|
VI TABLET.- Tangents and Externals; to a 1° Curve.
<br />Chord =100' ft:
<br />Int.Int.
<br />' Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />Externa]
<br />Int. ,
<br />"Angle
<br />Tangent,
<br />External
<br />85°" =
<br />'5250:3
<br />2041':7
<br />92°'"'i
<br />5933:2
<br />251815
<br />;990'
<br />6708'.6
<br />309277
<br />10'
<br />'5265:6
<br />2052.1
<br />16'
<br />^9505
<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 />0748.2
<br />3122.9
<br />" '•30
<br />"
<br />.5296.4
<br />2073.0
<br />30
<br />'5985:3
<br />2556.0
<br />1 30
<br />6768.1
<br />3138.{1
<br />40
<br />`5311.9
<br />2083.5
<br />40'
<br />6002•.7
<br />2568.6
<br />i "'40'
<br />G788:1
<br />3153.3
<br />50
<br />5327:4
<br />2094.1
<br />: 50-
<br />6020:2
<br />2581.3
<br />".T:50.
<br />;6808:2
<br />3168.7
<br />86 "
<br />45343:0:
<br />2104':7
<br />93'.:;
<br />6037.8
<br />2594.0
<br />100' "
<br />.6828:3
<br />3184:1
<br />.10
<br />.5353:6.
<br />2115.3
<br />.' 10'
<br />6055.4`
<br />2606.8
<br />110
<br />:6848.5
<br />3199.6
<br />'20
<br />`•5374.2
<br />2126.0
<br />20'
<br />6073.1
<br />2619.7
<br />_`20
<br />`G868.8
<br />3215.1
<br />-30
<br />:5389.9
<br />2136.7
<br />30.
<br />6090.8
<br />2632.6
<br />30
<br />•GS89.2
<br />3230.8
<br />40
<br />$105:6
<br />2147.5
<br />40`
<br />6108.6
<br />2645.5
<br />40
<br />.10909:'0
<br />3346.0
<br />50
<br />`5421.4
<br />2158.4
<br />' 450.
<br />6126:4
<br />2658.5
<br />50
<br />6930.1
<br />3262.3
<br />'87 "r
<br />`5437:2'
<br />2169.2
<br />94-:'__'
<br />6144.3
<br />2371:6
<br />101.'
<br />'.6950.6
<br />327831
<br />10
<br />5453.1'
<br />2180.2
<br />};,1.10:
<br />6162.6
<br />2684.7
<br />•.110
<br />16971.3:
<br />3294.1
<br />" 20
<br />'5469.01
<br />2191.1
<br />20'
<br />6180.2
<br />2697.0
<br />20
<br />16992.0
<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 />S.' 40
<br />5500.9
<br />2218.2
<br />^ 1'40.
<br />6216:4
<br />2724.5
<br />40
<br />(7,033:6
<br />3342.3
<br />' •-':50
<br />'5517:0'
<br />i
<br />2224.3
<br />., 50
<br />6234.6
<br />2737.9
<br />L 50
<br />17054:5
<br />3358.5
<br />;88`-.
<br />5533:1'
<br />223575
<br />95,' t
<br />' 6252.8
<br />2751:3
<br />102 :1
<br />7075.5
<br />3374:9
<br />10
<br />5549.2
<br />2246.7
<br />101
<br />6271.1
<br />2764.5
<br />• 10
<br />1090.6
<br />3391.2
<br />20
<br />15565.4,
<br />2258.0
<br />20"
<br />6289.4
<br />2775.3
<br />1 20
<br />%7117.8
<br />3407.7
<br />30
<br />5581:G
<br />2209.3
<br />301
<br />6307.9
<br />2792.0
<br />30
<br />17139.0
<br />3424.3
<br />'4015597.8;
<br />8107:3
<br />2280.0
<br />40
<br />6320.3
<br />2805.6
<br />40
<br />7160.3
<br />3440.9
<br />J.`' 50
<br />15614.2,
<br />2292.0
<br />50_
<br />6344.8
<br />i
<br />2819.4
<br />-150
<br />:7131:7
<br />3457.6
<br />'89 -*
<br />5630.5.
<br />2303:5
<br />96'
<br />I
<br />6363.4
<br />2833.2
<br />103 'i
<br />'7203.2
<br />3474:4
<br />".s'10
<br />5646.9
<br />2315.0
<br />_ M
<br />6382.1
<br />2847.0
<br />10
<br />7224.7
<br />3491.3
<br />.1 20.566374-
<br />8208.2'
<br />2326.6
<br />20:
<br />G100.8
<br />2361.0
<br />.20
<br />..7246.3
<br />3508.2
<br />- 30
<br />5679.9,
<br />2338.2
<br />30.
<br />0419.5
<br />2375.0
<br />'30
<br />7268.0
<br />3525.2
<br />40
<br />5690:4
<br />2349.8
<br />.•'40:
<br />-6438.4.
