|
.N•
<br />TAnr E I. -,Tangents_ and Externals to aX Curve.
<br />Chord -100 ft.
<br />iiZje
<br />Pirigle
<br />Tangent
<br />g ,
<br />External
<br />Int.
<br />Angle'
<br />Tan ent Eateenal
<br />_S . , _ i
<br />Int.
<br />Angle
<br />,Tangent
<br />External
<br />C 43 = !
<br />2257,0,
<br />428.5
<br />50°
<br />2671.8
<br />592.3
<br />57°,1
<br />3110.9
<br />790.1
<br />I O'
<br />.2266.6
<br />•:432.0
<br />.10',
<br />-2681:9.
<br />- 596.6'
<br />1CV
<br />31`11.7
<br />795.2
<br />-20j
<br />;2276.2..
<br />;2285:9:
<br />1;435.6
<br />20
<br />2692:1
<br />600.9
<br />2D,
<br />.3132.6'
<br />800.4
<br />••-- 30,
<br />.141
<br />1.439.2"
<br />;.:30
<br />-2702.3
<br />605.3:
<br />30
<br />-3143.4'
<br />805.6
<br />40'
<br />2295.6:
<br />-;412.8.
<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 />614.01
<br />60!
<br />;3165.1
<br />516.1
<br />44`•
<br />2314:0
<br />450.0
<br />51
<br />2732.9
<br />61814
<br />58•,^
<br />8176.0
<br />821.4
<br />10
<br />2324,6
<br />453.6
<br />110
<br />27.13.1'.
<br />,022:8'
<br />10'
<br />"3186.9
<br />826.7
<br />20
<br />-=2334.3
<br />• 457.3,
<br />20
<br />2753.4
<br />1027.2
<br />; 20
<br />3197.8
<br />832.0
<br />30
<br />'`2344-1
<br />1;461.0'
<br />30 j
<br />2763.7-
<br />1631.7'
<br />30
<br />3208.8
<br />837.3
<br />40
<br />2353.8
<br />:.464,6-
<br />'40
<br />2773.9-
<br />636.2!
<br />x• 40j
<br />X3219.7
<br />8.42.7
<br />b0
<br />2363.5
<br />,468.4'.
<br />50
<br />2784.2
<br />,640,7•
<br />,' '.; 50,
<br />x3230.7
<br />848.1
<br />45 ;
<br />2373.3
<br />472.1
<br />52 +-
<br />2794:5,
<br />645:2`:'
<br />59: ' !
<br />.13241.7
<br />853.5
<br />10'
<br />..120
<br />_2353:1'
<br />2392.8,
<br />. 475;8
<br />4479.6.
<br />i10
<br />2804.9
<br />1649.7
<br />.YO•
<br />13252.7
<br />858.9
<br />.700
<br />60° .
<br />T=.211
<br />•20
<br />;2815.2
<br />,654.3'
<br />;20
<br />1.27
<br />864.3
<br />30'
<br />2402.6'
<br />483.4
<br />30 ;
<br />,2825.6
<br />658.8
<br />;30;
<br />,•3263.7
<br />3374:$
<br />869.8
<br />_ 40
<br />2412:4'
<br />;487.2',
<br />40 '
<br />2&35.9,
<br />(663.4
<br />40,
<br />3235.$
<br />.575
<br />_ _50
<br />2422:3
<br />; 491, 0+'
<br />.. 50
<br />2840.3
<br />.968.0
<br />150
<br />320;1.9
<br />880.8
<br />1.16
<br />1.40
<br />1_.64
<br />11
<br />2.13
<br />2.38
<br />2.63
<br />,
<br />3.13
<br />'-462432.1,
<br />2441.9
<br />494.81
<br />53 .'
<br />2856.7;
<br />672.7,
<br />,60_.,`1
<br />'3308.0`
<br />886.4
<br />;10
<br />.697
<br />493.7,
<br />10
<br />.2867.1.
<br />(677.3'
<br />1, ,101
<br />,3319:1
<br />892.0
<br />20
<br />s
<br />2451.8
<br />502.5
<br />20 I
<br />2877.5:
<br />_,682.0;
<br />20 j
<br />,'3330.3
<br />. 897.5
<br />,r: 30
<br />2461.7
<br />506.4_•'30
<br />'1168.1
<br />2388:0,
<br />,086. 7,
<br />•,30
<br />.3341:4
<br />903.2
<br />40
<br />2471.5
<br />510.3
<br />••:40
<br />2398.4
<br />;091.4;
<br />40
<br />3352.6
<br />908.8
<br />i, _50
<br />24$1 4,
<br />.514.3
<br />50
<br />2908.9
<br />G96.1;
<br />.,,• 50 .
