Table IV. — 



Tangents and Externals to a 1° Curve. 



Table t — Minutes in Decimals of a Degree. 



V 



.0167 



11' 



.1833 



%V 



.3500 



31' 



.5167 



41' 



.6833 



51' 



.8500 



2 



.0333 





.2000 



22 



.3667 



32 



.5333 



42 



.7000 



52 



.8667 



3 



.0500 



13 



.2167 



23 



.3833 



33 



.5500 



43 



.7167 



53 



.8833 



4 



.0667 



11 



.2333 



21 



.4000 



34 



.5667 



44 



.7333 



54 



.9000 



5 



.0833 



15 



.2500 



25 



.4167 



35 



.5833 



45 



.7500 



55 



.9167 



6 



.1000 



16 



.2667 



26 



.4333 



36 



.6000 



46 



.7667 



56 



.9333 



7 



.1167 



17 



.2833 



27 



.4500 



37 



.6167 



47 



.7833 



57 



.9500 



8 



.1333 



18 



.3000 



28 



.4667 



38 



.6333 



48 



.8000 



58 



.9667 



9 



.1500 



19 



.3167 



29 



.4833 



39 



.6500 



49 



.8167 



59 



.9833 



10 



.1667 



20 



.3333 



30 



.5000 



40 



.6667 



50 



.8333 



60 



1.0000 



Table II. — Inches in Decimals of a Foot. 



1-16 

 .0052 



3-32 

 .0078 



H 



.0104 



3-16 

 .0156 



M 

 .0208 



5-16 

 .0260 



% 

 .0313 



H 

 .0417 



H 

 .0521 



% 

 .0625 



% 

 .0729 



1 



.0833 



2 



.1667 



3 



.2500 



4 



.3333 



5 



.4167 



6 



.5000 



7 



.5833 



8 



.6667 



9 



.7500 



10 



.8333 



11 

 .9167 



Table III. — Radii, Ordinates and Deflections. 



Deg. 



Radius 



Mid. 

 Ord. 



Tan. 

 Def. 



Chd. 

 Def. 



Dei. 

 tor 



1 .boot 



Deg. 



Radius 



Mid. 

 Ord. 



Tan. 

 Def. 



Chd. 

 Def. 



uei 

 ior 

 1 r OOu 



0° 10' 



34377. 



.036 



.145 



.291 



0.05' 



7° 





819. 



0 



1. 



528 



6.105 



12. 



21 



2.10' 





20 



17189. 



.073 



.291 



.582 



0.10 





20' 



781. 



8 



1. 



600 



6.395 



12. 



79 



2.20 





30 



11459. 



.109 



.436 



.873 



0.15 





30 



764. 



5 



1. 



637 



6.540 



13. 



08 



2.25 





40 



8594.4 



.145 



.582 



1.164 



0.20 





40 



747. 



9 



1. 



673 



6.685 



13. 



37 



2.30 





50 



6875.5 



.182 



.727 



1.454 



0.25 



8 





716. 



8 



1. 



746 



6.976 



13. 



95 



2.40 



1 



5729.6 



.218 



.873 



1.745 



0.30 





20 



688.2 



1. 



819 



7.266 



14. 



53 



2.50 





10 



4911.2 



.255 



1.018 



2.036 



0.35 





30 



674. 



7 



1. 



855 



7.411 



14. 



82 



2.55 





20 



4297.3 



.291 



1.164 



2.327 



0.40 





40 



661. 



7 



1 



892 



7.556 



15. 



11 



2.60 





30 



3819.8 



.327 



1.309 



2.618 



0.45 



9 





637. 



3 



1 



965 



7.846 



15. 



69 



2.70 





40 



3437.9 



.364 



1.454 



2.909 



0.50 





20 



614. 



6 



2 



037 



8.136 



16. 



27 



2.80 





50 



3125.4 



.400 



1.600 



3.200 



0.55 





30 



603. 



8 



2. 



074 



8.281 



16 



56 



2.85 



2 



2864.9 



.436 



1.745 



3.490 



0.60 





40 



593. 



4 



2. 



110 



8.426 



16 



85 



2.90 



10 



2644.6 



.473 



1.891 



3.781 



0.65 



10 





573. 



7 



2. 



183 



8.716 



17 



43 



3.00 





20 



2455.7 



.509 



2.036 



4.072 



0.70 





30 



546. 



4 



2 



292 



9.150 



18 



30 



3.15 





30 



2292.0 



.545 



2.181 



4.363 



0.75 



11 





521. 



7 



2 



402 



9.585 



19 



16 



3.30 





40 



2148.8 



.582 



2.327 



4.654 



0.80 





30 



499. 



1 



2 



511 



10.02 



20 



04 



3.45 





50 



2022.4 



.618 



2.472 



4.945 



0.85 



12 





478. 



