|
IV: TABLET: _ Tangents-arld -Externals to -a 1:° Curve.
<br />Ch6rd=100 ft.
<br />Int._
<br />Angle
<br />Tangent
<br />ern
<br />Extal
<br />Int..,
<br />:rgle
<br />Tangent Eaternal'
<br />Iat
<br />.Angle
<br />Tangent
<br />External
<br />'43°
<br />'2257.0
<br />428.,5
<br />500'
<br />2G71.8
<br />592.3.
<br />-57'
<br />3110.9
<br />790.1
<br />10';
<br />2266.6
<br />432.0
<br />.101
<br />2681.9
<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 />-40
<br />2285.9
<br />439.2:
<br />30•
<br />2702.3
<br />605.3.
<br />" ..30
<br />3143.4,
<br />805.6
<br />.341
<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 />G14.0
<br />50
<br />:3165:1;
<br />.516.1
<br />.060
<br />2314.9
<br />450:0:
<br />51,'
<br />2732..9
<br />618.4
<br />58
<br />3176.0
<br />821.4
<br />1...10
<br />2324.6
<br />453.6
<br />10.
<br />2743.1'
<br />622.8
<br />10
<br />3186:9
<br />826.7
<br />i20
<br />2334.3
<br />457.3
<br />20.
<br />2753.4
<br />627.2
<br />20
<br />2.10
<br />532.0
<br />30
<br />2344.4
<br />461.0
<br />3V
<br />2763:7
<br />631.7
<br />.30
<br />.3197.8'
<br />3208.8
<br />537.3
<br />i":40
<br />2353 8'
<br />464.6 ;
<br />'__.40.
<br />2773.9
<br />636.2
<br />40
<br />3219.7
<br />842.7
<br />i -.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"`T '
<br />2373:3
<br />472:1 !
<br />52.
<br />2794.5
<br />645;2
<br />59 _
<br />3241'.7
<br />853:5
<br />X10
<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 />2315.2
<br />654.3 '
<br />20
<br />3263.7
<br />804.3
<br />30
<br />2402.6
<br />483.4
<br />.i30
<br />2825.6
<br />658.8
<br />30:
<br />3274.8
<br />869.8
<br />..-.40
<br />'2412.'4
<br />487.2
<br />40
<br />2335.9
<br />663.4
<br />40
<br />3285.8
<br />575.3
<br />50
<br />2422.3
<br />491.0
<br />50
<br />2346.3
<br />668.0
<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 />3308.0
<br />886:4
<br />10
<br />2441.9
<br />493.7
<br />10
<br />2367.1
<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 />246117
<br />506.4 '
<br />-30
<br />2838.0
<br />686.7 '
<br />30
<br />3341.4,
<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 />=:50
<br />i
<br />2481:.4
<br />514.3
<br />50
<br />2908.9
<br />696.1
<br />50.
<br />3363.8-
<br />_
<br />.914.5
<br />47." !
<br />2401'.3
<br />518.2 ,
<br />54
<br />2919.4
<br />700.9
<br />61,'t - i
<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 />3386.3
<br />925.9
<br />i'20
<br />2511:2
<br />526.1 '
<br />20
<br />2940..4
<br />710.5
<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 i
<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 />AS- " i
<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 />2561.0
<br />546.3 .
<br />10;
<br />2993.3
<br />734.8 ,
<br />10'.
<br />3454.11
<br />50S4'.0
<br />_-20
<br />2571.0
<br />550.4
<br />20
<br />3003.9
<br />739.7
<br />20'
<br />3465.4
<br />.960.6
<br />966,5
<br />L,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 />553.6 .
<br />40
<br />3025:2
<br />749,6
<br />.40'
<br />3488.3
<br />.978.3
<br />:*50
<br />2601,1
<br />562.8:
<br />... 50
<br />3035.8
<br />754.6
<br />50r
<br />3499.7
<br />984.3
<br />AS ;'-.
<br />2611.2
<br />566:9
<br />56
<br />3046.5
<br />759,6 1,
<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 />3522.6
<br />996.2
<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 />c. 30
<br />2641.4
<br />579.5
<br />30
<br />3078.7
<br />774.7
<br />„
<br />3545.6
<br />1008.3
<br />'40
<br />2651.5
<br />5S3.8
<br />40
<br />3089.4
<br />779.8
<br />.30
<br />40
<br />3557.2
<br />1014.4
<br />L, .50
<br />2601:6,
<br />538.0 :
<br />50
<br />3100.2
<br />784.9
<br />50
<br />3568.7
<br />1020,5
<br />Corrections`to.be-Added (T=Tangent. ''E=External:):
<br />Angle
<br />'Cu,rve 5°'
<br />-10°'
<br />I5°
<br />ZO',
<br />25°'
<br />"30°
<br />''35°'
<br />"40°•
<br />45°
<br />50°
<br />55°
<br />' 60°
<br />65°
<br />70°
<br />40°'
<br />T,='.13
<br />26 .
