|
V TAnLE I: - Tangents and'Externals to:a 1° Curve. !
<br />Chor11=100.ft.
<br />Int.'.
<br />Aagla,
<br />Tangent
<br />Exteinal
<br />Int
<br />1. Angle
<br />Tangent External'
<br />Int,
<br />glg.
<br />Tangent
<br />External
<br />4E°:.
<br />2247.0;
<br />428:5'
<br />SO-
<br />-2G71.8:
<br />592.3`
<br />579•^ i
<br />3110:9
<br />.790.1
<br />10'
<br />;2206:6
<br />432.0
<br />MY
<br />2681.0
<br />r,
<br />,596:6;
<br />70'1
<br />;3121.71
<br />795.2
<br />20
<br />,2276.2'
<br />.435.6'
<br />20
<br />2692,A
<br />600.9:
<br />20 ',
<br />3132.6•
<br />X800.4
<br />'302265.9
<br />�°
<br />439.2
<br />'30•
<br />2702.3
<br />605.3
<br />30
<br />.3143 -4
<br />805.6
<br />40,
<br />2295:0
<br />442:8
<br />'40;
<br />. 2712.5
<br />X609.6'
<br />40
<br />3154.2°
<br />iA10.9
<br />50-
<br />r'
<br />.2305.2'
<br />446.4
<br />50'
<br />'2722.7
<br />614.0;
<br />:50 r
<br />;3165:]',
<br />816.1
<br />r
<br />2314.9
<br />450.0
<br />51 :.
<br />2732.9
<br />61$: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 />30
<br />2344.1,
<br />461:0;
<br />30
<br />2763:7
<br />631.7
<br />.
<br />30)
<br />,3208x8
<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 />2303.5
<br />468.4:
<br />50;
<br />2784.2
<br />640.7
<br />50,
<br />3230:7,
<br />,8.48.1
<br />45-:','
<br />2373:3,
<br />472.1}
<br />. 8w'-
<br />•
<br />2794:5
<br />645.2•
<br />r
<br />.59 !
<br />13241:7
<br />$53.5
<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 />470.6
<br />20
<br />2S15.2
<br />654.3,
<br />20.'
<br />,3263.7'
<br />'864:3
<br />30
<br />12402.6
<br />(483.4'•
<br />30
<br />2825.6
<br />.658.8
<br />'30
<br />8274.8
<br />,869.8
<br />40 :
<br />2412.4
<br />487.2
<br />.-40
<br />2835.9,
<br />663.4
<br />-40'.3285.8
<br />f ;40 8'4864:8
<br />875.3
<br />_50;
<br />'2422.3'
<br />?491,0:
<br />) ;50
<br />2846.3
<br />688,0;
<br />,50
<br />,3298.9"
<br />,880.8
<br />46 ` '
<br />- 2432.1 ,
<br />494.8 '
<br />53
<br />2856.7, ,
<br />1172. Z
<br />60
<br />3308.0 =
<br />886.4
<br />10
<br />'2441:9
<br />498:7 +
<br />10
<br />x+286711
<br />677,3'
<br />d0
<br />.3319.1
<br />`892.0
<br />20
<br />2451:8
<br />502.5
<br />20
<br />2877.5'
<br />682.01
<br />: r : i
<br />3330.3
<br />897`5
<br />30
<br />2461.7
<br />'506.4 .
<br />3D. ,
<br />' 2888 ?0
<br />686.7 •
<br />_20,
<br />30 -.
<br />'.'
<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 />'a90S.8
<br />50
<br />1':
<br />2484
<br />514.3 ,
<br />• :-,"'50
<br />2008:9 -
<br />' 606.1
<br />. „ 50
<br />3363:8
<br />914.5
<br />67;
<br />2491:3
<br />9182.
<br />54 •-
<br />2919:4
<br />700.9
<br />61
<br />3375.0'
<br />020.2
<br />10
<br />:25012
<br />522.2 '•
<br />10
<br />2929:9'
<br />705.7 '
<br />,;:, 10' -
<br />3386.3
<br />025.9
<br />20
<br />2511.2
<br />526.1.
<br />120'
<br />2940..4
<br />790.5 '
<br />20
<br />3397.5
<br />031.6
<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 />1534.2
<br />140
<br />2961'.5`
<br />720.1.
<br />40 .
<br />3420.1
<br />043.1
<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 />48'
<br />2551:0•
<br />542:2
<br />'55
<br />2082.7
<br />729.9-
<br />62. •
<br />.3442:7
<br />954.8
<br />I0':
<br />2561:0"
<br />546:3'!
