|
II TA13LE I. - Tangents and Externals to a 1° Curve.
<br />:Tnaia;'-I:-Tangents and:Externals to' a 1° Curse:_.• III
<br />Chord= 100 ft. -.1 oo ft..
<br />Angle
<br />Tangent
<br />External.
<br />Ai;g-1e
<br />Tangent
<br />External
<br />-Angle
<br />Tangent
<br />External
<br />1°
<br />50.00
<br />:22 -'8°
<br />S
<br />400068
<br />?,13.90'
<br />15'
<br />754.32
<br />49.44
<br />10'
<br />58.34
<br />.30
<br />10'
<br />409.03
<br />14.58
<br />10'
<br />762.80
<br />50.55
<br />20
<br />66.67
<br />39c
<br />20:,:
<br />417.41'
<br />y, 15:18
<br />""20
<br />771.29
<br />51.68
<br />30
<br />75.01
<br />-.49-�1':
<br />30 i
<br />425.79.'''
<br />15.80
<br />-'1-30
<br />779.77
<br />52.82
<br />40
<br />83.34
<br />.61
<br />40
<br />434.17
<br />16.43
<br />40
<br />788.26
<br />53.97
<br />b ;
<br />. 0
<br />'Y 9168
<br />.
<br />_
<br />.73 _
<br />+ . 50 _
<br />_4`42.55
<br />. i 17.07 .
<br />„-�
<br />--50:;
<br />, 796.75
<br />55.13
<br />1.06
<br />.127
<br />1 14
<br />.135
<br />117.38
<br />_
<br />1535.3
<br />202.12
<br />37 ''
<br />4917.1
<br />312:2
<br />2: 1
<br />` 10
<br />100.01.
<br />.87
<br />+8 .
<br />'-456.93
<br />•t 17:72 -
<br />118':38
<br />10
<br />805.25
<br />56:31
<br />= i
<br />108.35
<br />116EG8
<br />1'.021
<br />10,
<br />=` `20'
<br />- 459.32
<br />'.467%71'
<br />•'
<br />" 3-10'
<br />" 813.75
<br />57.'50
<br />.20--'
<br />E=.013
<br />- •; 1:19.
<br />.:30
<br />1562:1
<br />=' 19:OG
<br />1'j 120
<br />522.25
<br />58.70
<br />._30:;
<br />_125`.02:
<br />:• 1:36 ,
<br />g�301!
<br />;476.10,1
<br />•-19:75;
<br />'40
<br />830.76
<br />59:91
<br />.t -j,40,
<br />-:133.36-
<br />`
<br />,-;`.1:55'.
<br />': ''
<br />,.F,. 40-,
<br />X50:
<br />..484.49..20.45-.
<br />213.86
<br />.'30
<br />+'•+' p40 .'-839.27
<br />1963.6
<br />61..14
<br />�0:•
<br />141.70
<br />1':75'
<br />31-;-
<br />"•492.88',
<br />.T --21 16 -
<br />_r -50
<br />847.78
<br />62.38 ,
<br />3'
<br />'150:04
<br />1 `'1.96
<br />10
<br />501:28
<br />21.89
<br />'' 171',
<br />856.30
<br />63.63
<br />=-✓ 10
<br />•168.38
<br />1 1:2.19
<br />10.
<br />509.68-1',-'M:62-
<br />221.1
<br />;: 10
<br />-864.82
<br />64:90
<br />20
<br />166.72
<br />2.43
<br />20
<br />518.08;,-23,38
<br />,
<br />20
<br />2000.9
<br />66:18
<br />30
<br />175.06
<br />2.67
<br />30.
<br />•526.48._
<br />24.14
<br />.
<br />30
<br />-873.35
<br />881.88
<br />67.47
<br />40
<br />183.40
<br />2.93
<br />40_.4'534.89.
