|
VI T"L'E' I.`= Tangent's and -Externals to a-1° Curve:
<br />Chord = 1 na ft'
<br />Int. •;
<br />Angle
<br />.Tangent
<br />External
<br />Angle'
<br />Tangent
<br />External
<br />e -
<br />Angle
<br />Tangent
<br />External
<br />85°
<br />5253.3
<br />204117
<br />92-
<br />"5033:2
<br />2518.5
<br />X99'-:'
<br />-6708:6
<br />3092:7
<br />c:, 10'
<br />20
<br />:5265.6'
<br />2052,1
<br />10'
<br />-5950.5
<br />2531.0
<br />10'
<br />6728:4
<br />'3107.7
<br />'4.14
<br />.5281:0;
<br />2062.5
<br />20
<br />.6967.9
<br />2543.5
<br />< '20
<br />6748.2
<br />3122.9
<br />30
<br />,5290.4•
<br />75311:9!
<br />2073.0 '
<br />;;30',59S5.3
<br />1.34
<br />2556.0
<br />30
<br />6768.1
<br />3138.1
<br />90°
<br />T=.36
<br />2083.5
<br />_•40.
<br />6002:7
<br />2568.6
<br />r40
<br />6788.1
<br />3153.3
<br />50
<br />5327:4:
<br />2094.1
<br />50
<br />6020.2
<br />2581.3
<br />'50
<br />6808.2
<br />3168.7
<br />86"
<br />5343.0
<br />2104.7
<br />63
<br />6037-.8
<br />2594.0
<br />100::-
<br />'6828`3'
<br />3184.1
<br />10
<br />,5358.6
<br />2115.3 .
<br />10
<br />6055.4
<br />2606.8
<br />1, 140
<br />'6848;5'
<br />3199.6
<br />20
<br />.5374.2,
<br />2126.0 :
<br />20
<br />G073.1
<br />2,319.7
<br />,' 20
<br />`4868:8
<br />3215.1
<br />30
<br />5389.91
<br />2136.7
<br />•• 30
<br />r-`
<br />6090:8.
<br />2632.6
<br />"•';x30
<br />GSS9 2
<br />3230.8
<br />40
<br />5405.6'
<br />2147.5
<br />40
<br />6108.6
<br />2645.5 .
<br />40
<br />=6909.6
<br />3246.5
<br />50
<br />6421.4•.
<br />2158.44'
<br />• 50
<br />6126:4'
<br />2658.5.
<br />-'50
<br />'6930:1.
<br />3262.3
<br />'Si""
<br />X5437.2,
<br />2169':2
<br />94' -
<br />6144.3
<br />2671.6
<br />101 `F
<br />6950:8
<br />3278:1
<br />16
<br />'5353:1"
<br />2130.2
<br />10
<br />'6162.6
<br />2684.7
<br />10
<br />6971'.3
<br />3294.1
<br />".20
<br />5169.0
<br />2191.1
<br />20
<br />16180.2
<br />2697.9 '
<br />". '20
<br />6992:0
<br />3310.1
<br />j.;••305184..9,
<br />7934:6
<br />2202.2.
<br />30
<br />.6198.3
<br />2711.2
<br />= 30
<br />7012.7
<br />3326"1
<br />40
<br />`5500.9'
<br />2213.2'`
<br />40,
<br />'6216C4
<br />2724.5
<br />40
<br />7033:6.
<br />3342.3
<br />50
<br />'5517.0•,2224.3
<br />.4097:1'
<br />50
<br />'6234.'6
<br />2737.9
<br />-'-50
<br />7054.5
<br />3358.5
<br />88f I
<br />_5533:1
<br />22W505`
<br />r
<br />'6252.8
<br />2751.3
<br />102 77075:-5'
<br />9694':77
<br />3374.9
<br />16
<br />:5549,2;
<br />2246.7
<br />10
<br />6271.1
<br />2764.8 '
<br />< CIO
<br />9727.0;
<br />'3391.2
<br />20
<br />;5565.4.