<br />16
<br />2093.8
<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 />739.71
<br />20•
<br />3465.4
<br />;966.5
<br />30
<br />;2581:'0
<br />554.5 -'
<br />'W,
<br />3014•:5
<br />744.6 ;
<br />30,
<br />3470:8
<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 />50'
<br />,2601:1,
<br />562.8
<br />1 50
<br />3035:8
<br />754.6:
<br />` ,- 50'
<br />3499.7
<br />984:3
<br />Q960.2
<br />'50
<br />3999.6
<br />56
<br />3046:5 1
<br />759:6
<br />15°3.-1 .
<br />3511.+1
<br />990, 2
<br />^x10
<br />2621.2
<br />571.1 ,
<br />3057.2'
<br />764.6 a
<br />:,' 10
<br />3522:6
<br />;996.2
<br />X20'
<br />;2831:3:
<br />,575.3
<br />,:10
<br />x,20
<br />x',
<br />3067.9
<br />769.7"
<br />2W
<br />3534':'1
<br />-1002:3
<br />'.', . 30•'
<br />2641.4
<br />579.5.'
<br />.. 30
<br />3078.7
<br />774.7
<br />30;
<br />3545.6
<br />1008.3 '
<br />40`
<br />2851.5.
<br />:583.S
<br />.•40
<br />3089.4
<br />779.8;
<br />40
<br />,
<br />3557.2
<br />1014.4
<br />50`x':2881'.6,
<br />r-'30
<br />588-0
<br />-..50
<br />3360.2
<br />784.0,
<br />50..
<br />3568.7,
<br />1020.5
<br />Corrections -to be 'Added -(T E =External:),'
<br />Angle
<br />cams'
<br />10° IS° 20° W1130*
<br />35° 40° 45°' SO' 55° 60° .65° 70°
<br />40" '
<br />.T=.13 -
<br />:26' .40 .53' .07
<br />.80 .93 .106 1.20 1.34 1.49 1.64 1.70 IA1
<br />Extemat
<br />E=.023
<br />'.040 .070 .093 .117
<br />.I41 .172 .203 .234 .265 .277 290 '.315 .311
<br />45°
<br />T=.15 -
<br />.30 .44 .60 .76
<br />.91 1.00 1.21 1.37 1.52 1.70 1.87 2.04 2.21
<br />4639.8
<br />E=.030
<br />.060 .093 .119 .153
<br />.184 :216 :254 .289 .325 .351 .376 -.411 :445
<br />Soo
<br />T=.17
<br />.34 .51 .08 .85
<br />1:02 1.19 1.30 1.54 1.72 1.91 2.10 2.29 2.43
<br />10'
<br />-H -.037 '
<br />.075 .116 .151 .189
<br />.227 AGO .30.5 .345 .384 `.425 .467 .508 -.550
<br />°
<br />T=.19
<br />:38 .57 .76 ..95
<br />1.14 1.32 1.52 L72 1:92 2.14. 2.35 2.l 0 2.57
<br />1322.9
<br />E'=.040
<br />_T.;_
<br />.093 .142 .188 ..236
<br />.283 -.332 .3.81 .420 ..479 ;.530 '.582 641 .700
<br />�°
<br />=.21
<br />.42 .63 84 1.05
<br />1.27 1.49 1.71 1.94 2:17 2.38 2.60 2.83 3.07
<br />4124.8
<br />E=.056
<br />112 :166 :225 ,:283
<br />.340 .398 .457 .518 :575 .636 .597 .774 .851
<br />1669.2
<br />T=.23
<br />.48 :69' :93 LIS
<br />1.40 1.64 1.86 2.13 2.38 2.63 2.88 3.13 3.39-
<br />40
<br />E =.067
<br />.135 .204 .273 .343
<br />.412 .483 .554 .625 .097 .711 .845 1, .922 1.01
<br />TAHLYI•L'r Tangents and Externals to a.-1° Curve.
<br />Chord -100 ft:'
<br />Angle,'
<br />Tangent
<br />. External
<br />, "At* Rle ,
<br />an
<br />Tgent
<br />External
<br />Angle
<br />Tangent
<br />Extemat
<br />84
<br />3380.3.
<br />1026:6
<br />',71°
<br />40S6.9
<br />'1308. 2
<br />78° -
<br />4639.8
<br />IG43.0-
<br />r,, 10'''
<br />13591.9
<br />1032.8
<br />1 , 10'
<br />4099.6
<br />1315.0
<br />10'
<br />4653.6
<br />1651.7
<br />",20
<br />43603.5
<br />1039.0
<br />20
<br />4112.1
<br />1322.9
<br />- -20..
