|
YI. TABLE I. ='Tangents and Externals to a R' Curve.
<br />CFnrd=100 ft.-
<br />Angje
<br />Tangent
<br />External
<br />male
<br />Tangent
<br />External
<br />angle C
<br />Tangent
<br />Externa!
<br />85°.
<br />5250.3
<br />204.1.7
<br />921'
<br />5933.2
<br />2518.5
<br />99°` `.
<br />6708.6
<br />-3092.7
<br />.926, 1.06
<br />5265.6
<br />2052. 1
<br />'I(Y.
<br />6950.5
<br />2"31.0
<br />� •,' 10"
<br />'G728.4
<br />3107,7
<br />20
<br />5281.0
<br />2062.5
<br />20 "
<br />6967.9
<br />2543.5
<br />,.'(20
<br />6745.2
<br />3122,9
<br />' 30
<br />5296.4
<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 />2568.6
<br />E'
<br />6788.1
<br />3153,3
<br />50'
<br />5327.4
<br />'2094.1
<br />50
<br />6020.2
<br />25SI.3
<br />x:.40
<br />ISO'
<br />.6808:2
<br />3168.7
<br />105°
<br />�.0081:17
<br />3902.9
<br />112
<br />8494,6
<br />535
<br />117
<br />E _,230 :47011.700
<br />03
<br />86
<br />5343.0
<br />2104.7
<br />93
<br />6037: $,
<br />2594.`0
<br />100-'.. f
<br />' 6828:3
<br />3184,1
<br />-' 10
<br />5358.0
<br />2115.3
<br />:"10 s
<br />6055:4:
<br />2606.8
<br />.10
<br />6818.5
<br />3199,6
<br />20
<br />5374.2
<br />2126.0
<br />:'20 ,
<br />6073:1-,
<br />2619.7
<br />r20 "
<br />6868.8
<br />3215,1
<br />.30
<br />5389.9
<br />2136.7
<br />` ''30 _
<br />6090.-8'
<br />'2632.6
<br />'30 '
<br />6SS9.2
<br />3230,8
<br />-40
<br />.5405.6
<br />"2147.5 .
<br />;'10
<br />6108:6:
<br />2645.5
<br />"40-
<br />'6909.6
<br />3246,5
<br />00
<br />5421.4
<br />2158,4
<br />r -''S0'
<br />6120:'4'
<br />2658.5
<br />50
<br />6930:1
<br />3262,3
<br />87 'a
<br />5437.2
<br />2169:2'
<br />94
<br />6144.3;
<br />2671.`6'
<br />101'
<br />6950.6
<br />3278.1
<br />10:
<br />'5453.1
<br />2180.2
<br />10
<br />6162.6
<br />2684.7
<br />`:'.10
<br />6971.3'.3'294.1
<br />5449.2
<br />20
<br />54G9'.0
<br />X2191,1
<br />;'. 20.'
<br />6180;2.
<br />2697.9
<br />- : "20
<br />6992:0
<br />3310.1
<br />40
<br />7983.5
<br />_2202.2
<br />30
<br />6198.3
<br />2711.2
<br />;'$0
<br />7012.7
<br />3326.1
<br />,30
<br />40
<br />,5484.9;
<br />'5500.9
<br />.2213'.2
<br />;''40
<br />6216.4,
<br />2724.5
<br />40.
<br />L
<br />;7033.6
<br />'3342.3
<br />"
<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 />SS' .'-
<br />•5533.1
<br />2235.5
<br />95
<br />6252.8
<br />2751.3
<br />1103 .,''
<br />7075.5
<br />3374,9
<br />•10'
<br />5549.2
<br />2246.7
<br />10
<br />6271,1
<br />2764.8
<br />3 10
<br />7096'.6'
<br />3391.2
<br />_20 .
<br />5565.4
<br />2255.0
<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 />'60'
<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 />'410
<br />5646,9.
<br />23 15. 0
<br />•10
<br />6382.1
<br />'2847.0
<br />10
<br />'7224.7
<br />3491.3
<br />'20
<br />5663.4
<br />232G.6
<br />20
<br />6400.8
<br />286t.0
<br />20-
<br />7246.3
<br />3505.2
<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 />2361.5
<br />'50
<br />6457.3
<br />2903.1
<br />50
<br />'7311.7
<br />3559.6
<br />1_
<br />90
<br />5729.7
<br />2373.3
<br />•97 ,:
<br />6476.2
<br />2917.3'
<br />104 -
<br />'7333.¢
<br />3576.8
<br />10
<br />5746.3
<br />2385.1
<br />10.:
<br />G495.2
<br />2931.6
<br />10
<br />7355.6
<br />3594.2
<br />20.
