|
�• ;TABLE,Ir =:Tangents and;Externals
<br />to a 1*, C11rve5
<br />Ch'ord.�-.lfln,.ft_
<br />Angle
<br />Tangent
<br />External
<br />c
<br />,Angle'
<br />_
<br />,Tangent
<br />Ezternal
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />...
<br />V
<br />50T00
<br />22'
<br />89,
<br />400'.66
<br />'13:99'
<br />15°
<br />754'32
<br />49.44
<br />10'
<br />58-34
<br />-,30
<br />` 10'
<br />'409.03
<br />14.58
<br />; 101
<br />:762:80
<br />.50.55
<br />20
<br />- 60,67-
<br />.39
<br />:20
<br />417,.41
<br />- - 15.18
<br />10-
<br />771t; .9
<br />51.68
<br />'30
<br />75:01
<br />49
<br />30,
<br />425.70
<br />15.80'
<br />30
<br />'779=77
<br />52.52
<br />40
<br />53:34
<br />61
<br />"'40-
<br />434.17
<br />16.43
<br />40
<br />788`26
<br />53.97
<br />50
<br />91;68
<br />.73
<br />50-
<br />.442.55-
<br />17.07
<br />50
<br />",706..-75'
<br />55.13
<br />2
<br />100,01
<br />'.S7
<br />9'.v
<br />450103,_
<br />17.72`
<br />'16
<br />605.2.5
<br />',56.31
<br />-10
<br />1081.'35,1.02'
<br />,-53
<br />.039 -•.043
<br />10 ;'
<br />459.32`
<br />18.38
<br />10
<br />813:.75
<br />57.:m-
<br />,20
<br />116-68-
<br />1:19,
<br />-120
<br />467.71,
<br />19.06
<br />• 20..
<br />822.25
<br />58.70
<br />:30 .:.125,02
<br />-022 .028
<br />1,36
<br />--306>
<br />476.10•
<br />19.75
<br />30
<br />830.-76
<br />59.91
<br />40
<br />133'.30
<br />.1 ,55
<br />_
<br />40-
<br />484.49.20',45
<br />..58
<br />"40
<br />839.27
<br />61-14
<br />50
<br />141;.70
<br />1.75
<br />50 %
<br />. 492.88'
<br />2111G
<br />-50
<br />847.78
<br />62,38
<br />3 --
<br />150;134
<br />1t96.
<br />10 -
<br />501.23
<br />- 21:89-
<br />17,
<br />SSG: -30
<br />63.63
<br />10
<br />20'
<br />158,38
<br />166:72
<br />2.19-
<br />10-
<br />509.68
<br />22:62:
<br />10
<br />864:82
<br />64. VO
<br />20
<br />4235.3
<br />2:43
<br />20
<br />518,08
<br />23,38
<br />20 .
<br />873:35
<br />00.18
<br />30
<br />175.OG
<br />2.67
<br />30
<br />526.48
<br />24,94
<br />30
<br />881.88
<br />07,47
<br />40
<br />183,40
<br />2.03'
<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 />'50r
<br />543.29'
<br />25.70
<br />50
<br />895.9,5
<br />70.09
<br />4
<br />200,03
<br />3,49
<br />11
<br />551..70
<br />26.50
<br />18
<br />907-49
<br />71.42
<br />10
<br />208:43
<br />3.79
<br />10
<br />560:i1
<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 />2647.8
<br />74.12
<br />30
<br />225.12.
<br />4.42
<br />30-
<br />576:95
<br />28:97
<br />30
<br />-924.55
<br />.933.13
<br />75.49
<br />40
<br />233,47
<br />4-76
<br />40
<br />5S5.36
<br />29.82
<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 />S
<br />250,16
<br />5:46.
