|
II TA111.iI. - Tangents;and Externals to a 1° C117e..
<br />' Chnrrl =1011 f+
<br />Int.
<br />Angle
<br />Tan ent
<br />g
<br />External
<br />Int-
<br />Angie.
<br />Tan ent
<br />g -
<br />External'
<br />•Ansje
<br />Tangent
<br />Externel
<br />SS° 60°
<br />50.00,
<br />.22
<br />7 81
<br />`400.66
<br />I3.99
<br />V15'
<br />40°
<br />49.44
<br />10'
<br />58.34
<br />.30
<br />'
<br />-10'''
<br />409.03
<br />14.58
<br />.G8'
<br />,754.32
<br />762.80
<br />50.50
<br />20
<br />66.67,
<br />.39
<br />20
<br />'30
<br />417:41
<br />_ I5. 18
<br />.10
<br />'20
<br />„771.29;
<br />51':68
<br />30
<br />75.01
<br />.49'
<br />_.003
<br />425.79
<br />15.80
<br />30
<br />779.1;
<br />: 52:82
<br />40
<br />83:34'
<br />.61
<br />40
<br />434.17
<br />16.43
<br />40 '
<br />'788:2G
<br />'53,97
<br />50 ,
<br />91.68
<br />.73
<br />.50
<br />.442.55
<br />17.07
<br />50
<br />796,:75
<br />-. 55`13
<br />-10
<br />.015
<br />.020
<br />15°
<br />450.93
<br />1 7. 72
<br />.16
<br />'805.25
<br />56.31
<br />.45
<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 />116,68
<br />- 1.19'
<br />20 .
<br />,467.'71-
<br />19-06
<br />20•
<br />822.21
<br />50.70
<br />30
<br />125.02
<br />1".36
<br />= 30 ...476.10
<br />.58
<br />19.755
<br />:_30
<br />830:76
<br />59,91
<br />40
<br />133.36
<br />1.55•
<br />40-
<br />484,-49
<br />20.4540-
<br />.051
<br />539.27
<br />01.14
<br />50
<br />141.70:
<br />1:75
<br />:50
<br />49
<br />21:16.
<br />50
<br />847.73
<br />62.38
<br />3
<br />150.04
<br />1.9G
<br />10,
<br />501.25
<br />21,89
<br />17,
<br />856.30
<br />63. G3
<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 />166.72
<br />2:A 3'
<br />20 .
<br />518.08
<br />23.38
<br />-;20-
<br />1932.2,
<br />66.18
<br />30
<br />175.06
<br />2.67
<br />,r 30
<br />526.48
<br />24,14•,
<br />30•.
<br />.573.35
<br />.881.88
<br />67'-47
<br />40
<br />183.40
<br />2.93
<br />40
<br />:°34:89
<br />24.91
<br />40
<br />890,41
<br />G8.77
<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 />a 4
<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 />560.11.
<br />27.31
<br />10
<br />916.03
<br />72,.76
<br />20
<br />216.77
<br />''
<br />20
<br />565,53
<br />•28.14
<br />20
<br />924.58'
<br />74.12
<br />30
<br />225.12
<br />4.42
<br />'4:16
<br />90"
<br />576.95
<br />28:97
<br />30
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />144:85
<br />40
<br />.585.36
<br />20.82
<br />40
<br />941.69
<br />776.86
<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 />5
<br />250.16
<br />5.46:
<br />12 L
<br />'602,21
<br />31':56
<br />10
<br />958.61
<br />79.67
<br />10
<br />258.51
<br />5.53-
<br />-'10
<br />610.6.4
<br />32,45
<br />10
<br />OG7.38-
<br />81.03 '
<br />20
<br />206.86
<br />6.21
<br />-20
<br />619.07
<br />-33.85
<br />20
<br />975.96
<br />82,53
<br />30
<br />275.21
<br />6,61
<br />30
<br />6.27':50
<br />34,26
<br />30
<br />984.53
<br />83.97
<br />40-
<br />283.57
<br />7.01
<br />40
<br />635.93.
