|
I
<br />IV TABLE -I. Tangents and Externals to a 1''Curve.
<br />Chord =100 'f t.
<br />Angle ,
<br />Tangent
<br />External
<br />'ale
<br />Tangent
<br />External
<br />Int'Angle
<br />, Tangent
<br />External
<br />43°
<br />'2257.0
<br />42S'.5
<br />60?. -
<br />2671.8
<br />592,3
<br />67°
<br />3110.9
<br />1.94
<br />'10'
<br />'2266.6
<br />432.0
<br />10'
<br />2681.9
<br />596.6
<br />l0'
<br />3121.7
<br />.'x90.1
<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 />-40-
<br />'2285.9
<br />'2295.6
<br />439.2
<br />30
<br />2702.3
<br />G05.3
<br />30
<br />3113.4
<br />805.6
<br />40
<br />T=,17
<br />442,8
<br />40
<br />3.712.5
<br />'600,0
<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 />018.4
<br />58.•=
<br />3176.0
<br />821.4
<br />"l0
<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 />457.3•
<br />20,
<br />2753,4
<br />6`27.2
<br />20
<br />3197.8
<br />832.0
<br />30
<br />2344.1
<br />461.0
<br />30;-
<br />2763.7
<br />031,7
<br />30
<br />3208.8
<br />837.3
<br />.i 40
<br />2353.8
<br />464.6'
<br />.'40
<br />2773.9
<br />636,2
<br />x•40
<br />2.88 3.13
<br />842.7
<br />50
<br />2363.5
<br />468.4
<br />50 '
<br />2784-2
<br />640,7
<br />50
<br />,3210.7
<br />3230.7
<br />843,1
<br />=48
<br />2373.3
<br />472,1
<br />52
<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 />649.7
<br />- 10
<br />3252.7
<br />S58.9
<br />l0
<br />2392.8
<br />479:6
<br />20
<br />2815.2
<br />654,3
<br />20
<br />.3263.7
<br />864.3
<br />30
<br />2402.6
<br />483.4
<br />30
<br />2325.6
<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 />2846.3
<br />663,0
<br />-50
<br />3296:9
<br />830.8
<br />.:46
<br />2432.1
<br />494.8
<br />63-
<br />2856.7
<br />672,7
<br />66
<br />3308.0
<br />886:4
<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 '•2451.8
<br />3316.4
<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 />G86.7
<br />•30
<br />3311.4
<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 />.008.8.
<br />50
<br />'2481.4.
<br />514.3
<br />50
<br />2908.9
<br />696.1
<br />-50
<br />3363.8
<br />914.5
<br />17'.
<br />2461,3
<br />518.2
<br />54
<br />2919,4
<br />700.9
<br />61
<br />3375.0
<br />920:2
<br />40 -'2501.2
<br />3876.8
<br />522.2
<br />10
<br />2929:9705.7
<br />1500.5
<br />10
<br />3386.3
<br />925.9
<br />;20
<br />251'1.2
<br />526.1
<br />-20
<br />2940:4-
<br />710.5
<br />20
<br />3397.5'
<br />931:6
<br />30 :•2521'.1
<br />'3001. 2
<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 />-94371
<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 />48
<br />2551.0
<br />542.2
<br />55
<br />2982.7
<br />729.91
<br />62
<br />3442.7
<br />954.'3
<br />10
<br />2561.0
<br />540-3
<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 />347G.8
<br />'972.4
<br />40
<br />2591:0
<br />55$.6
<br />40
<br />3025.2
<br />749.6
<br />40
<br />3485.3
<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 />934.3
<br />46
<br />2611.2
<br />566.9
<br />56'
<br />30.16.5
<br />759.6
<br />63-•'-
<br />3511.1
<br />990.2
<br />10
<br />2521.2
<br />'571.1
<br />- 10
<br />3057,2
<br />764.6
<br />•10
<br />3522.6
<br />906.2
<br />20
<br />2631.3
<br />575.3
<br />20
<br />3067.9
<br />769.7
<br />20
<br />3534,1
<br />1002.3
<br />30
<br />2641.4
<br />579.5
<br />30
<br />307S.7
<br />774.7
<br />30
<br />3545.6
<br />.1008.3
<br />140
<br />2651.5
<br />583.8
<br />40
<br />3059.4
<br />779.9
<br />40
<br />3557:2
<br />101-4.4
<br />50
<br />2661,E
<br />585.0
<br />-50
<br />3100.2
<br />7S4.9
<br />50
<br />3568:7
<br />1020.5
<br />Corrections to -be Added (T =Tangent. E =External.)
<br />AngleInt.
