|
„N TAB],E'T. Xangents_and•Externals_to a:l'� Curve.
<br />Chord =400'ft.-
<br />Int.
<br />Aag1e
<br />Tan nt
<br />Se
<br />'
<br />Externa!
<br />1igle
<br />Tangent External
<br />-"tingent
<br />IT73
<br />.53
<br />,093
<br />External425
<br />?'45u
<br />yr
<br />T=:15 .30 .44
<br />=:030 ?,060 ,093
<br />5
<br />:50°
<br />2671.8•
<br />5923
<br />5710.9
<br />.85 1.19 1.36 1.59 1.52 1-Ol 2.10 2.29 2.45
<br />790.10
<br />E =.037 `.075 .115
<br />2266.6
<br />2276.2
<br />, 432:0!
<br />435.61
<br />LO!;
<br />•20
<br />;2681797
<br />t 596.6
<br />.95 1.14 1-32 1.52 1.72 192 2.14 2-35 2.56 2.77
<br />21,.7
<br />795.220
<br />.4S6
<br />2285 9
<br />, 439,2
<br />•,30 !
<br />r ,2692'-1'
<br />'2702'3
<br />600,9'
<br />•005 3
<br />r32.6
<br />E=.010.7 -.112 .]138
<br />500-430
<br />,283 .340 .308 .457 .51.6 -575 .G36 .697 .774 .851
<br />•2295 6
<br />,.442 8
<br />'446.41
<br />40 I
<br />2712 5
<br />„609 61
<br />'614.0i
<br />E=.W '.135 Al",.20
<br />43.4
<br />54.2
<br />805.640
<br />810.9
<br />c _50:
<br />2305.2'
<br />3626:8
<br />50
<br />+2722 7
<br />,4137.4
<br />b0
<br />3165:1
<br />816.1
<br />44'
<br />P 10
<br />2314:9
<br />2324.6
<br />450,.0
<br />,453.6'
<br />'51 '•
<br />2732:9'
<br />2743:1
<br />618-4!
<br />58zi
<br />3176.0
<br />821.4
<br />20
<br />2334.3
<br />457.3
<br />,•10.'
<br />20
<br />275314
<br />+622,81
<br />627.2+
<br />10
<br />20
<br />3186.9
<br />3197-.5
<br />826,7
<br />532,0
<br />30
<br />40
<br />•2344:1
<br />2353.8
<br />,461.0
<br />464.6•
<br />S0
<br />2763:7'
<br />;631.7{
<br />'• 30
<br />,3208.8
<br />837.3
<br />„. 50
<br />2363:5
<br />468.4
<br />40
<br />2773.9
<br />27414.2'
<br />636.2(
<br />s , 40;
<br />3219.7
<br />842.7
<br />1713.7
<br />30,
<br />3686:4
<br />,:50
<br />i '3U-
<br />,640.7
<br />50
<br />3230.7
<br />848,1
<br />45 -
<br />2373.3
<br />472_.1!
<br />52-'
<br />2794:5
<br />645:2
<br />69 _
<br />3241.7
<br />853.5
<br />L'....1D
<br />20
<br />2383.1
<br />475.8,
<br />..10
<br />2804.9
<br />;649:7,
<br />• 10,
<br />.3252:7
<br />858.9
<br />' 30
<br />2392.8
<br />2402.6`
<br />:470.6
<br />1433.4
<br />20
<br />;:`30
<br />2815.2
<br />2325.6
<br />•654.'3'
<br />jG58,8':
<br />20;
<br />;•3263:7
<br />834.3
<br />i'•.^";9D
<br />2412.4
<br />+,487.2
<br />40
<br />2935.9
<br />x66.3 4;
<br />;301
<br />'40
<br />3274.8
<br />-3285,8.
<br />809.8
<br />•875.3
<br />0
<br />,1422.3
<br />1491.0''
<br />S0
<br />.2340:3
<br />.668"
<br />.0
<br />50
<br />3296:0
<br />.880.8
<br />17:79.0
<br />t
<br />i
<br />1115,1
<br />l
<br />•426516
<br />_
<br />20,
<br />4S36:2
<br />46 ,
<br />2432.1
<br />494.8
<br />-53 -
<br />2856,71
<br />672.7
<br />60`
<br />3308.0
<br />886.4
<br />10
<br />2441,91498.7
<br />37GS':5
<br />Ir' 16
<br />2807,4^-677.-3;
<br />4291:5
<br />10
<br />3319:1.