<br />1633:9
<br />`.,;24.91
<br />40
<br />890.41
<br />68.77
<br />50
<br />191.74
<br />3.21
<br />50
<br />543.29
<br />25.70
<br />50
<br />898.95
<br />70.09
<br />10
<br />f
<br />141.01
<br />'.10
<br />1652.0
<br />233.4
<br />t
<br />2038:4
<br />351,8
<br />4
<br />=3200:08
<br />3,49551.70
<br />t.:20
<br />'1661'.0
<br />•`'-26:50--
<br />ALS
<br />907.49
<br />71.42
<br />10
<br />208.43
<br />3.79
<br />10
<br />560.11
<br />27.31
<br />.10
<br />2057.2;
<br />72.76
<br />20
<br />216.77
<br />4:10
<br />20
<br />568.53
<br />28.14
<br />20
<br />-916.03
<br />924.58
<br />74.12
<br />30
<br />225.12
<br />fi4.42 ;
<br />:. 30.
<br />„ 576.95
<br />• 28,97 _
<br />.30
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />,4.76 ,•;,
<br />40._.,585:36
<br />1697:2
<br />29.82
<br />.:
<br />-40
<br />941.69
<br />76.86
<br />50
<br />241.81
<br />5.10'
<br />50
<br />593.79
<br />30.68
<br />50
<br />950.25
<br />78.26
<br />20
<br />1340:4 •
<br />154.69
<br />11..20'
<br />1715.3
<br />251.3
<br />--
<br />2104:3
<br />:374.2
<br />5
<br />250.16
<br />5.46
<br />12."' ;'
<br />'-'602.'21
<br />31.56
<br />19
<br />958.81
<br />79.67
<br />10
<br />258.51
<br />5.83
<br />10
<br />610,64
<br />32.45
<br />10
<br />967.38
<br />81.09
<br />20
<br />266.86'''
<br />1:6.21:
<br />°t;, 20 '
<br />.`619.07+
<br />_' ,33.35
<br />? 20+
<br />82.53
<br />30
<br />275.21
<br />6:61
<br />30-.
<br />627,50
<br />:,34.26:
<br />30
<br />_975.96
<br />984.53
<br />83.97
<br />40
<br />283.57
<br />"'7. 01
<br />' 40
<br />' 635.93
<br />35.18 '
<br />' 40-
<br />'993.12
<br />85.43
<br />50
<br />291:02
<br />.,. 1.43
<br />50
<br />. 644.37
<br />36.12
<br />,- .,_50
<br />,1001.7
<br />86.90
<br />30
<br />1402.0:
<br />169.04
<br />30'
<br />1779.1
<br />269.9 j
<br />'30
<br />2170:8
<br />397.4'
<br />6
<br />300.28
<br />,_ 7.86
<br />13
<br />`
<br />652.81
<br />37.07
<br />20
<br />1010.3
<br />88.39
<br />10
<br />308.64
<br />8.31
<br />'10
<br />661.25
<br />38.03
<br />-10-'
<br />1018.9
<br />89.89
<br />20
<br />•,316.99-
<br />8.76
<br />20 ,
<br />669:70.+.
<br />39.01••
<br />20
<br />1027.5
<br />91.40
<br />30
<br />325.35`
<br />9.23
<br />30"
<br />678.15
<br />' 39.99,
<br />30
<br />1036.1
<br />92.92
<br />40
<br />:-333:71,
<br />9.7140..-,686.60.
<br />120
<br />1824.9
<br />40.99
<br />40
<br />1044.7
<br />94.46
<br />50
<br />342:08,
<br />10.20
<br />_ ` 50-
<br />•695.06.
<br />42.00
<br />50
<br />1053.3
<br />96.01
<br />7
<br />350.44-
<br />.10.71
<br />14
<br />703.51
<br />43.03
<br />21
<br />1061.9
<br />97.57
<br />10
<br />:358°.81'
<br />1367.17'
<br />,11.22
<br />...,',.10,
<br />711.97
<br />44.07
<br />10
<br />1070.6
<br />99.16
<br />20
<br />11.75..
<br />' ., 20-
<br />:720.44
<br />'45.12
<br />20
<br />1079.2
<br />100.75
<br />30
<br />=375. b4.'.=12.29..
<br />.:. 30
<br />728:90
<br />,
<br />.46.15:
<br />=- 30•
<br />1087.8
<br />-102.35
<br />40
<br />333.91
<br />12.85
<br />-.,: 40„
<br />,737.37
<br />47.25
<br />40
<br />1096.4
<br />103.97
<br />50
<br />392.28
<br />13.41
<br />50
<br />745:85
<br />48.34"
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T=Tangent. r E=External.)
<br />Int.
