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Vi• <br />TABiE I: Tangents and,h'xteruals to a 1° Curve: TABLET I. - Tangelltg_and,Externals to a 1° Curve, ' ;VII <br />Choeli = 860 f t. Chord =100 ft. <br />` Angle ' <br />Tangent <br />External <br />nglc <br />Tangent <br />External <br />ins e' <br />Tangent <br />External <br />'854 <br />5250.3 <br />2041.7 <br />9;4'-" <br />5933.2 <br />2513.5 <br />99' <br />6708.6 <br />3092.7 <br />10' <br />6265.E <br />2052.1 <br />LO' <br />5950.5 <br />2531.0 <br />10`: <br />6728.4 <br />3107.7 <br />20 <br />5281.0 <br />206`2.5 <br />20 <br />5967.9 <br />' 2543.5, <br />20 <br />6748.2 <br />3122.4 <br />30 <br />5296.4 <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 />40 <br />6002.7 <br />2568.6' <br />40 <br />6788.1 <br />3153.3 <br />50 <br />5327.4 <br />2004.1 <br />50 <br />6020.2 <br />2581.3 <br />."50 <br />6808'.2 <br />3168.7 <br />66. <br />5343.0 <br />2104.1 <br />93 <br />6037.8 <br />2594.6 <br />100 <br />•6828:3 <br />3184.1 <br />10 <br />-5358.6 <br />2115.3 <br />10- <br />6055.4 <br />NAG.8 <br />10 <br />`6848.5 <br />311)A.6 <br />20 <br />5374.2 <br />2126.0 <br />20' <br />6073:1 <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 <br />3230.8 <br />• 40 <br />5405-.6 <br />2147.5 <br />-40 <br />61DS.6 <br />2645..5.40 <br />2A <br />6909.6 <br />3246.5 <br />50 <br />5421.4 <br />2158.4 ': <br />50 <br />612G.4 <br />2658.5 <br />50 <br />6930.1 <br />3262.3 <br />87-. <br />5437.2 <br />2169.2 <br />94 <br />619 f.3 <br />2671':8 <br />161 <br />6950.6 <br />3278.1 <br />10 <br />54:53:1 <br />21S0.2'' <br />TO' <br />616"2:6 <br />2884.7 <br />10 <br />6971.3 <br />3294.1 <br />20 <br />• 54.69.0 <br />2191.1 <br />' 20' <br />6180.2 <br />2697.9 <br />- 20 <br />6992.0 <br />331D.1 <br />30 <br />5484'.9 <br />2202.2 <br />30 <br />6198:3 <br />2711.2 <br />31) <br />7012:7 <br />3326.1 <br />-40 <br />5500.9 <br />2213.2 <br />' '40 <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 />5D <br />7054;5 <br />335S.5 <br />7.1.98 <br />5533.1 <br />2235.5. <br />95' <br />6252.8 <br />2751.3 <br />'102'- <br />7675.5 <br />3974.9 <br />10' <br />5549.2 <br />2246.7 <br />10 <br />0271.1 <br />2764.8 <br />10 <br />7096.6 <br />3391.2 <br />20. <br />5565.4 <br />2258,0 <br />20 <br />6289.4 <br />2778,3 <br />120 <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 />7139.0 <br />3424,3 <br />40' <br />5597.8 <br />2280.E <br />"40 <br />6326.3 <br />2805.(; <br />40 <br />7160:3. <br />3410-9 <br />'.50'. <br />. 