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TABLE V. -RADII, ORDINATES AND DEFLECTIONS
<br />TABLE II---Contiunued
<br />-
<br />TABi-E TV
<br />TRIGONOMETRIC FORMULAE (continued)
<br />-
<br />In any triangle:
<br />Mid.
<br />INc11Ee IN D1mcIMALs QF A FooT
<br />Given a, b, C; to find c, B, A..
<br />Deg.
<br />92 I
<br />Use Lase of Tangents. '
<br />Offset
<br />i a
<br />58
<br />Given A, B, e; to find a, b, C.
<br />'
<br />:03 13,
<br />Use Law of Sines.
<br />052i,
<br />r
<br />.OS'l5 y'.0729
<br />Given a, b, c; to find A, B,•C.
<br />.0478
<br />.0104
<br />a+b$c a) (a - b)^ (s - c)' = P
<br />r
<br />,02e01
<br />Let -s
<br />2' 6
<br />$'
<br />I Foot
<br />1863
<br />.0833
<br />I .1667
<br />cos HA .-.
<br />.3333 :4187 .5000 .5843 .0887
<br />.7500
<br />be
<br />VVV
<br />i
<br />6.105
<br />r
<br />20
<br />17188.8
<br />tan Y2A
<br />.291
<br />0-10
<br />20'
<br />781.94
<br />1.600
<br />r
<br />tan HB
<br />2.20
<br />30
<br />11459.2
<br />.109
<br />.436
<br />P #
<br />tan %C .,
<br />30
<br />764.49
<br />6-O ,
<br />6.540
<br />2.25
<br />Area of a mangle:
<br />8594.42
<br />.,145
<br />Area = Y2 ab Sin C
<br />0.20
<br />40
<br />Area = • a(e - A) (s - b) (8 - c)
<br />1.873
<br />6.685
<br />PRISMOIDAL FORMULA
<br />50
<br />0875.55
<br />.182
<br />,727
<br />0.25
<br />Val. = 6 (B+b+4M)
<br />h = altitude; b B = bases; M =midsection
<br />TABLE III
<br />8
<br />716.78
<br />M1Nt1'PES IN DmatALs bp A -DE GREE
<br />6.976
<br />1'
<br />A167 11' .1833 21' .3500" 81' .6167 41' .6833
<br />118 88 :5335'° 48 .70�
<br />8t' 8600
<br />69. 5887
<br />2
<br />8
<br />.0333 18 .2000 .3867
<br />18 .2167 23 .3833 '8$ .5500 48 .7187
<br />dd 7333
<br />118 SS33
<br />84 •9000
<br />4
<br />.0500
<br />.0887 14 .2333 '24 .4000 84 .5867
<br />OM 15 .23W 86 .4107 86 .5833 '4$ 7600
<br />46 7887
<br />$$ :9107
<br />66 .9838
<br />4
<br />7
<br />1000. is 2867 18 .4333 86 ..6000
<br />17 .4600 87 '.6167 47 .7533
<br />,67 9500
<br />0
<br />.1187 .2833 .27
<br />.1333 18 .3000- 86 .4867 B8 .6333 48, •8000
<br />89 89 .6504 49' .8167'
<br />09 .9607
<br />69 .9833
<br />Igo.1500
<br />10
<br />.19 .3167 .4533
<br />.1667 20 .3333 $0 .50(0 .40 .6667 - $0• .5333
<br />60 1.0000
<br />TABLE V. -RADII, ORDINATES AND DEFLECTIONS
<br />-
<br />TABi-E TV
<br />Tan.
<br />-
<br />Mid.
<br />INc11Ee IN D1mcIMALs QF A FooT
<br />Def,
<br />Deg.
<br />92 I
<br />I
<br />Offset
<br />i a
<br />58
<br />8
<br />I
<br />'
<br />:03 13,
<br />.0417
<br />052i,
<br />r
<br />.OS'l5 y'.0729
<br />.Dp
<br />.0478
<br />.0104
<br />I .0
<br />.Q
<br />,02e01
<br />I Foot
<br />0' 10'
<br />.0833
<br />I .1667
<br />.2500
<br />.3333 :4187 .5000 .5843 .0887
<br />.7500
<br />It
<br />.8333 .9187
<br />TABLE V. -RADII, ORDINATES AND DEFLECTIONS
<br />Mid.
<br />Tan.
<br />Def,
<br />Mid.
<br />Tan.
<br />Def,
<br />Deg.
<br />Radius
<br />Ord.
<br />Offset
<br />for
<br />Deg.
<br />Radius
<br />Ord.