3 



2 



620 



10.45 



20 



91 



3.60 



3 



1910.1 



.655 



2.618 



5.235 



0.90 





30 



459 



3 



2 



730 



10.89 



21 



77 



3.75 





10 



1809 . 6 



.691 



2.763 



5.526 



0.95 



13 





441 



7 



2 



839 



11.32 



22 



64 



3.90 





20 



1719.1 



.727 



2.908 



5.817 



1.00 





30 



425 



4 



2 



949 



11.75 



23 



51 



4.05 





30 



1637.3 



.764 



3.054 



6.108 



1.05 



14 





410 



3 



3 



058 



12.18 



24 



37 



4.20 





40 



1562.9 



.800 



3.199 



6.398 



1.10 





30 



396 



2 



3 



168 



12.62 



25 



24 



4.35 





50 



1495.0 



.836 



3.345 



6.689 



1.15 



15 





383 



1 



3 



277 



13.05 



26.11 



4.50 



4 



1432.7 



: . 873 



3.490 



6.980 



1.20 





30 



370 



8 



3 



387 



13.49 



26.97 



4.65 





10 



1375.4 



.909 



3.635 



7.271 



1.25 



16 





359 



3 



3 



496 



13.92 



27 



84 



4.80 





20 



1322.5 



.945 



3.718 



7.561 



1.30 





30 



348 



5 



3 



606 



14.35 



28 



70 



4.95 





30 



1273.6 



.982 



3.926 



7.852 



1.35 



17 





338 



3 



3 



716 



14.78 



29.56 



5.10 





40 



1228.1 



1.018 



4.071 



8 . 143 



.1.40 



18 





319 



6 



3 



.935 



15.64 



31 



.29 



5.40 





50 



1185.8 



1.055 



4.217 



8.433 



1.45 



19 





302 



.9 



4 



.155 



16.51 



33.01 



5.70 



5 



1146.3 



1.091 



4.362 



-8.-724 



1.50 



20 





287 



.9 



4 



.374 



17.37 



34 



.73 



6.00 





10 



1109.3 



1.127 



4.507 



*9.014 



1.55 



21 





274 



.4 



4 



.594 



18.22 



36.44 



6.30 





20 



1074.7 



1.164 



4.653 



9.305 



1.60 



22 





262 



.0 



4 



.814 



19.08 



38.16 



6.60 





30 



1042 . 1 



1.200 



4.798 



9.596 



1.65 



23 





250 



.8 



5 



.035 



19.94 



39 



.87 



6.90 





40 



1011.5 



1.237 



4.943 



9 .886 



1.70 



24 





240 



.5 



5 



.255 



20.79 



41 



.58 



7.20 





50 



982.6 



1.273 



5.088 



10.18 



1.75 



25 





231 



.0 



5 



.476 



21.64 



43 



.28 



7.50 



6 



955.4 



1.309 



5.234 



10.47 



1.80 



26 





222 



.3 



5 



.697 



22.50 



44 



.99 



7.80 



10 



929.6 



1 . 346 



5.379 



10.76 



1.85 



27 





214 



.2 



5 



.918 



23.35 



46 



.69 



8.10 





.20 



905.1 



1.382 



5.524 



11.05 



1.90 



28 





206 



.7 



6 



.139 



24.19 



48 



.38 



8.40 





30 



881.9 



1.418 



5.669 



11.34 



1.95 



29 





199 



.7 



6 



.360 



25.04 



50 



.07 



8.70 





40 



859 ..9- 



1.455 



5.814 



11.63 



2.00 



30 





193 



.2 



0 



.583 



25.88 



51 



.76 



9.00 







External 



Angle 



Ta n cpn f 



J. dl-lgCUL 



J_>a\ IC1 lltlj 



Angle 





TV' v - i / j, t" r-i . 1 1 

 .E^XLcillsAl 



1° 



50.00 





.22 



11° 



551.70 



26.50 



21° 



1061.9 



97.57 



10' 



58.34 





.30 





10' 



560.11 



27.31 



10' 



