.
<br />1458.4
<br />30"
<br />4937,0
<br />1833.6
<br />40
<br />3840.5
<br />1168.1
<br />40'
<br />4370.1
<br />1476.4
<br />.40
<br />4951.5
<br />1843.1
<br />50
<br />3852.6'
<br />.1174.8
<br />50
<br />4383.3
<br />1484.4
<br />50
<br />4966.1
<br />1852,6
<br />68
<br />3864.7
<br />1131.6
<br />75
<br />4396.5
<br />1492.4.
<br />'82 -
<br />4980.7
<br />1862:2
<br />10
<br />8876.8
<br />1188.4
<br />10
<br />4109.8
<br />1500.5'
<br />10
<br />4995.4
<br />1871.8
<br />20
<br />3889.0
<br />1195.2
<br />20
<br />4423.1
<br />1508.6
<br />20
<br />5010.0
<br />1881.5
<br />30
<br />3901.2.
<br />1202.0
<br />30
<br />4436.4
<br />1516.7.
<br />30
<br />5024.8
<br />1891.2
<br />40
<br />3913,4
<br />1208.9
<br />40
<br />4449.7
<br />1524,9
<br />'40-
<br />5039.5
<br />'1900.9
<br />50
<br />3925:6'
<br />1215.8
<br />`. -50
<br />4463.1
<br />1533.1
<br />50
<br />5054.3
<br />1910.7
<br />6.9 -
<br />3937.9
<br />1222..7
<br />76
<br />4476.5
<br />1541.4
<br />83
<br />5069.2
<br />1920.5
<br />10
<br />3950,2
<br />1229.7
<br />10-
<br />4489:9'
<br />1549.7
<br />10
<br />5084.0
<br />1930.4
<br />20
<br />3962.5
<br />1236.7
<br />20
<br />4503.4
<br />1558-0
<br />20
<br />5099.0
<br />1940.3
<br />30
<br />3974.8
<br />1243,7
<br />30
<br />4516,9
<br />1566,3
<br />30
<br />5113.9
<br />1950,3
<br />40
<br />3967.2
<br />1250.8
<br />40
<br />4530,4
<br />1574.7
<br />40
<br />5128.9
<br />1060.2
<br />50"
<br />3999.5
<br />1257,9
<br />50
<br />4514.0
<br />15°3.1
<br />50
<br />5143.9
<br />1070.3
<br />70
<br />4011.9.
<br />1265.0
<br />"77
<br />4557.6
<br />1591.0
<br />84
<br />5159.0
<br />1980.4,
<br />10
<br />4024.4:
<br />1272.1
<br />10
<br />4571.2
<br />1,600.1
<br />10
<br />5174.1
<br />1990.5
<br />20
<br />'4036.8
<br />1279.3
<br />20
<br />4584.8
<br />1608.6
<br />20
<br />M9.3
<br />2000.6
<br />30
<br />4049.3'
<br />1236.5
<br />30
<br />4593:5
<br />1617.1
<br />30
<br />5204,4
<br />2010.8
<br />40
<br />4061.S.
<br />1293.6
<br />40
<br />,4612.2
<br />1625.7'
<br />40
<br />5219,7
<br />2021.1
<br />50
<br />4074.4-
<br />1300.9
<br />''50
<br />4626. 0,1
<br />1634,4
<br />50
<br />5234.9
<br />2031,4
<br />Corrections to be Added (T =Tangent. E =External.)
<br />Int,
<br />Cu49e 5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />30° 35°
<br />400
<br />4a°'
<br />S0°
<br />55°
<br />60°
<br />65°
<br />70°
<br />Angle
<br />T=.21
<br />42
<br />.63
<br />.84
<br />1,05
<br />L27 1.49
<br />1.71'
<br />1.90
<br />2.17
<br />2,38
<br />2.80
<br />2.83
<br />3.07
<br />�°
<br />E =.056
<br />.112
<br />.168
<br />.225
<br />,283
<br />.340 .398
<br />.457
<br />.516
<br />.575
<br />,636
<br />.897
<br />,774
<br />,851
<br />-,46
<br />.69
<br />.93
<br />1,16
<br />1-40 1"64
<br />1.89
<br />2.121
<br />2.38
<br />263
<br />2.89
<br />3.13
<br />3.39
<br />650T=.23
<br />,E=.067.
<br />.135
<br />.20.1
<br />.273
<br />,343
<br />.412 .493
<br />554
<br />.M
<br />.697
<br />.711
<br />.845
<br />.922
<br />1.01
<br />70°
<br />T-25
<br />.51
<br />.76
<br />.1.02
<br />1.28
<br />1.54 1.80
<br />2.06
<br />2.321
<br />2.60
<br />2.98
<br />3.10
<br />3.44
<br />3.72
<br />E=.080
<br />.159
<br />.240
<br />.321
<br />.403
<br />.485 .559
<br />A62
<br />,73'5
<br />.919
<br />.906
<br />.994.71,08
<br />1.17
<br />75°
<br />T-27
<br />.56
<br />.93 -
<br />1.12
<br />1.40
<br />1.69 1.98
<br />'.518
<br />2.87
<br />2.ST
<br />2.97
<br />3-E6 "
<br />3.47
<br />3.73
<br />4.09
<br />E=.095
<br />.182
<br />.296
<br />' .383
<br />.480
<br />.678
<br />,777
<br />.3'77
<br />.977
<br />1-07
<br />1.18
<br />1.29
<br />1.80
<br />80°
<br />T=.30
<br />.61
<br />.91
<br />1.22
<br />1.53
<br />1.84 2.15
<br />2.46
<br />12.7,9
<br />13.10
<br />3,44
<br />3.78
<br />4.12
<br />14.46
<br />E=:1151
<br />.230
<br />.332
<br />.445
<br />558
<br />,671 .787
<br />.9031.FA.
<br />1.13
<br />1.25
<br />1.38
<br />1.50
<br />1.62
<br />SS°
<br />T-33 `
<br />66
<br />1,00
<br />1.33
<br />1.68
<br />2.62 2.36
<br />2.70
<br />3.01
<br />3.40
<br />3.77
<br />4.14
<br />4.55
<br />4.89
<br />E=.128
<br />.259
<br />.391
<br />.524
<br />.657
<br />.790 .926
<br />1.06
<br />1260
<br />1.34
<br />1.47
<br />1:62
<br />1.76
<br />1.91
<br />
|