<br />3363.8
<br />.914.5
<br />1862.2
<br />10
<br />3876'.8
<br />•1188:4
<br />10'
<br />1 4409.8
<br />'1500.5
<br />10.
<br />4995.4
<br />,47
<br />12401_3
<br />518:2
<br />54
<br />2910:4
<br />700:9,
<br />61•
<br />3375.0
<br />920.2
<br />;,i0
<br />2501.2
<br />4,522.2
<br />t-10
<br />2929.9,
<br />(705:7
<br />10
<br />338(":3
<br />925.9
<br />L:-'20'
<br />2511:2
<br />-.526.1
<br />1,20
<br />-294U.4
<br />710.5,
<br />.20 '
<br />3397.5
<br />931.6
<br />,30
<br />2521,1"
<br />.630.1
<br />-30
<br />2951-.0
<br />715.3
<br />. 30
<br />3408:8
<br />` 937..3
<br />40
<br />2531.-1'
<br />X534.2
<br />4U
<br />2961:5
<br />720.1
<br />T,'4.0
<br />3420:1
<br />. 943.1
<br />;,r 504
<br />2541:0.
<br />•438.2
<br />5b
<br />2972 _1.
<br />?725.Oy
<br />LOQ
<br />'343L
<br />998.9
<br />1930.4
<br />- .20
<br />39G2.5
<br />1236.7
<br />r
<br />4503.4
<br />11558.0
<br />•'.20,
<br />5099.0
<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;1
<br />960.6
<br />20
<br />•257L:0
<br />1550-A
<br />_,20
<br />3003.9
<br />739.7'
<br />.20'
<br />3465:4
<br />966.5
<br />{: 30
<br />2581.0
<br />x554.5
<br />30
<br />3014.5
<br />744.6.
<br />30 '
<br />3476,8
<br />972.4
<br />40
<br />259L.0
<br />558.6
<br />40
<br />3025:2
<br />749.G`
<br />.40
<br />3488.3
<br />978.3
<br />1990.5
<br />;_2001.11
<br />.562.8
<br />50
<br />3035,8'
<br />754.6
<br />50.
<br />3499;7
<br />984.3
<br />2000.6
<br />30:
<br />4049:3
<br />1286.5.'
<br />x.',30:
<br />4398.5
<br />1617.1
<br />30.
<br />5204.4
<br />u49
<br />2611:2'
<br />566:9
<br />56
<br />3046.5
<br />759:6
<br />X63
<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 />1; 20
<br />2631'.3.575.3
<br />20
<br />3067.9
<br />769.7
<br />20 +
<br />3534`;l
<br />1002.3
<br />P 30
<br />2(341.4'
<br />.579.5
<br />80
<br />3078.7
<br />774.7
<br />30
<br />3545.6
<br />1008.3
<br />40
<br />2fi51,.5.,
<br />533.5
<br />40
<br />3U89.4
<br />779.8
<br />40
<br />3557.2;
<br />'1014.4
<br />50
<br />2661.6'
<br />588.0
<br />50
<br />3100.2 .
<br />734.9
<br />50
<br />3568:7-
<br />.1020.5
<br />Corrections to be Added (T =Tangent. E =_'External:)'
<br />Iat.
<br />Angle
<br />Curvo 5° '
<br />10° `
<br />15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />45° 1
<br />50°
<br />55°
<br />60°
<br />65°
<br />70'
<br />40°
<br />E
<br />1643.0
<br />10'
<br />3591.0
<br />1032.8
<br />>.10'.
<br />4099.5
<br />.1315.6
<br />1
<br />4653.6
<br />1.277
<br />1
<br />1.315
<br />1.341
<br />20
<br />=.023
<br />•,046
<br />.070
<br />.003
<br />-.817
<br />.141
<br />,172
<br />°03
<br />234
<br />-.26'-345
<br />1330.3
<br />200
<br />4631.3
<br />1669.2
<br />45.
<br />T=.15
<br />.30
<br />.74
<br />.60
<br />.75
<br />.01
<br />1.06
<br />1.21
<br />1.37 ,1.52
<br />3638.5
<br />1.70
<br />1.87
<br />2.04
<br />2.21
<br />;. 50.
<br />E=.010
<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 />Su°
<br />T=.17
<br />.34
<br />.51
<br />.09
<br />.85
<br />1.02
<br />1.19
<br />1-36
<br />1.51
<br />1.72
<br />1.91
<br />2.10
<br />2.29
<br />2.48
<br />30;
<br />>;=.037
<br />.075
<br />.116
<br />.151
<br />.189
<br />.227
<br />.266
<br />.305
<br />".345
<br />.384
<br />.425
<br />.467
<br />.508
<br />.550
<br />55°
<br />T=•19 t
<br />.38
<br />.57
<br />.78
<br />95
<br />1.14
<br />1.32
<br />152
<br />152
<br />1.92
<br />2.14
<br />2.35'
<br />2.58
<br />2.77
<br />731"
<br />E=.046?
