|
V1 TAW1r I. - Tangents an Externals1o'a-1°'Curve." TABLE I. = Tangents, and -Externals to a P Curve. VII
<br />Cliord=100 ft. _ Chord= 100 ft.=
<br />Int.
<br />Ant.
<br />Tangent
<br />"
<br />External
<br />; Int.
<br />Angle
<br />'
<br />Tange't
<br />Exteinal
<br />Iat. -
<br />An&le
<br />' -
<br />Tangent
<br />External
<br />1061
<br />5250.3
<br />'2041.7-
<br />p�p32°.'
<br />5933.2.
<br />2u18.5
<br />99°'
<br />6708.8
<br />3092.7
<br />10'.
<br />5265.6
<br />' 2052.1
<br />C ;101
<br />5950.5
<br />2531.0
<br />:10'
<br />• 672S.4
<br />3107.7
<br />20
<br />'5281.0
<br />2062.5
<br />; 2U ,
<br />5967:9,
<br />.2543.5
<br />'2b56.D
<br />20
<br />1130
<br />6748.2
<br />'3122.9
<br />30
<br />5290:4
<br />'2073.0
<br />:'',0
<br />b955:3
<br />T=.43 86 1.30 1.74 2.18
<br />2.62 3.00
<br />6768.1
<br />3138.1
<br />40:
<br />5311:9
<br />2OS3. 5
<br />a "40
<br />6002.7
<br />.2568.6
<br />'10 '
<br />` G78S.1
<br />3153.3
<br />50'
<br />:5327.4
<br />,
<br />2094.1
<br />-50
<br />6020.2
<br />2581.3
<br />"50 `
<br />:6805:2
<br />.3168.7
<br />86
<br />5343.0
<br />2104.'7
<br />93:
<br />6037.8
<br />2594.0
<br />.100
<br />6828.3
<br />3184.1
<br />10
<br />5358.6
<br />2115.3
<br />.3 .10
<br />G055.4
<br />2606.8
<br />, 10
<br />6848.5
<br />3199.6
<br />20
<br />5374.2
<br />,2126.0
<br />20
<br />G073.1
<br />2619.7
<br />;20
<br />6868.8
<br />3215.1
<br />30
<br />5389:9
<br />"2136.7
<br />30
<br />6090.8
<br />2632.6
<br />30 '
<br />6889.2'-3230.8
<br />5315.0
<br />--" 40
<br />5405.6
<br />2117-5
<br />- 40
<br />6108-.6
<br />2645.5
<br />c.' 40
<br />6909.6
<br />3246.5
<br />-50
<br />5421.4
<br />21.58.4
<br />'S0
<br />6126.4
<br />2658.8
<br />50
<br />6930.1''3262.3
<br />5368.2
<br />87..;"
<br />5437.2
<br />2169:2
<br />`94
<br />6144.3
<br />2671.6'
<br />101
<br />0950.6
<br />.3278.1
<br />"10
<br />5453.1
<br />2180.2
<br />r [ 10
<br />6162.6
<br />2684.7
<br />= =10
<br />0971,3..3294.1
<br />5422.1
<br />20
<br />5469.0
<br />2191.1'
<br />20 "
<br />61SO.2.
<br />2697.9
<br />-"2p
<br />6992.0
<br />3310.1
<br />30'
<br />5484.9,
<br />2202.2
<br />30 ;
<br />6198.3
<br />2711.2
<br />`"30 -
<br />'7012.7
<br />3326.1
<br />40
<br />5500.9.
<br />2213.2
<br />,;
<br />" 40
<br />13216.4
<br />:2724.5
<br />`.,40•
<br />'7033.6.
<br />3342.3
<br />' 50
<br />5517.0
<br />2224.3
<br />50
<br />6234.6
<br />2737.9
<br />50
<br />7054.5
<br />3358.5
<br />88,
<br />5533.1
<br />2235:5
<br />',06 ..
<br />6252.8
<br />2751 3
<br />;102
<br />7075.5
<br />3374.9
<br />-'10`
<br />5549.2
<br />2246.7
<br />10
<br />6271.1
<br />2764.'8
<br />10'
<br />7096.0.
<br />3391.2
<br />„ 20 -
<br />5565.4
<br />2258.0
<br />20
<br />6280,4
<br />:2778.3 .
<br />20
<br />7117.8
<br />3407.7
<br />'30.
<br />5581.6
<br />2269.3
<br />30
<br />6307,9
<br />'2792.0
<br />30
<br />713U.0
<br />3424.3
<br />407.