<br />2889.0
<br />40
<br />:7289.8
<br />3542.4
<br />' :':50
<br />5713.0
<br />2361.5
<br />50'
<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 />2017:3
<br />104:''
<br />i7333'.G
<br />3576:8
<br />10
<br />'5746:3
<br />2385.1
<br />10:
<br />6495.2
<br />2931.6
<br />.10
<br />1,7355.6
<br />3594.2
<br />20
<br />'5763.1
<br />2397.0
<br />20'
<br />6514.3
<br />2945.9
<br />20
<br />17377.8
<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 />2420.0
<br />40'
<br />6552.6
<br />2974.7
<br />40
<br />:7422:2
<br />3646.8
<br />12 50
<br />5813:6
<br />2432.9
<br />50.
<br />'6571.9
<br />2989.2'
<br />50
<br />7.144.6
<br />3064.5
<br />X5830:5
<br />2444:9
<br />99- -
<br />6591.2
<br />3003'.8
<br />105'.'
<br />7167:6
<br />3682.3
<br />:'10
<br />5847:5
<br />2457.1
<br />10'
<br />6610.6
<br />3018.4
<br />10
<br />7489.0
<br />3700,2
<br />v 20
<br />5864.6
<br />2469.3
<br />20
<br />6630'.1
<br />3033.1
<br />r 20
<br />7512.2
<br />3718.2
<br />•-30
<br />15881.7
<br />2481.5
<br />39
<br />6649.6
<br />3047.9
<br />30
<br />.7534:9
<br />3736.2
<br />40
<br />5898.8
<br />2403.8
<br />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 />7530.5
<br />3772.6
<br />Corrections to be Added -(T =Tangent.- E. = External.)
<br />>ngle= • Curve 5° "- 10° •.15° ° 20° 25° : -30°
<br />,35° '40°
<br />S. 50° 'S5° 60°- 65° . 70°
<br />T=.331 66. 1.00 1.33 1:682.021
<br />2:36 2.70
<br />3.05 3.40 3.77 4:14. 4.55 4:89
<br />11.91
<br />E =.128 - .2591' .391 .524 1.6571 .790
<br />.92611.06
<br />1.20 1.34 1.47 .1.62 1.76
<br />90° T=.36 .72 - 1.09 1.45 1:83 •• 2.20
<br />-.450
<br />2.57 2.94
<br />3.32 3.70 4.10 4.50 4.91 5.32
<br />E =.149 .299 .603 .756 .910.
<br />1.07 1.22
<br />1.38 1'.54 1.70 1.87, 2.03 2.20
<br />9-0 .,T =39 .79 1.19 1.55 2.00 2:40
<br />2.80 3.20
<br />3.61 4.02 4.49 4.98. 5.38 15.8
<br />E =.174 .350 -.5221 .706 -.A 1:06
<br />1.25 1:43
<br />1.62 1.80' 1.99 2:18. 2.38 2.58
<br />100° T=.43 86 1:30- 1.74. 2.18. 2.62
<br />3.00 3,50
<br />3.95 4.40 4.88 5.37 15.85 16.34
<br />E=.200 .401 .604 •.809 1.01 1.22
<br />1.43 1,64
<br />1.85 2.06 2.28 2.50 12.7.3 12.96
<br />105° T=.46 .94 1.42 1.90 2.38 2.87
<br />3.34 3.84
<br />4.35 4.84 5.35 5.87 6.40 6.93
<br />E =.230 .470 ..700 X38 1.17 1.42
<br />1.65 1.90
<br />2.14 2.39 2.64 2.00 3.16 3.41
<br />TABLE I. Tangents and Externals to a 1° Curve. ,'VII•
<br />-. -. •Chord-=100=ft:''
<br />Int.:
<br />Angle .
<br />'Tangent
<br />External
<br />Int.Int:
<br />. Angle "
<br />.Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />106°
<br />7603.5
<br />'3791.0,
<br />111°
<br />8336.7,
<br />4386.1
<br />X116°
<br />9169:4
<br />5082.7-
<br />10'
<br />%7626:0,
<br />3809.4
<br />10'
<br />8362::7,
<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 />3846.5
<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.'4472.7
<br />1.01
<br />40
<br />9289.2
<br />.5184.5
<br />50
<br />:7719.7,
<br />3884.0
<br />50
<br />84,68:0•;
<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 />4516.0
<br />117 +'
<br />9349:9.
<br />5236.2
<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 />:7790.5
<br />3940:9'
<br />20
<br />8548.1
<br />4561.1
<br />20
<br />9411.3
<br />5288.6
<br />30.
