|
IV TABLE I. Tangents and Externals to a.I* Curve.
<br />Chord=100 ft.
<br />?Amu L - Tangents and Externals to a, P Curve.
<br />nl,, wl -_ i nn ff-
<br />Angle
<br />- .
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External Int'
<br />Angle
<br />Tan Tangent
<br />g
<br />3580.3
<br />External
<br />1026.6
<br />Int.
<br />Angle
<br />71°
<br />Tangent
<br />4086.9
<br />External
<br />1303.2
<br />Int.
<br />Angle
<br />78°
<br />Tangent
<br />4639.8
<br />External
<br />1643.0
<br />43°
<br />2257.0
<br />428.5
<br />50°
<br />2671.8
<br />592,3
<br />57°
<br />.3110.9
<br />790.1 64°
<br />10'
<br />20
<br />2266:6
<br />2276.2
<br />432.0
<br />435.6
<br />10'
<br />2681.9
<br />.596.6
<br />10'
<br />3121.7
<br />795.2 10,
<br />3591.9
<br />1032.8
<br />10'
<br />4099.5
<br />1315.6
<br />10'
<br />4653.6
<br />1651,7
<br />T=.15
<br />2285.9
<br />439.2
<br />20
<br />30
<br />2692.1
<br />2702.3
<br />600.9
<br />605.3
<br />,20
<br />3132.6
<br />800.4 20
<br />3603.5
<br />1039.0
<br />20
<br />4112.1
<br />1322.9
<br />20
<br />4667.4
<br />1660.5
<br />.30
<br />'
<br />2295.6
<br />442.8
<br />40
<br />2712.5
<br />609.6
<br />.30
<br />40
<br />3143.4
<br />3154.2
<br />805.6 30
<br />3615.1
<br />1045.2
<br />30
<br />4124.8
<br />1330.3
<br />30
<br />4681.3
<br />1669.2
<br />,40
<br />50
<br />°2305.2
<br />446.4
<br />50
<br />2722.7
<br />614,050
<br />3165.1
<br />810,9 40
<br />816.1
<br />3626.8
<br />1051.4
<br />40
<br />4137.4
<br />1337.7
<br />40
<br />4695.2
<br />1678.1
<br />.384
<br />.425
<br />.467T=,19
<br />°E=.046
<br />.38
<br />.57
<br />50
<br />3638.5
<br />1057.7
<br />50
<br />4150.1
<br />1345.1
<br />50
<br />4709.2
<br />1686.9
<br />44.
<br />10
<br />2314.9
<br />2324.6
<br />450.0
<br />51
<br />-
<br />2732.9
<br />618.4
<br />58
<br />3176.0
<br />821.4 68
<br />3650.2
<br />1063.9
<br />72
<br />4162.8
<br />1352.6
<br />79
<br />4723.2
<br />1695.8
<br />.42
<br />2334.3
<br />453.6
<br />457.3
<br />10
<br />20
<br />2743.1
<br />2753.4
<br />622:8
<br />627.2
<br />10
<br />20
<br />3186,9
<br />826,7 10
<br />3661.9
<br />1070.2
<br />10
<br />4175.6
<br />1360.1
<br />10
<br />4737.2
<br />1704.7
<br />.20
<br />30
<br />2344.1
<br />461.0
<br />30
<br />2763.7
<br />631.7
<br />30
<br />3197.8
<br />3208.8
<br />832.0 20
<br />837,3
<br />3673.7
<br />1076.6
<br />20
<br />4183.5
<br />1367.6
<br />20
<br />4751.2
<br />1713.7
<br />40
<br />2353.8
<br />464.6
<br />40
<br />2773.9
<br />636.2
<br />40
<br />3219.7
<br />30
<br />842.7
<br />3685.4
<br />1082,9
<br />30
<br />4201.2
<br />1375.2
<br />30
<br />4765.3
<br />1722.7
<br />50
<br />2363.5
<br />468.4
<br />50
<br />2784.2
<br />640,7
<br />50
<br />3230.7
<br />40
<br />848.1
<br />3697.2
<br />1089,3
<br />40
<br />4214.0
<br />1382.8
<br />40
<br />4779.4
<br />1731.7
<br />50
<br />3709.0
<br />1095,7
<br />50•
<br />4226.8
<br />1390.4
<br />50
<br />4793.6
<br />1740.8
<br />45
<br />2373.3
<br />472.1
<br />52
<br />2794.5
<br />645.2
<br />59
<br />3241.7
