6 10 0000 0043 0086 0128 0170 0212 0253-0294 0334 0374 4 8 21 22 5 253979 399740144031 4048 4065 4082 4099 4116 4133 2 3 26415 4166 41834200 4216 4232 42494265 4281 4298 2 3 274314 433 4346 4362 4378 4393 4469-4425 44404456 2 284472 4487-4502 45184533 4548 45644579 4594-4609 2 3 294624 4639 4654 4669 4683 4698-4713 4728 4742 4757 1 304771 4786 4800 4814 4829 4843 4857 4871 4886 4900 1 3 314914 4928 4942 4955 4969 4983-4997 50115024 5038 13 325051 5065 5079 5092 51055119 5132 5145 5159 5172|| 1 3 33 5185 51985211 52245237-5250-52635276 5289 5302 1 3 34 5315 5328 53405353 5366 5378 53915403 5416-5428 1 3 355441 545354655478 5490 55025514 5527-5539 5551 406021 603160426053 6064607560856096.6107-6117 1 2 41 6128 6138 6149 6160 6170 61806191 62016212 6222|| 1 | 2 42 6232 6243 6253.6263 6274 6284 6294 63 4 63146325 12 4363356345 6355 6365 6375 63856395.6405-6415 6425 1 2 446435 6444 6454 6464 6474 64846493 65036513-6522 1 2 3 4 3 45 6532 6542 6551 6561 6571 6580 6590 6599 6609-6618 1 2 3 3 3 3 4 5 5069906998-7007-7016-7024 70337042-7050-7059-7067 1 2 517076-7084-7093-710171107118 7126 7135-7143-7152 1 2 52 7160 7168-7177 71857193-7202-7210 7218.7226-7235 12 2 3 4 5 6 7 537243 72517259 7267-7275 72847292 7300 7308 7316 1 2 2 3 4 5 6 6 547324 73327340·7348·735673647372 7380 7388 7396 1 2 2 3 4 5 6 6 9 To find from this table the logarithm of any given number not consisting of more than two figures:Look out the given number in the column of "Nat. Nums."; opposite to it in the column headed "0" is the decimal part of the logarithm required. For a number of three figures, look out the first two figures as before in the column of "Nat Nums," and the third figure in the column headed with that figure. Opposite to the first two figures and under the third figure is the logarithm required. 557404-7412 7419 74277435 7443 74517459-7466 7474 1 2 2 3 4 5 59 7782 7789 7796 7803 7817818-78257832-78397846 11 234 61 7853 7860-7868 7875 7882-7889 78967903 79107917 11234 7924-7931-79387945 7952 7959 7966-7973 798 7987 1 637993 8000, 8007 8014 8021 8028-8535-8041-80488055 1 69 8062 80698075 8082 8089 8096-8102-8109 8116 812 1 233 33 10 10 10 10 10 10 10 4 14 10 10 10 10 10 65 8129 8136 8142 8149 8156 8162 8169-8176 8182 81891 123 34 8195 8202 8209 8215 82228228.8235-8241-8248-8254 112334 8261 82678274 8280 8287 8293-8299-8306-8312-8319 1 1 2 3 3 4 5 688325 83318338 8344 8351 83578363 8370-8376 8382 11 2 3 3 4 4 8388-83958401 8407 8414 84208426-8432-84398445 112234 708451-8457 8463-8470 8476 8482 8488 8494-8500 8506 11223 4 4 718513 8519-8525 8531 853785438549 8555-8561 8567 1 22344 728573 8579 8585 8591 8597 86038609 8615 8621 8627 1122344 738633 8639-8645 8651 8657 8663 8669-8675 8681 8686 1 1 2 2 3 4 4 74 8692 8698 8704 8710 8716 8722 8727 8733-8739 8745 1 1 2 2 3 4 4 5 75 8751 8756 8762 8768 8774 8779-8785-8791-87978802 1 1 2 76 8808 8814 8820 8825 8831 8837 8842-8848-88548859 1 778865 8871 8876 8882 8887-8893 8899-8904-8910 8915 1 788921 8927-8932 8938 8943 8949.8954 89608965 8971 798976 8982 8987 8993 8998 9004 9009 90159020 9025] 1 1 2 2 81 82 22222 2 2 3 3 4 3344 4 5 4 5 2 80 9031 9036 9042 90479053 9058 9063 906990749079 1 1 2 2 3 3 4 མ ་་ ་་ ་་ ་ 859294 9299 9304930993159320 9325 933093359340 