<br />2258.0 _
<br />';•' 20
<br />•6289.4
<br />2778.3
<br />.`7096,6
<br />20
<br />7117:8
<br />'3407,7
<br />30
<br />''5581.6
<br />2269.3 -
<br />30
<br />6307.9
<br />2792.0
<br />$0
<br />7139.0
<br />'342:1.3
<br />40
<br />8597:8
<br />2280.6
<br />40
<br />6326.3'
<br />2805.6
<br />'40
<br />'7160.3.
<br />'3440.9
<br />50
<br />'5614.2;
<br />2292.0
<br />56
<br />6344.8
<br />2819,4
<br />50
<br />7181.7
<br />'3457.6
<br />88 '
<br />'5630.5,
<br />2303:5
<br />96 -
<br />6363.4
<br />2833.2
<br />103' -
<br />7203.2
<br />3474.4
<br />'=20
<br />'6646,9
<br />2315.0
<br />'
<br />10
<br />'63382.1
<br />2847.0 .
<br />=• 10
<br />7224.7
<br />-3491.3
<br />110.
<br />•5663.4
<br />2326.6
<br />20
<br />6100.8
<br />28G1.0.20
<br />120
<br />7246:3
<br />3503.2
<br />" 30
<br />t.; ';5696:4'
<br />..5G79.9
<br />2338,2
<br />30
<br />G419.5
<br />2875.0 .
<br />30
<br />'7268.0
<br />'3525,2
<br />40
<br />50
<br />5713.0,
<br />2349.8
<br />2361.5
<br />40
<br />6438.4
<br />2889.040
<br />20':::'9991-,0,'
<br />7289.8
<br />3542.4
<br />.
<br />i
<br />4322.4°
<br />.--50
<br />6457:3
<br />2903.1 -
<br />-'50
<br />.7311,7
<br />3559.6
<br />90. 1
<br />5729:7'
<br />2373.3
<br />.97.
<br />'6476:2
<br />2917.3
<br />104»'--
<br />M3.6
<br />3576.8
<br />t 10
<br />. 5746.3'
<br />2385.1
<br />•"10
<br />'6495.2
<br />2931.6 "
<br />16
<br />7355.6
<br />,3594.2
<br />20
<br />5763.1:
<br />`
<br />2397,0
<br />20
<br />6514:3
<br />2945.9 :
<br />20
<br />7377.8
<br />3611.7
<br />30
<br />5779.9
<br />2303.9
<br />30
<br />6533.4
<br />2960.3
<br />30
<br />7399.9
<br />:3029.2
<br />40
<br />5796.7;
<br />2420.9
<br />40
<br />6552:6
<br />2974:7
<br />40 '
<br />-'7422:2
<br />3646.8
<br />50
<br />5813.6
<br />'2432.9
<br />50
<br />6571.9
<br />2989.2 '
<br />.: 50 ;'
<br />7444.6
<br />•3664.5
<br />91
<br />5830.5:
<br />2444,0
<br />98'x-
<br />659!:2
<br />3003.8
<br />105 ''
<br />7=167.0
<br />3682.3
<br />�' • 10
<br />, 5847.5'
<br />2457,1 '
<br />' • 10
<br />6610.6.
<br />3018.410
<br />'7 .189, 6
<br />3700.2
<br />20.
<br />5864.6
<br />2469,3
<br />20
<br />6630,1;
<br />3033.1'
<br />„ 20
<br />7312:2
<br />3718.2
<br />30
<br />5881.7
<br />2481,5 .%
<br />30
<br />66496
<br />3047.9
<br />30
<br />7534.9.
