⚠The manuscript contains dense tabular data with very small interlinear glosses that are slightly faint in places.

Imperially Commissioned Complete Library of the Four Treasuries: Volume 4, Part 5

This page contains a highly structured table of mathematical products. The large numbers in each cell (beginning with 91...) serve as index markers. The interlinear glosses below them contain two calculated values: the top number is the result of the multiplier times 13,063, and the bottom number is the result of the multiplier times 453. Such tables were essential for Qing dynasty mathematicians to perform complex long-form calculations without repeating basic multiplication steps.

91581	91561	91541	91521	91501	91481	91461	91441
1841883 63873	1580623 54813	1319363 45753	1058103 36693	796843 27633	535583 18573	274323 9513	13063 453
91582	91562	91542	91522	91502	91482	91462	91442
1854946 64326	1593686 55266	1332426 46206	1071166 37146	809906 28086	548646 19026	287386 9966	26126 906
91583	91563	91543	91523	91503	91483	91463	91443
1868009 64779	1606749 55719	1345489 46659	1084229 37599	822969 28539	561709 19479	300449 10419	39189 1359
91584	91564	91544	91524	91504	91484	91464	91444
1881072 65232	1619812 56172	1358552 47112	1097292 38052	836032 28992	574772 19932	313512 10872	52252 1812
91585	91565	91545	91525	91505	91485	91465	91445
1894135 65685	1632875 56625	1371615 47565	1110355 38505	849095 29665	587835 20385	326575 11325	65315 2265
91586	91566	91546	91526	91506	91486	91466	91446
1907198 66138	1645938 57078	1384678 48018	1123418 38958	862158 29898	600898 20838	339638 11778	78378 2718
91587	91567	91547	91527	91507	91487	91467	91447
1920261 66591	1658947 57531	1397741 48471	1136481 39411	875221 30351	613961 21291	352701 12231	91441 3171
91588	91568	91548	91528	91508	91488	91468	91448
1933324 67044	1672064 57984	1410804 48924	1149544 39864	888284 30804	627024 21744	365764 12684	104504 3624
91589	91569	91549	91529	91509	91489	91469	91449
1946387 67497	1685127 58437	1423867 49377	1162607 40317	901347 31257	640087 22197	378827 13137	117567 4077
91590	91570	91550	91530	91510	91490	91470	91450
1959450 67950	1698190 58890	1436930 49830	1175670 40770	914410 31710	653150 22650	391890 13590	130630 4530
---	---	---	---	---	---	---	---
91591	91571	91551	91531	91511	91491	91471	91451
1972513 68403	1711253 59343	1449993 50283	1188733 41223	927473 32163	666213 23103	404953 14043	143693 4983
91592	91572	91552	91532	91512	91492	91472	91452
1985576 68856	1724316 59796	1463056 50736	1201796 41676	940536 32616	679276 23556	418016 14496	156756 5436
91593	91573	91553	91533	91513	91493	91473	91453
1998639 69309	1737379 60259	1476119 51189	1214859 42129	953599 33069	692339 24019	431079 14949	169819 5889
91594	91574	91554	91534	91514	91494	91474	91454
2011702 69762	1750442 60712	1489182 51642	1227922 42582	966662 33522	705402 24462	444142 15402	182882 6342
91595	91575	91555	91535	91515	91495	91475	91455
2024765 70215	1763505 61165	1502245 52095	1240985 43035	979725 33975	718465 24915	457205 15855	195945 6795
91596	91576	91556	91536	91516	91496	91476	91456
2037828 70668	1776568 61618	1515308 52548	1254048 43488	992788 34428	731528 25368	470268 16308	208988 7248
91597	91577	91557	91537	91517	91497	91477	91457
2050891 71121	1789631 62071	1528371 52991	1267一一一 43941	1005851 34881	744591 25821	483331 16751	222051 7701
91598	91578	91558	91538	91518	91498	91478	91458
2063954 71574	1802694 62524	1541434 53434	1280174 44394	1018914 35334	757654 26274	496394 17194	235114 8154
91599	91579	91559	91539	91519	91499	91479	91459
2077017 72027	1815757 62977	1554497 53877	1293237 44847	1031977 35787	770717 26727	509457 17637	248177 8607
91600	91580	91560	91540	91520	91500	91480	91460
2089880 72480	1828820 63420	1567560 54360	1306300 45300	1045040 36240	783780 27180	522520 18120	261260 9060