Table IV. — Tangents and Externals to a 1° Curve. 



Angle 



Tangent 



External 



Angle 



Tangent 



External 



91° 



5830.5 



2444.9 



101° 



10' 



5847.5 



2457.1 



10' 



20 



5864 . 6 



2469.3 



20 



30 



5881.7 



2481.5 



30 



40 



5898.8 



2493 . 8 



40 



50 



5916.0 



2506.1 



50 



92 



5933 . 2 



2518.5 



102 



10 



5950.5 



2531.0 



10 



20 



5967.9 



2543.5 



20 



30 



5985.3 



2556.0 



30 



40 



6002 . 7 



2568.6 



40 



50 



6020.2 



2581.3 



50 



93 



6037.8 



2594.0 



103 



10 



6055.4 



2606.8 



10 



20 



6073 . 1 



2619.7 



20 



30 



6090.8 



2632.6 



30 



40 



6108.6 



2645.5 



40 



50 



6126.4 



2658.5 



50 



94 



6144.3 



2671.6 



104 



10 



6162.6 



2684.7 



10 



20 



6180.2 



2697.9 



20 



30 



6198.3 



2711.2 



30 



40 



6216.4 



2724.5 



40 



50 



6234 . 6 



2737.9 



50 



95 



6252.8 



2751.3 



105 



10 



6271.1 



2764.8 



10 



20 



6289 . 4 



2778.3 



20 



30 



6307.9 



2792.0 



30 



40 



6326.3 



2805.6 



40 



50 



6344 . 8 



2819.4 



50 



96 



6363 . 4 



2833.2 



106 



10 



6382.1 



2847.0 



10 



20 



6400.8 



2861.0 



20 



30 



6419.5 



2875.0 



30 



40 



6438.4 



2889 . 0 



40 



50 



6457.3 



2903.1 



50 



97 



6476.2 



2917.3 



107 



10 



6495.2 



2931.6 



10 



20 



6514.3 



2945.9 



20 



30 



6533.4 



2960.3 



30 



40 



6552.6 



2974.7 



40 



50 



6571.9 



2989.2 



50 



98 



6591.2 



3003.8 



108 



10 



6610.6 



3018.4 



10 



20 



6630.1 



3033.1 



20 



30 



6649 . 6 



3047.9 



30 



40 



6669.2 



3062.8 



40 



50 



6688.8 



3077.7 



50 



99 



6708.6 



3092.7 



109 



10 



6728.4 



3107.7 



10 



20 



6748.2 



3122.9 



20 



30 



6768.1 



3138.1 



30 



40 



6788.1 



3153.3 



40 



50 



6808.2 



3168.7 



50 



100 



6828.3 



3184.1 



110 



10 



6848.5 



3199.6 



10 



20 



6868 . 8 



3215.1 



20 



30 



6889.2 



3230.8 



30 



40 



6909 . 6 



3246.5 



40 



50 



6930.1 



3262.3 



50 



6950.6 

 6971.3 

 6992.0 

 7012.7 

 7033.6 

 7054.5 



7075.5 

 7096.6 

 7117.8 

 7139.0 

 7160.3 

 7181.7 



7203.2 

 7224.7 

 7246.3 

 7268.0 

 7289 . 8 

 7311.7 



7333.6 

 7355.6 

 7377.8 

 7399 . 9 

 7422 . 2 

 7444.6 



7467.0 

 7489.6 

 7512.2 

 7534.9 

 7557.7 

 7580.5 



7603.5 

 7626.6 

 7649.7 

 7672.9 

 7696.3 

 7719.7 



7743.2 

 7766.8 

 7790.5 

 7814.3 

 7838.1 

 7862.1 



7886.2 

 7910.4 

 7934.6 

 7959 . 0 

 7983 . 5 

 8008.0 



8032.7 

 8057.4 

 8082.3 

 8107.3 

 8132.3 

 8157.5 



8182.8 

 8208.2 

 8233 . 7 

 8259 . 3 

 8285.0 

 8310.8 



Angle 



3278.1 

 3294.1 

 3310.1 

 3326.1 

 3342.3 

 3358.5 



3374.9 

 3391.2 

 3407.7 

 3424.3 

 3440.9 

 3457.6 



3474.4 

 3491.3 

 3508 . 2 

 3525.2 

 3542.4 

 3559.6 



3576.8 

 3594.2 

 3611.7 

 3629 . 2 

 3646.8 

 3664.5 



3682.3 

 3700.2 

 3718.2 

 3736.2 

 3754.4 

 3772.6 



3791.0 

 3809.4 

 3827.9 

 3846.5 

 3865.2 

 3884.0 



3902.9 

 3921.9 

 3940.9 

 3960.1 

 3979.4 

 3998.7 



4018.2 

 4037.8 

 4057.4 

 4077.2 

 4097.1 

 4117.0 



4137.1 

 4157.3 

 4177.5 

 4197.9 

 4218.4 

 4239.0 



4259.7 

 4280.5 

 4301.4 

 4322.4 

 4343.6 

 4364.8 



111° 



10' 



