|
VI TAsla1 I. - Tangents and Externals to a-1° Curve.
<br />nl, „rr] _ 1 an sr. '
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />85°
<br />5250.3
<br />2041.7
<br />92°,
<br />5933.2
<br />2518:5
<br />99°- -
<br />6708.6
<br />3092.7
<br />10!
<br />5265.6
<br />.2052.1
<br />10'
<br />5950:5
<br />2531.0
<br />10'
<br />6728.4
<br />.3107.7
<br />- 20
<br />5281.0
<br />2062.5
<br />20
<br />5967.9
<br />2543.5
<br />20
<br />6748.2
<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 />31:
<br />'40
<br />5311.9
<br />2083.5
<br />-
<br />40
<br />6002.7.
<br />2568.6
<br />40
<br />6788.1 .
<br />3153.3
<br />50:
<br />5327.4
<br />•2094.1
<br />b0
<br />6020.2
<br />,2581.3
<br />60
<br />'6808.2
<br />3168.7
<br />$6 ''
<br />5343.0
<br />•2104.7
<br />93
<br />6037.8
<br />-2594.0
<br />100--
<br />6828.3
<br />• 3184'.1
<br />10
<br />5358.6
<br />2115.3
<br />10
<br />16055.4
<br />,2606.8
<br />10
<br />.6848.5
<br />3199.6
<br />,20
<br />5374.2
<br />2126.0
<br />20 -
<br />6073:1
<br />•2619.7
<br />`20
<br />6868.8
<br />..3215.1
<br />30
<br />'b389.9
<br />2136.7
<br />30 '
<br />6090.8
<br />2632,6
<br />30
<br />'6889.2
<br />3230.8
<br />40-
<br />5405.6
<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 />g7: •'
<br />5437:2
<br />2169.2
<br />94
<br />'6144.3
<br />2671.6
<br />401'
<br />'6950.6
<br />: 3278.1
<br />10'
<br />5453.1
<br />2180.2
<br />•10
<br />6162.6
<br />2684.7
<br />r 10'
<br />6971.3
<br />`6992.0
<br />3294.1
<br />20
<br />5469.0'
<br />2191.1
<br />•20
<br />6180.2
<br />2697.9
<br />20
<br />9598.9
<br />3310.1
<br />30'
<br />5484,9
<br />2202.2,
<br />30
<br />6198.3
<br />2711.2
<br />301-
<br />7012.7
<br />3326.1
<br />=40
<br />5500.9
<br />'2213.2
<br />1•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 />3358.5
<br />�_.
<br />5533,1
<br />2235!5
<br />-95
<br />6252.8
<br />2751.3
<br />102 '
<br />7075.5
<br />3374'.9
<br />-10
<br />5549.2
<br />2246.7
<br />10
<br />6271.1
<br />:2764.810'
<br />_'
<br />16 '.
<br />.7096.6
<br />3391.2
<br />20
<br />`55,35,4
<br />2258.0
<br />20
<br />6289.4
<br />2778:3
<br />20
<br />7117.8
<br />3407.7
<br />`30'
<br />°6581,6
<br />2269.3
<br />- 30 '
<br />6307.9'.2792.0
<br />'4861.7
<br />30'
<br />7139.0
<br />3424.3
<br />40
<br />',5597,8
<br />'2280.6
<br />40
<br />•6323.3
<br />2805.6
<br />40
<br />7160.3
<br />3440.9.
<br />bo
<br />5614:2
<br />2292.0
<br />-50
<br />6344.8
<br />'2819.4
<br />- 50
<br />.7181.7
<br />3457.6
<br />gg..