561.4.2 <br />2292.0 <br />'50 <br />6344.8 <br />2819.4 <br />60 <br />7181.7 <br />3457.6 <br />so- <br />5030.5 <br />2303.5 <br />, 96' ' <br />6363.4 <br />2833:2 <br />403`-'- <br />7203.2 <br />3474.4 <br />10- <br />; 5640':9 <br />2315.0 <br />• "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 />7246.3 <br />3508.2 <br />.30 <br />t 5679.9 <br />2338.2 <br />30 <br />.6419.5 <br />2875.0, <br />30_ <br />7268.0 <br />3525.2 <br />40 <br />5696.4 <br />2349.8 <br />40 <br />6438.4 <br />2889.0 <br />40 <br />7289.8 <br />3542.4 <br />50. <br />5713.0 <br />2361:5 <br />50 <br />6457:3 <br />2903.1 <br />50 <br />7311.7 <br />3559.6 <br />so <br />5729.7 <br />2373.3- <br />97 <br />6476.2 <br />2917:3 <br />104, <br />7333:G <br />3576.8 <br />10 <br />5746:3 <br />2385.1 <br />10• <br />6495:2 <br />'2931.6 <br />10 <br />7355c6 <br />3:194.2 <br />20 <br />5763.1 <br />2397.0 <br />• 20 <br />6514.3 <br />2945.9 <br />20 <br />7377.8 <br />3611.7 <br />30' <br />5779.9 <br />2408.9 <br />30 <br />6533.4 <br />2960:3 <br />30' <br />7399.9 <br />3629.2 <br />40' <br />5796.7 <br />2420.9 <br />40 <br />0552:6 <br />2974.7 <br />- 40 <br />7422,2 <br />3546.8 <br />50 <br />5513.6 <br />2432.9 <br />50 <br />6571.9 <br />2959.2 <br />50 <br />7444.6 <br />3664.5 <br />'111 <br />5830.5 <br />2444:9 <br />93 <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 />6010.6 <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 />5881.7 <br />2481,5 <br />30 <br />6649.6 <br />3047,930 <br />1 <br />7534.9 <br />3736.2 <br />40 <br />5898.8 <br />2403.8 <br />40• <br />6669.2 <br />3062,8 <br />40 <br />7057:7 <br />3754.4 <br />60 <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 />lat. <br />Angle <br />Curse 5° <br />10° <br />1.5° '20' <br />25° <br />30° <br />35° <br />40° <br />. 45' <br />50° <br />55° GD° <br />65° 70' <br />_ 95' <br />T=.33 <br />G6 <br />1.00 1.33 <br />L.68. <br />2.02 <br />2.36 <br />2.70 <br />345 <br />I,3.40 <br />3.77 4.14 <br />9.35 4.89 <br />10' <br />E=128 <br />.259 <br />.391 .524 <br />.657 <br />:790 <br />.926 <br />1.06 <br />1.20 <br />1 1:34. <br />1.47 1.62 <br />].76 1.91 <br />90' <br />T=.36 <br />'.72 <br />1.09 1.45 <br />1.83 <br />'2.20 <br />2.57 <br />2.04 <br />3.32 <br />3.70 <br />4.10 4.5p <br />4.91 5.32 <br />40 <br />E=.149'' <br />_.299 <br />:450 '.603 <br />.750 <br />.910 <br />1.07 <br />132 <br />1.38'11.54 <br />50 <br />170 1.87 <br />2.03 2.20 <br />95° <br />T=.30 <br />.70 <br />1.19 1.55 <br />12.00 <br />2.40 <br />12.80 <br />3.20 <br />8.61 <br />14.02 <br />4.49 4.9$ <br />5.38 5.83 <br />10, <br />E=.174 <br />'.350 <br />.522 .700 <br />.985 <br />1.06 <br />1.25 <br />1.43 <br />1.62 <br />1.80 <br />1.99 2.1$ <br />2.38 2.58 <br />100° <br />T=.43.86 <br />4561.1 <br />1.30 1.74 <br />2.18 <br />2.62 <br />3.06 <br />3.50 <br />'3.95 <br />4.40 <br />1 <br />4.88 5.37 <br />5.S5 6.34 <br />30 <br />E =.200 <br />:401 <br />.604 .809 <br />1.01 <br />1.22 <br />1.43 <br />1.64 <br />1.85 <br />2A <br />2.282.50 <br />2.73 2.96 <br />105° <br />�AU <br />E <br />941. <br />1.938 <br />8 <br />2.87 <br />4 <br />9504.4 <br />4.35 <br />108 <br />53.5 <br />4018.2 <br />113. <br />= 230 <br />.470 <br />00 <br />117 <br />1.42 <br />JM4 <br />11.65 <br />1.90 <br />14.84 <br />2.14 <br />2.39 <br />2,94 2.90 <br />3.16 3.03 <br />4] <br />Int: <br />Angle. <br />-Tangent, <br />External <br />Int. <br />AngleAngle <br />Tangent <br />Externa[ <br />Int" <br />Taa ent <br />g <br />External <br />106' <br />7603:5 <br />3791.0 <br />111°' <br />8336.7 <br />4386.1 <br />116_° <br />9169.4 <br />5082.7 <br />10' <br />7626.6. <br />3809.4 <br />10' <br />8362.7 <br />4407'.6 <br />10' <br />. 9199.1 <br />5107.9 <br />20 <br />'7649.7 <br />3827.9 <br />20 <br />8388.9 <br />.4420.2 <br />20' <br />9229.0 <br />5133.3 <br />30. <br />7672.6 <br />. <br />3846.5: <br />30 <br />8415.1 <br />4450. D' <br />30 <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 />9289.2 <br />5184.5 <br />50 <br />7719.7 <br />3834.0 <br />50 <br />8468.0 <br />4494.6 <br />50 <br />9319.5 <br />5210.3 <br />107 <br />7713.2 <br />3902.9 <br />112 -- <br />8494.6 <br />4516.6 <br />117 <br />9349.9 <br />5236.2 <br />10, <br />7766.8 <br />3921.9. <br />10 <br />8521.3 <br />4538.8 <br />".10 <br />9380.5 <br />5262.3 <br />20 - <br />1.131.70 <br />157 <br />3940.9 <br />20 <br />8.i4S.1 <br />4561.1 <br />20 <br />9411.3 <br />5288.6 <br />:30 - <br />.7790.5 <br />7S14.3 <br />3060.1 <br />30 <br />8.175.0 <br />4533:4 <br />30 <br />9442.2 <br />5315.0 <br />40 <br />783S.1-- <br />3979.4 <br />40 <br />8602.1 <br />460G.0 <br />40 <br />9473.2 <br />5341.5- <br />'50 <br />7SG2A <br />3993:7 <br />50 ' <br />8629.3 <br />4628.6 <br />50 <br />9504.4 <br />5368.2 <br />108 <br />'7880.2. <br />4018.2 <br />113. <br />SG5GA <br />4651.3 <br />118 <br />9535.7 <br />5395.1 <br />1.0 <br />7910.4 <br />'4037.8 <br />10 - <br />86&1.0 <br />4674.2 <br />10 <br />9562.2 <br />5422.1 <br />20 <br />7934;6 <br />4057.4' <br />20 <br />8711.:1 <br />.4697.2 <br />20 <br />959S.9''5449,2: <br />30 <br />7959.0 <br />4077.2 <br />80 <br />8739.2 <br />-4720.3 <br />'30' <br />'9630:7 <br />5476.5 <br />„ <br />40 <br />7983:5, <br />4097,1 <br />40 .. <br />8767.0 <br />'4743.6 <br />40'-' <br />9662.6 <br />5504'.0 <br />50 <br />8008.0 <br />4117.0 <br />50 <br />879.1..9. <br />4766.9 <br />50 <br />9694:7" <br />5531.7 ' <br />109 <br />8032.7 <br />4137:1 <br />'114.: <br />8322:0 <br />4790.4 <br />119, <br />9727:0'.5559:4,, <br />10 <br />SU57.4 <br />4157.3 <br />10 <br />.8851.0 <br />48L4.1 <br />10 <br />0759.4 <br />,5587.4" <br />20 <br />8082.3- <br />4 177. 