20 

 20 

 40 

 50 



10 



20 

 30 

 40 

 50 



113 



10 



20 

 30 

 40 

 50 



114 



10 



20 

 30 

 40 

 50 



115 



10 



20 

 30 

 40 

 50 



116 



10 

 20 

 30 

 40 

 50 



117 



10 

 20 

 30 

 40 

 50 



118 



10 



20 

 30 

 40 

 50 



119 



120 



Tangent 



External 



10 

 20 

 30 

 40 

 50 



10 



20 

 30 

 40 

 50 



8336.7 

 8362.7 

 8388.9 

 8415.1 

 8441 . 5 

 8468.0 



8494.6 

 8521.3 

 8548.1 

 8575.0 

 8602.1 

 8629 . 3 



8656.6 

 8684.0 

 8711.5 

 8739 . 2 

 8767 . 0 

 8794.9 



8822.9 

 8851.0 

 8879 . 3 

 8907.7 

 8936.3 

 8965.0 



8993.8 

 9022.7 

 9051.7 

 9080.9 

 9110.3 

 9139.8 



9169.4 

 9199.1 

 9229.0 

 9259.0 

 9289.2 

 9319.5 



9349.9 

 9380.5 

 9411.3 

 9442.2 

 9473.2 

 9504.4 



9535.7 

 9567.2 

 9598.9 

 9630.7 

 9662.6 

 9694.7 



9727.0 

 9759.4 

 9792.0 

 9824.8 

 9857.7 

 9890.8 



9924.0 

 9957.5 

 9991.0 

 10025.0 

 10059.0 

 10093.0 



4386.1 

 4407 . 6 

 4429.2 

 4450.9 

 4472.7 

 4494 . 6 



4516.6 

 4538.8 

 4561.1 

 4583.4 

 4606.0 

 4628.6 



4651.3 

 4674.2 

 4697.2 

 4720.3 

 4743 . 6 

 4766.9 



4790.4 

 4814.1 

 4837.8 

 4861.7 

 4885.7 

 4909.9 



4934.1 

 4958.6 

 4983.1 

 5007.8 

 5032.6 

 5057.6 



5082.7 

 5107.9 

 5133.3 

 5158.8 

 5184.5 

 5210.3 



5236.2 

 5262.3 

 5288.6 

 5315.0 

 5341.5 

 5368.2 



5395.1 

 5422.1 

 5449 . 2 

 5476.5 

 5504.0 

 5531.7 



5559.4 

 5587.4 

 5615.5 

 5643.8 

 5672.3 

 5700.9 



5729.7 

 5758.6 

 5787.7 

 5817.0 

 5846.5 

 5876.1 



Table V. Corrections for use with Table IV. 



Copyright, 1902, by Keuffel & Esser Co. 



For Tangents Add 



Int . ^ 

 Angle Curve!) 



io c 

 I5 C 



20 c 



25 c 

 30 c 

 35 c 

 4<> 



5o ( 



55 < 

 6o ( 



65 ( 

 70' 



75' 



8o' 



