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CT 09, pl. 08-13, BM 085194 (P274707)

Mathematical, Old Babylonian, Sippar · c. 1900 BCE–1600 BCE

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DesignationCT 09, pl. 08-13, BM 085194
IDP274707
Museum no.BM 085194
CollectionBritish Museum, London, UK
LanguageSumerian
PeriodOld Babylonian · c. 1900 BCE–1600 BCE
GenreMathematical
Find spotSippar
Coordinates33.0592, 44.2538

Transliteration (ATF)

From Open Richly Annotated Cuneiform Corpus (ORACC) · CC BY-SA 3.0 (ORACC default); per-file JSON license fields say: This data is released under the CC0 license (133618)

Machine draft. The right-hand column is machine English from ixmon/atf-to-english (atf-en-t5base-F, 2026-10-17), generated line by line from the transliteration. It is unreviewed and is not a scholarly translation.

LineATFMachine English (draft)
o i
1a-ra-am-mu-um 1 NINDA DAGAL KI.TA 30 NINDA mu-hi 4 SUKUDAramum: 1 rod, the lower width, 30 rods, the height 4 (rods).
2i-na UR₂ SAHAR-HI.A 1.30 DAGAL KI.TA 1 NINDA DAGAL AN.NA 6 SUKUDFrom the surface of the earth, the lower width is 1;30 rods, the upper width 1 rod, the height 6 rods.
3i-na pa-ni a-bu-li-im SAHAR-HI.A EN.NAM a-na 1 LU₂What is the earth for 1 man?
4US₂ pu-lu-uk ZA.E 1.30 u₃ 1 UL.GAR 2.30 ta-marYou: sum 1;30 and 1. You will see 2;30.
51/2 2.30 he-pe₂ 1.15 GAR.RA 1 u₃ 30 UL.GAR 1.30 ta-marBreak 1/2 of 2;30. Put down 1;15. Sum 1 and 30. You will see 0;01 30.
61/2 1.30 he-pe₂ 45 GAR.RA 1.15 u₃ 45 UL.GAR 2 ta-marBreak 1/2 of 1;30. Put down 45. You will see 1;15 and 45.
71/2-šu 1 ta-mar GAR.RA 6 SUKUD u₃ 4 SUKUD UR₂ SAHAR-HI.AYou will see 1/2 of 1. Put down 0;06, the height, and 4, the height of the surface.
8UL.GAR 10 ta-mar 1/2-šu he-pe₂ 5 ta-mar 10 US₂ a-na 5 i-šiSolve the reciprocal of 0;10. Break off 1/2 of it. You will see 5. Multiply 10 00, the length, by 5.
950 ta-mar SAHAR-HI.A IGI 10 EŠ₂.GAR₃ DU₈.A 6 ta-mar 50 SAHAR-HI.AYou will see 50. Solve the reciprocal of 0;10, the dividing line. [You will see] 6. The volume is 50.
10a-na 6 i-ši 5 ta-mar ERIN₂-MEŠ IGI ERIN₂-MEŠ DU₈.A 12 ta-marMultiply by 6. You will see 0;05. Look at the troops. You will observe 12 (groups).
1112 a-na 10 US₂ i-ši 2 ta-mar 2 1 LU₂ i-ṣa-ba-atMultiply 0;12 by 10, the length. You will see 2. The man will weigh out 1 man.
12ki-a-am ne-pe₂-šumThus the procedure
13ki-ku₈-ru-⸢um⸣ 30 US₂ 20 SAG i-na 10-TA.AM₃ im-ta-harThe length is 30 (rods), the width 20 (cubits). It squares itself off ten times.
14i-na ki-im-ṣi₂-im 3 KUŠ₃ BUR₃ SAHAR-HI.A <EN.NAM> a-na 1 LU₂At the same time, the depth is 3 cubits, the volume for 1 man.
15US₂ pu-lu-uk ZA.E 10 NIGIN 1.40 ta-mar 1.40 a-naYou: square 0;10, the dividing line. You will see 1;40. Multiply [1;40] by [0;20].
163 KUŠ₃ BUR₃ i-ši 5 ta-mar SAHAR-HI.A ki-im-ṣi₂-imThe depth is 3 cubits. You will see 0;05. The volume is the same.
17NIGIN₂.NA SAHAR-HI.A <US₂> a-mur 20 <US₂> a-na 10 SAG <i-ši> 3.20 ta-marYou will see the volume. Multiply 0;20 by 10, the width, and you will see 3;20.