5 <br />20 <br />8579.3: <br />.A837:S <br />20 <br />0792.0:,5615.5 <br />30 <br />8107.3 <br />4197.9 <br />So <br />5907:7- <br />30 <br />9S24. S• <br />•5643;8 <br />40 <br />"8132:3- <br />421.8.4. <br />40 <br />8930.3 ' <br />_4801.7 <br />48S5.7 <br />40 <br />DS57,7 " <br />5672:3 <br />• 50 <br />8157.5 <br />4^_39.0 <br />50 <br />SOG5.,0 <br />•4909.9 <br />- 50 <br />0890.8 <br />.-570o.9 <br />110 <br />8182.8 <br />4259.7 <br />115 <br />8993.8' <br />4934.1 <br />120 <br />9924.0 <br />.5729.7 <br />10 • <br />S208.2 <br />4280.5 <br />10 <br />9022:7 <br />4958.6 <br />10'' <br />9957.5 <br />5755'.6 <br />20 <br />8233.7• <br />4301.4. <br />20 <br />9051,V <br />4953.1 <br />20 <br />9991:Q <br />5787.7 <br />30 <br />8259.3 <br />4322.4 <br />30 <br />90S0:9 <br />'5007:8. <br />.' 30 <br />10025.0 <br />'5817:0 <br />40 <br />'8285.0 <br />4:343-6 <br />40 <br />9110.3' <br />5032.6 <br />40- <br />1005..9.0 <br />5846.5 <br />50- <br />8310.5 <br />-4364-S: <br />50 <br />9139.S <br />-5057.6 <br />.-50 <br />10093.0 <br />5876.1 <br />1"t' <br />15° <br />20° <br />25° <br />30° <br />351 40' <br />445 ,5D° 55° <br />60° 65° <br />Corrections to be Added (T =Tangent. <br />E = External.) <br />1'7 <br />10° <br />�b <br />0 <br />05 -140 <br />3.85 <br />100' <br />L=,200 <br />.4ml .0D1 <br />1"t' <br />15° <br />20° <br />25° <br />30° <br />351 40' <br />445 ,5D° 55° <br />60° 65° <br />701 <br />bugle <br />Curve 5' <br />10° <br />1.SD91.0] <br />05 -140 <br />3.85 <br />100' <br />L=,200 <br />.4ml .0D1 <br />1.22 <br />1.1 11.60 <br />2,06 4.68 <br />x.33 2.73 <br />2.96 <br />T=.46 <br />1.42 <br />1.90 <br />2.38 <br />2.81 <br />3.34 3.84 <br />4.35 4.34 5.3515.87 <br />6.90 <br />6.93 <br />103° <br />E=,230 <br />.94 <br />.470 .700 <br />.938 <br />1.17 <br />1.42 <br />1.65 1.00 <br />2.14 2.39 2.6115.90 <br />3.16 <br />3.41 <br />110' <br />T=.50 <br />1.03 (1.55 <br />2.08 <br />2.60 <br />3.14 <br />3.60' 431 <br />4.76 6.31 5.85 <br />6.43 7.01 <br />7-59 <br />R=.260 <br />.533 .808 <br />1.08 <br />1.36 <br />1.63 <br />1-91 2.19 <br />149 10 1 j 3.05 <br />12.35 3.65 <br />3.95 <br />T='.54 <br />1.131.70 <br />157 <br />229 <br />2.BG <br />3.45 <br />4.03 4.03 <br />5 .23 5.`3 6.44 <br />7 <br />7.07 7. U <br />825 <br />115° <br />E-.307 <br />.5211 .9391126 <br />1.89 <br />2. 21 2.54 <br />2-87 3.20 3.53 <br />3.89 4.2314.58.• <br />T=.61. <br />125 '11.8'9. <br />2.52 <br />3.10 <br />3.81 <br />4.41 5.11 <br />5.74 6.44 7.11 <br />7.80 8.51 <br />9.21 <br />�' =.339 <br />72011.08 <br />1.45 <br />1.82 <br />2.2C <br />°.36- 2.95 <br />1 <br />3-33 3.72 4.10 <br />4.50 4.91 <br />5.32 <br />i <br />