<br />892.0
<br />( 20
<br />30
<br />2451.8
<br />2461,7
<br />502.0
<br />,r , 20
<br />2877,5
<br />482,0
<br />20
<br />•3330_3
<br />897.5
<br />40
<br />2471..5
<br />6U3,4'
<br />, ,1-30
<br />2888:0
<br />X685,7
<br />30
<br />:3341:4
<br />903.2
<br />50
<br />'2481;4
<br />1510.3'
<br />:514.3'
<br />- x40
<br />-,50
<br />2898:4
<br />-200&9
<br />691.4'
<br />696.11150
<br />40
<br />3352.6
<br />903.8
<br />1614.7
<br />20
<br />3316.'4
<br />1154.7Ij
<br />20:
<br />4343,8
<br />1460.4
<br />13363:8-
<br />;-,914.5
<br />c47 '
<br />2491.3
<br />518:2"
<br />54
<br />2919.4
<br />700:0'
<br />:61; i
<br />;3375:6
<br />920.2
<br />x,10.
<br />2501.2
<br />1522.2
<br />'10
<br />.2929.9
<br />705.7•
<br />%t +10 ;
<br />33SG 3
<br />':925.9
<br />20
<br />30
<br />2311:_2
<br />:526.1
<br />2U
<br />2940.4
<br />-710,5
<br />20
<br />-2397.--5
<br />931.5
<br />.,. 40
<br />2521.1
<br />2531.1
<br />520.1'
<br />524.2'
<br />30
<br />2951'.0,
<br />,715.3
<br />30 1
<br />'40
<br />3408.8
<br />937-3
<br />'-U43
<br />50
<br />2541.0
<br />-538.2
<br />40
<br />502972:,1
<br />2961,5
<br />,720.1
<br />1725,0`
<br />.
<br />50
<br />:3420:1
<br />3431:4
<br />.1
<br />48 't
<br />10
<br />2,551':0 -
<br />542:2
<br />55--
<br />2982.7
<br />729.9 ,
<br />132
<br />3442:7.
<br />954.8 .
<br />,._20
<br />i25G L 0
<br />2571-0
<br />;546.3
<br />1550.4'
<br />10
<br />;-,'.20
<br />2993.3
<br />3003.9
<br />734.8.
<br />1739.7
<br />%10
<br />".i '20
<br />3454':1;
<br />:3465:4'
<br />,960 6
<br />966.5
<br />30
<br />2581,0
<br />554,5
<br />1i,; 30
<br />3014:5
<br />744.6'
<br />30
<br />3476:8
<br />972,4
<br />40
<br />;2591,07558.6,
<br />3925:0
<br />•,'40
<br />+3025:2
<br />749:6
<br />,
<br />40
<br />3488:3
<br />'978.3
<br />50
<br />2601:1
<br />562,8
<br />„ '50
<br />3035:8
<br />4754. 6,
<br />•;50
<br />3499{7'
<br />984,3
<br />-49;-
<br />2611:2•
<br />566:9
<br />60'• •
<br />1
<br />,30461 5,
<br />759:�6r
<br />63 -- ' j ;3511:1
<br />10
<br />990-2
<br />s-10 .2621;2
<br />i720
<br />5'20
<br />571:11
<br />,10
<br />3057.'2
<br />,764.6
<br />, -_,,10
<br />,3522:6
<br />. 996.2
<br />1940.3
<br />26313
<br />575, 31
<br />^, 20
<br />•3007-. 0'
<br />,769.7
<br />1 , , 20
<br />:3534.1
<br />11002.3
<br />30
<br />2641.4,
<br />;579.5
<br />--30
<br />3078:17'
<br />774.7
<br />t 30-''+3:,45.6'
<br />40
<br />5128:9
<br />740
<br />;2651.5
<br />•533.8
<br />:••40
<br />i30S9.4•,
<br />1779.8
<br />;,140 ;3557._2,
<br />_,'-a0,
<br />_1008.3
<br />,1014,4
<br />:2661-G-'
<br />70 ••'
<br />;588.0
<br />`40
<br />310072
<br />,784',9.