<br />3736.2
<br />x.5898.8
<br />'2493,8:
<br />ti•' 40
<br />-6669.2
<br />3062.8
<br />40
<br />7557.7
<br />3754.4
<br />50'
<br />5916:0
<br />'2506,1•
<br />'• 50
<br />6688.8
<br />3077.7
<br />50
<br />7580.5
<br />3772.6
<br />Corrections to 'be 'Added (T=Tangent: 'E:=ExternaY.)
<br />Int::
<br />Angle'
<br />Curve 5°
<br />10''
<br />15°:
<br />20°;
<br />25 0
<br />30°
<br />`35°
<br />,40°
<br />45°'
<br />S0°
<br />•55°
<br />'60°
<br />65°
<br />:70°
<br />I'
<br />V=.33 1
<br />.66
<br />1.00
<br />1.33.
<br />1:68'
<br />2.02
<br />2.36
<br />12.70
<br />3.05
<br />3.40
<br />3.77
<br />'4.14
<br />4.55
<br />4.89
<br />20,
<br />E =,128
<br />.259
<br />.391
<br />.524
<br />.657
<br />.790
<br />•92611.06
<br />,3827:9'
<br />3846:5
<br />1.20
<br />1.34
<br />1.47
<br />1.62'
<br />1,76
<br />1,91.
<br />90°
<br />T=.36
<br />.72
<br />1.09
<br />1.45
<br />1.83.
<br />2.20
<br />2.571•
<br />2.94.
<br />3.32
<br />.3.70
<br />4.10
<br />4.50
<br />4.91
<br />5.32
<br />50
<br />E=.149 '...299
<br />5210.3
<br />.450
<br />..603
<br />.756
<br />.910-
<br />1.07.
<br />1.22
<br />1,38
<br />.1.54
<br />1.70
<br />1:87
<br />2.03
<br />2.20
<br />95°
<br />T=,39
<br />.79
<br />1.19
<br />1.55
<br />2.00
<br />2.40
<br />2.80'
<br />3.20
<br />3.61
<br />4.02
<br />4.49
<br />4.08-15.38
<br />-9411.3'
<br />5.83
<br />30.
<br />E =:174
<br />350
<br />.522
<br />.706
<br />.985
<br />1.08
<br />1.25
<br />1.43
<br />11.62
<br />'1.80
<br />1.99
<br />2.18
<br />2.38
<br />2.58
<br />;100°
<br />T=,43 •.:
<br />�E
<br />.86:
<br />1.30
<br />1.74
<br />2.18-2.62
<br />;50.
<br />3.06
<br />3.50
<br />50`
<br />9504.4.
<br />4.88
<br />5.37
<br />5.85
<br />6.34
<br />=.200
<br />'.401
<br />.604
<br />.809
<br />1.01
<br />1.22
<br />1.43
<br />1.64
<br />13.05-14.40
<br />1.85
<br />2.06
<br />2.28:
<br />2.50
<br />2,73
<br />2.96
<br />-10
<br />T=.46
<br />.94
<br />1.42
<br />1.90
<br />2.38
<br />2.87
<br />3.34 13.84
<br />5422.1
<br />14.3,51-4.84
<br />7934:6
<br />5.35
<br />5.87 ,
<br />6.40
<br />6.93
<br />E=.230.:
<br />.470
<br />.700 .938
<br />1.17
<br />1.42
<br />1.65
<br />1.90
<br />12.14
<br />-139
<br />2.61,
<br />2.90
<br />3.1 6
<br />3.41
<br />tin a
<br />TAal.l: I. - Tangents and Externals to a-1° Curve.
<br />Choid=100 ft.
<br />Int. '
<br />Angle..
<br />'.Tangent
<br />_..
<br />External
<br />Iat•
<br />Angle
<br />Tangent
<br />External
<br />_
<br />' Int. ..'
<br />Angle.
<br />Ta gent
<br />External
<br />106P
<br />_7603.5
<br />3791:0-.111°
<br />8336.7,
<br />.4380.1,'116°'
<br />9169.4
<br />._5082.7:
<br />10'
<br />7626:6.
