|
VI Tw1311F 1. - Tangents and Externals'to a 1° Curve.
<br />Chord =100: ft:
<br />- Int,
<br />Angle
<br />Tangent
<br />External
<br />Int'
<br />Angle
<br />Tangcnt
<br />External
<br />In
<br />'Apple
<br />Tangent
<br />I3xternal
<br />851,
<br />-''10'
<br />5250.3
<br />2011.7.
<br />921
<br />5933:2
<br />2618"5
<br />J
<br />99°
<br />6708.6
<br />309.7
<br />1.83 2.20 2.57 2.94 3.32 3.70 4.10
<br />11.38 11.54
<br />S205.6
<br />2052.1
<br />10'
<br />5930:5'
<br />2.31,0
<br />f0'
<br />6723.4-
<br />'3107.7
<br />20
<br />5251.0
<br />..2062.5
<br />20
<br />5967,9
<br />2343.5
<br />20
<br />6748.2
<br />3122.9
<br />30
<br />529(3,4
<br />2073.0
<br />30
<br />3985-3•
<br />2.50,0
<br />/36
<br />6768.1
<br />3138.1
<br />".405341.0
<br />T=.46 .94
<br />2083.5
<br />40
<br />0002.7
<br />2568.6
<br />'40
<br />6788.1
<br />"31,53"3
<br />50
<br />5327,4
<br />20M1
<br />50
<br />0020"2
<br />2.81.3
<br />50
<br />0808.2
<br />3163"7
<br />86
<br />5343,0
<br />210.1.7
<br />93 -
<br />G037.8-
<br />2594.0
<br />160
<br />GS28:3
<br />3184.1
<br />.10
<br />5358,0
<br />2115.3
<br />10
<br />GO55.4
<br />2606.8
<br />10
<br />G848.5
<br />3199.E
<br />20
<br />5374,2
<br />2126.0
<br />20
<br />6073.1
<br />2619.7
<br />20
<br />6368.8
<br />3215"1
<br />30
<br />5389,9
<br />2136.7
<br />30
<br />6090.8
<br />2632.6
<br />30
<br />6389.2
<br />.3130_8
<br />40
<br />.5405,0
<br />2147.5
<br />40
<br />G10S.6
<br />2645.5
<br />40
<br />6909.6
<br />3246.5
<br />50
<br />5421,4
<br />2158.4
<br />50
<br />G126.4'
<br />2658.5
<br />50
<br />6930,1
<br />3202.3
<br />S7
<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 />2150.2
<br />10
<br />G162.6
<br />2031.7
<br />10
<br />6971.3
<br />3294.1
<br />20 .
<br />5169,0
<br />2191.1
<br />20
<br />.6180.2
<br />2097.9
<br />20
<br />6992.0
<br />3310.1
<br />30
<br />5184,9
<br />2202.2
<br />30
<br />G19S.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.G
<br />3342,3
<br />50
<br />5517,0
<br />2224.3
<br />50
<br />6234.6
<br />2737,9
<br />50
<br />7034.5
<br />3358.
<br />88'':'
<br />5533,1
<br />2235.5
<br />95
<br />G252,8
<br />2751.3
<br />10,,
<br />7075.5
<br />3374.0
<br />10
<br />5549,2
<br />2246.7
<br />TO/
<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 />62S9.4
<br />2778.3
<br />20
<br />7117.8
<br />3107.7
<br />30
<br />5581,0
<br />2369.3
<br />30
<br />G307.9
<br />2792.0
<br />30
<br />7139.0
<br />3424.3
<br />40
<br />6597,8
<br />2280.6
<br />40
<br />6326.3
<br />2805.6
<br />40
<br />7160.3
<br />3440.0
<br />50
<br />5614,2
<br />2292.0
<br />450
<br />G344.8
<br />2819.4
<br />'50
<br />7181.7_
<br />8457.5
<br />89.