<br />Curve 5°
<br />IO° 150 20° 25°
<br />30° 35'•
<br />40° 45°
<br />50°
<br />55°
<br />60° 65°
<br />70°
<br />Do
<br />- T=.13
<br />.26 ".40. -.53- .67
<br />-..SD �+3
<br />.106'1.20
<br />1"34
<br />1.49
<br />1.134 1.79
<br />1.94
<br />10'
<br />E=,023
<br />.046 .070 .093 .117
<br />.141 .172
<br />.203 .234
<br />.265
<br />.277
<br />.290 .315..341
<br />1651.7
<br />45°
<br />T=',15
<br />.30 .44 . .50 .76
<br />.91 1.06
<br />1.21 1.37
<br />1.52
<br />I.70
<br />1.87 2.04
<br />2.2f
<br />30
<br />E=.030
<br />.060 .093 _.119 .153
<br />.184 .216
<br />.25' .289
<br />.325
<br />.3511-:378
<br />.411'.445
<br />1669 e2
<br />40
<br />T=,17
<br />.34 .51. .68 .85
<br />1.02 1.19
<br />1.36 1:54
<br />1.72
<br />1.91
<br />2,10 2,29
<br />43
<br />50
<br />F =•037
<br />.075 .116 '.151 .189
<br />.227 .265
<br />.305 .345
<br />.384
<br />,425
<br />.407 .50S550
<br />�2;
<br />55°
<br />T=•19
<br />.38 .57 ' .70 t95
<br />1.14 I-32 .
<br />1.52 1.72
<br />1.92
<br />2.14
<br />2-35 2.56
<br />77
<br />110
<br />E=.046
<br />.093 .142 .168 .236
<br />.283 .332
<br />3.81 .420
<br />.479
<br />,530
<br />.582 .641
<br />.700
<br />60°
<br />T=.21
<br />.42 .63' .81 1.05
<br />1.27 1.49
<br />1.71 1.94
<br />2.17
<br />2.38
<br />2.00 2.83
<br />3A7
<br />30
<br />E =-050
<br />'.112 .168 .225 .283
<br />.340 .308
<br />.457 5113
<br />.075
<br />.630
<br />.097 .774
<br />.85!
<br />65°
<br />T=-23
<br />AG 69 ,93 1.16
<br />1-40 1.64
<br />1.83 2.13
<br />2,38
<br />2.63
<br />2.88 3.13
<br />3.39
<br />_
<br />E=.067
<br />.135 .204 .273 .343
<br />.412 .483
<br />.554 .625
<br />,697
<br />.711
<br />,8.15 .922'1.01
<br />1740.3
<br />TABLE I. = Tangel)ta and Externals to a. 1' Curve: V
<br />Chord=100 ft.
<br />Anile
<br />Tangent
<br />External
<br />A sje
<br />Tangent
<br />External
<br />pIje
<br />Tangent
<br />External
<br />64°
<br />3580.3
<br />1026,6
<br />71°.
<br />4086:9
<br />1308.2
<br />-78°
<br />•4639:8
<br />1643:0
<br />10'
<br />.'3591.9
<br />1032:8
<br />10'
<br />4099.5
<br />1315.6
<br />-10'
<br />4653.6
<br />1651.7
<br />•20
<br />3603.5
<br />1039.0
<br />20
<br />4112.1
<br />1322.9
<br />20
<br />4G57.4
<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 e2
<br />40
<br />3626.8
<br />1051,4
<br />40
<br />! 4137:4
<br />1337.7
<br />i- 40•
<br />4695.2
<br />1678.1
<br />50
<br />3638.5
<br />1057,7
<br />50
<br />4150:1
<br />1345.1
<br />60
<br />470D,2
<br />1686-9
<br />65
<br />3650:2
<br />1063,9,
<br />72•
<br />4162.8
<br />1352:6
<br />•79
<br />4723.2
<br />1695.8
<br />110
<br />3661.9
<br />1070;2
<br />10
<br />41=5.0
<br />'1360.1
<br />10
<br />4737:2
<br />1704.7
<br />-.20
<br />3673.7'
<br />1076A.
<br />20
<br />4188.5
<br />1367.G
<br />2W
<br />17.51.2
<br />1713.7
<br />30
<br />3685.4
<br />I082.0
<br />30
<br />u%. 2
<br />1375.2
<br />30'
<br />4765.3
<br />1722,7
<br />46
<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 />109.5.7
<br />--50
<br />'4226,8
<br />1390.4,
<br />- • 50
<br />4793.6
<br />1740.3
<br />66.
<br />3720:9
<br />1102.2
<br />73
<br />4239.7
<br />1393.0
<br />BD'
<br />4807.7
<br />1749.9
<br />10
<br />3732.7
<br />I108.0
<br />-'1'0'
<br />'4252.G
<br />1405-7
<br />10
<br />4822.0
<br />1759.0
<br />20
<br />,3744.6
<br />1115.1
<br />20
<br />:%1265:6
<br />1913 5
<br />20
<br />4836.2'
<br />1768.2
<br />-
<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 />3768.5
<br />1123.2
<br />'40•
<br />4291.5
<br />1429.,0
<br />40•
<br />4564.8
<br />1786.7
<br />50
<br />3780.4
<br />1134.8
<br />50
<br />4304.6
<br />143G.8
<br />I 50
<br />4879,2
<br />1796.0
<br />-67
<br />3792.4
<br />1141.4
<br />' 74
<br />4317.6
<br />1444:6
<br />81-
<br />4893.6
<br />1305.3
<br />10
<br />3804.4
<br />1148.0
<br />10"
<br />4330.7
<br />1432.5
<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 />4.922.5
<br />1824.1
<br />30
<br />3828:4
<br />1161.3
<br />30
<br />4356.9
<br />14133,4
<br />30
<br />4937.0
<br />1833-0
<br />40
<br />3340.5
<br />11681.1
<br />40
<br />4370.1
<br />1476,4
<br />A0
<br />4951.5
<br />1843,1
<br />50.
