Imperial Collection of Mathematical Essentials, Vol. 3 (1723) - Page 23

Imperial Edition of the Complete Library in the Four Branches of Literature original: 欽定四庫全書 Imperially Composed Tables of the Essence of Mathematical Principles, Final Volume

Number	Char.	Mantissa Part 1	Mantissa Part 2	Difference
21801	4	33847	64449
21802		33847	84363	19914
21803		33848	04276	19913
21804		33848	24189	19913
21805		33848	44101	19912
21806		33848	64013	19912
21807		33848	83924	19911
21808		33849	03835	19911
21809		33849	23745	19910
21810		33849	43655	19910
21811		33849	63564	19909
21812		33849	83473	19909
21813		33850	03382	19908
21814		33850	23290	19908
21815		33850	43198	19907
21816		33850	63105	19907
21817		33850	83011	19906
21818		33851	02917	19906
21819		33851	22823	19905
21820		33851	42728	19905
21821		33851	62633	19904
21822		33851	82537	19904
21823		33852	02441	19903
21824		33852	22344	19903
21825		33852	42247	19902
21826		33852	62149	19902
21827		33852	82051	19901
21828		33853	01952	19901
21829		33853	21853	19900
21830		33853	41753	19900
21831		33853	61653	19899
21832		33853	81552	19899
21833		33854	01451	19898
21834		33854	21349	19898
21835		33854	41247	19897
21836		33854	61144	19897
21837		33854	81041	19896
21838		33855	00937	19896
21839		33855	20833	19895
21840		33855	40728	19895
21841		33855	60623	19894
21842		33855	80517	19894
21843		33856	00411	19893
21844		33856	20304	19893
21845		33856	40197	19892
21846		33856	60089	19892
21847		33856	79981	19891
21848		33856	99872	19891
21849		33857	19763	19890
21850		33945	04902	19890

Number	Char.	Mantissa Part 1	Mantissa Part 2	Difference
21851	4	33945	24774	19872
21852		33945	44646	19872
21853		33945	64518	19871
21854		33945	84389	19871
21855		33946	04260	19870
21856		33946	24130	19870
21857		33946	43999	19869
21858		33946	63868	19869
21859		33946	83737	19868
21860		33947	03605	19868
21861		33947	23473	19867
21862		33947	43340	19867
21863		33947	63207	19866
21864		33947	83073	19866
21865		33948	02939	19865
21866		33948	22804	19865
21867		33948	42669	19864
21868		33948	62533	19864
21869		33948	82397	19863
21870		33949	02260	19863
21871		33949	22123	19862
21872		33949	41985	19862
21873		33949	61847	19861
21874		33949	81708	19861
21875		33950	01569	19860
21876		33950	21429	19860
21877		33950	41289	19859
21878		33950	61148	19859
21879		33950	81007	19858
21880		33951	00865	19858
21881		33951	20723	19857
21882		33951	40580	19857
21883		33951	60437	19856
21884		33951	80293	19856
21885		33952	00149	19855
21886		33952	20004	19855
21887		33952	39859	19854
21888		33952	59713	19854
21889		33952	79567	19853
21890		33952	99420	19853
21891		33953	19273	19852
+

| 21892 | | 33953 | 39125 | 19852 |
| 21893 | | 33953 | 58977 | 19851 |
| 21894 | | 33953 | 78828 | 19851 |
| 21895 | | 33953 | 98679 | 19850 |
| 21896 | | 33954 | 18529 | 19850 |
| 21897 | | 33954 | 38379 | 19849 |
| 21898 | | 33954 | 58228 | 19849 |
| 21899 | | 33954 | 78077 | 19848 |
| 21900 | | 33954 | 97925 | 19848 |

The tables are organized to provide a ten-decimal-place mantissa for common logarithms. The "Char." (Characteristic) of 4 indicates that these numbers are in the range of 10,000 to 99,999. The "Difference" column on the right allows the user to calculate logarithms for numbers with more than five digits through linear interpolation. Note that the Chinese character "○" is used as the numeral zero.