183.20 a-na 3 KUŠ₃ BUR₃ i-ši 10 ta-mar 10 SAHAR-HI.A US₂Multiply 3;20 by 3 cubits, the depth. You will see 0;10. The volume is 10.
1910 SAHAR-HI.A 5 u₃ 5 SAHAR-HI.A UL.GAR 20 ta-marYou will see 0;20.
20SAHAR-HI.A IGI 10 EŠ₂.GAR₃ DU₈.A 6 ta-mar 20 a-na 6 i-šiSolve the reciprocal of 10. You will see 6. Multiply 20 by 6.
212 ta-mar 2 US₂ 1 LU₂ i-ṣa-ba-atYou will see 2. The length is 2. The man will weigh out 1 man.
22ki-a-am ne-pe₂-šumThus the procedure
23⸢ki-ku₈⸣-ru-um 30 US₂ 20 SAG 3 KUŠ₃ BUR₃ i-na 1/230 lengths 20 widths, the depth 3 cubits.
24⸢U₄⸣ <a-na> 1 LU₂⸣ US₂ pu-lu-uk ZA.E 10 NIGIN 1.40 ta-marYou: square 0;10, the dividing line. You will see 1;40.
251.40 a-na 3 KUŠ₃] BUR₃ i-ši 5 ta-mar SAHAR-HI.A NIGIN₂.NA SAHAR-HI.AMultiply 1;40 by 3 cubits, the depth. You will see 0;05. Total volume.
26ki-im-ṣi₂-im ša-ni-im a-mur 10 NIGIN 1.40 a-na 3 KUŠ₃Look at the reciprocal of 0;10, the dividing line. 1;40 by 3 cubits
27i-ši 5 ta-mar SAHAR-HI.A ša-ni-im 20 US₂ a-naYou will see 0;05. That earth, 20 lengths to
2810 SAG i-ši 3.20 ta-mar 3.20 a-na 3 KUŠ₃ BUR₃ i-šiMultiply 0;10, the width, by 3;20, the depth.
293.20 a-na 3 KUŠ₃ BUR₃ i-ši 10 ta-mar SAHAR-HI.A NIGIN₂.NA i-na 1/2Multiply 3;20 by 3 cubits, the depth. You will see 0;10. The volume is enclosed. In 1/2
30<U₄> a-na 1 LU₂ US₂ pu-lu-uk 1/2 5 SAHAR-HI.A he-pe₂ 2.30 ta-marMultiply <day> by 1 man, the length. Break in half 0;05, the volume. You will see 2;30.
31IGI 10 EŠ₂.GAR₃ DU₈.A 6 ta-mar 2.30 a-na 6 i-ši 15 ta-marSolve the reciprocal of 0;10. You will see 6. Multiply 2;30 by 6 00. [You will see] 15.
3215 ERIN₂-MEŠ IGI 15 DU₈.A 4 ta-mar 10 a-na 4Solve the reciprocal of 0;15. You will see 4. Multiply 10 by 4.
33i-ši 40 ta-mar 40 a-na 1 LU₂ US₂ ta-pa-la-akMultiply 0;40 by 1 man, the length.
34⸢NIGIN₂.NA⸣ 10 EŠ₂.GAR₃ a-mur 1/2 10 he-pe₂ 5 ta-mar 40 a-na 5 i-šiYou will see 0;10. Solve the reciprocal of 1/2 00. Break off half of 10. [You will see 5]. Multiply 40 by 5. It squares itself.
353.20 ta-mar 3.20 a-na 3 KUŠ₃ BUR₃ i-ši 10 ta-mar EŠ₂.GAR₃Multiply 3;20 by 3 cubits, the depth. You will see 0;10. The procedure.
36ki-a-am ne-pe₂-šumThus the procedure
37IRI{ki} 1 ŠU GUR₂ ak-pu-upCity: 1 talent of kiln-fired bricks
385-TA.AM₃ it-te-ṣi₂-mait amounted to 5 each, and
39hi-ri-tam ab-ni 6 GAMI have strewn a censer. 6 lines.
401.07.30 SAHAR-HI.A BA.ZI0;01 07 30, the volume, was removed.
415-TA.AM₃ <it-te-ṣi> 10 SAG hi-ri-timIt amounted to 5 each. 0;10, the width of a circle.
