|
VI TABLE L', Tangente and Externals to a 1' Curve. ( TABLE I. - Tangents and Externals tb a 1` Curve.
<br />Chdrd=104 It. Chord= 100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int. '
<br />Angle
<br />.Ta ent
<br />External
<br />Int'
<br />Angle
<br />Tangent
<br />g
<br />External
<br />85`
<br />5250.3
<br />2041.7
<br />92'
<br />5933.2
<br />2518.5
<br />99°
<br />6708.6
<br />3092.7
<br />10'
<br />5265:6
<br />2052,1
<br />VY
<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 />'5290.4
<br />2073.0
<br />30
<br />5985:3
<br />2556.0
<br />30
<br />6768.1
<br />3138.1
<br />40
<br />5311,9
<br />2083.5
<br />40
<br />6002,7
<br />2508.6
<br />40
<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 />2104.1
<br />03
<br />6087.8
<br />2594:0
<br />100
<br />682S.3
<br />.3184.1
<br />10
<br />'5358.6
<br />2115.3
<br />10
<br />6055.4
<br />2606.8
<br />10
<br />GS48.5
<br />3199.6
<br />20
<br />5374.2
<br />2126.0
<br />20
<br />6073.1
<br />2619.7
<br />20
<br />6868.S
<br />3215.1
<br />36
<br />5359.9
<br />2136.7
<br />30
<br />6090.8
<br />2632.6
<br />30
<br />6889.2
<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 />5421.4
<br />2158.4
<br />50
<br />6120.4
<br />2658.5
<br />50
<br />6930.1
<br />3262.3
<br />87
<br />5437'.2
<br />2169:2
<br />94
<br />6144.3
<br />! 2671.6
<br />101
<br />6050.6
<br />3278:1
<br />10
<br />5453.1
<br />21S0.2
<br />10
<br />6162.6
<br />2684.7
<br />10
<br />6971,3
<br />3294,1
<br />20
<br />5469.0
<br />2191.1
<br />20
<br />6180.2
<br />2697.9
<br />20
<br />6902.0
<br />3310.1
<br />30
<br />6484-9
<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 />6216.4
<br />2724.5
<br />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 />88 -
<br />5533.1
<br />2235.5
<br />95
<br />6252.8
<br />2751.3
<br />102 1
<br />7075.5
<br />3374.9
<br />10
<br />5549.2
<br />2246.7
<br />10
<br />. 6271.1
<br />2764.3
<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 />5581.0
<br />2269.3
<br />30
<br />6307.9
<br />2792.0
<br />30
<br />7139.0
<br />3424.3
<br />40
<br />5597.8
<br />2280.6
<br />40'
<br />6326.3
<br />2805.0
<br />40
<br />7160.3
<br />3440.9
<br />50'
<br />5614.2
<br />2292.0
<br />50
<br />6344.8
<br />2819.4
<br />50
<br />7181,7
<br />3457.6
<br />89
<br />5630.5
<br />2303.5
<br />96
<br />6303.4
<br />2833.2
<br />.103
<br />7203.2
<br />3474.4
<br />1.0
<br />564G.9
<br />2315.0
<br />i 10
<br />6352.1
<br />2847.0
<br />10
<br />7224,7
<br />3491.3
<br />20
<br />MGM
<br />2326.6
<br />20
<br />6400.8
<br />2861.0
<br />20'
<br />7246.3.