<br />5763.1
<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 />2405.9
<br />30
<br />6533.4
<br />2960.3
<br />30
<br />7399,9
<br />3629.2
<br />40
<br />5796.7
<br />2426.9
<br />40
<br />6552.6
<br />2974.7
<br />' '".40
<br />74~2,2
<br />3646.8
<br />50
<br />5813.6
<br />2432.9
<br />50 -
<br />6571.9
<br />2980.2
<br />' `'50 '
<br />q
<br />.7444.6
<br />3664.5
<br />B1.
<br />5830.5
<br />2444.9
<br />`98 ,
<br />•6591.2
<br />3003.8
<br />105 --
<br />74G7.0
<br />3682.3
<br />.10
<br />2457.1
<br />= 10
<br />6610.6
<br />3018.4
<br />•10
<br />7489.6
<br />3700.2
<br />20
<br />,5847.5
<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 />2493.5
<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 />G688.S
<br />3677.7
<br />; 50'
<br />7550:5
<br />3772,6
<br />9orrectionstobe:Added_(T=Tangent. E,=External.)
<br />eke` 'Carve 5° 10°
<br />15° 20°
<br />.25°
<br />'30°
<br />35° 40°
<br />45°' S0° 55° 604 65°.
<br />70°
<br />T-6 33 ' '.66
<br />1.00 1.33
<br />1.68 _
<br />2.03
<br />2.36 2.70
<br />3.05 3.40 377 4.14 485
<br />4.89
<br />H- .128. .259
<br />.391 .521
<br />.657
<br />-.790
<br />.926, 1.06
<br />1.20 1.34 1.47 1.62 1.76
<br />1.91
<br />900 T=.36 .72
<br />1.09 1.45.
<br />1.83'
<br />2,20:
<br />2.37 2.94
<br />3.32 3,70 4.1D 450 4.91
<br />5.32
<br />E=.149 ?99
<br />.450 .603
<br />..756
<br />.910
<br />1.07 1.22
<br />1.38 1,54 1.70 1.87 2.03
<br />2.20
<br />95° - '• V- 39•• .f9
<br />1.10 11.55
<br />2.9(1
<br />2,40
<br />2.80 3.77 '20
<br />3.61 4,02. 4.49 4.98 5.38
<br />5.53
<br />E =,174, .350
<br />.522` .70G
<br />.985
<br />1,06
<br />L25 1.43
<br />1.62 1,80 1.90 2.18 2.38
<br />2.58
<br />100° T=.43 .86
<br />1.30 1.74
<br />2.18
<br />2,62
<br />3.00 350
<br />3.95 4.40 4.88 5.37 5.85
<br />6.34
<br />_- 1;=-200 401
<br />'.60-1 .809
<br />1.01
<br />1.22
<br />1.43 1.64
<br />1.85 2.06 2.28 2.50 2.73
<br />2
<br />105°
<br />�.0081:17
<br />3902.9
<br />112
<br />8494,6
<br />535
<br />117
<br />E _,230 :47011.700
<br />03
<br />10
<br />1,42
<br />1.65 1 90
<br />2.14 2.39 2.64 2.00 3.16
<br />8521.3
<br />,96.
<br />6.9a;
<br />3.41
<br />TABLE L Tangents and Externals to a 1' Curve. VII
<br />Chnrd = 100 fl_
<br />•Int•
<br />Angle
<br />Tangent
<br />External
<br />An lI ge
<br />Tangent
<br />ErG rtml
<br />• Ang ie
<br />Tangent
<br />External
<br />106°
<br />7603.5
<br />3791.0
<br />111°
<br />5336.7
<br />4386.1
<br />1161
<br />9169.4
<br />5082.7T
<br />10`
<br />7620.0
<br />3809.4
<br />1('
<br />5362.7
<br />I' 4407.6
<br />10`
<br />9199.1
<br />5107.9
<br />20
<br />7049.7
<br />3827.9
<br />20
<br />8358,9-
<br />4429 ..2
<br />20
<br />9229.0
<br />5133.3
<br />30'
<br />7672,9
<br />'7696.3
<br />3S46.5'
<br />30
<br />5415.1
<br />4450..9
<br />30
<br />9259,0
<br />5158.S
<br />40)
<br />T=.50
<br />3865.2
<br />40
<br />8441:5
<br />-4472.,7.
