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VI <br />TABLE- IV. - Tangents and Externals to a V Curve. <br />T <br />Angle <br />Tangent <br />External) <br />Angle <br />Tangent <br />Fzternal <br />Angle Tangent <br />F.atornal <br />91°I <br />5830.7 <br />2444.9 <br />101° <br />6950.27 <br />3278.1 <br />111° 8438.7 <br />4386.1 <br />10' <br />5847.5 <br />2457.1 <br />10' <br />6971.3 <br />3294.1 <br />10' 8362.7 <br />I <br />4407.6 <br />20 <br />5864.6 <br />2469.3 <br />20 <br />6992.0 <br />3310.1 <br />20 8336.9 <br />4429.2 <br />30 <br />5861.1 <br />2481.5 <br />30 <br />7012.7 <br />3328.130 <br />8415.1 <br />4450.9 <br />40 <br />5898.8 <br />2493.8 <br />40 <br />7033.6 <br />3342.3 <br />40 5441.5 <br />:4472.7 <br />50 <br />5916.0 <br />2506.1 <br />50 <br />7054.5 <br />3355.5 <br />60 5466.0. <br />4494.6 <br />92 <br />5933.2 <br />2518.5 <br />102 <br />7076.5 <br />3374.9 <br />112 8494.6 <br />4516.6 <br />10 <br />5950.5 <br />25:31.0 <br />10 <br />7096.6 <br />3391..2 <br />10 9521.3 <br />4538.8 <br />20 <br />5967.9 <br />2:143.5 <br />20 <br />7117.8 <br />3407.7 <br />20 8.545.1 <br />4561.1 <br />30 <br />6935.3 <br />2556.0 <br />30 <br />7139.0 <br />3421.3 <br />30 8515.0 <br />4583.4 <br />40 <br />'6002.7 <br />2568.6 <br />40 <br />7160.3 <br />3440.9 <br />40 8602.1 <br />4606.0 <br />50 <br />6020.2 <br />2581.3 <br />50 <br />i161., <br />3457.6 <br />50 8629.3 <br />4628.6 <br />93 <br />6037.8 <br />2594.0 <br />103 <br />7203.2 <br />9474.4 <br />113 8656.6 <br />4651.-1 <br />10 <br />G055.4 <br />2606.8 <br />10 <br />7224.7 <br />3401.3 <br />10 8684.0 <br />4674.2 <br />20 <br />6073.1 <br />2619.7 <br />20 <br />7246.3 <br />3508.2 <br />20 8711.5 <br />4697.2 <br />30 <br />6090.8 <br />2632.6 <br />30 <br />7268.0 <br />3525.2 <br />30 8739.2 <br />•►720.3 <br />40 <br />6108.6 <br />2645.5 <br />40 <br />7239.8 <br />3542.4 <br />40 8767.0 <br />4743.6 <br />50 <br />6126.4 <br />2658.5 <br />50 <br />7311.7 <br />3559.6 <br />50 8794.9 <br />4766.9 <br />94 <br />6144.3 <br />2671.6 <br />104 <br />7333.6 <br />3576.8 <br />114 8622.9 <br />4790.4 <br />10 <br />6162.6 <br />2684.7 <br />10 <br />7355.6 <br />3594.2 <br />10 8851.0 <br />4814.1 <br />20 <br />6180.2 <br />2097.9 <br />20 <br />7377.8 <br />. 