<br />5597.8
<br />22SO.6
<br />40
<br />6336,3
<br />'2805.6
<br />" 41:
<br />7160.3
<br />3440.9
<br />50
<br />5014.2
<br />2292.0
<br />50
<br />0344.8
<br />2819.4
<br />; 50
<br />7181.7
<br />3457.6 .
<br />89..
<br />5630.5
<br />2303.5
<br />'.96 -.
<br />6363.4'
<br />2&33.2
<br />163
<br />7203.2
<br />3174.4
<br />'10,
<br />5646.92315.0
<br />4259.7
<br />t ., 10
<br />6382.1:
<br />;2847.0
<br />10:
<br />'7224.7
<br />3491.3
<br />20
<br />5663.4'
<br />;2326.6
<br />20
<br />6400.8'
<br />'2861.0
<br />''20
<br />x''30
<br />7246.3
<br />'7268.0
<br />3508.2
<br />30'
<br />5079:9•
<br />'2338.2
<br />.'30
<br />6419.5
<br />2875.0
<br />C -
<br />17289.8
<br />3525.2
<br />40
<br />5696.4
<br />.8
<br />'40
<br />6438.4
<br />2889.0
<br />40".
<br />3542.4
<br />" '50
<br />:5713.0
<br />.2349
<br />2361.5 ''
<br />1 50
<br />6457.3
<br />12903.1
<br />'50
<br />;7311'.7'
<br />3559.6
<br />50'
<br />8310.8
<br />4364.8
<br />50
<br />9139.3
<br />5057.6
<br />50 '
<br />10093.0
<br />.5876.1
<br />00 A.5729.7
<br />'2373:3
<br />(07'°.
<br />0476:2;
<br />29,17.3'
<br />104 "'
<br />±7333.6
<br />3576.8
<br />1D
<br />5746.3
<br />2385.1
<br />-.'10-:
<br />'6495.2
<br />•2431.6
<br />! ,:'10,
<br />7355,6
<br />3594.2
<br />" 20
<br />,5763.1
<br />2397.0
<br />20
<br />6514.3.
<br />20
<br />7377.8
<br />3611.7
<br />`30
<br />5779.9
<br />::'30
<br />6533.4
<br />,294.5.9
<br />2960.3
<br />30
<br />7399.9
<br />3629.2
<br />;40'
<br />5796.7
<br />,2408.9
<br />2420.9
<br />-40
<br />6552.6
<br />2974.7
<br />40
<br />7422.2
<br />3646.8
<br />-50
<br />'58M.G
<br />2432.9
<br />'50
<br />6671.9
<br />2989.2
<br />50
<br />7444.6
<br />3664.5
<br />9I
<br />5830;5
<br />t
<br />9.8'6591.2
<br />3003.8'
<br />405
<br />7467.0
<br />3682.3
<br />10
<br />5847.5
<br />,2444.0
<br />2457.1
<br />10
<br />6610.6
<br />3018.4
<br />10
<br />7489.6
<br />3700.2
<br />.20
<br />5864.6.
<br />2469.3
<br />! '. 20
<br />6630.1.
<br />3033.1
<br />20 .
<br />7512.2
<br />3718.2
<br />30
<br />2481.5
<br />30
<br />6649.6
<br />.3047.9
<br />30
<br />7534.9
<br />3736.2
<br />40
<br />,5881.7
<br />5898.&
<br />2493.8
<br />40
<br />6669.2
<br />3062.5
<br />40
<br />7557,7
<br />3754.4
<br />50
<br />5916,0
<br />2506.1
<br />50
<br />6688.8
<br />3077.7
<br />50
<br />7580.5
<br />3772.6
<br />Corrections -to be Added (T=Tangent.' E.=External.)
<br />Angle,.
