|
P_
<br />V TAsla:_I. - Tangents and Externals to a-1°.Curve.
<br />Chord.=100 ft:
<br />Int ....
<br />Angle
<br />-Tangent
<br />External"
<br />Int.
<br />" .Angle..
<br />.Tangent External.
<br />Angle
<br />-Tangent
<br />External
<br />43°'.
<br />'2257.0
<br />428:5
<br />50°, -
<br />2071,8'.
<br />592.3
<br />57°,
<br />'3110.9
<br />790:1-
<br />101
<br />: ,2266.6
<br />'432.0,
<br />; . 101
<br />2681.9 "
<br />'596.6'
<br />. -10'
<br />3121.7
<br />'. 795.2
<br />0.1 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 />A59.2 ,
<br />.30.
<br />2702:3
<br />605.3
<br />30
<br />'3143.'4
<br />805.6
<br />;_40
<br />2295.6
<br />1442.8 1
<br />'._40-
<br />2712:5'
<br />609.6 il
<br />40
<br />3154:2
<br />810.9
<br />L., 50
<br />2305:2
<br />446.4
<br />.50i
<br />'2722.7
<br />614.0;
<br />50
<br />"3165,1;
<br />.SIG.1
<br />:447:
<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 />622.8
<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 />.E 30
<br />2344.1
<br />:461.0
<br />',•.30.
<br />2763:7
<br />631.7
<br />30.
<br />3208.8
<br />837.3
<br />Y40
<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 />: ; 50-1
<br />2784.2
<br />.
<br />640.7
<br />50:.
<br />t
<br />3230.7
<br />848.1
<br />1740.8
<br />2373.3
<br />472.1 (
<br />52-
<br />2704.5
<br />645.2
<br />'59""
<br />3241.7
<br />853.5
<br />10 '"2383.1
<br />10
<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 />654.3
<br />20..
<br />3263.7
<br />864.3
<br />s'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 />x'40
<br />2335.9
<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 />668.0 .
<br />:.50'
<br />3296.9,
<br />.880.8
<br />A6:":
<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 />408.7
<br />10
<br />2567:1
<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 />i .30
<br />2461:7
<br />506.4.
<br />:.,30
<br />2888.0
<br />686.7 i
<br />:''.30
<br />3341.4-
<br />.4922.5
<br />40
<br />2471:5
<br />510.3
<br />1,40
<br />2898.4'
<br />691.4 '
<br />40''
<br />3352.6`
<br />.903.2
<br />-908.8
<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 />'47..
<br />2401.3
<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 s
<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 />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...933.1
<br />'5024:8
<br />b0
<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 />729:9;`
<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 />+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 />x: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 />3488.3'
<br />978.3
<br />1950.3
<br />2601.1
<br />562.8 ;
<br />s
<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 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 />1•.
<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 r
<br />30
<br />3078.7,'
<br />774.7
<br />.30;
<br />3545.6
<br />1008.3
<br />x:.1'.40
<br />2651.5
<br />553.8
<br />40
<br />3089.4 '
<br />779.8 7
<br />.40-
<br />3557.2
<br />1014.4
<br />;D.:,b0
<br />266116
<br />588.0:
<br />150
<br />3100.2
<br />784.0
<br />50-,
<br />,
<br />3568.7,
<br />1020.5
<br />Corrections t;"•be--Added (T=Tangent. = E=Exterlial.j=
<br />Int. Csude 5° 10°` 15°: 20° 25°' 30° 35°' -40° 45° '50°: 1 55° 60°" '65° '70°
<br />Angle
<br />40° t • "'T 13 .26'. .40' '..53 '.67 80 ,93 `.106 1.20• 1.34• 1.49 1.64 1.79 1.94
<br />--E =.023-. ,046 ,070 .093 .117 ':141 ,172 '.203 .234 .205 .277 290 •.315 .341
<br />45° -T=.15 ..30:.60. .76 '-:91 3,06' 1.21 1:37 1.52 1:70 1.87- 104 2.21
<br />,44
<br />E =.030 .060 :093 .119 •.153 .184 ,216 .254 ':289 '.325 .351 .378 ,411 .445
<br />.Soo,T=:17 ".34 ,51 .68 -.85' 1.02 1.19 1.36' 1.54 1.72 1.91 2.10 2.29 2.48
<br />;E=.037'" `.075 ,116 .151 .189 .227 .266 305 .345 .384 .425 .467_ .508 .5.,0
<br />55° T=:19 .38 ,57 ':76 .95 1.14 1.32 1.52 1.72 1-92 2,14 2.35 2.56 2.77
<br />E =.046_ ,093 ,112 ".188 '.236 .283 .332 3.81 .420_ .479 ,530 .582 .641 .700
<br />60° T=:21 42 , ,.63. .84' 1.05 1.27 1.49 1.71 1.94 2.17 2.38 2.00 2.83 3:01
<br />E=.056 112 ,168 ,225 .283 .340 :398 .457 .518 .575 ,636 :097 '.774 .851
<br />l -o T=.23 .46. ,69 .93 1:16 1.40 1.64 1.88 2.13 2.38 2,631 2.88 3.13 3.39
<br />E =.067 .135 ,204 .273 .343 .412 ,483 .554 .625 .697 ,711 .845 .922 1.01
<br />TABLE L:-- Tangents and Externals to a-1°: Gurge,� .V
<br />Chord=100 ft::
<br />Int.
<br />Angle
<br />Tangent
<br />E xternal
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />- Angle
<br />Tangent
<br />Extemah
<br />64°
<br />3580.3
<br />1026.6
<br />.71°..