<br />.093
<br />'.142
<br />.138
<br />.236'
<br />.233
<br />.332
<br />3.81
<br />:420
<br />,470
<br />.530
<br />.582
<br />.641
<br />.700
<br />60° .
<br />T=.211
<br />•42
<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 />3.07
<br />_30
<br />4850.5
<br />N
<br />.168
<br />.225
<br />.233
<br />.340
<br />,398
<br />.•457
<br />.516
<br />.575
<br />.626
<br />.697
<br />:774
<br />.851
<br />650
<br />-E=.036
<br />T=.234
<br />.46
<br />.69 f
<br />,93
<br />1.16
<br />1.40
<br />1_.64
<br />1.88
<br />2.13
<br />2.38
<br />2.63
<br />2.88
<br />3.13
<br />3.39
<br />1,10•
<br />E=.067
<br />.135
<br />.2041
<br />,273
<br />.343
<br />.412
<br />.483 .554
<br />.625
<br />.697
<br />.711
<br />.845
<br />.922
<br />1.01
<br />is :S- ;1+811 - -: .... ir,--a...-. � MM. i T•, ,!•t,u,. dr L:L - .. �..:° '�: j:':l. :f'', :...... �•-.+. .�..,1.:• ,J^': -:.
<br />TAsi;i"I" - Tangentg'iind Externals fo a 1° Curve. `,
<br />Chord =100 f t.
<br />-Angle
<br />Tangent
<br />External
<br />r,je:
<br />Tangent.
<br />External
<br />I
<br />An le
<br />Tangent
<br />External
<br />G4 •''
<br />'3550.3
<br />1020.6
<br />71°i
<br />"4086.9:
<br />1308.2
<br />78°
<br />4639.8
<br />1643.0
<br />10'
<br />3591.0
<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 />4667.4
<br />1660.5
<br />1 �_30'
<br />3615.1
<br />1045.2
<br />'30'^
<br />9124.8
<br />1330.3
<br />30
<br />4631.3
<br />1669.2
<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 />1.50-
<br />3638.5
<br />.1057.7'
<br />, 50_
<br />4150.1
<br />1345,1 ,'
<br />;. 50.
<br />4709.2
<br />1.6.56.9
<br />65:'!.1
<br />3650:2
<br />1063:9
<br />I
<br />,12 -
<br />i
<br />41G2:8
<br />'1352:G
<br />79' '
<br />4723.2
<br />1695:8.
<br />J=",10.
<br />36G1.9
<br />1070.2
<br />- 10.
<br />"41,75.6
<br />1360.1
<br />10-
<br />4737.2-.1704.7
<br />.485 .568
<br />T... 20.
<br />3G73.7
<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 />422G.8
<br />1390.4
<br />50
<br />4703,6
<br />1740,8
<br />66^8.'
<br />3720-9
<br />1102:2`
<br />731"
<br />4239.7,
<br />1398:0.'!
<br />80;
<br />4807.7
<br />1749A
<br />.40
<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 />.4205.0
<br />1413.1,
<br />', ,.20
<br />4836.2
<br />1768.2•
<br />3.77
<br />37.16:5
<br />1121.7
<br />.- 30':
<br />4378.5'
<br />'.1421.2
<br />_30
<br />4850.5
<br />1777,4
<br />40
<br />3768.5
<br />'1128.2
<br />". X40.,
<br />4291.5
<br />1429.0
<br />40;
<br />4364.8
<br />'1786.7
<br />00.
<br />3780.4
<br />1134.8
<br />51141
<br />.;50:
<br />�
<br />'4304.6,
<br />1143G.8
<br />t
<br />.'50_,
<br />4879.2
<br />1796.0
<br />67
<br />3792.4
<br />4
<br />74 c,'
<br />'4317.6
<br />11444.6
<br />81
<br />4803:6
<br />1805:3'
<br />1,10•
<br />38U4.4
<br />1113.0
<br />! 10 .
<br />', 4330:7
<br />'1452.5
<br />10
<br />4908-0
<br />1814.7
<br />-20-
<br />3316.4
<br />115.1.7
<br />20.
<br />4313.S
<br />1460.4
<br />20:
<br />4922.5
<br />1524.1
<br />^30+
<br />38M4
<br />116L.3
<br />i 30
<br />t4356.0
<br />,1468.4
<br />.(30-
<br />4937.0
<br />1833.6
<br />0.�"40'
<br />''3840.'5
<br />'1168.1
<br />40-.
<br />4370.Y
<br />1476.4
<br />40;
<br />d951:5
<br />'1843.1
<br />•50.