<br />3809.4'
<br />10';
<br />8362,7,;4407.6;
<br />3.06
<br />; 10'
<br />9190.1
<br />5107.9
<br />20
<br />7649:7•
<br />.401 .604
<br />20,
<br />8388.9-
<br />'4429..2;':'„
<br />20
<br />9229.0
<br />;5133.3
<br />:..:30.,.7672;.9
<br />T=.46
<br />,3827:9'
<br />3846:5
<br />30
<br />8415.1,
<br />4450_9
<br />:, 30..,9259.0
<br />4.84 5.35 5.87
<br />5158,8
<br />40
<br />'.7696:3
<br />3866.2
<br />40
<br />%8441'.-5
<br />4472:71,'__•
<br />40.
<br />9289.2
<br />'
<br />5184.5
<br />.x50,
<br />7719:7.
<br />3884.-0
<br />50
<br />8468.0,
<br />449,4:.6'
<br />50
<br />9319.5
<br />5210.3
<br />107
<br />7743.2`
<br />;3902.9
<br />112 -
<br />. 8494.6'
<br />4516.6
<br />117
<br />9349-.9
<br />5236.2
<br />.,
<br />10
<br />7766.8
<br />'3921.9
<br />10
<br />"8521:3'.
<br />4538.8
<br />: 10
<br />9380'.5
<br />5262.3
<br />'20•
<br />E=.307
<br />•3940.9
<br />20
<br />8548:1
<br />4561.1
<br />20•
<br />-9411.3'
<br />5288.6
<br />30.
<br />,7790.5.
<br />7814:3
<br />"3960.1
<br />30,
<br />8575.0
<br />4583.4
<br />30
<br />9442.2:
<br />5315:0
<br />4.0.,
<br />_'7838:1
<br />3979A
<br />40
<br />8602.1'`;4606.0'
<br />2.E6
<br />40''
<br />-9473-.2,
<br />5341.5
<br />501
<br />7862:1
<br />1
<br />3998.7
<br />;50.
<br />'8629.3:.4628:;6
<br />50`
<br />9504.4.
<br />5368.2
<br />-
<br />•108'7886
<br />2•
<br />4018.2
<br />113.; '-
<br />8656.6 '
<br />.4651:3
<br />118
<br />9535.7.
<br />5395.1
<br />-10
<br />:•7910.4
<br />4037:8
<br />:-;101
<br />-8684.0
<br />4674:2,-
<br />10 ••9567.2-
<br />5422.1
<br />' 20
<br />7934:6
<br />4057:4
<br />20`
<br />8711.5.-'4697.2
<br />9598.9'
<br />5449.2 _
<br />630"
<br />7059-0
<br />4077.=2
<br />30
<br />8739.2••4720.3
<br />30,
<br />•.9630.7.
<br />5476.5
<br />40=
<br />7983:5'
<br />.4097:1'
<br />40
<br />8767.0-.
<br />4743.6
<br />'" 40::
<br />9662.6'.
<br />5504.0
<br />50'
<br />t5008:0_
<br />,4117101
<br />50
<br />8704.9
<br />4766.9
<br />:50'
<br />9694':77
<br />5531.7
<br />109,
<br />8032.7
<br />4137.1
<br />114 .
<br />8822.9
<br />4790.4
<br />119
<br />9727.0;
<br />5559,4
<br />10'
<br />8057.4.
<br />4157.3
<br />:10
<br />8851.0
<br />4814.1
<br />-10 ,•_9759.4-_
<br />5587,4
<br />20.
<br />8082.3
<br />4177.5'
<br />= 20.
<br />8879-:.3
<br />4837:8
<br />20
<br />9792,0 ,
<br />5615.5
<br />30
<br />•,8107:3'
<br />4197.9
<br />30
<br />8907.7
<br />4861.7,
<br />30
<br />9824.8_
<br />5643,8
<br />40.
<br />8132.3
<br />40
<br />8936.3.