<br />50 ;3:;08
<br />7
<br />,1020.5
<br />•1980.4
<br />l0
<br />4024.4
<br />1272.1
<br />10
<br />4571.2
<br />- 16x0.1
<br />„ to
<br />5174:1
<br />Corrections' -to be'Added (T "=,Tangent. E'= External:)''
<br />Int.:.;
<br />_ Aogle
<br />O p
<br />Carve -5° 10 I5,
<br />_
<br />-20°
<br />25° 35° 40° 45°'-50° 55°.60°` 65° 70°
<br />140°
<br />T=.13' .213 -.40
<br />E =.023: '.016 '.UiO
<br />.53
<br />,093
<br />137 .93 -IOC 1.20 1.34 1.99 1.64' 1.79 1.94
<br />,117 .1 i2 -203 .234 .265 '.277 :290 .315 "341
<br />?'45u
<br />yr
<br />T=:15 .30 .44
<br />=:030 ?,060 ,093
<br />GO
<br />,119
<br />'.70 1:06 1.21 I-37 1.52 1.70 1.87 2.04 2.21
<br />.153 J.
<br />.80.254 .289 .325 '.351 .378 .411 .445
<br />1,22,927
<br />50°
<br />T=.17 ,34 •:51
<br />1
<br />.63
<br />.85 1.19 1.36 1.59 1.52 1-Ol 2.10 2.29 2.45
<br />4639,8
<br />E =.037 `.075 .115
<br />-MI
<br />.189 .266 .305 .345 .384 .425 .457 .503 .560
<br />55°
<br />T=AO _ -38 .57
<br />.76
<br />.95 1.14 1-32 1.52 1.72 192 2.14 2-35 2.56 2.77
<br />10'
<br />E =.046 A93 .142'
<br />.4S6
<br />.230 .2n^3 .332 3.51 .920 .479 .530 .582 ,Ohl, ,700
<br />600
<br />�T-.21 1 .42 .133
<br />84
<br />1.03 1.27 1,49 1.71 1,94 2.17 1,38 2:60 2.83 3.07
<br />1322.9
<br />E=.010.7 -.112 .]138
<br />,225
<br />,283 .340 .308 .457 .51.6 -575 .G36 .697 .774 .851
<br />65o
<br />T=:23 Afi1,16
<br />•1045:2
<br />1.40 1.64 1sa 2.13 2-38 2.63 2,38 3.13 3.39
<br />.412-1.8
<br />E=.W '.135 Al",.20
<br />.273
<br />.343 ,412 .433 ,554 ,025 ,697 .711 ,845 ,022 1.01
<br />Ta13i'I -:Tangents a1?d Externals to a 1° Curve. v'
<br />Chord = 10 0 ft.
<br />Ii t.
<br />Angle.
<br />Talent
<br />T:sier=l
<br />+ Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />13xternal'
<br />551
<br />3580.3
<br />1026 5
<br />i 711 1- >
<br />408G-9
<br />1308.2
<br />78°'
<br />4639,8
<br />`'1643,6
<br />10'
<br />3591.9
<br />1032 .8,
<br />^;0''
<br />4099-5
<br />1315.6
<br />10'
<br />4653,6
<br />IU51.7
<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 />I '30
<br />-3515:1-
<br />•1045:2
<br />1,7._30_
<br />.412-1.8
<br />1330.3
<br />,30
<br />4681,3
<br />1U60,2
<br />40%
<br />3626:8
<br />'1051.4
<br />' u.-40 ;
<br />,4137.4
<br />1337.7
<br />40
<br />3695.2
<br />1678,1
<br />50
<br />3638:5'
<br />;1057.7'
<br />1:.-50._
<br />!4150:1.
<br />1345.1
<br />50
<br />4701.2
<br />16,86,9
<br />6,: "•
<br />3650:'2•
<br />1003 .'9-
<br />i.72X4162'8
<br />3.13
<br />1352,61
<br />79 -
<br />,;1723.2
<br />1695.8,
<br />'
<br />3661,.9
<br />' 1070.2
<br />S I .110-1
<br />' 4175 61360.1
<br />.625
<br />10'
<br />5737.2
<br />. 170-1:7
<br />.10:
<br />1 20'
<br />367317
<br />;1076.6
<br />` ':.+20;
<br />4185.5
<br />1367,6
<br />_ 20,
<br />4751;2
<br />1713.7
<br />30,
<br />3686:4
<br />1082.9
<br />i '3U-
<br />'4901,2
<br />1375.2
<br />30,
<br />4765.3
<br />1722.7
<br />40
<br />3697.2
<br />P 1039.3
<br />:40
<br />4314:0,
<br />' 1382-8'
<br />4U ;
<br />477974
<br />:1731.7
<br />50'
<br />3709:0
<br />1095.7
<br />.'50 .