<br />12
<br />'602.21'
<br />31.56
<br />19
<br />958.81•
<br />79.67
<br />14
<br />238.51
<br />5,83
<br />10'
<br />610-0.1
<br />32.45
<br />10'
<br />967.38
<br />371.0
<br />20
<br />266,80•,.,
<br />G. 21
<br />20
<br />619.07
<br />23.35,
<br />-. 20
<br />975,96
<br />.81.09
<br />S2.53
<br />30
<br />275.21
<br />-6.61-
<br />-.36
<br />627.50
<br />'34.26
<br />- 30_
<br />'084,:53
<br />S3.97
<br />40
<br />283.,57
<br />.`' 7.01-
<br />40
<br />635.93
<br />35.18
<br />40•
<br />093.12
<br />85.43
<br />50
<br />291,92
<br />7.43
<br />50
<br />G44.37
<br />36.12
<br />50-
<br />1001.7
<br />'.56,90
<br />6 _
<br />300.25
<br />•7.S6'
<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 />35-03
<br />10..
<br />1018.9
<br />89.89
<br />20.
<br />316.99,
<br />S.76
<br />20
<br />.609.70
<br />39.01
<br />- 20'
<br />1027.5
<br />91.40
<br />30
<br />-325:33
<br />9.23
<br />36
<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 />94.413
<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 />'
<br />350:44-
<br />10,71
<br />14
<br />='703,51.
<br />43,03'
<br />21 ---
<br />1001:0..
<br />97.5-7
<br />14
<br />358:5'1--11.22
<br />177--55
<br />10
<br />'711.97
<br />44-07''
<br />- 10
<br />10706
<br />99.16
<br />20,
<br />367.17
<br />11.75
<br />20
<br />720.44
<br />45,12
<br />20
<br />1079.2
<br />lUp.7-
<br />30._.375,54'
<br />1455"1
<br />12:29
<br />30
<br />728.90
<br />46.18
<br />'- 30
<br />2228.1,
<br />103:3a
<br />140
<br />383,91
<br />12.85,
<br />40
<br />'737.37'
<br />47.25
<br />,1087.8'`'
<br />40
<br />1090,4
<br />"103,97
<br />50
<br />392.25
<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-Tarlgen't. E =External.)
<br />Iu1:
<br />Angle
<br />Curve'S°
<br />10° 15°
<br />°
<br />20 ( 25°
<br />'30°`
<br />3,5°
<br />40°
<br />45° 50°
<br />'05° 60°
<br />65°
<br />70'
<br />-5° .I.
<br />T=.02
<br />,03, .,05
<br />,OG .08 ,
<br />.10
<br />.11
<br />.13
<br />..15 .16
<br />.18 .20
<br />.21
<br />.23
<br />1490.7
<br />E =,000
<br />,000 .00I
<br />,001 '.002
<br />,002
<br />.002
<br />,003
<br />.003 .004
<br />.004 ,004
<br />.005
<br />.005
<br />10°
<br />T=:03
<br />.06 09
<br />.13 .16
<br />.19
<br />.22
<br />'-25
<br />.28 -JI
<br />:.34 33
<br />.42
<br />.46
<br />303.5
<br />E =-001
<br />„003 ,001
<br />,006 .007
<br />-003
<br />009
<br />-.011
<br />.012 .014
<br />.015 :,017
<br />.018
<br />.020
<br />15°
<br />T=.04
<br />lA .14'
<br />.19. .24
<br />29-
<br />,'4
<br />.30
<br />.45 51
<br />.58
<br />.63
<br />.68
<br />30 •.
<br />E=.003
<br />:007 .010
<br />'.0144-.018
<br />.023
<br />.027
<br />-029
<br />-032 ,:035
<br />,-53
<br />.039 -•.043
<br />.,047
<br />.051
<br />20°
<br />T=-06•
<br />.13 .19
<br />.26 .32
<br />1 .39
<br />,45
<br />.51
<br />58 . -65
<br />.72
<br />.84
<br />..90
<br />1935.7
<br />E=:000
<br />.011 •.017
<br />-022 .028
<br />.034
<br />,038
<br />,015
<br />,051 -057•.053
<br />.79
<br />,070
<br />.070
<br />.083
<br />25°
<br />T= -OB
<br />16 .24
<br />.33 ' .40
<br />.49
<br />..58
<br />.67
<br />.75 r83.