<br />853.5 ,66
<br />3720.9
<br />1102,2
<br />73
<br />4239.7
<br />1398.0
<br />80
<br />4807.7
<br />1749.9
<br />10
<br />2383.1
<br />475.8
<br />10
<br />2804.9
<br />649:7
<br />10
<br />3252.7
<br />858.9. 10
<br />3732.7
<br />1108,6
<br />10
<br />4252.6
<br />1405.7
<br />10
<br />4822.0
<br />1759.0
<br />20
<br />2392.8
<br />479.6
<br />20
<br />2815.2
<br />654,3
<br />20
<br />3263,7
<br />864.3 •20
<br />3744.6
<br />1115.1
<br />20
<br />4265.6
<br />1413.5
<br />20
<br />4836.2
<br />1768.2
<br />30
<br />40
<br />2402.6
<br />2412.4
<br />483.4
<br />487.2
<br />'30
<br />40
<br />2825.6
<br />2835.9
<br />658.8
<br />663.4
<br />30
<br />40
<br />3274.8
<br />•3285.8
<br />869.8 30
<br />875.3 ',
<br />3756.5
<br />1121.7
<br />30
<br />4278.5
<br />1421.2
<br />30-
<br />4850.5
<br />1777.4
<br />50
<br />2422.3
<br />491.0
<br />50
<br />2846.3
<br />668.0
<br />50
<br />3296.9
<br />880.8 40
<br />3768.5
<br />1128.2
<br />40-
<br />4291.5
<br />1429.0
<br />40-
<br />4864.8
<br />1786.7
<br />50
<br />3780.4
<br />1134.8
<br />50
<br />4304.6
<br />1436.8
<br />50
<br />4879.2
<br />1796.0
<br />&6
<br />10
<br />2432.1
<br />2441.9
<br />494.8
<br />498.7
<br />53
<br />10
<br />2856.7
<br />2867.1
<br />672,7
<br />677.3
<br />60 -
<br />10
<br />3308.0
<br />3319.1
<br />886.4 67
<br />892.0
<br />3792.4
<br />1141.4
<br />74
<br />4317:6
<br />1444.6
<br />81
<br />4893.6
<br />'4908.0
<br />1805.3
<br />'20
<br />2451.8
<br />502.5
<br />20
<br />2877.5
<br />682.0
<br />20
<br />3330.3
<br />0
<br />897.5 20
<br />3804.4
<br />1148.0
<br />-10
<br />4330.7
<br />1452.5
<br />10-
<br />1814.7
<br />30
<br />2461.7
<br />506.4
<br />30
<br />2888.0
<br />686.7
<br />30
<br />3341.4
<br />903.2
<br />.3816.4
<br />1154.7
<br />1161.3
<br />20
<br />4343.8
<br />1460.4
<br />20
<br />4922.5
<br />1824.1.
<br />1833.6
<br />40
<br />2471.5
<br />510.3
<br />40
<br />2898,4
<br />691.4
<br />40
<br />3352.6-
<br />908.8 30
<br />3828.4
<br />30
<br />4356.9
<br />1468.4
<br />30:
<br />4937.0
<br />60
<br />2481.4
<br />514.3
<br />50
<br />2908.9
<br />696.1
<br />50
<br />3363.8
<br />914.5 40
<br />3840.5
<br />1168.1
<br />40
<br />4370.1
<br />1476.4
<br />40
<br />4951.5
<br />1843.1
<br />50
<br />3852.6
<br />1174.8
<br />50
<br />4383.3
<br />1484.4
<br />u 50
<br />4966.1
<br />1852,6
<br />.6.7
<br />2491.3
<br />518.2
<br />54
<br />2919.4
<br />700.9
<br />61
<br />3375.0
<br />920.21 68
<br />3864.7
<br />1181,6
<br />75
<br />4396.5
<br />1492.4
<br />82'
<br />4980:7
<br />1862.2
<br />10
<br />2501.2
<br />522.2
<br />10
<br />2929.9
<br />705.7
<br />10
<br />3386.3
<br />925.9, 10
<br />3876.8
<br />1188.4
<br />10
<br />4409.8
<br />1500.5
<br />10
<br />4995.4
<br />1871.8
<br />20
<br />2511.2
<br />526.1
<br />20
<br />2940.4
<br />710.5
<br />20
<br />3307.5
<br />931.6 20
<br />3889.0
<br />1195:2
<br />20
<br />4423.1
<br />1508.6
<br />20;
<br />5010.0
<br />1881.5
<br />30
<br />2521.1
<br />530,1
<br />30
<br />2951:0
<br />715.3
