|
0
<br />VI TkiiLET'- Tangents and Extern-als.to al!. Curve.'
<br />Chord.=100 � ft:•
<br />: InC
<br />Angle
<br />Ta"sent;
<br />E-xtertial:
<br />Int
<br />Angle
<br />,Tangent
<br />Extema]'
<br />Int
<br />, Adsle '
<br />Tangent;
<br />External
<br />is.""
<br />5254:3
<br />2041:.7
<br />92"
<br />59;,.3'2•
<br />2518:5
<br />•09' •'
<br />6708:`61
<br />3092.7
<br />.'10'
<br />5265.6'
<br />2 :,
<br />'052.1 10'.
<br />8950.5
<br />2531:0-10'
<br />'1.87 2.03 9.20
<br />`6728.4:
<br />'3107:7
<br />."20
<br />5281.0'
<br />20£12:5!
<br />20
<br />6967.9
<br />2543.5.
<br />20
<br />+6748.2
<br />3122.9
<br />' 30.
<br />'5296.4
<br />2073.0
<br />: 30•
<br />75985.3.
<br />2556.0
<br />30
<br />.6768.1.1
<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 />"b0
<br />5327.4
<br />2094.1
<br />LO
<br />6020`.2
<br />2581:3
<br />50
<br />6803.2
<br />3168.7
<br />86 .'
<br />'5343.0
<br />2104:7 '
<br />93:-
<br />0037.8
<br />2594.0
<br />100
<br />'6828.3
<br />3184.1
<br />10
<br />5358:6
<br />2113.3 1
<br />-10'•
<br />'6055,4'
<br />2606.8
<br />10
<br />G848.5'
<br />3190:0
<br />'20
<br />5374'.2
<br />2126.0
<br />20*.'
<br />6073'.1
<br />2G19.7
<br />'20
<br />6868.8
<br />3215.1
<br />3D
<br />-5389:9
<br />2136.7
<br />'30•'
<br />6090:8
<br />2632.6
<br />30
<br />:6489.2_
<br />3230.8
<br />40
<br />'5405.6
<br />2147:5
<br />-40
<br />6108:6'
<br />2545.5
<br />40 .
<br />''6009.6
<br />3246.5
<br />50
<br />.`5421.4
<br />2158.4
<br />150'
<br />-6126.4
<br />2658.5-
<br />50
<br />'6030.1
<br />3262.3
<br />'5437.2
<br />216D.2
<br />942
<br />614.1:3
<br />2671.0
<br />101'
<br />6950.6
<br />3278.1
<br />•?'10
<br />5453.1
<br />21S0.2
<br />10
<br />6162.6
<br />2684.7.-
<br />'10
<br />,6971.-3
<br />'3294.1
<br />'.20
<br />'5109.0
<br />2191.120
<br />=°'• �1p
<br />6180:2
<br />2697.9
<br />'.20
<br />'6092:0
<br />3310,1
<br />' 30
<br />'5184.9
<br />2202.2
<br />30
<br />6198.3
<br />2711.2'
<br />130
<br />.7012.7
<br />3320.1
<br />40.
<br />40.
<br />5500.9
<br />2213.2•
<br />40
<br />G316r4
<br />2724.5
<br />''40
<br />7033:6
<br />3342.3
<br />50
<br />"-5517.0,
<br />2224.3
<br />r
<br />s0
<br />6234:6
<br />2737.0
<br />50
<br />7054:,5'
<br />3358.5
<br />88'.,2
<br />5533:1'
<br />2235.5 _
<br />5
<br />620$.8
<br />2751.3
<br />102`
<br />7075:5
<br />3379.9
<br />" '10 "
<br />-5549.2
<br />•2240.7
<br />10
<br />6271.1_
<br />2764.8-
<br />- 10
<br />!7096,6'
<br />'3391.2
<br />20
<br />4565.4
<br />2258.0;
<br />20
<br />6289.4
<br />2778.3-,
<br />20
<br />7117,.8'
<br />3107.7
<br />- 30
<br />:5581:'6
<br />2269.3,1
<br />30 .
<br />6307:9
<br />2702.0,
<br />30
<br />'"7439.0
<br />'3424.3
<br />'40
<br />5597.8
<br />2280.G
<br />-'40,
<br />'6326.3
<br />2805.6
<br />40
<br />7160:3•3440.9
<br />50
<br />. 5014.2
<br />2292.0
<br />50
<br />.6344.8
<br />2810.4
<br />1 50
<br />'.7191:7:
<br />3457.0
<br />89: , °
<br />;'5630.5.