<br />Angle Curve 5°
<br />10° 15°
<br />206 25° 30°
<br />35° *
<br />40° 45° 500 550
<br />600
<br />65°
<br />70°
<br />5° T=:02
<br />.03 O5
<br />.06 + ;.08 .10
<br />' .11
<br />± '13
<br />'!481:8
<br />.21
<br />.23�
<br />E=.000
<br />.000 ,001
<br />.
<br />,001 " .002 ..002
<br />1-002.
<br />.15 .16 .18
<br />,003 '•:003 .004 .004
<br />.20
<br />.004
<br />.005
<br />•005
<br />loo T =.03
<br />.06 .09,
<br />-:13' .16 .19
<br />.22
<br />,25 "'.28'•-,.31 .34
<br />.38
<br />.42
<br />'•'463
<br />E =•001
<br />.003 .004
<br />.006 .007 .008
<br />.009
<br />,011 .012 :014 .015
<br />.017
<br />.018
<br />020=
<br />15o T=.04
<br />E =.003 _,:007
<br />.10' .14
<br />'.010
<br />13 ',:19
<br />.19 .24 .29
<br />.014 .018 .023
<br />.26 .32 .39
<br />.34
<br />.027
<br />.45
<br />.39 .45 .51 :'.53
<br />.029 .032 .035 .039
<br />.51 .58 .65 .72
<br />.58
<br />.043
<br />.79
<br />.63
<br />.047
<br />.84
<br />68
<br />.051
<br />:9U
<br />20o T =.Q6"
<br />E='.006
<br />.011 :017
<br />.022 .028 .034
<br />.038
<br />.045 .051 .:057 .063
<br />•070
<br />•.076
<br />:083
<br />25o T=.08
<br />E =.009
<br />16 .24 '...33
<br />.018 .027.
<br />.40 .49
<br />.036 .046 .056
<br />.58
<br />.065
<br />.67 .75 :83 .90
<br />.074 .083 '.093 .106
<br />.99
<br />.120
<br />1.06
<br />.127
<br />1 14
<br />.135
<br />Int.
<br />Angle
<br />Tangent'
<br />External
<br />Int.
<br />Angle :'
<br />Tangent
<br />-
<br />External
<br />Int.
<br />:Angle
<br />Tangent
<br />External
<br />22°. +1113.7
<br />50°
<br />107:24 '
<br />'•294:•
<br />'!481:8
<br />188.51
<br />36° '
<br />•1861.7
<br />294.9
<br />-.19
<br />.26
<br />'108.90
<br />;.: 10'
<br />4490.7
<br />190.74
<br />10'
<br />1870.9
<br />'.297.7
<br />..10t.'.1122:4
<br />20
<br />1131.0
<br />110.57
<br />0. 20 1
<br />1499.6
<br />192.99
<br />20
<br />1880.1
<br />.300.6
<br />30
<br />1139:7
<br />112.25
<br />=30
<br />150815
<br />195.25
<br />30
<br />1889.4
<br />.303.5
<br />'40
<br />:11'48.4'
<br />113.95(
<br />40 i
<br />3517:4
<br />197.53
<br />'40
<br />1898.6
<br />306.4
<br />c50 +
<br />.1157.0 ,
<br />115.66 •,
<br />" -1' 50 1
<br />1526.'3
<br />199.82 '
<br />50
<br />.1907.9
<br />309.3
<br />23..
<br />'llG5..7
<br />117.38
<br />30 "
<br />1535.3
<br />202.12
<br />37 ''
<br />4917.1
<br />312:2
<br />'.120
<br />1174-.4
<br />119.12
<br />10
<br />1544:2-
<br />204.4410
<br />.29
<br />1926:4
<br />:315.2
<br />-10
<br />20
<br />'1183.1'
<br />120.87 r
<br />._.'+20
<br />1553.1
<br />206.77
<br />.• 20
<br />1935.7
<br />+318.1
<br />30 ',.1191.8'
<br />E=.013
<br />122.63 ;
<br />.:30
<br />1562:1
<br />209.12
<br />1._30
<br />1945.0
<br />!.321.1
<br />40
<br />':1200.5.