<br />5630.5
<br />2303.5
<br />96
<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 />6400.8
<br />2861.0
<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 />80
<br />7268.0
<br />3525.2
<br />40
<br />5696.4--2349.8
<br />4343,6
<br />40
<br />6438.4
<br />2889.0
<br />40
<br />7289:8'_3542.4__
<br />5846.5
<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 />5729.7
<br />]2373.3'
<br />f07 :',
<br />6476:2
<br />2917.31
<br />104
<br />7333.6
<br />. 3576.8
<br />,10
<br />15746.3
<br />.2385.1
<br />10
<br />6495.2
<br />2931.6
<br />10
<br />7355.6
<br />3594.2
<br />v•',20
<br />20 "
<br />6514.3-
<br />2945.9
<br />•20
<br />7377.8
<br />3611.7
<br />.`30-
<br />;5763:1
<br />5779.9
<br />,2397.0
<br />2408.9
<br />30
<br />6533.4
<br />•2960.3
<br />30-
<br />,7399.9
<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 />3646.8
<br />S0
<br />;5813.6
<br />.2432.9
<br />i
<br />:50
<br />6571.9
<br />'2989.2
<br />50'
<br />7444.6
<br />3664.8
<br />gl
<br />5830.5
<br />2444:9
<br />98 '
<br />6591.2
<br />3003.8
<br />,105
<br />7467.0
<br />'7489.6
<br />-3682.3
<br />'3700.2
<br />10
<br />6847.5,
<br />2457.1
<br />- 10
<br />6610.6
<br />3018.4
<br />10
<br />'20
<br />20•
<br />5864.6
<br />.2469.3
<br />20
<br />6630.1
<br />3033:1
<br />'
<br />7512.2
<br />3718.2
<br />7
<br />2481 5
<br />1 -
<br />30
<br />6649 6
<br />3047 9
<br />`30
<br />7534 9
<br />3736}2
<br />•' 30
<br />••10
<br />, 5881.
<br />2493.8
<br />40
<br />6669.2
<br />3062.8
<br />40
<br />'7557.7
<br />3754. •
<br />.:50
<br />•:SO
<br />(5898.8
<br />5916.0
<br />2506.1
<br />50
<br />1.66 88.8
<br />3077.7
<br />50
<br />7580.5
<br />;3772.
<br />PI
<br />1.34
<br />1.47 1.62 1.76 1.91
<br />3809.4
<br />T=.36
<br />72 1.09 1.45 1.83 2.26
<br />12.57
<br />2.94 3.32
<br />`
<br />'Corrections to be. Added (T =Tangent.
<br />'E. = External-)
<br />Int' Carve 5°
<br />Angle.
<br />10` 15° 20° .25° 30°
<br />.
<br />'35°'
<br />40° 45°
<br />50°
<br />55° 60° 65° 70°
<br />:
<br />T=,33
<br />.66 1.00 1.33 1.68 2.02
<br />2.36
<br />2.70 3.05
<br />3.40.
<br />3.77 4:14 4.55 4:89
<br />85,
<br />-
<br />E=,128
<br />.259 .391 .524 .,657 .790
<br />.926
<br />1.06 -1.20
<br />1.34
<br />1.47 1.62 1.76 1.91
<br />3809.4
<br />T=.36
<br />72 1.09 1.45 1.83 2.26
<br />12.57
<br />2.94 3.32
<br />3.70
<br />4.10 4.50 4.91• 5.32
<br />20°.
<br />E=.149
<br />299 .450 .603 .75G .910
<br />1.07
<br />1.22 1.38
<br />1:54
<br />.1.70 1.87 -2.03, 2.20
<br />9229.0
<br />T=.39 .
<br />:.79 1.19 1.55 2.00 2.40
<br />2.80
<br />3.20 3.61
<br />4.02
<br />4.49 4.98. 5.38' 5, 83
<br />2.38 2.58
<br />95°
<br />E =,174
<br />.350 .522..706 .985 1.06
<br />1.25
<br />1.43 1.62
<br />1.80
<br />1.99 2.18
<br />40
<br />T=.43
<br />86 1.30' 1.74 2.18 2.62
<br />3.06
<br />3.50 3.95
<br />4.40
<br />4.88 5.37 5.85 6.34
<br />'2:50
<br />•7719.7
<br />E=.200
<br />.401 .604 .809 1.01 1.22
<br />1.43
<br />1.64 1.85
<br />2.06
<br />2.28 2.73 2.96
<br />5210.3
<br />107,'
<br />'12. 297
<br />1
<br />.3902.9
<br />84
<br />8494.6,-.4516.6
<br />1 2.61
<br />105'
<br />' E= 230
<br />70 1.700 .42
<br />.4.9
<br />938 1.17 1.42
<br />1.65
<br />1,90 2:14
<br />2.89
<br />2.64 2.90 3 16. 3.41
<br />TABLE L - Tangents 'and Externals to a 1° Curve.
<br />` - = Chord =100 ft. '
<br />Int.;
<br />Angle
<br />Tangent
<br />External
<br />Irit.
