|
II TABLE I. - Tangents and Externals to a 1° Curve.
<br />ChnM=Inn ft
<br />An
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />-Angle _
<br />/ `
<br />Tangeni
<br />External.
<br />:
<br />-= Angle
<br />Tangent
<br />External
<br />1°
<br />10'
<br />50.00
<br />58.34
<br />22
<br />8°�-
<br />• `'400'66
<br />`._13.99
<br />"-1$°.4
<br />754.32
<br />49.44
<br />20
<br />66.67
<br />.30
<br />:39s
<br />10'
<br />•, �20r:
<br />409.03
<br />.417.41
<br />14,58
<br />" 15;18
<br />10
<br />"
<br />702.80
<br />50.55
<br />30
<br />40
<br />75,01
<br />83.34
<br />':49''.
<br />?' 30
<br />-.425.79.
<br />_- 15:80
<br />F+;20
<br />'' •.30
<br />771.29
<br />779.77
<br />51.68
<br />52.82
<br />60
<br />..• 91yf8:
<br />.61
<br />.,, <a.73
<br />40
<br />. -,.50.,
<br />434.17
<br />442:55
<br />16.43
<br />40
<br />788.26
<br />53,97
<br />.:057 .063 .070,.076
<br />074 .OS3 '093 .106 .120
<br />1.027
<br />.083
<br />1.14
<br />•.40
<br />1517.4
<br />..417.07:
<br />-50....798:75
<br />1898:6
<br />55.13
<br />2
<br />-. 10
<br />100 01
<br />108 35
<br />35
<br />g7
<br />1'.02,
<br />g"
<br />450 93
<br />Y,17.72
<br />..16
<br />.805.25
<br />56.31
<br />X20'
<br />' 116:68
<br />`-,`.1'.19 •
<br />10
<br />3: '20'
<br />459.32
<br />467:71
<br />18,38
<br />=-'19,OG';
<br />,10'
<br />'
<br />-'813:75'
<br />'822:-25
<br />57.50
<br />c
<br />30;°
<br />40
<br />';125.02,
<br />,.•'; 1':30 •..i
<br />a 30 ,i
<br />+476:10
<br />• 19.75 -
<br />20•'_
<br />' , '30;
<br />830:76;
<br />58.70
<br />59.91
<br />50
<br />,133.36
<br />141 70
<br />.::.1.5&'
<br />1:75"'50
<br />40 ,
<br />';
<br />x484:49.
<br />- 492,88
<br />.e20,.45,.
<br />'" 22;16
<br />r 40 .,'_839.27,.
<br />` ?'50 '
<br />'847.78'.
<br />61.14
<br />--,30
<br />1191:8 '
<br />122.63
<br />' . '.30
<br />1562:1
<br />209.12'
<br />" .. 30
<br />1945.0
<br />r 62.38
<br />10 -
<br />150 04
<br />.'158.38
<br />1 98
<br />2.19
<br />10
<br />'10
<br />501.'28
<br />_f
<br />-,2i.89
<br />"
<br />'17
<br />856.30'.
<br />63.63
<br />20
<br />108:72
<br />2.43
<br />20
<br />+ 509.68
<br />518.08
<br />:22.62
<br />!•'; 10 -
<br />'-1 20
<br />864.82
<br />64.90
<br />30
<br />40
<br />175.06
<br />183.40
<br />2.67
<br />30,
<br />.,526.48
<br />..•23:38 ,
<br />,._24,14
<br />30
<br />,873.35;;
<br />881.88
<br />;66.18::
<br />67.47
<br />50
<br />191.74
<br />2.93
<br />3.21
<br />40.
<br />50
<br />534:89.:.24.91
<br />543.29
<br />25.70
<br />40
<br />890.41
<br />68.77
<br />f20
<br />1235.3
<br />131.65
<br />..
<br />1600:9
<br />221.1
<br />50
<br />) ...
<br />898.95
<br />70.09
<br />4=20008
<br />10
<br />208.43
<br />•3:49
<br />3.79
<br />11"'
<br />"10
<br />•-551.70
<br />--.-26 :50'
<br />18•
<br />907.49
<br />71,42
<br />20
<br />216.77
<br />4:10
<br />20
<br />560.11
<br />568.53
<br />27.31
<br />28.14
<br />10
<br />.916.03:
<br />72.76
<br />30
<br />40
<br />225.12
<br />233.47
<br />- ;4:42"
<br />-="x;:30;
<br />576:95'
<br />,; 28:97
<br />20
<br />30'.
