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VI TABLE, 1. - Tangents and Fxtemais to a 1° Curve. <br />Chord -100 ft. ' <br />Int, <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangcm <br />External <br />Lit. <br />Angle <br />Tangent <br />E•xtemal <br />85°, <br />5250.3 <br />2041.7 <br />02' <br />5933.2 <br />2518.5 <br />99° <br />67138.6 <br />3092.7 <br />10' <br />5265.6 <br />2032.1 <br />10' <br />5950,5 <br />1x31.0 <br />IU' <br />;6728.4 <br />" 3107.7 <br />.20 <br />5231.0 <br />2032,5 <br />20 <br />5967.9 <br />2543.5 <br />2U <br />6748.2 <br />3122.9 <br />30 <br />529 G.4 <br />2073-0 <br />30 <br />7985.3 <br />2556.0 <br />3U <br />6738.1' <br />3139.1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />'6002,7 <br />2:568.0 <br />4U <br />6788.1 <br />3153.3 <br />50 <br />5327.4 <br />2094.1 <br />5U <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 />G037.8 <br />2594.0 <br />100 <br />'6828.3 <br />3184-1 <br />10 <br />5358.6 <br />2115.3 <br />10 <br />',GO55.4 <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 />G868:8- <br />3215.1 <br />30 <br />5389.9 <br />213G.7 <br />30 <br />G090.8 <br />2G32.6 <br />30 <br />6889:2 <br />3230.8 <br />40- <br />.5105.G <br />2147.5 <br />40 <br />G108.6 <br />2645.5 <br />40 <br />'6909.6 <br />3246.5 <br />50 <br />5421.4 <br />2158.4 <br />50 <br />G126.4 <br />2653.5 <br />50 <br />3930.1 <br />3262.3 <br />87 <br />5437.2 <br />2160.2 <br />94 <br />6144.3 <br />2671.6 <br />101 <br />G950.6 <br />3278.1 <br />10 <br />5153.1. <br />2180.2 <br />''10 <br />61G2.6 <br />268.1.7 <br />10 <br />6971.3 <br />. 3294.1 <br />20 <br />5169.0 <br />'2101.1 <br />'20! <br />61S0.2 <br />2697.9 <br />20 <br />G992.0 <br />3310.1 <br />30 <br />5184.9 <br />2202.2 <br />30 <br />0193.3 <br />2711.2 <br />30 <br />7012.7 <br />3326.1 <br />40 <br />5500.9 <br />22 13. 2 <br />40: <br />6216.4 <br />272 1. 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 />86 <br />5533.1 <br />2235.5 <br />951' <br />G252.8 <br />2751.3 <br />10$ <br />7075.5 <br />3374.9 <br />10 <br />5549..'2. <br />2246.7' <br />110 <br />6271.1 <br />2704.8 <br />10 <br />70U6, 6 <br />3391.2 <br />20 <br />5565.4 <br />'2:'5'3.0 <br />120 <br />02S9.4 <br />2778.3 <br />20 <br />7117.8 <br />3407.7 <br />30 <br />- 5581.6 <br />2209.3 <br />30 <br />0307.9 <br />2792.0 <br />30 <br />'7139.0 <br />3424.3 <br />40 <br />5597.8 <br />2280.6 <br />40 <br />G32G.3 <br />2805.6 <br />40 <br />7160.3 <br />3140.0 <br />.50 <br />5014.2 <br />2292.11 <br />GO <br />6344.8 <br />2519.4 <br />50 <br />7181.7 <br />3457.E <br />110 <br />8162.8 <br />4259.7 <br />1 <br />8993.8 <br />4934.1 <br />120 <br />9024.0 <br />5720.7 <br />89 <br />5630.5 <br />2303.5 <br />-96 <br />0363.4 <br />2833.2 <br />103; <br />7203.2 <br />347.1.4 <br />10 <br />6646.9 <br />2315.0 <br />- '10, <br />6382.1 <br />2847.0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />5,563.4 <br />2326.6 <br />21) <br />6100.8 <br />2361.0 <br />20 <br />7216.3 <br />3503,2 <br />30 <br />- 5379.9 <br />2338.2 <br />30. <br />6119.5 <br />2S 7.3.0 <br />30 <br />7263.0 <br />35?5.2 <br />40 <br />5696.4. <br />2349.8 <br />40 <br />6138-4 <br />2889.0 <br />40 <br />7289.8 <br />35-42.4 <br />40 <br />5713.0 <br />2361.5' <br />60 <br />3457.3 <br />2003.1 <br />50 <br />7311.7 <br />3559.6 <br />90 <br />5729.7 <br />2373.3 <br />97 <br />6476.: <br />2917.3 <br />104 <br />7333.6 <br />3576.8 <br />10 <br />574000.3 <br />2385:1 <br />10 <br />6195.2 <br />2931.6 <br />10 <br />7355-6 <br />3594.