|
V1 TABLE I. Tangents and Externals to a, 1° Curve.
<br />Ch nrd =100. it:
<br />Int.
<br />- Angle
<br />Ta[>,�ent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />E.temal
<br />Int. Ip
<br />Angle {•Tangent.
<br />1.08 2,02 2.30
<br />Emernal
<br />650
<br />5250._3
<br />2041.7'
<br />"92°
<br />5933,2
<br />2518.5
<br />99°
<br />670S.6
<br />3092.7
<br />10'
<br />5265.6,
<br />2052.1
<br />10'
<br />5900.5
<br />2531,0
<br />10'
<br />.6728.4
<br />3107.7'
<br />20
<br />5231,01
<br />2062.5
<br />20
<br />5967.9
<br />2543.5
<br />20
<br />G748.2
<br />3122.0
<br />30-
<br />529G,4
<br />2073.0
<br />' 30
<br />5935.3
<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 />5327.4
<br />2094.1
<br />50
<br />6020.2
<br />2581.3
<br />50
<br />GS08.2
<br />3168,7
<br />86
<br />5,143.0
<br />2101.7
<br />03
<br />6037.5
<br />2594.0,
<br />100
<br />6828.3
<br />3184,1
<br />10
<br />5358.6'
<br />2115.3
<br />10
<br />6055.4
<br />2606;8
<br />10
<br />0848.5.
<br />3199.6
<br />'20
<br />5374.2
<br />2126.0
<br />'20
<br />6073.1
<br />2619.7
<br />20
<br />GSGS.8
<br />3215.1
<br />30
<br />5359.9
<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 />60
<br />5421.4
<br />2158.4
<br />50
<br />6126.4
<br />2658.5
<br />50
<br />6930.1
<br />3262.3
<br />`87 '
<br />5437.2
<br />2169.2
<br />94
<br />6144.3
<br />2671.6
<br />101
<br />6950.6
<br />3275.1
<br />10
<br />5453.1
<br />21S0.2
<br />10
<br />6162.G
<br />2684.7
<br />10
<br />6071.3
<br />3294.1
<br />20
<br />54G9.0
<br />2191.1
<br />20
<br />6180.2
<br />2607.9
<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 />5x00.9
<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 />7051.5
<br />3358.5
<br />88
<br />5533,1
<br />2235.5
<br />95
<br />6252.8
<br />2751.3
<br />'10�
<br />7075,5
<br />3374.9
<br />10
<br />5549.2
<br />2246.7
<br />10
<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 />2775.3
<br />20
<br />7117.8
<br />3407.7
<br />30
<br />5581.6
<br />2269.3
<br />30
<br />6307.0
<br />2792,0
<br />30
<br />7139,0
<br />342,1 .2
<br />40
<br />5597.8
<br />2250.6
<br />40
<br />6326.3
<br />2305.6
<br />40
<br />7160.3
<br />3440:9
<br />.. 50
<br />5614.2
<br />2292.4
<br />60
<br />6344.5
<br />2313.4
<br />50
<br />7181.7
<br />3457.6
<br />89
<br />5680.5
<br />2303.5
<br />DG
<br />G363.4
<br />2333.2
<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 />3503,2
<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 />5696:4
<br />2349.8
<br />40
<br />6438.4
<br />28S9.0
<br />40
<br />7289.8
<br />3542.4
<br />50
<br />5713.0
<br />2261.5
<br />50
<br />6457.3
<br />2903.1
<br />50
<br />7311.7
<br />3559.6
<br />00
<br />5729.7
<br />2373.3
<br />91
<br />6476.2
<br />2917.3"
<br />104
<br />7333.6
<br />3576.3
<br />10
<br />5746.3
<br />2385.1
<br />10
<br />6495.2
<br />2931.6
<br />110
<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 />30
<br />7399.9
<br />3629.2
<br />40
<br />5796.7
<br />240.0
<br />40
<br />6552.6
<br />2974.7
<br />40
<br />7422.2
<br />364G.3
<br />50
<br />. 5S13,6
<br />. 2432.9
<br />50
<br />6571.9
<br />2059.2
<br />50
<br />7144.6
<br />3664,5
<br />01
<br />5830.5
<br />2444.9
<br />98
<br />6591.2
<br />3003.8
<br />105
<br />7467.0
<br />3692:3
<br />10
<br />5847.5
<br />2457.1
<br />10
<br />6610.6
<br />3013.4
<br />10
<br />7489.6
<br />3700.2
<br />20
<br />5S64.G
<br />2469.3
<br />20
<br />6630.1
<br />3033.1
<br />20
<br />7512,2
<br />3718.2 .