<br />924.58
<br />933.13
<br />74.12
<br />75.49
<br />50
<br />241,81
<br />.4'.76•
<br />5.10'
<br />= 40 ;
<br />50 -
<br />"585:36
<br />593.79''
<br />29.82.
<br />30:68
<br />40
<br />"50
<br />941.69
<br />76.86
<br />10
<br />1279.0
<br />141.01
<br />10
<br />1652.0
<br />233.4
<br />x'.'10
<br />950.25
<br />78.26
<br />b
<br />10
<br />250.16
<br />258.51
<br />5.46
<br />12',.;,--
<br />10
<br />602:21
<br />•,31:56
<br />19
<br />958.81
<br />79.67
<br />20
<br />266,86,:
<br />.5.83
<br />";.6.21:'
<br />(:;20
<br />610.64
<br />" 619:07;
<br />32.45
<br />; 33 35
<br />10
<br />.907.38
<br />81.09
<br />30
<br />40
<br />275.21
<br />283.57
<br />6.61
<br />7.01-'
<br />30.
<br />627:50
<br />.•34.26
<br />20-,.
<br />30,'
<br />''
<br />.975.96
<br />984.53
<br />82.53
<br />83.97
<br />50
<br />291.92
<br />._. 7..43
<br />40
<br />50
<br />635.93
<br />644.37.
<br />35.18
<br />36.12,
<br />'40 -
<br />993.12
<br />85.43
<br />:26':•'
<br />1322.8
<br />150.71
<br />33
<br />1697:2
<br />246:1
<br />50
<br />1001.7
<br />86.90
<br />6
<br />10
<br />300.28.;,.
<br />308.64
<br />7.86
<br />8:31
<br />13 - ..
<br />10
<br />652.81
<br />37.07
<br />20
<br />1010.3,
<br />88.39
<br />20
<br />7316,99,
<br />8.76
<br />20
<br />661.25"
<br />069.70
<br />38.0310
<br />39:01
<br />20
<br />1018:9 =
<br />89.89
<br />30
<br />40
<br />-325.35
<br />9.23
<br />.
<br />30.'
<br />'678.15
<br />39.99',
<br />20
<br />30
<br />1027.5=.
<br />1036.1
<br />.91.40
<br />92.92
<br />.;'333:71';:"9.71
<br />50 '
<br />"342;08-
<br />• 10.20
<br />40,..656.60:.
<br />.�;''50•
<br />-695.06
<br />40.99'
<br />42.00
<br />40
<br />1044:7 '
<br />94.46
<br />". 50
<br />1366.8
<br />160.76
<br />•:50
<br />r
<br />259.1
<br />50
<br />1053.3
<br />96.01
<br />7
<br />10 ..358.81
<br />-850,44.
<br />10.71
<br />11.22
<br />14
<br />903.51'
<br />11.97
<br />43.03'
<br />21
<br />1081.'9
<br />97:57
<br />20
<br />"367.17
<br />11.75
<br />" 220.44
<br />;.'44.07
<br />45.12
<br />10
<br />20,
<br />I070.6
<br />99.16
<br />30
<br />'375154
<br />333.'91
<br />-12.29"
<br />'r 328:90
<br />j`745.85'
<br />1770.0
<br />':46,18<
<br />,1079.2,..100:75
<br />:..= `30 '1087:8
<br />2161.2
<br />102.3540
<br />50
<br />392.28
<br />12.85 +,..
<br />13.41
<br />437.37,47•.25:-40
<br />-.5
<br />.-
<br />269.9
<br />30
<br />1096.4
<br />103.97
<br />40
<br />1410',9
<br />171.15
<br />;'•.40
<br />1788.2
<br />48:34`
<br />50
<br />1105.4
<br />105.60
<br />Corrections to be Added i(T = Tangent. E = External.).
<br />Int.
