|
VI TABLE I.-= Tangents and-Externals'to a 1° Curve:
<br />Choi•d:=100' ft:
<br />Int•
<br />' Angle
<br />Tangent
<br />'i
<br />External
<br />. Int..
<br />'-Angle ,.
<br />Tangent
<br />-
<br />Exter¢al
<br />Int. _
<br />1 Angle -
<br />Tangent
<br />•
<br />External
<br />85°
<br />5253.3
<br />2041:7
<br />192° '
<br />'5933.2
<br />2518.5
<br />99°
<br />6708:6,
<br />3092'7
<br />:=10'
<br />5265.6
<br />2052.1
<br />10'
<br />5950.5
<br />2531.0
<br />10'
<br />.6728:4
<br />'3107.7
<br />.20
<br />°5281:0,
<br />2062.5
<br />-"20•
<br />5967.9
<br />2543.5
<br />20
<br />6748:2
<br />3122.9
<br />30
<br />,529 6.4
<br />2073.0 .
<br />30
<br />5935.3
<br />2556.0
<br />30
<br />6768.1
<br />3138.1
<br />:40
<br />5311:9:
<br />2083.5
<br />1 1'40
<br />'6002:7
<br />2568,6
<br />40
<br />'6788.1;
<br />3153.3
<br />'60
<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 />'93 !'(
<br />16037.8
<br />2594.0
<br />100 '
<br />`.G828:3
<br />3184.1
<br />'10
<br />;5358.6
<br />2115.3
<br />10'
<br />6055.4
<br />2606,8
<br />.10
<br />6848:5
<br />3199.6
<br />'.'.:20
<br />5374.2
<br />2126.0'206073.1
<br />20,'
<br />4.49
<br />2619.7
<br />20
<br />6868:8'
<br />3215.1
<br />30
<br />'5389.9.
<br />2136.7
<br />30"
<br />6090 i8
<br />2632.6
<br />30
<br />=6889.2
<br />3230.5
<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 />5421.4,
<br />2158.4
<br />i '50-
<br />6126.4
<br />2653.5
<br />;50
<br />•6930.1
<br />3262.3
<br />r87'::
<br />'5437.2
<br />i
<br />2169.2"91
<br />E =.200
<br />6144:3
<br />2671:`6
<br />101-'.
<br />6950.6
<br />3278.1
<br />"10
<br />;545311
<br />2180.2 '
<br />10
<br />6162.6
<br />2684.7
<br />•' 10
<br />.6971:3
<br />8294.1
<br />20
<br />.5169:0.
<br />2191.1
<br />20
<br />•6180.2
<br />2697.9
<br />-,:_20
<br />6992.0
<br />3310.1
<br />30
<br />'5484.9
<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 />G216.4
<br />2724.5 i
<br />L-40
<br />-7033.6
<br />3342.3
<br />50
<br />5517.0;
<br />2224,3
<br />-50:
<br />6234.6
<br />2737,9 ;
<br />:' '"50
<br />7054.5
<br />3358.5
<br />68
<br />5533.1.
<br />2235.5
<br />'95
<br />6252:8
<br />2751.3
<br />102* `
<br />'7075.5'
<br />3374'39
<br />10
<br />5549.2
<br />2246.7
<br />10
<br />6271':1
<br />2764.8 .
<br />10
<br />.7096:6.
<br />3391.2
<br />20
<br />5565.4
<br />'2258.0
<br />20
<br />6289:4
<br />2778.3
<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 />80
<br />7139.0.
<br />3424.3
<br />40
<br />.5597.8'
<br />2280.6
<br />40
<br />6326.3
<br />2805.6 ;
<br />40
<br />7160.3
<br />'3440.9
<br />`60
<br />5614.27
<br />2292.0
<br />50
<br />6344.8
<br />2819,4
<br />`50
<br />7181.7
<br />3457.6
<br />x,89 '•
<br />'563d.5
<br />2303:5 '
<br />'96 `.
<br />6363:4
<br />2833:2
<br />103"
<br />'7203.2
<br />3474:4,
<br />:'10
<br />,5646:9
<br />2315.0
<br />10
<br />6382.1
<br />2847.0
<br />10
<br />97224.7
<br />'3491.3
<br />20
<br />' 5663:4!
<br />2326.6 '
<br />20.
