|
TALE I. - Tangents and Externalts to a 1° Curve,
<br />Chord= 100 ft..
<br />Int.g
<br />Angle
<br />Tangent
<br />External
<br />Int,
<br />Angle
<br />Tangent
<br />g
<br />Fxlernal
<br />Int.
<br />Angle
<br />Tangent
<br />.
<br />External
<br />1°
<br />50.00.22
<br />.08 .10
<br />S.
<br />400. GG
<br />13.99
<br />15°
<br />754.32
<br />49.44
<br />10'
<br />58.34
<br />.30
<br />10`
<br />409.03
<br />14. b8
<br />10'
<br />762.80
<br />.50.55
<br />"0
<br />66.67
<br />.89
<br />20
<br />417.41
<br />15.18
<br />20
<br />'30
<br />771.29
<br />61.68
<br />30
<br />75.01
<br />49
<br />30
<br />425.79
<br />15,80
<br />.14 .19
<br />'.779.77
<br />52, b2
<br />40
<br />83.34
<br />.61
<br />40
<br />434.17
<br />16,43
<br />40
<br />788.26
<br />53.97
<br />60
<br />91.68
<br />.73
<br />50
<br />442.55
<br />17.07
<br />50
<br />796.75
<br />55.13
<br />2
<br />100.01
<br />.87
<br />9
<br />450.93
<br />17.72
<br />16
<br />805.25
<br />56.31
<br />10
<br />108.35
<br />1.02
<br />10
<br />459.32
<br />18.38
<br />10
<br />813.75
<br />57.50
<br />20
<br />11.6.GS
<br />1.19
<br />20
<br />407.91
<br />19.06
<br />20
<br />'822:25
<br />•.58.70
<br />30
<br />125.02
<br />1:30_
<br />30
<br />176.10
<br />19.75
<br />30
<br />830.76
<br />-59.91
<br />40
<br />133.36
<br />1.55
<br />40
<br />484.49
<br />20.45'
<br />'40
<br />839.27
<br />61.14
<br />50
<br />141.70
<br />1.75
<br />50
<br />402.88
<br />21.16
<br />50
<br />"847.78
<br />62.38
<br />3`.
<br />150.04
<br />1.96'
<br />10
<br />501.28
<br />21.89'
<br />17
<br />856.30
<br />63.63
<br />10
<br />158.38
<br />2.19•
<br />10
<br />509.68
<br />22.62-
<br />10
<br />864.82
<br />64.90
<br />20
<br />100.72
<br />2.43
<br />20
<br />518.08
<br />23.38
<br />20
<br />873.35
<br />66,18
<br />30
<br />175.00
<br />2.67
<br />- 30
<br />526.48
<br />24.14
<br />30
<br />881.88
<br />'67.47
<br />40
<br />183.40
<br />2.93
<br />40
<br />534.89
<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 />4
<br />200.08.
<br />3.49
<br />111
<br />551.70
<br />26.50
<br />18'
<br />007.49
<br />71.42
<br />10
<br />208.43
<br />3.79
<br />r10
<br />560.11
<br />27.31
<br />10
<br />916.03
<br />72.76
<br />20
<br />216.77
<br />4.10
<br />20
<br />568.53
<br />28.14
<br />20
<br />924.58
<br />74,12
<br />30
<br />225.12
<br />4.42
<br />30
<br />576.9.1
<br />28.97
<br />30
<br />933,13
<br />75,49
<br />40
<br />233.47
<br />4.76
<br />40
<br />585.3G
<br />29.82
<br />40
<br />941.69
<br />76.86
<br />50
<br />241.61
<br />5.10
<br />50
<br />593.79
<br />30.08
<br />50
<br />950:25
<br />78.26
<br />a
<br />250.1G
<br />5.46
<br />13
<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 />266.8G
<br />6.21
<br />20.
<br />'019.07
<br />33.35
<br />20
<br />975,96
<br />82.53
<br />30
<br />275.21
<br />6,61
<br />30
<br />627.50
<br />34.26
<br />30
<br />,984,53
<br />83.97
<br />40
<br />283.57
<br />7.01
<br />40
<br />035.93
<br />35.18
<br />40
<br />993.12
<br />85.43
<br />50
<br />291.92
<br />7.43
<br />.50
<br />644.37
<br />36.12
<br />50
<br />1001,7
<br />86.90
<br />6
<br />30q.2e
<br />7.86,
<br />13
<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 />9.71
<br />40
<br />686.60
<br />40.09
<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 />1061.097
<br />57
<br />10
<br />358.81
<br />11.22
<br />10
<br />711.97
<br />44.07.