<br />Angle Curves*
<br />10°
<br />1S° 20°
<br />'25°
<br />30' •''35°
<br />40° 45° 50°1. 55° 60°
<br />651
<br />70°
<br />5°
<br />E-.000-10
<br />-Y-
<br />-000
<br />.001 .001
<br />-,002
<br />'-11
<br />_.002 -02,`.003
<br />--1 .15 .16 .18 .0
<br />':003 .004 004
<br />.21
<br />.3
<br />10° =.03.06
<br />E=.001
<br />.003
<br />.09, 7:13"
<br />,004 ,006
<br />.16
<br />.007
<br />.19 .22
<br />.008 ..009
<br />.2004
<br />.25 7.28� 31 .34 .38
<br />.011 .012 '.014 .015
<br />,05
<br />.42
<br />.2005
<br />.46
<br />lSo T=.04
<br />t E--003 "
<br />.10:,.14
<br />-:007
<br />.19
<br />`.010 .014
<br />,24
<br />:.018
<br />.29 .34
<br />.023 .027
<br />.017
<br />.39 .45 .51'.'.53 .58
<br />.029 .032 .035:
<br />.018
<br />.63
<br />.020
<br />68
<br />20.1 T-.00-
<br />E =:006
<br />.13
<br />.011
<br />'•.19 .28
<br />.017 .022
<br />32
<br />,028
<br />.39 '.45
<br />.034 .038
<br />.039 .043
<br />.51 .58 .65 .72 .79
<br />.045 .051
<br />•047
<br />.84
<br />.051
<br />.90
<br />25r E =.009
<br />,018
<br />027 .036 .33
<br />-f 6
<br />.026 065
<br />.:057 .063 .070,.076
<br />074 .OS3 '093 .106 .120
<br />1.027
<br />.083
<br />1.14
<br />I
<br />,TAnLi I.-,:Tangents'and Externals to a 1°'Curve:: III
<br />Chord=.100 ft
<br />Int.
<br />Angle-
<br />Tangent
<br />External;
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int,
<br />.-Angle
<br />Tangent,
<br />External
<br />T22°= ,'1113:7
<br />50°
<br />107:24
<br />29°
<br />143E 8
<br />188:51
<br />36°-
<br />1861.7
<br />294:9
<br />10f
<br />:1122.4
<br />'108.90
<br />10'
<br />1490.7
<br />190.74
<br />10'
<br />1870.9
<br />1:297.7
<br />20 ';1131:0
<br />..84
<br />110,57
<br />20
<br />1499.6
<br />192.99
<br />20
<br />.1880.1
<br />.300.6
<br />;1.30
<br />:1139.7`
<br />112.25
<br />30
<br />1508:5
<br />195.25 `.
<br />..30
<br />1889.4
<br />303.5
<br />";40
<br />_1148.4'
<br />113.95
<br />•.40
<br />1517.4
<br />197.53
<br />40
<br />1898:6
<br />.306.4
<br />50
<br />1157-.0'
<br />115.66
<br />:. 50 j
<br />1526.3-
<br />199.82
<br />_ ." 50
<br />3907..9
<br />:309.3
<br />'23...
<br />'11G5.7
<br />117.38
<br />i
<br />30
<br />1535:3
<br />202.12
<br />37
<br />1917.1
<br />312.2
<br />10
<br />"1174:4
<br />119:12
<br />.'10
<br />1544:2.
<br />204.44
<br />- 10
<br />1926.4
<br />315.2
<br />20
<br />%1183:1 i
<br />120.87
<br />•.20
<br />1553:1
<br />206.77
<br />20
<br />1935.7
<br />•318.1
<br />--,30
<br />1191:8 '
<br />122.63
<br />' . '.30
<br />1562:1
<br />209.12'
<br />" .. 30
<br />1945.0
<br />.321.1
<br />.40
<br />11200:5
<br />124.41
<br />- X40
<br />1571.0
<br />211.48
<br />40
<br />1954.3
<br />324.1
<br />. 50 t'1209.2,
<br />.47
<br />126.20
<br />50
<br />1580:0
<br />213.86
<br />50
<br />1963.6
<br />-327.1
<br />1.42
<br />1217..9
<br />128.00
<br />31 -•'
<br />•1589:0
<br />216.3
<br />38'-':
<br />:1972.9
<br />330:2
<br />r24
<br />i.10 ;'1226.0,
<br />.131
<br />129.82
<br />10
<br />1598.0
<br />218.7
<br />10
<br />193202
<br />333.2
<br />f20
<br />1235.3
<br />131.65
<br />20
<br />1600:9
<br />221.1
<br />° .:20
<br />1991.5
<br />336.3
<br />':,30 ;.1244.0.