<br />40S6.9-
<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 />j .10'
<br />4653:6
<br />1051.7
<br />20
<br />3603.5
<br />1039:0
<br />20;4112.1
<br />T=..21
<br />1322.9
<br />20
<br />4667.4
<br />1660.5
<br />30
<br />1,49
<br />1045.2
<br />30
<br />4124.8
<br />1330.3
<br />30
<br />4681.3
<br />1660.2
<br />40
<br />_3615.1
<br />3626.8
<br />1051.4
<br />40.
<br />'4137.4
<br />1337.7 :
<br />40 ,.4695.2
<br />.398
<br />1678.1
<br />50
<br />.3038.5
<br />1057_.7
<br />'•50;
<br />4150;1
<br />1345.1
<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 />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 />4183.5
<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 />'W'
<br />4807.7
<br />1749.9
<br />10
<br />3732.7
<br />1108.6
<br />..
<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 />1.22
<br />;3756.5
<br />1121.7 ;
<br />-- 30.
<br />4278.5
<br />1421.2
<br />30
<br />4850.5
<br />1777.4
<br />.30
<br />40
<br />37G8.5
<br />1128.2 :
<br />40
<br />4291.5
<br />1429.0
<br />40
<br />4864.8
<br />1786.7
<br />b0
<br />3780..4
<br />1134.8
<br />50.
<br />4304.G
<br />1436.8
<br />. 50
<br />4879,2
<br />1796.0
<br />T=.33
<br />.66 1
<br />1.00
<br />11.33
<br />1.68
<br />-
<br />i
<br />2.70
<br />3.05'
<br />ST,
<br />3792:4
<br />1141.4
<br />•74'•'
<br />4317.6.
<br />1444.6
<br />81x..
<br />4893.6,
<br />1805.3
<br />10
<br />3804:4
<br />1148.0'
<br />10
<br />4330.7
<br />1452.5 ;
<br />10 '
<br />4905.0
<br />1814.7
<br />20
<br />38IG,4
<br />1254.7.
<br />20
<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 i
<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 />.3364;7
<br />1181:6k
<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 />104995.;4
<br />.
<br />1871:8
<br />20
<br />3889.0
<br />1195.2'
<br />20
<br />4123:1
<br />1508.6
<br />20
<br />5010.0
<br />1881.5
<br />30
<br />.3901.2
<br />1202.0:
<br />30
<br />.4136.4
<br />1516.7,
<br />30
<br />'5024:8
<br />1891.2
<br />•40
<br />3913.4
<br />1208.9'• 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 />:+5069:21
<br />1920_.5
<br />10
<br />3950.2'
<br />1229.7,
<br />• i_'10 '•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 />15099.0:
<br />1940.3
<br />: 30 j
<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 />.4530.4
<br />1574.7'
<br />40
<br />'5128.9
<br />1960.2
<br />50
<br />3999.5,
<br />1257.9¢
<br />:-50,
<br />4514..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 />1591:6'
<br />84
<br />.5159.0
<br />1980.4
<br />10 '
<br />4021.4-
<br />1272.1'
<br />4571..2
<br />1600.1
<br />10 '
<br />5174.1
<br />1990:5
<br />20 .'•4036.8'
<br />1279.3:
<br />•10,
<br />20`:4584.8
<br />1608.6
<br />20
<br />'5189.3'
<br />•2000.6
<br />-30
<br />404913
<br />1286. 5,
<br />30
<br />4 598 .5
<br />1617.1-
<br />30 '
<br />'5204.4:
<br />2010.8
<br />40 .
<br />;4061.8'
<br />1293.6
<br />40
<br />1 4012.2
<br />1625.7:1,
<br />40
<br />,'5219.7'
<br />-2021.1
<br />;50
<br />4074.4'
<br />1300.9
<br />,50
<br />4626.0
<br />1 1634.4.
<br />50 ,,,5234.9
<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 />.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 />307
<br />60°
<br />E=,056
<br />.42
<br />.112
<br />.168
<br />.225_
<br />:93
<br />.283
<br />1.16.
<br />,340
<br />1.40
<br />.398
<br />.457
<br />.516
<br />.575
<br />,636
<br />'.697
<br />,774
<br />„851
<br />T=.23 ..46 .69
<br />1.64
<br />1.88 2.13 2.38
<br />2.63 2:88, 3.13
<br />3.39
<br />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 />T=.25
<br />.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
<br />3.16
<br />3.44
<br />3.72
<br />70'
<br />E =.080
<br />.51
<br />.159
<br />.240
<br />.321
<br />.403.:485
<br />:,568
<br />.652
<br />.735
<br />..819
<br />.906
<br />..994
<br />1.08
<br />1:17
<br />T=.27
<br />56,
<br />.83
<br />1.12
<br />1:40.
<br />1.69'
<br />2.57
<br />2.87:
<br />3.16
<br />3.47:
<br />3.78
<br />4.09
<br />75, „
<br />;
<br />.'4E=.095
<br />182
<br />.288
<br />.383
<br />..480
<br />:578
<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 />+2.2-46
<br />2.78
<br />3:10
<br />3.44
<br />3.78
<br />4.12
<br />4.48
<br />E=.110
<br />.220
<br />.332
<br />.445
<br />..558
<br />.671
<br />1.02
<br />1.13
<br />1.25:
<br />1.38
<br />1.50
<br />1.62
<br />85o
<br />T=.33
<br />.66 1
<br />1.00
<br />11.33
<br />1.68
<br />2.02'12.36
<br />2.70
<br />3.05'
<br />3.40
<br />3.77
<br />11.47'
<br />4.14:
<br />4.55
<br />4.89
<br />E =.128
<br />.259
<br />,.391
<br />.524
<br />.657
<br />.790
<br />.920
<br />1.06
<br />1.20'
<br />1.34
<br />1.62
<br />,1:76
<br />1.91
<br />
|