42E ab-ni E šu-u₂“Hand of a cow, Ḫābû-šumu-iddin
43i-na 1 KUŠ₃ 1 KUŠ₃ ŠA₃.GAL(measured) by the 1 cubit, the width
44sa₃-sum₂ mu-hu-um u₃ DAGAL EN.NAM u₃ GUR₂ E EN.NAMWhat are the width and breadth, and how much is the ...?
45ZA.E i-nu-ma 1 ŠU GUR₂ DAL EN.NAM IGI 3-GAL₂ 1 ŠU GUR₂ BA.ZIYou: when 1 talent of kukru is wide, what is the reciprocal of 3? It is reduced to 1 talent.
4620 ta-mar 20 DAL 5 di-ik-ša-am TAB.BA 10 ta-marYou will see 0;20. The square-side is [0;05]. The depth is 10. You (ll see) 10.
4710 a-na 20 DAL DAH.HA 30 ta-mar DAL šu-li-išMultiply 0;10 by 20, the width. You will see 30, the length.
481.30 ta-mar 1.30 GUR₂ ša hi-ri-timYou will see 1;30. 0;01 30, the dividing line of a square.
49NIGIN₂.NA 1.30 NIGIN 2.15 ta-mar 2.15 a-na 5 GUR₂Take away 1;30. You will see 2;15. Multiply [2;15] by 0;05.
50i-ši 11.15 ta-mar KI 11.15 a-na 6 GAM i-ši 1.07.30 SAHAR-HI.A>Multiply 0;11 15 by 6. The volume is 1 07 30.
o ii
1IGI 10 EŠ₂.GAR₃ DU₈.A 6 ta-mar 6 a-na 1.07.30 SAHAR-HI.ASolve the reciprocal of 0;10. You will see 6. Multiply 6 by 1 07 30, the volume.
2i-ši 6.45 ta-mar 6.45 ERIN₂-MEŠ IGI 6.45 DU₈.AYou will see 0;06 45. Solve the reciprocal of 6 45.
38.53.20 ta-mar 8.53.20 a-na 1.30 GUR₂ i-šiYou will see 0;08 53 20. Multiply 8 53 20 by 1;30, the depth.
413.20 ta-mar i-na hi-ri-tim uš-ta-pa-la-akYou will see 0;13 20. It goes around in the street.
5NIGIN₂.NA 10 EŠ₂.GAR₃ a-mur IGI 1.30 GUR₂ DU₈.A 40 ta-mar 40 a-na 13.20Return. Look at 0;10, the work rate. Solve the reciprocal of 1;30, the dividing line. You will see 40. Multiply 40 by 13;20.
6i-ši 8.53.20 ta-mar 8.53.20 a-na 1.07.30 SAHAR-HI.AMultiply 0;08 53 20 by 1 07 30, the volume.
7i-ši 10 ta-mar EŠ₂.GAR₃ NIGIN₂.NA E a-mur 5 ŠA₃.GAL TAB.BA 10 ta-marYou will see 0;10. Find the reciprocal of a neširšu-commentary.
810 TAB.BA 20 ta-mar 20 a-na 1.07.30 i-ši 22.30You will see 10. Multiply 0;20 by 1 07 30. It is 22 30.
9ta-mar EN.NAM a-na 22.30 DAH.HA IB₂.SI₈(TAG₄) li-pu-<ul>What should I add to 22;30? Let him build a square-side.
10u₃ ša DAH.HA IB₂.SI₈ li-pu-ul 5.03.45 DAH.HAAnd subtract what you added from the square-side. Add 5 03 45.
1127.33.45 ta-mar 5.15 IB₂.SI₈ sa₃-sum₂You will see 27 33 45. The square-side is 5 15.
125.03.45 EN.NAM IB₂.SI₈ 2.15 IB₂.SI₈ mu-huWhat does 5 03 45 square? The square-side is 2 15 00.
13IGI 2 ŠU GAM E DU₈.A 30 ta-mar 30 a-na 1.07.30 <i-ši>Solve the reciprocal of 2. You will see 0;30. Multiply 30 by 1 07 30.
1433.45 ta-mar NIGIN₂.NA sa₃-sum₂ u₃ mu-<<hu>>-ha-<am>You will see 0;33 45. The coils of the colon are squared and you will hear it.