<br />35.18_
<br />-10'
<br />993.12
<br />85:43
<br />50
<br />291.92
<br />r
<br />7.43
<br />50 ,
<br />64:1.37
<br />•36.12
<br />50
<br />1001.7
<br />SGAO
<br />6
<br />300.2S
<br />7.S6'
<br />13
<br />G52,81-
<br />-37.07
<br />20 7
<br />1010.3
<br />SS,39-
<br />10
<br />303.64`
<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 />'GG9.70
<br />39.01
<br />20'
<br />1027.5-
<br />•91,40
<br />30
<br />325.35
<br />9.23
<br />30..
<br />GMM 5-
<br />.39.99
<br />30
<br />1036.1 e
<br />92.92
<br />40
<br />-333.71
<br />9.71
<br />40
<br />686.60
<br />40.90
<br />40 ,
<br />1044.7-"
<br />94.46
<br />50
<br />342. CIS.
<br />10.20
<br />- 50'
<br />05.Ob
<br />42.00
<br />50
<br />1053.3'
<br />96.0I
<br />7
<br />-350,-44
<br />10,71
<br />14`
<br />703-51.
<br />•43.03,•
<br />211001:-9
<br />2189.9
<br />97,57=
<br />10 '--358:SY
<br />142
<br />,-11,22
<br />10
<br />711.9744.07'
<br />278.1
<br />_i0
<br />1070:G _
<br />99.16
<br />20
<br />307.17.
<br />)1,75
<br />20
<br />720.44
<br />45.12
<br />20 -111,11,
<br />-2
<br />100.75
<br />30
<br />.375.54
<br />12,29
<br />30
<br />728.90
<br />46-i8
<br />30
<br />lns7-3•.102.35
<br />414.5
<br />40
<br />383.91
<br />12,85
<br />40
<br />737.37
<br />' 47-25
<br />40 '1096:4
<br />'2228:1
<br />103.97
<br />50
<br />392,,28'f
<br />13,41
<br />50,
<br />745.85
<br />48,34•
<br />50
<br />1105:1
<br />105.60
<br />T
<br />is
<br />• -4
<br />Corrections to be Added -(T=Tangent:- E=External.)- --
<br />Int.
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int'
<br />Angle
<br />Tangent
<br />External
<br />SS° 60°
<br />65°
<br />9agla
<br />Curve 5° 10° 15° 120°
<br />25°
<br />301�
<br />35°
<br />40°
<br />45°
<br />SU°
<br />550 60
<br />-65°'
<br />70°-
<br />5°
<br />T=.02- ,03 A5 .06
<br />.G8'
<br />:10
<br />.I1'
<br />-.13
<br />_15
<br />.16
<br />.18 .20
<br />121
<br />190.74
<br />10'
<br />P =.0{)U .000 -.001 .001
<br />%002
<br />.002
<br />.,002
<br />.003
<br />_.003
<br />.004
<br />.004 .00.4
<br />_.005
<br />.23.
<br />.005
<br />loo
<br />=.OB A9 .13
<br />L::()
<br />.16
<br />.19
<br />,22
<br />.2.i
<br />A8
<br />.31
<br />.34. -
<br />.42
<br />.46.
<br />'1148,4
<br />E =.001 D03 .004 .006
<br />.007
<br />-003
<br />,009
<br />.011
<br />,.012
<br />+,•014
<br />,015 ,017'
<br />.015
<br />.020
<br />15°
<br />T =•04 .10 :14 .19
<br />24
<br />.20
<br />3'4.30
<br />309,3
<br />.45
<br />.51':.53
<br />.58
<br />AS,
<br />1535.3-
<br />202.12
<br />=
<br />E ,003 ,007 .010 _014
<br />.018
<br />.023
<br />.027
<br />,029
<br />.032
<br />.035
<br />..039 .043
<br />.047
<br />.68
<br />.051
<br />20°
<br />P=_06 'x.13 .19 .26
<br />.32
<br />.39
<br />,45'
<br />.51
<br />.58
<br />.G5
<br />,72 '.79
<br />1935.7
<br />318.1
<br />-30
<br />,011 ;.017 ..022
<br />.028
<br />.034
<br />.038
<br />,015
<br />.051
<br />.0.57
<br />063 ,070
<br />40.