<br />40
<br />9289.2
<br />5184.5
<br />j"50
<br />7719.7
<br />3884,0
<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 />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.G
<br />30
<br />7814.3
<br />39GO.I
<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 />4606,0
<br />4D.
<br />9473,2
<br />53 41.5
<br />50
<br />7962.1
<br />3998.7
<br />50
<br />8629.3
<br />4628,6
<br />.50
<br />;9504.4
<br />_
<br />5368:2
<br />108
<br />7886.2
<br />4018.2
<br />113
<br />8656.6
<br />4f,51.3'
<br />118
<br />9535.7
<br />5395.1
<br />10
<br />-7910.4
<br />4037.8
<br />10
<br />SGS4.0
<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 />.
<br />5476.5
<br />40
<br />7983.5
<br />4007.1.
<br />40
<br />8767.0
<br />4743.6'
<br />40
<br />9662.0
<br />5504.0
<br />50
<br />800S.0
<br />4117.0
<br />50
<br />8794.0_
<br />4760.0
<br />50
<br />9694.7
<br />5531:7
<br />109
<br />8032.7
<br />4 13 7. 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 />4314..0.
<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 />i 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 />81332,3
<br />4218.4.
<br />40
<br />8936:4
<br />4885.7
<br />40
<br />9857.7
<br />5672.3
<br />50
<br />8157,5
<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 />4958.5
<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 />82:,9.3
<br />4322.4
<br />30
<br />9080.9
<br />5007.3
<br />�30
<br />10025.0
<br />5817.0
<br />40
<br />828:;.0
<br />4343.6
<br />40
<br />91I0.3
<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 />10.093,0
<br />5876.1
<br />Corrections to be Added (T=Tangent. E=External.)
<br />Int. '�.
<br />Angle
<br />Curve 5°
<br />10" 15° 20° 25,
<br />30°I
<br />35°
<br />,40'
<br />45° 50'
<br />551 601 65°
<br />70°
<br />100°
<br />T=.43
<br />.80 i�.30 1.74 2.18
<br />2.03
<br />3.OS
<br />3.51
<br />3.95 4.40
<br />4.38 5.37 5.85
<br />6.34
<br />E =.200
<br />.491 .601 .809 1.01
<br />1.22
<br />1,43
<br />L64
<br />',1.85 2.06
<br />2.28 2.50 2.73
<br />2.90
<br />105°
<br />T=.4G
<br />.94, 1.42 1.90 2.39
<br />2.87
<br />3.34
<br />3.84
<br />4.35 4.81
<br />5.35 5.87 6.40
<br />6.93
<br />E=.230
<br />.470 .700 ..93S 1.17
<br />].42
<br />1.63
<br />1.90
<br />2.14 2.39
<br />2.A 2.90 3.16
<br />3.41
<br />110°
<br />T=.50
<br />lA3 1.55 2.08 2.60
<br />3.141
<br />3.64
<br />4.21
<br />4.76 5.31
<br />5.86 643 '.01
<br />7.59
<br />F=.260
<br />.535 .808 1.08 1-36
<br />1.63
<br />1.91
<br />2,19
<br />2.49 2.61
<br />3.05 3.35 3.65
<br />3.95
<br />115°
<br />T=.54
<br />1.13 1.70 2.29 2.86
<br />3.45
<br />4.03
<br />4.6k33
<br />5.83
<br />0.44 7.07 '.70
<br />8.35
<br />E =.307
<br />.024 •939 1.20 1.57
<br />1.59
<br />2 °1
<br />2.54
<br />2.87 3,20
<br />3.53 3.86 4.23
<br />4.58
<br />120°
<br />T=.G1
<br />1.25 1.89 12.52 3.103.51
<br />4.44
<br />5.11
<br />'6.78
<br />6.44
<br />7,11 7.80 S.51
<br />9.21
<br />E=.339
<br />.720 L08 11.45 1,82
<br />2.20
<br />2.56
<br />2.95
<br />'3.33
<br />3.72
<br />4.10 4.50 4.011
<br />5.32
<br />
|