15UL.GAR 7.30 ta-mar 1/2 7.30 he-pe₂ 3.45 ta-<mar>Solve the reciprocal of 0;07 30. Break 1/2 of 7;30. You will see 3;45.
16IGI 3.45 DU₈.A 16 ta-mar 16 a-na 33.45Solve the reciprocal of 3 45. You will see 16. Multiply 16 by 33 45.
17i-ši 9 ta-mar 9 SUKUD ša i-ki-imYou will see 9. The height is 9.
18ki-a-am ne-pe₂-šumThus the procedure
19BAD₃ 1 ŠU US₂ 20 mu-hu 1 sa₃-sum₂ 6 DAGAL SAHAR-HI.A <EN.NAM>A wall. The length is 1. The width is 0;20. The depth is 1. <What is> the volume?
20a-na 1 LU₂ US₂ pu-lu-uk ZA.E 30 u₃ 1 UL.GARYou: find the reciprocal of 0;30 and 1.
211.30 ta-mar 1/2 1.30 he-pe₂ 45 ta-mar 45You will see 1;30. Break off 1/2 of 1 30, you will see 0;45.
22a-na 6 SUKUD i-ši 4.30 ta-mar SAHAR-HI.A IGI 10 EŠ₂.⸢GAR₃⸣Multiply by 6, the height. You will see 4;30. The volume is 0;10.
23DU₈.A 6 ta-mar 4.30 a-na 6 i-ši 27 ta-marSolve the reciprocal of 6. You will see 0;06. Multiply 4;30 by 6 00. [You will see] 27.
24ERIN₂-MEŠ IGI 27 ERIN₂-MEŠ DU₈.A 2.13.20 ta-mar 2.13.20Solve the reciprocal of 27 people. You will see 2;13 20.
25a-na 1 US₂ i-ši 2.13.20 ta-mar 1 LU₂ i-ṣa-ba-atMultiply by 1, the length. You will see 2;13 20. 1 man will die.
26ki-a-am ne-pe₂-šumThus the procedure
27{giš}DIB.DIB ip-te-e-ma 1/2 SILA₃ {giš}DIB.DIBHe opened the door and 1/2 qû of door jamb
28IGI 4-GAL₂ 10 ⸢ŠU.SI⸣{na} a-na i-si-iq-tima 4th of a cubit, 10 fingers of ēšiqtu-stone for a circle.
29u₂-ul i-⸢sa⸣-an-ni-<iq> qa₂-qa₂-rum UGU qa₂-qa₂-rumHe will not raise a claim against the other side.
30EN.NAM SUKUD ZA.E IGI 1 40 SUKUD {giš}DIB.DIB DU₈.AWhat is the height? You: solve the reciprocal of 1 0;40, the height of a steppe.
3136 ta-mar 36 a-na 30 i-ši 18 ta-marYou will see 36. Multiply 36 by 30. [You will see] 18.
3218 a-na 2.30 i-ši 45 ta-mar KI UGU KI DIRIMultiply 18 by 2;30. You will see 0;45. The area exceeds the area.
33ki-a-am ne-pe₂-šumThus the procedure
34{giš}⸢DIB.DIB⸣ ip-te-e-ma 1/2 SILA₃ 1.45 qa₂-qa₂-rumHe opened the door and 1/2 qû 1 45 qaqarum
35UGU ⸢qa₂-qar⸣ <DIRI> 1 SILA₃ a-na i-si-iq-tim<Add> 1 qû for the isiqtu-festival.
36EN.NAM ⸢BA.ZI⸣ ZA.E IGI 30 1 SILA₃ {giš}DIB.DIB DU₈.AWhat is the height? You: solve the reciprocal of 0;30. You will see 1 qû of a steppe.
372 ta-mar 2 a-na 40 i-ši 3.20 ta-marYou will see 2. Multiply 2 by 0;40. [You will see] 3;20.
383.20 a-na 45 i-ši 2.30 ta-mar 1 SILA₃Multiply 3;20 by 45. You will see 2;30.
39a-na i-si-iq-tim u₂-ul i-sa₃-an-ni-iqHe shall not raise a claim against the other.
40ki-a-am ne-pe₂-šumThus the procedure
41{giš}DIB.DIB 3.20 ip-te-e 1 SILA₃ he-pi {giš}DIB.DIBA wedge. The opening of the wedge is 3;20. One qû of broken bricks.