<br />0 101 15° 20° 25°
<br />'30° 35°
<br />1 '40° 45° '50° 55° 60°
<br />65,70°
<br />AJat.'Curve
<br />gle
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />1061
<br />7603.5
<br />T =.33 A6 1.00 1.33 1.68
<br />2.02 2.36
<br />2.70 3.05 3.40 3.77 4.14
<br />4.55 4.89
<br />$So
<br />- E=.128 .259 391 .524 .657
<br />.790 .926
<br />1.06' 1.20 1.34 1.47 1.62
<br />1.76 1.91
<br />3809 4
<br />T=.36 .72 1.09 1.45 1.83
<br />2.20 2.57
<br />2.04 3.32 3.70 4.10 4.50
<br />4.91 5.32
<br />1
<br />9199A
<br />E=.149 .299 .450, .GO3 .756
<br />.910 1.07
<br />1.22 1.38 1.54 1.70 1.87
<br />2.03 2.20
<br />_
<br />20'
<br />T =,3D 99 1.19 11.55 2.00
<br />2.40 2.60
<br />3.20 3.61 4.02 4.49 4.98
<br />5.38 5-
<br />95,
<br />E =.174 ,350 .522 " .706 .985
<br />LD6' 1.25
<br />1.43 1.62 1.80 1.99 2.18
<br />2.36 2.56
<br />8415:1
<br />T=.43 86 1.30 1.74 2.18
<br />2.62 3.00
<br />3.50 3.95 4.40 4:88 5.37
<br />5.85 0.34
<br />lOD°
<br />E =.200 401 .604 .BOD I.OI
<br />1.23 1.43
<br />1.64 1.85 2.06 2.28 2.50
<br />2.73 2.96
<br />105°
<br />T=.46 .94 1.42 190 2.38.
<br />2.67• 3.31
<br />3.84' 4.35 9-84. 5-35 5.67
<br />1.90 2.30 2.04 2.00
<br />6.40 0•
<br />3.1 3•�
<br />7719;7
<br />E=•230 470 .700 AM 1.17
<br />1.42 1.65.
<br />2.14
<br />l.lUO
<br />Angle,.
<br />Tangent
<br />External
<br />-Int.
<br />Angle
<br />-
<br />Tangent
<br />Externafl
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />1061
<br />7603.5
<br />3701.-0
<br />111°
<br />5336.7
<br />4386.1
<br />'116°
<br />9169.4
<br />5082.7
<br />10'
<br />7626-G
<br />3809 4
<br />•, 10'9369.7
<br />100°
<br />B 4107.6
<br />10'-
<br />9199A
<br />5107'.9
<br />20
<br />7649.7-
<br />,
<br />3827.9
<br />_
<br />20'
<br />8385.9'.4429.2
<br />5.85 6.34
<br />20 '
<br />9229;0
<br />5133.3
<br />3U.
<br />76,72-9
<br />3846.5-
<br />30 '
<br />8415:1
<br />4450."1'30
<br />2.50
<br />9259,0
<br />5158.8
<br />40
<br />7696.3'
<br />.3865.2
<br />•• 40
<br />8441'.5
<br />4472.7'
<br />40
<br />"92S9.2
<br />5184.5
<br />50,
<br />7719;7
<br />-3881,0,'
<br />50
<br />8468-0-.4494.6
<br />l.lUO
<br />- 50•
<br />9319.5
<br />5210.3 .
<br />107
<br />7743.2
<br />3902.9.1.113
<br />110°
<br />8494.6
<br />4516,6
<br />11.7
<br />_0349.9
<br />5236.2
<br />10
<br />7766.8
<br />'3921.9
<br />10
<br />8521.3
<br />4538.8
<br />10-x9380:5'
<br />.535
<br />5262.3
<br />20 '
<br />7790.5
<br />3940.9:
<br />> 20.
<br />8548.1
<br />4561,1
<br />20 `
<br />9411.3'
<br />5288.6
<br />30
<br />.7814:3
<br />3960.1
<br />30 :
<br />8575:0
<br />4583,4
<br />3O
<br />_9442.2
<br />5315.0
<br />40
<br />7838.1
<br />,3979.4
<br />140
<br />8602:1
<br />4606,0
<br />40
<br />9473.2
<br />5341.5
<br />50
<br />7862.1
<br />3998.7
<br />50
<br />8629.3
<br />4628:6-
<br />5O
<br />9504.4
<br />5368.2
<br />108
<br />7886.2.'4018.2
<br />5.78
<br />113
<br />8656.6
<br />4651.3
<br />118 -
<br />0535.7
<br />5395.4-
<br />10
<br />7910.4
<br />4037:8
<br />10
<br />8684.0
<br />4674,2
<br />10
<br />9567,2
<br />5422.1
<br />: 20 -
<br />7934.6
<br />4057.4
<br />20
<br />8711.5
<br />4697,2
<br />` 20
<br />9598:9
<br />5440.2
<br />30,
<br />7959.0
<br />4077.2
<br />30
<br />8739,2
<br />4720,3
<br />30
<br />9630.7,
<br />5476.5
<br />407983.5.
<br />.4097.1
<br />40
<br />8767.0
<br />4743.6
<br />40
<br />0602.6.