<br />10
<br />1070,-6
<br />99.16
<br />20
<br />387,17
<br />11.75
<br />20.
<br />720.44
<br />45.12
<br />20
<br />1079.2
<br />100.75
<br />30
<br />375.54
<br />12.29
<br />30
<br />728.90
<br />46.18
<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 />103.07
<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. E=External.)
<br />W.
<br />Angle .Ou"e 5"
<br />-10°
<br />15° 20°
<br />1 25° 30°
<br />1 350
<br />40° 1 45° 50° 5S° 60°
<br />650
<br />70°
<br />5o T=.02
<br />.03
<br />.05 -.06
<br />.08 .10
<br />.11
<br />.13 .16 .16 .18 .20
<br />.21
<br />.23"
<br />E=.000
<br />.000
<br />.001 .001
<br />.002 .002
<br />.002
<br />.003 .003 .004 .004 .004
<br />.00.5
<br />.005_
<br />1po T=.03
<br />.06
<br />.09 .13.16
<br />.19
<br />.22
<br />.25 .28 31 .84 .38
<br />. 2'
<br />.46
<br />E=.001
<br />.003
<br />.004 .006
<br />.007 .008
<br />.009
<br />.011 -.012 .014 XIS .017
<br />.018
<br />.020
<br />150 - T=.04
<br />.10
<br />.14 .19
<br />24.29
<br />.34
<br />.39 .45 .51 .63 .58
<br />.53
<br />.68
<br />E=.003 .
<br />.007
<br />.010 .014
<br />.018 .023
<br />.027
<br />.029 .032 .035 .039 .043
<br />..047
<br />.OSI
<br />20° T= O6
<br />.13
<br />,19 .26
<br />.32 .39
<br />.45
<br />bl .S8 .65 .72 .79
<br />.84
<br />.90
<br />E -.We
<br />;.011
<br />.017 .022
<br />.028 .034
<br />.038
<br />.045 .051 .057 .063 .070
<br />.076
<br />'.083
<br />251 T m,0$
<br />16
<br />(.018
<br />.24 .33
<br />.40 49
<br />.58
<br />.67 .75 .83 .90 .99
<br />1.06,
<br />1.14
<br />E =.009
<br />1153.1
<br />.027 .036
<br />.045 056
<br />.065
<br />.074 .083 .093 ,105 .120
<br />.127
<br />.135
<br />TAut,v, I. - Tangents and Externals to a 1` Curve, III
<br />Chord=, 100 f t.
<br />Int. IInk:
<br />Angle ! Tangent
<br />External
<br />Angle
<br />Tangent
<br />l:xturual
<br />Int.
<br />Angle
<br />Tangcnt
<br />External
<br />22°
<br />11113.7
<br />107.24
<br />29°
<br />1481.8
<br />188.51 '
<br />36°
<br />1861.7
<br />294.0
<br />10'
<br />1122.4
<br />103.00
<br />10'
<br />1490.7
<br />190.74
<br />10'
<br />1870.9
<br />297.7
<br />."u
<br />1131-0
<br />110-7
<br />20
<br />1499.6
<br />192.99
<br />20
<br />1880.1
<br />300.6
<br />9U
<br />1139.7
<br />113.25
<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 />1998.6
<br />306.4
<br />5u
<br />1157.0
<br />115.66
<br />50
<br />1526.3
<br />199.82
<br />50
<br />.1907.9
<br />309.3
<br />23
<br />11G5.7
<br />117.38
<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 />1153.1
<br />220.87
<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 />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 />120.20
<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 />1589.0
<br />216.3
<br />38
<br />1972.0
<br />330.2
<br />10
<br />1225.6
<br />129.52
<br />10.
<br />1598.0
<br />218.7 .
<br />19
<br />1982.2
<br />333.2',
<br />- 29 '
<br />1235.3
<br />'131.65
<br />20
<br />1600,9
<br />" 221.1
<br />20
<br />1991.5
<br />330.3
<br />"
<br />1244.0
<br />133.50
<br />30
<br />1G15.9
<br />223.5
<br />30
<br />2000.0
<br />339.3
<br />40
<br />1252:8
<br />135.35
<br />40
<br />1624.9
<br />226.0
<br />40
<br />2010.2
<br />342.4
<br />50
<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 />1270.2
<br />139.11
<br />3x
<br />1643.0
<br />230.9
<br />39 .
