|
VI TABLE L°•- Tangent's and'Externals to a--1°•Curve::
<br />c1lord.=100 ff.. -
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />-Anle"
<br />Tangent
<br />External
<br />Int.
<br />Ane";, e-•.
<br />Tangent
<br />External
<br />,85°•
<br />5250'3
<br />2041.7
<br />92° -
<br />5933:2
<br />2518.5
<br />99° --
<br />6703.6
<br />3092.7
<br />.10'
<br />'526M
<br />2052.1
<br />10'
<br />5950.5
<br />2531.0
<br />--`10'
<br />6728.4
<br />'3107.7
<br />20
<br />`'1'80
<br />5281.0
<br />2062.5
<br />20
<br />5967.9
<br />2543.5
<br />20
<br />-6748-.2'
<br />3122.9
<br />2:02
<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 />.:_40
<br />6788.1
<br />3153.3
<br />50
<br />5327.41
<br />2094.1
<br />50
<br />6020.2
<br />2581.3
<br />-"-50
<br />6303.2
<br />3168.7
<br />`86.
<br />5343.0
<br />2104.7
<br />93 "
<br />•6637.8
<br />2594.0
<br />100''•`r
<br />•'6828.3
<br />3184'.1
<br />:10
<br />1-5358.6
<br />2115.3
<br />10*
<br />6055.4
<br />2606.8
<br />710
<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 />1G868:8
<br />3215.1
<br />s', 30
<br />;5389.9
<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 />b421:4
<br />2158.4
<br />•50-
<br />6126.4
<br />2658.5
<br />50
<br />G930:1
<br />3262.3
<br />,87
<br />5437.2,
<br />2169:2
<br />94-'1
<br />'10
<br />6144.3
<br />2671:0
<br />101 '"
<br />6950:6
<br />3278-:1
<br />10
<br />3.50
<br />2130.2
<br />-4.40
<br />;6162.6
<br />2684.7
<br />10
<br />6971.3
<br />5153:1
<br />3294.1
<br />-20
<br />.5469:0;
<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 />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 />50
<br />'6234.6
<br />2737.9
<br />50
<br />-7054.5
<br />3358.5
<br />C88
<br />5533.1
<br />2235.5
<br />956252.8
<br />2.90.
<br />2751':3
<br />102
<br />7075r'b
<br />3374:9
<br />;:10
<br />b549.2
<br />2246.7
<br />d0
<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 />6289:4
<br />2778.3
<br />20
<br />"71178
<br />'3407.7
<br />30
<br />5551:6
<br />2269.3
<br />30
<br />6307.9
<br />2792.0
<br />30
<br />7139.0
<br />342-1.3
<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 />50
<br />7181 7
<br />3457.6
<br />'89
<br />"5630.5
<br />2303.5
<br />96 ; -
<br />6363.4
<br />2833:2
<br />103'.'
<br />•7203.2
<br />3474.4
<br />c10,
<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 />2361.0
<br />•20
<br />72463.3:
<br />3503.2
<br />30
<br />5679:9
<br />2338.2
<br />30.
<br />6119:5
<br />2375.0
<br />30
<br />7268:0
<br />3525.2
<br />40
<br />'5696:4
<br />2349.8
<br />46
<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 />X6457.3
<br />2903,1 ,
<br />-50
<br />-7311.7
<br />3559.G
<br />" 90
<br />5729:7
<br />2373.3 i
<br />2385.1
<br />r97 }
<br />6476.2
<br />2917:3
<br />104 ::7333.6
<br />3576.8
<br />'3594.2
<br />10
<br />-20
<br />5746.3
<br />'•5763.1
<br />2397.0
<br />16
<br />20
<br />6495.2
<br />'G514.3
<br />2931.6
<br />2945.9 ;
<br />40
<br />20
<br />7355:6
<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 />'3029.2
<br />4. 40
<br />'5796.7
<br />2420.9 '
<br />_ ,40
<br />6552.6
<br />2974.7 •
<br />40
<br />-7422.2
<br />$3640.8
<br />50
<br />5813.6
<br />2432.9 ;
<br />'• 50
<br />6571:9
<br />2989.2
<br />'50
<br />�"7444.6
<br />(3664.5
<br />9T `x
<br />5830.5'
<br />2444.9
<br />',98
<br />6591:2'
<br />3003:8
<br />105 -:
<br />'7467:0
<br />3682.3
<br />10:
<br />5847:5
<br />F5864.6.