<br />,.40
<br />-.53+
<br />:67
<br />-.80
<br />.93
<br />.106
<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 />.203
<br />.234
<br />-.265
<br />-'.277
<br />290
<br />.315
<br />.341
<br />45''
<br />".T=:15
<br />.30
<br />AC
<br />.60,
<br />'.76
<br />•.91
<br />1.06
<br />1.21
<br />1.37
<br />L52.
<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 />.184
<br />.216
<br />.254
<br />.289
<br />:325
<br />.351
<br />.378
<br />.411
<br />.445
<br />50° ,,
<br />T=17
<br />.34
<br />.51
<br />-.68
<br />' .85
<br />1:02
<br />1.19
<br />1.36
<br />1.54
<br />1.72
<br />1.91
<br />2.10
<br />2.29
<br />2.48
<br />30
<br />E=.037
<br />.075
<br />.116
<br />.151
<br />.189
<br />-.227
<br />.266
<br />.305
<br />.345
<br />.384
<br />.425
<br />.467.508
<br />4214.0
<br />..550
<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 />2.35-
<br />2:56
<br />2.77
<br />73'
<br />=E =.046
<br />.093
<br />.142
<br />.188_
<br />.236
<br />.283
<br />'.332
<br />3.81
<br />.420
<br />.479
<br />.530
<br />.582
<br />.611
<br />.700
<br />60°
<br />T=:21
<br />.42
<br />.63'.
<br />.84
<br />1.05
<br />1.27
<br />1.49-
<br />1.7I
<br />1.94
<br />2.17
<br />2.38
<br />2.60
<br />2.83
<br />3.07
<br />30
<br />E-.056
<br />T=.23
<br />.112
<br />.46 1
<br />.168
<br />.69
<br />.225
<br />:93
<br />.283
<br />1.16
<br />.340
<br />1.40
<br />-.398
<br />1•.64
<br />.457
<br />1.88
<br />:516
<br />2.13
<br />.575
<br />2.38
<br />.636
<br />2.63
<br />:697
<br />2.88
<br />.774
<br />3.13
<br />.851
<br />13.39
<br />:.65°
<br />-
<br />E=.067
<br />.135
<br />.204
<br />.273
<br />.343
<br />.412
<br />.483
<br />.554
<br />.625
<br />.697
<br />.711
<br />.845
<br />.922
<br />1.01
<br />I
<br />TABLE I.'- Tangents and Externals to •a 1°_ Curve.
<br />Chord =100 f t.: .
<br />V
<br />Ing
<br />Anglele '.
<br />Tangent
<br />Extemal
<br />_
<br />Int.
<br />Angle
<br />Tangent
<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 />10'
<br />3591.9
<br />1032.8
<br />10'
<br />4099.5
<br />1315.0
<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 />4667.4
<br />1060.5
<br />30
<br />3615.1
<br />1045.2
<br />30
<br />4124.8
<br />1330.3
<br />30
<br />.4681.3
<br />1060.2
<br />40
<br />3626:8
<br />1051.4
<br />40,
<br />4137.4
<br />1337.7 '
<br />40
<br />4695.2
<br />1078.1
<br />50
<br />3638:5
<br />1057;7
<br />50,
<br />4150.1
<br />2345:1
<br />_ 50
<br />4709.2
<br />1686.9
<br />65
<br />'3650.2
<br />1063.9
<br />.72
<br />4162.8
<br />1352.G
<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 />1076.6
<br />20:
<br />4189.5
<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 />4507.7
<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 />1413.5 :
<br />20
<br />4836.2
<br />1768.2
<br />30
<br />3756.5
<br />1121.7 !
<br />30.
<br />4278.5
<br />1421.2 1
<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 />46
<br />4864.8
<br />1786.7
<br />50
<br />3780:4
<br />1134.8 `
<br />.:50,
<br />4304:6
<br />1436;8
<br />50,
<br />4370.2
<br />1796.0
<br />67.
<br />3792.4
<br />1141.'4
<br />14;'-"
<br />4317.6.
<br />k
<br />1444.6
<br />'814893:6
<br />85;
<br />1805.3
<br />10
<br />3804:4
<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 />.1924.1
<br />30
<br />3823:4
<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 />1843.1
<br />50
<br />3952:6
<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 />1181.6
<br />I
<br />:75
<br />4396.5
<br />1492;4
<br />82
<br />4980.7'
<br />1862.2
<br />10
<br />'3376:8
<br />1188.4
<br />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 />'40
<br />5024:8'
<br />1891,2
<br />40 -
<br />3913.4
<br />1208.9!
<br />40
<br />•4449.7
<br />1524.0
<br />•
<br />•5039.5
<br />1900.9
<br />50 '
<br />3925.6'
<br />1215.8:
<br />50, ',4463.1
<br />+1533.1
<br />50
<br />5054:3.
