I
<br />�n
<br />' TARLF V. MTNUTES IN' DECIbIALS OF: A DEGREE; '
<br />Central
<br />1'
<br />2
<br />.0167
<br />11'
<br />.1833
<br />211
<br />,3506
<br />91'
<br />':5167
<br />41'.
<br />.6833,
<br />51'
<br />.8500
<br />.0333
<br />12,
<br />.2000
<br />22
<br />.3667
<br />92'
<br />.5333
<br />42
<br />7000
<br />52
<br />1061.9
<br />97.57
<br />3
<br />4
<br />.0500
<br />13
<br />2167
<br />29
<br />.3933
<br />.33
<br />.5500
<br />43
<br />.7167
<br />53 -
<br />.8667
<br />.8833
<br />20
<br />568.53
<br />.0667
<br />14
<br />-.2333
<br />.24
<br />-40M
<br />34
<br />.5667
<br />44
<br />.7333
<br />54
<br />30
<br />.1087.8
<br />5
<br />.0833
<br />15
<br />.2500
<br />25:
<br />..4167
<br />35. ,
<br />.5833.
<br />'46
<br />.7500'
<br />55
<br />.9000
<br />9167
<br />.73
<br />6
<br />.1000
<br />16
<br />2667
<br />26
<br />'.4333
<br />36
<br />.6090
<br />48
<br />7667
<br />58
<br />31.56
<br />22
<br />7
<br />.1167
<br />17'
<br />.2833[2!9
<br />27
<br />.4500
<br />37
<br />,6167
<br />47
<br />1122.4
<br />' 5
<br />.9333
<br />9540
<br />116:68
<br />8
<br />.1333
<br />18
<br />.30008.,
<br />20
<br />:4667.
<br />.38
<br />.6333
<br />46,
<br />.7833
<br />5
<br />9667
<br />34.26
<br />30
<br />500
<br />20
<br />40
<br />133.36
<br />1.65
<br />40
<br />635.93
<br />35.18
<br />.8000:
<br />1148.4
<br />113.95
<br />50
<br />10
<br />.1667
<br />50
<br />.3333
<br />36.12
<br />.500030
<br />40
<br />.6667
<br />S0
<br />.8333
<br />6
<br />1.4CW
<br />652.81'
<br />TABLE II. -INCHES IN DECIMALS OF A FOOT,
<br />23
<br />exae
<br />J.
<br />34 s� �4
<br />10
<br />0052 .0078 0104 01,16 • .0208 .0260
<br />0313 0417 .0521 .0625 0729
<br />10
<br />1 2 3. 4 5 6 7 8 9 !0 11
<br />38.03
<br />0833 .1667 ,2500 .3333 • .4167 .5000 .5833 ' ,6667 .7500 .8333 91671'x'
<br />1174.4
<br />TABLE III.-iRADII, 'ORDINATES AND DEFLECTIONS.
<br />Deg.
<br />Radius Mid.
<br />Ord.
<br />Tan-
<br />Offset
<br />Def.
<br />for
<br />"
<br />Deg.
<br />Radius
<br />Mid .
<br />Tan
<br />Por
<br />175.06
<br />2.67
<br />30
<br />.
<br />678.15
<br />1 Foot
<br />30
<br />1191.8
<br />Ord. '
<br />,Offset
<br />1 Foot
<br />2.93
<br />40
<br />686.60
<br />40.99
<br />40
<br />1200.5
<br />124.41
<br />50
<br />191.74.
