|
III
<br />pd.Correction's to be .to (T.'= Tangent. E, =External.)
<br />�I` t
<br />,Ir
<br />5'
<br />VI
<br />°TAMLE'1. -Tangents, an1° G4
<br />d Externals to'a 1ive.
<br />Chord =100 .ft_
<br />Int..
<br />'-' Angle
<br />Tangent
<br />I l;attem l
<br />Int:
<br />Angle
<br />Tangent
<br />-
<br />External
<br />Int.-
<br />Angle
<br />Tangent'
<br />External
<br />85° •
<br />5250.3.
<br />2041.7
<br />92°
<br />5933,2
<br />2518.5
<br />95°
<br />':6708.6
<br />3092.7
<br />10'
<br />5265. C)
<br />2052.1
<br />10'
<br />5950,5
<br />2531.0
<br />10'
<br />6728:4
<br />3107.7
<br />20
<br />5231.0.
<br />2062.5
<br />'20
<br />5967,.9
<br />2543:5
<br />: 20
<br />G748.2.
<br />3122.9
<br />30
<br />529G.4
<br />2073.0
<br />30
<br />5985.3
<br />2556.0
<br />30
<br />0768:1
<br />3138.1
<br />40
<br />5311.9
<br />2083.5
<br />40
<br />6002:7
<br />2568.6
<br />40
<br />'G788:1
<br />3153.3
<br />'50
<br />5327:4
<br />2094.1
<br />502
<br />6020,2
<br />2581.3
<br />50
<br />6808.2'
<br />3168.7
<br />86.
<br />`5343.0
<br />2104.7
<br />43
<br />GO37:8
<br />,2594.0
<br />100
<br />G828.3
<br />3154.1
<br />10
<br />5358.6
<br />2115.3
<br />•10
<br />6055.4
<br />2606.£
<br />I0
<br />6845.5
<br />3199.6
<br />20
<br />:5374,2
<br />2126.0
<br />20-
<br />6073.1
<br />2619.7
<br />20
<br />GS68.8
<br />3215,-1
<br />.30
<br />5389:9
<br />2136.7
<br />'30
<br />13090:8
<br />2632,0
<br />30
<br />6859.2
<br />3230.8
<br />40
<br />5405.6'
<br />2147.51
<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 />5o
<br />6930'.1
<br />3262.3
<br />'87
<br />5437.2
<br />2169.2
<br />84
<br />6144.3
<br />2071,6
<br />101
<br />(1050.6
<br />3278.1
<br />.10
<br />5453.1-
<br />2150.2
<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 />618U.2
<br />2697.9
<br />20
<br />6992.0
<br />3310.1
<br />30
<br />5484.9.
<br />2202.2
<br />30.
<br />6195.3
<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 />S0-
<br />6234.6
<br />2737.0
<br />"50
<br />7054.5
<br />3358.5
<br />:88 .
<br />55 33.1
<br />2235.5
<br />95
<br />62 52,.8
<br />2751:3
<br />1102
<br />'7075.5
<br />3374.9
<br />10
<br />5540:2
<br />2240.7
<br />10
<br />6271.1
<br />2754.8
<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 />5U'
<br />5614:2
<br />2292.0
<br />50
<br />6344.8
<br />2819.-1
<br />;' -b0
<br />7151.7
<br />3457.6
<br />89
<br />5630.5
<br />2303-,5
<br />96- '
<br />6363:4
<br />2533.2
<br />`103
<br />7203.2
<br />3474.4
<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 />•'5603.4
<br />232(3.6
<br />20
<br />6400.8
<br />2S61.0
<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 />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 />-50
<br />7311.7
<br />3559.6
<br />190 •
<br />5729.7
<br />2373.3
<br />. 97
<br />6476.2
<br />2917.3
<br />•104,
<br />7333.6
<br />3576.8
<br />•10
<br />5746.3
<br />2355.1
<br />104
<br />6495.2
<br />2931.0
<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 />2408.0
<br />30•
<br />6533.4
<br />2960.3
<br />_
<br />30
<br />7309.41
<br />3629.2
<br />'..40
<br />5796.7
<br />2420.9
<br />40:.
<br />6552:6
<br />2974.7
<br />40
<br />7422.2
<br />364G.8
<br />50•
<br />581.3.6
<br />2.132.9
<br />50
<br />6571.9
<br />2989.2
<br />50
<br />7444.0
<br />3664,5
<br />91
<br />5930.5
<br />24.1.1.9
<br />98-.