<br />2457.1,
<br />., 10
<br />6610.6,
<br />3018.4
<br />I -10
<br />7489:6
<br />3700.2
<br />20
<br />2469.3 '
<br />.'20
<br />6630:1'
<br />3033.1
<br />', 20
<br />7512.2
<br />'3718.2
<br />30 ('.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 />2493.8
<br />40
<br />6669.2
<br />3062.5
<br />'' 40
<br />'7557.7•
<br />'3754.4
<br />50 ''5916.0
<br />2506.1:
<br />50
<br />6688:8
<br />3077.7:
<br />50 .
<br />'7580.5' 1
<br />3772.6
<br />77' ' 4 ' '- Corrections to -be' Added _(T = Tangent: ° E: = External:)
<br />Int.
<br />Tangent
<br />External :
<br />Ynt: _
<br />Angle'
<br />Tangent
<br />External
<br />Int. ;
<br />:°Angle :
<br />Ta gffnt-
<br />External
<br />106
<br />; 7603. 11 5:
<br />37916
<br />111°
<br />8336 7,.4388
<br />1
<br />:'Angle.
<br />, Curve 5°
<br />10'.
<br />15°
<br />20
<br />-25°
<br />30°
<br />35°'
<br />40'
<br />45°
<br />50°:
<br />55°
<br />'60°
<br />65°
<br />70°
<br />30"
<br />T=.33
<br />•.66
<br />1.00
<br />1.33:
<br />1.68
<br />2:02
<br />2.36 12.70.
<br />3866.2,
<br />3.05
<br />3.40;
<br />+3.77
<br />4.14
<br />4.55
<br />4.89
<br />50 ;
<br />E=.128.
<br />-.259
<br />.391
<br />..524
<br />.657
<br />.790
<br />°926
<br />1.06'
<br />1.20
<br />1.34
<br />1.47
<br />1.62'
<br />1.76
<br />.1.91.
<br />906
<br />'T=.36
<br />_'.72
<br />1.09
<br />1.45'•
<br />1.83.
<br />2.20
<br />2.57.
<br />2.94
<br />3.32,
<br />3.70
<br />'4.10
<br />4-.50
<br />4.01
<br />5.32
<br />30
<br />E=.149
<br />.299
<br />.450
<br />..603
<br />..756
<br />.910
<br />1.07
<br />1.22
<br />1.38
<br />1.54
<br />1.70
<br />1.87'
<br />2.03
<br />2.20
<br />9-°
<br />T=:39 •L.4401
<br />'3993:7
<br />1.19
<br />1.55,
<br />2.00 2.40
<br />2.80
<br />3.20.
<br />3.61:
<br />4.02:
<br />4.49
<br />4.98
<br />5.38
<br />5.83
<br />4651;i3
<br />E =.174
<br />9535.7:
<br />9567.2,
<br />.522
<br />.706
<br />.985
<br />1.06
<br />.1.25
<br />1.43
<br />1.62
<br />1.80
<br />1.99
<br />2.18'
<br />2.38
<br />2158
<br />`100°
<br />T=.43
<br />< 8739.2.