85 

 90 



95 

 100 



.03 

 .04 

 .06 

 .08 

 .10 

 .11 

 .13 

 .15 

 .17 

 .19 

 .21 



.23 

 .25 

 .27 



.30 

 •33 

 .36 

 •39 

 43 



10° 15° 20° 25 



.06 

 .10 



-13 

 .16 



.19 

 .22 

 .26 



.30 



•34 



.38 

 .42 



.46 



.51 

 .56 

 .61 

 .66 

 .72 



•79 

 .86 



.09 

 .14 



.19 

 .24 

 .29 



•34 

 .40 



.44 

 •5* 

 •57 

 •63 

 .69 

 .76 



.83 



.91 

 1. 00 

 1.09 1 

 1. 19 1 

 1.30 1 



13 

 19 



,26 



•33 

 •39 

 •47 

 •53 

 .60 

 .68 

 .76 

 .84 



•93 

 .02 

 .12 

 .22 



•33 

 •45 

 •55 

 •74 



.16 



•24 

 .32 

 .40 



.49 

 .58 

 .67 

 .76 



•85 

 •95 

 1.05 

 1. 16 

 1.28 

 1.40 



1.53 

 1.68 



1.83 

 2.00 

 2.18 



35° 40° 45° 



.19 

 .29 



•39 

 .49 



•59 

 .69 

 .80 



.91 

 1.02 

 1. 14 

 1.27 

 1.40 



1-54 

 1.69 

 1.84 

 2.02 

 2.20 

 2.40 

 2.62 



.22 



•34 

 •45 

 .58 

 .69 

 .70 



•93 

 1.06 

 1. 19 

 1.32 

 1.49 

 1.64 

 1.80 

 T.98 



2.15 

 2.36 



2.57 

 2.80 

 3.06 



.25 

 •39 

 .51 

 .67 



•79 

 .81 

 1.06 

 1. 21 

 1.36 

 1.52 

 1.71 

 1.88 

 2.06 

 2.27 

 2.46 

 2.70 

 2.94 

 3.20 



.28 



45 

 .58 

 •75 

 .89 

 .92 

 1.20 

 1-37 



1- 54 

 1.72 



1.94 



2.13 



2- 33 

 2.57 

 2.78 



3.05 



3- 32 

 3.6i 



50 c 



55 c 



.31 

 •5i 

 •65 

 •83 



.99 

 1.04 



1-34 



1-52 



1.72 

 1.92 

 2.17 

 2.38 

 2.60 

 2.87 

 3.10 



34o 

 3-7o 

 4.02 



3-50 3-95 



•34 

 •53 

 •72 

 .90 

 1.09 

 1.29 

 1.49 

 1.70 

 1.91 

 2.14 

 2.38 

 2.63 

 2.88 

 3.16 



344 

 3-77 

 4.10 



449 



60 c 



4.40I4.88 



.38 

 •58 

 •79 



•99 

 1.20 

 1.42 

 1.64 

 1.87 

 2.10 



2.35 

 2.60 

 2.88 

 3.16 



347 



3- 78 

 4.14 



4- 50 

 4.98 



5- 37 



65 



42 

 .63 

 .84 

 1.06 

 1.29 



1-54 

 1.79 

 2.04 

 2.29 

 2.56 

 2.83 

 3-13 



3- 44 

 378 

 4.12 



4- 55 

 4.91 



5.38 



70° 



.46 

 .68 

 .90 

 1. 14 

 1.39 

 1.66 

 1.94 

 2.21 

 2.48 

 2.77 

 3.07 

 3-39 

 3-72 

 4.09 

 4.46 



4.89 

 5.32 

 5.83 



5.85 6.34 



For Externals Add 



Int. 

 Angle 



IO^ 



I5 C 



20 c 



25 c 

 3o c 



35; 

 40 



4^ 

 5o ( 



55* 

 6o' 



65' 

 70' 



75° 

 80' 



85' 

 90 



95 

 100 



Curve5° 



10° 



15° 



20° 



.OOI 



.003 



.004 



.006 



.003 



.007 



.010 



.014 



.OO6 



.011 



.017 



.022 



.009 



.018 



.027 



.036 



.013 



.025 



.038 



.051 



.018 



.035 



•054 



.072 



.023 



.046 



.070 



.093 



.030 



.060 



•093 



.119 



0.37 



.075 



.116 



.151 



.046 



•093 



.142 



.188 



.056 



.112 



.168 



.225 



.067 



.135 



.204 



•273 



.080 



• 159 



.240 



.321 



•095 



.182 



.286 



.383 



.110 



.220 



•332 



44-5 



.128 



•259 



•39i 



.524 



.149 



.299 



450 



.603 



.174 



.35o 



.522 



.706 



.200 



.401 



.604 



.809 



25 c 



30 c 



.007 

 .018 

 .028 

 .046 

 .065 

 ,086 

 .117 



153 

 .189 

 .236 

 .283 

 •343 

 403 

 .480 



•558 

 •657 

 .756 

 .985 



I.OI 



008 

 023 



034 

 056 

 078 

 109 

 141 

 ,184 

 ,227 

 .283 



•340 

 .412 



485 

 •578 

 .671 

 .790 

 .910 

 1.06 

 1.22 



35 c 



009 

 027 

 038 

 065 



,090 



131 



,172 



.216 

 .266 

 •332 

 .398 

 483 

 .568 

 .678 



•787 

 .926 

 1.07 

 125 

 143 



40 c 



on 



029 



045 

 074 

 103 



153 

 .203 



•254 

 .305 

 .381 



•457 



•554 

 .652 



■777 

 .903 

 1.06 

 1.22 



1-43 

 1.64 



45 c 



.012 

 032 



051 

 083 

 116 



175 

 234 

 .289 



•345 

 .420 

 .516 

 .625 



•735 

 .877 

 1.02 

 1.20 



1.38 

 1.62 



1.85 



50 c 



55 c 



.014. 

 •035 

 .057 

 •093 

 .129 



.197 

 .265 

 .325 

 .384 

 479 

 •575 

 .697 

 .819 



•977 

 1. 13 



1-34 

 i-54 

 1.80 

 2.06 



.015 



.039 

 .063 

 .106 

 .149 



.213 

 .277 



•35i 

 425 

 •530 

 .636 

 .711 

 .906 

 1.07 



1-25 

 1.47 

 1.70 

 1.99 

 2.28 



60 c 



.017 



•043 

 .070 

 .120 

 .170 

 .230 

 .290 



•378 

 .467 

 .582 

 .697 



•845 



•994 

 1.1 



1.38 

 1.62 



T.87 



2.1 



2.50 



65° 



,018 

 .047 

 .076 

 .127 

 .179 

 •247 

 .315 

 .411 

 .508 

 .641 



•774 

 .922 



.108 



1.29 



1.50 



1.76 



2.03 



2.38 



2.73 



70° 



.020 

 .051 

 .083 



•135 

 .188 

 .264 

 •34i 

 445 

 •550 

 .700 



.851 



I.OI 



1. 17 

 1-39 

 1.62 

 1.91 

 2.20 

 2.58 

 2.96 