<br />'4226;8
<br />1390.4
<br />-50'
<br />4793;0
<br />a. 1740.8
<br />198
<br />3.27
<br />2.57
<br />2.07
<br />3.16
<br />3.47
<br />3.78
<br />4.09
<br />75°
<br />66:
<br />3720.9
<br />'1102,2-
<br />73 r:
<br />:4239:7
<br />139820.
<br />SO e•;
<br />46071T
<br />1749:9
<br />-
<br />i ;10
<br />3732:7
<br />1108.0
<br />10,
<br />4252.G
<br />1405.7
<br />10,4822:0
<br />1.22
<br />17:79.0
<br />1-..20
<br />37446
<br />1115,1
<br />;20.
<br />•426516
<br />1413.5
<br />20,
<br />4S36:2
<br />1768:2
<br />1 ,80.
<br />3756.5
<br />1121,7
<br />.130
<br />'4278.5
<br />11421.2
<br />30
<br />4550',5
<br />1777,4
<br />1613
<br />37GS':5
<br />1128.2
<br />40
<br />4291:5
<br />•1429.0
<br />40
<br />4864:8
<br />1786,7
<br />.-'40
<br />:. 'S0
<br />3780.4
<br />1134.8
<br />.'.;50
<br />430476
<br />1435.8
<br />L •50-
<br />18794
<br />17913,0
<br />- ST', ;
<br />3792:4
<br />1141.4
<br />74
<br />4317.6
<br />1444, G'
<br />81-
<br />4893.6
<br />1805.3
<br />10
<br />3804:4
<br />1148.4
<br />110
<br />4330.7
<br />1452.5
<br />10
<br />X1908.0
<br />1614.7
<br />20
<br />3316.'4
<br />1154.7Ij
<br />20:
<br />4343,8
<br />1460.4
<br />'.•20
<br />4922.5 _
<br />1,924.1
<br />'30
<br />'3828.'1161.3
<br />' •..30 .
<br />i 4356:9
<br />' 14GS A
<br />+ 30
<br />1937.0
<br />1833.6
<br />40,
<br />3840::5
<br />1168.1
<br />400
<br />1476,4
<br />40,
<br />4951:5
<br />1843.1
<br />•50
<br />'
<br />3852.6-
<br />1174.8
<br />' = 50''
<br />14370„1
<br />4383,3
<br />'1434.4
<br />+.1.50:
<br />49GGA
<br />1&52.6
<br />68
<br />3564_:7
<br />1181?6
<br />I
<br />75
<br />1
<br />439G:5
<br />`1492-.4
<br />82_ '"
<br />4380';7
<br />1862.2
<br />10•
<br />3876.8
<br />1188.4
<br />T.10',
<br />:4409:8
<br />,1500.5
<br />10,
<br />4995:4
<br />1871.8
<br />20
<br />3889.0
<br />1196.2
<br />20';
<br />•4423x1
<br />1508.6
<br />20:
<br />5010`.0
<br />1881.6
<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 />3913.4.1208.9
<br />90
<br />' 4449.7
<br />1,524.9
<br />•40;
<br />.5039:5
<br />190D,'9
<br />50
<br />1
<br />3925:0
<br />1215.8
<br />'-50
<br />' 4463:1
<br />:1533.1
<br />50.
<br />5054,3
<br />191D.7
<br />6%
<br />3937.9
<br />1222<7'
<br />76. .-
<br />4470`5
<br />,1541:4
<br />83-
<br />'5069:2
<br />1920:5
<br />10
<br />.3950.2.
<br />1229.7
<br />! 10_
<br />4489,9
<br />1549.7
<br />10
<br />.5084.0
<br />! 1930.4
<br />5'20
<br />3962.'5
<br />1236.7
<br />20
<br />4503.4
<br />, 155S,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 />3987'.2
<br />1250.8
<br />40.