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />G314.3 <br />2945.9 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.9 <br />2108.9 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7399.9 <br />3129.2 <br />40 <br />5796.7. <br />2420.9 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7422.2 <br />3643.8 <br />50 <br />5813.6 <br />2432,9 <br />50 <br />6571.9 <br />2989.2 <br />50 <br />7444.6 <br />3654.5 <br />91 <br />5830.5, <br />2444.0 <br />98 <br />0591.,2 <br />3003.8 <br />105 <br />7€G7.0 <br />3652.3 <br />10 <br />5847.5 <br />2457.1 <br />10 <br />0610.6 <br />3018.4 <br />10 <br />71S9.G <br />3700.2 <br />20 <br />,5864. G. <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 />M1.5 <br />3U <br />6649.6 <br />3047.9 <br />..30 <br />7534.9 <br />3736.2 <br />40 <br />5898.8 <br />2.193.8 <br />40 <br />GG69.2 <br />3062.8 <br />40 <br />7557.7 <br />3754.4 <br />50 <br />5916.0 <br />2506.1 <br />50 <br />GG88.8 <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />Corrections to be Added (T = Tangent:- E. =External.) <br />Ing <br />Angle, <br />.Cure 5° <br />_ <br />10' I5° 20° ' 25° <br />30° <br />35° <br />40° <br />45° <br />50° 55° <br />'60' 6.5° - 70° <br />8S°• <br />7=.33 <br />.60 1.00 IM 1.68 <br />2.02 <br />2.36 <br />12.71 <br />jj 3.053.41 <br />3.77 <br />11.47 <br />4-14 4.55 4.80 <br />10' <br />L=.128 <br />.259 .391 .524 .657 <br />.790 <br />.923 1.06 <br />I1 20 <br />1.34 <br />1.62 1.76 1.91 <br />gp° <br />T-3672 <br />2.57 1.09 1.45 1.83 <br />2.20 <br />20 <br />2.94 <br />3.32 <br />3.70 4.10- <br />.1.8712.03 <br />4.50 4.91 5.32 <br />.5 133.3 <br />E=:140 <br />,299 A50 .603 .756.910 <br />3840.5 <br />1.07 <br />L22 <br />1.3811.54 <br />170 <br />2.20 <br />95° <br />T=.30 <br />.79 1.19 11.55 2.00' <br />2.40 <br />2.80 <br />3.20 <br />i 3.01 <br />9.02 4A9 <br />4.96 5.38 5.&3 <br />5184,5 <br />13 =.114 <br />.350 .522 .706 .985 <br />1106 <br />1.25 <br />1.43 <br />1.62 <br />1.80 1.99 <br />2.18 2.38 2.58 <br />100° <br />T=:43 <br />.86 1.30,11-74 2.18 <br />2.62 <br />3.06 13.50 3.95 <br />4.40 4.88 <br />5.37 5.85 6.34 <br />117 <br />E =.200 i <br />'.401 .601 .809 LOl <br />122 <br />1.43 <br />11.64 <br />1.85 <br />2.06 2.28 <br />2.50 2.73 2.95 <br />105° <br />--46 <br />914011.420 <br />.94 1.42 1."0 2.38 <br />2.87 <br />3.34 <br />3.84 <br />4.35 <br />4.84 5.35 <br />5.@7 0.40 6.93 <br />20 <br />E=2E0� <br />.939 1.17 <br />1.42 <br />1.35 <br />1.30 2.14 2.39 2.64' <br />240 3.16 3.41 <br />' TAnLn I. - Tangents and. Externals to a 1°- Curve. VII <br />Chord= 100 ft. <br />gje <br />Tangent <br />External <br />nt <br />Angle <br />Tangent <br />External <br />, Angle <br />Tan¢ent <br />External <br />106° <br />7603.5 <br />3791.0 <br />111' <br />8336.7 <br />4386.1 <br />rL16° . <br />9169.4 <br />5082,7 <br />10' <br />7626.0 <br />3809.4 <br />40'' <br />8362.7 <br />4407.6 <br />10r' <br />9199.1 <br />5107.9 <br />20. <br />7649:7 <br />3827.0 <br />20 <br />8388.9 <br />4429.2 <br />20 <br />9229.0 <br />.5 133.3 <br />30_ <br />7672.9 <br />3840.5 <br />30 <br />8415.1 <br />4.150.9 <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 />0289.2 <br />5184,5 <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 />45 16. 