<br />.2029.0
<br />348.6
<br />le
<br />1279.0
<br />141.01
<br />'10
<br />1652.0
<br />233.4
<br />10
<br />2038.4
<br />351,8
<br />='0
<br />1287.7
<br />142.93
<br />20
<br />1661.0
<br />235.9 .
<br />20
<br />2047.8
<br />354.9
<br />30
<br />1296.5
<br />144.96
<br />30
<br />1670.0
<br />238.4
<br />30
<br />2057.2
<br />358.1
<br />40
<br />1305.3
<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 />1688.1
<br />243.5 -
<br />50
<br />2076.0
<br />364.5
<br />20
<br />1322.8
<br />150:71
<br />33
<br />1697.2
<br />246.1
<br />40
<br />2085.4
<br />967.7
<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 />1.715.3
<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 />I
<br />13GG.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 />164.96
<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 />1770.1
<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 />_
<br />50
<br />1797.4
<br />275.3
<br />50
<br />2189 9
<br />404.2
<br />28
<br />142S.6
<br />175.41
<br />35
<br />1806.6
<br />27$.1
<br />42
<br />2199.4
<br />407.0
<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 />26
<br />1440.3
<br />,179.72
<br />20
<br />1824.9
<br />•283.6
<br />20
<br />2218.6
<br />414.5
<br />-N
<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 />42IA
<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 />Iat.
<br />tingle
<br />Cum 5° I ]0°
<br />15°
<br />20°
<br />25 °
<br />30°
<br />35°
<br />40° 1
<br />45°
<br />501
<br />55°
<br />60° 65°
<br />70°
<br />_
<br />_20°
<br />�T=.06 .13
<br />'.19
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51.58
<br />.65
<br />,72
<br />.79 .84
<br />.90
<br />E=.000 .011
<br />.017
<br />.022
<br />.028
<br />.034
<br />.038
<br />.045
<br />,051
<br />.057
<br />.063
<br />_070 ,076
<br />.083
<br />25°
<br />T =.08 .16
<br />.24
<br />.33
<br />.40
<br />.49
<br />.58
<br />.67
<br />.75
<br />.83
<br />.90
<br />.09 1.06
<br />1.14
<br />=.009- ..018
<br />.027
<br />.036
<br />.046
<br />.056
<br />W5
<br />.074
<br />.OS3
<br />.093
<br />,106
<br />.120 .127
<br />.135
<br />30°
<br />T=.10 t9
<br />.29
<br />.39
<br />.99
<br />.59
<br />.69
<br />.79
<br />E9
<br />.99
<br />109
<br />1.0 1,29
<br />1.39
<br />E-.013 .025
<br />.038
<br />.051
<br />.OGS
<br />,078
<br />.090
<br />.103
<br />,116
<br />.129
<br />,149
<br />.170 .179
<br />.188
<br />35°'
<br />T=.11. :22
<br />.84
<br />.47
<br />.5B
<br />.59
<br />.80
<br />.03
<br />1.05
<br />117
<br />1.29
<br />1.42 1.54
<br />1.66
<br />E =.018 .035
<br />.054'
<br />.072
<br />.086
<br />.169
<br />.131
<br />.153
<br />.175
<br />.197
<br />.213
<br />.230..247
<br />264
<br />gyp°
<br />P =.13 26
<br />.40
<br />.53
<br />.67
<br />.80
<br />.93
<br />1.06
<br />1.20
<br />1.34
<br />lA9
<br />1.64 ,1.79
<br />1.94
<br />E =.023 ` .046
<br />T=.15 .30
<br />.070
<br />.44
<br />.093
<br />GO
<br />'600
<br />.1.17
<br />.141
<br />.172
<br />.203
<br />.234
<br />.265
<br />.277
<br />,2901 .315
<br />.841
<br />45°
<br />.7G
<br />01
<br />1.00
<br />1.21
<br />1.37
<br />1.52
<br />1,70
<br />1.87 2.04
<br />2.21
<br />E =.030 AGOI
<br />.093
<br />.153
<br />.164
<br />.216
<br />.254
<br />.289
<br />.323
<br />,351
<br />.358 .411
<br />.445
<br />M PN*i
<br />
|