|
i
<br />ITI;:
<br />Tn131,E L 'Tangents and )externals -to a 1° Curve.
<br />61,,,,•,1 _ 1 nn tt
<br />Altnigle
<br />;assent
<br />External _-Angle '�
<br />Int,
<br />Tangent External .; Angle
<br />Tangent External
<br />1°
<br />576.00
<br />:22
<br />8-` -
<br />400;. 6.6
<br />13.99,,
<br />15°',
<br />754.32
<br />49.44
<br />10'
<br />55.34
<br />.30
<br />10'
<br />409.03
<br />417.41
<br />14.58
<br />15.18 '.
<br />10'
<br />•20
<br />762.80
<br />771.29
<br />50.55
<br />51.68
<br />20
<br />��75:01-
<br />x66:67
<br />39
<br />'.49
<br />20-
<br />30
<br />425.7x9
<br />15.80
<br />30
<br />;779.77
<br />52.82
<br />30
<br />t 40
<br />33:34
<br />.61
<br />40
<br />434.17
<br />16.43
<br />4D
<br />783.26
<br />796.75
<br />53.91
<br />55.13
<br />50 '
<br />91.68
<br />.73
<br />50
<br />442.55
<br />17.07
<br />;50 .
<br />40
<br />1517.4
<br />2
<br />100:01
<br />87.
<br />9
<br />450'.93
<br />17.72
<br />16 •
<br />10
<br />80 5;25
<br />813.75
<br />56.31
<br />57.50
<br />10 ,
<br />108.35
<br />116.68
<br />1.02
<br />1.19
<br />10
<br />20
<br />459.32
<br />467.71
<br />18:38
<br />19.06
<br />20
<br />822.25
<br />58.70
<br />20
<br />30
<br />.125:02
<br />1.36
<br />30
<br />47610
<br />19.75
<br />20,45;
<br />30'
<br />40
<br />. 830.76
<br />839.27
<br />59.91
<br />61.14
<br />40
<br />50
<br />,133.32
<br />141x70
<br />1.55
<br />1.71:1
<br />40
<br />-50
<br />:454.49
<br />492,88 �
<br />21.16
<br />50'
<br />547.78
<br />62.35
<br />206.77'
<br />150.04
<br />1.96'
<br />10
<br />501.23
<br />509.68
<br />21.59,
<br />22.62'
<br />17
<br />10
<br />85G.30
<br />864:.82
<br />63.63
<br />64.90
<br />10
<br />20
<br />158.38
<br />16.8.712
<br />2.10
<br />2.43
<br />10
<br />`20
<br />518.08-
<br />23.38
<br />20:
<br />873.35
<br />GO - IS
<br />30
<br />1340'
<br />175.06
<br />2.67
<br />e30-
<br />-526.48
<br />24.14
<br />30
<br />40
<br />881.88
<br />890.41
<br />6.7.47
<br />68.77
<br />50'
<br />183.40
<br />191.74
<br />2.93'
<br />3.21
<br />x.40-534.89
<br />50
<br />543.29•
<br />.24.91
<br />25.70
<br />50
<br />895.95
<br />70.09
<br />"¢
<br />200.08
<br />3.40
<br />11•.
<br />551'70
<br />26,50
<br />•1S
<br />10
<br />907:49
<br />916.03
<br />71.42
<br />72.7G
<br />" 10
<br />208.43
<br />218.77
<br />3.79
<br />4.79
<br />10
<br />20
<br />560.11'
<br />568.53
<br />27.31
<br />28.14
<br />20
<br />924.58
<br />74.12
<br />20
<br />225 .12
<br />'233:47
<br />_ 4.42
<br />.. -30.
<br />40
<br />'576:95
<br />585.311
<br />28.97
<br />29.82
<br />30
<br />40
<br />933.13
<br />941.69
<br />75.49
<br />76.86.
<br />40
<br />.50
<br />241.81
<br />4.76
<br />5.10
<br />" 50
<br />593.79
<br />30.68
<br />50
<br />950:25
<br />78.28
<br />5
<br />250.16
<br />5.46
<br />12
<br />-602.21
<br />31.56
<br />19
<br />16
<br />958.81
<br />967.38 967.38
<br />79.67
<br />81. UG
<br />*10
<br />258.51
<br />5.S3
<br />6.21
<br />10
<br />610.64
<br />619:'07.
<br />32.45
<br />33.35
<br />-.20
<br />975.96
<br />S2,5�
<br />20
<br />_ 30
<br />266.86
<br />275.21
<br />6.61
<br />.20
<br />30
<br />627.50
<br />34.26
<br />30
<br />40'
<br />084.53
<br />993.12
<br />53.97
<br />85.4
<br />40
<br />2S3.57
<br />7.01
<br />40
<br />50
<br />635.93
<br />644.37
<br />35.15
<br />3G.12
<br />50
<br />1001.7
<br />86.0(
<br />50
<br />291.92
<br />7.43
<br />354.9
<br />30
<br />1296.5
<br />144,85
<br />30
<br />1670.0
<br />6
<br />300.28.
<br />7,85
<br />13.
