|
1 TABLE L'•� Tangents and'Externals to a P Curve,
<br />Chard =100 ft.
<br />Int.-
<br />Angle
<br />Tangent
<br />External
<br />Inc,
<br />Angle
<br />Tangent
<br />External
<br />Int, ,.
<br />Angle
<br />Tangent
<br />External
<br />T=.13. :26 .40
<br />2257.0
<br />428.5;
<br />50°
<br />2671.8
<br />592:3
<br />57° '
<br />3140.0
<br />700.1
<br />10'
<br />2266.6
<br />432.0
<br />10'
<br />2081:9
<br />x•598,6
<br />10'
<br />3121.7
<br />795.2
<br />20'
<br />2276.2
<br />.435.6'
<br />20
<br />2692.1
<br />G00,9
<br />- 20
<br />3132.6
<br />800.4
<br />'
<br />30.
<br />2285.9
<br />439.2:
<br />30 : '
<br />2702:3'
<br />605.31
<br />- '•30
<br />3143.4
<br />805.6
<br />40 "2295.6
<br />191 2.10
<br />442.8'
<br />..40
<br />2712.5
<br />'609.6
<br />- 40
<br />3154.2
<br />810.9-
<br />50 .2305.2
<br />-.508-A-1
<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 />30
<br />2324.6
<br />453.0
<br />10
<br />2743.1
<br />-622.8
<br />10
<br />3186.9
<br />826.7
<br />i.- 20
<br />.225 .253
<br />457.3
<br />- 20
<br />2753:4
<br />627.2
<br />20
<br />3197.8
<br />832.0
<br />30
<br />.'2334.3
<br />2344:1
<br />461.0
<br />30
<br />2763.7
<br />631,7
<br />30,
<br />3208.5
<br />837.3
<br />40
<br />2353.8
<br />454.6
<br />40
<br />2773.9
<br />1636.2
<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 />46
<br />2373.3
<br />472.1'
<br />82-
<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 />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 />2825.6
<br />658.8
<br />30•
<br />3274.8
<br />660.8
<br />40
<br />2412:4
<br />487.2
<br />40
<br />2835.0
<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 />668.0
<br />50"
<br />•3296.9
<br />830.8
<br />46
<br />2432.1
<br />494,$
<br />53
<br />'2856:7
<br />672.7
<br />•60.
<br />3308.0
<br />886.4
<br />' 10
<br />2441.9
<br />' 498,7
<br />10
<br />1867,1
<br />677.3
<br />+- 10
<br />3319.1
<br />892.0
<br />-20
<br />2451.8
<br />602.5,
<br />20
<br />-2877.5
<br />652.0,
<br />20
<br />3330:3
<br />897.5
<br />30
<br />2461`.7,
<br />606.4
<br />• 30
<br />2885.0
<br />6SG.7
<br />30
<br />3341.4
<br />903.2
<br />908.8
<br />40
<br />2471.5
<br />510,3
<br />40
<br />2898,4
<br />691,4
<br />40
<br />3352:5
<br />3363.8
<br />914.5
<br />50
<br />.2481:4
<br />514.3
<br />50
<br />2908,9
<br />696.1
<br />50
<br />4966,1
<br />1852.6
<br />47-,
<br />2491:3.
<br />518.2!
<br />:54
<br />2919.4
<br />700.9
<br />'61
<br />3375,0
<br />020.2
<br />10,
<br />2501.2
<br />522.2
<br />10
<br />2929.9
<br />705,7
<br />10
<br />3386.3
<br />925.9
<br />20
<br />2511.2
<br />526 .1,
<br />20
<br />2940.4
<br />710.5
<br />20
<br />3397.5
<br />931.6
<br />937.3
<br />30-
<br />252 L.1
<br />530,1,
<br />30
<br />2951.0
<br />715.3
<br />30
<br />3408.8
<br />943.1
<br />40;
<br />-2531.1
<br />534.2,
<br />40
<br />'2961.5
<br />720.1
<br />40
<br />3420.1
<br />948.9
<br />50,
<br />2541.0
<br />538.2'
<br />50
<br />2972.1
<br />725.0
<br />50
<br />3431'.4
<br />1910.7
<br />d8 '
<br />2551.0
<br />542.2
<br />'546.3
<br />65 f
<br />2982.7'
<br />729.9
<br />62
<br />3442.7
<br />954.5
<br />'
<br />10
<br />2561.0
<br />1222.;7 -
<br />10
<br />2993.3,
<br />734.8
<br />10
<br />3454.1
<br />900.6
<br />966.5
<br />20
<br />2571.0
<br />'_550.4
<br />20
<br />3003.9
<br />739.7.