<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 />5504.0
<br />5531.7
<br />' E =.200
<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 />2.50'2.73
<br />114.`
<br />2.96
<br />4790.4
<br />T =.46
<br />9727-.0•
<br />1.42
<br />1.90
<br />2.38
<br />2.87
<br />3.34
<br />3.84
<br />4354.5.35
<br />' X10 ,'9759.4-
<br />20,
<br />979210
<br />5.87
<br />6.40
<br />6.93
<br />4177.5
<br />�.E=230"
<br />8879.3
<br />8907.7
<br />..700 .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 />I�
<br />TABLE I. - Tangents and Externals to a •1° Curve. t
<br />�100Fft'
<br />:Angle
<br />Tangent
<br />External :
<br />Ynt: _
<br />Angle'
<br />Tangent
<br />External
<br />Int. ;
<br />:°Angle :
<br />Ta gffnt-
<br />External
<br />106
<br />; 7603. 11 5:
<br />37916
<br />111°
<br />8336 7,.4388
<br />1
<br />11.6°
<br />10' %'
<br />9169:4
<br />9199.1•
<br />5082:7
<br />5107.9'
<br />^10'.
<br />:7626.6,;
<br />3809..4.
<br />_' : • 10^
<br />20
<br />8362 7• ,
<br />83S8:Q
<br />4-407.6
<br />4429
<br />20,
<br />9229.0
<br />5133.3
<br />20'
<br />_._30',
<br />7649:7'
<br />3827.9.
<br />3846.5
<br />30"
<br />8415,1.;
<br />..2
<br />4450:9
<br />30
<br />9259•.0-,
<br />5158.8
<br />5184.5
<br />.40;
<br />.7672.9.
<br />"7696:3:
<br />3866.2,
<br />,; 40 '
<br />8441.51
<br />8468:0,,
<br />4472.7
<br />4494.,6
<br />_ 40v.
<br />50 '
<br />9289.2
<br />9319.5'
<br />5210.3
<br />50 ;
<br />7713.7
<br />3884.0 ;
<br />,' ;50.:
<br />.
<br />107 •
<br />7743.2'
<br />3902.9
<br />112
<br />8494 6''4516
<br />G
<br />-1171 -
<br />J 10
<br />9349 9'
<br />9380.5;'5262.3
<br />5236.2
<br />10
<br />7766.8
<br />3921.9
<br />10,
<br />20
<br />-8521:3,'4538.8
<br />8548.1''
<br />` 4561 A
<br />:
<br />=.20 -
<br />9411 t 3;
<br />' 5288.6
<br />"20
<br />30...7814.3.
<br />, 7790:5
<br />3940.9
<br />30
<br />8575.0.'4583:'4
<br />3.66'
<br />.
<br />" '.30.,
<br />9442.2".
<br />5315.Q
<br />W
<br />7838.1 „
<br />,3940:1'
<br />3979.4
<br />40
<br />. 8602:1•"
<br />4606:0
<br />,40::.
<br />`,
<br />9473;2,:
<br />9504:4„
<br />5341.5
<br />5368.2
<br />::50'
<br />'7362.1
<br />'3993:7
<br />50
<br />8629'73'
<br />, 4628:6
<br />,`50,:.`
<br />3.95
<br />108
<br />7886.2
<br />4018.2
<br />11.3
<br />8656.6
<br />4651;i3
<br />"118'!
<br />9535.7:
<br />9567.2,
<br />5395.1
<br />5422.1
<br />•10
<br />'7910.4
<br />4037.8
<br />10
<br />20
<br />8684.0
<br />8711.5
<br />4674:2
<br />4697:2
<br />-10'
<br />20
<br />9598.9
<br />5449.2
<br />20,
<br />30'
<br />7934.6'
<br />7959. 0.
<br />4057.4;
<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 />.i.`.40 ,•9662.6
<br />C50
<br />4.44•
<br />5504.0
<br />5531.7
<br />150.
<br />:8008.0
<br />4117.0
<br />50
<br />8794,9.
<br />4766.9
<br />,,.9694:7
<br />".720
<br />1.03
<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 />8057.4
<br />4157.3
<br />10
<br />8851:0
<br />4814.1
<br />' X10 ,'9759.4-
<br />20,
<br />979210
<br />5587.4'
<br />5615.5
<br />;20:
<br />8082.3.