4244.26.40 IGI 9-GAL₂ 2/3 10 ŠU.SI 1 SILA₃44 26 40 is the reciprocal of 9 2/3
43a-na i-si-iq-tim u₂-ul i-sa₃-an-ni-iqHe shall not raise a claim against the other.
44qa₂-qa₂-rum UGU qa₂-qa₂-rum EN.NAM DIRIWhat is the area on top of the area?
45IGI 1.40 DU₈.A 36 ta-mar 36 a-na 3.20Solve the reciprocal of 1;40. You will see 36. Multiply 36 by 3;20.
46i-ši 2 ta-mar 2 a-na 44.26.40 i-šiYou will see 2. Multiply 2 by 44 26 40.
471.28.53.20 qa₂-qa₂-rum UGU qa₂-qa₂-rum1 28 53 20, the volume over the volume.
48ki-a-am ne-pe₂-šumThus the procedure
o iii
1a-aš-ba-tum 20 im-ta-har A.ŠA₃ EN.NAMThe square-side is 0;20. What is the area?
2ZA.E 20 NIGIN 6.40 ta-mar IGI 4-GAL₂ 6.40You: square 0;20. You will see 6;40. The reciprocal of 4 is 6;30.
3BA.ZI 3.20 ta-mar 2(IKU){gana₂} A.ŠA₃You will see 3;20. The area is 2 iku.
4ki-a-am ne-pe₂-šumThus the procedure
51 IM.LA₂ GUR₂ EN.NAM ZA.E 4 u₃ 3 BAL GAR.RAIf the north wind roars: what are yours? You put down 4 and 3.
64 a-na 3 i-ši 12 ta-mar IGI 18 IM.LA₂ <DU₈.A>Multiply 0;04 by 3. You will see 12. Solve the reciprocal of 18 00, the height.
73.20 ta-mar 3.20 a-na 12 i-šiYou will see 3 20. Multiply 3 20 by 12.
840 ta-mar 40 GUR₂You will see 0;40.
9ki-a-am ne-pe₂-šumThus the procedure
1040 GUR₂ IM(KI).LA₂-BI <EN.NAM ZA.E 4 u₃ 3 BAL GAR.RA> 4 a-na 3 i-ši 12 ta-marYou: put down 4 and 3. Multiply 4 by 3. You will see 12.
11IGI 12 DU₈.A 5 ta-mar 18 IM.<LA₂>-BISolve the reciprocal of 12. You will see 0;05. 18 is its inverse.
12a-na 5 i-ši 1.30 ta-mar 1.30 a-na 40 GUR₂ i-ši 1 ta-marMultiply by 0;05. You will see 1;30. [Multiply 1];30 by 40 kurru. [You will see] 1.
13ki-a-am ne-pe₂-šumThus the procedure
1430 IM.LA₂-BI GUR₂ EN.NAM ZA.E 4 a-na 3 i-šiIf the Moon reaches its normal length: what are yours? Multiply 4 by 3.
1512 ta-mar IGI 12 DU₈.A 3.20 ta-mar 3.20 a-na 12Solve the reciprocal of 12. You will see 3;20. Multiply 0;03 20 by 12.
16i-ši 40 ta-mar 40 a-na 30 i-ši 20 ta-mar GUR₂Multiply 0;40 by 30. You will see 20. Return.
17ki-a-am ne-pe₂-šumThus the procedure
1820 GUR₂ IM.LA₂ EN.NAM ZA.E 4 a-na 3 i-šiWhat are 20 kurru of bricks? You: multiply 4 by 3.
1912 ta-mar IGI 12 DU₈.A 5 ta-marYou will see 12. Solve the reciprocal of 12. [You will see] 0;05.
2018 IM.LA₂ a-na 5 i-ši 1.30 <ta-mar>Multiply 0;18, the brickage, by 5. You will see 1;30.
211.30 a-na 20 GUR₂ i-ši 30 ta-mar 30 IM.LA₂Multiply 1;30 by 20 00 00. You will see 0;30.
22ki-a-am ne-pe₂-šumThus the procedure
23GI.SA 4 GUR₂ KI.TA(BI) 2 GUR₂ AN.NA 6 SUKUDa reed bundle of 4 kurru; its lower side is 2 kor of lead, 6 sukurru.
