|
I
<br />II" TABLE I. -Tangents and'
<br />Eilternails to a P° Curve:'
<br />Chord -100 ft.
<br />Ink.
<br />Aa¢te'
<br />Tangent
<br />External
<br />Int -..t
<br />Angle,
<br />% 1 ,.
<br />Tangent
<br />I`.
<br />internal
<br />`Int
<br />: _Angle .
<br />Tangent
<br />-' "
<br />External
<br />7"
<br />00
<br />4;,.22a-
<br />_".8" `!
<br />400:6U;
<br />`13.99`'.:15°
<br />':004
<br />754.32
<br />49:44'
<br />10'
<br />.58:34
<br />9,U '
<br />10'
<br />409:03
<br />14.58 -
<br />10'•
<br />.762.80
<br />60.55
<br />°'0
<br />G0.67
<br />89.,
<br />! z 20;1.,;417.'41,
<br />10 .24 .29 ".34• ,.39
<br />15.16.
<br />20
<br />771.29
<br />51.68
<br />30
<br />75:01
<br />1�. 49 _
<br />�� 30 7
<br />.425.79
<br />115.60
<br />30`
<br />• 779.77
<br />52.82
<br />40
<br />83.34:
<br />G1
<br />40`
<br />.434.1T
<br />.18.43'
<br />1:'"90'
<br />,,788.26'
<br />63.97»
<br />25° T=f08 I6
<br />.24- ..33 .40 .48 .58 .67
<br />.75 .83 .90
<br />.99
<br />.4.42.55
<br />17._07
<br />50
<br />,796,75
<br />e55.13
<br />.t)n
<br />.127
<br />.136
<br />J50
<br />1535:3
<br />202.12
<br />37 ''
<br />1917.1
<br />312.2
<br />2 x'
<br />100 0I387
<br />=
<br />r 9 7'
<br />r450s93i
<br />17 72
<br />16
<br />805.25'
<br />"56:3L
<br />10 '
<br />708.35"
<br />=� 4`027:
<br />' { 10 1
<br />A59 32
<br />.`JI -81.2&"
<br />10'
<br />813.75'
<br />: 57i 50
<br />20"
<br />119.68
<br />1-19
<br />20',
<br />467:71
<br />,_•19.06
<br />20
<br />822.25;
<br />58:70
<br />30"
<br />.125.02.
<br />1.36,
<br />30.,
<br />1
<br />476.10
<br />19.75
<br />'# '30,
<br />"830.76,
<br />t 59.91
<br />40'
<br />133:36'
<br />Lr55
<br />40''"484.49
<br />1580.0'
<br />20.451.
<br />` 40 '
<br />•839:27''.61':14
<br />•"327.1.
<br />-241:70
<br />A:751'
<br />ST
<br />.!492:88
<br />''21,16,
<br />50 .-:847'.78.
<br />62.38
<br />a24
<br />;1217.'9
<br />128 Q0 .;'
<br />31
<br />1589 0
<br />' 216:3 `
<br />"38,711"
<br />11972.9
<br />:330.2
<br />_73''
<br />150` 04
<br />1 96 1
<br />79 *.
<br />501 28:
<br />21.89•
<br />17
<br />856 80_.
<br />- 63.63
<br />10,
<br />a.IS '38
<br />2 19 '•
<br />7 10 ,
<br />509 68-
<br />22 62
<br />, 10'
<br />.864.82:
<br />.64.`90
<br />20
<br />166.72
<br />2.43
<br />'
<br />20'
<br />`518.08.
<br />;23:38•
<br />120.'
<br />,'873.35
<br />G0f18
<br />30
<br />175.OG
<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 />10 ';,1279:0,
<br />141 01•..
<br />..10
<br />1652:0
<br />233.4
<br />10
<br />'2038.4`.':,351,8
<br />!.