<br />.90
<br />105
<br />1,14
<br />126.20
<br />50
<br />.018 .037
<br />.036 .046
<br />-056
<br />-065
<br />.074
<br />.083 .03
<br />.99
<br />-•.100 .120
<br />.127
<br />.13
<br />5 -
<br />TASLE.3 .- Tangentw` n( tExternti[s:to
<br />Chord =100 -ft'>
<br />Int- •
<br />Angle
<br />J-.
<br />Tangent
<br />F� te`tnaI,
<br />Int.;. ,
<br />Azigle
<br />Tangent
<br />Ext•Yrnal
<br />Int.
<br />Angle '
<br />n�"t
<br />External
<br />22°•'
<br />:1133.7,
<br />107:24 j
<br />'29 "
<br />1481,8
<br />188.51
<br />36'_`
<br />1801.7
<br />294.9
<br />11Y'
<br />11h122?4::x108.90
<br />.45'
<br />lb'
<br />1490.7
<br />190.74
<br />10t .
<br />1370,9
<br />297.7
<br />20
<br />,1131:0
<br />110.57
<br />20-
<br />.1499.6
<br />192.99
<br />20
<br />1880:11
<br />300.6
<br />•30..
<br />^'b.40
<br />�1-139'7
<br />112.25
<br />30
<br />+1508.5
<br />195.25
<br />30 ,
<br />1S89.4
<br />303.5
<br />.49
<br />1448.'4`
<br />113.93
<br />40
<br />1517,4
<br />197.53
<br />4U
<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 L
<br />23 ''
<br />T105.7•
<br />117.38
<br />30 •.
<br />1635:3
<br />202.12
<br />37
<br />1917.1
<br />312.2 r
<br />10
<br />-1174.4
<br />119.12
<br />16
<br />1544,2
<br />204.44
<br />' 10
<br />1926.4
<br />315.2
<br />20
<br />11'83:1
<br />120.57
<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 />1-7217:9
<br />1209.2
<br />126.20
<br />50
<br />1580,0
<br />213.86
<br />• 50'
<br />3063.6,
<br />327.1
<br />247 -
<br />-T=.13
<br />128-00
<br />31
<br />1589,.0
<br />216.3'
<br />38
<br />1972,9
<br />330.2
<br />10
<br />1'!26'-6
<br />129.82
<br />10
<br />1548.0
<br />218.7
<br />-- 10
<br />1982,2,
<br />,333.2
<br />20
<br />4235.3
<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 />339.3
<br />40 .:
<br />1252.8
<br />335,35
<br />40
<br />1624.9
<br />226,0
<br />•40
<br />2010-2
<br />'3.12.4
<br />" 50
<br />1261.5
<br />137.23
<br />50
<br />1tl33.0
<br />228.4
<br />50
<br />2019.6
<br />345.5
<br />25
<br />1270,2
<br />139:-71'
<br />32.' •'_•
<br />1G43,0
<br />230'.9
<br />39 •
<br />2020.0
<br />348.0
<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 />20
<br />166 Y,0
<br />235.9
<br />20
<br />2647.8
<br />'354,9
<br />30
<br />1296:5
<br />'144.85
<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 />143,75,
<br />50
<br />1688,1
<br />243.5
<br />50
<br />2076.0
<br />364,5
<br />26 1= Y
<br />1322,8
<br />150.71
<br />33 •
<br />1697.2
<br />246.1'
<br />10 -
<br />2085.4
<br />367.7
<br />10
<br />1331.6
<br />152.09'
<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 />2D
<br />2104:3
<br />374.2
<br />30
<br />1349.2
<br />150.70
<br />30
<br />1724.4
<br />253.9
<br />30
<br />21-13,8
<br />4377.5,
<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 />.1G0.76
<br />50
<br />1742.6'
<br />259.1
<br />50
<br />2132:'7
<br />.384.1
<br />27
<br />137:1:0'.
<br />162;'81
<br />34'-:-
<br />,1751,7:
<br />26118
<br />41
<br />2142.2
<br />387.4
<br />10-
<br />1384.4=
<br />164, SG
<br />. 10
<br />1760.8
<br />264.-a
<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 />i •20
<br />'2161.2.