<br />30,
<br />3408.8
<br />937.31 30
<br />3901.2
<br />1202,0
<br />30
<br />4436.4
<br />1516.7
<br />30-
<br />5024.8
<br />1891.2
<br />40
<br />60
<br />2531.1
<br />2541.0
<br />534.2
<br />533.2
<br />40
<br />50
<br />2961.5
<br />2972.1
<br />720.1
<br />725.0
<br />40
<br />50
<br />3420.1
<br />3431.4
<br />943,1' 40
<br />948.91,50
<br />3913.4
<br />1208.9
<br />.40
<br />4449.7
<br />1524.9
<br />40
<br />5039.5
<br />1900.9
<br />3925.6
<br />1215.8
<br />50
<br />4463.1
<br />1533.1
<br />50'
<br />5054.3
<br />1910.7
<br />48
<br />2551.0
<br />542.2
<br />55-
<br />2982.7
<br />729.9
<br />62
<br />'10
<br />3442.7
<br />954.81
<br />3937.9
<br />1222.7
<br />76
<br />4476.5
<br />1541.4
<br />83
<br />50169.2
<br />1920.5
<br />10
<br />20
<br />2561.0
<br />2571,0
<br />546x3
<br />550,4
<br />10
<br />20
<br />2993.3
<br />3003.9
<br />734.8
<br />739.7
<br />20
<br />3454.1
<br />3465.4
<br />960.6;
<br />966.5 10
<br />3950.2
<br />1229.7
<br />10
<br />4489.9
<br />1549.7
<br />10
<br />5084.0
<br />1930.4
<br />30
<br />2581.0
<br />554.5
<br />-'30
<br />3014'.5
<br />744.6
<br />30
<br />3476.8
<br />972.4 20
<br />3962.5
<br />1236.7
<br />20
<br />4503.4
<br />1558.0
<br />20
<br />5099:0
<br />1940.3
<br />40
<br />2591.0
<br />558.6
<br />40
<br />3025.2
<br />749.6
<br />40
<br />3488.3
<br />978.31 30
<br />3974.8
<br />1243.7
<br />-30
<br />4516.9
<br />1566.3
<br />30
<br />5113.9
<br />1950.3
<br />50
<br />2601.1
<br />562.8
<br />50
<br />3035.8
<br />754.6
<br />50
<br />3499.7
<br />984.3 40
<br />3987.2
<br />1250.8
<br />40
<br />4530.4
<br />1574.7
<br />40
<br />5128.9
<br />1960.2
<br />50
<br />3999.5
<br />1257,9
<br />50
<br />4544,0
<br />1583.1
<br />50
<br />5143.9
<br />1970.3
<br />49
<br />2611.2
<br />566.9
<br />56
<br />3046.5
<br />759.6
<br />1 63
<br />3511.1
<br />900.21 40
<br />10
<br />2621.2
<br />571,1
<br />lb
<br />3057.2
<br />764.6
<br />10
<br />3522.6
<br />996.2
<br />4011.9
<br />1265.0
<br />77
<br />4557.6
<br />1591.6
<br />84
<br />5159.0
<br />1980.4
<br />20
<br />2631.3
<br />575.3
<br />20
<br />3067.9
<br />769.7
<br />20
<br />3534.1
<br />1002.3 10
<br />4024.4
<br />1272.1
<br />10
<br />4571.2
<br />1600.1
<br />10
<br />5174.1
<br />1990.8
<br />30
<br />2641.4
<br />579.5
<br />30
<br />3078.7
<br />774.7
<br />30
<br />3545.6
<br />1008.3 20
<br />4036,8
<br />1279.3
<br />20
<br />4584.8
<br />1608.6
<br />20
<br />5189.3
<br />2000.6
<br />40
<br />2651.5
<br />583,8
<br />40
<br />3089.4
<br />779.8
<br />40
<br />3557.2
<br />1014.4 30
<br />4049.3
<br />1286.5
<br />30
<br />4598.5
<br />1617.1
<br />30
<br />5204.4
<br />2010.8
<br />50
<br />2661.6
<br />588,0
<br />50
<br />3100.2
<br />784.9
<br />50'
<br />3568.7
<br />1020.5 40
<br />4061.8
<br />1293.6
<br />40
<br />4612.2
<br />1625.7
<br />40
<br />5219.7
<br />2021.1
<br />b0
<br />4074.4
<br />1300.9
<br />50
<br />4626.0
<br />1634.4
<br />50
<br />5234.9
<br />2031.4
<br />Corrections to be Added, (T,= Tangent. -E =External.)