<br />,
<br />200:03'
<br />K '3.49
<br />31{: r
<br />551.'70
<br />26.50,
<br />1-8-:' M -
<br />907.49:1
<br />71.42
<br />10
<br />208,43
<br />3:79
<br />10
<br />660:Y1
<br />27.31
<br />10
<br />k016.03.p-
<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 />226,12'
<br />4:42
<br />-'30.
<br />576,95
<br />28.97.•
<br />30-
<br />933`,13
<br />75.49
<br />'4U
<br />233.47'
<br />'4,765'
<br />40
<br />X585:36
<br />"`,29:82'
<br />..40"
<br />941:69
<br />371.0
<br />50
<br />241.SL
<br />5:70-
<br />:"`.50',
<br />'593,79
<br />:'°30:68°t
<br />E Y250
<br />950`.25
<br />.78.26
<br />30
<br />1349:2
<br />fi-'
<br />• f30 .j
<br />1724,4
<br />k
<br />1194
<br />2113.8:
<br />377.5
<br />8
<br />256.16
<br />5146
<br />12 2 -
<br />dw"21•
<br />31.56
<br />• - 40
<br />958.81
<br />380.8
<br />10
<br />258.5L
<br />5.83
<br />16 `
<br />610:64
<br />132.45
<br />10
<br />967.38.'
<br />,'79.67
<br />81,09
<br />•20
<br />266.86
<br />'.; 6.21 -,
<br />20,;,
<br />619.07
<br />.'.33.35.
<br />20
<br />•975.96
<br />82.53 t
<br />30
<br />275.21
<br />6.61
<br />- 36
<br />"627:50,
<br />..34.26'
<br />30
<br />'984.53
<br />83.97
<br />40
<br />233.57
<br />7101'
<br />,40-
<br />'635.93
<br />'35.18
<br />4p=•
<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 />8
<br />30q 28!
<br />7 66
<br />13'"
<br />052 81
<br />'37'&.'
<br />20 1'1
<br />1010.3
<br />88.39"
<br />10.•
<br />.368:64,
<br />8.31
<br />JO_
<br />1,661.25:
<br />38.03•,
<br />- ,,.•-,10;'
<br />'.,,"
<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 ,91.40
<br />91.40
<br />30
<br />325.35
<br />9.23
<br />30-izG78..L5
<br />1815.7
<br />! 39.99
<br />30
<br />1036.1
<br />92.92
<br />40
<br />`333:71-
<br />- 9.71
<br />40,
<br />680.60
<br />;. 40.99 ,
<br />r 40 ..1044-:7
<br />'
<br />94,46
<br />b0
<br />342_:08.
<br />0,`10,20
<br />50.`i,_1695".
<br />06
<br />42.00-
<br />50'
<br />1053,3
<br />98,01
<br />'AO
<br />-1464.0
<br />184.08
<br />40
<br />l;
<br />289.2
<br />a 40 ;'2237..7'.
<br />421.4
<br />7 •350
<br />,44`
<br />10.71
<br />14 ""
<br />703.51=
<br />" "43.03 '
<br />, 21 ' `
<br />1061:9
<br />97.57
<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 />367:17.'•
<br />-11:75
<br />•E': 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 />6.18
<br />,•30-t
<br />1087.8-
<br />102,35
<br />40
<br />333:91'.`-12:85
<br />" 40'
<br />737,.37
<br />:'47 ,_25`
<br />!'
<br />40
<br />'1096.4
<br />103.97
<br />50,
<br />392.28:
<br />13.41
<br />),50;
<br />;745.85:
<br />.48.34
<br />' 60
<br />1105.1
<br />105.00
<br />Corrections to.be Added (T =Tangent. E=External.)
<br />lnt
<br />Angle I L%Hve 5° 10°
<br />15° 20° .2$° 30° 45°. 40°
<br />45° Sr 55°
<br />60"
<br />65°
<br />70°
<br />5°. -T=.02• :03
<br />.05 '.06 '.08' .10,11 :13
<br />15 .16 .18
<br />.20-
<br />.21
<br />.23
<br />E=.000 .000
<br />.001' 001 .002 .002 ,.002 .0031=.003.
