|
VI TABLE 1.- Tangents ana Externals to a'1 Curve,
<br />C1nnrrl=1n0 it..
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />nglInt.
<br />eingle
<br />Taagenl
<br />External
<br />Angle `Tangent
<br />External
<br />External
<br />85°
<br />5250.3
<br />2041.7
<br />92°
<br />5933.2
<br />2518.5
<br />.991•
<br />6708.6
<br />3092.7
<br />10'
<br />5265.6
<br />2052.1
<br />.10'
<br />595D.5
<br />2531.0
<br />10'
<br />'6728.4
<br />3107.7
<br />20
<br />5281.0
<br />2062.520.
<br />90° E =.149
<br />6967.9
<br />2543.5
<br />20
<br />6748.2
<br />3122.9
<br />30
<br />5296.4
<br />2073.0•
<br />30
<br />6985.3
<br />2556.D
<br />30
<br />6768.1
<br />3138.1
<br />40
<br />5311.9
<br />2083.5
<br />41)
<br />6002,7
<br />2568.6
<br />'40.
<br />6788.1
<br />3153.3
<br />60
<br />5327.4
<br />2094.1
<br />60
<br />. 6020.2
<br />2581,.3
<br />i
<br />50
<br />6808:2
<br />3168.7
<br />86'
<br />5343.0
<br />2104.7
<br />83
<br />6037"S
<br />2594.6
<br />100
<br />6828.3
<br />3164.1
<br />10
<br />5358.6
<br />2115.3
<br />10
<br />G055:4
<br />2606.8
<br />- 40
<br />6548:5'
<br />3199.6
<br />20
<br />5374.2
<br />2126.0
<br />20
<br />G073.1
<br />2619.7
<br />20
<br />G868.8
<br />3215,1
<br />30
<br />5389:9
<br />2136.7
<br />30'
<br />G090.8
<br />2632.6
<br />80'
<br />GS89:2
<br />3230,8
<br />40
<br />5405.E
<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 />6126.4
<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 />G950.6
<br />.3278.1
<br />10
<br />5453.1 1
<br />2180.2
<br />10
<br />G1G2.6
<br />2684.7
<br />16
<br />G971.3
<br />3294.1
<br />20
<br />5469.0
<br />2191A
<br />20
<br />6180.2
<br />2697.9
<br />20
<br />6992.0
<br />3310.1
<br />30
<br />5483.9
<br />2202.230
<br />8739,2
<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 />70.54.5
<br />3358.5
<br />88
<br />5533.1
<br />2235.5
<br />05
<br />6252.8
<br />2751.3
<br />102
<br />7075.6
<br />3374.9
<br />le
<br />5549.2
<br />2240.7
<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 />30
<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 />.50
<br />5614.2
<br />2292.0
<br />50:
<br />6344.8
<br />2819.4
<br />50
<br />4181.7
<br />3457.6
<br />89
<br />5G30.5
<br />2303.5
<br />96
<br />6363.4
<br />2833:2
<br />.103 1
<br />7203.2
<br />347.4.4
<br />10
<br />5646.9
<br />2315.0
<br />10
<br />6382.1
<br />2847.0 '
<br />10
<br />7224.7
<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 />3508.2
<br />30
<br />5679.9
<br />2338.2
<br />i 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 />2880.0
<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 />50
<br />7311'.7
<br />3559.6
<br />60
<br />5729.7
<br />2373:3
<br />97
<br />6476.2
<br />2917,3104:
<br />7333.6
<br />3576.8
<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 />5703.1
<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 />0533.4
<br />2960.3
<br />'30
<br />7399.9
<br />'3629.2
<br />40
<br />5796.7
<br />2420.9
<br />'40'
<br />0552.6
<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 />i 50
<br />7444.6
<br />3664.5
<br />81
<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 />2.157.1
<br />10
<br />r,,Gto. 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 />3718.8
<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 />6069.2
<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. M=External.)
<br />curve 51
<br />101
<br />15° 20°
<br />25° .30° 35° 40° -45° 501 55° •60°
<br />65°
<br />70°
<br />AInnt.,
<br />gle
<br />External
<br />106°
<br />7603.5
<br />3791.0
<br />'111°"
<br />T=.33
<br />.66
<br />LOO 1.33
<br />L68 2.02 2,30 2.70 3.05 3.40 3.77 4.14
<br />4.55
<br />4,89
<br />8s°
<br />E =,128
<br />.259
<br />.391 .524
<br />.657 .790 .926 1.06 1.20 1.34 lA7 1.62
<br />1.70
<br />L91
<br />T=36
<br />.72
<br />1.09 1.45
<br />113 2.20 2.57 2.94 3.32 3.70 4.10 4.60
<br />11.22
<br />4.91
<br />6.32
<br />90° E =.149
<br />.290
<br />.450 .603
<br />356 .910 1.07 1.38 L54 1.70 1.87
<br />2.03
<br />2.2D
<br />T=.39
<br />3840.5
<br />1.19 1.55
<br />2.00 2.10 12.80 3.20 3.61 4.02 4.49 4.98
<br />5.38
<br />5.83
<br />95° E=.174
<br />.79
<br />.706
<br />.985 1.06 11.25 1.43 1.62 1.80 1.99 218
<br />2.38
<br />2.58
<br />T=.43
<br />.350
<br />86
<br />.522
<br />1_.30 1.74
<br />2.i8 2.62 3.06 '.50 3.95 4.40 4.88 1.37
<br />5.85
<br />6.34
<br />100° E = 200
<br />3884:0
<br />.809
<br />1.01. 1.22 1.43 1.54 1.85 .2.06 2 23 2.50
<br />2.73
<br />2.96
<br />T= 46
<br />.401
<br />.604
<br />1.42 1.90
<br />2.38 2.87 3.34 3.94 4.35 4.84 5.35 5.87
<br />6.40
<br />6.53
<br />105° E=.230
<br />.94
<br />.470
<br />.700 .938
<br />117 L42 L65 1.90 2,14 2.39 2.64 2.90,
<br />3.10
<br />3.41
<br />El
<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.