<br />30
<br />5881.7
<br />2431.5
<br />30
<br />.6049.6
<br />3047.9
<br />30
<br />7534.0
<br />3736.2
<br />40
<br />5S98.8
<br />2493.8
<br />40
<br />6669.2
<br />'3062.8
<br />"40
<br />7557.7
<br />3754.4
<br />50
<br />5916.0
<br />2505.1
<br />50
<br />6688.8
<br />3077.7
<br />50
<br />7580.5
<br />3772.6
<br />Corrections t4 be Added (T =Tangent. E. =External.)
<br />Angle Curve 5° 10° 15° 20°
<br />25° 30° 350
<br />40°
<br />45° 50°
<br />55° 60 65°
<br />70°
<br />T=,33 .66 L00 1.33
<br />1.08 2,02 2.30
<br />2,70
<br />3.115 3.40
<br />3.77 4.14 4.55
<br />4.89
<br />85°
<br />E=.128 ,259 .391 .524
<br />.657 ,790 .926
<br />1.06
<br />1.20 1.34
<br />1.47 1.62 1.76
<br />191
<br />T=.36 1.09 1.45
<br />1.83 2.20 2.57
<br />2.94
<br />3.33 3.70
<br />4.10 4.5Q 4.91
<br />5.32
<br />90° .72
<br />E =,149 .290 .450 .603
<br />.756 _910 1.07
<br />1.22
<br />1.38 1.54
<br />1.70 1.87 2.03
<br />2.20
<br />�' ° T-.39 . .79 1.19 1.55
<br />2.00 2,40 2.80
<br />3.20
<br />3.61 4.02
<br />4.49 4.98 ( 5.33
<br />5.83
<br />E=174 .350 .522 .706
<br />,985 1.06 L25
<br />143
<br />1.62 1.90
<br />L99 2.18 j 2.38
<br />2.58
<br />T=.43 .86 1:30 1.74
<br />2.18 2.62 3.06
<br />3.50
<br />3.05 4.40
<br />4.88 5.37 5.85
<br />0,24
<br />100°
<br />E=.200 401 .601 .809
<br />1.01 i.23 1.43
<br />1.64
<br />1.85 2.06
<br />2.2812.50 2.73
<br />2,96
<br />'1':A1 1.42 1.90
<br />2.38 2.67 3.34
<br />3.8x
<br />4.35 4.84
<br />5.35 5.87 1.40
<br />6.93
<br />105° .94
<br />E=.230 '` .470' .700 .938
<br />1.17 1.42 1.05
<br />1,90
<br />214 2.30
<br />2.64 1 2.00 3.16
<br />3.41
<br />TADLE 1, - Tarigents and Externals to a 1° Curve. Vil
<br />Chord= 100 it.
<br />Int.
<br />Angle .1
<br />I
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Lnt.
<br />Angle
<br />I Tangent.I
<br />External
<br />166'
<br />7603.5
<br />2791.0
<br />111°
<br />8336.7.
<br />4386.1
<br />110°
<br />9169.4•
<br />5052.7
<br />10'
<br />76'26.6
<br />3809.4
<br />10'
<br />8362.7,
<br />4407..6
<br />10'
<br />9149.1
<br />5107.9
<br />20
<br />764J.7
<br />3827.0
<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 />:4450.9
<br />30
<br />.9259.0
<br />5158.8
<br />40
<br />7690.8.
<br />3865.2
<br />40
<br />8441.5
<br />-4472.7
<br />40
<br />9259.2
<br />51&1.5
<br />50
<br />7719.7
<br />3834.13
<br />50
<br />8468.0
<br />4404.6
<br />50
<br />9319,5
<br />5210.3
<br />107
<br />7743.2
<br />3902.9
<br />113
<br />5494.6
<br />4516,6
<br />117
<br />9249,0
<br />5236.2
<br />10
<br />7766.8
<br />3921.9
<br />113
<br />8.521.3
<br />4538.8
<br />10
<br />W.M. F,
<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 />52S8.6
<br />30
<br />7814.3
<br />3960.1
<br />30
<br />8575,0
<br />4583.4
<br />30
<br />0442.2
<br />5315.0
<br />40
<br />7833.1
<br />3979:4
<br />40
<br />5602,1
<br />4606,0
<br />40
<br />9473.2
<br />5341.5'
<br />50
<br />7862.1
<br />39987
<br />50
<br />8629.3
<br />.4625,6
<br />50
<br />9501:.4
<br />53GS.2
<br />108
<br />78SG.2
<br />4018.2
<br />113 -,
<br />86.;6.6
<br />4651.3
<br />118
<br />9535.7
<br />5595.1
<br />10
<br />79 10. 4
<br />4037.8
<br />10
<br />-8084..0
<br />4674.2
<br />10
<br />9567.3
<br />5422.1