<br />Angle -
<br />Tangent
<br />External
<br />Int
<br />Angle.
<br />Tangent
<br />External
<br />166°'
<br />760315
<br />3791.0
<br />111°.
<br />8336.7
<br />'4386.1
<br />116° -
<br />9169.4.
<br />5082.7,
<br />10'.7626.6
<br />174: 2.18
<br />3809.4
<br />10'
<br />'8362.7-
<br />4407.6
<br />101.,
<br />9199.1'
<br />5107.9
<br />20.
<br />7649:7
<br />`3827.9
<br />„
<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,-4450.9
<br />'4.84
<br />30-
<br />9259.0
<br />5158.8
<br />40
<br />7696.3
<br />3865.2
<br />40
<br />•8441.6
<br />.4472.7'_'
<br />40
<br />9289.2
<br />5184.5
<br />50i..
<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 />412
<br />8494.6,-.4516.6
<br />1 2.61
<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•'4561.1
<br />3.20
<br />•'20
<br />9411.3'
<br />5288.6
<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 />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 .-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,'4077.2,
<br />-30
<br />-8739.2
<br />4720.3
<br />30-
<br />9630.7
<br />5476.8
<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..4766.9
<br />50
<br />9694.7'
<br />5531.7
<br />109 -
<br />8632.7.
<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 />8851.0'.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
<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 />5672.3
<br />50=
<br />;8157.5`
<br />4239:0
<br />50
<br />8965.0'
<br />4909:9
<br />:80 -
<br />9890.8
<br />5700.9
<br />110
<br />8182.8
<br />4259.7
<br />115 .
<br />8993:8
<br />4934.1
<br />120' 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 30
<br />8259.3
<br />,4322,4
<br />:' 30
<br />9080.9
<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 ':10093.0
<br />5876.1
<br />-Corrections to be.Added. (T Tangent. E =External.)
<br />Int ,e
<br />Angie Carve 5° 10° 15°
<br />20° 1 25°
<br />1 30°
<br />1 35° 40°
<br />45°
<br />1 50°
<br />55°
<br />60°
<br />65° 1 70°
<br />100° T =.43 .86' 1.30,
<br />174: 2.18
<br />2,62
<br />3.06 3.50
<br />3.95
<br />4.40
<br />4.88
<br />5.37
<br />5.85 6:34
<br />E =.200 .401 ,601
<br />,809 1.01
<br />122
<br />1,43 1.64
<br />1.85
<br />-2.06'
<br />2.28
<br />2,50
<br />2.73 2,96
<br />105° - T=,46 .94 1.42
<br />1,90 2:38
<br />2.87
<br />3.34 3.84
<br />4.35
<br />'4.84
<br />5.35
<br />5:876.40
<br />6.93
<br />E=.230 .470 ,700
<br />.938 1.17
<br />1.42
<br />1,65 1.90
<br />2.14
<br />2.39
<br />2.64
<br />2.90
<br />3.16 3.41
<br />110° T=:50 1:03 1.55
<br />2.08 2.60
<br />3.14
<br />3,86 4.21
<br />4.76
<br />5.31
<br />5.86
<br />'6.43'
<br />7.01 7.59
<br />E=.260 .535 .808
<br />1.08 1.36
<br />1.63
<br />1.91 2.19
<br />2.49
<br />1 2.61
<br />3.05
<br />3.35
<br />3.65 3:95
<br />115° T=.54 1.13 1.70
<br />2.29 2.86
<br />3.45
<br />4.03 4,63
<br />5:23
<br />5.83
<br />6.44
<br />7.07
<br />7.70 8.35
<br />E =.307 .624 .939
<br />1.26 1.57
<br />1.89
<br />2.21 2.54
<br />2.87
<br />3.20
<br />3.53
<br />3.88
<br />4.23 4.58
<br />120° - ` T=.61 1.25 1,S9
<br />`2.52 3.16
<br />3.81
<br />4.44 5.11
<br />5.78T6.44
<br />7.11
<br />7.80
<br />8.51 9.21
<br />E =.339 .720 1.08
<br />1.45 1.82
<br />2.20
<br />2.56 2.95
<br />3.33 1
<br />3.72
<br />4.10
<br />4.50
<br />4.91 5.32
<br />I
<br />V
<br />
|