<br />2303:5.
<br />96 • `
<br />6363.4 •
<br />2833'22
<br />1031,
<br />7203.2,
<br />3473.4
<br />10
<br />6846.9
<br />2315.0,
<br />•'10'
<br />6382.1
<br />2847:0.
<br />10
<br />7224:7
<br />13491.3
<br />;:20
<br />-,5363.4
<br />2326.6
<br />1 "20 •
<br />6100.8,
<br />2361,0
<br />20
<br />7246.3'
<br />'35W.2
<br />x30
<br />5579.9"
<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 />.643&.4
<br />2880. 0.'
<br />{ 40
<br />17280.8-
<br />-3342.4
<br />50
<br />5713.0,
<br />2361.5
<br />50
<br />0457.3
<br />2903.1
<br />50 .
<br />7311'..7.
<br />3550.6
<br />90` "
<br />4729 7,
<br />2373:3
<br />87+ •1
<br />G47fi.2
<br />2917.3
<br />104
<br />7333:6
<br />3570.8
<br />- -10
<br />4746"31
<br />2385;t
<br />^•x'10 •
<br />G495.2
<br />2931.6p
<br />.10
<br />7355.6
<br />''3594.2
<br />20
<br />4763.;1'
<br />2397.0 ','
<br />20
<br />G51413
<br />2945.6
<br />20
<br />'7377:8
<br />•361 t. 7
<br />30
<br />4779:9.
<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 />13040.8
<br />' 50
<br />x5813.6,
<br />2432.9
<br />50
<br />'6571.9
<br />2989,2
<br />•..50
<br />7444.W3004.5
<br />1191 ;;'
<br />5830.5
<br />j
<br />2444.9 "
<br />96"''
<br />$591.2
<br />_
<br />3003.8
<br />305';x!
<br />746730'
<br />'3fi62.3
<br />"'.10
<br />5847.5;
<br />2457.1'
<br />'•+ 10
<br />6610.6•
<br />3018.4
<br />10
<br />7489:6-
<br />3700.2
<br />.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 />5881.7'
<br />2481.5:
<br />t 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 .8,
<br />40
<br />7557:7
<br />;3754.4
<br />50
<br />5916.0
<br />2505:1'
<br />60
<br />GGS8_8
<br />3077.7
<br />50
<br />7530.:,
<br />3772.6
<br />-- - - . - -- *' 4
<br />-Corfections.to be .Added (T=Tangent. E. = :External:)`:
<br />Ang4le
<br />Curve 5°. 10° 15° 2D° 251 30°1,35° 40°
<br />45° 56°-
<br />55"
<br />60' 65" 7D°
<br />85° •''
<br />' T=•33 :86 1'.00 1:33 1.68 2.02., 2.36 2,79.
<br />3.05 3.40
<br />177
<br />4.14 4:55 4.89
<br />''7603{:5:
<br />E =:128 259 -.391 .524 ..657 ..79D -02611.00
<br />1.20 "1.34
<br />1-47
<br />1.62'.176 1.91
<br />90°
<br />T =•3G 72 1.09 1.45 1:83 2:20 2.57 2.94
<br />,3.32' 3.70'
<br />4.10
<br />4.50 4.91 5.32
<br />`3809:4
<br />G =.149 .299 .450 .603 .156 .910 1.07 1.22
<br />"1.38 1.54
<br />1.70
<br />'1.87 2.03 9.20
<br />9� ..,
<br />T�.39 .79 1.19; 1.55. 2.00 2.40`2.80 3.20
<br />,3.61 4.02
<br />4:49
<br />4.93 5.38 5.83
<br />20''
<br />E-174 .350 .5221..706 ..985 1.06 1.25, 1.43.11.62
<br />1-80
<br />'1.99
<br />2.18 2.38 2.58
<br />5133.3
<br />T-•43 " :86 1'.3D' 1.74` 2:18' 3:62 3:06 3'.50
<br />3.95 4.40
<br />4.88
<br />b.87 5.85 6.34
<br />1105°
<br />E =.2D0 ' '.401 _.fi01 .809 1.01: 1.22. 1.43 1.64
<br />1.85 2.06
<br />2.28
<br />2.50. 2.73 2.96
<br />--
<br />Tz6.46 .94' 1.42 11.00 2.38 2.87 3.34 3.84
<br />,4.35' 4.84
<br />5.35
<br />5.87' 6.40 8.93
<br />4472.7
<br />E".220, ..470 :700 ..938 1.17' 1.42 1.65 1 0
<br />-2.14 2.39
<br />2.64.