<br />4530:4
<br />1574.7
<br />40
<br />5128:9
<br />1950.2
<br />:..'50
<br />3999:5
<br />1257.9
<br />,.50.:
<br />4514:0
<br />1583.1
<br />_,'-a0,
<br />5143,9
<br />1970.3
<br />70 ••'
<br />'4011,9
<br />126570'
<br />77 -
<br />'4557:6
<br />` 1591.6
<br />84,.- ' •,
<br />5159.0
<br />•1980.4
<br />l0
<br />4024.4
<br />1272.1
<br />10
<br />4571.2
<br />- 16x0.1
<br />„ to
<br />5174:1
<br />1990.5
<br />20
<br />1279.3
<br />20
<br />4584.8
<br />' 1608.G
<br />20
<br />5I89:3
<br />2000.6
<br />30
<br />.4036.8
<br />4049:'3
<br />1286.5.
<br />30
<br />4598.5
<br />1517.1
<br />30
<br />52044
<br />2010.8
<br />40
<br />'4061.8
<br />1293.6
<br />404612.2
<br />1625.7
<br />40
<br />5219.7
<br />2021.1.
<br />- .,50
<br />'4074.4
<br />1300.9
<br />50
<br />4626:0
<br />1634.4
<br />50
<br />5234.9
<br />2031.4
<br />Corrections to be Added (T = Tangent. E = External.)
<br />Int.
<br />Cu v -a 5° •30° 15°
<br />20°
<br />25°
<br />30°
<br />351
<br />40°
<br />45°
<br />50°
<br />551
<br />60°
<br />65°
<br />70°
<br />T=.21
<br />.42 .63
<br />.84
<br />1.05 1
<br />1.27
<br />1.49
<br />1.71
<br />1.94
<br />2.17
<br />2.38
<br />2.60
<br />2-63
<br />3-07
<br />60°
<br />E=.055
<br />-.112 -.168
<br />225
<br />.283
<br />.340
<br />.398
<br />-.457
<br />.516
<br />.575
<br />.036
<br />.697
<br />.774
<br />,851
<br />T =.23
<br />:413 .139
<br />.93
<br />1:16
<br />1.40
<br />1.64
<br />1.$8
<br />2:13
<br />2-38
<br />2.63
<br />2.56
<br />3.13
<br />3.39
<br />GS'
<br />E ==M7
<br />.135 .204
<br />.273
<br />.3_43
<br />..412
<br />.463
<br />.554
<br />.625
<br />.697
<br />.711
<br />.845
<br />.922
<br />1.01
<br />T=.25
<br />.51' .76
<br />1.02
<br />1.28
<br />1.54'
<br />1:80
<br />2.06
<br />2.33
<br />2.60
<br />2.86
<br />3.16
<br />3.44
<br />3.72'
<br />701
<br />E=.080
<br />.159 .240
<br />.321
<br />.403
<br />.465
<br />.568
<br />.Gs2
<br />.735
<br />.819
<br />.906
<br />'094
<br />1-09
<br />1.17
<br />T=.27
<br />56 .83
<br />112
<br />1.40
<br />1.69
<br />198
<br />3.27
<br />2.57
<br />2.07
<br />3.16
<br />3.47
<br />3.78
<br />4.09
<br />75°
<br />F=.095
<br />.132 .286
<br />.383
<br />.480
<br />.578
<br />:678
<br />.777
<br />.677
<br />,9771
<br />,07
<br />1.18
<br />1,2D
<br />1.39
<br />T=:30'
<br />61
<br />1.22
<br />153
<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 />4.913
<br />BO°
<br />E= .110
<br />.91
<br />220 .332
<br />.445
<br />.558
<br />.671
<br />.787
<br />.903
<br />1,02
<br />1613
<br />1.25
<br />1.38
<br />1-50
<br />1.62
<br />05°
<br />•T=.33
<br />60 1.001.33
<br />168
<br />2.02
<br />2-36
<br />2.70
<br />3.05
<br />3.40
<br />3.77
<br />4.14
<br />4.55
<br />4.89
<br />'E-,128
<br />.259 .391
<br />.524
<br />.657
<br />.790
<br />.9201-06
<br />1:20
<br />1.34
<br />1.47
<br />1,62
<br />1.76
<br />1.91
<br />
|