|
VI TA11LErLi-',Tarigents.aud.Externals to a I`Curve.'
<br />Ch'otd =:100 ft:)
<br />gle':
<br />An
<br />T3ngerit
<br />lrxteinal
<br />Angle '
<br />Tangent
<br />External
<br />' aingle
<br />Tangent
<br />External
<br />{85°=•
<br />'5250'.3'
<br />2041:7
<br />924;''-%
<br />5933:2
<br />2518:5
<br />1991;1:;
<br />6708.6
<br />3092:7
<br />1!101
<br />5265.6;
<br />2052.1
<br />-%10:
<br />1950:5
<br />2531.0
<br />:110:
<br />6725:4
<br />'3107.7
<br />%•5-`20
<br />15281:0
<br />2062.5
<br />:20
<br />5967;9
<br />2543.5
<br />f20:
<br />6748:2
<br />3122.9
<br />-'•f_30
<br />15296:4
<br />2073.0
<br />•r30''
<br />5985:3
<br />2556.0
<br />30"
<br />67681.1
<br />3138.1
<br />{ 40
<br />`5311.9.
<br />2083.5
<br />;40.
<br />6002:7
<br />2368.6
<br />1,40:
<br />'6788:1
<br />3153.3
<br />0 '-50
<br />15327:'4
<br />2094.1
<br />' 501
<br />6020:2
<br />2581.3
<br />:,50.
<br />GS03:2
<br />3168.7
<br />'86'D-'
<br />5343:0
<br />2104:7
<br />93: ••f
<br />603718
<br />2594.0
<br />100 ;:
<br />;G828.3
<br />3184:1
<br />10
<br />15358:6`.
<br />2115,.3
<br />••10s
<br />605514
<br />2606.8
<br />10
<br />(6848':5
<br />3199.6
<br />�••%;20
<br />`5374.2;
<br />2126.0
<br />1.120`
<br />6073.1
<br />2519.7
<br />,-'20'
<br />6868.8
<br />3215.1
<br />r-30
<br />5389;9;
<br />2136.7
<br />:.:301
<br />6090.8
<br />2632.G
<br />:30
<br />-6889:2
<br />3230.8
<br />�--•40
<br />1540.5.G,
<br />2147.5
<br />.`-40•
<br />6108.6
<br />2645.5
<br />'.40
<br />".6909:6
<br />3246.5
<br />50
<br />'6421.4.
<br />2158.4
<br />.50
<br />6126:4
<br />2658.5
<br />S.0 50.
<br />(6930:1
<br />3262.3
<br />f81-�-:
<br />.5437.2'
<br />2169.2
<br />94. .::
<br />6144.3
<br />267rG
<br />101` -
<br />(6950:6
<br />327871
<br />10
<br />'5453:1'
<br />2180.2
<br />'-40'
<br />6162:6
<br />2684.7
<br />10'
<br />(6971.'3
<br />3294.1
<br />-20
<br />'5169.0
<br />2191.1
<br />20'
<br />6180.2
<br />2697.9
<br />20
<br />:6992'.0
<br />3310.1
<br />;•30
<br />5484.9'
<br />2202.2
<br />30,
<br />6198.3
<br />2711:2
<br />7.':30'
<br />17012:7
<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 />3368:5
<br />8S :1
<br />5533A
<br />2235:5
<br />95 '''
<br />6252.8
<br />2751'.3
<br />102 :;i
<br />:7075:5
<br />3374:9
<br />10
<br />'5549.2
<br />2246.7
<br />'.'.10:
<br />6271.1
<br />2764.8
<br />..110'
<br />1096.6
<br />3391.2
<br />2 1,20
<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.G
<br />40
<br />17160.3-
<br />.3440.9
<br />50
<br />5614.2
<br />2292.0
<br />50i
<br />6344.8
<br />2819.4
<br />•:-50
<br />(7181':7
<br />3457.G
<br />89' t:
<br />-5630.5
<br />2303.5
<br />96: ''d
<br />6363.4
<br />2833.2
<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 />5663.4
<br />2326.6
<br />20.
