|
'YI TABLE E ==Tangent's and Externals to'a-1° Cifrve. TABLE I. - Tangents and Externals to a_ 1' Curve. V
<br />Chord 100,,ft. Chord =100 ft,' '
<br />Angle
<br />Tangent,
<br />External
<br />Int.
<br />Angle
<br />I Tangent
<br />External
<br />Int.
<br />" Angle
<br />I Tangent
<br />External
<br />86°
<br />5250.3.
<br />2041-7
<br />D2°
<br />5933:2
<br />2518.5
<br />99°
<br />6708.6
<br />3092.7
<br />30'
<br />5265.6
<br />'2052-1
<br />40!
<br />'5950.5
<br />2531.0
<br />10' '
<br />95° T =.39 ' ^9 1.19 1.55 2.00 2.40
<br />3107.7
<br />'-20
<br />''5281':0.
<br />2062.5
<br />. 20
<br />5807.9
<br />2543.5
<br />26
<br />.6728:4
<br />',6748.2
<br />3122.9
<br />s :30
<br />15296:4
<br />2073.0
<br />•;-30
<br />5985.'3
<br />2556.0
<br />30.
<br />'6768,1
<br />3138.1
<br />40
<br />5311.9
<br />2083.5
<br />X10
<br />6002.7
<br />2568.6
<br />40
<br />6788.1
<br />3153.3
<br />50
<br />''5327:4
<br />2094,1-
<br />S0.
<br />6020.12
<br />2681, 3
<br />50
<br />' 6805'.;2
<br />3 168. 7
<br />'BG,"'
<br />•5343.0'
<br />2104.7
<br />'93
<br />6U3T.5
<br />2594`'.'0
<br />100: 'i
<br />6828.3
<br />3184.1
<br />10
<br />15358.6
<br />2115.3
<br />'10-
<br />'6055.4
<br />2606.8
<br />'10
<br />'•6848.5
<br />3199.6
<br />'20
<br />5374.2
<br />2126.0
<br />20
<br />8073.1
<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 />9142.2•.5315-0
<br />3230.&
<br />4fl5405..6
<br />7935.1.
<br />2147.'5
<br />=• 40-
<br />8108.6
<br />2645.5
<br />40
<br />,6839.2
<br />6909.6
<br />3246.5
<br />50
<br />'5421•.4
<br />2158.4
<br />'50•
<br />6128:4
<br />2658.5
<br />50
<br />i
<br />6930.1
<br />3262.3
<br />'.87 - -
<br />5437-.2
<br />2169.2
<br />94. ',
<br />6144:§
<br />2671:6
<br />101•'•''' 7
<br />'0950.G
<br />327&.1
<br />10'
<br />°5453:1
<br />2180.2
<br />10•
<br />6162.6.
<br />2684.7'
<br />•10,
<br />6971.3
<br />3294.l�
<br />20
<br />5469.0
<br />2191.1
<br />,20
<br />6180.2
<br />2697.9
<br />20
<br />6912.0
<br />3310.1
<br />'30
<br />5484.9
<br />2202.2
<br />'30='
<br />`6198:3
<br />2711.2
<br />30':'7012.7''
<br />9G30:.7'
<br />3326.1
<br />40
<br />5500,9
<br />2213.2
<br />;."a0'
<br />6216.4
<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 />3355.5
<br />88-- •'
<br />'5533.'1
<br />223x.5"
<br />95:. -
<br />6252:8
<br />2751.3
<br />102'-•;,
<br />7075.5
<br />3374.9
<br />10
<br />-
<br />5549.2
<br />2246.7
<br />10r
<br />6271.1
<br />2764.8
<br />10
<br />"7096.6;
<br />3391.2
<br />20
<br />'5565.4
<br />22.58.0
<br />'.'20
<br />6289:4
<br />2778.3
<br />_
<br />20
<br />711:7.5
<br />3407.7
<br />=130
<br />5581.6
<br />2269.3,
<br />•.'30-
<br />6307:9
<br />2792.0
<br />30
<br />-7139..0•
<br />^424.3
<br />40
<br />5597:8
<br />2280.6
<br />40'
<br />6326,3
<br />2805.6
<br />4Q
<br />'7160.31
<br />3440.9
<br />50
<br />5614.2
<br />2292.0'
<br />i 501
<br />6344.8
<br />2819.4
<br />'? 'S0'
<br />7181.7`.