<br />.004 .004
<br />':004
<br />.005
<br />.005
<br />IQ, T=.03 .06
<br />.09 l3 .10 19 .22 .25
<br />-.28. •.31 .34
<br />.38
<br />2
<br />.40
<br />E -.00L .003
<br />,0% ,006 .007 :008 .009 .01111'.013
<br />,.014 -Al6
<br />.017
<br />.018
<br />:020
<br />150 T=.04 ,10-.19
<br />10 .24 .29 ".34• ,.39
<br />A5 .51 ,:53
<br />.58
<br />.63
<br />.68
<br />E=.003 .007
<br />'.010 .014 .018 .023 .027 .029
<br />=2 ".035 .039
<br />.043
<br />.047
<br />.051
<br />�° T=.08:.' .13
<br />:19 28 .32 39 45 .51
<br />.58 .65 .72•
<br />.79
<br />:,.1149°4;
<br />•.90
<br />E=.006 .011
<br />.017 .022 .028 .034 .038 .045
<br />.051 .057 .003
<br />.070
<br />:07
<br />,..076
<br />.083
<br />25° T=f08 I6
<br />.24- ..33 .40 .48 .58 .67
<br />.75 .83 .90
<br />.99
<br />1.00
<br />1.14
<br />E='A09 .018
<br />.027 .036 .040 '.050 .005 .074
<br />.083 :093 .100
<br />.t)n
<br />.127
<br />.136
<br />m
<br />._TAi1LE'I.- =_Tangents and Externals to a 1° Curve. III
<br />'Chord'= 1001 t?
<br />Correetions.tobeAdded'(T=.Tangent. -E External)- ..
<br />-Int:-Curve$,
<br />Angle
<br />Tai,gent
<br />FxLer, L
<br />Int.
<br />"Angle _
<br />Tangent
<br />External
<br />Inw -
<br />Angle'
<br />Tangent
<br />-'- -
<br />Eztemaf
<br />22
<br />1113.7+
<br />107.21
<br />29°-'
<br />1481.8
<br />188.51
<br />36`
<br />1861.7
<br />294.9
<br />ICY
<br />-1122.•4;
<br />108,00
<br />Ld
<br />1490.7
<br />190.74.
<br />10'
<br />1870.9
<br />297.7
<br />0 '
<br />1131:0
<br />11.0 '7-
<br />20
<br />1499.6
<br />192.99
<br />20
<br />1880.1
<br />300.6.
<br />30.$.1139:7
<br />.29
<br />112.25 °
<br />_ 30 .
<br />'1508:5
<br />195.25
<br />30
<br />1389.4
<br />303.5
<br />Y40 4U
<br />:,.1149°4;
<br />►13.05
<br />40
<br />25i7.4
<br />_
<br />197.53
<br />90
<br />1898.0•
<br />306.4
<br />-50 I
<br />.115770
<br />'115:66
<br />'50
<br />'1526.3
<br />199.82
<br />-50
<br />1907.9,
<br />.309.3
<br />28
<br />1105:7,
<br />.117.38
<br />30'
<br />1535:3
<br />202.12
<br />37 ''
<br />1917.1
<br />312.2
<br />]0 '
<br />,1174:4
<br />119.12
<br />10
<br />'1544:2
<br />204.44
<br />10
<br />1926.4
<br />315.2
<br />20
<br />' 1183. 1,
<br />.003
<br />20
<br />7553.1.
<br />206.7.7
<br />20 '•:1935.7
<br />30
<br />119].$ Y
<br />.120:87
<br />:;
<br />30
<br />7562.1
<br />209:12'
<br />30 -
<br />1945.0
<br />.318.1
<br />321A
<br />C t -4D r
<br />'1200.6'
<br />,122.63
<br />,124,41
<br />:40
<br />1571:0
<br />211.48'.
<br />'140
<br />1954.3.