<br />6100'.8
<br />2361.0
<br />20
<br />+7246:3
<br />3508.2
<br />" 30
<br />5679.9
<br />2338.2
<br />30'
<br />6119:5
<br />2875.0
<br />C:'30
<br />.7268:0
<br />3525.2
<br />40
<br />56903.4
<br />2349.8
<br />40.
<br />6438.4
<br />2589.0
<br />40
<br />7289.8
<br />3542.4
<br />-.50
<br />-5713.0
<br />2361.6
<br />:b0
<br />6457.3
<br />2903.1
<br />-50
<br />7311.7
<br />3559.6
<br />-90 �
<br />5729.7
<br />2373.3
<br />97'...1'
<br />+6476.2
<br />2917:3
<br />104 -r1
<br />:7333.6
<br />3576:-8
<br />1 - 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 />•C•30
<br />5779.9
<br />2408.9
<br />30'
<br />C533:'4
<br />2960.3
<br />.1.30
<br />7399.9
<br />3629.2
<br />-40
<br />5796.7
<br />2420.9
<br />. 40
<br />6552.6
<br />2974.7
<br />1.(.40
<br />7422.2
<br />3646.8
<br />i;•6' -50
<br />-5813c6'
<br />2432.9
<br />_1.1,50'
<br />657119
<br />2989.2
<br />.1_50
<br />:7444.6
<br />3664.5
<br />-91 '°
<br />5830.b
<br />2441.9
<br />98'•---C
<br />•6591.2
<br />3003.8
<br />105
<br />7167:0
<br />3682:3
<br />10
<br />5847.5'
<br />2457.1
<br />;J 10:
<br />-6610.6
<br />3018.4
<br />10
<br />7.489.6
<br />3700.2
<br />1'20
<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 />-5581.7+
<br />2481.5
<br />:30'
<br />.6649.6
<br />3047.9
<br />30
<br />7534.9
<br />3736.2
<br />`=40.
<br />-5508.8
<br />2493.8
<br />A0
<br />=6669.2
<br />3062.8
<br />40
<br />:7557.7
<br />3754.4
<br />50
<br />'5916:'0
<br />2506.1
<br />=-501
<br />..6688.8
<br />3077.7
<br />50
<br />'7550.5
<br />3772.6
<br />---;--�Corrections•to-be Added (T=Tangelit.-v T .=External.)-
<br />Iat: F
<br />':1-5.
<br />Curve 5',
<br />10° •_ � 15' ' 20° ' ' Y° ' : 30° ' `35° .
<br />a ..
<br />"40° 45,° .50° ' S5° 60° 65° 70°
<br />Angle
<br />;
<br />Int.
<br />':Angle
<br />Tangent,
<br />$jo
<br />T=.33- ,
<br />.66 ' 1:00! 1.33 1.68-12,02,12.36:
<br />2.70 3.05 :3.40. 3.77 4.14 4.55 •4.89
<br />111°
<br />E =:128
<br />259 .301 .524 *.657 .790 -.926
<br />1.06'-1.20 -1.34 1.47 1.62 1.76 1.91
<br />'-
<br />T=.36
<br />" :72. 1:09 1.45 1.83 2.20 : 2.57
<br />2.94 3.32 3.70 4.10 4.50 4.91 5.32
<br />90°
<br />_
<br />E =.149
<br />,
<br />.296, y.450 -.603 .7501.910' 1.07'
<br />1.22 •1.38• 1.54 1.70 L87,12.03 12.20
<br />95°.,T=
<br />:30.
<br />79 1.19 1.55.2.00 2.40.2.80.
<br />3.20. 3.61 4.02; 4.49 4.98 5.38 5.83
<br />.7640.7
<br />E =:174
<br />.350 .522 .708 .985 1.06 1.25.