<br />2.90 3.16 3.41
<br />-TABLE TAsi:E F Tangents and Externals to a 1°Curve.
<br />',i. .-.,.;..,. .'(".1, nrd =Inn 4t
<br />Int
<br />Angler
<br />Taageat.
<br />Eaternel
<br />Int: _
<br />a -;Angle •
<br />-Tangent
<br />External
<br />"Int.
<br />.Angle.
<br />Tangent
<br />External
<br />log*
<br />''7603{:5:
<br />3791 0
<br />111'
<br />-9336.7
<br />4386.1
<br />116°
<br />.9169.4,,;5082.7•,
<br />2.73 .2:90
<br />1(Y;'
<br />#7626.6
<br />`3809:4
<br />10''
<br />`8362.7
<br />, 44G7.6
<br />10'-
<br />9199.1.
<br />-5107.9
<br />^20'.7649:7.
<br />2.64 2.90
<br />3827..9,
<br />20''
<br />8388.9
<br />4429.2
<br />20
<br />•9229.0
<br />5133.3
<br />7!.y30'
<br />i.*7672:9
<br />"384G.5-
<br />30-
<br />8415.1,.
<br />4450.9
<br />„30
<br />'9259,.0
<br />"5158.8
<br />1.40
<br />"7696.8"'3865.2
<br />7.70 ,8:35
<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 />..720
<br />.5210.3=
<br />1.45 1.82 2.20 .2.16 2.95 3.33 3.72
<br />4.10 4.50 14.01
<br />l,qa2
<br />,9319.5
<br />3Q7
<br />-7743;2
<br />3902.8
<br />112 x
<br />`'
<br />8494.6
<br />-4018 6"117
<br />-9349.9'
<br />.5236.2
<br />10
<br />120
<br />x7766:8
<br />-;7790:5"
<br />X3921:9
<br />3940:0
<br />10
<br />;20",
<br />8521.3::4538:8
<br />8548.1
<br />4561.4
<br />•'`?lpx
<br />20 :
<br />'9380.b
<br />'9411:3,
<br />5262.3
<br />5288'.6
<br />} „30
<br />•.7814 3•;3960
<br />1
<br />30}'
<br />'8575 0,
<br />4083 '4
<br />.R 30
<br />9442:2',,5315.0,.
<br />r 40
<br />'7838 L
<br />-3970,.4
<br />40
<br />8602. I-
<br />"4000'0'j"
<br />=4006 0-
<br />-','j40,,
<br />40
<br />9473.2-
<br />; 5341.5'
<br />50,
<br />: 7862 1. -
<br />" 3908'.7
<br />'50 3
<br />`86,219. 3'
<br />J 4628:o
<br />,
<br />_k.- 150' 1.
<br />9504;"4,
<br />5368.2
<br />V.
<br />108
<br />108
<br />788612:
<br />''4018:2
<br />118 ' `:
<br />. 8056-%i
<br />x'4651-:3.
<br />'118 ' '
<br />- 9535 7'
<br />' 5395.1.
<br />'10',
<br />7910.4
<br />,4037:8
<br />=°'• �1p
<br />-8684.0-
<br />%4674.2
<br />-' `10"-`.
<br />9567.2-
<br />5422.1
<br />'20
<br />•7934.0?
<br />t4057' 4"
<br />• :- 1 '20-
<br />8711' 5
<br />- 4697-.'2',20"'-,
<br />: 9598:9;
<br />5449.2" ,
<br />30.
<br />7959:0.
<br />14077•.2
<br />J'"- 302
<br />`'8739_.2•
<br />'4720 3
<br />c" 30 :.
<br />•9630:7.
<br />5476.5
<br />040
<br />} 50-
<br />•7983'5£
<br />;8008.0;
<br />4097 1
<br />X4117 0 "
<br />40
<br />50 '
<br />8767.10
<br />t 8794 9
<br />-4743 G
<br />+9694.7.:
<br />.4766 9
<br />40
<br />50' '
<br />.9652.6'•
<br />5504'.0
<br />5531.7
<br />x'8822
<br />"
<br />169
<br />8032,7'
<br />4137 1
<br />111,
<br />9
<br />'4790 d
<br />419
<br />9727"0+
<br />,5559.4;
<br />10
<br />78057.4
<br />'415T.3,
<br />.0 . 10
<br />;885] 0
<br />4814.1
<br />10
<br />9759 9'
<br />5587.4
<br />20;,-
<br />M273''
<br />44177 Z r
<br />: ! 20-
<br />8879:3
<br />' 4837.8
<br />(20..
