|
T TA131_.F I. -Tangents and Externals "to a.l° C_llrve. -
<br />Chord -100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />g
<br />External
<br />Int
<br />Angle
<br />Tangent External
<br />Int.
<br />Int.
<br />Angle .
<br />Tangent
<br />g
<br />External
<br />,
<br />43°.
<br />'2257.0.
<br />428.5
<br />501 .
<br />2071.8
<br />592,3
<br />r.57,
<br />3110.9
<br />790,E
<br />10'
<br />2200.6
<br />43'1.0
<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 />3I32.0
<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 />58
<br />3176.0
<br />821.4
<br />10
<br />2324.6
<br />453.6
<br />10
<br />2743.1•
<br />G22.8
<br />10.
<br />3186:9
<br />826.7
<br />20
<br />2334.3
<br />457.3
<br />20
<br />2753.4
<br />627.2
<br />20
<br />3197.8
<br />832.0
<br />30
<br />2344.1
<br />461.0
<br />30
<br />2763.7
<br />631.7
<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 />52
<br />2704.5
<br />645:2
<br />68
<br />3241.7
<br />853.5
<br />.10
<br />2383.1
<br />475.8
<br />10
<br />2804.9
<br />649.7
<br />10
<br />3252.7
<br />858.9
<br />20
<br />2392.8
<br />479.6
<br />20
<br />2815.2
<br />6,54.3
<br />20
<br />3263.7
<br />864.3
<br />30
<br />2402.0
<br />4S3.4
<br />30
<br />2825.6
<br />058.8
<br />30
<br />3'274.8
<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.,1
<br />50,
<br />2422,3
<br />491.0'
<br />- •50
<br />2846.3
<br />668.0
<br />50
<br />3296.9
<br />880.8
<br />46-
<br />2432.1
<br />494.8
<br />63
<br />2856.7
<br />672.7
<br />60
<br />3308.0
<br />880.4
<br />r
<br />t 10
<br />2441.9
<br />498.7
<br />,
<br />.1 10
<br />2867.1
<br />677.3
<br />10
<br />3319.1
<br />892.0
<br />.20
<br />2451.8
<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 />33.11.4
<br />903.2
<br />• 40
<br />2471.5
<br />510.3
<br />40
<br />. 2898.4
<br />691.4
<br />40
<br />3352.6+
<br />908.8
<br />�60
<br />2481:4
<br />514.3
<br />50
<br />2908.9
<br />696.1
<br />50
<br />3363.8!
<br />914.5
<br />_
<br />j
<br />S7
<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 />2.;0 1. 2
<br />522.2
<br />10
<br />2929.0.
<br />705.7
<br />10
<br />3386.3
<br />925.9
<br />20
<br />- 25LI.2
<br />520.1
<br />. 20
<br />2940.4
<br />710.5
<br />20
<br />3397.5
<br />031.G
<br />30
<br />2;21.1
<br />530.1
<br />30
<br />2951.0
<br />715.3
<br />30
<br />3408.8
<br />937.3
<br />ISM .2
<br />2531.1
<br />534.2
<br />- 40
<br />2961.5
<br />720.1
<br />40
<br />3420.1
<br />943.1
<br />-,.40,
<br />50•
<br />2541.0
<br />538.2
<br />50
<br />2972.1
<br />725.0
<br />50
<br />3431.4
<br />949.9
<br />48,
<br />2551.0
<br />542.2
<br />55
<br />2982.7
<br />729.9
<br />62
<br />3442.7
<br />954.8
<br />10
<br />256L.0
<br />546.3
<br />10
<br />2993.3
<br />734.8
<br />-10
<br />3454.1
<br />900.6
<br />•20
<br />2571.0.
<br />550.4
<br />20.
