1881.] computing Natural and Tabular Logarithms, fye. 389 



2. For Preparation. 



No. 



Natural Logarithm. 



1 



1 



0-095 



310 



179 



804 



324 



869 



1 



2 



0-182 



321 



556 



793 



954 



626 



1 



3 



-262 



364 



264 



467 



491 



052 



1 



4 



- 336 



472 



236 



621 



212 



931 



1 



■5 



0-405 



465 



108 



108 



164 



382 



1 



•6 



0-470 



003 



629 



245 



735 



554 



1 





0-530 



628 



251 



062 



170 



396 



1 



•8 



0-587 



786 



664 



902 



119 



008 



1 





0-641 



853 



886 



172 



394 



776 



2 



•0 



0-693 



147 



180 



559 



945 



309 



3 



■o 



1-098 



612 



288 



668 



109 



691 



4 



•o 



1 -386 



294 



361 



119 



890 



619 



5 



•o 



1-609 



437 



912 



434 



100 



375 



6 



•o 



1-791 



759 



469 



228 



055 



001 





•o 



1 -945 



910 



149 



055 



313 



3C5 



8 



•o 



2-079 



441 



541 



679 



835 



928 



9 



•o 



2-197 



224 



577 



336 



219 



383 



10 



•o 



2-302 



585 



092 



994 



045 



684 



11 



•0 



2 -397 



895 



272 



798 



370 



544 



12 



•o 



2-484 



906 



649 



788 



000 



310 



3. Multiples ofnat. log 10. 



No. of ) 

 mult. 



Natural Logarithm. 



1 





302 



585 



092 



994 



045 



684 



2 



4-605 



170 



185 



988 



091 



368 



3 



6 



907 



755 



278 



982 



137 



052 



4 



9 



210 



340 



371 



916 



182 



736 



5 



11 



•512 



925 



464 



970 



228 



420 



6 



13 



•815 



510 



557 



964 



274 



104 



7 



16 



•118 



095 



650 



958 



319 



788 



8 



18 -420 



680 



743 



852 



365 



472 



9 



20 



•723 



265 



836 



946 



411 



156 



10 



23 



•025 



850 



929 



940 



456 



840 



11 



25 



•328 



436 



022 



934 



502 



524 



12 



27 



•631 



021 



115 



928 



548 



208 



13 



29 



•933 



606 



208 



922 



593 



892 



14 



32 



-236 



191 



301 



916 



639 



576 



15 



34 



•538 



776 



394 



910 



685 



260 



16 



36 



•841 



361 



487 



904 



730 



944 



4. For no Corrections. 



For Difference, 

 or Quotient, 



•0„100 

 •0,;493 

 •0..229 

 •0,106 

 •0 4 493 

 •0 4 229 

 •0,106 

 •0,193 



Trust places, uncorrected. 



And one place 

 more in each case 

 with a probable 

 error in it of one 

 unit in defect. 



For intermediate quotients trust the 

 number of places opposite the next 

 graater in the above table. 



For Difference, 

 or Quotient, 



Trust in result places, 



•0.,100 



14 And one place more in each 



•0^894 



15 case with a probable error in it 



•0,284 



16 of one unit in defect. 



•0,100 



17 



•0,894 



18 



For intermediate quotients trust the numher of 

 places opposite the next greater. 



5. For Full Corrections, Additive. 



Take six significant figures of the quotient, and 

 use six significant figures of the cor. from this 

 formula — 



tab. log cor. = 3 tab. log quotient + -920 8188-2. 

 Trust all the places thus corrected, that is — 



6. For Short Corrections, Additive, giving twelve places. 



Work to thirteen places. Possible error on "com- 

 pletion" one unit in the twelfth place. For interme- 

 diate quotients use the correction opposite the next 

 less. 



Quotnt. 



Cor. 



Quotnt. 



Cor. 



Quotnt. 



Cor. 



•0,000 

 182 

 262 

 311 

 348 



•0 lo 00 

 1 

 2 

 3 

 4 



•0 3 707 

 715 

 723 

 731 

 738 



•0 lo 30 

 31 

 32 

 33 

 34 



•0 3 894 

 899 

 904 

 909 

 913 



•0 lo 60 

 61 

 62 

 63 

 64 



•0 3 378 

 404 

 427 

 448 

 467 



•0 lo 05 

 6 

 7 

 8 

 9 



•0 3 745 

 752 

 759 

 766 

 773 



•O 10 35 

 36 

 37 

 38 

 39 



•0 3 918 

 923 

 928 

 932 

 937 



•O 10 65 

 66 

 67 

 68 

 69 



•0 3 485 

 501 

 517 

 531 

 545 



•0 lo 10 

 11 

 12 

 13 

 14 



•0 3 780 

 786 

 792 

 798 

 805 



•0 lo 40 

 41 

 42 

 43 

 44 



•0 3 941 

 946 

 950 

 952 

 959 



•0 lo 70 

 71 

 72 

 73 

 74 



•0 S 558 

 571 

 583 

 594 

 606 



•O 10 15 

 16 

 17 

 18 

 19 



•0 3 811 

 817 



823 

 829 

 835 



•0 lo 45 

 46 

 47 

 48 

 49 



•0 3 963 

 968 

 972 

 976 

 980 



•O 10 75 

 76 

 77 

 78 

 79 



•0 3 fil6 

 627 

 637 

 646 

 656 



•0 lo 20 

 21 

 22 

 23 

 24 



•0 3 841 

 846 

 852 

 857 

 863 



•0 lo 50 

 51 



52 

 53 

 54 



•0 3 984 



989 

 993 

 997 



•0 lo 80 

 81 

 82 

 83 



•0 3 665 

 674 

 683 

 691 

 699 



■O 10 25 

 26 

 27 

 28 

 29 



•0 3 868 

 873 

 879 

 884 

 889 



•0 lo 55 

 56 

 57 

 58 

 59 







