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V1 TABL81 I. - Tangents and Externals to a 1° Curve. <br />rhnrd -1 nn ft- <br />Angel <br />Tangent <br />External <br />Int. Tangent <br />Angle . <br />External <br />Angle <br />Tangent <br />External <br />'85"- <br />5250.3 <br />2041.7 <br />92° ' _ <br />5933:2 <br />. 2518:5 <br />99° <br />6708.6 <br />3092.7 <br />10' <br />5265.6 <br />2052.1 <br />10' <br />5950.5 <br />2531.0 <br />10' <br />6728.4 <br />3107.7 <br />20 <br />5281.0 <br />2062.5 <br />20 <br />5967.9 <br />2543.5 <br />20 <br />6748.2 <br />3122.9 <br />'30 <br />5296.4 <br />2073.0 <br />t30 <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 />2094.1 <br />50 <br />6020.2 <br />'2581.3 <br />50 <br />6808.2 <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 />- 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 />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 />6108.6 <br />2645.5 <br />40' <br />6909.6 <br />3246.5 <br />50 <br />. 5421.4 <br />2158.4 <br />50 <br />6126.4 <br />2658.5 <br />b0 <br />6930.1 <br />3262.3 <br />108 <br />5437'.2 <br />2169.2 <br />94 <br />6144:3 <br />.2671.6 <br />161 <br />6950.6 <br />3278.1 <br />10' <br />5453.1 <br />2180.2 <br />10 <br />6162.6 <br />2684.7 <br />10" <br />6971.3 <br />3294.1 <br />20 <br />5469.0 <br />2191.1 <br />20 <br />6180.2 <br />2697.9 <br />20 <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 />40 <br />6216.4- <br />2724.5 <br />40, <br />7033.6 <br />3342.3 <br />50 <br />5517:0 <br />, 2224.3 <br />60 <br />.6234.6 <br />2737.9 <br />50 <br />7054:5 <br />3358.5 <br />88 - <br />5533.1 <br />2235.5 <br />95 <br />'6252.8 <br />2751.3 <br />102, <br />'7075.5 <br />3374.9 <br />.110; <br />; 5549.2 <br />2246.7 <br />10 <br />.8851.0 <br />^2764.8 <br />10 <br />7096.6 <br />3391.2 <br />•20 <br />55,35.4 <br />2258.0 <br />20 <br />•6271.1 <br />6289.4 <br />2778.3 <br />20t <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 />2280.6 <br />40 <br />.6323:3' <br />.2805.6 <br />'40 <br />7160.3 <br />3440.9 <br />50, <br />5614.2 <br />2292.0 <br />50 <br />6344.8 <br />'2819.4 <br />50 <br />7181.7 <br />3457.8 <br />89' <br />5630.5 <br />2303:5 <br />96 <br />6363:4 <br />2833.2 <br />':103 <br />7203.2 <br />3474.4 <br />10 <br />5646.9 <br />2315.) <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 />80 <br />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 />9e <br />5729:7 <br />2373.3 <br />97 <br />6476.2 <br />2917.3 <br />104 <br />7333.6 <br />3576.8 <br />i10- <br />+5746.3 <br />.2385.1 <br />10 <br />6495.2 <br />2931.6 <br />10= <br />.7355.6 <br />3594.2 <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 />B0 <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 />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 />91' <br />5830.5 <br />2444.9 <br />98 - <br />6591.2 <br />3003.8 <br />165, - <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 />7512.2 <br />3718.2 <br />-1.30• <br />5881.7 <br />2481.5 <br />30 <br />6649.6 <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 />7580.5 <br />3772.6 <br />r . <br />'Corrections to be Added, (T =Tangent: E.=External.)' <br />Int. <br />Curve 5° 10° 15° 20° 25° �30°' 350 40° 45° <br />50°1 55° 60° <br />65° 70° <br />Angle . <br />External <br />Angle <br />Tangent <br />External <br />T-.33, .66 1.00 1.33. 1.68. 2.02' 2.36 2.70 3.05 <br />3.40 3.77 4.14 <br />4.55 4.89 <br />�_... <br />E=.128 .259 .391 ..524 .657 .790 .926 1.06 1.20 <br />1.34 1.47 1:62 <br />L78 1.91 <br />90°: <br />T=.36 .72 1.09 1.45 1.83 2.20- 2.57 2.94 3.32 <br />3.70' 4:10 4.50 <br />4.91 5.32 <br />3809.4 <br />E=.149 .299 .450 .603 .756 .910 11.07 11.22. 