<br />3.21
<br />00 10'
<br />34377.5 .036
<br />145
<br />.. 6,45'
<br />1 7°::
<br />819.02
<br />1.528
<br />6.105
<br />2.10,
<br />20
<br />17183.8 .073
<br />.291
<br />0.10
<br />20
<br />781.84
<br />1.600
<br />6.395
<br />2.20
<br />30
<br />.' 11459.2 .109
<br />..436
<br />0:15
<br />' ,30
<br />764.49
<br />•1,537
<br />6.540
<br />: 2.25
<br />40
<br />8594.42 ..145
<br />.582
<br />•0,20
<br />_ 40
<br />747.89
<br />1.673
<br />6.685
<br />2.30
<br />50
<br />6875,55 `, .182 ,'
<br />.727
<br />0.25
<br />1244.0
<br />133.50
<br />40
<br />233.47
<br />4.76
<br />1
<br />5729.65 .218
<br />,873
<br />0.30
<br />8
<br />20•
<br />716.78
<br />69.16
<br />1.746
<br />1.819
<br />6.976
<br />7,266
<br />2.40
<br />2.50 '
<br />10,.
<br />4911.15 .255 .1.018
<br />48.34
<br />0,35
<br />30
<br />'674.69
<br />1.855
<br />7.411
<br />2.55 ^'
<br />20
<br />4297.28 .291 •1.164
<br />49.44
<br />0.40
<br />44
<br />66T.74
<br />1.892
<br />7.556
<br />2.60 `
<br />30
<br />3819.83 .327
<br />1,309.
<br />0.45,
<br />1279.0
<br />141.01
<br />.
<br />266,86
<br />6.21
<br />40
<br />. 3437.87 .364
<br />1.454
<br />0.50
<br />9
<br />637.28
<br />1.965
<br />7:846
<br />2.76
<br />50
<br />3125.36 .400
<br />1,600:
<br />0.55
<br />20
<br />.. 614.56
<br />2.037
<br />8.136.
<br />2:80
<br />2
<br />2864.93 .436
<br />1.745
<br />0.60
<br />30'
<br />40
<br />603.80
<br />593.42
<br />2.074
<br />2.110
<br />8.281
<br />8.426
<br />2.85
<br />2.90
<br />10
<br />2644.58. .473 '1.891
<br />55.13
<br />0.65
<br />1314.0
<br />'148.75
<br />6
<br />300.28
<br />+i
<br />20
<br />2455.70 .509
<br />2.036
<br />:0.70
<br />10
<br />573..69
<br />2.183:,
<br />8.716
<br />3.00
<br />30
<br />2292.01 ^'.545 •
<br />2.181•
<br />0:75
<br />30
<br />•546.44
<br />2.292
<br />-9.150
<br />3.15
<br />40•
<br />.2148.79, .582
<br />2.327
<br />0.80
<br />11
<br />521,57 ,
<br />2.402
<br />9.585
<br />'•3,30
<br />.50
<br />2022.41 .618
<br />2.472
<br />0.85:
<br />30
<br />499.06
<br />2.511,
<br />10.02
<br />3,4.5 '
<br />3
<br />839.27
<br />61.14
<br />40
<br />12
<br />478.34
<br />2.620
<br />10.45
<br />3,60
<br />50
<br />1910.08 .655'
<br />2.618
<br />0.90
<br />30
<br />459.28
<br />2.730_
<br />10,89
<br />3',75 ".
<br />10
<br />1809.57. ..691
<br />2.763
<br />0.95
<br />13441,68
<br />162.51
<br />2.839
<br />11.32
<br />3,90
<br />20
<br />1719.12 727
<br />2.908
<br />1.00
<br />30
<br />425.40
<br />2.949
<br />11.75
<br />4.05
<br />30
<br />1637.28 .764
<br />3.054
<br />1.05
<br />14
<br />410.28
<br />3.058
<br />12.18
<br />4.20 .
<br />40 .
<br />1562.88 .800
<br />3.199
<br />1.10
<br />30,
<br />•396.20
<br />3.168,
<br />12,52
<br />4.35
<br />50
<br />1494.95 .836'
<br />3.345
<br />1,15
<br />1410.9
<br />171.15
<br />50
<br />392.28
<br />13.41
<br />4
<br />898.95
<br />70.09
<br />50
<br />15 '
<br />383.07
<br />3.277. '13.05
<br />400.66
<br />4,50 ;
<br />18
<br />1432.69 873,
<br />3.490
<br />1,20
<br />30
<br />370.78
<br />3.387
<br />13.49
<br />4:65
<br />10
<br />1375.40 .909
<br />3.635
<br />.1,25
<br />16 '
<br />- 359.27
<br />3.496
<br />13.92
<br />. 4.80
<br />20
<br />1322.53 ..945
<br />3.718.
