|
VI TaBLi I:=..-Tangents'and'Externals to a-19 Curve:
<br />Clioid'=100 ft:'
<br />I- -Int. � .
<br />Angle
<br />Tangent.
<br />External.
<br />Int''
<br />-Angle
<br />Tangent
<br />External
<br />Int. -
<br />-Angle
<br />Tangent'
<br />External
<br />Si.
<br />5253,3
<br />2041,7
<br />X92' .-
<br />5933'2
<br />251815
<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 />3138.1
<br />9o°,`
<br />-T=.36
<br />-E=-149.
<br />2083.5
<br />40:
<br />•6002J7
<br />2568.6
<br />e�40
<br />'6788.1
<br />3153.3
<br />111.1-'-40;5311':9
<br />50
<br />5327;4'
<br />2094.1
<br />'56
<br />6020.2
<br />2581.3
<br />50
<br />G303:2:
<br />3168.7
<br />So -
<br />-5343.01
<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 />'6055.4
<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 />2010.7
<br />20
<br />6868:8
<br />3215.1
<br />30.5389.9
<br />E =.174
<br />2136.7
<br />-•;•30
<br />6090.8
<br />2032:6
<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 />87
<br />5437.2
<br />2169.2
<br />94
<br />'G144.3
<br />267l'A
<br />101
<br />6950`,'6
<br />3278:1
<br />10
<br />5453.1,
<br />2180.2
<br />-10
<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 />1 6180:2
<br />2697.9
<br />20
<br />6992:0
<br />'3310.1
<br />30
<br />:5484.9;
<br />2202.2
<br />30
<br />16198.3
<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 />^88 °
<br />,1
<br />'15533.1.
<br />2235.5
<br />95 ,-
<br />6252.8
<br />2751.3
<br />102' -
<br />7075:5
<br />3371`:9
<br />:.10
<br />.55402
<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 />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 />17139.0
<br />3424.3
<br />" .40
<br />'5597.8
<br />2280.6 ,
<br />' 40
<br />6326.3
<br />2805.6
<br />40
<br />'17160.3
<br />3440.9
<br />°''S0
<br />5614.2;
<br />2292.0 ;
<br />50
<br />6344.8
<br />2819.4
<br />50
<br />7181.7
<br />`3457.6
<br />88;.''.
<br />5630:5
<br />2303:`5
<br />'96'_.
<br />6363.4
<br />2833.2
<br />103`
<br />7203:2
<br />3474.4
<br />20
<br />:8233.7
<br />2315.0:
<br />10
<br />G382:1
<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 />-
<br />2861.0
<br />20
<br />7246.3
<br />3503.2
<br />x-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 />'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 />6457.3
<br />2903.1
<br />50
<br />:7311:7'
<br />'3559.6
<br />`;90
<br />,"5729.7
<br />2373.3
<br />97.'.
<br />6476:2
<br />2917.3
<br />104,7333:6
<br />3576'8
<br />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 />13611.7
<br />30
<br />•5779.9
<br />2408.9.
<br />30
<br />6033.4
<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 />'50
<br />5813.6
<br />2432.9 .
<br />50
<br />6571.9
<br />2089.2
<br />'50
<br />7444.6
<br />3664:5
<br />91.. ,"583015
<br />2444,9
<br />98 .
<br />6591:2
<br />3003.8
<br />105
<br />7467:0
<br />3682:3
<br />t'10'
<br />5847,5
<br />2457.1.
<br />- .106610.6
<br />3018.4-10
<br />•_7489.6
<br />'3700.2
<br />20
<br />5864.61
<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 />2481.5•
<br />•-'3q
<br />'6649.6
<br />3047.9
<br />•- 30
<br />7534.9.
<br />•3736.2
<br />40
<br />5898.8,
<br />40
<br />6669.2
<br />3062.8:
<br />40
<br />7557.7
<br />3754.4
<br />50
<br />5916.0
<br />.2493.8;
<br />2506.1'
<br />50
<br />6688.8
<br />3077.7
<br />50
<br />7580:5
<br />3772,6
<br />Corrections to -be- Added -'(T =Tangent.-
<br />E. =-External.) ------ -
<br />'Int.
<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 />85o
<br />T=.33"
<br />.66
<br />1.00
<br />1.33
<br />1 682-12
<br />.' 10';
<br />2.36
<br />2.70
<br />.3.05
<br />3.40
<br />3.77
<br />4.14
<br />4.55
<br />4.E9
<br />.401
<br />E =:128
<br />.259
<br />.391
<br />.524
<br />.657
<br />.790
<br />.92611.06-
<br />3846:5'
<br />1.20
<br />1.34
<br />1.47
<br />1.62
<br />1.76
<br />,1.01.
<br />9o°,`
<br />-T=.36
<br />-E=-149.
<br />.72
<br />1.09
<br />1.45"
<br />1.83
<br />2.20
<br />2.57
<br />12.9C
<br />3.32,
<br />3.70
<br />4.10
<br />4:50
<br />4,91
<br />5.32
<br />50
<br />9319.5
<br />-
<br />.299
<br />A50
<br />.603
<br />..756
<br />.910
<br />1.07-
<br />1.22'-1.38
<br />117'. ." "
<br />1.54
<br />1.70
<br />1:87-
<br />2.03
<br />2.20
<br />yso••:
<br />'T=.39
<br />.79.
<br />1.19 .1.55
<br />,2.00
<br />5262.3
<br />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 />-40
<br />E =.174
<br />,350
<br />.5221-
<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 />2.58
<br />'-100°
<br />T =.43
<br />: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 />8.34
<br />:10
<br />-8684.0
<br />':4674.2
<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 />105° -1,42
<br />9�2
<br />4077:2
<br />- ,30
<br />1.90
<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 />40:.•9662.6'
<br />4:10
<br />5504.0
<br />.700
<br />^38
<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 />13.41
<br />TAa1 E I. - Tangents and Externals to a 1° Curve.