<br />5504.0
<br />" 50,'
<br />8008.0
<br />.4117.0
<br />50
<br />5794.9
<br />4766.9
<br />60
<br />9604:7
<br />5531.7
<br />109
<br />8032:7
<br />4137.1.
<br />114
<br />SS22.0
<br />4790.4,
<br />119
<br />9727.0'
<br />5559:4
<br />10'
<br />8057.4
<br />4157.3
<br />'•10
<br />8551.0.
<br />4814'.1,
<br />=10
<br />9759.4
<br />5587.4
<br />20
<br />8082.3
<br />•41,77:5
<br />'20
<br />SS79.3
<br />4837.8'
<br />20
<br />9792.0.
<br />5615.5
<br />30'
<br />5107.3-
<br />41,97.9
<br />30
<br />5907-7'
<br />4861.7
<br />30
<br />9824.8•
<br />.
<br />5043.8
<br />40
<br />8132.3
<br />4218.4
<br />40
<br />8036'3'
<br />4885.7
<br />40'
<br />985717
<br />5672.3
<br />50
<br />.8157.5
<br />•4239.0
<br />50
<br />5965.0
<br />4909,9
<br />50"
<br />-9890.8-
<br />5700.9
<br />110
<br />8182.8
<br />4259.7
<br />115
<br />8903.8•
<br />4934.1,
<br />120
<br />9924.6
<br />5729.7
<br />10
<br />8208.2
<br />4280.5
<br />10
<br />0022:7
<br />495S.6
<br />10
<br />9957.5
<br />:5758.6
<br />20
<br />8233.7
<br />4301.4
<br />20
<br />9051:7.
<br />49S3.1
<br />20
<br />9991,.0
<br />•5757.7
<br />30
<br />8259.3
<br />4322.4
<br />.30
<br />9080.9.
<br />5007.8
<br />30 ,10025.0
<br />5S17.0
<br />40
<br />8285.0
<br />4343.6
<br />40
<br />9110.3
<br />6033.6
<br />40
<br />10059x0
<br />5846.5
<br />50'
<br />8310.8
<br />4364.8
<br />50
<br />9139.3
<br />5057.6
<br />50 '
<br />10093.0
<br />.5876.1
<br />Corrections to be Added (T = Tangent. E = External.)
<br />Int-
<br />Angle
<br />Curie 5°
<br />10°'
<br />15° 20°
<br />28°
<br />30°
<br />35° 40°
<br />45° '50°
<br />55°
<br />60°
<br />651 701
<br />100°
<br />T=.43
<br />.36
<br />1.30 1.7-1
<br />2.18
<br />2,62
<br />3.06 3.50
<br />1.05 4.40
<br />4.88
<br />5.37
<br />5.85 6.34
<br />E =.200
<br />.4011
<br />.fiO4 .809
<br />1.01
<br />1.22
<br />1.43 1.84
<br />1.85 2.08
<br />2.23
<br />2.50
<br />2.73 2.96
<br />105°
<br />1
<br />1..93
<br />i
<br />11
<br />=_230
<br />.40
<br />700 933
<br />l.lUO
<br />1.42
<br />1.65 1.90
<br />B. L4 '2.39
<br />2.04
<br />2.90
<br />3.16 3.41
<br />110°
<br />T-.50
<br />1.03
<br />1.55 2.03
<br />2.60
<br />3.14
<br />SAO 4.21
<br />4.7G 5.31
<br />5.88
<br />8.43
<br />7.0] 7.69
<br />E=.260
<br />.535
<br />.808.1.08
<br />1.36
<br />L6.3
<br />1-01 2.19
<br />'.49 2.61
<br />3.05
<br />3.35
<br />3.63 345
<br />115°
<br />T=.54
<br />1.13
<br />11.70 j 2.29.12.66
<br />3.43
<br />4.03 4,53
<br />5.23
<br />J 5.83
<br />6.44
<br />7.07
<br />7.70 8.35
<br />E='.307
<br />.6241
<br />A3911.26
<br />11.57,
<br />1.89
<br />2.21 2.54
<br />2.87
<br />3.20
<br />3.53
<br />3.88
<br />4.23 4.58
<br />120°
<br />T=.61
<br />1.23
<br />1.89 2.52
<br />3.16
<br />3.81
<br />4.44 5.11
<br />5.78
<br />1411
<br />7.11
<br />7.80
<br />8.51 1 9.21
<br />E =.339
<br />.720
<br />1.08 1.45.
<br />1.82
<br />2.20
<br />2'.56 2:95
<br />3.33
<br />3.72
<br />1.,4.10
<br />14.50,
<br />4.91 5.32
<br />
|