<br />124.41
<br />'40
<br />1571.0
<br />211.48
<br />'40
<br />1954.3'
<br />•324.1
<br />50
<br />'1209.2'
<br />126.20
<br />:.;-50
<br />1580'.0
<br />213.86
<br />=.'_50
<br />1963.6
<br />.327.1
<br />24
<br />1217.9 +
<br />128.00
<br />31-;-
<br />35S9:0
<br />216.3
<br />38°
<br />.1972.9
<br />330.2
<br />.109
<br />1226.6
<br />129.82 y
<br />ti.. 10
<br />1'598:0
<br />218:7
<br />10
<br />.1982.2
<br />•.333.2
<br />.10
<br />20
<br />3235.3
<br />131.65 !
<br />'••20
<br />1606:9
<br />221.1
<br />� 20
<br />'1991.5'
<br />336.3
<br />30
<br />1244.0
<br />133.50
<br />30
<br />16159
<br />223.5
<br />: 30
<br />2000.9
<br />339.3
<br />342.4
<br />.40 .,
<br />+1252.8
<br />135.35
<br />_•- 40
<br />1624'.9
<br />226.0
<br />40
<br />2010.2.
<br />.277
<br />50 i
<br />1261.5
<br />137.23'
<br />50
<br />1633:9
<br />228.4
<br />:._50
<br />2019.6
<br />:345.5
<br />-25 '%'
<br />.1270 21 3
<br />139.11`
<br />32 ?
<br />1643.0
<br />230.9
<br />30' :'
<br />2029.0
<br />348.:6
<br />10
<br />1279:0.
<br />141.01
<br />'.10
<br />1652.0
<br />233.4
<br />10
<br />2038:4
<br />351,8
<br />20
<br />1287.7
<br />142.93
<br />t.:20
<br />'1661'.0
<br />235.9
<br />20
<br />2047.8
<br />354.9
<br />30
<br />3296.5 '
<br />144.85
<br />c.•30 +
<br />1670.0
<br />238.4
<br />.30
<br />2057.2;
<br />•358.1
<br />40
<br />1305.3
<br />146.79 +
<br />1•.40 '
<br />1679:1:
<br />241.0
<br />•-40
<br />2066:6;
<br />+361.3
<br />50
<br />I
<br />•1314.0
<br />148.75 >
<br />4
<br />-.-50 1
<br />1688.1'
<br />243.5
<br />+.•:50
<br />2076.0
<br />.364.5
<br />26' '
<br />-1322.8 '
<br />150.71 ?
<br />33;-,- • -
<br />1697:2
<br />i
<br />246:1• 1
<br />40"%•
<br />2085.4
<br />367:7
<br />.10
<br />1331.6 ;
<br />152:69 r
<br />'+ .210
<br />1706.3'
<br />248:7 ;
<br />, ..10
<br />2094.9
<br />371.0
<br />20
<br />1340:4 •
<br />154.69
<br />11..20'
<br />1715.3
<br />251.3
<br />:•'20
<br />2104:3
<br />:374.2
<br />_:30
<br />1349.2.
<br />156:70
<br />1;.30',
<br />1724:4'
<br />253.9
<br />'30
<br />2113.8
<br />377.5
<br />40
<br />1358.0
<br />158.72 '2132.7
<br />%•'401733.5256.5-;
<br />x..40
<br />2123:3
<br />380.8
<br />50 S
<br />1366:8
<br />160.76 j
<br />0.150
<br />1742.6
<br />259.1
<br />'`
<br />.>. 50
<br />384.1
<br />2' ;
<br />7°
<br />1375.6
<br />162.81
<br />34'
<br />1751.7•
<br />261:8
<br />41'
<br />2142.2
<br />387.4
<br />10
<br />;
<br />1384.4
<br />1634.86 -
<br />'•.10
<br />1760.8
<br />264.5
<br />- 10
<br />2151.7.
<br />•390.7
<br />20
<br />1393:2 ;
<br />166.95.
<br />':•�20
<br />1770.0
<br />267.2
<br />20
<br />2161.2
<br />.394.1
<br />30
<br />1402.0:
<br />169.04
<br />30'
<br />1779.1
<br />269.9 j
<br />'30
<br />2170:8
<br />397.4'
<br />40
<br />1410:9 t
<br />171.15 :
<br />. 40
<br />1788.2
<br />:272.6
<br />_"•,40
<br />2180.3
<br />400.8
<br />50
<br />1419.7
<br />173.27
<br />•=50'
<br />1797:4'
<br />275.3
<br />7.'50
<br />2189:9
<br />404.2
<br />28 :
<br />1428.6 ',
<br />175.41 '
<br />35 - J
<br />1806.6
<br />278:1'
<br />42` •`
<br />2199.4
<br />, 407:6
<br />10
<br />1437.4.