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 />854S.1 <br />4561.1 <br />20 <br />9411.3 <br />5288.6 <br />30 <br />T814.3 <br />3960.1 <br />30 <br />857.5.0 <br />4583.4 <br />30 <br />9442.2 <br />5315.0 <br />40 <br />7338.1. <br />3979.4 <br />40 <br />8602.1' <br />4606.0 <br />40 <br />9473.2 <br />5341.5 <br />50 <br />7362.1 <br />3998.7 <br />59, <br />8629.3 <br />4623.6 <br />50. <br />-9504.4 <br />5368.2 <br />108 <br />7886.2 <br />4018.2 <br />113 <br />8656.6 <br />465123 <br />118 <br />9535.7 <br />5395.1 <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 />5449.2 <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 />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 />4117.6 <br />50 <br />8704.9 <br />4766.9 <br />50 <br />9694.7 <br />5531.7 <br />109, <br />8032.7 <br />4137.1 <br />114 <br />8822.9 <br />4790.4 <br />119 <br />9727.0 <br />5559.4 <br />IU <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 />4.197.9 <br />30 <br />8907.7 <br />4801.7 <br />30 <br />9824.8 <br />5643.8 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4885.7 <br />40 <br />9857,7 <br />5672." <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50. <br />9990.8 <br />5700.0 <br />110 <br />8162.8 <br />4259.7 <br />'115 ; <br />8993.8 <br />4934.1 <br />120 <br />9024.0 <br />5720.7 <br />10 <br />8208.2 <br />4280.5 <br />10 <br />9022.7 <br />4958.6 <br />10 <br />9057.5 <br />5758.6 <br />20 <br />8233.7 <br />430I.4 <br />200 <br />9051.7 <br />4983?1 <br />20 <br />9991.0 <br />5787.7 <br />30 <br />8259.3 <br />4322.4 <br />30y <br />9030.9 <br />5007.8 <br />30' <br />10025.0 <br />5817.0 <br />40 <br />8285.0 <br />4343.6 <br />40,1 <br />9110.3 <br />5032.6 <br />40 <br />10050.0 <br />5846.5 <br />50 <br />8310.8 <br />4364.8 <br />50 <br />9139.8 <br />3057.G <br />50 <br />16003.0 <br />5376.1 <br />Corrections to be Added (T = Tangent.. E = External.) <br />113 <br />Curve 5° <br />10° <br />15° <br />20° <br />25° 30° <br />35° 40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />70° <br />Angle <br />T=.43 <br />.85 <br />1.30 <br />1.74 <br />2.18 2.32 <br />3.06 3.50 <br />3.95 <br />4.40 <br />4.88 <br />5.37 <br />6.$5 <br />6,34 <br />100° E =.200 <br />.401 <br />.601 <br />.809 <br />LO1 1.22 <br />1.43 1.64 <br />1.65 <br />2.08 <br />2.28 <br />2.50 <br />2.73 <br />2,98 <br />T=.46 <br />.94 <br />1.42 <br />1.90 <br />2.38 2.87 <br />3.34 3.84 <br />4.35 <br />4.84 <br />5.35 <br />6.87 <br />6.40 <br />6.03 <br />105° E=.230 <br />.470 <br />.700 <br />.938 <br />1.17 1-42 <br />1.65 1.90 <br />2.14 <br />2:39 <br />2.64 <br />2.90 <br />3.16 <br />3.41 <br />T=.50 <br />1.03 <br />1.55 <br />2.08 <br />2.60 3.14 <br />3.66 4.21 <br />4.76 <br />5.31 <br />5.80 <br />0.43 <br />7.01 <br />7,60' <br />110° E =.260 <br />.535 <br />.808 <br />108 <br />1-36 1.63 <br />1.91 2.19 <br />2.49 <br />2.61 <br />8.05 <br />8.35 <br />3.65 <br />3:95 <br />T=.54 <br />1.13 <br />3.45. <br />4.03 4.63 <br />5.23 <br />5.83 <br />8.44 <br />7.07 <br />7.70 <br />8.35 <br />115° E =.307 <br />.624 <br />1.57 1,89 <br />2.21 2.54 <br />2.87 <br />3.20 <br />3 �3 <br />3.88 <br />4.23 <br />4,58 <br />T=,61 <br />1.25 <br />�012.66 <br />3.16 3.81. <br />4.44 5.11 <br />5.78 <br />6.44 <br />7.11 <br />7.80 <br />8.51 <br />9.21 <br />120° E=-339 <br />.720 <br />1.82 2.20 <br />2-16 2.95 <br />3.33 <br />3.72 <br />4.10 <br />'4.50 <br />4.91 <br />5.82 <br />