<br />" 324.1
<br />^-5D
<br />1209:2,
<br />-
<br />120.20'.'
<br />,1=50
<br />1580.0'
<br />213.86
<br />'-50 ',
<br />1963:6
<br />•"327.1.
<br />a24
<br />;1217.'9
<br />128 Q0 .;'
<br />31
<br />1589 0
<br />' 216:3 `
<br />"38,711"
<br />11972.9
<br />:330.2
<br />1"10
<br />1226.6
<br />129.82•.
<br />SO
<br />•1598.0
<br />218:7
<br />'10
<br />;1982.2,
<br />.'333:2
<br />1 20
<br />1235:3;
<br />131.65:
<br />20
<br />1GO6.9`
<br />221.1
<br />J 20
<br />1991,5
<br />.336.3
<br />,`--� 30
<br />11244.0
<br />,133.50'
<br />1615.9'
<br />223:5-
<br />"30 `
<br />(2000.9'
<br />339,3
<br />4U
<br />11252:8
<br />,135.35 '
<br />_30
<br />`- 40
<br />1624.9
<br />226.0
<br />.40
<br />2010.2
<br />':342:4
<br />j' SU
<br />1267:57,137.23
<br />50
<br />1633.9
<br />"228.4 >
<br />`.'..:'50
<br />2019.6
<br />-345.5
<br />2b'
<br />•1270.2'
<br />139 11 '
<br />82' +,
<br />1643:0
<br />230.0'
<br />39
<br />2029.0 ,
<br />:.348:6
<br />10 ';,1279:0,
<br />141 01•..
<br />..10
<br />1652:0
<br />233.4
<br />10
<br />'2038.4`.':,351,8
<br />p.
<br />20 ri
<br />42B7.7
<br />142.93
<br />`
<br />20
<br />`
<br />1661-.0 •
<br />235.9 '`
<br />'238;4
<br />20
<br />2017:8
<br />354.9
<br />.30
<br />40
<br />1296.15'
<br />1395.3.
<br />144.85'
<br />146.79.
<br />1.30
<br />`'40
<br />1670:0
<br />1679.1
<br />ti
<br />0
<br />30 r
<br />L.` 40
<br />X2057.2
<br />.2060.6.
<br />1358.1
<br />"361.3
<br />"50 0
<br />1314.0
<br />148:75 <
<br />-•50
<br />1688.1
<br />.241
<br />24315
<br />'30 t
<br />2076.0
<br />-304.5
<br />261322.8
<br />160.71 ..
<br />33- .e
<br />16J7.2
<br />246.1,
<br />40.'.
<br />2085:4
<br />.367.7
<br />10 ;
<br />1331.6
<br />152.69
<br />10
<br />1700,3
<br />.248 7
<br />10
<br />-2094'.9;
<br />371.0
<br />120
<br />1340.4"+
<br />154.69
<br />'x'20
<br />1715:3
<br />201:3.
<br />20
<br />2104.3
<br />374.2
<br />30
<br />1349:2
<br />156:70
<br />• f30 .j
<br />1724,4
<br />-253 -9'
<br />,30 ..
<br />2113.8:
<br />377.5
<br />,.X-40 •
<br />1358.0'
<br />155.72
<br />`- 40
<br />1733:5
<br />256.5 .'
<br />• - 40
<br />2123.3
<br />380.8
<br />C!50 '1366:8.
<br />1GO.76.
<br />50
<br />1742,6
<br />259.1:
<br />50
<br />2132:7'
<br />384.1
<br />-.27
<br />1375.8
<br />182.81
<br />84 :
<br />1751.7
<br />261:$
<br />`41 "
<br />2142.2
<br />397.4
<br />10 t
<br />1384:4
<br />164786
<br />'10
<br />1760.8
<br />'264:5
<br />t. 10
<br />2151.7
<br />390.7
<br />20
<br />1393:21
<br />166.95 •
<br />``•(20
<br />1770:0
<br />267.2
<br />20
<br />2161.2
<br />'394.1
<br />•,-'30 ,'
<br />3402.0
<br />169.04
<br />30
<br />1779.1
<br />269.0
<br />'_:'30
<br />2170:8
<br />397.4
<br />-40
<br />1430.9
<br />171.15 •
<br />'-40
<br />1788:'2
<br />272.6 ..