<br />5630,5
<br />2303.5
<br />96
<br />6365.4
<br />2533.2
<br />103
<br />7203,2
<br />3474.4
<br />10
<br />6646.9
<br />2315.0
<br />l0
<br />6382.1
<br />2347"0
<br />LO
<br />7224.7
<br />3491.3
<br />20
<br />5363,4
<br />232G.G
<br />20
<br />6!00.8
<br />2361.0
<br />20
<br />7246.3
<br />3:,503.2
<br />30
<br />5679.9
<br />2338.2
<br />30
<br />6119.5
<br />2573.0
<br />30
<br />7268.0
<br />3525.2
<br />40
<br />5696.4
<br />.2349.8
<br />40
<br />6138.4
<br />2859"O
<br />40
<br />7259.8
<br />3512.4
<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 />Be
<br />5729"7
<br />2373"3
<br />97
<br />G476.2
<br />2917.3
<br />103
<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 />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 />2408.9
<br />30
<br />6533.4
<br />2960.3
<br />30
<br />7399.9
<br />3629.2
<br />40
<br />5790.7
<br />2420.9
<br />40
<br />G552.6
<br />2974.7
<br />40
<br />7422"2
<br />304G.S
<br />50
<br />5813.6
<br />2432.'J
<br />59
<br />6571.9
<br />2989.2
<br />50
<br />7444.6
<br />3064.5
<br />91
<br />5830,5
<br />2444.9
<br />08
<br />6591.2
<br />3003.8
<br />105
<br />7167.0
<br />3GS2"3
<br />10
<br />5847.5
<br />2457,1
<br />10
<br />6610,6
<br />3018.4
<br />lO
<br />7-189.6
<br />3700.2
<br />20
<br />5364.6
<br />24G9.3
<br />20
<br />6630.1
<br />3033.1
<br />20
<br />7512.2
<br />3715.2
<br />30
<br />5381.7
<br />2481.:,5
<br />30
<br />6649.6
<br />3047.9
<br />30`
<br />7531.0
<br />3736.2
<br />40
<br />5898.8
<br />2193.8
<br />40
<br />6069.2
<br />3062.8
<br />40
<br />7357.7
<br />3754.4
<br />50
<br />5916,0
<br />2506.1
<br />:50
<br />G083.8
<br />3077.7
<br />50
<br />7580.5
<br />3772.G
<br />Corrections to be Added (T =Tangent. E. =External.)
<br />IaE.
<br />.Angle
<br />Curve 5° 101
<br />15° 20°
<br />25°' 30° 35° 40° 45° 501 551
<br />601 tis° 70°
<br />85'
<br />T=.33 .66
<br />ECO 133
<br />1.68 2.02 2.36 EE2.,01I3.05 3.40 3.77
<br />11.34 11.47
<br />4.14 4.55 4.80
<br />70°
<br />E="128 .259
<br />.391 424
<br />.6571 ,790 ,92Gf 106 + 1.20
<br />1.62 1.76 1.91
<br />90°
<br />T=.36 .72.
<br />1"09 1"45
<br />1.83 2.20 2.57 2.94 3.32 3.70 4.10
<br />11.38 11.54
<br />4.50 4.91 5.32
<br />3809.4
<br />E=.149 .299
<br />.450 ..6031
<br />.756 !.310 1.07 1,22 1.70
<br />1,87 2.03 2.20
<br />95,T
<br />=.39
<br />11,55
<br />2"00 2:40 2,80 3,20 13.61 4A2 4"49
<br />4.98 5.38 5.83
<br />20
<br />E =.171 330
<br />.522 .70fi
<br />"985 1.06 1.25 1,43 11.62 1,80 1.99
<br />2.18 2.38 2.58
<br />5133.3
<br />.8611.30
<br />11,74
<br />2.18 2.62 9.0 13,50 3"95 4.40 4.88
<br />5"37 5,85 16.34
<br />8415.1.
<br />A01
<br />.601 ,809
<br />Lot 1.22 1.43 1.84. 1"85 2"08 2.28
<br />2.50 2.73 2.96
<br />105°
<br />T=.46 .94
<br />1A2 1 Q0
<br />2.38 2.87 3,34 3,84 4.35 4.84 5.35
<br />5.87 6.40 6.93
<br />4472,7
<br />E =,2.0 .410
<br />.i CO .938
<br />1.17 1:42 1.65 1,50 2.1.1 2.39 2.64
<br />1
<br />2.00 3.16 3.41
<br />TABLE:I.-;Tangents and Externals to a P Curve. VII
<br />Chord =100 f t:
<br />Int.