<br />7814:3
<br />3960.1
<br />30,
<br />8575.0
<br />4583:4
<br />'30
<br />9442.2,'5315.0,
<br />4.21
<br />-40
<br />' 7838.1'
<br />13979.4
<br />'40
<br />8602.1
<br />.460G,040
<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 />3.35
<br />3.65
<br />3.95
<br />115° ,
<br />T=.54
<br />1.13
<br />1.70
<br />2.29
<br />2.86
<br />108
<br />'7886.2
<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 />,4037.5
<br />110
<br />8684.0
<br />4674.42
<br />101
<br />.9567.2
<br />5422.1
<br />20:
<br />'7934.6-
<br />4057.4
<br />20
<br />8711.5"
<br />4697.:2
<br />•_.'_. 20:-
<br />9598'.0
<br />5449,2:
<br />30
<br />..7959:0'
<br />4077:2
<br />30
<br />:8739.2.147202330
<br />5.11
<br />1',•40
<br />.0630.7;
<br />5476,5
<br />"40-
<br />7983'.5•
<br />4097..1
<br />---40
<br />8767-0
<br />4743:0
<br />..0662•.6'
<br />1.45
<br />5504.0
<br />•50=
<br />8008! 0,
<br />4117..0
<br />"e 50
<br />8794.9.
<br />4766.9
<br />-00
<br />9694.7'
<br />5531.7
<br />109-
<br />,803217`
<br />4137.1
<br />114•
<br />8822.0
<br />•4790.4
<br />119
<br />9727•.0'
<br />5559.4
<br />10.
<br />-8057:4
<br />'8082.
<br />4157:3
<br />10
<br />8851.9
<br />4814.1
<br />10
<br />5587.4
<br />20
<br />3
<br />'4177.5
<br />208879:3
<br />4837:5
<br />20
<br />_9759.4•
<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 />'4218.4.
<br />40
<br />.8936.3
<br />4885.7
<br />40 .9857.7
<br />5M.3
<br />50
<br />,8157.5•
<br />'4230.0
<br />50
<br />8965.0''
<br />4909:9
<br />- 50-
<br />9890.8
<br />5700.9
<br />110,
<br />;8182:8
<br />:,4259.7
<br />115
<br />'8993.8
<br />4934'.1
<br />-120
<br />x`10
<br />0924:0.
<br />5729.7
<br />:10-
<br />8208.2'
<br />4280.5
<br />10
<br />9022.7
<br />4958.6
<br />'9957.5'
<br />5758.6
<br />-20,
<br />8233.7'
<br />4301.4
<br />20
<br />'.9051.7
<br />4983.1.
<br />20 -
<br />9991.0.
<br />5787.7
<br />.30
<br />8259.3
<br />-4322.4
<br />30
<br />9050.9
<br />5007.8
<br />,•
<br />'30
<br />10025.0
<br />5817.0
<br />- 40'
<br />8235.0
<br />4343.6
<br />`4364.8
<br />40
<br />-0110.3,
<br />5032:.6
<br />40'-10059.0
<br />5846.5
<br />50
<br />8310.8
<br />50
<br />9139.8
<br />5057.6
<br />- 50'•'
<br />10003.0
<br />5876.11
<br />Corrections to be Added (T =Tangent. E =External.)
<br />Int,Curve15°
<br />Angle
<br />100°
<br />T=.43
<br />'.86
<br />1.30
<br />1.74
<br />2.18
<br />2.62
<br />3.06
<br />3.50
<br />3.95
<br />4.40
<br />4.88
<br />5.37
<br />5.85
<br />'6.34
<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 />-T=.46
<br />.94
<br />1.42
<br />1.90
<br />2.38
<br />2.87
<br />3.34
<br />3,84
<br />4.35
<br />4.84
<br />5.35.
<br />5.87
<br />8.40
<br />0.93
<br />E =.230
<br />.470
<br />.700
<br />.938
<br />1.17
<br />1.42
<br />1.65
<br />1,90
<br />2.14
<br />2.39
<br />2.64'
<br />2.90
<br />3.16
<br />3.41
<br />T=.50
<br />1.03
<br />1.55
<br />2.08
<br />2.60
<br />3.14
<br />3.66
<br />4.21
<br />4.76
<br />5.31
<br />5.86
<br />6.43
<br />T.01
<br />.:7:59
<br />E =.260
<br />.535
<br />.808
<br />1.08
<br />1.36
<br />1.63
<br />1.91
<br />2.19
<br />2.49
<br />2.61
<br />3.05
<br />3.35
<br />3.65
<br />3.95
<br />115° ,
<br />T=.54
<br />1.13
<br />1.70
<br />2.29
<br />2.86
<br />3.45
<br />4.03
<br />4.63
<br />5.23
<br />5.83
<br />8.44
<br />7.07
<br />7.70
<br />8.35
<br />E7-'
<br />=.307
<br />.624
<br />.939
<br />1.20
<br />1.57
<br />1.89
<br />2.21
<br />2.54
<br />2.87
<br />320
<br />3.53
<br />3.88
<br />4.23
<br />4.58
<br />120'
<br />• T=.61
<br />1.25
<br />1.89
<br />2.52
<br />3.10
<br />3.81
<br />4.44
<br />5.11
<br />5.78
<br />6.44
<br />7.11
<br />7.80
<br />8.51
<br />9.21 1
<br />..
<br />E=.339
<br />.7201.08
<br />1.45
<br />1.82
<br />2.20
<br />2..16
<br />2.95
<br />3.33
<br />3.72
<br />4.10
<br />4.60
<br />4.91
<br />5.32
<br />I
<br />
|