<br />3003.9
<br />739,7
<br />20-
<br />3465.4
<br />900.5
<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.G
<br />40-
<br />3025.2
<br />749.6
<br />40
<br />3488.3
<br />978.3
<br />r 50
<br />20U1.1
<br />552.8
<br />50
<br />3035.8
<br />754.6
<br />50
<br />3499.7
<br />984.3
<br />49 .,
<br />2G11.2
<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 />1,0
<br />3057.2
<br />7G4.6
<br />10
<br />3522.6
<br />996.2
<br />20
<br />2631.3
<br />575,3
<br />20
<br />3067.0
<br />769.7
<br />20
<br />3534.1
<br />1002.3
<br />30
<br />2641.4
<br />579.5
<br />30
<br />3073.7
<br />774.7
<br />30,
<br />3545.6
<br />1008.3
<br />90,
<br />2651.5
<br />583,8
<br />40
<br />3089.4
<br />779.8
<br />40
<br />3557.2
<br />1014.4
<br />50
<br />2661,6
<br />588.0
<br />50
<br />3100.2
<br />7S4.0
<br />50
<br />3565.7
<br />-1020.5
<br />Corrections to be Added -(T =Tangent. E = External.)
<br />1°t
<br />_Aagla
<br />G'urve 5°
<br />100
<br />150
<br />200
<br />1 250
<br />300
<br />350
<br />400
<br />450
<br />500
<br />550
<br />600
<br />650
<br />700.
<br />-405
<br />T=.13
<br />.26
<br />.40
<br />.53
<br />.67
<br />.80
<br />.93
<br />.]On
<br />1,20
<br />1.34
<br />1.49
<br />1.64
<br />1.79
<br />1.94
<br />20
<br />E'=:023
<br />.046
<br />.070
<br />.093
<br />.117
<br />.141
<br />.172
<br />.263
<br />.234
<br />.265
<br />.277
<br />°90
<br />.315
<br />.311
<br />45.
<br />T=.15
<br />.30
<br />.44
<br />.60
<br />.76
<br />.91
<br />1.06
<br />1.21
<br />1.37
<br />1.52
<br />1.70
<br />1.87
<br />2.04
<br />2.21
<br />50
<br />E =.030
<br />.060
<br />.093
<br />.119
<br />.153
<br />.134
<br />.216
<br />.254
<br />289
<br />.325
<br />.351
<br />.378
<br />.411
<br />.445
<br />50°
<br />T=.17
<br />.34
<br />.SI
<br />G8
<br />.85
<br />102
<br />1.19
<br />1.36
<br />1.54
<br />1.72
<br />1:91
<br />2.I0 .
<br />2.29
<br />2.48
<br />' 30
<br />E=.037
<br />.075
<br />.115 ' .151
<br />.189
<br />.227
<br />.266
<br />.305
<br />.345
<br />.384
<br />.425
<br />.4 G7
<br />.508
<br />.550
<br />SP
<br />T=.19
<br />.33
<br />.57
<br />.76
<br />,95
<br />1.14
<br />1.32
<br />1.52
<br />L,
<br />1.92
<br />2.14
<br />2.35
<br />2.56
<br />2.77
<br />1102.2
<br />73
<br />.093
<br />AD
<br />.188
<br />.238
<br />.263
<br />.332
<br />3.81
<br />.420
<br />,479
<br />.530
<br />.582
<br />.641
<br />.700_
<br />600
<br />21 .
<br />.42
<br />.63
<br />.84
<br />1.05
<br />1.27
<br />1.49
<br />1.71
<br />1.94
<br />2.17
<br />2.38-
<br />2.60
<br />2.83
<br />3.07
<br />1421.2
<br />_=.058.1
<br />.112
<br />.169
<br />.225
<br />.283
<br />.340
<br />.398
<br />.457
<br />.516
<br />875
<br />.6,36
<br />.697
<br />.774
<br />.851
<br />�,
<br />T=.23 '
<br />:46
<br />69
<br />.93
<br />1'.16
<br />1.40
<br />1.64
<br />1.88
<br />2.13
<br />2.38
<br />2:B3
<br />2.88
<br />3.I3
<br />3.39
<br />1805.3
<br />E _m7�
<br />.135
<br />.204 .273
<br />.343
<br />.4121-.493
<br />1452.5
<br />':554
<br />.625
<br />.897
<br />.711
<br />.845
<br />.922
<br />1.01
<br />THELE I.: �,-'Tangents and' Externals'to a 1° Carve. ' V
<br />Chord= 100 ft.