<br />-.'Chord=100ff. - .s.f:_--• .. ...r..
<br />Int.Int:
<br />Angle
<br />'Tangent
<br />External
<br />-,Angle
<br />Tangent
<br />External
<br />Int, '
<br />' Angle --=:Tangent
<br />"35°
<br />External
<br />106°
<br />':7603:5:
<br />3791:0,
<br />111°
<br />8336.7
<br />4386.1
<br />116° .,
<br />91169:-4•
<br />5082:7,
<br />10'
<br />' 7626.6-
<br />'3809.'.4,
<br />.' 10';
<br />8362.7
<br />4407.6
<br />10'`
<br />9199: 1T';
<br />=5107.9
<br />20
<br />7649.7:
<br />3827:9.
<br />.401
<br />8388.9,
<br />4429.2
<br />20
<br />9229.0
<br />5133.3
<br />r 30.
<br />7672':9'
<br />3846:5'
<br />.'..,20
<br />30
<br />8415:1.
<br />4450.9;
<br />30
<br />9259:0.
<br />5158.8
<br />40
<br />:7696.3
<br />3865.2
<br />-.,40
<br />, 8441.5.
<br />4472:7';:,
<br />„ 40
<br />9289.2.
<br />5184.5
<br />-:50'.
<br />:7719.7:
<br />3884:0
<br />50_
<br />8468.0
<br />4494.6!
<br />50
<br />9319.5
<br />-
<br />5210.3
<br />307i '.
<br />> 7743.2
<br />3902.9
<br />112
<br />8494:6'
<br />4516:6
<br />117'. ." "
<br />9349:9.
<br />5236.2
<br />-10
<br />.7766:8.
<br />3921.9
<br />- 40
<br />''8521:'3':
<br />4538.-8
<br />`10-
<br />' 9380:5
<br />5262.3
<br />207
<br />"30
<br />7790'.5.
<br />3940:9
<br />20
<br />8548.1'
<br />4561:1
<br />20 -
<br />9411:3.:
<br />5288.6
<br />-40
<br />. 7814:3
<br />• 7838.1
<br />3960:1
<br />3979.4
<br />30.
<br />=40
<br />8575.0
<br />8602.1'
<br />4583:4'".>'
<br />4606.0
<br />30 :
<br />'40-
<br />9442.2,
<br />9473;2,
<br />5315:0
<br />5341.5
<br />50`
<br />7S62.1-
<br />3998.7
<br />50.
<br />8629.3
<br />4628.6:
<br />_
<br />50
<br />9504''.'4-'
<br />5368.2
<br />308.
<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:._:
<br />7934',6
<br />4057.4
<br />20
<br />8711.5
<br />4697.2
<br />'20 '.0598.9-
<br />4.44
<br />5449.2
<br />30
<br />7959; 0.
<br />4077:2
<br />- ,30
<br />8739.2.
<br />'4720:3
<br />•' 30 ..0630.7'
<br />.720
<br />5476,5
<br />'40,7983:5
<br />EE2
<br />4097.1
<br />40
<br />8767.0
<br />4743.6
<br />40:.•9662.6'
<br />4:10
<br />5504.0
<br />�0'•
<br />'8008:0
<br />.4117:0`
<br />5�-
<br />8704:9:
<br />;4766.9
<br />- '•150 :.
<br />9694:7'
<br />5531.7
<br />109 �:
<br />-8032.7
<br />4137.4
<br />114,._
<br />8822:9
<br />4790.4j.119
<br />0727:0
<br />5559.4
<br />10
<br />:8057.4
<br />4157.3.
<br />•10
<br />.8851.0
<br />4814.1-
<br />: '10-
<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 />z8907.7
<br />4861.7'
<br />-30..,,,9824;8
<br />5643.8
<br />'40
<br />'8132.3
<br />•4218.4-
<br />- 40
<br />8936-3-
<br />4885.7,•,•40;+,9857.7
<br />5672.3
<br />50,
<br />8157.5
<br />4239.0
<br />'50
<br />8965.0
<br />4909.9,'
<br />501.
<br />98908
<br />5700.9
<br />110:
<br />8182.8
<br />4259.7
<br />115
<br />8993.8
<br />4934.1.
<br />120.
<br />9924:0
<br />5729.7
<br />-.10;
<br />-8208.2.
<br />„
<br />4280.5
<br />":10
<br />9022.7-
<br />4958.6..
<br />JO.L,
<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'
<br />4822:4
<br />30
<br />-'9080.9
<br />5007.8'
<br />=30 ,100250;
<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 />.831Q.3`
<br />4364:8'
<br />'S0
<br />9139:8
<br />5057:6
<br />50,--
<br />10093'.0;
<br />587G.1'
<br />Corrections to be Added (T = Tangent. 'E = External':)
<br />Int,Angle
<br />Curve S°
<br />10°'
<br />15°
<br />20°
<br />:25°
<br />30°
<br />"35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60'
<br />65° ..70°
<br />100 o
<br />= T=.43
<br />..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 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 />2.73 246
<br />105°
<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 -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 .3.41
<br />110'6
<br />' T=.50
<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 />5.86
<br />6.43.
<br />7.01 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 3:95
<br />115o: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 />7.70 8.35
<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 4'.58
<br />120°
<br />T=.61
<br />1.25
<br />11.89
<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 9.21
<br />E =.339
<br />.720
<br />1.08
<br />1:45
<br />EE2
<br />2.20
<br />2:E6
<br />2.95
<br />3:33'
<br />3.72
<br />4:10
<br />4.60
<br />4.91 '5.32
<br />
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