<br />3457.G
<br />'80 "
<br />5030.5
<br />2303.5
<br />95.
<br />6363.4
<br />2833.2
<br />103
<br />7203.2;
<br />3474,4
<br />• - 10
<br />, :5346.9
<br />2315.0
<br />' '10 `
<br />'
<br />6382.1
<br />2847.0
<br />- ".10
<br />' 7224.7
<br />3401.3
<br />20
<br />'$603.4
<br />2326.6
<br />-2W
<br />6400.8
<br />28Fj1-0
<br />- 20;
<br />'7240x3,
<br />950S.2
<br />30
<br />5079.0
<br />2338.2
<br />_'
<br />30'
<br />6419.5
<br />2875.0
<br />30
<br />7268.0
<br />3525,2
<br />' 40
<br />5695.4
<br />2349.8
<br />40
<br />.6438:4
<br />2889.0
<br />'40;,
<br />7280.8;
<br />8542.4
<br />1,50
<br />5713"0
<br />2361.5
<br />59'
<br />6457.3
<br />2903.1
<br />-' 50l
<br />7311.7,
<br />8559.6
<br />00 - '
<br />5729.7
<br />2373.3
<br />97 -w
<br />6478:2
<br />2917.3
<br />101
<br />7333.6'
<br />3576.8
<br />' 10
<br />5746.3
<br />2385.1
<br />10
<br />6495.2
<br />2931.6
<br />10
<br />7355.6
<br />:3594.2
<br />26 '
<br />'5763.1
<br />2397.0
<br />20
<br />6514.3
<br />2945.9',
<br />20;.
<br />7377.8 j
<br />3011. 7
<br />30
<br />5779.9
<br />2408.9
<br />30
<br />6533'.4
<br />29150.3
<br />30
<br />7399:9
<br />3629.2
<br />40
<br />'5796.7'
<br />2420.9
<br />40
<br />6552.6
<br />2974.7
<br />40
<br />7422.2'
<br />3646.8
<br />•50
<br />5813.6
<br />2432.9
<br />50'
<br />6571:9
<br />2989.2
<br />50 '
<br />7444.6
<br />3664.5
<br />01'
<br />5830.5
<br />2444.9
<br />98 '
<br />6591.2
<br />3003.8
<br />105
<br />7467.0,
<br />3682.3
<br />10
<br />5847.5
<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 />2
<br />7612,'
<br />3798.2
<br />30
<br />5881.7
<br />2481.5
<br />30
<br />6049-6
<br />3047.9
<br />30
<br />7534,9
<br />3736.2
<br />40
<br />5898.8
<br />2493.8
<br />40
<br />6669.2
<br />3062.8
<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 />7530.5
<br />3772.6
<br />Corrections to be lid"ded (T =Tangent. E. =External.)
<br />Angle . Qun a S°- 10°, 15°. 20° 25° 1 30°
<br />35°
<br />40°
<br />45° 50° 55° 60° 6-
<br />70°
<br />T=•33 fib 1.00 L33 1.68 2.02
<br />2.36
<br />2.70
<br />.3.05 3.40 '3.77 4.14 4.55
<br />4.$9
<br />E=128 259 .391' .524 .657 .790
<br />.926
<br />1.05
<br />1.20 1.34 11.47 1.62 1.76
<br />1.91
<br />T=.36' .72 1.09 1.45 1.83 2.20
<br />2.57
<br />2.94
<br />.3.32 3-70 4.10 4.50 4.91
<br />5-32
<br />'Pal,
<br />E=-149 .29D '.450 .503 .756 .910
<br />11.07
<br />1.22
<br />1.38 1..i4 4.70 1.87 2.03
<br />2-20
<br />95° T =.39 ' ^9 1.19 1.55 2.00 2.40
<br />2-80
<br />3,20
<br />3.61 9.02 4.49 4.98 5.33
<br />1'1.99
<br />5.83
<br />E=.174 .350 .522 .700 .981, 1.06
<br />1.2.5
<br />1.43
<br />1.62 1.80 1 .18 2.33
<br />22
<br />lOD° T=.43 ' .86 1-10 1.74 2.18 2.62
<br />3.06'
<br />3.50
<br />3.95 4.40 4.38 5.37 5.85
<br />12.28
<br />6.31
<br />E = 200 •401 .604 .801 1.01 1.23
<br />1.43
<br />1.64
<br />1.85 '2.06 2.50 2.73
<br />2•06
<br />ICS. T=.46 .94 1 L42 1.00 2.38 12.87
<br />13.34
<br />3.84
<br />4.35 4.84 15.35 5.87 6-40
<br />6.0
<br />E =.230 .4701 700 ASS 1.17 L42
<br />I
<br />11.65
<br />1.90
<br />2.14 2.39 12.61 2.90 3-16
<br />3.4L
<br />Int. I
<br />Angle•- f
<br />Tangent
<br />External
<br />Int.