<br />6400:8
<br />2861.0
<br />: 20
<br />7246.3
<br />'3503.2
<br />`30
<br />5679.9:
<br />2338.2
<br />-•30
<br />'6419.5
<br />2875.0 .
<br />30
<br />'-7268:0
<br />+3525.2
<br />405696:4
<br />.8259.3
<br />2349,8
<br />40
<br />6438.4
<br />2889.0 ;
<br />40
<br />.7289.8.
<br />'3542.4
<br />�60
<br />5713.0
<br />2361,6
<br />56
<br />!6457.3
<br />2903.1'
<br />150
<br />"7311:7
<br />•3559.6
<br />90
<br />-5729•:7
<br />2373.3.
<br />97' :
<br />''6476.2:
<br />2917.3 !
<br />104 `
<br />7333.6
<br />3576.8
<br />110 '
<br />? 5746.3:
<br />2385,1
<br />.-'16
<br />'•6495.2
<br />2931.6
<br />10
<br />' 7355.6
<br />,3594.2
<br />20
<br />5763:1
<br />2397.0
<br />-• '20
<br />G514.3
<br />2945.9
<br />20
<br />7377:8
<br />3611.7
<br />" 30
<br />' 5779.9,
<br />2408.9 '
<br />30
<br />6533.4
<br />2960.3
<br />30
<br />7399 9
<br />3629.2
<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 />•2432.9y
<br />50
<br />6571.9
<br />2989.2-
<br />,50 ..7444.6
<br />f3664.5
<br />J,
<br />91'
<br />5830.5
<br />y
<br />2444.91
<br />-'98'
<br />=6591:2
<br />3003.8.
<br />105' :
<br />'7467'.0'
<br />3682:3
<br />10 '
<br />5347.5
<br />2457.1 '
<br />_ 10
<br />` 6610.6
<br />3018.4
<br />• 10
<br />7189.6
<br />"3700.2
<br />20,'5864'.6
<br />2469.3
<br />20
<br />6630.1;
<br />3033.1
<br />--','20
<br />-7512.2
<br />;3718.2
<br />30
<br />5881.7
<br />2481.5,
<br />-' :30 ',6649:6
<br />3047.9
<br />•'' 30
<br />7534:9.
<br />'3736.2
<br />.-40
<br />•5398.8
<br />2493.8
<br />•40
<br />'6669.2
<br />3062.8
<br />-• 40
<br />7557-,7
<br />'3754,4
<br />-50;
<br />5916.0
<br />2506.11
<br />=• 50
<br />16688.8
<br />3077.7+
<br />50
<br />7580.5
<br />3772.6
<br />s s,-. `Corrections to -be-Added ,(T = Tangent: E. = External.)
<br />Int.
<br />l; Ant.
<br />Curve 5°
<br />10°
<br />15°
<br />•20°-
<br />25*-
<br />30°
<br />35'
<br />40°
<br />45°-
<br />50°•
<br />55°
<br />69°
<br />65°
<br />:70°
<br />116°'•*
<br />� T=.33
<br />.'.66
<br />1.00'
<br />1.33 '
<br />1.68
<br />2.02
<br />2.36;
<br />M0,13.05
<br />10!:,
<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 />926
<br />1.06
<br />11.20'
<br />1.34.,.1.47
<br />4450.9
<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 />2.57
<br />2943.32
<br />(1.38
<br />3.70
<br />4.10
<br />4'.50
<br />491
<br />5.32
<br />50•.
<br />E =.149
<br />.299
<br />.450
<br />.603
<br />..756
<br />.910
<br />1.07.
<br />1,22
<br />'117
<br />1.54
<br />1.70
<br />1.87
<br />2.03
<br />2.20
<br />•9s
<br />=T=39
<br />79
<br />1.19
<br />11.55
<br />2:00, 2:40
<br />2.80
<br />3.20
<br />3940:0
<br />20,'
<br />4.49
<br />4.98
<br />5.38
<br />5.83
<br />5288.6
<br />E=A74'.
<br />..350
<br />.522
<br />,.706
<br />.985
<br />1.06
<br />1.25
<br />1,43
<br />13.61]:4.02,
<br />.1.62
<br />1.80'
<br />1.99
<br />2.18:2.38
<br />40
<br />2.58
<br />100°
<br />i T =.43
<br />86
<br />1.30
<br />1.74
<br />2.18,
<br />2.62'
<br />3.06 13.50,13-.95.1-4.40
<br />8629.3
<br />4628.6
<br />,50
<br />4.88
<br />'5.37.