<br />•1910.7
<br />69
<br />3937.0
<br />1222,7
<br />,76, - ;'4476.5
<br />1541:4
<br />83,
<br />5069.2',
<br />1920.5
<br />x.10
<br />.3950.2
<br />1229.7'
<br />.10
<br />-4189.9
<br />1549.7
<br />10
<br />50S4'.0
<br />3930.4
<br />20
<br />•3962.5
<br />1236.7;
<br />'20
<br />.4503.4
<br />1558.01
<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 />3937.2•
<br />1250.8
<br />40 l
<br />4530.4
<br />1574.7
<br />40
<br />5128:9'
<br />1960.2
<br />50
<br />3999.5,
<br />1257.9
<br />50 1
<br />24514.0
<br />1583.1.
<br />. . -50 .
<br />.5143.9
<br />1970.3
<br />70
<br />4011.9
<br />1265.0
<br />.77
<br />4557.6
<br />1591.0:
<br />,$4•
<br />5159.0
<br />1980.4
<br />u 10
<br />4024.4
<br />1272.1:
<br />p . 10
<br />' 4571.2
<br />1600.1`
<br />10
<br />15174.1
<br />1990.5
<br />20 ;
<br />4030.8
<br />1279.3.'
<br />• ., 20.'
<br />4584 r8
<br />1608.6'
<br />20
<br />`5189.3
<br />2000.6
<br />30
<br />30
<br />'4019.3
<br />.1286.5
<br />30
<br />4598.5
<br />1617.1]
<br />=: 30
<br />+.5204.4
<br />2010.8
<br />40
<br />4051:8,
<br />.1293.6
<br />40
<br />-4612:2
<br />1025.7:
<br />;, 40 .
<br />5219.7•
<br />2021.1
<br />.
<br />50
<br />. 4074.4:
<br />1300.9.
<br />50
<br />4626.0
<br />1034.4;
<br />:x.50 '
<br />5234.9i
<br />2031.4
<br />Corrections to be Added (T -Tangent. E=External.)
<br />Int.
<br />Curve 5°
<br />10°
<br />15°
<br />20'
<br />25°
<br />30°
<br />35°
<br />40°
<br />45
<br />50°
<br />55°-
<br />60°
<br />65°
<br />70°
<br />Angle-
<br />....-.
<br />_
<br />T=.21
<br />r.42 ::.63
<br />.84
<br />1.05
<br />1 27
<br />1.49
<br />1.71
<br />2.17
<br />2.38
<br />2.60
<br />2.83
<br />3.07
<br />80°
<br />E=.056
<br />.112
<br />.168
<br />.225
<br />.283
<br />.340
<br />.398
<br />.457
<br />_1.94
<br />.518
<br />.575
<br />.636
<br />.697
<br />.774
<br />;851
<br />1.40
<br />1.64
<br />1:83
<br />2.13
<br />2.38
<br />2.63
<br />2.88 '3.13
<br />3.39
<br />:T=:23 46
<br />:69
<br />.93
<br />1.16
<br />1.65°
<br />E =.067
<br />.135
<br />.204
<br />.273
<br />.343
<br />.412
<br />..483
<br />.554
<br />.625
<br />-.697
<br />.711
<br />.845
<br />.922
<br />1.01
<br />"
<br />T=.25.
<br />.76
<br />1.02
<br />1.28
<br />1.54
<br />1.80
<br />2.06
<br />2.33
<br />1%
<br />2.88
<br />3.16 .3.44
<br />3.72
<br />70°
<br />E=.080
<br />.51
<br />.159
<br />.240
<br />.321
<br />.403
<br />.485
<br />..568
<br />.652
<br />.735
<br />.819
<br />.908
<br />.994
<br />1.08.
<br />1:17
<br />750
<br />T= 27"
<br />.56 '
<br />.83
<br />1.12'
<br />1.40
<br />1.69
<br />1.98
<br />2.27
<br />2.57
<br />2:87
<br />3.16
<br />3.47
<br />3.78,
<br />4.09
<br />E=.095'
<br />.182
<br />.286
<br />.383
<br />.480
<br />.578
<br />.678
<br />.777
<br />.877
<br />.977
<br />1.07"
<br />1'.18,
<br />1.29
<br />1.39
<br />80°
<br />' T=.30
<br />.61
<br />.91
<br />1.22
<br />1.53
<br />1.84
<br />2:15
<br />2.46
<br />2.78.
<br />3.10
<br />3.44
<br />3.78
<br />4.12
<br />4.46
<br />E--.110
<br />.220
<br />.332
<br />.445
<br />.558
<br />.671
<br />.787
<br />.903
<br />1.02
<br />1.13
<br />1.25
<br />1.38
<br />1.50
<br />1.82
<br />85;
<br />T=.33
<br />66
<br />1.00
<br />1.33
<br />1.68
<br />2.02
<br />2;36
<br />2:70.
<br />3.05
<br />3.49
<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
<br />-:926
<br />1.06'
<br />1.20
<br />1.34
<br />1.47'
<br />1.62.
<br />1.76
<br />1:91
<br />Q
<br />
|