<br />Angle
<br />, Tangent
<br />External
<br />Int.
<br />Angle
<br />Tan ut��
<br />External
<br />lat.
<br />Angle
<br />Tangent
<br />External
<br />106°7603.5
<br />70°
<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 />83.62.7
<br />4107.6
<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 />4159.9
<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 />7719.7
<br />3894.0
<br />50
<br />. 8468.0
<br />4494.6
<br />50
<br />93.19.5
<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"0
<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 />T814"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 />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
<br />9567.2
<br />5422.1
<br />20
<br />,5934.6
<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
<br />4720.3
<br />30
<br />9630.7
<br />5476.5
<br />40
<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 />8008.0
<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 />10
<br />5057.4.
<br />4157.3
<br />10
<br />8851.0
<br />4814.1
<br />10
<br />9759,4
<br />5587.4
<br />•20
<br />SOS2.2
<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 />.8936.3
<br />4885.7
<br />40
<br />9857.7
<br />5672.
<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 />11.0
<br />8182.8
<br />4259.7
<br />115
<br />S993.8
<br />4934.1
<br />120
<br />9924.0
<br />5729"7
<br />10
<br />8208.2
<br />4280.5
<br />10
<br />0022.7
<br />4958.610.
<br />9957.5
<br />5758"6
<br />20
<br />8233.7.
<br />4301"4
<br />20
<br />0051.7
<br />4983:I
<br />20
<br />9991.0
<br />5787.7
<br />30
<br />8259.3
<br />4322.4
<br />30
<br />0080.9
<br />5007.8
<br />.30
<br />10025:0
<br />5817,0
<br />40
<br />8285.0
<br />.4343.6
<br />40
<br />0110.3
<br />5032.6
<br />40
<br />10059.0
<br />5846.3
<br />.50
<br />8310.8
<br />4364"8
<br />50
<br />0139.8
<br />5057.6
<br />50
<br />10093.0
<br />5876.1
<br />Corrections to be Added (T =Tangent. E =External.)
<br />IntAugle
<br />Curve 5°
<br />5° 20°
<br />2� 30°
<br />35°
<br />40°
<br />45° 50°
<br />55' 60°
<br />65°
<br />70°
<br />T =.43
<br />30 1.74
<br />2.18 2,62
<br />3.06
<br />3.50
<br />3"95 4.40
<br />4.88 5.37
<br />5.65
<br />6.34
<br />100,
<br />E=.200
<br />604 .809
<br />1.01 1.22
<br />1.43
<br />1,54
<br />1.85 2.00
<br />2.28 2.50
<br />2.73
<br />2.96
<br />T=.46
<br />1"90
<br />2.38 2.87
<br />3,34
<br />3.84
<br />4.35 4.84
<br />5.35 5.87
<br />6.40
<br />6.03
<br />105,
<br />E=.230
<br />.42
<br />.700 .938
<br />1.17 1.42
<br />1.65
<br />1.90
<br />2.14 2.39
<br />2.64 2.90
<br />3.16
<br />3.41
<br />T=.50
<br />f.700
<br />A5 '2.08
<br />2.50 3.14
<br />3.66
<br />42]
<br />4.76 5.31
<br />5.86 0-43
<br />7.01
<br />7.69
<br />110,
<br />E=,260
<br />808 1.08
<br />1.36 1.63
<br />1.91
<br />2.19
<br />2.49 2.01
<br />3,05 3,35
<br />3.65
<br />3.95
<br />T54
<br />70 2.29
<br />2.86 3.45
<br />9.03
<br />4.63
<br />5.23 5.83
<br />0.44 7.07
<br />7.70
<br />8.85
<br />115,
<br />E.939
<br />1.26
<br />1,57 139
<br />2.21
<br />2.54
<br />2.87 3.20
<br />3.53 3.88
<br />4.23
<br />4.58
<br />120"
<br />T:61
<br />69 2.52
<br />3.16. 3.81
<br />4.44
<br />5111
<br />5.78 0.44
<br />7.11 7.80
<br />8.51
<br />9.21
<br />E=,33903
<br />1.45
<br />1.63 2.20
<br />2. 6
<br />2.95
<br />3.33 3.72
<br />4.10 4.50
<br />4.91
<br />5.32
<br />
|