<br />-1,30
<br />30
<br />348.45
<br />3.606
<br />14.35
<br />4.95
<br />30
<br />1273.57 .982'
<br />3.926
<br />1.35
<br />17
<br />338,27
<br />3.716
<br />14.78
<br />'5.10 '
<br />40
<br />1228,11 1,018
<br />4.071.
<br />1;40
<br />19.
<br />319.62
<br />3.935
<br />15.64
<br />5.40, '.
<br />50
<br />1185.78 1.055
<br />4.217
<br />1.45
<br />19
<br />302.94
<br />4.155
<br />16.51
<br />6.70
<br />b -
<br />1146.28 1.091
<br />4.362,
<br />1,50
<br />20
<br />287.94
<br />4.374
<br />17.37
<br />6.00 '
<br />10
<br />1109.33 1.127
<br />4.507
<br />1.55
<br />21
<br />274.37
<br />.4.594
<br />18,22
<br />6.30
<br />20,
<br />1074.68' 1.164 -
<br />4:653
<br />1,60
<br />22
<br />262.04
<br />4.814
<br />19.08
<br />6.60
<br />30
<br />1042,14 1.200
<br />4.798
<br />1,65
<br />29
<br />250.79
<br />5. MS
<br />19.94
<br />6.90 1
<br />.40
<br />1011.51' 1.237
<br />4.943
<br />1.70.
<br />24
<br />240.49
<br />5.255
<br />20.79
<br />7.20
<br />50
<br />982.64 1.273
<br />5.088
<br />1.75
<br />1526.3
<br />-
<br />10
<br />,
<br />21'.89
<br />6:
<br />MO.3
<br />88.39
<br />90
<br />25.
<br />231.01
<br />'222,27
<br />5.476
<br />21.64
<br />7.50';;
<br />10
<br />955.37 1.309
<br />5.234
<br />1.80
<br />26
<br />204.44
<br />5.697,
<br />22.50
<br />. 7.80
<br />40,
<br />929.57 1.346,
<br />5.379
<br />1.85.
<br />27
<br />214.18.
<br />5.918
<br />23.35
<br />8.10 -.
<br />20
<br />905.13 1.382
<br />5.524
<br />1.90
<br />28
<br />206.68,
<br />6.139
<br />24.19
<br />24.91
<br />30
<br />881.95 1.418
<br />5:669'
<br />1.95
<br />29
<br />199.70`
<br />6.360
<br />25,04
<br />8,70
<br />40
<br />859.92 1.455
<br />5.814
<br />2.00 ,
<br />30.
<br />193.18
<br />6.583
<br />25.88
<br />9.90
<br />NoTx. Chord Deflection=2 times tangent deflection.
<br />TABLE IV.-TANGFNTS AND ExTE11NALS TO A P CURVE.