<br />X20
<br />7934.G
<br />4037.4
<br />20
<br />8711.5
<br />4697.2
<br />20
<br />9598J�
<br />5449.2
<br />30
<br />7959.0
<br />4077.2
<br />30
<br />5739.2
<br />4720.3
<br />30
<br />9630.7
<br />547G..5
<br />40
<br />7953.5
<br />4097.1
<br />40
<br />8767;0
<br />4743.6
<br />40
<br />9602.0
<br />5504:.0
<br />50
<br />8003.0
<br />4117;0
<br />50
<br />8794.9
<br />4766.9
<br />50
<br />9691.7
<br />5531,7
<br />109
<br />8032.7
<br />4137.1
<br />114
<br />8322.9
<br />4790.4
<br />119
<br />0,727.0
<br />5559.4
<br />10
<br />S057.4
<br />4157.3
<br />10
<br />8851.0
<br />4814.1
<br />10
<br />9759.4
<br />5537.4
<br />.20
<br />8082.3
<br />4177.5
<br />20
<br />8879.3'
<br />4837.8
<br />20
<br />9792.0
<br />5815.5
<br />30_
<br />8107.3
<br />4197.9
<br />30
<br />5907:7
<br />.MI.7
<br />30
<br />9824.8
<br />.5643.3
<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 />50
<br />9390.8
<br />5700.9
<br />Ito
<br />8182.6
<br />4259.7
<br />115
<br />8993.8
<br />4934:1
<br />120
<br />9924.0
<br />5729.7
<br />10
<br />8203,2
<br />4260:5
<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 />0051.7
<br />4983:1
<br />20
<br />0901.0
<br />5767.7
<br />30
<br />8259.3
<br />4322.4
<br />30
<br />9030,9
<br />5007.8
<br />30
<br />10025.0
<br />5317.0
<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 />4304.8
<br />50
<br />9139.8
<br />5057.6
<br />50
<br />10003.0
<br />•5876.1
<br />Corrections to he Added (T = Tangent. � E = External.)
<br />lllt,
<br />.45°
<br />Auol°
<br />Cwt -e 5°
<br />10°
<br />15'
<br />24° 25°
<br />30°
<br />35°
<br />40°
<br />1 50° 53°
<br />60°
<br />65°
<br />70°
<br />=00°
<br />T=.43
<br />.86
<br />1.30
<br />1.74 2.18
<br />2.0'2
<br />3.06
<br />3.50
<br />4.83
<br />5.37
<br />5.85
<br />6.34
<br />E=.20 _
<br />..40I
<br />.601
<br />.809 1-01
<br />1.22
<br />1,43
<br />1.64
<br />2.23
<br />2.50
<br />2.13
<br />2.R6
<br />105°
<br />T-AA
<br />94
<br />L42
<br />1 �0 2.13
<br />2.87
<br />3.34
<br />3,84
<br />`
<br />x.35
<br />+142.
<br />5.37
<br />---T-
<br />6.40
<br />G. S3
<br />F.700
<br />;933 1.17
<br />1.42
<br />1.55
<br />1,90
<br />2.61
<br />2.90
<br />3.16
<br />3.41
<br />119°
<br />T=.50
<br />1.031.55
<br />2,08 2.60
<br />3.14
<br />3.66
<br />4.21
<br />4.76
<br />5.31 5,56
<br />13.05
<br />6.4;17.01
<br />7,610
<br />E ='.260
<br />.5351
<br />.806
<br />1,08 1,33
<br />1.63
<br />1.01
<br />2.19
<br />2.49
<br />2.61
<br />3.35
<br />3.6,"5
<br />3,95
<br />115°
<br />T =.54
<br />1.13
<br />5.70
<br />12.29 2.80
<br />3.45
<br />4.03
<br />4.63
<br />5.25
<br />5.83 0:14
<br />13
<br />7.07
<br />7.70
<br />8.35
<br />-
<br />-."47
<br />1 v
<br />tlL 4
<br />9
<br />0 .
<br />3
<br />1._G 1.57
<br />I
<br />L89
<br />2,25
<br />25
<br />.x41
<br />_.8 -
<br />�
<br />20 '.,
<br />�.3
<br />3.34
<br />4..,3
<br />a
<br />_.58
<br />_
<br />120°
<br />T=.61
<br />E =.339
<br />1.25 11.89
<br />:720
<br />1.08
<br />282 3.16
<br />1,45 1.82
<br />3.31
<br />2.20
<br />4.44
<br />2.66
<br />5,115.78
<br />2,95
<br />0.46 2.11
<br />3.72 4.19
<br />7.8V
<br />4.501
<br />_
<br />&.5l
<br />4.91
<br />9.21
<br />5.32
<br />3.33
<br />I
<br />F
<br />
|