<br />20
<br />3465.4
<br />3476.8
<br />972.4
<br />30'
<br />2581.0
<br />554.5
<br />30
<br />'3014.5
<br />744.6
<br />30
<br />'3483.3
<br />978.3
<br />40•
<br />2591.0
<br />558.6
<br />40
<br />3025.2.
<br />749.6
<br />•40
<br />5113.0
<br />'984.3
<br />50
<br />2601.1
<br />562.8
<br />50
<br />3035.8
<br />754.6'
<br />50
<br />3499.7
<br />1960.2
<br />49
<br />2611.2
<br />566.9
<br />66--
<br />3046.5;
<br />759,6
<br />63
<br />3511.1
<br />990.2
<br />10-
<br />2021.2
<br />•571,1
<br />10
<br />3057.2,
<br />764.6.
<br />'" 10
<br />3522.6
<br />996.2
<br />20
<br />2631:3
<br />575.3;
<br />20
<br />3067.9'
<br />769.7
<br />2(
<br />3534.1
<br />1002.3-
<br />IO08.3
<br />30
<br />2641:4
<br />579.5
<br />30
<br />3078.7
<br />774.7
<br />30
<br />3545.6
<br />1014.4•
<br />40
<br />2651.5
<br />583.8
<br />40
<br />3089.4
<br />779.8
<br />1
<br />40
<br />3557.2
<br />2010.8
<br />.
<br />50
<br />2661.6
<br />588.0
<br />50
<br />3100,2
<br />784.9
<br />50
<br />3568.7
<br />1020.5
<br />Correetions to be Added (T = Tangent.' E = External.)
<br />Int.
<br />Qurva 5° 100 15°
<br />20° 25'
<br />30' 35
<br />40°
<br />45° 50°
<br />55° 60°
<br />65' 700
<br />Aegle
<br />T=.13. :26 .40
<br />'.53 .67
<br />:80 •93
<br />:1061.20,
<br />1.34
<br />1.49 1.64
<br />1.79 1.94
<br />40°
<br />F 046 '.070
<br />'710'
<br />3591:9
<br />-203
<br />.234 :265
<br />.277 y90
<br />.315 .341
<br />10'
<br />=.023
<br />T=.15 30 .44
<br />.093 .117
<br />:60 :76
<br />.141 .172
<br />.91 LOG
<br />1:21
<br />1.37 1.52
<br />1.70 1.87
<br />2.04 2.445
<br />45 •!
<br />l;=•030 -060_ .093
<br />.110 .153
<br />.184 .216
<br />254
<br />.2S9 .325
<br />.351 .378
<br />.411
<br />r4124.8.
<br />T=.17 .34 51
<br />.GS :S5
<br />1.02 1:19
<br />1.36
<br />1.54 1,72
<br />191 2.10
<br />2.20 2.48
<br />5U'
<br />E =.037 .075 :116
<br />.151 .189
<br />.227 .256
<br />.305
<br />.345 .384
<br />.425 467
<br />-.508-A-1
<br />1057.7
<br />T =19 .38 .57
<br />.76 .95
<br />1.14 1.32
<br />1.52
<br />1.72 1.92
<br />2.14 2.35
<br />2.56 2.77
<br />'3650.2
<br />R-.040 •093 .142
<br />.188 .236
<br />293 .332
<br />3.81
<br />.420 .470
<br />.530 .582
<br />•641 .707
<br />2.53 3.671
<br />.10
<br />T=.21 .42 fi3
<br />.84 1.05
<br />1.27 1.49
<br />1.71
<br />1.94 2.17.
