⚠Image is a monochrome scan of a printed table. Small interlinear annotations (glosses) are partially blurred and difficult to read consistently. The main grid of large characters is legible.

Imperial Mathematical Compendium Tables

Imperially Commissioned Tables of the Essence of Mathematical Harmony

The following table is a high-precision calculation tool from the Qing Dynasty. The large numbers are the primary entries (likely part of a logarithmic or trigonometric table), while the smaller numbers—represented here in tags—are "proportional parts." These allowed mathematicians of the imperial court to calculate values that fell between the main entries, providing accuracy essential for tracking celestial bodies or surveying land.

Column 8	Column 7	Column 6	Column 5	Column 4	Column 3	Column 2	Column 1
91100130357 3	910811222 41	910611221 41	910411221 41	910211221 41	910011221 41	909811221 41	909611221 41
91100230352 4	910812339 1	910612200 1	910412231 1	910212222 1	910012221 1	909812221 1	909612221 1
91100330347 5	910813163 52	910613203 31	910413203 31	910213212 31	910013233 31	909813233 31	909613221 31
91100430342 6	910814133 212	910614168 28	910414204 23	910214202 21	910014232 22	909814232 22	909614454 2
91100530337 5	910815122 5	9106159005 31	910415691 31	910215821 5	910015607 15	9098152935 31	909615805 3
91100630332 8	910816666 64	9106161433 31	9104163522 2	910216180 31	91001615103 3	909816138 63	90961630222 2
91100730327 9	910817191 19	910617106 79	910417204 89	910217287 29	9100172001 7	9098176669 2	909617512 17
91100830322 16	9108185663 16	9106187589 19	9104184992 29	9102183151 28	9100181153 19	9098182111 45	909618664 137
91100930317 31	910819314 29	9106195353 3	9104191330 7	9102194791 19	9100199379 19	9098199089 1	9096193223 23
---	---	---	---	---	---	---	---
91110030309 30	9109001181 5	910700220 90	910500152 150	9103001213 5	910100459 160	909900317 160	909700819 120
911101357 22	9109012001 3	910701333 21	910501102 83	9103011313 53	9101013553 23	9099014386 16	9097019091 16
911102222 31	910902851 1	910702212 23	910502192 21	910302399 23	9101023121 23	9099029099 94	909702972 19
911103251 31	910903283 15	910703101 51	910503903 51	9103039031 13	9101035001 1	90990318 14	9097033133 29
9111044551 2	9109042421 35	9107041091 43	91050411 53	9103043352 22	9101041013 193	9099044523 21	9097046998 23
9111051133 1	910905603 19	9107053621 25	910505121 1	910305555 15	910105545 15	9099051196 1	9097052321 95
911106232 31	910906433 19	9107062219 9	910506221 1	910306826 3	910106263 31	9099067583 31	9097062833 23
911107335 12	9109074021 21	9107074333 21	9105071511 106	910307145 125	9101073321 3	9099079932 29	9097079112 21
911108233 23	910908368 201	9107089009 21	910508822 123	9103081513 131	9101085331 4	909908516 123	9097083523 261
9111092131 31	9109091191 2	9107091899 99	9105092299 31	910309913 141	9101099101 1	909909345 321	90970979 41
---	---	---	---	---	---	---	---
911200512 120	911000310 50	9108002331 130	910600569 191	910400569 160	910200350 246	910000930 132	9098004339 20

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