1i22 3 3 4 4 5 86 9345 9350935593609365-9370.937593809385-939 112233445 879395 9400 9405 9410 9415 9420 9425-943094359440 011223344 88 9445 9450 9455 9460 94659469 9474-9479 9484-9489 0 1 1 2 2 3 3 4 4 89 9499199 95049509 95139518 9523-9528 9533 9538 0 1 12 23 344 233 223 909542 9547-9552 9557 9562 9566 9571 9576-95819586 01 959777 9782 9786 9791-9795 9800 9805 980998149818 0 1 1 2 2 3 3 4 96 97 98 99 9823 9827-9832 9836 9841 9845 9850 9854 9859 9863 0 1 1 2 2 3 3 4 4 9868 9872 9877 98819886-9890 9894 98999903 9908 0 1 1 2 2 3 3 4 4 99129917 99219926 9930-9934 9939 9943 9948-9952 01 1223 S 4 4 -99569961-99659969 9974,9978-9983-9987-991-99960 1 1 2 2 སྨཱ 3 4.4 For a number having four figures, obtain the logarithm of the first three figures in the manner just described, and add to it the number which corresponds to the fourth figure in the proper colun n of Proportional Parts." The first two cases are too simple to require any illustration. Example of a number of four figures.-What is the logarithm of 6858? First write down the characteristic 3 (see page ); then to 8028, the logarithm of 635, add 5, the proportional part answering to the fourth figure of the given number. The result is 3 8033, the logarithm required. 6 Logs. 0 1 (18.) TABLE OF ANTILOGARITHMS. 284 5 67 9 PROPORTIONAL PARTS. z་8「。 1234「。「6「769 00 1000 1002 1005 1007 1009 1012 1014 1016 1019 1021 001111 01 1023 1026 1028 1030 1033 1035 1038 1040 1042 1045 0 1 02 1047 1050 1052 1054 1057 1059 1062 1064 1067 1069 0 03 05 1072 1074 1076 1079 1081 1084 1086 1089 1091 1094 0 04 1096 1099 1102 1104 1107 1109 1112 1114 1117 1119 0 1 1 1 14 1380 1384 1387 1390 1393 1396 1400 1403 1406 1459 01112 122222 22222 22222 333 22333 1222333 22 334 233 15 1413 1416 1419 1422 1426 1429 1432′ 1435 1439 1442 0 1 1 1 2 2 2 3 3 16 1445 1449 1452 1455 1459 1462 1466 1469 1472 1476 0 1 233 19 17 1479 1483 1486 1489 1493 1496 1500 1503 1507 1510 0 11122233 18 1514 1517 1521 1524 1528 1531 1535 1538 1542 1545 0 1 1 1 2 2 2 3 3 1549 1552 1556 1560 1563 1567 1570 1574 1578 1581 0 1 1 1 2 2 3 3 3 1585 1589 1592 1596 1600 1603 1607 1611 1614 1618 0111 24 25 1738 1742 1746 1750 1754 1758 1762 1766 1770 1774 0 1 1 2 2 334 1778 1782 1786 1791 1795 1799 1803 1807 1811 1816 0 1 26 1820 1824 1828 1832 1837 1841 1845 1849 1854 1858 0 1 27 1862 1866 1871 1875 1879 1884 1888 1892 1897 1901011 28 1905 1910 1914 1919 1923 1928 1932 1936 1941 1945 011 29 4 23 344 23 344 2 3 3 4 4 1950 1951 1959 1963 1968 1972 1977 1982 1986 1991 0 1 1 2 2 3 3 30 1995 2050 2004 2009 2014 2018 2023 2028 2032 2037 011 31 2042 2046 2051 2056 2061 2065 2070 2075 208 2084 0 1 1 32 2089 2094 2099 2104 2109 2113 2118 2123 2128 2133 0 1 33 2138 2143 2148 2153 2158 2163 2168 2173 2178 2183 011223 3 44 31 2188 2193 2198 2203 2208 2213 2218 2223 2228 2234 1 1 2 2 3 3 4 4 5 35 2239 2244 2249 2254 2259 2265 2270 2275 2280 2286 1 1 2 2 3 3 4 4 5 35 2291 2296 2301 2307 2312 2317 2323 2328 2333 2339 37 2344 2356 2355 236 2366 2371 2377 2382 2388 2393 1 1 38 2399 2404 2410 2415 2421 2427 2432 2438 2443 2449 1 1 |39 || 2455 2460 2466 2472 2477 2483 2489 2495 2500 2506 1 1 41 22 3 3 4 4 5 2 2 3 3 4 4 5 2 2 3 3 4 4 5 2 2 3 3 4 5 5 12234455 40 2512 2518 2523 2529 2535 2541 2547 2553 2559 2564 