1070.6 



99.16 



20 



66.67 





.39 





20 



568 . 53 



28. 14 



20 



1 079 . 2 



100.75 



30 



75.01 





.49 





30 



576.95 



28.97 



30 



1087.8 



102.35 



40 



83.34 





.61 





40 



585.36 



29.82 



40 



1096.4 



103.97 



50 



91.68 





.73 





50 



593 . 79 



30.68 



50 



1105. 1 



105.60 



2 



100.01 





.87 



12 





602.21 



31.56 



22 



1113.7 



107.24 



10 



108.35 



1.02 





10 



610.64 



32.45 



10 



1122.4 



108.90 



20 



116.68 



1 



.19 





20 



619.07 



33.35 



20 



1131.0 



110.57 



30 



125.02 



1 



.36 





30 



627 . 50 



34.26 



30 



1139.7 



112.25 



40 



133.36 



1 



55 





40 



635.93 



35 . 18 



40 



1148.4 



113.95 



50 



141.70 



1 



.'75 





50 



644 . 37 



36. 12 



50 



1157.0 



115.66 



3 



150.04 



1 



.96 



13 





652.81 



37 . 07 



23 



1165,7 



117.38 



10 



158.38 



2 



. 19 





10 



661.25 



38.03 



10 



1174.4 



119. 12 



20 



166.72 



2 



.43 





20 



069 . 70 



39.01 



20 



1183. 1 



120.87 



30 



175 . 06 



2 



.67 





30 



678.15 



39.99 



30 



1191.8 



122.63 



40 



183.40 



2 



.93 





40 



686.60 



40.99 



40 



'200.5 



124.41 



50 



191.74 



3 



.21 





50 



695.06 



42 . 00 



50 



1209.2 



126.20 



4 



200 . 08 



3 



.49 



14 





703.51 



43 . 03 



24 



1217.9 



128.00 



10 



208.43 



3 



.79 





10 



711.97 



44 . 07 



10 



1226.6 



129.82 



20 



216.77 



4 



.10 





20 



720.44 



45. 12 



20 



1235.3 



131.65 



30 



225.12 



4 



.42 





30 



728 . 90 



46.18 



30 



1244.0 



133.50 



40 



233.47 



4 



.76 





40 



737.37 



47.25 



40 



1252.8 



135.35 



50 



241.81 



5 



.10 





50 



745.85 



48.34 



50 



1261 . 5 



137.23 



5 



250. 16 



* 



5 



46 



15 





754.32 



49.44 



25 



1270.2 



139 . 1 1 



10 



258.51 



5 



83 





10 



762 . 80 



50.55 



10 



1279.0 



141.01 



20 



266 . 86 



6 



.21 





20 



771.29 



51.68 



20 



1287.7 



142 . 93 



30 



275.21 



6 



61 





30 



779.77 



52.89 



30 



1296.5 



144 . 85 



40 



283.57 



7 



.01 





40 



788.26 



53.97 



40 



1305.3 



146.79 



50 



291.92 



7 



43 





50 



796 . 75 



55.13 



50 



1314.0 



148.75 



6 



300.28 



7 



86 



16 





805 . 25 



56.31 



26 



1322.8 



150.71 



10 



308 . 64 



8 



31 





10 



813.75 



57 . 50 



10 



1331.6 



152.69 



20 



316.99 



8 



76 





20 



822.25 



58.70 



20 



1340.4 



154.69 



30 



325 . 35 



9 



23 





30 



830.76 



59.91 



30 



1349.2 



156.70 



40 



333.71 



9 



71 





40 



839 . 27 



61 . 14 



40 



1358.0 



158.72 



50 



342 . 08 



10 



20 





50 



847 . 78 



62.38 



50 



1366.8 



160.76 



7 



350.44 



10 



71 



17 





856.30 



63.63 



27 



1375.6 



162.81 



10 



358.81 



11 



22 





10 



864 . 82 



64.90 



10 



1384.4 



164 . 86 



20 



367. 17 



11 



75 





20 



873.35 



66. 18 



20 



1393.2 



166.95 



30 



375.54 



12 



29 





30 



881.88 



67.47 



30 



1402.0 



169.04 



40 



383.91 



12 



85 





40 



890.41 



68.77 



40 



1410.9 



171. 15 



50 



392.28 



13 



41 





50 



898.95 



70.09 



50 



1419.7 



173.27 



8 



400.66 



13 



99 



18 





907 . 49 



71.42 



28 



1428,6 



175.41 



10 



409 . 03 



14. 



58 





10 



916.03 



72.76 



10 



1437.4 



177.55 



20 



417.41 



15. 



18 





20 



924.58 



74.12 



20 



1446.3 



179.72 



30 



425.79 



15. 



80 





30 



933.13 



75.49 



30 



1455.1 



181.89 



40 



434. 17 



16. 



43 





40 



941.69 



76.86 



40 



1464 . 0 



184.08 



50 



442.55 



17. 



07 





50 



950.25 



78.26 



50 



1472 . 9 



186.29 



9 



450.93 



17. 



72 



19 





958.81 



79.67 



29 



1481 . 8 



188.51 



10 



459 . 32 



18. 



38 





10 



967.38 



81.09 



10 



1490.7 



190.74 



20 



467.71 



19. 



06 





20 



975.96 



82.53 



20 



1499 . 6 



192.99 



30 



476.10 



19. 



75 





30 



984.53 



83.97 



30 



1508.5 



195.25 



40 



484 . 49 



20. 



45 





40 



993.12 



85.43 



40 



1517.4 



197.53 



50 



492.88 



21.16 





50 



1001.7 



86.90 



50 



1526.3 



199.82 



10 



501 . 28 



21. 



89 



20 





1010.3 



88.39 



30 



1535.3 



202.12 



10 



509 . 68 



22. 



62 





10 



1018.9 



89.89 



10 



1544.2 



204.44 



20 



518.08 



23. 



38 





20 



1027.5 



91.40 



20 



1553.1 



206.77 



30 



526.48 



24. 



14 





30 



1036.1 



92.92 



30 



1562.1 



209 . 12 



40 



534.89 



24. 



91 





40 



1044.7 



94.46 



40 



1571.0 



211.48 



50 



543.29 



25. 



70 





50 



1053.3 



96.01 



50 



1580.0 



213.86 