1.38 <br />1.54 1.70 1.87 <br />2.03 2.20 <br />101' <br />T=.89 1.19 1.55 2.00 2.40 2.80 3.20 3.61 <br />4.02 4.49 4.98 <br />5.38 5.83 <br />95°.. <br />.79' <br />E=.174 .350 .522 ..706 .985 1.06 1.25 1.43 1.62 <br />1.80 1.99 2.18 <br />2.38 -2.58 <br />iso <br />T=.43 - .86 1.30 1.74 2.18 2.62 3.06 3.50 3.95 <br />4.40, 4.88 5.37 <br />5.85 6.34 <br />30 <br />E=.200 .401 .604 .809 1.01 1.22 1.43 1.64 -1.85 <br />2.08 2.28 2.50 <br />2.73 2.96 <br />8415.1 <br />T=.48 .04 1.42 1.90 2.38 2:87 3.34 3.84 4.35 <br />5.35 5.87 <br />6.40 6.9'3 <br />leo, <br />E=.230 A70 .700 .938 1.17 1.42 1.65 1.90 2.14 <br />.4.84 <br />2.39 2.64 2.90 <br />318 3.41 <br />r <br />TABLE.I. - Tangents and Externals.to a 1° Curve. VII 1 <br />Chord=10.0 ft _-< <br />Angle <br />Tangent <br />External <br />..Angle - <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />108° <br />7603.5• <br />3791.0 <br />111? <br />8336:7 <br />4386.1 <br />110°, <br />9169.4 <br />.5082,7 <br />.10' <br />7626.6 <br />3809.4 <br />10' <br />8362.7 <br />4407.6 <br />101' <br />9199.1 <br />5107.9 <br />.20 <br />7649.7 <br />3827:9 <br />.20- <br />8388.9 <br />4429.2 <br />20 ', <br />9229.0 <br />5183.3 <br />30 <br />7672.9, <br />3846.5 <br />30 <br />8415.1 <br />4450.9 <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 />5184.8 <br />50 <br />:7719.7 <br />3884.0 <br />50. <br />8468.0 <br />4494.6 <br />50 <br />.9319.5 <br />5210.3 <br />107 <br />7743.2. <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 />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 />30 <br />'9442.2 <br />5315.0 <br />40 <br />7838.1 <br />3979.4 <br />40 <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 />50 <br />9504.4 <br />5368.2 <br />108 <br />7886.2 <br />4018.2 <br />113 <br />8656.6 <br />4651.3 <br />118 <br />9535.7 <br />5395.1 <br />30 <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 />'4057.420 <br />1200 <br />8711.5 <br />4697.2 <br />20 <br />9598.9 <br />5449.2 <br />30'.'7959.0 <br />5.11 <br />4077-.2 <br />30 <br />8739.2 <br />4720.3 <br />30. <br />9530.7 <br />5476.5 <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 />b0 <br />8794.9 <br />4766.9 <br />50 <br />9694.7 <br />5531.7 <br />109 .4 <br />8632. 7. <br />4137.1 <br />114. <br />'8822.9 <br />4790.4 <br />119 <br />9727.0 <br />5559.4 <br />10 <br />8057.4 <br />4157.3 <br />10 <br />.8851.0 <br />4814.1 <br />10 <br />9759.4. <br />5587.4 <br />20 <br />8082.3 <br />4177.5 <br />20 . <br />8879:3 <br />4837.8 <br />20 <br />9792.0 <br />5615.5 <br />30 <br />8107.3. <br />4197.9 <br />30' <br />.8907.7 <br />4861.7 <br />30 <br />5643.8 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />"•;: <br />8936:3 <br />4885.7 <br />40 <br />,9824.8: <br />9857.7 <br />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />9890.8 <br />5700.9 <br />110 <br />'10 <br />8182.8 <br />4259.7 <br />115 . <br />8993:8 <br />4934.1 <br />120-. <br />9924.0 <br />5729.7 <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 />4322.4 <br />30 <br />9080.9 <br />5007.8 <br />- 30 -10025.0 <br />5817.0 <br />40 <br />8285:0 <br />4343.6 <br />40 <br />9110.3 <br />5032.6 <br />40 <br />10059.0 <br />5846:8 <br />50 <br />8310.8 <br />4364.8 <br />50 <br />9139.8' <br />5057.8 <br />50 <br />10093.0 <br />5876.1 <br />65° 70° <br />5.85 8.34 <br />Corrections to be Added (T = Tangent. E = External.) <br />Angle <br />_Curve 5° <br />10° 15° 20° ,25° <br />30° 35° 40° 45° 50° 55° <br />60° <br />leo , <br />'.T=.43 <br />E= 200 <br />.88 1.30 1:74 2.18 <br />2.62 3.06 3.50 3.95 4.40 4.88 <br />5.37 <br />y <br />.401 <br />.604 .809 <br />1.01 <br />1.22 <br />1.43 1.64 <br />1.85 <br />2.06 <br />2.28 <br />2.50 <br />2.73 <br />2.96 <br />IWo ' <br />T=.46 <br />.94 <br />1.42 <br />1.90 <br />2.38 <br />2.87 <br />3.34 3.84 <br />4.35 <br />4.84 <br />5.35 <br />5.87 <br />6.40 <br />6.93 <br />E =.230 <br />470 <br />.700 <br />.93 <br />1.17 <br />1.42 <br />1.65 1.90 <br />2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.f8 <br />3.41 <br />1106_ <br />T=.50 <br />• 1.03 <br />1.55 <br />2.08 <br />2.60 <br />3.14 <br />3.664.21 <br />4.76 <br />5.31 <br />5.86 <br />6.43 <br />7.01 <br />7.59 <br />E=.260 <br />.535 <br />.808 <br />1.08 <br />1.36 <br />1.63 <br />1.91 2.19 <br />2.49 <br />2.61 <br />3.05 <br />3.35 <br />3.65 <br />3.95 <br />1150 <br />T=.54 <br />1:13 <br />1.70 <br />2.29 <br />2.88 <br />3.45 <br />4.03 4.63 <br />5.23 <br />5.83 <br />6.44 <br />7.07 <br />7.70 <br />8.35 <br />E =.307 <br />624 <br />.939 <br />1.28 <br />1:57 <br />1.89 <br />,2.21. 2.542.87 <br />3.20 <br />3.53 <br />3.88 <br />4.23 <br />4.58 <br />1200 <br />T=.61 <br />1.25 11.89 <br />2.52 <br />3.16 <br />3.8114.44' <br />5.11 <br />5.78 <br />6.44 <br />7.11 <br />7.80 <br />8.51 <br />9.21 <br />E=.339 <br />.nom <br />1.45 <br />1.82 <br />2.20 <br />2.56 2.95 <br />3.33 <br />3.72 <br />4.10 <br />4 50 <br />4.91 <br />5.32 <br />