<br />4667:4
<br />1660.5
<br />30
<br />3615:1•
<br />1046.2
<br />,. 30
<br />4124.8
<br />1330.3
<br />30
<br />4681.3
<br />1669.2
<br />40
<br />13626:8
<br />1051.4
<br />40
<br />4137.4
<br />1337.7
<br />40
<br />'4695.2
<br />1678:1
<br />`50
<br />3638;5
<br />1057:7
<br />0;
<br />4150.1
<br />1345.1
<br />1 50
<br />4709.2
<br />1686.9
<br />65'
<br />3650121:9
<br />.1063:9
<br />72
<br />4162:8
<br />1352:6
<br />79 . -
<br />4723:2
<br />1695.8-
<br />-10'
<br />.
<br />'366
<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 />•'4188:5:
<br />1367.6
<br />1 _20"';.4751.2
<br />2.38 2.70
<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 />1382.8r,„10
<br />'4779:4
<br />.1731 .7
<br />50
<br />3709.0
<br />.1095.7
<br />50-
<br />4226.8
<br />13`00.4;
<br />:50.
<br />4793.6
<br />174D.8
<br />e$'
<br />3720.9
<br />.1102.2
<br />73-';
<br />4239.7
<br />1398:0
<br />'•80•
<br />4807.7-
<br />1749:9
<br />..:'.70
<br />3782.7
<br />1108.6
<br />J 10-,
<br />,4252:6
<br />1405.7
<br />! �i_10' ;
<br />'4822:0
<br />1759.0
<br />'.20
<br />3744:6
<br />1115.1
<br />-
<br />20
<br />'426.516
<br />1413.5
<br />• ^x20
<br />':4836:2
<br />'1768:2
<br />80
<br />3756.5
<br />1121.7
<br />X4278.5
<br />1421.2'
<br />•.30.;'4850.5
<br />1777.4
<br />_40
<br />'3768.5
<br />1128.2,
<br />,.30y
<br />40,
<br />4291:5-•
<br />1429.0
<br />f ;40 8'4864:8
<br />'1786.7.
<br />,..60 '.3780.4
<br />1134:8
<br />- v50,
<br />4304.6
<br />1936:8'
<br />,,,x•50-'
<br />4879.2
<br />,1796:0
<br />,67'
<br />.3792:4
<br />,74'. ,-
<br />,4317:$
<br />1444:4
<br />1;81`.""
<br />4893:6
<br />1805.3.
<br />10
<br />3504:4,
<br />_1141:4
<br />1148 0
<br />�; •10
<br />4330.7
<br />1452.5
<br />10 1
<br />4908.0
<br />1814.7
<br />20.
<br />3316:4
<br />-1154.7
<br />;20
<br />4343[8'
<br />1960.4
<br />ii 20
<br />'4922:5
<br />1824.1
<br />30
<br />3828:4'
<br />1161.3
<br />' .30;,
<br />4350.9
<br />'
<br />1468.4.'
<br />; ;. t: $0, ,
<br />; 4937:0
<br />1833.6
<br />' 40
<br />3840:5
<br />1168.1.
<br />: 40-
<br />4370;(1
<br />1476.4 ;
<br />t r 90 '
<br />:4951. b
<br />1843.1
<br />50 '
<br />:3852:6
<br />1174.8
<br />50'
<br />4383:3
<br />1984.4 ;�',
<br />50.
<br />4988:1
<br />1852.6
<br />68,"'
<br />,3864:7
<br />1181:6,'
<br />:75
<br />, 4396:°5
<br />' 1492: 4 ,x
<br />: 82
<br />4980;1
<br />'.1862:2'
<br />xi 10•
<br />3876:8
<br />1188:4+:
<br />10•
<br />,4409.8
<br />1500.5
<br />.;,10'
<br />4995:4
<br />1871:8
<br />20 i
<br />, 3S89 : 0 '
<br />1195.2 '
<br />,
<br />' 120; :
<br />-A 423. 1
<br />1508.6 ;'
<br />20
<br />5010:0
<br />AM. 5
<br />30
<br />"390112
<br />1202.01
<br />30�
<br />443G:4:
<br />,1516'7`]
<br />-,30
<br />5024.8
<br />1891.2
<br />40
<br />13913.4
<br />1205.9
<br />40•
<br />-4449.7
<br />1524.9
<br />1, .•,40
<br />•5039.5
<br />"190D.9
<br />'50
<br />;2925.6
<br />1215.8:'
<br />150,
<br />4463.1
<br />1533.1
<br />:•:50
<br />5054:3
<br />1910:7,
<br />"89 : . .,3937:9
<br />1222 7'`,7$
<br />4470:5
<br />1541:4
<br />83
<br />5069.2_
<br />1920:9
<br />10 .