<br />5.85
<br />6.34
<br />1.25
<br />E =.200
<br />.401
<br />.604
<br />.809
<br />1,01
<br />1.22
<br />1.43
<br />1,64
<br />1,85
<br />.2.06
<br />2.28
<br />2.50.
<br />2.73
<br />2.96
<br />105°
<br />T=.46
<br />.94
<br />1.42
<br />190
<br />2.38
<br />2.87
<br />3.34
<br />3:84
<br />14.35
<br />1 4.84
<br />5.35
<br />5.87.
<br />'6.40
<br />693
<br />i
<br />E =.230
<br />.470
<br />.700 ,X38
<br />1.17
<br />1.42
<br />1.65
<br />190
<br />2.14
<br />2.39
<br />2.64
<br />2.90.
<br />3.16
<br />3.41
<br />TA13LE I. - Tangents and Externals to a 1° Curve. : VII
<br />Chord = 100 'f
<br />-Int.
<br />,Angle
<br />`Tangent
<br />External
<br />'Int.-
<br />_ .Angle
<br />Tangent
<br />External
<br />Int.
<br />•,Angle..
<br />i
<br />Tangent,
<br />External
<br />106° ;;.
<br />•-7603:5
<br />3791.0-
<br />111°
<br />,8336.7
<br />4386.I'
<br />116°'•*
<br />9169:-4.
<br />-5082.•7
<br />• 10'
<br />7626.6
<br />3809.4
<br />10';8362.7
<br />4.40
<br />.4407.6
<br />10!:,
<br />` 9199.1;
<br />5107.9 .
<br />20.:
<br />7649.7
<br />3827:9
<br />20
<br />8388.9
<br />4429.2
<br />20
<br />9229.0
<br />-5133.3
<br />30.
<br />7672:9'
<br />3346.5
<br />30
<br />8415.1.
<br />4450.9
<br />30
<br />9259.0=
<br />5158.8
<br />40
<br />7696:3
<br />'3865.2
<br /><, 40
<br />8441.5
<br />4472.7
<br />40_.
<br />9289.2:
<br />5184.5
<br />50,
<br />_
<br />:7719.7
<br />3884.0
<br />_
<br />50
<br />8468.0
<br />4494.6
<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 />93494_.
<br />5236.2 -
<br />236.210
<br />to:
<br />4.76
<br />3921.9
<br />- 10.
<br />8521.3
<br />`4538.8
<br />-10:
<br />9380:5
<br />5262.3
<br />20-
<br />.7766.8.
<br />3940:0
<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 />40,
<br />7838.1'-
<br />3979.4
<br />40
<br />, 8602:1
<br />46106.0
<br />.- 40
<br />9473:2�
<br />5341.5
<br />'50
<br />'7862.1,
<br />3998.7.
<br />50,
<br />8629.3
<br />4628.6
<br />,50
<br />9504.4
<br />5368.2
<br />T=.61
<br />1.25
<br />1.89
<br />2.52
<br />3.16
<br />3.81 4.44
<br />b.11
<br />5.78
<br />1087880.2
<br />7.1q7.80
<br />4018.2
<br />113
<br />8656.6
<br />"4651:3
<br />118:
<br />9535.7.
<br />5395.1
<br />y +-••10
<br />7910:4;
<br />4037.8
<br />10
<br />8684.0
<br />4674.2'
<br />- 10.
<br />9567.2
<br />5422.1
<br />20
<br />7934'.6
<br />4057-A
<br />20
<br />8711.5
<br />4697:2
<br />20'::
<br />9598'9
<br />5449.2.
<br />30'
<br />7959.0'
<br />'4077:2'
<br />'30
<br />8739.2.
<br />4720.-31'
<br />:30:
<br />..9630.7
<br />5476.5
<br />` r40
<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 />' 8003:0
<br />4117.0
<br />:50
<br />` 8794:9:
<br />4766:9
<br />'50' ..