<br />3S52.6
<br />1174.8
<br />50
<br />4353.3
<br />148.4,4
<br />50
<br />4966.1
<br />1852,6
<br />68
<br />3864.7
<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 />4.409-8
<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 />I508.6
<br />20
<br />5010.0
<br />1881.5
<br />30•
<br />'3001. 2
<br />1202.0
<br />-30
<br />4430.4,
<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 />69
<br />3937.9
<br />1222.7
<br />76
<br />4476.5
<br />1541.4
<br />83
<br />5009.2
<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 />450'3.4
<br />1558.0
<br />20
<br />5099'0
<br />1940,3
<br />30
<br />3974.8
<br />113.7
<br />30
<br />4516.9
<br />1566.3
<br />30
<br />511319
<br />1050.3
<br />40'
<br />3987.2
<br />1250.8
<br />40
<br />4530.4
<br />1.574.7
<br />40'
<br />5128.9
<br />I960.2
<br />50
<br />3999.5
<br />1257.9
<br />50
<br />4544.0
<br />1583,1
<br />50
<br />5143.9
<br />1970.3
<br />7fl
<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 />4030,.8
<br />1279.3
<br />20
<br />4584.8
<br />1608.6
<br />20
<br />5189.3
<br />2000.6
<br />30
<br />4049.3_
<br />1286.5
<br />30
<br />.4598.5
<br />11317.1
<br />30
<br />5204.4
<br />2010.8
<br />40
<br />4061.8
<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
<br />1634.4
<br />50
<br />5234.9
<br />2031,4
<br />r "
<br />Corrections to be Added (T =Tangent. E=External.)
<br />Int.
<br />Cave 5°
<br />-10°"
<br />15°
<br />20°
<br />251
<br />301
<br />351
<br />400'
<br />45° Sr
<br />S'a°
<br />60'
<br />`65°
<br />70°
<br />Angle .
<br />, -
<br />-
<br />-
<br />-
<br />-
<br />T=.21
<br />• .42
<br />.03
<br />84
<br />1,05
<br />1.27
<br />1.49
<br />1.71-
<br />1:94 2.17
<br />2.38
<br />2.60
<br />2.83
<br />3.07
<br />601
<br />E = Q8B
<br />.112_
<br />.168
<br />.225
<br />.253
<br />.340
<br />.388
<br />.457
<br />816 .575
<br />.636
<br />.607
<br />,774
<br />-,851
<br />'1-.23
<br />.46
<br />.69
<br />43
<br />1.16
<br />1.40
<br />1.64
<br />1.S8'
<br />2.13 .2.38
<br />2.63
<br />2.88
<br />3:13
<br />3.39
<br />'],=•067
<br />.135
<br />.204
<br />..273
<br />.343
<br />.412
<br />.483
<br />.554
<br />.625 .597
<br />.711
<br />.845
<br />.922
<br />1.01
<br />1.02
<br />1,403
<br />L.5-4
<br />1.031.565
<br />2.619
<br />2
<br />18
<br />3.994
<br />70°
<br />E=.080
<br />.159
<br />.240
<br />.321
<br />.632
<br />a 735
<br />46
<br />1.08
<br />3.17'
<br />1.563
<br />1,450
<br />1.578
<br />1.898
<br />2.777
<br />.57 2.977
<br />8.152.877
<br />75°
<br />F=.025
<br />.182
<br />.286
<br />I.07 '1.18
<br />f-29
<br />1.39
<br />-T=30
<br />.91
<br />1 �2
<br />1,53
<br />1.84
<br />2,15
<br />2,46
<br />2.78 3.70'
<br />3.44,
<br />3.78
<br />4.12
<br />4.46
<br />80°
<br />E=.110
<br />.332
<br />.445
<br />•558
<br />.671
<br />.787
<br />-0031.02
<br />1.13
<br />1,25
<br />1.38
<br />1.50
<br />1.62
<br />850
<br />T=.33
<br />�22
<br />1.001.33
<br />1,68
<br />2-02
<br />2-36
<br />2.70
<br />3.05 3.40
<br />3.77
<br />4:14
<br />4:55
<br />4.59•E=,128
<br />.391
<br />.524
<br />.657
<br />.700
<br />.926
<br />1.06
<br />1.20 1,34
<br />11.47
<br />1.62
<br />1-76
<br />1.91'
<br />
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