<br />3852:6';1174.8
<br />50
<br />4383.3
<br />1484.4
<br />.50.,
<br />4966.1
<br />1852.6
<br />-68:7"
<br />8864.7
<br />1181S,
<br />I', 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 />1 4409.8
<br />'1500.5
<br />10.
<br />4995.4
<br />1871.8
<br />20
<br />3859.0
<br />1195.2
<br />! _ 20
<br />i 4123:1
<br />1503-6
<br />20
<br />5010.0
<br />1881.5
<br />30
<br />3901.'2
<br />`. 1202.6
<br />30
<br />' 4486.4
<br />11516.7
<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 />5
<br />150,
<br />5054.3
<br />19.10.7
<br />60•
<br />3937.9
<br />1222 7
<br />76. _
<br />4476:5
<br />1541.4
<br />83 '
<br />"5069.2
<br />1920.5
<br />' 30'
<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 />39G2.5
<br />1236.7
<br />20
<br />4503.4
<br />11558.0
<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 />'5113.9
<br />1950.3
<br />40
<br />3957.2
<br />1250.8
<br />.:40 :
<br />4530.4
<br />1574.7
<br />40:
<br />'5128:9
<br />1960.2
<br />J-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 />4024:4
<br />1272.1
<br />10
<br />4571.2
<br />1600.1
<br />10
<br />5174.1
<br />1990.5
<br />20
<br />4036.S
<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 />x.',30:
<br />4398.5
<br />1617.1
<br />30.
<br />5204.4
<br />2010.8.
<br />1 40/
<br />4051,8
<br />1293.6
<br />1 40
<br />9612.2
<br />1625.7
<br />40,
<br />5219.7
<br />2021.1
<br />.,.5u:
<br />4074.4
<br />1300.9
<br />50:
<br />4626:0
<br />'1634.4
<br />7 50
<br />5234.9
<br />2031.4
<br />Corrections to be Added (T =Tangent. E =External.)
<br />1118.
<br />Curve 5°
<br />20°
<br />25°
<br />30° 35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60° 65°
<br />70°
<br />_ A11gle'
<br />60°
<br />T=.21
<br />:84
<br />1.05
<br />127 1.49
<br />1.71
<br />1.94
<br />2.17 '
<br />2.38
<br />2.60 2.83
<br />3.07
<br />E =.056'68
<br />.225
<br />.283
<br />.340 .398
<br />.457
<br />.516
<br />.575
<br />.636
<br />.697 .774
<br />,851
<br />T-23
<br />9
<br />.93
<br />1.16 '
<br />1.40 1.64
<br />1.88
<br />2.38
<br />2.63
<br />2.88 3.13
<br />3.39
<br />65°
<br />E=-067
<br />+'.69
<br />04
<br />.273
<br />.343
<br />1.28
<br />,412, .483
<br />1.54 1.80
<br />.2.13
<br />.554
<br />2.06
<br />.625
<br />2.33
<br />.697
<br />2.60
<br />.711
<br />2.88
<br />.845 .922
<br />3.16 3:44
<br />1.01
<br />3.72
<br />70° 'T =.25
<br />0
<br />1.02
<br />E=.080
<br />40
<br />".321
<br />.403
<br />.485 .568
<br />.652
<br />.735
<br />•814
<br />•906
<br />•994 1.98
<br />1.17
<br />75°
<br />T=.27
<br />3
<br />1.1.2
<br />1.40
<br />1.69 1.98
<br />2.27
<br />2.57'
<br />2.87
<br />3:16
<br />13.47 3.78
<br />409
<br />E=.096
<br />0
<br />.383
<br />:480
<br />.578 :678
<br />.777
<br />.871
<br />.977
<br />1.07
<br />1.18 1.20-
<br />1.39
<br />80°
<br />T =.30
<br />.61 .91
<br />1.22
<br />1.53
<br />1.84 2.15
<br />2.4G
<br />2.78
<br />3.10
<br />3.44
<br />3.78. 4.12
<br />4.46
<br />:E=310
<br />,.220 .332
<br />.445
<br />.558
<br />.671 .787
<br />.903
<br />1.02
<br />1.13
<br />1.25
<br />1.38 1.50
<br />1:62
<br />65°
<br />T=-33
<br />.66 1.00 ,1.33
<br />1.63
<br />2.02 2AG
<br />2.70
<br />3.05
<br />3.40
<br />3.77
<br />4.14 4.55
<br />4.89
<br />E =.128
<br />.259 .391
<br />.524
<br />.657
<br />.700 .926
<br />cob
<br />1.20
<br />1.34
<br />1.47
<br />1.62 1.76
<br />1.91
<br />Ulm
<br />
|