<br />Anglo
<br />Tangent Bateinal
<br />Int
<br />Angie
<br />Tangent
<br />External
<br />106°
<br />7603.5
<br />3791.0
<br />'111°"
<br />8336.7
<br />4386.1
<br />116°
<br />9169.4
<br />5082.7
<br />10'
<br />7626.6
<br />3809,4
<br />10'
<br />8362.7
<br />' 4407.5
<br />10'
<br />9199.1"
<br />5107.9
<br />20
<br />7649.7
<br />3827:9
<br />20
<br />8386A
<br />•4429.2
<br />20
<br />9229.0
<br />5133.3
<br />30
<br />7672,9
<br />3840.5
<br />30
<br />8415,1
<br />4450.9
<br />30-
<br />9259.0
<br />5158.8
<br />40
<br />7690.3
<br />3805.2
<br />40
<br />8441,5
<br />4472.7
<br />40
<br />9289.2
<br />5184.5
<br />50
<br />7719.7
<br />3884:0
<br />50
<br />'8408,0
<br />4494.6
<br />50
<br />9319.5
<br />5210.3
<br />107
<br />7743.2
<br />3902.9
<br />1175 .
<br />8494,6
<br />4516.6
<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 />4583A
<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 />4628.6
<br />50
<br />9504.4
<br />5368.2
<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 ..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 />5470.5
<br />40
<br />7983.5'
<br />4097.1
<br />40
<br />8767,0
<br />4743.6
<br />40
<br />9GC2,6
<br />5504,0
<br />50
<br />8008.0
<br />4117.0
<br />50
<br />8794,9
<br />4766.9
<br />50
<br />9694.7
<br />5531.7
<br />109
<br />6032.7
<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 />885 t.0
<br />4814.1
<br />10
<br />9759.4
<br />5587.4'
<br />20
<br />SOS2.3-
<br />4177.5
<br />20
<br />'8S79,3
<br />.4837.8
<br />20
<br />9792.0
<br />5615:5
<br />30
<br />8107.3
<br />4197A
<br />30
<br />8907.7
<br />4861.7
<br />80
<br />9824.8
<br />5643.8
<br />40
<br />8132A
<br />4218.4
<br />40
<br />8936,3
<br />4885.7
<br />-40
<br />9857.7
<br />5072.3
<br />50
<br />81,57.5
<br />4239.0
<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 />9924.0
<br />5729.7
<br />10
<br />8208.2
<br />4280.5
<br />10
<br />9022,7
<br />4958.G
<br />10
<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 />9030,9
<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
<br />10059.0
<br />5846.5
<br />50
<br />8310.8
<br />4364,8
<br />50
<br />9139.8
<br />5057.6
<br />50
<br />10093.0
<br />587G.1
<br />Corrections to be Added (T -Tangent. E=External.)
<br />Ant.
<br />Angle Cane Cae 5°
<br />10°
<br />15°
<br />20° 1 25° 30° " 35° 40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />70°
<br />100° T=•43
<br />.86
<br />1.30
<br />1.74 2.18 2.62 3.06 3-60
<br />3.95
<br />4.11
<br />4.88
<br />5.37
<br />5.85
<br />6.34
<br />E=.200
<br />.40]
<br />.501
<br />.8091.0] 1,22 1.43 1.64
<br />1.85
<br />2.06
<br />2.28
<br />2.SD
<br />2.73
<br />2.96
<br />105° T =.46
<br />.94
<br />1.42
<br />1.90 2.38 2.97 3.34 3.84
<br />4.35
<br />4.84
<br />5.35
<br />5.87
<br />6.40
<br />6.93
<br />E =.230
<br />A70
<br />.700
<br />.933 1.17 1,42 LG5 ;1.9D
<br />2.14
<br />2.39
<br />3.04
<br />.2.90
<br />3.16
<br />3.41
<br />1106 T=,50
<br />1.03
<br />1.55
<br />2.03 2.60 3.14 3.65 4.21
<br />4.76
<br />5.31
<br />MG
<br />6.43
<br />7.01
<br />7.59
<br />E =,260
<br />.535
<br />.808
<br />1.08 1.36 1.63 1.91 2.19
<br />2.49
<br />2.61
<br />3.05
<br />3.35
<br />3.05
<br />3.95
<br />1150 T=.54
<br />M3
<br />11.70
<br />12.39 2.36 3.45 4.03 4.63
<br />5.23
<br />5.83
<br />6.44
<br />7.07
<br />7.70.
<br />8.35
<br />E=.307
<br />62,11
<br />,939136
<br />1.57 1.89 2.2[ 2,54
<br />1871
<br />3.20
<br />3.53
<br />3.88
<br />4.23
<br />4.59
<br />120° T=.61
<br />1281.89
<br />2.52 3.10 3.31 3.44 5.11
<br />2.20
<br />5.75
<br />6.44
<br />7.11
<br />7.30
<br />8.51
<br />9.21
<br />E; .339
<br />.72011,08
<br />11.45 1.82 150 2:95,
<br />3.33
<br />3.72
<br />4.10
<br />4.50
<br />4.91
<br />5.32
<br />
|