1841.] 



Table of Proportional Logarithms. 



715 



reduce as above and divide by 3. Also for 12 hours, reduce to decimal 

 of hours and divide by 2 (for 24 hours divide by 4) ; the qualities 

 being thus brought into tenths of hours, col. N. will serve as before, 

 the arithmetical complement of the Tabular Log. being the Proportional 

 Log. of the usual sort, to which apply if need be, the proper index. 



R. S. 



1^ 



Proportional Logarithms for 10 minutes : as also 

 for 1 minute, or 1 degree, or 1 hour. 



u 



1 



Proportional Parts. 



1^ 



,„ 



N. 







1 



2 



3 



4 



6 



6 



7 



8 



9 



1 



2 



3 



I 



6 



6 



7 



S 



9 



.045 



100 



6 



oooo 



0072 



0142 



0212 



0280 



0348 



0414 



0479 



0544 



0607 



67 



7 13 



20 



27 



34 



40 



47 



54 



61 



.052 



10 



7 



0669 



0731 



0792 



0852 



0911 



0969 



1027 



1083 



1139 



1195 



58 



612 



18 



23 



29 



35 



41 



47 



53 



•058 



20 



8 



1249 



1303 



1357 



1409 



1461 



1513 



1563 



1614 



1663 



1712 



52 



5 10 



16 



21 



26 



31 



36 



41 



46 



■064 



30 



9 



1761 



1809 



1856 



1903 



1950 



1996 



2041 



2086 



2131 



2175 



46 



5 9 



14 



18 



23 



28 



32 



37 



42 



•069 



40 



10 



2218 



2262 



2304 



2347 



2389 



2430 



2472 



2512 



2553 



2593 



42 



4 8 



12 



17 



21 



25 



59 



33 



37 



•075 



50 



11 



2632 



2672 



2711 



2749 



2788 



2826 



2863 



2900 



2937 



2974 



38 



4 8 



11 



15 



19 



23 



27 



30 



34 



•080 



2^00 



12 



3010 



3046 



3072 



3118 



3153 



3188 



3222 



3257 



3291 



3324 



35 



3 



7 



10 



14 



17 



21 



24 



28 



31 



•085 



lo 



13 



3368 



3391 



3424 



3467 



3490 



3522 



3554 



3586 



3617 



3649 



32 



3 



6 



10 



13 



16 



20 



23 



27 



30 



•089 



20 



14 



3680 



3711 



3741 



3772 



3802 



3832 



3862 



3892 



3921 



3960 



SO 



3 



6 



9 



12 



15 



18 



21 



24 



27 



•094 



30 



15 



3979 



4008 



4037 



4065 



4094 



4122 



4150 



4177 



4205 



4232 



28 



3 



6 



8 



11 



14 



17 



20 



2.-^ 



25 



■098 



40 



16 



4260 



4287 



4314 



4340 



4367 



4393 



4420 



4446 



4472 



4497 



26 



3 



6 



8 



11 



13 



16 



19 



21 



24 



•102 



50 



17 



4523 



4548 



4574 



4599 



4624 



4649 



4674 



4698 



4723 



4747 



25 



3 



5 



7 



10 



12 



14 



17 



20 



22 



•105 



300 



18 



4771 



4795 



4819 



4843 



4867 



4890 



4914 



4937 



4960 



4983 



24 



2 





7 



10 



12 



14 



17 



19 



21 



•108 



10 



19 



5O06 



5029 



6051 



5074 



5097 



5119 



5141 



5163 



6185 



5207 



22 



2 





7 



9 



11 



13 



16 



18 



20 



•111 



20 



20 



5229 



5250 



5270 



5293 



6315 



5336 



5357 



5378 



5399 



5420 



21 



9 





6 



8 



U 



13 



15 



17 



19 



•114 



30 



21 



6441 



5461 



5482 



6502 



5523 



5543 



5563 



5583 



5603 



5623 



20 



2 





6 



8 



10 



12 



14 



16 



18 



•116 



40 



22 



5443 



5662 



5682 



5702 



5721 



5740 



5760 



5779 



5798 



5817 



19 



2 





6 



8 



10 



12 



14 



16 



17 



•118 



50 



23 



6836 



5855 



5873 



5892 



5911 



5929 



5948 



5966 



5984 



6002 



19 



2 





6 



8 



9 



11 



13 



15 



17 



•120 



400 



24 



6021 



6039 



6057 



6076 



6092 



6110 



6128 



6145 



6164 



6180 



18 



2 





5 



7 



9 



11 



12 



14 



16 



•122 



10 



25 



6198 



6216 



6232 



6260 



6267 



6284 



6301 



6318 



6335 



6351 



17 



2 



3 



5 



7 



9 



10 



12 



14 



15 



•123 



20 



26 



6368 



6385 



6402 



6418 



6435 



6451 



£467 



6484 



6500 



0516 



16 



2 



3 



6 



7 



8 



10 



12 



]3 



15 



.124 



30 



27 



6532 



6548 



6564 



6580 



6596 



6612 



6628 



6643 



0659 



6675 



16 



2 



3 



5 



6 



8 



10 



U 



13 



14 



.124 



40 



28 



6690 



6706 



6721 



6736 



6752 



6767 



6782 



6797 



6812 



6827 



15 



2 



3 



5 



6 



8 



9 



11 



12 



14 



.125 



50 



29 



6842 



6857 



6872 



6887 



6902 



6917 



6931 



6946 



6961 



t975 



15 





3 





6 



7 



9 



10 



12 



13 



.125 



5^00 