<br />652.81
<br />37.07
<br />20
<br />10
<br />1010.3
<br />1018.9
<br />8S.T
<br />10
<br />'308:fi4
<br />8.31'
<br />8.76
<br />,10'
<br />20
<br />661,25
<br />669.70
<br />38.03
<br />39.01
<br />20
<br />1027.5
<br />C4(
<br />01.41
<br />20
<br />30
<br />316..99
<br />325.35
<br />9.23
<br />-
<br />30
<br />678.15
<br />39.99
<br />30
<br />40
<br />1036.1
<br />1044.7.
<br />92.9'
<br />9
<br />40
<br />338.71
<br />9.71
<br />40
<br />50
<br />686.60
<br />695
<br />40_99
<br />4`2.00
<br />50
<br />1053.3
<br />96..4.40
<br />50
<br />342.08
<br />10.20
<br />371.0
<br />-OG
<br />0703.51
<br />1340.4
<br />154.69
<br />20
<br />1715.3
<br />7
<br />350,44
<br />10.71
<br />14
<br />'711.97,
<br />43.03
<br />44.07
<br />21 "
<br />10
<br />1061.9
<br />1070.E
<br />9p .5
<br />10
<br />20
<br />358.81
<br />11.22
<br />11.75
<br />- ,10
<br />20
<br />720.44
<br />45,12
<br />20
<br />1079.2
<br />IUO.
<br />102.3
<br />30
<br />,367..17
<br />375.54
<br />12.29
<br />30-
<br />40
<br />725.90
<br />737.37
<br />46..18
<br />47.25
<br />30
<br />40
<br />1057.8
<br />1096.4
<br />103.9
<br />40
<br />50
<br />383.91
<br />392.28
<br />12.85,
<br />13.41
<br />50
<br />745.85
<br />48.34
<br />50
<br />1105:1
<br />105.0
<br />Corrections to be tldded (T =Tangent. E=External.)
<br />Int.Ingle
<br />Gurvc 5° 10° 15° 20°
<br />25° 30° '35° 40° 45°
<br />50° 55°
<br />60° 65°
<br />5°
<br />T=.02 .03 .OS .06
<br />.OS .10 .il .13 .I5
<br />.002 .002 •003
<br />.16 .IB
<br />•004 .004
<br />:?0 21
<br />.•�4 •�5
<br />10°
<br />E =.000 .000 .001 .001
<br />r=-03 OG :09l3
<br />.002 ..003
<br />.16 .19 .22 .25 .28
<br />.009 .011 .012
<br />.31 .34
<br />.014 ".015
<br />38 .42
<br />.011 .018
<br />15°
<br />E-.001 .003 .041 .006.
<br />T= .04 .10 .14 .19
<br />.007 .003
<br />.24 .29 34 .39 :15
<br />.027 .029 .032
<br />.51' .53
<br />.035 .039
<br />.53 .63
<br />.043 .047
<br />20°
<br />B= .003 .007 .010 .014
<br />T =.06 .13 .19 '.26
<br />Oil
<br />.016 .023
<br />.32 .39 .45 .51 .58
<br />.034 .038 .015 .051
<br />.65 .72
<br />:0.57 .063
<br />.79 .84
<br />.070 ..0716
<br />25°
<br />1 =.006 .017 .022
<br />^1=A8 .1G 24 .33
<br />.02S
<br />.40 .49 .58 .57 .75
<br />..83 .90
<br />.99 1.06
<br />.120 .127
<br />20
<br />E =.009 .018 .027 .036
<br />.016 .056 .065 .07.4 .083
<br />.093 .106
<br />ASSOA
<br />70° 1
<br />23
<br />.005
<br />.46
<br />.63
<br />051
<br />90
<br />083
<br />1.14 135
<br />TABr.?; L _ Tangents and'Externlils to a .i°;Curve.- III
<br />-.'Qhord:=100 It.
<br />Int. _
<br />Angle
<br />Tangent
<br />External
<br />Int...
<br />Angle
<br />Tangent'
<br />External
<br />int.,
<br />An ,
<br />Tangent
<br />External
<br />220
<br />1113.7
<br />107.24r
<br />-29°7
<br />1481.8
<br />188.51
<br />, 360
<br />1861.7
<br />294.9
<br />10'
<br />1122.4
<br />108.901
<br />101,
<br />1490.7
<br />190.71
<br />10'
<br />187.0.9
<br />297.7
<br />20•
<br />1131.0
<br />110.57
<br />20
<br />1499.6
<br />392.99'
<br />20
<br />ASSOA
<br />300.6
<br />30'
<br />1139:7
<br />712.25
<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
<br />'1526.3
<br />199.82
<br />50
<br />1907.9
<br />309.3
<br />.23
<br />1165:7
<br />117.38'
<br />30:1535:3
<br />'1544.2
<br />202.12'
<br />'37 i
<br />'1917:1
<br />312.2
<br />10
<br />117414
<br />119.12'
<br />10
<br />.49
<br />204.44
<br />101
<br />1926.4
<br />315.2
<br />20,
<br />1183:1
<br />120.87':
<br />20
<br />1553.,1
<br />206.77'
<br />20 ;
<br />;1035.7
<br />318.1
<br />30
<br />1191:8
<br />122.63
<br />30
<br />1562.1.