<br />Central
<br />Tangent
<br />External
<br />Central
<br />Tangent
<br />External
<br />Central
<br />Tangent
<br />External
<br />Angle
<br />Angle
<br />Angle
<br />10
<br />50.00
<br />.22
<br />110
<br />551 70
<br />26-.50
<br />210
<br />1061.9
<br />97.57
<br />10'
<br />_ 58.34
<br />.30
<br />10'
<br />560.11
<br />27.31
<br />10'
<br />1070.6
<br />99.16
<br />20
<br />66.67
<br />.39
<br />20
<br />568.53
<br />28.14
<br />20
<br />1079.2
<br />100.75
<br />30
<br />75.01
<br />.49
<br />30
<br />576.95
<br />28.97
<br />30
<br />.1087.8
<br />102.35
<br />40
<br />83.34
<br />.61-
<br />40
<br />585.36
<br />29.82
<br />40
<br />1096.4
<br />193.97
<br />50
<br />91.68
<br />.73
<br />50
<br />593.79
<br />30.68
<br />50
<br />1105.1
<br />105.60
<br />2
<br />100.01
<br />.87
<br />12
<br />602.21
<br />31.56
<br />22
<br />1113.7
<br />107.24
<br />10
<br />108.35
<br />1.02
<br />10
<br />610.64
<br />32.45
<br />10
<br />1122.4
<br />108.90
<br />20
<br />116:68
<br />1.19
<br />20
<br />619.07
<br />33.35
<br />20
<br />1131.0
<br />110.57
<br />30
<br />125.02
<br />1.36
<br />30
<br />627.50
<br />34.26
<br />30
<br />1139.7
<br />112.25
<br />40
<br />133.36
<br />1.65
<br />40
<br />635.93
<br />35.18
<br />40
<br />1148.4
<br />113.95
<br />50
<br />141.70
<br />1.75
<br />50
<br />644-37
<br />36.12
<br />50
<br />1157.0
<br />115.66
<br />3150.04
<br />1.96
<br />19
<br />652.81'
<br />37.07
<br />23
<br />1165.7
<br />117,38
<br />10
<br />158.38
<br />2.19.
<br />10
<br />661.25
<br />38.03
<br />10
<br />1174.4
<br />119,12
<br />20
<br />166.72
<br />2.43
<br />20
<br />669.70
<br />39.01
<br />20
<br />1183.1
<br />120.87
<br />30
<br />175.06
<br />2.67
<br />30
<br />.
<br />678.15
<br />39.99
<br />30
<br />1191.8
<br />122.63
<br />40
<br />183.40
<br />2.93
<br />40
<br />686.60
<br />40.99
<br />40
<br />1200.5
<br />124.41
<br />50
<br />191.74.
<br />3.21
<br />50' '
<br />695.06
<br />42.00
<br />50
<br />1209.2'
<br />126.20
<br />4
<br />200.08
<br />3,49
<br />14
<br />703.51
<br />43.03
<br />24
<br />1217.9
<br />129.00
<br />10
<br />-208.0
<br />3.79
<br />10
<br />711.97
<br />44.07.
<br />10
<br />1226.6
<br />,129.82
<br />20
<br />216.77
<br />4.10
<br />20
<br />720.44
<br />45.12
<br />20
<br />1235.3
<br />131.65
<br />30
<br />225.12 °
<br />4.42
<br />30
<br />728.90
<br />46.18
<br />• 30
<br />1244.0
<br />133.50
<br />40
<br />233.47
<br />4.76
<br />40.
<br />737.37
<br />47.25
<br />40
<br />1252.8
<br />135.35
<br />50
<br />241.81
<br />5.10,
<br />50
<br />745.85
<br />48.34
<br />50
<br />1261.5
<br />137.23
<br />5
<br />.250.16
<br />5.46
<br />15
<br />754.32
<br />49.44
<br />25
<br />1270.2
<br />139.11.
<br />10--
<br />258.51
<br />.