<br />2.38 2.60
<br />4737.2
<br />600
<br />E =.056 112 .168
<br />.225 .253
<br />.340 .398
<br />.457
<br />.516 875
<br />.636 .697
<br />•774
<br />3.13 339
<br />4751.2
<br />T=.23 .46 69
<br />93 1.16
<br />1:40 1:64
<br />1:88
<br />2.13 2.3S
<br />2.53 2.68
<br />1.01
<br />65°
<br />E=,067 .135 204
<br />273 343
<br />:412 .483
<br />.554
<br />.625 .697
<br />.711 .845
<br />.922
<br />TABLE -L - Tangents •and Externals: to a 1°;Carve.
<br />Chord =100 ft:
<br />Int'
<br />'Angle
<br />Tan ent
<br />�
<br />Extenial
<br />r Int.
<br />Angle:
<br />Tangent
<br />g
<br />,External
<br />Int.
<br />Angle
<br />Tangent
<br />g
<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 />'710'
<br />3591:9
<br />1032:8
<br />'10'.
<br />1 4099.5
<br />1315:6
<br />10'
<br />1651.7
<br />'.'20 '
<br />'3603.5
<br />1039.0
<br />20."
<br />4112.1
<br />1322.9
<br />20
<br />,4653.0
<br />1600.5
<br />-30'
<br />.3615.1
<br />1046.2
<br />30
<br />r4124.8.
<br />1330,3
<br />30
<br />_4667.4
<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 />4095.2
<br />1678,1
<br />80.
<br />3038.5
<br />1057.7
<br />60 1,
<br />4150.1
<br />1345.11
<br />50
<br />4709.2-
<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 />.10
<br />3661.9
<br />1070.2
<br />30
<br />4175.6
<br />1360.1'
<br />10.
<br />4737.2
<br />1704.7
<br />20
<br />3673.7
<br />1076.6
<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 />80
<br />4807.7
<br />1749.9
<br />10'
<br />3732.7
<br />1108.6
<br />10
<br />4252.6
<br />1405.7
<br />10
<br />4822.0
<br />1759.0
<br />'20
<br />3744.6
<br />1115.1
<br />'20
<br />4265.6
<br />'1412.5
<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 />'3768:5
<br />1128.2
<br />40
<br />.4291.5
<br />1429.0
<br />40
<br />4864.8
<br />1786.7
<br />r .• 50
<br />3780.4
<br />1134.8
<br />•50
<br />4304.6
<br />143G.8
<br />50
<br />4879.2
<br />1796.0
<br />67•.•
<br />3792.4
<br />1141.4:.
<br />'74
<br />4317.6
<br />1.144.6
<br />81 -
<br />4893.6
<br />1805.3
<br />10 "
<br />3804.4
<br />1148,0'
<br />a ;-M-
<br />4330.7
<br />1-162.5
<br />- 10
<br />4908.0
<br />1814,7
<br />.20
<br />3816,4
<br />1154,7
<br />7.;''201:
<br />:4343.8.
<br />1460.4
<br />20':
<br />4922.5
<br />1824.1
<br />" '30'
<br />3828.4
<br />1161.3
<br />'30
<br />4356.9-
<br />1468.4
<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 />'18-43.1
<br />50
<br />3852.0
<br />1174.8
<br />'50
<br />4383.3'
<br />1184.4
<br />a
<br />b0
<br />4966,1
<br />1852.6
<br />68
<br />3S64.7
<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 />I 10 ''
<br />4409.8
<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 />.4A
<br />4449.7
<br />1524.9
<br />_ 40
<br />5039.5
<br />1900.9
<br />•'50
<br />3925.6'
<br />1215.8
<br />;'504463.1
<br />.1533.1
<br />50•
<br />5054.3
<br />1910.7
<br />1.
<br />,
<br />69
<br />3937.0
<br />1222.;7 -
<br />(76 _ ....