<br />i = 40
<br />218013
<br />400.8
<br />' •'•-50 ;']419:7
<br />173.27,
<br />50
<br />1797._4
<br />275.3
<br />50 ''
<br />2189 9
<br />404:2
<br />1428.0 '
<br />175.41:
<br />35 •`
<br />1800.6
<br />2781 -
<br />42 } `
<br />2199.4.
<br />, 407.0
<br />TO ,
<br />1437-4
<br />177-55
<br />10
<br />1815.7
<br />'280.8.
<br />10
<br />2209.0;
<br />411.1
<br />.1446.3
<br />179-72.
<br />`..!20
<br />1824.9
<br />283.6
<br />20
<br />•2218.6
<br />414.5
<br />n '30'
<br />•1455.1
<br />:181.89
<br />•.30
<br />1834.1
<br />286.4'.
<br />30 "
<br />2228.1
<br />418.0
<br />'AO
<br />-1464.0
<br />184.08
<br />40
<br />11843.3
<br />289.2
<br />a 40 ;'2237..7'.
<br />421.4
<br />50: ,•1472.9'
<br />186.29
<br />50
<br />1852:5
<br />292.0
<br />50"
<br />'2247.3
<br />425.0
<br />Correetions.tobeAdded'(T=.Tangent. -E External)- ..
<br />-Int:-Curve$,
<br />Angle
<br />IQ'
<br />15°
<br />.20°
<br />25°• 30°, ,35°
<br />40° 45°
<br />50° -55° 6065 70°
<br />20°
<br />� T D6 `' � 13
<br />.19
<br />m
<br />s32 .39 ' .45
<br />.5 f .58 .
<br />• .65 .72 .79 ' .84 ,.90
<br />E= 006, ml
<br />:61.7.
<br />•.022
<br />; 023 _034 .038
<br />.045 .051
<br />,057 ..063 •-070 .076 .083'
<br />25
<br />TT=.08- .16
<br />.21
<br />:.33'
<br />_.40 .49 :58
<br />,.67 .75
<br />..83 '.90 .99 1.06 1_.14'
<br />a,
<br />E=,009;' •.018
<br />.027
<br />'.036
<br />.046 .056,'.065
<br />074 '.033
<br />.093 .105 .120 .127' .135
<br />T=10 '.19
<br />.29
<br />.39
<br />'.49 .59 .69,
<br />.79 .89
<br />.99 1.09 1.20 1.29 1.39
<br />E=.013 '.025
<br />.038
<br />,051
<br />,065 .078 .000
<br />.103 .116
<br />.129 .149 .170 .179 .f88
<br />:.tea
<br />-• T=.117, ".22.
<br />.34
<br />.47
<br />- :58 .69 .80
<br />.93 L05
<br />1.17 1.29 1.42 1.54 1.68
<br />-E=.018' "'.035
<br />.054-.0
<br />2
<br />.086 .109 .131'
<br />.153 .175
<br />.197 .213 .230 .247 .264
<br />T=.13' .."6.40
<br />.53
<br />67 80 .93
<br />1.20
<br />1.24 1.49 1.64 1.79 L94
<br />- E=.023 ..046
<br />_,7T=15 , - :30
<br />.070
<br />.44
<br />.093
<br />.60
<br />1.117 .141 .172
<br />_1.06,
<br />.203.234
<br />.265 .277 .200 .315 .341
<br />45'
<br />.76 .91 1.06
<br />1.21 1,37
<br />182 1.70 1.87 2.04 2.21
<br />,E=,030 ..000
<br />.003
<br />.119
<br />.153 .184 216
<br />.254 .289
<br />325 351 -378 .411 .445
<br />
|