<br />Lnt.Tan
<br />Angle
<br />Tangent
<br />g
<br />External
<br />Et.
<br />Aagle
<br />Tangent
<br />Extunal
<br />Int.
<br />Angle
<br />Tangent
<br />Fzternal
<br />64°
<br />3580.3
<br />1026.6
<br />71°
<br />4086.9
<br />1308.2
<br />780
<br />46,39.8
<br />IG43".0
<br />10'
<br />'3591.9
<br />1032.8
<br />10'
<br />4099.5
<br />1315.6
<br />10'
<br />4153.6
<br />16,51.7
<br />20
<br />3603.5
<br />1039.0
<br />20
<br />4112.1
<br />1322.9
<br />20
<br />4667:4'
<br />LG60.5
<br />30
<br />3615.1
<br />1045.2
<br />30
<br />4124.8
<br />1330.3
<br />30
<br />4631.3
<br />1669.2
<br />40
<br />3626.6
<br />1051.4
<br />40
<br />.4137.4
<br />1337.7
<br />40
<br />4695.2
<br />AGMI
<br />50
<br />3G38.5'
<br />1057.7
<br />50
<br />4I50.1'
<br />.1345.1
<br />50
<br />4709.2
<br />1686.0
<br />65 ::
<br />3650.2
<br />1063.9
<br />72
<br />.41G2.8
<br />1352.6
<br />79
<br />4723.2
<br />169:1.8
<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 />1,076.6
<br />20
<br />41S3.5
<br />1367.6
<br />2U
<br />4751.2
<br />1713.7
<br />' 30
<br />3685.4
<br />1082.9
<br />30
<br />4201.2
<br />1375.2
<br />3U
<br />476,5.3
<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 />1791.7
<br />50
<br />3709:0
<br />1095.7
<br />50
<br />4226,8
<br />1390.4
<br />5U
<br />4793.6
<br />1740.8
<br />66
<br />3720.9
<br />1102.2
<br />73
<br />4239.7
<br />1398.0
<br />80
<br />4807.7
<br />1749.9
<br />10
<br />3732.7
<br />1 M.6'
<br />10
<br />4252.6
<br />1405.7
<br />10
<br />4822.0
<br />1759.0
<br />20
<br />3744.6
<br />1t15.1
<br />20:
<br />1265-6
<br />1413.5
<br />20
<br />4336.2
<br />1768.2
<br />30
<br />3756.5
<br />112t.7
<br />30
<br />4278.5
<br />1421.2
<br />30
<br />4850.5
<br />1777.4
<br />40
<br />3768.5
<br />1,128.2
<br />40
<br />4291.5
<br />1429.0
<br />40
<br />4864.8
<br />1786.7
<br />50
<br />3730.4
<br />1134.8
<br />50
<br />4304.6
<br />1436.8
<br />50
<br />4879.2
<br />1796.0
<br />67
<br />3792.4
<br />1141.4
<br />74
<br />4317.0
<br />1444.6
<br />81
<br />489316
<br />1805.3
<br />10
<br />3304.4
<br />1148.0
<br />10
<br />4330.7
<br />1452.5
<br />- 10.
<br />4908.0
<br />1814.7 .
