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TABLES OF LATITUDE AND DEPARTURE.

N. S. E. W. N. S. E. W. N. S. E. W. N. S. E. W.

32° 1 0.8480 0.5299 2 1.6961 1.0598 3 2.5441 1.5897 4 3.3922 2.1197 5 4.2402 2.6496 6 5.0883 3.1795 75.9363 3.7094 8 6.7844 4.2394 7.6324 4.7693 33 57 1 0.8386 0.5446 2 1.6773 1.0893 3 2.5160 1.6339 4 3.3547 2.1786 5 4.1934 2.7232 6 5.0320 3.2678 7 5.8707 3.8125 8 6.7094 4.3571 9 7.5480 4.9018 34

58°

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56°

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1.6433 1.1400

1 0.8290 0.5592 2 1.6581 1.1184 3 2.4871 1.6776 4 3.3162 2.2368 5 4.1452 2.7960 6 4.0742 3.3552 7 5.8033 3.9144 8 6.6323 4.4735 97.4613 5.0327 35° 55 1 0.8191 0.5736 2 1.6383 1.1472 3 2.4575 1.7207 4 3.2766 2.2943 54.0958 2.8679 64.9149 3.4415 7 5.73414.0150 8 6.5532 4.5886 9 7.3724 5.1622 E. W. N. S.

0.8266 0.5628 0.8241 0.5664 1.6532 1.12561.6482 1.1328 2.4798 1.6884 3.3063 2.2512 4.1329 2.8140 4.9595 3.3768 5.7861 3.9396 6.6127 4.5024 7.4393 5.0652

351 542 0.8166 0.5771 1.6333 1.1543 2.4499 1.7314 3.2666 2.3086 4.0832 2.8857 4.8998 3.4629 5.7165 4.0400 6.5331 4.6172 7.3498 5.1943 E. W. N. S.

2.4724 1.6992 2.4649 1.7100 3.2965 2.2656 3.2866 2.2800 4.1206 2.8320 | 4.1082|2.8500 4.9447 3.3984 4.9299 3.4200 5.7689 3.96485.7515 3.9900 6.5930 4.5313 6.5732 4.5600 7.4171 5.0977 7.3948 5.1300 35 541 352 541 0.8141 0.5807 0.8116 0.5842 1.6282 1.1614 1.6231 1.1685 2.4423 1.7421| |2.4347 1.7527 3.2565 2.3228||3.2463 2.3370 4.0706 2.9035 4.0579 2.9212 4.8847 3.4842 4.8694 3.5055 5.6988 4.0649 5.6810 4.0897 6.5129 4.6456 6.4926 4.6740 7.3270 5.2263 7.3042 5.2582 N. S.

E. W.

E. W. N. S.

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1.6129 1.1826
2.4193 1.7739
3.2258 2.3652
4.0322 2.9565
4.8387 3.5478

1.6077,1.1896
2.4116 1.7845
3.2154 2.3793
4.0193 2.9741
4.8231 3.5689

362 0.8012 0.5983 1.6025 1.1966 2.4038 1.7950

531

3.2050 2.3933 4.0063 2.9916 4.8075 3.5899

5.6451 4.1391 5.6270 4.1638 5.6088 4.1883 6.4516 4.7304 6.4308|4.7586||6.4100 4.7866 7.2580 5.32177.2347 5.3534||7.2111 5.3849

2 1.6181 1.1756
3 2.4271 1.7634
4 3.2361 2.3511
5 4.0451 2.9389
6 4.8541 3.5267
7 5.6631 4.1145
8 6.4721 4.7023
9 7.2812 5.2901
37 53 371 522
1 0.7986 0.6018 0.7960 0.6053
2 1.5973 1.2036 1.5920 1.2106
3 2.3959 1.8054 2.3880 1.8159
4 3.1945 2.4073 3.1840 2.4212
53.9932 3.0091 3.9800 3.0265
6 4.7918 3.6109 4.7760 3.6318
7 5.5904 4.2127||5.5720 4.2371
8 6.3891 4.8145 6.3680 4.8424
9 7.1877 5.4163 7.1640 5.4476

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381 51 0.7826 0.6225 1.5652 1.2450

383 511

0.7799 0.6259

1.5598 1.2518

2.3478 1.8675

2.3397 1.8778

3.1195 2.5037 3.8994 3.1296

38° 52 1 0.7880 0.6156 2 1.5760 1.2313 3 2.3640 1.8470 4 3.1520 2.4626 53.9401 3.0783 6 4.7281 3.6940 7 5.5161 4.3096 8 6.3041 4.9253 9 7.0921 6.5409 39° 51 391 50 1 0.7771 0.6293 0.7744 0.6327 2 1.5543 1.2586 1.5488 1.2654 3 2.3314 1.8880 2.3232 1.8981 43.1086 2.5173 3.0976 2.5308 5 3.8857 3.1466 3.8719 3.1635 3.8581 3.1804 6 4.6629 3.7759||4.6463 3.7962|| 4.6297 3.8165

381 512 0.7853 0.6191 1.5706 1.2382 2.3559 1.8573 3.1413 2.4764 3.1304 2.4900 3.9266 3.0955 3.9130 3.1125 4.7119 3.7146 4.6956 3.73514.6793 3.7555 5.4972 4.3337 5.4782 4.3576 5.4592 4.3815 6.2825 4.9528||6.2608 4.9801 6.2391 5.0074 7.0678 5.5718 7.0434 5.6026 7.0190 5.6333 391 501 0.7716 0.6361 0.7688 0.6394 1.5432 1.26211.5377 1.2789 2.3149 1.9082 2.3065 1.9183 3.0865 2.5443

392 501

E. W. N. S.

7 5.4400 4.4052|| 5.4207 4.4289 8 6.2172 5.0346 6.1951 5.0616 9 6.9943 5.6639 6.9695 5.6943 E. W. N. S.

5.4014 4.4525
6.1730 5.0886
6.9446 5.7247

3.0754 2.5578 3.8442 3.1972 4.6130 3.8366 5.3819 4.4761 6.1507 5.1155 6.9196 5.7550

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TABLES OF SURVEYS.

THE USE OF THE FOREGOING TABLES IN RELATION

TO SURVEYS.

THEY show, by inspection, the alteration of latitude and departure to every degree on the compass, and that for any distance not exceeding 100.000 links.

In the uppermost rank of every division are placed the several angles and their complements, to 45°, including the quarter, half, and threequarters of degrees; and in the left-hand column are lengths of the measured lines of the fieldwork, and in the common areas are the difference of latitude and departure.

EXAMPLES.

Suppose the angle to be N. E. 271⁄2 degrees, and the line in the field measured to 6 chains, and it be required to find the Northings and Eastings of that station, under 27 degrees, and answering to 6 in left-hand column, the number in the com

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