<br />3508.2
<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 />40
<br />5696.4
<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 />2301,5
<br />50
<br />6457.3
<br />2903.1
<br />50
<br />7311.7
<br />3559.0
<br />90
<br />5729.7
<br />2373.3
<br />97
<br />6476.2
<br />201773
<br />,104
<br />7333.6
<br />3576.S
<br />10
<br />5746.3
<br />2385.1
<br />10
<br />6495.2
<br />2931.6
<br />10
<br />7355.6
<br />3594.2
<br />20
<br />6763.1,'
<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 />2408.9
<br />30
<br />6533.4
<br />! 2960A
<br />30
<br />7399,9
<br />3629.2
<br />40
<br />5706.7
<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 />6571.0
<br />2080:2
<br />50
<br />7444.6
<br />3664.8
<br />91
<br />5830:5
<br />2444:9
<br />98 •
<br />6591.2
<br />3003.8
<br />105
<br />7467.0
<br />3682.3
<br />10
<br />5847.5
<br />2457.1
<br />10
<br />6610.6
<br />3018.4
<br />10
<br />7489.6
<br />3700.2
<br />20
<br />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
<br />6649.6
<br />3047.9
<br />30'
<br />7534.9
<br />3736.2
<br />40
<br />5898,8
<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 />2506.1
<br />50
<br />6688.8
<br />3077.7
<br />50
<br />7580.5
<br />3772.6
<br />Corrections to be Added (T =Tangent. E. = External.)
<br />Int Curn 5° 10° 15°
<br />Angle
<br />ZO° 25'
<br />34° 35°
<br />40°
<br />45° 50° 55° •60° 65°
<br />70°
<br />85° T=.33 GG 1.011
<br />1.33 1.68
<br />2.02 J2.36
<br />2.70
<br />3.05 3.40 3.77 4.14 4.55
<br />4.89
<br />E =.128 .259 .391
<br />.524 .657
<br />.790 .920
<br />1.06
<br />1.20 1.34 1,47 1,62 1.76
<br />1.91
<br />90° T=,20 .72 1-09
<br />11.83
<br />2-20 12.57
<br />2.94
<br />3.32 .3.70 '4.10 4.50 4.91
<br />5.32
<br />E=.149 .299 ,450
<br />.603 .750.910
<br />1.07
<br />122
<br />1.38 1.54 1.70 1.67 2.03
<br />2.20
<br />45° T= 39 .79 1.19
<br />1.55 2.00
<br />2A0 2.80
<br />3.20
<br />3.61 4.42 4.49 4.98 5.38
<br />5.83
<br />E =.174 .35D .522
<br />.706 .985
<br />1.06. 1.25
<br />1.43
<br />1.62 1.50 1-99 2.'18 2.36
<br />2.59
<br />I40° T=.43 BO 1.30
<br />1.74 2.1$
<br />".62 3.06
<br />3.50
<br />3,95 4.40 4:88 5:57 5.85
<br />6.34
<br />E =.2U0 .401 .004
<br />.609 LOl
<br />1.22 1.43
<br />1.64
<br />1.85 2.06 2.28 2.50 2,73
<br />2.96
<br />105° T =.46 .94 1.42
<br />1.90 2,38
<br />2,87 3.34
<br />3.84
<br />4.35 4,84 5.35 5.87 6.40
<br />6.93
<br />E =.230 .470 .700
<br />J38�1.17
<br />�l A2 1.65
<br />1.90
<br />2.14 2.89 2.64: 2.90 3.16
<br />3.41
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int'
<br />Angle
<br />Tangent
<br />g
<br />External
<br />Int.
<br />'Angle
<br />Tan Sent
<br />External
<br />106°
<br />7603,.5
<br />3791.0
<br />1111
<br />8336:7
<br />4380.1
<br />116°
<br />9169.4
<br />5082;,7
<br />10'
<br />7626.6,
<br />3809.4
<br />- 10'
<br />8362.7
<br />4407.6
<br />101:
<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 />4450.4
<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 />'9239.2
<br />.5134,5
<br />50
<br />7719.7.