2570 2576 2582 2558 2594 260 2606 2612 26 8 2624 1 1 2 2 3 4 4 5 5 42 2630 26 36 2642 2649 2655 2661 2667 2673 2679 2685 1 1 2 2 3 4 4 5 G| 43 2692 2698 2704 2710 2716 2723 2729 2735 2742 2748 1 12 3 3 4 4 5 6 44 2751 2761 2767 2773 2780 2786 2793 2799 2805 2812 1 1 2 3 3 4 4 5 6 45 2818 2825 2831 2838 2854 2851 2858 2864 2871 2877 1 1 2 3 3 4 5 5 6 46 288 2891 2897 2904 2911 2917 2924 2931 2938 2944 1 1 2 3 3 4 5 5 6 47 2951 2958 2965 2972 2979 2985 2992 2999 3006 3013 1 1 2 3 3 4 5 5 6 3020 3027 331 341 3048 3055 3062 369 3 76 3083 1 1 2 3 4 4 566 *49 39) 3697 3105 3112 3119 3126 3133 3141 3148 3155 1 1 2 3 4 4 5 6 6 To find from this table the natural number answering to a given logarithm, look out the first two figures of the logarithm in the column headed" Logs.," and the third figure on the top of the page. The natural number required is opposite to the former, and under the latter. For the fourth loga rithmic figure, if there be one, add the number from the proper column of proportional parts, standing 48 50 53 54 3162 3170 3177 3184 3192 3199 3206 3214 3221 3228 1 1 2 3 4 223 51 3236 3243 3251 3258 3266 3273 3281 3289 3296 3304| 1 1223 52 3311 3319 3327 3334 3342 3350 3357 3365 3373 3381 3428 3436 3443 3451 3459 1 2 2 3 3388 3396 3401 3412 342 3467 3475 3483 3491 3499 3508 3516 3524 3532 3540 4 5 5 4 5 5 4 5 6 55 56 ·57 58 59 1223 3548 3556 356 3573 3581 3589 3597 3606 3614 3622 1 2 2 3 3631 3639 3648 3656 3664 3673 3681 3690 3698 3707 1 2 3 3 3715 3724 3733 3741 3750 3758 3767 3776 3784 3793 1 2 3 3 3802 3811 3819 3828 3837 3846 3855 3864 3873 3882 1 2 3890 3899 3908 3917 3926 3936 3945 3954 3963 3972 1 2 4 5 6 4 60 ·61 62 63 64 3981 399 3999 4009 4018 4027 4036 4046 4055 4064 1 4467 4477 4487 4498 4508 4519 4529 4539 4550 4560| .75 77 76 co co co co co 5623 5636 5649 5662 5675 5689 5702 5715 5728 5741 5754 5768 5781 5794 5808 5821 5831 5848 5861 5875 77 5888 5902 5916 5929 5943 5957 5970 5984 5998 6012 6026 6039 6053 6667 6081 6095 6109 6124 6138 6152 6166 618 6194 6209 6223 6237 6252 6266 6281 6295 1 3 .78 .79 80 35 631 6324 6339 6353 6368 6383 6397 6412 6427 6442 13 81 6457 6471 6486 6501 6516 6531 6546 6561 6577 6592 2 82 6607 6622 6637 6653 6668 6683 6699 6714 6730 6745 2 3 83 6761 6776 6792 6508 6823 6839 6855 6871 6887 6902 2 3 6918 6934 695v 6966 6982 6998 7015 7031 7047 7063 2 85 7079 7096 7112 7129 7145 7161 7178 7194 7211 7228 2 86 7244 7261 7278 7295 7311 7328 7345 7362 7379 7396 2 87 7413 7430 7447 7464 7482 7499 7516 7534 7551 7568 84 88 7586 7603 7621 7638 7656 7674 7691 7709 7727 7745 2 89 7762 7780 7798 7816 7834 7852 7870 7889 7907 7925 90 7943 7962 7980 7998 8017 8035 8054 8072 8091 8110 2 97 9333 9354 9376 9397 9419 914 9462 9484 9506 9528 98 9550 9572 9594 9616 9638 9661 9683 9705 9727 9750 7 8 6 7 8 916 78910 8 911 7 910 6 891011 6 891012 57891012 5 7 8 9 11 12 5 7 101112 6 7 8101113 67 911113 810 12 13 15 816121315) 911214 16 911121416 91113 14 16 7 911131517 911131517 81012141517 6 8 10 12 14 16 18 6 8 10 12 14 16 18 6 8 10 12 1517 19 6 81113151719 791113151720 47 9 11131618 2 99 9772 9795 9817 984 9863 9886 9908 9931 9954 9977 2 5 7 9 11141618 20 in the same line with the number already found, and under the given fourth figure. Example. What is the natural number answering to the logarithm 2:3587? Opposite to 35 and under 8, is the number 2250. To this add the proportional part 4, and we have 2284, or valuing by the characteristic, 228 4, as the natural number required. CIVIL SERVICE EXAMINATIONS. Instructions to Candidates for the appointment of Second-class Assistants of Excise.