<br />'4476.5
<br />' 1541.4
<br />P 83
<br />5060.2
<br />1920.5;
<br />".10
<br />3950.2
<br />1229:7
<br />x•10 '
<br />4489:9-
<br />1549.W'
<br />:. '10
<br />5084.0
<br />1930.4
<br />t•.20
<br />3962.5
<br />1236.7
<br />a 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 />5113.0
<br />'1950.3
<br />--40
<br />3987,2
<br />1250.8
<br />40
<br />4530.4
<br />1574.7
<br />-:40
<br />5128.9
<br />1960.2
<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 />76..
<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 />1000.1
<br />•10
<br />5174.1
<br />1990.5
<br />,20
<br />4036.8
<br />1279.3
<br />20
<br />4584,5
<br />2UOS. 6
<br />- 20
<br />5189.3
<br />2000.0
<br />"'•30
<br />4049.3.
<br />1286.5
<br />30
<br />4598.5
<br />1917.1
<br />30
<br />5204.4
<br />2010.8
<br />40'
<br />4061.8
<br />1293.6
<br />40
<br />4612.2
<br />x925,7
<br />40
<br />5219.7
<br />2021.1
<br />50
<br />4074.4.
<br />1300.9
<br />50
<br />4G2G.0
<br />1634.4
<br />50
<br />5234.9
<br />.2931.4
<br />Corrections to be Added (T=Tangent, E=ExternaI.)
<br />Curve 5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />•45°
<br />50°
<br />53°
<br />1 60° 1
<br />65° 70°
<br />Angle_
<br />-
<br />60° .
<br />T=.21
<br />.42
<br />.53
<br />.84
<br />1.05
<br />1,27
<br />1.40
<br />1.71
<br />11.94
<br />2.17
<br />2.38
<br />2,60
<br />2,83 3.07
<br />E=.058
<br />.112
<br />.168
<br />.225
<br />.233
<br />.340
<br />.398
<br />.457
<br />.516
<br />.575
<br />.636
<br />.697
<br />,774 ,851
<br />65'T-
<br />" 23
<br />.46
<br />.69
<br />' .03
<br />1.15
<br />0
<br />1.412
<br />1.64
<br />1
<br />2 .13
<br />2 .39
<br />2
<br />2 4
<br />3 3AD
<br />...13
<br />•E =.067
<br />..135
<br />•.201
<br />.273
<br />.3 3
<br />83
<br />.55 4
<br />.625
<br />.697
<br />.6
<br />711
<br />.85
<br />.922 Lot
<br />76°,
<br />1.321 0-2
<br />1.403
<br />1 -54
<br />1.568
<br />2.602
<br />x.735
<br />2.8019
<br />2 .88
<br />3.994
<br />E=.080
<br />.159.:240
<br />485
<br />906
<br />1.08 1.17
<br />75°
<br />T=.27
<br />.56.83
<br />1.12
<br />1.40
<br />1.69
<br />1.98
<br />2.27
<br />2.57
<br />2.87
<br />3.15
<br />3.47
<br />3.78 COD
<br />F,=.095
<br />.182
<br />,286
<br />,383
<br />.480
<br />:5 8
<br />.678
<br />.777
<br />.677
<br />.977
<br />1.07
<br />1.18
<br />1,29 1,30
<br />so.
<br />T =.30
<br />.61
<br />.91
<br />122
<br />-11533TI-ITI
<br />2.15
<br />2.46
<br />2.78
<br />3.10
<br />3.44
<br />3:78
<br />4.12 4,40
<br />E=.110
<br />.220
<br />,332
<br />,445
<br />.558
<br />.671
<br />.781
<br />.903
<br />1.02
<br />1.13
<br />1.25
<br />1.38
<br />1.50 1.62
<br />Sp
<br />T =.33
<br />66
<br />1.00
<br />1.33
<br />1.66
<br />2.02
<br />2.36
<br />2.70
<br />3.05
<br />3.40
<br />3.77
<br />4.14
<br />4.55 4.80
<br />E=,128'.
<br />159 -391
<br />.524
<br />.657
<br />.790
<br />•.926
<br />1.06
<br />'120
<br />1.34
<br />147
<br />1.62
<br />1.70 1.91
<br />
|