<br />,Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />TangeSt'Faternal
<br />1'�°
<br />106":.
<br />-7603c791.0
<br />'3-95
<br />111°
<br />833G.7
<br />4386.1
<br />,116°
<br />9169-4
<br />5082.7
<br />IW
<br />MEG26.
<br />3809.4
<br />30'
<br />`8362.7
<br />,4407.6
<br />10'
<br />9199.1
<br />•9229-0
<br />5107.0
<br />20.
<br />-7649.7
<br />3527,9
<br />;"20.
<br />8388.9
<br />4429.2
<br />20
<br />4,21
<br />3-19
<br />4.03
<br />5133.3
<br />30
<br />71572.9
<br />3846.5
<br />30,
<br />8415.1
<br />4450.9
<br />30,
<br />9259-0
<br />5158.8
<br />-
<br />• 40
<br />7626.3-
<br />3565.. 2
<br />40
<br />8-141.:5
<br />447'2.7
<br />4.0
<br />9280:2
<br />5184..5
<br />50
<br />.7719.7
<br />3SS4.0,
<br />50'
<br />'8468.0
<br />4404.¢
<br />50
<br />9319.5
<br />5210.3
<br />107'
<br />774312
<br />3902.9
<br />112
<br />8494.6
<br />4516-6
<br />117'
<br />9349.9
<br />523G-2
<br />10
<br />3921.9
<br />10
<br />8521:3
<br />4538-8
<br />10'
<br />9380.5
<br />5262-3
<br />20
<br />_776618
<br />7790.5
<br />3940.9
<br />20
<br />8548.1
<br />4561-1
<br />20
<br />94,11.3
<br />'5288-6
<br />30,
<br />7814,•3
<br />3960.1
<br />.30
<br />8575.0
<br />4533-4
<br />-0.
<br />9142.2•.5315-0
<br />40 '
<br />7935.1.
<br />3979.4
<br />'. 40
<br />8602:1
<br />4600-0
<br />40
<br />9:73.2,
<br />5341-5'
<br />50 ;
<br />:7SG2.I
<br />3998.7
<br />-50
<br />8639.3--'4028.6
<br />,..50` "'9504-4."
<br />5363-2
<br />'103
<br />7886.2
<br />4015.2
<br />113'
<br />8656.6
<br />4651.3
<br />118
<br />.9935.7
<br />-5395.'1.
<br />10
<br />7^910.4
<br />:4037.8
<br />108634.0
<br />4674-2
<br />10
<br />.9567:2.
<br />5122.1.
<br />20
<br />7934.6
<br />4057.4
<br />20
<br />8711.5
<br />4697.2
<br />20'
<br />9598.9
<br />51,19.2-
<br />307959.0
<br />4077.2,
<br />.30
<br />8739,2
<br />4720.3
<br />30-
<br />9G30:.7'
<br />5476-5
<br />41)
<br />7983.5
<br />4097.1,
<br />40."
<br />8767:0.
<br />4743.6
<br />40-
<br />9062.6
<br />'5504,0
<br />50 .
<br />3008.0•
<br />4117.0
<br />50
<br />'8794.9
<br />,47436.9
<br />•50'-
<br />9694x7
<br />5531.-7
<br />103,
<br />8032.7
<br />4137.1
<br />.114
<br />'SS22:9
<br />4790-4
<br />119-
<br />9727.0
<br />.55i9.4-
<br />10
<br />8057:4,.4157.3
<br />10
<br />SS.i1.0'
<br />4814.1
<br />10
<br />9759.4
<br />5587.4
<br />20 '
<br />8082.3.