<br />1.43' 1.62 1.80 1.99 2.18 2.38 2.58
<br />1DO°
<br />T=.43
<br />:861 1.30' 1.74. 2.18 2.62 3.06
<br />3.50 3.95 4.40 4.88 5.37 5.85 6.34
<br />;:30
<br />'-
<br />E =.2C0 '
<br />.401 .604 .809 1.011.22 1.43
<br />1.64 11.8512.66 2.28 .2.50 2.73 2.96
<br />105°
<br />S,E
<br />2.87
<br />1 700 1.908
<br />13.84 1
<br />'5158.8
<br />=230
<br />13.34 1,.65
<br />1470 1.17 142
<br />1:90 2 14 2.39 2.G4 2100" 3.16 3.41
<br />TAs1.F I. - Tangents and Externals to a 1' Curve.
<br />-Lt,-
<br />Chord =100 ft:
<br />Iilt.
<br />Angle
<br />Tan%ent
<br />i
<br />External
<br />Int.
<br />." Angle :
<br />Tangent
<br />External
<br />Int.
<br />':Angle
<br />Tangent,
<br />External.
<br />106°
<br />•y7603:5
<br />3791.0
<br />111°
<br />8336 7:;4386.1
<br />116°' ,
<br />r
<br />9169:4
<br />5082.71
<br />10!'
<br />",20;
<br />-7626:6
<br />10'_
<br />3809..4
<br />30°
<br />8362:7
<br />4407.6
<br />i 1. 101• -
<br />9199:1
<br />'5167.9
<br />-
<br />.7640.7
<br />3827.9.
<br />20
<br />8388.9,
<br />4429.2
<br />-' 20 -'922910`
<br />1.74'
<br />'5133.3
<br />;:30
<br />'-
<br />,7672.9.
<br />3846.5
<br />30;
<br />8415. 1
<br />4456.9
<br />30^-'_9259.-0
<br />5.85
<br />'5158.8
<br />40-
<br />.7696.3.
<br />3865.2
<br />40
<br />.•8441.5
<br />4472:7
<br />40.
<br />0259.2':,5184.5
<br />1.64
<br />50
<br />77,19
<br />3884.0
<br />x50,
<br />8468.0
<br />449.4.6
<br />50;-;9319.5.-
<br />T=.46
<br />5210.3•
<br />107`
<br />7743.2'
<br />'3902.9
<br />112
<br />8494.6
<br />3.84
<br />117'_. ''-
<br />9349:9::5236.2
<br />5.35
<br />:10
<br />•7766.8
<br />3921:9
<br />10
<br />8521.3
<br />,'4516.6
<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".•9411:3''5288.6
<br />3.16
<br />3.41
<br />30
<br />7814':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 />3970.4
<br />40
<br />,5602:1
<br />4606:0
<br />', 40..
<br />0473.2
<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 />3.35
<br />3.65
<br />3.95
<br />115°
<br />T=•54
<br />1.13
<br />1.70
<br />2.29
<br />2.86
<br />108•
<br />7886.2
<br />4018:2
<br />113 "
<br />65
<br />86.6
<br />>A651.3
<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 />.8730':2.:4720:3
<br />5.11
<br />,.'30
<br />9630.7
<br />5476.5
<br />40
<br />7983.5'
<br />'4097.1
<br />"'40
<br />8767.0.'4743.6
<br />.720
<br />' '40:'
<br />.0662.6:
<br />5504.0
<br />50
<br />8008:0
<br />.4117.0
<br />50
<br />8794:9.:4766.9
<br />4.10
<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 />5559.45
<br />•10
<br />8057.4
<br />4157.3
<br />10
<br />8851.0
<br />4814.1
<br />,;
<br />16
<br />9759.4'
<br />5587.4
<br />20'
<br />8082.3
<br />4177.5,
<br />20:
<br />8879.3
<br />4837.8
<br />20 :'9792.0
<br />5615.5
<br />30
<br />8107:3
<br />4197.9.