24SAHAR-HI.A EN.NAM u₃ DAL SAHAR-HI.A AN.NA u₃ SAHAR-HI.AWhat are the volume and the dilapidation of the volume of lead and the volume?
25KI.TA(BI) ZA.⸢E 4 NIGIN 16 ta-mar 16 a-naThe lower part is elevated. The coils of the colon are 4 in number. You will see 16. Multiply 16 by 1.
265 GUR₂ i-ši 1.20 ta-mar 2 NIGIN 4 ta-marMultiply 0;05, the depth, by 1;20. You will see 2. The coils of the colon are 4 in number.
274 a-na 5 GUR₂ i-ši 20 ta-mar 1.20 u₃ 20 UL.GARMultiply 4 by 0;05, the reeds. You will see 20. Combine 1;20 and 20.
281.40 ta-mar 1/2 1.40 he-pe₂ 50 ta-mar 50 a-na 6 SUKUDYou will see 1;40. Break off 1/2 0;01 40. [You will see] 50. Multiply 50 by 6. The height is 6.
29i-ši 5 ta-mar SAHAR-HI.A GI.SA-HI.AYou will see 0;05. The volume of the reeds.
30ki-a-am ne-pe₂-šumThus the procedure
31GI.⸢SA⸣ 4 sa₃-sum₂ 3 mu-hu 6 SUKUD 5 ⸢SAHAR⸣-[HI].⸢A⸣A reed fence. The square-side is 4, the height 3. The height is 6, the height 5.
323 KUŠ₃ e-li DAL u₃ SAHAR-HI.A EN.NAM ZA.[E]What are the width and volume?
334 sa₃-sum₂ UGU 2 mu-hu EN.NAM i-tirThe square-side is 4. What is the reciprocal of 2?
342 DIRI IGI 6 SUKUD DU₈.A 20 ta-mar 10 [a-na 2 i]-šiSolve the reciprocal of 0;02, the height. You will see 20. Multiply 10 by 2.
3520 ta-mar 20 a-na 3 ša te-lu-u₂ i-šiYou will see 20. Multiply 0;20 by 3. It comes up.
361 ta-mar 1 i-na 4 sa₃-sum₂ BA.⸢ZI⸣You will see 1. Subtract 1 from 4.
373 DAL ki-a-am ne-pe₂-šum3 DAL is the procedure.
38SIG₄.AL.UR₃.RA PU₂ 3.20 US₂ 2.30 SAG AN].⸢NA⸣A well. The length is 3;20, the width 2;30, the height of a ...
391.40 SAG KI.TA a-na PU₂ ⸢SIG₄⸣ [EN.NAM ša-ak]-na-at1;40, the lower front, to the well of the mudbrick house; the governor is appointed.
40ZA.E 2.30 SAG AN.NA UGU 1.40 SAG KI.TA]You: the upper width is 2;30, the lower width 1;40.
41DIRI 50 DIRI IGI 50 DU₈.⸢A⸣ 1.12 ta-mar]Multiply 50 by 0;50. You will see 1;12.
421.12 a-na 1.40 i-ši 2 ⸢ta⸣-[mar 2 ⸢NIGIN⸣ 4 ta-marMultiply 0;01 12 by 1;40. You will see 2. Sum 2 and a total of 4.
433.20 US₂ a-na 4 i-ši 13.20 ta]-mar DAL GALMultiply 3;20, the length, by 4. You will see 13;20. The large square-side is 0;00 03 20.
4413.20 A.RA₂ 3 TAB.BA 40 ⸢ta⸣-[mar 40 GUR₂ [NIGIN₂.NA]13;20 times 3 is 0;40, the diagonal of 40. Total.
45ti-ib-ka-at iš-te-[en EN.NAM IGI 1.40 SAG KI].TA DU₈.AWhat is the reciprocal of 1;40, the lower width?
4636 ta-mar 36 [a-na 40 GUR₂ i-ši 24 ta-mar]You will see 36. Multiply 36 by 0;40, the šangû-square. [You will see] 24.
4724 ti-ib-[ka-at iš-te-en (...) NIGIN₂.NA]24 tibkātu-vessels, this one ...
48GUR₂ qe₂-er-be₂-tum [EN.NAM (...) 3.20 US₂]The length is 3;20, the width 0;30.