* 1. Every Candidate is required to present himself at the Office of the Civil Service Commission, (or, if in the country, at the Office of the Collector of Inland Revenue,) punctually at the time specified in his Order. 2. The examination will commence every morning at 10 a.m. and close at 5 p.m. (In the country, the hours are from 9 a.m. to 3 p.m.) An interval of about an hour will be allowed in the middle of the day. No Candidate should consider his examination concluded, unless expressly informed to that effect. 3. Each Candidate is required to sign his name every morning, before proceeding to his examination, in a book kept for that purpose. 4. Candidates will be permitted to leave the Examination Room, after having given up each Paper, before proceeding to the next; but no Candidate can be allowed to quit the room until he has given up the Paper on which he is engaged. 5. No Candidate will, on any account, be permitted to exceed the time allowed for each Paper. Candidates are warned to pay attention to any instructions on this subject which may appear on the Papers given to them. 6. Candidates are required to write their Answers on the paper which will be given to them, and to write their Names at the top of every sheet of paper which they use. 7. Any Candidate who is dissatisfied with the pens, ink, or paper, supplied to him, is requested to apply to one of the Examiners; but those who are accustomed to use any particular kind of pen are recommended to bring it with them. 8. Copy of Notice given to Candidates : "Cases having occurred in which Candidates, under examination, have been detected in attempting to use books and manuscripts which they had brought with them for their assistance, the Civil Service Commissioners think it right to give notice that they will regard any offence of this description, committed either in the Examination Room, or elsewhere, during the hours of examination, as affecting the moral character of the Candidate, and as rendering it necessary that his Certificate should be refused. "Any Candidate copying from the papers of another, or permitting his own papers to be copied, or receiving or giving assistance of any description, will expose himself to the same penalty." 9. Each Candidate is informed, by letter from this Office, of the result of his examinations, so soon as his case is disposed of. 10. The Commissioners usually return the Baptismal Certificates, &c., of Candidates who have failed in their examinations, and apply for those documents; but it must be understood that no Candidate is, under any circumstances, entitled to claim the return of any certificate deposited by him in their office, and that official forms are not, in any case, parted with. A printed copy of these instructions is forwarded to each nominee, as soon as satisfactory evidence has been procured relative to his age, character, &c. |