<br />3584.0
<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 />9349.9
<br />523G,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 />4501.1
<br />20
<br />9411.3
<br />5238,6
<br />30
<br />7814.3
<br />39GO.1
<br />30
<br />8575.0
<br />4553.4
<br />30
<br />9442.2
<br />5315,0
<br />40
<br />7838.1
<br />3979.4
<br />40
<br />8602.1
<br />4606.0
<br />40
<br />9473.2
<br />5341,5'
<br />50
<br />7862.1
<br />3998.7
<br />50
<br />8629.3
<br />4623.6
<br />50
<br />9504.4
<br />5363,2
<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 />4037.8
<br />10
<br />8684.0
<br />4674:2
<br />10 ,
<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 />.9598.9
<br />5449,2,
<br />30
<br />7959.0
<br />4077.2
<br />30
<br />8739.2
<br />4720.3
<br />30
<br />9630,7
<br />5476,5
<br />40
<br />7983,5
<br />4097.1
<br />40
<br />S767.0
<br />4743.6
<br />40
<br />9662.(3
<br />5504,0
<br />50
<br />8008.0
<br />4117.0
<br />-
<br />50
<br />879.1.9
<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 />10
<br />8057.4
<br />4157.3
<br />10
<br />8851,0
<br />181.4.1
<br />10
<br />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 />4218.4
<br />40
<br />8933.3
<br />4895.7
<br />40
<br />9857.7
<br />5672,3
<br />50
<br />8157.5
<br />4239.0
<br />50
<br />8905.0
<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 />9924.0
<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.
<br />4301.4
<br />20
<br />9051.7
<br />4953.1
<br />20
<br />9991.0
<br />5787,7
<br />30
<br />8259.3
<br />4322.4
<br />30
<br />.9080.9
<br />5007.8
<br />30 .10025,0
<br />.5817,D
<br />40
<br />8285.0
<br />4343.6
<br />40
<br />.9110"3
<br />5032.6
<br />40
<br />10059.0
<br />5846.5
<br />50
<br />8310.8
<br />4364.8
<br />50
<br />.9139.6
<br />5057.6
<br />50
<br />10093.0
<br />MM 1.
<br />I.
<br />Corrections to be Added (T Tangent. E=External:)
<br />lat.
<br />Angle
<br />Curve S°
<br />10°
<br />15°
<br />201
<br />25°
<br />30°
<br />35°
<br />40° 1
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />70°
<br />1000
<br />T-.43
<br />.80
<br />11.30 11.74
<br />2.18
<br />2.G2
<br />3.06
<br />3.50
<br />3.05
<br />4.40
<br />C86
<br />5.37
<br />5.65
<br />6.34
<br />E =.200
<br />.401
<br />.601
<br />.809
<br />1.01
<br />1,22
<br />1,43
<br />1.64
<br />1,85
<br />2,00
<br />2.28
<br />2.50
<br />2.73
<br />LOG
<br />105°
<br />T =.4G
<br />.94
<br />1.42
<br />1.90
<br />2.38
<br />2.37
<br />3.34
<br />3.84
<br />4.35
<br />4.84
<br />5,35
<br />587
<br />6.40
<br />6.93'
<br />E=.230
<br />.470
<br />.700
<br />.938
<br />1.17
<br />1.42
<br />1.55
<br />1.90
<br />2J41
<br />2.39
<br />2.64
<br />2.90
<br />3.16
<br />3.41
<br />110"
<br />T=.50
<br />1.03
<br />1.55
<br />2.08
<br />2.60
<br />3.14
<br />3.60
<br />4.21
<br />4.76
<br />5.31
<br />5.86
<br />6.43
<br />7.01
<br />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 />3.651
<br />3.05
<br />115°
<br />T=,54
<br />1.13Li0
<br />2.29
<br />2.361
<br />3.4.5
<br />4.03
<br />'.63
<br />'2.54
<br />5,23
<br />5-83
<br />0.44
<br />7.07
<br />7.70
<br />8,35
<br />E=.307
<br />.6211
<br />.D39
<br />1,26
<br />1.57
<br />LS9
<br />2.21
<br />2,87
<br />3.20
<br />3.53
<br />3.88
<br />4.23
<br />4,59
<br />120°
<br />T =.61'
<br />1.251.S9
<br />2.52
<br />3.16
<br />3.B1
<br />4.44
<br />5.11
<br />5. 8
<br />0.44
<br />7.11
<br />7.80
<br />8.51
<br />9.21
<br />E=.339
<br />.720`1.08
<br />1.45
<br />1,62
<br />2,20
<br />2,56
<br />2,95
<br />3.33
<br />3.72
<br />4.10
<br />4.50
<br />4.91
<br />5.32'
<br />/J
<br />
|