<br />Int
<br />Angle
<br />I®5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />;30°
<br />-35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65° 7f
<br />40°
<br />M
<br />.100
<br />20
<br />1
<br />1265 .34
<br />1.277
<br />1.20F
<br />1.79 i4
<br />E=.023
<br />.048
<br />.C70
<br />.OJ3
<br />:117
<br />.gl]
<br />:172
<br />:203
<br />234
<br />45°
<br />T=.15
<br />.30
<br />:44
<br />.60
<br />.76
<br />.91
<br />1.06
<br />1.21
<br />1.37
<br />1.52
<br />1:70'
<br />187
<br />2.1
<br />E=.030
<br />.060
<br />.093
<br />•.119
<br />.153
<br />.184
<br />.216
<br />.254
<br />.289
<br />.325
<br />'.351
<br />.378
<br />50'
<br />T=.17
<br />34
<br />.51
<br />.68
<br />.85
<br />1:02
<br />1.19
<br />1.36
<br />1.54
<br />1.72
<br />1.91
<br />2.10-2.'.
<br />E=.037
<br />.075
<br />.116
<br />.151
<br />.189
<br />.227
<br />.266
<br />.305
<br />.345
<br />.384
<br />.425
<br />.467T=,19
<br />°E=.046
<br />.38
<br />.57
<br />.76
<br />.95
<br />1.141.32
<br />1.52
<br />1.721.92
<br />'.420
<br />2,t4
<br />2.35
<br />.093
<br />.142
<br />•188
<br />.236
<br />.283
<br />.332
<br />3.81
<br />.479
<br />.530
<br />.582
<br />.
<br />60° P
<br />T=,21
<br />.42
<br />.63
<br />.84
<br />1.05
<br />1.27
<br />1.49
<br />1.71
<br />1.9412.!7
<br />2.38
<br />2.60
<br />2.83 3.1
<br />E=.056
<br />.112
<br />.168
<br />.225
<br />.283
<br />.340
<br />.398
<br />.457
<br />.516
<br />.575
<br />•.636
<br />.697
<br />.774 •f
<br />T:.2346
<br />.69
<br />93
<br />1.16
<br />1.40
<br />1.64
<br />1.88
<br />2.13
<br />2.38
<br />2.63
<br />2.88
<br />3.13 3^
<br />E.067
<br />.135
<br />.204
<br />.273
<br />.343
<br />.412
<br />.483 .554,
<br />`825
<br />:897
<br />.711
<br />.945
<br />.922 1.1
<br />Corrections to be Added (T = Tangent. E = External.)
<br />4 Angle Cme 5° 10° 15° 20° 25° 30° 35° 40° 45° 50°. x55°. 60° 65°, 70°
<br />41 80o T_.21 .42 .63 .84 1.05 1.27 1.49 1.71 1.94 2.17 2.38 2.60 2.83 3.07
<br />1 -E7.056 --.112 .168 .225 .283 .340 :398 .457 .516 .575 •.636 -.697 .774 ,851
<br />0 650 T=,23. • '.45 ..69 .93 1.16 1.40 1.64 1.88 2.13 2.38 2.63 2.88 3.13 3.39
<br />q E =.067 .135 .204 .273 .343 .412 .483 .554 .625 .697 .711 .845 .922 1.01
<br />60 70° T=.25 .51 176 1.02 1.28 1.54 1.80 2.06 2.33 2.60 2.88 3.16 3.44 ,72
<br />- E =.080 .159'.240 .321 •.403 .485 .568 .652 .735 .819 .906 .994 1.08 1.17
<br />9 75o T=.27 56 .83 1.12 1.40 1.69 1.98 2.27 2.57 2.87 3.16 3.47 3.78 4.09
<br />t E=.095 ..182 .286 .383 .480 .578 .678 .777 .877 .977 1.07 1.18 11.29 11.39
<br />it 80o T=.30 61 .91 1.22 1'.53 1.84 2.15 2.46 2.78 3.10 3.44 3.78 4.12 4.40
<br />E=.110 .220 .332 .445 .558 .671 .787 .903 1.02 1:13 1.25 1.38 1.50 1.62
<br />85o T=,33 .66 1.00 1.33 1.68 2.02 2.36 2.70 3.05 3.40 3.77 4.14 4.bb 4.89
<br />E=.128 259 391 .524 .657 .790 .926 1.06 1.20 1.34 1.47 1.62 1.76, 1.91.
<br />o_:
<br />
|