<br />9792.0,
<br />5616.5
<br />30
<br />'8107 3`
<br />;4197 0
<br />30
<br />1,8907.7
<br />4861 7
<br />30:
<br />4824:8'''8893.8
<br />18132,'3•.'42184
<br />.;-1.40 ''8936.'3F
<br />4885.7
<br />"' 40`19857.7
<br />5672."'
<br />50'
<br />1:8157 . 5 J-4239.0.
<br />50 x'8965
<br />0
<br />4909.9'
<br />k50i:
<br />9390;8,,`5700.9
<br />lI6" r
<br />`61,S2.844250`7
<br />1151
<br />8993 8-
<br />4934 1
<br />I ? 1
<br />99240.'
<br />5729.7
<br />10
<br />"8209 2
<br />'4280 5
<br />= .10
<br />022
<br />? 7`:
<br />9
<br />'995 8 G
<br />,. 1p
<br />=99 57.5.
<br />5758.6
<br />t• 20
<br />,'8233-7-'4301.4
<br />' `. � 120'
<br />79001 7'
<br />498311
<br />20''
<br />9991'.0
<br />5787.7
<br />30
<br />'
<br />8259 3t.-4322
<br />-.
<br />4
<br />`.4343 '
<br />30
<br />'60809'
<br />10110 -
<br />5007 8
<br />'5032.
<br />6 30" ,10025:0
<br />°
<br />5817.0
<br />40
<br />; 8285.0
<br />G
<br />, ,. - 4D
<br />`..,x5D
<br />3
<br />G
<br />;40 ».
<br />'
<br />10059:0 "
<br />5846.5
<br />a0
<br />8310 8 ,
<br />4364 8
<br />,!
<br />9189`8?
<br />150576"
<br />- 50
<br />10093 0`
<br />5878.1' .
<br />Corrections to be Added (T =Tangent. E =External.)
<br />e: Curve 5°
<br />Angie
<br />10°
<br />150
<br />201. Z51 30° .35° 40' SO-
<br />559 60°
<br />65° ':70°
<br />100° T =.43
<br />AS
<br />1.30
<br />'1.74 2.18 '2:62 3.06 3.50 3.95 4.40
<br />4.8816.37
<br />5.85' .8.34
<br />E-.200
<br />:401
<br />.604
<br />30-9 1.01 122 1.43 1.64.'1.85'-2.06
<br />2:28 2.50
<br />2.73 .2:90
<br />105 T�•46
<br />105*
<br />.04
<br />1_.42
<br />1.90 2.38 2.67: '3.34 3.84 4.35 4.84
<br />5.35 5.87
<br />6.40 0.93
<br />E =.230
<br />.470
<br />. .700
<br />.938 1.17 1.42 ;1.65 1.90 2.14 2.39'
<br />2.64 2.90
<br />3.16 3:41
<br />110° T=.50 .=
<br />1.03
<br />1.55
<br />2.08 2.60 3.14 3.68 4.21 4.76 5.31
<br />5.86 6.43
<br />7.01 7.59
<br />E -.260 •
<br />:535
<br />:808
<br />1:08 1.30 1.63 1.91 2.19 2.49 2.61
<br />3.05 3.35
<br />3.65 3.95
<br />115° Tm.54 .1.13
<br />1.70
<br />229" 2.98 3.45 4.03 4.63 5.23 5.83
<br />0.44 7.07
<br />7.70 ,8:35
<br />-15;:307
<br />:624
<br />.939
<br />1.26. 1.57 '1.89 2.21 2.54 2.87 8.20
<br />8.53 8.88
<br />4.23' 4.58
<br />120°" T=.Gl .
<br />1.25
<br />11 .89
<br />2.52 3.16 3.81, 4.44 5.11 5.78 8.44
<br />7.11 7.80
<br />8.61 9.21
<br />r-.339 "
<br />..720
<br />1 C
<br />1.45 1.82 2.20 .2.16 2.95 3.33 3.72
<br />4.10 4.50 14.01
<br />l,qa2
<br />®,
<br />
|