49SIG₄ TAB.BA 6.40 a-na 13.20 DAH.HA 20 ta-mar]Add 6;40 to 13;20. You will see 20.
5020 A.RA₂ 3 TAB.BA 1 ta-mar 1 ⸢GUR₂⸣ [qe₂-er-be₂-tum]You will see 0;20 times 3.
51ki-a-am ne-⸢pe₂-šum⸣thus the ritual procedures
r i
1BAD₃ 36 SUKUD 1/2 [NINDA 3 KUŠ₃ mu-hu-⸢um⸣The city wall is 36 cubits, the width 1/2 rod and 3 cub[its].
2ma-la sa₃-⸢sum₂ e-le-nu⸣-um ur-damas much as the sa-esum of upper-class is to be added,
3ša ur-dam sa₃-sum₂ DAL u₃ SAHAR-HI.A EN.NAMWhat are the length, width, and volume?
4ZA.E i-na 1 KUŠ₃ 50 ŠA₃.GAL 50 TAB.BA 1.40 ta-marYou: with 1 cubit, 0;50, the depth. You will see 1;40.
51.40 a-na 36 SUKUD i-ši 1 ta-mar GAR.RA 45Multiply 1;40 by 36, the height. You will see 1. Put down 0;45.
6NIGIN 33.45 ta-mar 1 u₃ 33.45 UL.GAR-maYou will see 0;33 45. Combine 1, so that you see 3;35 45.
71.33.45 ta-mar EN.NAM IB₂.SI₈ 1.15 IB₂.SI₈You will see 1;33 45. What is the square-side? It is 1;15.
81.15 sa₃-sum₂ 1.15 a-na 12 BAL SUKUD i-šiMultiply 1;15 by 12, the diagonal of the height.
915 ta-mar 25 ŠA₃.GAL GAR.RA NIGIN₂.NA 1.15 sa₃-sum₂You will see 0;15. The constant of a square is 25. Solve the reciprocal of 1;15, the square-side.
10UGU 45 EN.NAM DIRI 30 DIRI 25 ŠA₃.GALWhat is the difference between 45 and 30? The square-side is 25.
11a-na 30 DIRI i-ši 12.30 ta-mar 12.30 a-na 45 ⸢mu-hi⸣Multiply by 0;30, the width. You will see 12;30. Add 12 30 to 45, the height.
12DAH.HA-ma 57.30 ta-mar DAL NIGIN₂.NA SAHAR-HI.A a-⸢mur⸣Add (it) and you will see 0;57 30. The diameter is a circle. You will gather earth.
1357.30 DAL u₃ 45 mu-hu UL.GAR 1.42.3057;30 the long side and 45 the short side are 1 42;30.
14ta-mar 1/2 1.42.30 he-pe₂ 51.15 ta-mar 51.15You will see 1/2 0;01 42 30. Break (it) down and you will see 51 15.
15a-na 15 ša tu-ur-dam <i-ši> 12.48.45 ta-mar SAHAR-HI.A AN.[NA]Return. You will see 0;12 48 45. The volume of the lead.
16NIGIN₂.NA SAHAR-HI.A KI.<TA> a-mur 57.30 u₃ 15 UL.GAR 2.12.30 <ta-mar>You will see the lower volume. Sum 57;30 and 0;15, the constant. <You will see> 2;12 30.
171/2 2.12.30 he-pe₂ 1.06.40 ta-mar 1.06.40 a-na 21 SUKUDBreak 1/2 of 2 12;30. You will see 1 06;40. Multiply 1 06 40 by 21.
18i-ši 23.11.15 ta-mar SAHAR-HI.A KI.<TA>You will see 0;23 11 15. The lower volume.
19ki-a-am ne-pe₂-šumThus the procedure
20BAD₃ SAHAR-HI.A 36 36 SUKUD ⸢i-na⸣ 1 KUŠ₃ 50 ŠA₃.GALThe volume of a wall is 36 00. The height of the eši-ina-e23 is 36 cubits. The square-side is 50.
21mu-hu u₃ sa₃-sum₂ <EN.NAM> ZA.E IGI 36 SAHAR-HI.A DU₈.AYou: find the reciprocal of 36, the volume.
221.40 ta-mar 1.40 a-na 36 i-ši 1 ta-mar 1(2) GAR.RAMultiply 1;40 by 36. You will see 1. Put down 0;01.