<br />20912:
<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 1
<br />,1054.3
<br />324.1-
<br />50
<br />•1209.2
<br />126.20
<br />'50
<br />1580.0
<br />213.88,
<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 />'.1972.9
<br />330.2
<br />10
<br />1226,6
<br />129,52-
<br />10
<br />1598.0
<br />218.7 .
<br />10
<br />1982.2
<br />333.2
<br />20
<br />1235:3
<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 />1615.9
<br />,223.5
<br />30
<br />2000.9
<br />y 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 />-32
<br />.1643.0
<br />230.9
<br />39
<br />2029.0
<br />348.6
<br />10
<br />1279.0
<br />,141.01 '
<br />x10
<br />1652.0'
<br />233.4
<br />10
<br />2038.4
<br />351.8
<br />20
<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 />144,85
<br />30
<br />1670.0
<br />•238.4 !
<br />" '30
<br />12057.2'
<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 />143.75
<br />50
<br />1688.1
<br />243.5
<br />50
<br />2076.0
<br />364.5'
<br />-120
<br />1322:5
<br />150.71
<br />33
<br />1697:2
<br />2.16.1
<br />'40 '
<br />'2055:,4
<br />367.7
<br />10
<br />1331.6
<br />152.69
<br />10
<br />1700.3
<br />218.7
<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 />253.0
<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 />.350.8
<br />50
<br />1366.8
<br />160.76
<br />'60
<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':S
<br />41
<br />2142.2
<br />387.4
<br />10
<br />1384:4
<br />164.SG
<br />10
<br />1760.8
<br />-254.5:
<br />S 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 />169.41
<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 />21S9.9
<br />404.2
<br />28
<br />1428.6
<br />175.41
<br />'35
<br />1800.6
<br />279.1
<br />42
<br />2199.4
<br />407,6
<br />10
<br />1437,:4
<br />177.55
<br />10
<br />1815.7
<br />2SO.S•
<br />10
<br />2209.0
<br />411.1
<br />20
<br />1446.3
<br />179.72
<br />20
<br />1824.9
<br />283.0
<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 />49
<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 />150.29
<br />50
<br />1352.5
<br />1 292.D
<br />50
<br />2247.3
<br />425,0'
<br />Corrections to be Added LL(T=Tangent. E=External.)
<br />Int.
<br />Angle CurceS°
<br />10°
<br />15°
<br />20°
<br />25°
<br />30° 35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65° 70°
<br />20° T=.06.
<br />.13
<br />.19
<br />.2G.32
<br />.39 .45
<br />.51
<br />.53
<br />.65
<br />.72
<br />.79
<br />.84 .90
<br />E=.006
<br />.011
<br />,017
<br />.022
<br />,028
<br />.034 ,038
<br />.045
<br />.051
<br />,057
<br />.063
<br />.070
<br />.076 .083
<br />25° 7=.08
<br />.16
<br />.24
<br />.33
<br />.40
<br />.40 .58
<br />.07
<br />75
<br />.83
<br />.90
<br />.09
<br />1.06 1.14
<br />E =:OD9
<br />'.018
<br />.037
<br />.036
<br />.046
<br />.056 .065
<br />.074
<br />.033
<br />-.093
<br />.106
<br />.120
<br />.127 .135
<br />301. T=.10
<br />.19
<br />.29
<br />.39
<br />.49
<br />.59 .69
<br />.79
<br />.89
<br />.09
<br />1.09
<br />1.20
<br />1.29 1.39
<br />E =.013 '
<br />.025
<br />.038
<br />.051
<br />.065
<br />.078 .090
<br />.103
<br />.11G
<br />.129
<br />.149
<br />.170
<br />.1791 .186
<br />35° T=.11
<br />.22
<br />.34'
<br />..47.58
<br />.G9 .80
<br />.93
<br />1.05
<br />1.17
<br />1.29
<br />1.42
<br />1.54 1.66
<br />E=.018
<br />.035
<br />.054
<br />.072
<br />.080
<br />.109 .131
<br />.153
<br />.175
<br />.197
<br />.213
<br />.230
<br />.247 .264
<br />q0° - T=.13
<br />.26
<br />.40
<br />.53
<br />67
<br />.80 .93
<br />1.06
<br />1.20
<br />1.34
<br />1.49
<br />1.64
<br />1.79 1.94
<br />_ E=.023
<br />.046
<br />.070
<br />.093
<br />.117
<br />.141 .172
<br />.203
<br />.234
<br />265
<br />.277
<br />.290
<br />.315 .341
<br />4 T.15
<br />.30
<br />.44
<br />.GO
<br />.70
<br />.01 LOG
<br />1.21
<br />1.37
<br />1.52
<br />1.70
<br />1.87
<br />2.04 2.21
<br />E: .030 ''
<br />.060
<br />.093
<br />.119
<br />.1531
<br />.184 216.
<br />.259
<br />.289
<br />325
<br />351
<br />378
<br />.411 .445
<br />
|