<br />4177.5
<br />20
<br />30
<br />8879.3
<br />8907.7
<br />4837,.8
<br />'30
<br />9824.8._
<br />5643.8
<br />'30
<br />8107.3
<br />;8132.3
<br />4197.9
<br />4218.4
<br />40
<br />8936:3
<br />.4SG1.7
<br />4835.7
<br />40
<br />9857.7,,
<br />5672.3
<br />.'40
<br />50_
<br />8157.5
<br />4239.0
<br />50
<br />8965:0
<br />4909t0
<br />-50
<br />9300.8
<br />5700.9
<br />110
<br />8182.8.
<br />4259.7..115
<br />.8993`8
<br />4934°1'
<br />120
<br />10'
<br />9924',0
<br />9957-.5
<br />5729.7
<br />5758.6
<br />10
<br />8208.2'
<br />'8233:7,'
<br />'4280.5
<br />4301.4'
<br />10
<br />20
<br />,9022.7'
<br />19051.7
<br />4958.6
<br />4983.1
<br />'20.:
<br />9991.0„
<br />5787:7 .
<br />.:20-
<br />30'
<br />4322.4
<br />30
<br />:.9080.9
<br />5007.8.:'`
<br />30_
<br />1002570'
<br />5817.0
<br />40
<br />;8259.3
<br />'8285:0''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 />S0
<br />.9139.8
<br />5057.6'
<br />" -50,1
<br />10093'0.
<br />5876.1
<br />Corrections to be Added (T- Tangent: E = External:)
<br />Curve 5°
<br />10°.:
<br />15°
<br />20°
<br />25°
<br />30°
<br />.35°
<br />40° ,_45°
<br />50°
<br />S°
<br />,60°
<br />65°
<br />Angle
<br />1.
<br />100°.
<br />T =.43
<br />E =.200 :
<br />.86
<br />.401
<br />1.30
<br />.604
<br />1.74
<br />.809
<br />2:18
<br />1.01
<br />2.62
<br />1.22
<br />3.06;
<br />1.43
<br />3°50 3.95
<br />1.64 1.8�
<br />4.40
<br />2.06
<br />4:88
<br />2.28
<br />5.37
<br />2.50
<br />5:85
<br />2.73
<br />6.34
<br />2.96
<br />40
<br />1.938
<br />105°
<br />E =260
<br />.440 1
<br />1.17
<br />1.42
<br />1.65
<br />1.90 2.14,
<br />2.39
<br />2.64
<br />2.90
<br />3.16
<br />3.41
<br />T =.50
<br />1.03
<br />1.55
<br />2.08
<br />2.60
<br />3.14
<br />3.66'
<br />4.21 4.76
<br />5.31
<br />5.86
<br />6.43
<br />7.01
<br />7.59
<br />110°
<br />E =.260
<br />.535
<br />.808
<br />1.08'
<br />1.36
<br />1.63
<br />1.91
<br />2.19 2.49
<br />2.61
<br />3.05
<br />3.35
<br />3.65
<br />3.95
<br />T=.54
<br />1°13.
<br />1.70
<br />2.29
<br />2:86
<br />1 3.45
<br />4.03
<br />4.63 5.23
<br />5.83
<br />6.44
<br />7.07
<br />3.88
<br />7.70
<br />4.23
<br />.8.35
<br />'4:58
<br />115°
<br />E =.307
<br />.624
<br />.939
<br />1°26:
<br />1.57
<br />1.80
<br />2.21.
<br />2.54 2.87
<br />3.20
<br />3.53
<br />T=.61
<br />1.25
<br />1.89
<br />2.52
<br />3.16
<br />3.81
<br />4.44•
<br />5.A1 5.78
<br />6.44
<br />7:11
<br />7.80
<br />8.51
<br />9.21
<br />120°:.
<br />"E =.339
<br />".720
<br />1.03
<br />1:45
<br />1.82
<br />2.20
<br />G
<br />2.95 3.33'
<br />3.72
<br />4.10
<br />4.50
<br />4°91
<br />5.32
<br />
|