<br />34
<br />12246511
<br />133.50
<br />3.`30
<br />1615:9
<br />223.5
<br />.'30
<br />2000.9
<br />.339.3
<br />-"40
<br />1252.8
<br />135.35
<br />'••40
<br />1024:9
<br />226.0
<br />40
<br />2010.2'
<br />342.4
<br />• 50
<br />1261.5
<br />137.23
<br />•e50
<br />1633:9
<br />228.4
<br />50
<br />2019.6
<br />.345.5
<br />25 '
<br />'1270:2
<br />139.11
<br />32--.
<br />1643.0
<br />230.9
<br />39- '
<br />2029.0
<br />348:6
<br />10
<br />1279.0
<br />141.01
<br />10
<br />1652.0
<br />233.4
<br />x'.'10
<br />2038.4
<br />'351,8
<br />20
<br />1287.7
<br />142.93 r
<br />'20
<br />1661.0
<br />235.9.1
<br />F -'M
<br />2047.8
<br />X354.9
<br />_.' 30
<br />1296.5
<br />144.85
<br />•. 30
<br />1670.0
<br />238.4 ;
<br />1.''30
<br />2057:2:
<br />•358.1
<br />40
<br />3305:3
<br />146.79 ',
<br />40
<br />1679:1`
<br />241.0
<br />`40
<br />2066.6
<br />361.3
<br />50
<br />1314-.0
<br />148.75
<br />50
<br />1685-.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 />246:1
<br />40-.
<br />2085:4
<br />3677
<br />10
<br />1331.6
<br />152.69
<br />10
<br />1706.3
<br />248:7
<br />..10
<br />2094.9
<br />371.0
<br />20
<br />1340.4
<br />154.69
<br />20'
<br />1715:3
<br />251.3
<br />20
<br />2104.3
<br />•374.2
<br />30
<br />'1349.2
<br />156.70
<br />_30
<br />1724.4
<br />253.9
<br />30
<br />2113:8
<br />377.5
<br />40
<br />1358.0
<br />158.72
<br />'40
<br />1733.5'
<br />256:5
<br />40
<br />2123.3
<br />380.8
<br />". 50
<br />1366.8
<br />160.76
<br />•:50
<br />1742:6'
<br />259.1
<br />50
<br />2132.7.
<br />•384.1
<br />27
<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 />1384.4 '
<br />164.86
<br />-.10
<br />1760.8'.
<br />2G4.5
<br />-10
<br />2151.7
<br />390.7
<br />20
<br />1393E2 '
<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
<br />30
<br />2170.8
<br />397.4
<br />40
<br />1410',9
<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 />50
<br />2189':9
<br />404.2
<br />28
<br />1428:6
<br />175.41
<br />35• •
<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 />:-20
<br />1824.9
<br />283.6
<br />20
<br />2218.6
<br />'414.5
<br />30'
<br />1455.1
<br />181.89
<br />'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 />Augla
<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°
<br />70°
<br />20°
<br />`. T=06-,
<br />.
<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
<br />.028
<br />:034
<br />.038
<br />.045
<br />.051
<br />:057
<br />:063
<br />:070
<br />.076
<br />.083
<br />35°;
<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 />1:1]=.009'.018
<br />.027.,:036
<br />.016
<br />':056
<br />;065
<br />..074
<br />;.083
<br />.093
<br />,.106
<br />.120
<br />.127
<br />.135
<br />30°j
<br />'T =:10
<br />19,29
<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 />40°'
<br />`T=.13
<br />26
<br />.40
<br />.53
<br />',67
<br />,80
<br />'.93
<br />1.06
<br />1.20
<br />34
<br />12246511
<br />1.49
<br />1.64
<br />1.79
<br />1.94
<br />E =.023
<br />.016
<br />.070
<br />.003
<br />.117
<br />.141
<br />.172
<br />.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 />1.21
<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 />All.
<br />.445
<br />
|