<br />'394.1
<br />30
<br />1402,0'
<br />169.0.1
<br />30
<br />1773.0
<br />269.9
<br />30
<br />'2170,8'
<br />397.4
<br />40
<br />1410.9
<br />'171,15
<br />40
<br />1733,2
<br />272•G
<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 />i
<br />.2189.9
<br />404.2
<br />28 -'
<br />1428 6�
<br />175:if
<br />; 3;'
<br />]866,'6
<br />. 278`.1
<br />i
<br />42 '•
<br />2199.4
<br />.407.6
<br />'411.1
<br />10
<br />1437-4
<br />177--55
<br />• 10
<br />11815.'7_
<br />29O.S
<br />10
<br />2209 ,.0,
<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 />r•'30'
<br />1834.1
<br />286.4
<br />30
<br />2228.1,
<br />418,0
<br />40
<br />7464.0
<br />184.08
<br />"• 40
<br />1343.3
<br />289.`2
<br />40
<br />2237.7
<br />421.4
<br />50
<br />1,472.9
<br />180.29
<br />50
<br />1,852.5
<br />292.0
<br />50
<br />2247.3
<br />425.0
<br />Corrections to :be Added '(T = Tangent. •E =External.)
<br />Angle
<br />Curve 5°
<br />10°
<br />15°
<br />29°
<br />25°•
<br />30°
<br />35°
<br />•40°
<br />45° 50°
<br />55°
<br />60°
<br />65° 70°
<br />YOe
<br />T--iM
<br />13,
<br />.19
<br />.26
<br />.32
<br />• .39
<br />.45'
<br />.51
<br />.58 .65,
<br />.72'-
<br />.79
<br />.84 .90
<br />_
<br />E=;000
<br />All
<br />.O1^r
<br />.022
<br />.023
<br />.034
<br />.038
<br />.045
<br />.051 .057
<br />,003
<br />.070
<br />.076 .083
<br />25°
<br />T = D
<br />•113
<br />.24
<br />.33
<br />.49
<br />.49
<br />'.58
<br />.67
<br />.7S E3
<br />.90
<br />.99
<br />L.W 1.14
<br />E =.000
<br />.018
<br />.027
<br />.026
<br />-046
<br />.056
<br />.065
<br />.974
<br />.083 .093
<br />.106
<br />.120
<br />.127 .135
<br />30°
<br />-Tm.IO
<br />.19
<br />M9
<br />,30
<br />AU
<br />.59
<br />G9
<br />.79
<br />.89' .99
<br />1.09
<br />1.20
<br />1.29 1.39
<br />.
<br />E =.013
<br />'.025
<br />.038
<br />.051
<br />.065
<br />.073
<br />.090
<br />.103
<br />.110 .129
<br />.149
<br />.170
<br />.179 .188
<br />35° `
<br />T=•11
<br />.22
<br />.34
<br />.47
<br />,58
<br />.60
<br />' .80
<br />.93.
<br />1.05 1.17
<br />1.29
<br />1.42
<br />1.54 1.66
<br />_'E -.01S
<br />.035
<br />.054
<br />.072
<br />,.080
<br />.109
<br />.131
<br />-:153
<br />.175 .197
<br />' ;213
<br />.230
<br />.247 .264
<br />_
<br />9U'
<br />-T=.13
<br />.26
<br />.40
<br />.53
<br />.67
<br />.SO
<br />.93
<br />1:06
<br />1.20 1.34
<br />1.49,
<br />1.64
<br />1.79 1.94
<br />1i=.023
<br />.046
<br />`.070
<br />-,093
<br />.117
<br />141
<br />.172
<br />.203
<br />.234 .265
<br />.277
<br />.200
<br />.315 341
<br />T=.1,5
<br />.20..
<br />44
<br />.60
<br />,76
<br />.91
<br />1.06-
<br />1.21
<br />1.37 1.52
<br />1.70
<br />1.87
<br />2.04 2.21
<br />E :030
<br />.060
<br />.093
<br />.119
<br />:153
<br />;184
<br />•216
<br />.254
<br />.289 .325
<br />.351
<br />378
<br />.411 .445
<br />1V
<br />
|