<br />20
<br />3316.4
<br />1154.7
<br />20
<br />4343.8
<br />1460.4
<br />20
<br />4922.5
<br />1.424.1
<br />30
<br />3323.4
<br />1161.3
<br />. 30
<br />4356.9
<br />1.168.4
<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 />3352.6
<br />1174.8
<br />50
<br />4383.3
<br />1484.4
<br />50
<br />4966.1
<br />1852.6
<br />68
<br />3804.7
<br />1181.6
<br />75
<br />4396.5
<br />1492.4
<br />82
<br />4980.7
<br />1862':2
<br />10
<br />3876.8
<br />1188.4
<br />10
<br />4409.8
<br />1500.5
<br />I0
<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 />ISM .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 />69
<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 />3987.2
<br />1250.8
<br />40
<br />4,530.4
<br />1574.7
<br />40
<br />5128:9
<br />1960.2
<br />50
<br />3999:5
<br />1257.9
<br />50
<br />4514.1)
<br />1553.1
<br />50
<br />5143.9
<br />1970.3
<br />70
<br />4011.9
<br />1265.0
<br />77
<br />4557.6
<br />1591:6
<br />84
<br />5159:0
<br />1980'.4
<br />10
<br />4024.4
<br />1272.1
<br />10
<br />4571.2
<br />.1600.1
<br />10
<br />5174.1
<br />1990.5
<br />20
<br />4036.8
<br />1279.3
<br />20
<br />4584.S
<br />1608.6
<br />20
<br />5189.3:
<br />2000.6
<br />30
<br />4049.3
<br />128G.5
<br />30
<br />4598.5
<br />1617.1
<br />30 .
<br />5204.4
<br />2010.8
<br />'40
<br />•4061.8
<br />1293.6
<br />40
<br />4G12.2
<br />1625.7
<br />40
<br />5219.7
<br />2021.1
<br />50
<br />4074.4
<br />1300.9
<br />50
<br />4626.0
<br />1634.4
<br />50
<br />5234.9
<br />2031.4
<br />Corrections to be Added (T=Tangent. E=Extemal.)
<br />Carva 5° 10° 15'.
<br />200
<br />250
<br />300
<br />35°
<br />.400
<br />450
<br />50°
<br />1 55° 1 60° 65°
<br />70°
<br />-Angle
<br />000 T=21 .42 .63
<br />.84
<br />1.05
<br />1.27
<br />1.49
<br />1.71
<br />1.94
<br />2.17
<br />2.33 2.60 2.83
<br />107
<br />--L=:056 .112 .168
<br />.22.5
<br />,283
<br />.340
<br />.398
<br />.457
<br />.518
<br />.575
<br />.636 .697 .774
<br />.851
<br />650 T=.23 .46 69
<br />.93
<br />L16
<br />1.40
<br />1.64
<br />1.88
<br />2.13
<br />2.38
<br />2.63 2.88 3.18
<br />3.39
<br />E=.007 .135 .204
<br />.273'
<br />.343
<br />.412
<br />.483
<br />.554
<br />.G25
<br />.697
<br />.711 ..845 .922
<br />1.01
<br />70,' T =.25 .51 76
<br />1.02
<br />1.28
<br />1.54
<br />1.80
<br />2.06
<br />2.33
<br />2.60
<br />2.88 3.16 3.44
<br />3.72
<br />E =:080 .159 .240
<br />.321
<br />.403
<br />.485
<br />.558
<br />.652
<br />.735
<br />.819
<br />.900 .994 1.08
<br />1.17
<br />750 T =.27 .5$ 83
<br />1.1'1
<br />1.40
<br />1.69
<br />11.98.
<br />2.27
<br />2.57
<br />2.87
<br />MG 3.47 3.78
<br />4.09
<br />E 4.095 .182 286
<br />.383
<br />.480
<br />.578
<br />.678
<br />.777
<br />.877
<br />,977
<br />1.07 1.18 1.20
<br />1.30
<br />90° =•30 .81
<br />2
<br />1.53
<br />1.84
<br />2.15
<br />2.48
<br />2.78
<br />3.10
<br />3.44 3.78 4.12
<br />4.46
<br />E =.110 .220
<br />45
<br />.558
<br />.6 1
<br />..787
<br />.903
<br />1A2
<br />1.13
<br />1.25 138 1.50
<br />1.62
<br />�:382:4
<br />850 T.33 66
<br />3
<br />1.$8
<br />2.02
<br />2.36
<br />2.70
<br />3.05
<br />3.40
<br />3.77 4.14 4.55
<br />4.89128
<br />.259
<br />24
<br />'.057
<br />.790
<br />'.026,.1.06
<br />a
<br />1.20
<br />1.34
<br />1.47 1.62 1.76
<br />1.91
<br />
|