36LI.7 <br />20 8579.3 <br />4837.8 <br />30 <br />6198.8 <br />2711.2 <br />30 <br />7399.9 <br />3629.2 <br />30 8907.7 <br />4861.7. <br />-40. <br />6216.4 <br />2724.5 <br />40 <br />7422.2 <br />3646.8 <br />40 8036.3 <br />4885.7 <br />50 <br />6234.6 <br />2737.9 <br />50 <br />7444.6 <br />3661.5 <br />50 6965.0 <br />4909.0 <br />9.5 <br />6252.8 <br />2751.3 <br />105 <br />7467.0 <br />3682.3 <br />115 6993.8 <br />4934.1 <br />30 <br />6271.1 <br />2764.8 <br />10 <br />7499.6 <br />3700.2 <br />10 9022.7 <br />4058.6 <br />20 <br />6289.4 <br />`1778.3 <br />20 <br />71112.2 <br />3718.2 <br />20 9051.7 <br />4983.1 <br />30. <br />6307.9 <br />2792.0 <br />30 <br />753 .9 <br />3726.2 <br />30 9080.9 <br />5007.3 <br />40 <br />6326.3 <br />2305.6 <br />40 <br />755.7 <br />3754.4 <br />40 9110.3 <br />6032.6 <br />50 <br />0344'.3 <br />2819.4 <br />50 <br />7580.5 <br />3772.6 <br />50 9139.8 <br />5057.6 <br />96 <br />6363.4 <br />2833.2 <br />106 <br />7603.5 <br />3791.0 <br />116' 9169.4 <br />5082.7 <br />10 <br />638.2.1 <br />2847.0 <br />to- <br />7626.6 <br />3809.4 <br />10 9199.1. <br />5107.9 <br />20 <br />6400.8 <br />2861.0 <br />20 <br />7649.7 <br />3827.9 <br />20 9229.0 <br />6133.3 <br />30 <br />6419.5 <br />2575.0 <br />30 <br />7672.9 <br />3846.5 <br />30 9''_159.0 <br />5158.8 <br />40 <br />6438.4 <br />2889.0 <br />40 <br />7696.3 <br />3805.2 <br />40 9239.2 <br />5184.6\ <br />50 <br />0457.3 <br />2903.1 <br />50 <br />7719.7 <br />3884.0 <br />60319.5 <br />5210.3' <br />97 <br />6476.2 <br />2917.3 <br />107 <br />7743.2 <br />3902.9 <br />117 9349.9 <br />- 52:36!2 <br />10 <br />G495.2 <br />2931.6 <br />10 <br />7766.8 <br />3921.9 <br />10 9830.5 <br />5262.3 <br />20 <br />6514.3 <br />2945.9 <br />20 <br />7790.5 <br />3940.9 <br />20 9411.3 <br />5298.6 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7814.3 <br />3960.1 <br />3U 9442.2 <br />6815'0 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7839.1 <br />3979.4 <br />- 40 9473.2 <br />5341.5 <br />50 <br />657 t.J <br />2989.2 <br />50 <br />7862.1 <br />.^,998.7 <br />50 9504.4 <br />5366.2 <br />98 <br />6591.2 <br />3003.9 <br />108 <br />7886.2 <br />4018.2 <br />118 9535.7 <br />5395.1 <br />10 <br />6610.6 <br />3018.4 <br />10 <br />7910.4 <br />4037.8 <br />10 9567.2 <br />5422.1 <br />20 <br />6630.1 <br />3033.1 <br />20 <br />7P.34.6 <br />4051:4 <br />20 9598.9 <br />5449.2 <br />30 <br />6649.6 <br />3047.9. <br />30 <br />7959.0 <br />4077.2 <br />30 9G30.7 <br />54787.5 <br />40 <br />6669.2 <br />.1062.8 <br />40 <br />7983.5 <br />4097.1 <br />40 9662.6 <br />6504.0 <br />50 <br />G688.8 <br />3077.7 <br />50 <br />3008.0 <br />4117.0 <br />50 9604.7 <br />553 1. 