30 



6990 



7004 



7019 



7033 



7047 



7061 



7076 



7090 



7104 



7118 



14 





3 





6 



7 



8 



10 



11 



13 



.125 



10 



31 



7132 



7146 



7160 



7174 



7188 



7202 



7215 



7229 



7243 



7260 



14 





3 





5 



7 



8 



9 



11 



12 



•124 



20 



32 



7270 



7284 



7297 



7311 



7324 



7237 



7351 



7364 



7377 



7S90 



13 





3 





5 



7 



8 



9 



u 



12 



.124 



30 



33 



7404 



7417 



7430 



7443 



7456 



7469 



7482 



7495 



7508 



7620 



13 



1 



3 





5 



7 



8 



9 



10 



12 



.123 



40 



34 



7533 



7646 



7559 



7671 



7584 



7597 



7609 



7622 



7634 



7647 



13 





3 





5 



6 



8 



9 



10 



U 



•122 



50 



35 



7669 



7672 



7684 



7696 



7709 



7721 



7733 



7745 



7757 



7769 



12 





2 





5 



6 





9 



10 



ll 



• 120 



600 



36 



7782 



7794 



7806 



7818 



7830 



7841 



7853 



7865 



7877 



7889 



12 





2 





5 



6 





8 



10 



ll 



.118 



10 



37 



7901 



7912 



7924 



7936 



7947 



7959 



7970 



7982 



7993 



8005 



12 





2 



3 



5 



6 





8 



9 



lO 



.116 



20 



38 



8016 



8028 



80S9 



8050 



8062 



8073 



8084 



8096 



8107 



8118 



11 





2 



3 





6 





8 



9i0 



114 



30 



39 



8129 



8140 



8161 



8162 



8173 



8184 



8195 



8206 



8217 



8228 



n 





2 



3 



4 



6 





8 



9 



lO 



.111 



40 



40 



8239 



8250 



8261 



8272 



8282 



8293 



8304 



8314 



8326 



8336 



11 





2 



3 



4 



5 



6 



8 



9 



lO 



.108 



50 



41 



8346 



8367 



8367 



8378 



8388 



8399 



8409 



8420 



8430 



8441 



10 





2 



3 



4 



5 



6 





8 



9 



■105 



700 



42 



8461 



8461 



8472 



8482 



8492 



8502 



8513 



8523 



8533 



8543 



10 







3 



4 



5 



6 





8 



y 



•102 



10 



43 



8653 



8563 



8573 



8683 



8593 



8603 



8613 



1623 



8633 



8643 



10 





2 



3 



4 



5 



6 





8 



f) 



•098 



20 



44 



8653 



8663 



8673 



8683 



8692 



8702 



8712 



8722 



8731 



8741 



10 





2 



3 



4 



6 



6 





8 



9 



.094 



30 



45 



8751 



8760 



8770 



8779 



8789 



8799 



8808 



8818 



8827 



8837 



10 





2 



3 



4 



5 



6 





8 



8 



•089 



40 



46 



8846 



8855 



8865 



8874 



8884 



8893 



8902 



8912 



8921 



8930 



9 





2 



3 



4 



5 



6 





7 



8 



•085 



50 



47 



8939 



8949 



f^958 



8967 



8976 



8985 



8995 



9004 



9013 



9022 



9 





2 



3 



4 



5 



5 



6 



7 



8 



•080 



800 



48 



9031 



9040 



9049 



9058 



9067 



9076 



9085 



9094 



9103 



9112 



9 





2 



3 



4 



4 



5 



6 



7 



8 



.075 



10 



49 



9120 



2129 



9138 



9147 



9156 



9165 



9173 



9182 



9191 



9199 



9 





2 



3 



4 



4 



5 



6 



7 



8 



•069 



20 



50 



9208 



9217 



9226 



9234 



9243 



9261 



9260 



9269 



9277 



9286 



9 





2 



3 



3 



4 



5 



6 



7 



8 



•064 



30 



51 



9294 



9303 



9311 



9320 



9328 



9337 



9345 



9353 



9362 



9370 



8 





2 



3 



3 



4 



5 



6 



7 





•058 



40 



52 



9379 



9387 



9395 



9404 



9412 



9420 



9428 



9437 



9445 



9453 



8 





2 



2 



3 



4 



5 



6 



7 





•052 



50 



63 



9461 



9469 



9478 



9486 



9494 



9502 



9510 



9518 



9526 



9534 



8 





2 



2 



3 



4 



5 



6 



7 





•045 



900 



54 



9542 



9660 



9358 



9566 



9574 



9682 



9590 



9598 



9606 



9614 



8 





2 



2 



3 



4 



5 



6 



6 





•038 



10 



65 



9622 



9630 



9638 



9646 



9654 



9661 



9669 



9677 



9685 



9693 



8 





2 



2 



3 



4 



5 



5 



6 





•031 



20 



56 



9700 



9708 



9716 



9724 



9731 



9739 



9747 



9754 



9762 



9770 



8 





2 



2 



3 



4 



5 



5 



6 





•024 



30 



57 



9777 



9786 



9792 



9800 



9808 



9815 



9823 



9830 



9838 



9845 



8 





2 



2 



3 



4 



5 



5 



6 





•016 



40 



68 



9853 



9860 



9868 



9875 



9883 



9890 



9897 



9905 



9912 



9920 



7 





1 



2 



3 



4 



4 



5 



6 





•008 



50 



69 



9927 



9934 



9942 



9949 



9956 



9964 



9971 



9978 



9985 



9993 



7 





1 



2 



3 



4 



4 



5 



6 