<br />6591.2
<br />3003.8
<br />1055 -
<br />-7467.0
<br />3652.3
<br />10
<br />5347.5
<br />2467.1
<br />10
<br />6610.6
<br />3018.4
<br />10
<br />7489.6
<br />3700.2
<br />20
<br />5864.6
<br />24G9.3
<br />'20
<br />6630.1
<br />3033.1
<br />20
<br />7512.2
<br />3718.2
<br />30
<br />5581.7
<br />2.1,81.5
<br />30
<br />6649:G-
<br />3047.9
<br />30
<br />7534.9
<br />3736.2
<br />40-
<br />5898.8
<br />2403.8
<br />40
<br />6660.2
<br />3062.8
<br />40
<br />7557.7
<br />3754,4
<br />50
<br />5916.0
<br />.2506,1
<br />50"
<br />G68S.8
<br />3077.7
<br />50
<br />7580.5
<br />3772.6
<br />Int.
<br />Tangent
<br />External
<br />Int.
<br />-Angle ,
<br />Tangent
<br />External
<br />.,Curve 5° 1011'
<br />Angle
<br />15° 1 20°
<br />1 25°
<br />3O° 35° 40° 45° 50°
<br />55° 60° 65.
<br />TO°
<br />T=.33 GG
<br />1.0) 1.33;
<br />1.68
<br />2.02 2,36 2.70 3.05' 3.40
<br />3.77 4.14 4'.55
<br />4:89
<br />E =.125 .259
<br />.391 824
<br />.651
<br />.790 .026 1.00 1.29 1.34
<br />1.47 1,62 1.76
<br />1.01
<br />90° T=136 .72
<br />1.09, 11.45
<br />1.83
<br />2:20 2.57 2. 5.1 3.32 3.70
<br />11.07
<br />4,10 4.10 4,91
<br />5.3 20
<br />L =A49 . •299
<br />.450 ,003
<br />.756
<br />.910 1.22 1.38 1..54
<br />1.7 6.87 2.03
<br />2,2
<br />955° T=.34 _70
<br />I,19 I.55
<br />2.00
<br />2.40 80 3.20 3.61 4.02
<br />4.49 4.98 5.38
<br />5.83
<br />.E =.174 50
<br />.522 .706
<br />.93511.06
<br />1.25 1.43 1.62 LSO
<br />1.99 2:18 2.381
<br />2.58
<br />100° T=.43 -.861
<br />1.30 1.74
<br />I8
<br />I1.01
<br />2.62 3.06 3.50 3.05 0
<br />"4,4
<br />4.88 5,37 5.85
<br />6.34
<br />E=.200 .401
<br />,604 ',S09
<br />3834.0
<br />1:22 1.43 1.94 1.85 2.05
<br />.2.2812.50 2.73
<br />2.96
<br />105° T=.46 .04
<br />1.42 1_.00
<br />2.38
<br />2-87 3.34 3.84 4.35 4.84
<br />5.35 5.37 6,40
<br />6.93
<br />E=,230 .4,
<br />.700 .938
<br />1.17.1.42
<br />1.65 1. 0 2.14 2:39
<br />2.64 1 2.90 3.16
<br />3.41
<br />TABLE I. - Tangents;and Externals to a 1' Curve. VII'
<br />Chord =100 ft.'
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />-Angle ,
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />s
<br />External .
<br />100°
<br />7603.5.
<br />3791.0
<br />111°8336..7
<br />43SG.1
<br />116°
<br />9169.4 .
<br />50$2. T.
<br />10'
<br />-71126:6
<br />3809.4
<br />10'
<br />8362.7
<br />4.107.,6
<br />10'
<br />9190..1'
<br />•5107.9'
<br />9
<br />4.4c �.°8
<br />7640.7
<br />3827.0
<br />20
<br />8388.9
<br />4.129.2
<br />20
<br />9229.0`
<br />5133.3
<br />,'20.
<br />30
<br />7672.9.
<br />3846.5
<br />30
<br />8415.1
<br />'4450.9
<br />30,'
<br />9259.0-
<br />5155.8
<br />4U'
<br />76196.3
<br />386=.2
<br />40
<br />8441.5
<br />4472.7
<br />40
<br />'9289.2
<br />,1S4.5
<br />5U
<br />.
<br />7719.7
<br />3834.0
<br />50
<br />8463.0
<br />4494.G
<br />50
<br />9319.5
<br />.5210.3.
<br />107:
<br />7743.2
<br />3902.9
<br />112
<br />8444.6
<br />4516.6
<br />1.17• •
<br />9349.9
<br />5230:2
<br />10
<br />7766.8
<br />3921.9
<br />10
<br />8521,3
<br />..4538.8_
<br />10-
<br />9380.5
<br />5252:3
<br />20
<br />7790.5
<br />3940.9
<br />20
<br />8548.1
<br />"4561.1
<br />26
<br />9111.3
<br />5288'.6
<br />30
<br />7814-3
<br />3960.1
<br />30.