<br />,9QE=.006
<br />.68325°.
<br />124.41
<br />T-.08 16 - 24 .33
<br />40
<br />.49'
<br />.58
<br />67
<br />75
<br />.83
<br />.90
<br />4127
<br />1-14.E=,009
<br />1580.0;.213.86
<br />018 .A27 .036
<br />046
<br />:O5G
<br />.065
<br />.074
<br />.083
<br />.093
<br />.99
<br />,106 .120
<br />1589.0,
<br />.135
<br />. - . - - , I.,
<br />,TAji:n I. Tan gents And Externals to a 1* Curve.
<br />Chard=1`W t:
<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 />SS° 60°
<br />65°
<br />70°
<br />20°'a
<br />'T =.06
<br />13
<br />19
<br />.39
<br />..26F.4D
<br />294 9
<br />22°
<br />1113:7
<br />107.24
<br />29°
<br />1481:8
<br />188.51
<br />36°
<br />1861,7
<br />.011
<br />--.017
<br />1122.4;
<br />108.90
<br />10'
<br />1490.7
<br />190.74
<br />10'
<br />1870.9
<br />297.7
<br />_100
<br />20-
<br />.1131:0,7
<br />110.57
<br />'20
<br />1499.6
<br />-192.99
<br />20
<br />1880.3
<br />300.6
<br />_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
<br />1526.3'
<br />199.82
<br />50
<br />1907.9
<br />309,3
<br />23_
<br />1165'.7"
<br />117-38
<br />36
<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 />1644.2'
<br />204.44
<br />10
<br />192f,.4
<br />315,2
<br />20
<br />1183.1
<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 />1200.5
<br />124.41
<br />40
<br />1571.0;
<br />211.48
<br />40
<br />-19.54.3
<br />324,1
<br />'50
<br />1209.2
<br />126.20
<br />50
<br />1580.0;.213.86
<br />.046
<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 />3S
<br />1972.9'
<br />330.2
<br />,:10
<br />1226.6
<br />129.82
<br />7 10
<br />1598.0
<br />218.7
<br />10
<br />1932.2,
<br />333.2
<br />20
<br />123,;.3
<br />131_05
<br />- '20
<br />1600.9.
<br />221.1
<br />20
<br />MOL5
<br />336.3
<br />30
<br />1244.0
<br />133,5030
<br />1615.9-,
<br />223.5
<br />3U
<br />2000.9
<br />339,3
<br />-40
<br />1252,8-
<br />135.35
<br />140
<br />1624,9
<br />226.0
<br />'" 40
<br />2010.2
<br />343,4
<br />50
<br />1201-.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 />14;43.0
<br />230.9
<br />'39
<br />2029,0
<br />343.6
<br />10
<br />127910141.01
<br />''
<br />'•10
<br />1652.0
<br />233.4
<br />10
<br />2038.4
<br />351,8
<br />20
<br />1237:7,'
<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 />2057.2
<br />358,1
<br />40
<br />1305,3
<br />140.79
<br />40
<br />1679.1
<br />241,0
<br />40
<br />2066,6
<br />361,3
<br />501
<br />1314.0
<br />148.75
<br />50
<br />1G8S.1
<br />243'.5
<br />50
<br />2076-0
<br />36.1,5
<br />26
<br />1322.8'
<br />150.71
<br />33
<br />169712 .
<br />246.1
<br />40
<br />2085:4
<br />367.7
<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 />1715.'3
<br />.251.3
<br />20
<br />2104.3
<br />374.2
<br />-30
<br />1349.2'
<br />156.70
<br />:iO
<br />1724.4
<br />253.9
<br />30
<br />2113.8
<br />377.5
<br />_ 40
<br />1153.0'_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 />.184,1.
<br />27
<br />1375.6•'162.81'
<br />34 '
<br />1751.7
<br />261.8
<br />4L
<br />2142.2
<br />337.4
<br />10
<br />1384.4
<br />164.86
<br />10
<br />1700.8.
