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English
Imperially
Commissioned
Tables of the
Collected Essence of
Mathematical
Principles
Imperially Commissioned Tables of the Collected Essence of Mathematical Principles
The following tables are a historical equivalent to a modern scientific calculator's reference data. Each large five-digit number is the "argument" (the number being calculated), and the smaller numbers below it in the tags represent the fractional parts of its logarithm (the mantissa) and the difference between consecutive values, used for high-precision astronomy and engineering during the Qing dynasty.
| 92701 | 92681 | 92661 | 92641 | 92621 | 92601 | 92581 | 92561 |
|---|---|---|---|---|---|---|---|
| 92701 21031 1 | 92681 21125 2 | 92661 21219 2 | 92641 21312 1 | 92621 21406 1 | 92601 21499 1 | 92581 21593 1 | 92561 21687 1 |
| 92702 21026 1 | 92682 21120 2 | 92662 21214 2 | 92642 21308 1 | 92622 21401 1 | 92602 21495 1 | 92582 21588 1 | 92562 21682 1 |
| 92703 21022 1 | 92683 21115 2 | 92663 21209 2 | 92643 21303 1 | 92623 21396 1 | 92603 21490 1 | 92583 21583 1 | 92563 21677 1 |
| 92704 21017 2 | 92684 21110 1 | 92664 21205 1 | 92644 21298 1 | 92624 21392 1 | 92604 21485 1 | 92584 21579 1 | 92564 21673 1 |
| 92705 21012 1 | 92685 21106 1 | 92665 21200 1 | 92645 21293 1 | 92625 21387 1 | 92605 21481 1 | 92585 21574 1 | 92565 21668 1 |
| 92706 21008 1 | 92686 21101 1 | 92666 21195 1 | 92646 21289 1 | 92626 21382 1 | 92606 21476 1 | 92586 21569 1 | 92566 21663 1 |
| 92707 21003 1 | 92687 21096 1 | 92667 21191 1 | 92647 21284 1 | 92627 21378 1 | 92607 21471 1 | 92587 21565 1 | 92567 21658 1 |
| 92708 20998 1 | 92688 21091 1 | 92668 21186 1 | 92648 21279 1 | 92628 21373 1 | 92608 21467 1 | 92588 21560 1 | 92568 21654 1 |
| 92709 20994 1 | 92689 21087 1 | 92669 21181 1 | 92649 21275 1 | 92629 21368 1 | 92609 21462 1 | 92589 21555 1 | 92569 21649 1 |
| 10 | 92710 20989 1 | 92690 21082 1 | 92670 21177 1 | 92650 21270 1 | 92630 21364 1 | 92610 21457 1 | 92590 21551 1 |
| 92711
20985
1 | 92691
21077
1 | 92671
21172
1 | 92651
21265
1 | 92631
21359
1 | 92611
21453
1 | 92591
21546
1 | 92571
21639
1 |
| 92712
20980
1 | 92692
21073
1 | 92672
21167
1 | 92652
21261
1 | 92632
21354
1 | 92612
21448
1 | 92592
21541
1 | 92572
21635
1 |
| 92713
20975
1 | 92693
21068
1 | 92673
21163
1 | 92653
21256
1 | 92633
21350
1 | 92613
21443
1 | 92593
21537
1 | 92573
21630
1 |
| 92714
20971
1 | 92694
21063
1 | 92674
21158
1 | 92654
21251
1 | 92634
21345
1 | 92614
21439
1 | 92594
21532
1 | 92574
21625
1 |
| 92715
20966
1 | 92695
21059
1 | 92675
21153
1 | 92655
21247
1 | 92635
21340
1 | 92615
21434
1 | 92595
21528
1 | 92575
21620
1 |
| 92716
20962
1 | 92696
21054
1 | 92676
21149
1 | 92656
21242
1 | 92636
21336
1 | 92616
21430
1 | 92596
21523
1 | 92576
21616
1 |
| 92717
20957
1 | 92697
21049
1 | 92677
21144
1 | 92657
21237
1 | 92637
21331
1 | 92617
21425
1 | 92597
21518
1 | 92577
21611
1 |
| 92718
20953
1 | 92698
21045
1 | 92678
21140
1 | 92658
21233
1 | 92638
21326
1 | 92618
21420
1 | 92598
21514
1 | 92578
21606
1 |
| 92719
20948
1 | 92699
21040
1 | 92679
21135
1 | 92659
21228
1 | 92639
21322
1 | 92619
21416
1 | 92599
21509
1 | 92579
21602
1 |
| 92720
20943
1 | 92700
21036
1 | 92680
21131
1 | 92660
21223
1 | 92640
21317
1 | 92620
21411
1 | 92600
21505
1 | 92580
21597
1 |
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