7 <br />99 <br />0708.6 <br />3092.7 <br />109 <br />8032.7 <br />4137.1 <br />119 9727.0 <br />5559.4 <br />10 <br />6728.4 <br />3107.7 <br />10 <br />8057.4 <br />4157.3 <br />10 9759.4 <br />5587.4 <br />20 <br />6748.2 <br />3122.9' <br />20 <br />8062.3 <br />4177.5 <br />20 9792.0 <br />5615.5 <br />30 <br />0768.1 <br />3138.1 <br />30 <br />8107.3 <br />4107.9 <br />30 9824.8 <br />5643.8 <br />40 <br />6788.1 <br />3153.3 <br />40 <br />5132.3 <br />4215.4 <br />40 9657.7 <br />5G72.3 <br />50 <br />6808.2 <br />3168.7 <br />50 <br />8157.5 <br />4239.0 <br />50 9690.8 <br />6700.9 <br />100 <br />6829.3 <br />3184.1. <br />Ito <br />S182.8 <br />4259.7 <br />120 9924.0 <br />5729.7 <br />10 <br />6849.6 <br />3199.6 <br />10 <br />8208.2 <br />4280.5 <br />10 9957.6 <br />5758.6 <br />20 <br />6868.8 <br />3215.1 <br />20 <br />8233.7 <br />4301.4 <br />20 9991.0 <br />5787.7 <br />30 <br />6889.2 <br />3230.8 <br />30 <br />8259.3 <br />4322.4 <br />30 10025.0 <br />5817.0 <br />40 <br />6909.6 <br />3246.5 <br />40 <br />8285.0 <br />4343.6 <br />40 10059.0 <br />5646.5 <br />50 <br />6930.1 <br />3262.3 <br />50 <br />8310.8 <br />4364.8 <br />1 50 1 10093.0 <br />1.'5676.1 <br />K <br />VII <br />Table V. 0orrections for use with table IV, <br />COPYRIGHT, 1002, MY [EYFFLL • 2229111 CO. <br />-11 to* a.YeO31 1061 15- 1 X31 2161319 3221 .251 4281 -311 53451 1 6381 -42j 746 <br />15° 04 .10 .14 .19 .24 .2y .34 •39 •45 •51 •53 •58 .63 .68 <br />20° .06 :13 .1q .26 .32 .39 .45 •51 .58 .65 .72 .79 .84 .90 . <br />25° 08 .16 .24 ,33 .40 .49 .58 .67 75 •83 •9° •99 t.o6 x.14 <br />30 .10 .19 .29 •39 •49 •59 •69 •79 .89 .99 1.09 1.20 1.29 1.39 <br />35° 11 .2z .34 •47 •58 .6q .70 .81 .92 1.04 1.29'1.42 1.54 1.66 <br />40 .13 .26' 40 .5 3 .67 .80 .93 1.06 1.20 1.34 1.49 1.641.79 1.94 <br />45° •15 •30 •44 .60 .76 .91 1.06 Let 1.37 1.Ez 1.70 187 2.04 z.zl <br />50° r7 .34 .5t .68 .85 1. oz 1.Iq t 36 1.54 1.72 1.x1 2.10 z.2g 2.48 <br />55° - 1() .38 .57 .76 .95 1.14 1.321 1.52 1.7211 02 2.142-35 2.56 2.77 <br />Go° zl .42 .63 .84 1.05 1.27 1.49 1.71 1.y4i2.17�2.38 2.60 2.8313.07 <br />65° z3 .46 .6q .q3 116 1.40 1.641.88 2.1312.38'2 63 2.85 3.13 3.39 <br />7o z5 .5r .76 [.02 1.28 154 1.802.06 2.3312.6012.88 3,16 3,443-72 <br />75° 27 •56 .83 1.12 x.40 L bq r.g81z.27 2.57 2 87 3.16 3.47 3.784-09 <br />8o° .30 .61 .91 1.22 1.53 1.84 2.152.46 2 78 3 103-44 3.78 4.72 4.46 <br />85° .33 .66 1.00 1.33 r.68 2.02 2.36 2.70 3 05 3 40 3.77 4 14 4.55 4.89 <br />90 361 .7z t.oq 1.45 1.83 2.20 2.5712.94 3.32 3.70 4.10 4-504-91 5.32 <br />95° 39 •79 1.19 1.55 2.002-402. 80 3.20 3.61 4 oz 4 40 4.y8 5.38 5 83 <br />too' . a3 .861.301.74 2.18 2.62 3.o6 3 50 3.95 4.40 4.8815.37 5.85 634 <br />For <br />Externals Add <br />eRGLG <br />UR 95-1 <br />10° 1 <br />15° 1 <br />20, 125° <br />1.30, 1351 <br />140- <br />14511 <br />50° 1 <br />55° 1 <br />601 1651 <br />170* <br />io° <br />�,001 <br />.003.004.006.007 <br />.008 <br />-009 <br />-011 <br />.0.2 <br />0'4 <br />.o 15 <br />.017 <br />•o1S <br />.021 <br />15° <br />003 <br />.007 <br />.026-014-018.023.027-029-032 <br />038 <br />.045 <br />.051 <br />.035 <br />.057 <br />.03y <br />.063 <br />.043 <br />.070 <br />•017 <br />.076 <br />•051 <br />-08- <br />20° <br />25° <br />.006 <br />oog.o18.027.o36 <br />.011 <br />.017 <br />.022 <br />.oz8 <br />.o46.o56.o65 <br />.034 <br />.074.083 <br />•093 <br />•106 <br />.120 <br />.127.13! <br />.30° <br />:013-025-038-051-065-078-090-103 <br />.013 <br />-025 <br />.038 <br />.051 <br />.065 <br />.078 <br />.oxo <br />,103 <br />.116 <br />.129 <br />.149 <br />.170 <br />.179 <br />-M <br />.261 <br />35° <br />40° <br />•--'5 <br />.023 <br />.035 <br />.046 <br />.054.072 <br />.o7o <br />.093 <br />.oB6 <br />.117 <br />.Ioq <br />.lAr <br />.131 <br />-172.203 <br />.153 <br />.175 <br />.234 <br />.197 <br />.265 <br />.213 <br />.277 <br />•230 <br />.290 <br />.247 <br />.315 <br />.341 <br />45° <br />50' <br />.030-060-093-119 <br />037.o75.1t6.151 <br />153.184 <br />.189.227.266.305 <br />.216 <br />.254 <br />.289 <br />•345 <br />.325 <br />•384;425 <br />.351 <br />.378 <br />•4675081.551 <br />•411 <br />.44' <br />55° <br />046.093.142 <br />.185 <br />.236 <br />.283 <br />.332 <br />.38r <br />.qz6 <br />.479 <br />•530 <br />6361.6 <br />.51921'.11411:781, <br />67 <br />1 60° <br />o56.n2.168.2z5 <br />•283 <br />.340 <br />•398 <br />.483 <br />•457 <br />.554 <br />.516 <br />.625 <br />575 <br />697 <br />36 <br />.7r1 <br />.845 <br />•774 <br />922 <br />1.0 <br />65° <br />70° <br />o67 <br />.x35.204.273 <br />.159.24. <br />59 <br />•240.321 <br />343 <br />403 <br />•412 <br />.485 <br />.568 <br />.652 <br />735 <br />•819 <br />.go6 <br />.994 <br />1.08 <br />1.1 <br />75° <br />.080 <br />.095.182.286-383 <br />.480-578.678 <br />777 <br />•877 <br />977 <br />1.07 <br />1 25 <br />1.18 <br />7.38 <br />1.29 <br />1 50 <br />I.3 <br />1.6 <br />8o° <br />„110 <br />.220 <br />.332 <br />.445 <br />•558 <br />.671 <br />.787 <br />.903 <br />i.o6 <br />1.02 <br />1.20 <br />7.13 <br />1 34 <br />1.47 <br />1 62 <br />1.76 <br />1.9 <br />85° <br />90° <br />T28 <br />'149 <br />.259 <br />.299 <br />•391 <br />•450.603 <br />•524 <br />•657 <br />.756 <br />•790 <br />.9101:07 <br />•926 <br />1.22111-38 <br />1.5411-70 <br />1.87 <br />2.03 <br />2.38 <br />2.2 <br />2.5 <br />° <br />.95° <br />174 <br />inn <br />-350.522 <br />nnr <br />_605 <br />.7n06 <br />.00Q <br />.985 <br />1.01 <br />r.06 <br />1.22 <br />1.25 <br />1.43 <br />1.93 <br />1.64 <br />1.62 <br />1.85 <br />1.8011 <br />2 06 <br />99 <br />2.28 <br />2.18 <br />2.50 <br />2.73 <br />2.9 <br />s <br />-f 4 <br />-A <br />