<br />21'4.5
<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
<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 />'50
<br />2180:3
<br />400.8
<br />50
<br />1419.7.
<br />173.27
<br />50
<br />1797.4
<br />' 275.3
<br />2189.9
<br />404.2
<br />2d
<br />142
<br />175.41
<br />35"'--'
<br />180G:G
<br />278.1
<br />42
<br />2199.4
<br />407.E
<br />10'
<br />1437.3.'6 4
<br />-177.55
<br />110'
<br />I815.7.
<br />280.8
<br />.-10
<br />2209.0
<br />411.1
<br />20
<br />1446.3
<br />179.72
<br />20
<br />1&24.0
<br />283.6
<br />•20
<br />2218.6
<br />414.5
<br />30
<br />145 .1
<br />181.89
<br />.30
<br />1834.1
<br />286.4
<br />30
<br />'2228:1
<br />418.0
<br />_ 40
<br />1.464:0
<br />184.08
<br />40
<br />1S43.3
<br />289.2
<br />40
<br />2237.7
<br />431.4
<br />50
<br />1472:.9:
<br />18G.29
<br />50
<br />'1552.5
<br />292.0
<br />50
<br />2247.3
<br />425.0
<br />Corrections -to be,Added (T=Tangent. E -External.)
<br />Int.
<br />Apgle
<br />Carve S°
<br />14°
<br />15°
<br />20° 25° 30°
<br />35°
<br />401
<br />451
<br />50°
<br />SS° 60°
<br />65°
<br />70°
<br />20°'a
<br />'T =.06
<br />13
<br />19
<br />.39
<br />..26F.4D
<br />.45
<br />.51
<br />.58
<br />-.65
<br />.72 .79
<br />.84
<br />90
<br />E.--.006
<br />.011
<br />--.017
<br />.022 .034
<br />.038
<br />.045
<br />,051
<br />.057
<br />.063 .070
<br />.076
<br />.083
<br />25'
<br />T=.08
<br />.16
<br />.24
<br />.33 .49
<br />.59
<br />.67
<br />.75
<br />A3
<br />.90 .99
<br />LOG
<br />IM
<br />E=.009
<br />.018
<br />.027
<br />.036 ..050
<br />.005
<br />.074
<br />.083
<br />.093
<br />.1 OG .120
<br />.127
<br />.135
<br />311°
<br />-T=.I9
<br />:19
<br />29
<br />.39 .59
<br />.G9
<br />.79
<br />.89
<br />.99
<br />1.09 1.24
<br />129
<br />1.39
<br />E =.013
<br />.025..033
<br />,051 .078
<br />.090
<br />.103
<br />.116
<br />.129
<br />.149 ,170
<br />.179
<br />.183
<br />35o
<br />T-:11
<br />.22
<br />.34..47
<br />.5S 69
<br />.SO
<br />.93
<br />1.05
<br />1.17
<br />1,29 1.42
<br />1.54
<br />1.66
<br />E=A1S
<br />Q35
<br />.054
<br />.072 .OS6 ,100
<br />.131
<br />,153
<br />.175
<br />.197
<br />.21.3 230
<br />247
<br />.264
<br />qUv
<br />T=.13 '
<br />.26
<br />-.40
<br />.53 .67
<br />1.06
<br />.1.20
<br />1.34
<br />1.49 1.64.
<br />1,79
<br />1.94
<br />E=.023
<br />.046
<br />.07C
<br />.093 111
<br />�D3
<br />:334
<br />.265
<br />.277 .290
<br />.315
<br />.341
<br />45°
<br />T--15"
<br />80
<br />A4
<br />:GO ' ,76
<br />+1.112
<br />1.°_1
<br />1.37
<br />1.52
<br />1:70 1.87
<br />2.04
<br />2,21-.030
<br />A6Q
<br />.093
<br />.119 .153
<br />_ .254.
<br />_ .289
<br />-,325
<br />,.351 .378
<br />_.411
<br />_-.445
<br />
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