<br />177.55
<br />"- 10
<br />1815.7
<br />280.8
<br />10
<br />2209.0.
<br />'411.1
<br />20
<br />1446.3.
<br />179.72
<br />120
<br />1824.9
<br />283.6
<br />20
<br />2218.6
<br />'414.5
<br />30
<br />•1455.1 •
<br />181.89
<br />1.:30
<br />1834.1
<br />286.4
<br />30
<br />2228.1
<br />:418.0
<br />40.
<br />1464.0
<br />184.08
<br />' •40
<br />1843.3
<br />289.2
<br />40
<br />2237.7
<br />421.4
<br />-50
<br />1472:9
<br />186.29.
<br />:..50
<br />1852.5
<br />292.0
<br />50
<br />2247.3
<br />•425.0
<br />Corrections to be, Added -(T=Tangent.,:'E;=,External.);
<br />Int.
<br />Angle
<br />' Curve 5°
<br />10°
<br />-
<br />15°
<br />20°j
<br />• 25°'
<br />: 30o'
<br />-35°
<br />-40°z
<br />45°
<br />50°
<br />55°
<br />60-1
<br />65'
<br />•70'
<br />20°
<br />T =.06
<br />13'
<br />-.19
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51
<br />.58.
<br />.65
<br />:72:
<br />:79
<br />..84
<br />.90
<br />E=.006.
<br />.011
<br />.017
<br />.022,-:028
<br />'.034
<br />:..038
<br />-.045
<br />.051
<br />-.057
<br />.063
<br />::070
<br />'.076
<br />.083
<br />T =.08
<br />.16
<br />.24
<br />.33
<br />;.40
<br />.49
<br />•.58
<br />.67
<br />.75
<br />.83
<br />.90
<br />.99:
<br />1.06
<br />1.14
<br />E=..009
<br />.018
<br />.027
<br />.036
<br />.046
<br />.056
<br />.065
<br />.074
<br />.033
<br />':093
<br />-.106
<br />'.120
<br />.127
<br />.135
<br />30°
<br />T=.10
<br />.19
<br />.29
<br />.39
<br />.40
<br />.59
<br />.69
<br />.79
<br />.89
<br />.99
<br />1.09
<br />1.20
<br />1.29
<br />1.39
<br />E=.013
<br />.025
<br />.038
<br />.051
<br />.065
<br />.078
<br />.090
<br />:103
<br />.116
<br />.129
<br />.149
<br />'.170
<br />.179
<br />.188
<br />35°
<br />T=.11
<br />.22
<br />,'.34
<br />.47
<br />.58
<br />.69
<br />.80
<br />.93
<br />1.05
<br />1.17
<br />1.29
<br />1.42
<br />1.54
<br />1.66
<br />E=.018
<br />'.035
<br />:054
<br />:072
<br />.086
<br />.109
<br />.131
<br />.153
<br />.175
<br />.197
<br />.213
<br />.230
<br />.247
<br />.264
<br />=.13'
<br />26
<br />.53
<br />:67
<br />.80
<br />.93
<br />1.08
<br />1.20
<br />1:34
<br />1.49
<br />1.64
<br />1.79
<br />1.94
<br />E=.023
<br />.036
<br />.070
<br />.093
<br />.117
<br />'.141
<br />.172..203
<br />.234
<br />,265
<br />.277
<br />.290
<br />.315
<br />.341
<br />45°
<br />T=.15-
<br />.30
<br />.44
<br />.60
<br />.76
<br />.91
<br />1.06
<br />121
<br />1.37
<br />1.52'
<br />1.70
<br />1.87.
<br />2.04
<br />2.21
<br />E=.030
<br />.060
<br />.093-
<br />.119
<br />.153
<br />.184
<br />.216
<br />.254
<br />.289
<br />.325
<br />.351
<br />.378
<br />.411
<br />.445
<br />
|