<br />9694..7, ,
<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 />610:
<br />'8057.4
<br />10
<br />8851.0
<br />4814.1
<br />10
<br />9759,.4
<br />5587.4
<br />20=
<br />8082:3
<br />.4157.3
<br />4177.5
<br />20,
<br />8879.3
<br />4837..8
<br />20'
<br />'9792.0:
<br />5615.5
<br />,:.007
<br />88107:3
<br />,4197.0;
<br />.. 30
<br />8907.7
<br />4861.7
<br />30 .
<br />9824.8
<br />5643.8
<br />:40;
<br />4218.4
<br />40
<br />8936.3
<br />4885:7:
<br />40
<br />9857.7
<br />5672.3
<br />_50:
<br />,8132:3'.
<br />8157:5.50
<br />50
<br />8965. 0,
<br />4909.9
<br />50 :
<br />9390:8
<br />5700.9
<br />110.,
<br />"8182:8`
<br />4259.7
<br />•115
<br />8993.8
<br />4934 :1:
<br />120"
<br />24
<br />99,0 '
<br />5729.7
<br />10,
<br />-8208.2
<br />•4280:5
<br />10'
<br />9022.7
<br />4958.6
<br />10
<br />''9957.5:
<br />5758.6
<br />_20.
<br />.8233.7.1
<br />4301.4
<br />20
<br />.9051.7
<br />4983.1
<br />20'
<br />9991':0
<br />,5787:7
<br />t' .•30'
<br />.8259.3
<br />432224'
<br />30
<br />19080.9
<br />5007:8
<br />30 -
<br />10025.0.
<br />5817.0
<br />40'
<br />8285.0
<br />4343.6 :'
<br />40
<br />-9110:3
<br />5032.6
<br />„ ' 40-.10059.0„
<br />5846.5
<br />50:
<br />8310.8
<br />4364.8
<br />50
<br />.9139.8
<br />5057.G
<br />50
<br />10093.0
<br />5376.3
<br />Corrections to be Added (T=Tangent. E=External:) ..
<br />IntAngle
<br />, Curve 5°
<br />10°
<br />15°
<br />29°
<br />25°
<br />30° 35°
<br />40°
<br />. 45°
<br />50°
<br />556
<br />60°
<br />65° 70°
<br />T=.43
<br />:86
<br />1.30
<br />1.74
<br />2.18
<br />2.62 3.06
<br />3.50
<br />3.95
<br />4.40
<br />4.88
<br />537
<br />5.85 6.34
<br />jod°-.
<br />E=.200
<br />:401
<br />.604
<br />.809
<br />1,01
<br />1.22 1.43
<br />1,64
<br />1.85
<br />2.06
<br />2.28
<br />2.50
<br />2.73 2.96
<br />T=46
<br />1.42
<br />1.938
<br />105°
<br />_;230.
<br />.700
<br />'.470
<br />1.17
<br />1.42 1.65
<br />1.90
<br />214
<br />2.39
<br />2.64
<br />2.90
<br />3.16 :3.41
<br />T=•50
<br />1.03
<br />1.55
<br />2.08
<br />2.60
<br />3.14 3.66
<br />4.21
<br />4.76
<br />5.32
<br />5.86
<br />6.43
<br />7,01 7:59
<br />110°',
<br />E=.260 .
<br />'.535
<br />.808
<br />1.08
<br />1.36
<br />1.63 1.91
<br />2.19
<br />2:49
<br />2.61
<br />'3.05
<br />3.35
<br />3,65 3.95
<br />T=.54
<br />1.13
<br />1.70
<br />2.29
<br />2.86
<br />3.45 4.03
<br />4.63
<br />5.23.
<br />5.83
<br />6:44
<br />7.07
<br />7;70 8.35
<br />115°_
<br />E =,307
<br />:624
<br />.939
<br />1.26
<br />1.57
<br />1.89 2.21
<br />2.54
<br />2.87
<br />8.20
<br />3:53
<br />3.88
<br />4,23 4:58
<br />T=.61
<br />1.25
<br />1.89
<br />2.52
<br />3.16
<br />3.81 4.44
<br />b.11
<br />5.78
<br />6.44
<br />7.1q7.80
<br />8.51
<br />120°
<br />E=.339
<br />.720
<br />1.03
<br />1.45
<br />1.82
<br />2.20 256
<br />2.95
<br />3.33'3.72
<br />4:1:4.50
<br />4.91 5.22
<br />n
<br />
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