<br />30
<br />8907.7.
<br />4861 .7
<br />•30
<br />9828'
<br />4.
<br />5643.8
<br />r 40
<br />-8132.3
<br />4218.4
<br />40
<br />8936.3.
<br />4885.7
<br />.: .40.r
<br />'9857:7
<br />5672.3
<br />50
<br />8157.5
<br />-4239'.0.,
<br />;50
<br />80G5;0'
<br />4909.9
<br />56
<br />'9890 S'-5700.9
<br />110.'.
<br />8182.8
<br />4259.7
<br />115'
<br />58993.8
<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 />:4983.'1
<br />- ' 20
<br />•9991:0:
<br />5787.7 .
<br />'30,
<br />'8259.3•'4322.4
<br />30
<br />-9080:0.
<br />5007.5
<br />1307.
<br />10025.0'
<br />5817.0
<br />40
<br />,8285.0,
<br />4343.6
<br />40
<br />X9110:3
<br />5032. G'
<br />1•'40'
<br />10059:0
<br />5846.5
<br />50
<br />-8310.8
<br />'4364:8
<br />.•50
<br />9139:8
<br />5057.'G'
<br />50'•
<br />10093.0
<br />5876.1'
<br />Corrections to be Added (T = Tangent. E = External.)
<br />Int:
<br />Angle
<br />Curve 5°
<br />10°
<br />15°
<br />206
<br />25°
<br />30°
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />70°
<br />T-.43
<br />x.86
<br />1.30
<br />1.74'
<br />2.18
<br />2.62
<br />3.06
<br />3.50
<br />3.95
<br />4.40
<br />4.88
<br />5.37
<br />5.85
<br />6.34
<br />- E=.200
<br />'.401
<br />.604
<br />.809
<br />1.01
<br />1.22
<br />1.43
<br />1.64
<br />1.85
<br />2.06
<br />2.28
<br />2.50
<br />2.73
<br />'2.96
<br />1056
<br />T=.46
<br />:94
<br />1.42
<br />1.00
<br />2.38
<br />2.87
<br />3.34
<br />3.84
<br />4.35
<br />4.84
<br />5.35
<br />5.87
<br />6.40
<br />6.93
<br />E=.230
<br />.:470
<br />.700
<br />.938
<br />1.17
<br />1.42
<br />1.65
<br />1.90
<br />2.14:
<br />2.39
<br />2.64
<br />2.90
<br />3.16
<br />3.41
<br />110"-:
<br />T7.60
<br />1.03
<br />1.55
<br />2.08
<br />2.60
<br />3.14
<br />3.66
<br />4.21
<br />4.76
<br />5.31
<br />b.86
<br />8.43
<br />7.01
<br />7.59
<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 />3.65
<br />3.95
<br />115°
<br />T=•54
<br />1.13
<br />1.70
<br />2.29
<br />2.86
<br />3.45
<br />4.03
<br />4.63
<br />5:23
<br />5.83
<br />6.44
<br />7.07
<br />7.7018-35
<br />E=.307
<br />.624
<br />.939
<br />1.26.
<br />1:57
<br />1.89
<br />2.21
<br />2.54
<br />2.87
<br />3.20
<br />3.53
<br />3.88
<br />4.23
<br />4.58
<br />120o,'
<br />r T=.61
<br />1.25
<br />1.89
<br />2.52 ,
<br />3:16
<br />3.81.
<br />4.44
<br />5.11
<br />5.78
<br />.6.44
<br />7.11
<br />7.80
<br />8.51
<br />9.21
<br />E=.339
<br />.720
<br />1.08
<br />1.45
<br />1.82
<br />2.20
<br />2.53
<br />2.05
<br />'333'
<br />3.72.
<br />4.10
<br />440
<br />4.91
<br />15.32
<br />
|