<br />4885.7
<br />.40.
<br />9857.:7
<br />5672,3.
<br />50,
<br />,.8157:5'
<br />,4218.4:
<br />4239,.0
<br />50
<br />8965.0
<br />4909:0
<br />c50 ;_0800,.8.
<br />5700.9
<br />IN u
<br />110.
<br />8182.8
<br />•4259.7
<br />115
<br />`8993.8'
<br />49341
<br />120
<br />9924 0:
<br />5729.7
<br />10.
<br />8208.2•
<br />'4280.5
<br />' 10
<br />9022..7:
<br />'4958.6 r
<br />= r ,10
<br />995715;;
<br />5758.6.
<br />20
<br />8233:7
<br />4301.4"
<br />20
<br />9051.7
<br />,4983.1
<br />20':::'9991-,0,'
<br />5787:7 -
<br />-30.
<br />8259.3
<br />4322.4°
<br />30
<br />9080.9
<br />5007.8
<br />30.e
<br />10025'.0;'
<br />5817.0
<br />40,'.
<br />` 8285:0,
<br />4343.,G
<br />'---40
<br />`9110.3
<br />:5032.-G
<br />, '.40
<br />10059.0
<br />5846.5
<br />50
<br />8310:3
<br />•
<br />4364'.$ :
<br />' 50
<br />9120:8•
<br />5057.6
<br />;_ "'.50
<br />10093, 0'
<br />5876A
<br />is
<br />Corrections to be Added (T' =Tangent.' E=External.)
<br />Int
<br />Curve 5°
<br />.10°; 15°
<br />20° 25°
<br />30°
<br />'35°
<br />40° 45°
<br />..50° 55° ;60°
<br />65° 70°
<br />Angle
<br />'
<br />T =.43
<br />.86 1.30
<br />1.74 2.18
<br />2.62,
<br />3.06
<br />3.50 3.95
<br />4.40 4.88 5.37.
<br />5.85 "6.34
<br />100o' -
<br />E=.200
<br />.401 .604
<br />.809 1.01
<br />1.22
<br />1.43
<br />1.64 1.85-
<br />2.08 2.28 2:50
<br />2.73 2,96
<br />T=.46
<br />1.42
<br />1.90 2.38
<br />2.87
<br />3.34
<br />3,84 4.35
<br />4.84 5.35 5.87
<br />6.40 6.93
<br />105° '
<br />E =.230 .
<br />.'.94
<br />.470 .700
<br />.938 1.17
<br />1.42
<br />1.65
<br />1.90 2.14
<br />.2.39 2.64 2.90
<br />3.16 3.41
<br />T=.50
<br />1.03 1.55
<br />2.08 2.60
<br />3.14
<br />3.661
<br />421 4.76
<br />5.31 5.86 6.43
<br />7.01 7.59
<br />110°
<br />E=.260
<br />.535 .808
<br />1.08 1.36
<br />'1.63
<br />1.91
<br />2.19 2.49
<br />2.61 3.05 3.35
<br />3.65 3.95
<br />T'=.54
<br />1.13 1.70
<br />2.29 2.86
<br />3.45
<br />4.03
<br />4.63 5.23
<br />5.83 6.44 7.07
<br />7.70 8.35
<br />115°,
<br />E=.307
<br />'.624 .939
<br />L26 I.57
<br />'1.89
<br />2.21'
<br />2.54 2.87
<br />3.20 3.53 3.88
<br />4.23 4'.58
<br />T=.81
<br />1,25 1.89
<br />2.52 3.16
<br />3.81
<br />4.44
<br />5.11 5.78
<br />6.44 7,11 7.80
<br />8.51 9.21
<br />120°':
<br />E=.339
<br />:720 1.08
<br />1.45, 1,.C2
<br />2.20
<br />2.E6
<br />2,5 3:33
<br />.3.72 4:10 4.50
<br />4.91 5.32
<br />
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