<br />4177.5
<br />20 •
<br />857,9.3
<br />4837.8
<br />20
<br />9742.0
<br />5f 15.5
<br />30
<br />8107.3
<br />4197.9
<br />30
<br />5907.7
<br />4851.7
<br />30,
<br />9824-8
<br />5643.8
<br />40 .
<br />8132:3
<br />4218.4'
<br />40
<br />S936.3
<br />-4835.7
<br />40
<br />9657.7
<br />5672-3
<br />50
<br />8157.5
<br />•4239:0
<br />50
<br />S965.0".4909-9
<br />50-
<br />9890,8
<br />5700.0
<br />110"'
<br />8182.8
<br />4209.7
<br />115
<br />8093.5
<br />'4934.1
<br />120 -
<br />9924.0
<br />5729.7
<br />10'
<br />8208:2
<br />4280.5
<br />10
<br />9022.7
<br />4958.6
<br />10
<br />9957.5
<br />5758.6
<br />20
<br />8233:7'
<br />4301,4
<br />20
<br />9051.7
<br />'4983.1
<br />20
<br />9991 0
<br />.5787:7
<br />30
<br />8259.3
<br />30
<br />-0080,9,
<br />'5!107:8
<br />30z
<br />10025.0'
<br />5817.0
<br />40
<br />'8235.0'
<br />.4322-4
<br />4343-6
<br />40
<br />9110.3
<br />5032.6
<br />40
<br />10059.0'
<br />5545'.5,.
<br />50-
<br />8310.8,
<br />48(34:9
<br />50
<br />9139.8
<br />5057,6
<br />50-
<br />10093.0`
<br />5876.1
<br />Corrections to be Added (T Tangent. E=External.)
<br />la"'
<br />4uu;ie
<br />Cu-ve 5° 10° 1s°, 200 25° 90°35° 140°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65° 70°
<br />1'�°
<br />T =.43 .86 1.;0 1.74 2.18 2.62 3.06
<br />.3.50
<br />'3-95
<br />4.40
<br />4 8
<br />5-37
<br />5.85 6.34
<br />E=.200 491 .601 .8091.01 1-22 1.13
<br />1.61
<br />1.85
<br />2.006
<br />2-50
<br />2.73 2.0'.i
<br />=.415 .94 1.42 1.90 _2.38 2:37 ".".1
<br />E=.231 .470. .700 .93811.17 1.42 l.la
<br />3-84
<br />1-90
<br />4.30
<br />2.14
<br />4.54
<br />2.3R
<br />5.35
<br />2.64
<br />x.87
<br />2.90
<br />60 ' 0.93
<br />2:1,1 'i-41
<br />_LT
<br />f!0°
<br />T =-50 1-G3 1,55 2.03 2.60 3:14 3.56
<br />E -.2c0 53u .809 1.03 1.315 1:63 1.91
<br />T=.51 3 L70 210 2 G 3A:i 4.153
<br />4,21
<br />3-19
<br />4.03
<br />4.76
<br />2.49
<br />5.311
<br />2.6i
<br />3'
<br />3.56
<br />3-i6i
<br />6.4
<br />6.43
<br />I ?-3:)
<br />7.07
<br />7.01 7.81
<br />3.6i 13.95
<br />7-7U 8.35
<br />!15°
<br />0=,307 .6241 .05911.26 11.57 i,E9 ^'�f
<br />i 2_541
<br />5.2:'5.
<br />2.
<br />3.20
<br />353
<br />3. 88,
<br />4.:31 4.53
<br />12,1°
<br />j, T-.61 1,25 1.59 2.52 3.16 3.83.81 4,44
<br />] 9 72DI 1.CU 1.45 1.32 2.27 2.56
<br />5.14
<br />2. a
<br />5 `8
<br />3?3
<br />6A•6
<br />3.72
<br />7.11
<br />4.10
<br />! 7.50
<br />4. 0
<br />1 3.51. 9-? L
<br />4. l 5.32
<br />=.3
<br />A
<br />
|