<br />.5.83
<br />10
<br />762.80
<br />50.55
<br />10
<br />1279.0
<br />141.01
<br />20
<br />266,86
<br />6.21
<br />20
<br />771.29
<br />51.68
<br />20
<br />1287:7
<br />142.93
<br />30
<br />275.21
<br />6.61
<br />130
<br />779.77
<br />52.84
<br />30
<br />1296.5
<br />144.85
<br />40'
<br />283.57
<br />7.01
<br />40
<br />788.26
<br />53.97
<br />40
<br />1305.3
<br />146.79
<br />50
<br />291.92
<br />7.43
<br />50
<br />796.75
<br />55.13
<br />50
<br />1314.0
<br />'148.75
<br />6
<br />300.28
<br />7.86
<br />16
<br />805.25
<br />56,31
<br />26
<br />1322.8
<br />150.71
<br />10
<br />308.64
<br />8.31
<br />10
<br />813.75
<br />57.50
<br />10
<br />1331,6
<br />152.69
<br />20
<br />316.99
<br />8.76
<br />20'
<br />822.25
<br />58.70
<br />20
<br />1340.4
<br />154.69
<br />30
<br />325.35
<br />9.23
<br />30
<br />830.76
<br />59.91
<br />30
<br />1349.2
<br />156.70
<br />40
<br />333.71
<br />9.71
<br />40
<br />839.27
<br />61.14
<br />40
<br />1358.0
<br />158.72
<br />50
<br />342.08
<br />10.20
<br />50
<br />847.78
<br />62.38
<br />50
<br />1366.8
<br />150.76
<br />7
<br />350.44
<br />10.71
<br />17
<br />956.30
<br />63.63
<br />27
<br />1375.6
<br />162.51
<br />10
<br />358.81
<br />11.22
<br />10
<br />864.82
<br />64.9D
<br />10
<br />1384.4
<br />164.86
<br />20
<br />367.17
<br />11.75
<br />20
<br />873.35
<br />66.16
<br />20
<br />1393.2
<br />166.95
<br />30
<br />375.54
<br />12.29
<br />30
<br />881.88
<br />67,47
<br />30
<br />1402.0
<br />169,04
<br />•
<br />40
<br />383.91
<br />12.85
<br />40
<br />890.41
<br />68.77
<br />40
<br />1410.9
<br />171.15
<br />50
<br />392.28
<br />13.41
<br />50
<br />898.95
<br />70.09
<br />50
<br />1419,7
<br />173.27
<br />$
<br />400.66
<br />13.99
<br />18
<br />907.49
<br />71.42
<br />28
<br />142$.6
<br />175.41
<br />10
<br />409.03
<br />14.58
<br />10'
<br />916.033
<br />72.76
<br />10
<br />1437.4
<br />177.55
<br />20
<br />417.41
<br />15.18
<br />20
<br />924.58
<br />74.12
<br />20
<br />1446.3
<br />179.72
<br />30
<br />425.79
<br />15.80
<br />30
<br />933.13
<br />75.49
<br />30
<br />1455.1
<br />181.89
<br />40
<br />434.17
<br />16.43
<br />40
<br />941.69
<br />76,86
<br />40
<br />1464.0
<br />184.08
<br />50
<br />442.55
<br />17.07
<br />50
<br />950.25
<br />78.26
<br />50
<br />1472.9
<br />186.29
<br />9
<br />450.93
<br />17.72
<br />19
<br />958.81
<br />79.67
<br />29
<br />1481.8
<br />188.51
<br />10
<br />459.32
<br />18.38
<br />10
<br />967.38
<br />81.09
<br />10
<br />1490.7
<br />190.74
<br />20
<br />467.71
<br />19.06
<br />20
<br />975.96
<br />82.53
<br />20
<br />1499.6
<br />192.99
<br />30
<br />476.10
<br />19.75
<br />30
<br />984.53
<br />83.97
<br />30
<br />1508.5
<br />195.25
<br />40
<br />484.49
<br />20.45
<br />40
<br />993.12
<br />85.43
<br />40
<br />1517.4
<br />197.53
<br />50
<br />492.88
<br />21.16
<br />50
<br />1001.7
<br />86.90
<br />50
<br />1526.3
<br />199.82
<br />10
<br />501.28
<br />21'.89
<br />20
<br />MO.3
<br />88.39
<br />90
<br />1535.3
<br />202.12
<br />10
<br />509.68
<br />22.62
<br />10
<br />1018.9
<br />89,89
<br />10
<br />1544.2
<br />204.44
<br />20
<br />518.08
<br />23.38
<br />20
<br />1027.5
<br />91.40
<br />20
<br />1553.1
<br />206.77
<br />30
<br />526.48
<br />24.14
<br />30
<br />1036.1
<br />92.92
<br />30
<br />1562.1
<br />209.12
<br />40
<br />534.89
<br />24.91
<br />40
<br />1044.7
<br />94,46
<br />40
<br />1571.0
<br />211.48
<br />50
<br />543.29
<br />25.70
<br />50
<br />1053.3
<br />MAI
<br />50
<br />1580.0
<br />213.86
<br />
|