<br />3950:2
<br />'1229.7!
<br />10 -:'4489!9
<br />1549.7
<br />', ,10 '
<br />,5084:0
<br />'1930;4
<br />„ 20
<br />3962:5
<br />1236.7!
<br />20 :"4503x4
<br />1558.0 '!'1:}
<br />20 1
<br />•5099:0
<br />ID40.3
<br />:30
<br />`3974:8
<br />1243.7
<br />30
<br />451619
<br />1566.3
<br />30
<br />5113.9
<br />1950.3
<br />'40 :.3987:2
<br />:1250.5
<br />40
<br />4530.4
<br />;1574.7!
<br />40 '
<br />=5128:-9
<br />Q960.2
<br />'50
<br />3999.6
<br />. 1257.0
<br />;; 50
<br />-4574: 0
<br />15°3.-1 .
<br />�, ,: ;- 50_ i
<br />5143:9
<br />;1970.3
<br />r 70 .' 'r4011:9
<br />1255,0
<br />-- 1
<br />4557.6,
<br />1591.6j'
<br />94,
<br />5159:0
<br />19804
<br />V °10
<br />4024:4
<br />;'1272.1
<br />,77
<br />10
<br />4571:2
<br />1600.1
<br />_' ',10
<br />5174.1.
<br />1990:5
<br />1' 20
<br />;4036:8
<br />✓1279 3'
<br />20 {
<br />4584.8
<br />1608.6;y•,
<br />20 .,
<br />5189.3
<br />2000.6
<br />r-'30
<br />4049:3:
<br />.1286.5
<br />30 1
<br />4598.5
<br />1617.1
<br />-30
<br />5204.4
<br />2010:8
<br />40
<br />4061.8
<br />'-1293.61--:
<br />40, I.4612.2
<br />1625.7_.,
<br />`-"'40
<br />5219.7
<br />2021.1
<br />,r,
<br />50 '
<br />4074:4:
<br />1300.9
<br />', ;50
<br />4626:0
<br />1634.4
<br />I,' ;`50 `
<br />5234.9
<br />2031.4
<br />Corrections to be Added (T = Tangent: - E =External.) ' '
<br />t,e-
<br />Curse 5°
<br />SO° l5°_ 20° 25°
<br />'30°
<br />1,35 40°
<br />45° 50°
<br />55° 60° 65° 10°
<br />^A
<br />•
<br />do.
<br />T=.21
<br />.42 .63 .81 1.05
<br />L27
<br />1_.49 1.71
<br />1.94 2.17
<br />2.88 2.60 2.83 8.07
<br />'.774
<br />E=.050
<br />.112 .168 .225 :.283
<br />.340
<br />.398 .457
<br />.510 .575
<br />.038 .697 .851
<br />T=.23
<br />A0 .69 .93 1.16
<br />1.40
<br />1.64 1.88
<br />2.13 2.38
<br />2.63 2.88 3.13 3.39
<br />65°
<br />E=.067
<br />.135 .204 ':273 .343
<br />.412
<br />.483 '.554
<br />.625 .697
<br />..711 .845 .028 1.01
<br />Vr
<br />T=.25
<br />.51 76 1.02. LYS
<br />L54
<br />L80 2.06
<br />2.33 2.60
<br />2.88 3.10 3.44 3.73'
<br />'E=.080
<br />.159 -.240 •:321 .403
<br />.485
<br />..568 .652
<br />.735 .819
<br />.900 .994 1.08 1.11
<br />75°
<br />'T=•27
<br />t6$ .83 1.12 1.40
<br />1.89
<br />1.96 2.27
<br />2.57 2.87
<br />3.16 3.47 3.76 4 09'
<br />;
<br />E=.095
<br />.I82 ':288 .383 .460
<br />.578
<br />.878 .717
<br />.877 .977
<br />1.07 1.19 1.29 1.39,
<br />a 80;`
<br />-.61 91 1.22 1.53
<br />1.84
<br />2.15 2.48
<br />2.78 3.10
<br />3.44 3.78 4.12 4.48
<br />Ea.110
<br />220 .332 .445 .555
<br />.671
<br />.787 .901.02
<br />1.13
<br />1.25 1.38 1.90 1.82
<br />85°
<br />T=.33'.,
<br />66 1.00 1.33' 1.68
<br />2.02
<br />2.38 2.70
<br />3.05 3.40.
<br />3.77 4.14 4.56 4.89
<br />• E=.128...259
<br />.391 .524 .057
<br />=.790
<br />.926 1.08
<br />1.20 1.34, 11.47
<br />L67 1.78 11.91
<br />
|