<br />8575.0
<br />4533.4
<br />•30
<br />9442.2
<br />5315.0
<br />40
<br />7838.1
<br />3479.4
<br />40`
<br />8602:1•
<br />4605.0
<br />40
<br />"
<br />9473.2
<br />5341.5=
<br />50
<br />7862.1
<br />3998.7.-
<br />50
<br />8629,3.
<br />4 628. 0
<br />50
<br />930,,4
<br />5368:2
<br />108••
<br />7886.2"
<br />4018.2
<br />11.3
<br />8956,6
<br />4651.3
<br />118
<br />9535.7.
<br />5395.1
<br />10
<br />7910.4,
<br />4037.8
<br />10
<br />868-1.0:
<br />4674- 2,
<br />10
<br />9567:2•
<br />5422.,1
<br />20
<br />7934.0
<br />4057.4
<br />20.
<br />8711..8
<br />4697.2
<br />20
<br />059S.9
<br />5449.2
<br />30
<br />-4077,2
<br />30
<br />5739.,2
<br />4720:3
<br />30-,
<br />9630.7 .-5476:5
<br />40
<br />.7959.0
<br />4097.1
<br />40
<br />8767.0
<br />4743.6
<br />40
<br />9662:6
<br />5504:0
<br />50•
<br />•7983:5'
<br />8008.0
<br />4117.0
<br />'- 50
<br />5794.9
<br />4766.9
<br />50
<br />9634:7
<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 />555914 .
<br />10,
<br />8057.4
<br />4157.3
<br />10'
<br />8851.0
<br />"42214',1
<br />-'10
<br />9759:4.
<br />5587.4
<br />20
<br />8082.3
<br />4177.5
<br />20
<br />8&79.3
<br />4537.8.
<br />20
<br />9792.01
<br />5615:5
<br />30
<br />8107,3
<br />4197.0
<br />30
<br />8907:7
<br />4861.1
<br />80,
<br />9824.8
<br />5643.8
<br />40
<br />8132.3
<br />4213.4
<br />40
<br />8936.3
<br />4885.7
<br />40
<br />9857.7
<br />5672.3
<br />50 ,
<br />8157.5
<br />4239.6
<br />50
<br />8%5.0
<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 />,120.9924.0"
<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.'G
<br />20
<br />8233.7
<br />4301.4
<br />20
<br />9051.7
<br />4953.1
<br />.20:
<br />9991.0
<br />5737.7
<br />30
<br />8250.3:
<br />4322.4
<br />30
<br />9080.9
<br />.5007.8
<br />30
<br />1UU25.0
<br />551,7.0
<br />• 40;.
<br />8225:0-
<br />4343.6
<br />40
<br />9110.3
<br />-5032.6
<br />_40.
<br />10059.0
<br />5346.5
<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 />Int.
<br />Cun a 5° 10° 1�
<br />2 0°
<br />25°
<br />36°
<br />35°', 40°
<br />45°
<br />50° S5°
<br />60°
<br />65° 70°
<br />Angle
<br />1.74
<br />ITF72
<br />3,06
<br />M5
<br />9
<br />4.4c �.°8
<br />5
<br />100°
<br />E=.200 :1011.604
<br />2. 1
<br />1., ':,
<br />1.13 1.C.1
<br />1.fi5
<br />2 OG
<br />2.50
<br />2.13 2.1.316'
<br />1.933
<br />165°
<br />E =.230 .401.00
<br />1.17
<br />SA2
<br />1 135 F 90
<br />2.14
<br />1.39 2.0S
<br />2.90
<br />3.10 3.41'
<br />T=.50 1.03 1.55
<br />12.08
<br />,2.60
<br />3•!4
<br />3.66 4.`LL
<br />4.76
<br />5.31 5.86
<br />6.43
<br />'1.01 7.59'
<br />]10°
<br />E =.200 .535 .8081
<br />168
<br />.1.86
<br />1.63
<br />1.91 P1�
<br />2.44
<br />2.61 3.05
<br />3.35
<br />3.65 3:95
<br />1.b211.939
<br />M3 6.44
<br />115°
<br />1.26
<br />1.57
<br />1.59
<br />24..2 12.5.1
<br />2.97-
<br />3.20 3.53
<br />3.88
<br />4..318,56:
<br />1 T=.G1 1_251 1.59
<br />1 52
<br />3.16
<br />3. 51
<br />4J4 5.11
<br />5,18
<br />GA4 7.11
<br />1.30
<br />8.5! 9.21
<br />120°
<br />I .720 1.08
<br />1`
<br />1.45
<br />1.82
<br />2.20
<br />'2.c6 2.95
<br />1 3.13
<br />3.72 4.10
<br />4.60
<br />4.01 5.32
<br />
|