<br />Offset
<br />for
<br />I Foot
<br />I Foot
<br />0' 10'
<br />34377.5
<br />.036
<br />.145
<br />0.05'
<br />7'
<br />819.02
<br />1.528
<br />6.105
<br />2.10'
<br />20
<br />17188.8
<br />.073
<br />.291
<br />0-10
<br />20'
<br />781.94
<br />1.600
<br />9.395
<br />2.20
<br />30
<br />11459.2
<br />.109
<br />.436
<br />0.I5
<br />30
<br />764.49
<br />1.637
<br />6.540
<br />2.25
<br />40
<br />8594.42
<br />.,145
<br />'.582
<br />0.20
<br />40
<br />747.89
<br />1.873
<br />6.685
<br />2.30
<br />50
<br />0875.55
<br />.182
<br />,727
<br />0.25
<br />8
<br />716.78
<br />1.746
<br />6.976
<br />2.40
<br />1
<br />5729.65
<br />.218
<br />.873
<br />0.30
<br />20
<br />688.16
<br />1.819
<br />7,266
<br />2.50
<br />10
<br />4911.15
<br />.255
<br />1,018
<br />0.35
<br />30
<br />674,69
<br />1.855
<br />7.411
<br />2.55
<br />20
<br />4297.28
<br />.291
<br />1.164
<br />0.40
<br />40
<br />661.74
<br />1,892
<br />7.556
<br />2.60
<br />30
<br />3819.83
<br />,327
<br />1.309
<br />0.45
<br />40
<br />3437.S7
<br />.364
<br />1,454
<br />0.50
<br />9
<br />637.28
<br />1.965
<br />7.846
<br />2.70
<br />50
<br />3125.36
<br />.400
<br />1.600
<br />0.55
<br />20
<br />614.56
<br />2.037
<br />8.136
<br />2.80
<br />30
<br />603.80
<br />2.074
<br />8.281
<br />2.85
<br />2
<br />•2864.93
<br />.436
<br />1.745
<br />0.80
<br />40
<br />593.42
<br />2.110
<br />8.426
<br />2.90
<br />10
<br />2644.58
<br />.473
<br />.1.891
<br />0.65
<br />20
<br />2466.70
<br />.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
<br />.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
<br />.582
<br />2:327
<br />0.80
<br />it
<br />521.67
<br />2.402
<br />9.585
<br />3.30
<br />50
<br />2022.41
<br />.618
<br />2.472
<br />0.85
<br />30
<br />499.06
<br />2.611
<br />10.02
<br />3.45
<br />18
<br />478.34
<br />2.620
<br />10.45
<br />3.60
<br />8
<br />1910.08
<br />'.655
<br />2.615
<br />0.90
<br />30
<br />459.28
<br />2,730
<br />10.89
<br />3.75
<br />10
<br />IF09.57
<br />.691
<br />2.763
<br />0.95
<br />18
<br />441.68
<br />2.830
<br />11.32
<br />3.90
<br />20
<br />1719.12
<br />.727
<br />2.908
<br />1.00
<br />30
<br />425.40
<br />2.949
<br />11.76
<br />4.05
<br />30
<br />1637.28
<br />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.S8
<br />.800
<br />3.199
<br />1.10
<br />30
<br />396.20
<br />3.168
<br />12.62
<br />4,05
<br />50
<br />1494.95
<br />.836
<br />3.345
<br />1.15
<br />16
<br />383.07
<br />3.277
<br />13.05
<br />4.50
<br />4
<br />1432.69
<br />.873
<br />3.490
<br />1.20
<br />30
<br />370.78
<br />3.367
<br />13.49
<br />4.65
<br />10
<br />1375.40
<br />.909
<br />3.635
<br />1.25
<br />13
<br />359.27
<br />3.496
<br />13.92
<br />4.80
<br />20
<br />1322.63
<br />.945
<br />3.715
<br />1.30
<br />30
<br />348.45
<br />3.806
<br />14.35
<br />4.45
<br />30
<br />1273.57
<br />.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
<br />1.018
<br />4.071
<br />I.40
<br />is
<br />319.62
<br />3.935
<br />15.64
<br />5.40
<br />50
<br />1185.78
<br />I.055
<br />4,217
<br />1.45
<br />19
<br />302.94
<br />4.155
<br />16.51-
<br />.5.70
<br />5 -
<br />1146.28
<br />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
<br />1.127
<br />A.507
<br />1.55
<br />11
<br />274.37
<br />4.594
<br />18.22,
<br />6.30
<br />20
<br />1074.68
<br />1.164
<br />4.653
<br />1.80
<br />22
<br />262.04
<br />4,814
<br />19..08
<br />6.60
<br />30.
<br />1042-14
<br />1.200
<br />4,798
<br />1.65
<br />28,
<br />250.79
<br />5.035
<br />19.94
<br />6.90
<br />90
<br />1011.51
<br />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
<br />1.273
<br />5.088'
<br />1.75
<br />18
<br />231.01
<br />6.476
<br />21.64
<br />7.50
<br />6
<br />955.37
<br />1.309
<br />5.234
<br />1.80
<br />29'
<br />222.27
<br />5.607
<br />22.50
<br />7.80
<br />10
<br />929.67
<br />1.346
<br />5.379
<br />1.86
<br />37
<br />214.18'
<br />5.918
<br />23-35
<br />8.L0
<br />20
<br />905.13
<br />1.382
<br />5.524
<br />1.90
<br />98.
<br />206.68
<br />6..139
<br />24.19
<br />8.40
<br />30
<br />881.95
<br />0.418
<br />5.669
<br />1.95
<br />99
<br />199.70
<br />6.360
<br />25.04
<br />8.70
<br />40
<br />869.92
<br />1.455
<br />5.814
<br />2.00
<br />80
<br />193.18
<br />6.583
<br />25.88
<br />9.00
<br />Note. Chord Deflection =2 times tangent deflections,
<br />_:ts�YiJ
<br />
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