2325 ŠA₃.GAL a-na 36 i-ši 15 ta-mar 15 i-na 1 BA.⸢ZI⸣Multiply 0;25, the volume, by 36. You will see 15. Subtract 15 from 1.
2445 ta-mar mu-hu 15 a-na 1 DAH.HA 1.15 ta-mar sa₃-sum₂You will see 0;45. Add 15 to 1, you will see 1;15. Square (it).
25ki-a-am ne-pe₂-šumThus the procedure
26SIG₄.AL.UR₃.RA PU₂ 3.20 US₂ 50 SAG AN.NA UGU <SAG> KI.<TA> 50a well. The length is 3;20, the width 0;50, the capital of the lead, over the lower width is 50.
27DIRI SAG AN.NA u₃ SAG KI.<TA> EN.NAM ZA.EWhat are the difference between the capital of the lead and the lower capital?
28IGI 40 20 BA.ZI 13.20 ta-mar IGI 3.20 DU₈.A 18 ta-marSolve the reciprocal of 0;40. You will see 13;20. Multiply 3;20 by 18 00 00.
2918 a-na 13.20 i-ši 4 ta-mar 1/2 4 he-pe₂ 2 ta-marMultiply 0;18 by 13;20. You will see 4. Break off 1/2 of 4 and you will see 2.
3050 DIRI a-na 2 i-ši 1.40 ta-mar 1.40 a-na BAL SAG AN.<NA>Multiply 0;50, the width, by 2. You will see 1;40. [Add 1];40 to the width of the top of the tin.
31u₃ SAG KI.<TA> GAR.RA 50 a-na 1.40 DAH.HA 2.30 ta-marAdd 0;50 to 1;40. You will see 2;30.
322.30 SAG AN.NA ki-a-am ne-pe₂-šumThe width is 2;30, the procedure.
331 GUR₂ 2 NINDA ur-dam DAL EN.NAM ZA.EYou multiply 1 kurru 2 rods. What is the diameter?
342 NIGIN 4 ta-mar 4 i-na 20You will see 2. Multiply 4 by 0;20.
35DAL BA.ZI 16 ta-mar 20 DAL NIGIN 6.40 ⸢ta⸣-[mar]You will see 16. The width is 0;20. The total is 6;40.
3616 NIGIN 4.16 ta-mar 4.16 i-na 6.40 BA.ZITotal: 4 16. You will see 4 16. Subtract 4 16. From 6 40.
372.24 ta-mar 2.24 EN.NAM IB₂.SI₈ 12 IB₂.SI₈You will see 2 24. What are 2 24? The square-side is 12. The square side is 12.
38DAL ki-a-am ne-pe₂-šumDAL, thus the procedure
39šum-ma GUR₂ 1 ak-pu-upIf kurru (= 100 sila3) is 1 I put down
4012 DAL ša ur-dam <EN.NAM> ZA.E 20 DAL NIGINYou: find the reciprocal of 0;12, the length.
416.40 ta-mar 12 NIGIN 2.24 i-na 6.40 BA.ZIYou will see 0;06 40. The total is 12. Subtract 2;24 from 6;40.
424.16 ta-mar 16 EN.NAM IB₂.SI₈ 4 IB₂.SI₈ 1/2 4 he-pe₂You will see 0;04 16. What are the square-sides? Break 4 in 1/2.
432 ta-mar 2 ša tu-ur-dam ne-pe₂-šumYou will see 2. Return. The procedure.
44{giš}BA:RI.GA 4 DAL 1 ŠE GUR₂ u GAM EN.NAMA scepter. Its length is 4 (rods), its depth 1 (rod). What are its depth and its weight?
45ZA.E DAL NIGIN 16 ta-mar IGI 16 DU₈.AYou: square 0;16. You will see 16. Solve the reciprocal of 16.
463.45 ta-mar 3.45 GAM ne-pe₂-šumYou will see 0;03 45. The procedure.
47{tug₂}ṣu₂-ba-tum 48 US₂ i-na U₄ 1-KAM 20 im-ha-aṣa šubatu-garment, 48 lengths on the 1st day, 20 was broken.
48i-na ki-ma u₄-mi e-pa-ra-<as> ZA.E IGI 20 DU₈.AYou: solve the reciprocal of 0;20.
493 ta-mar 48 a-na 3 i-ši 2.24 ta-marMultiply 0;48 by 3. You will see 2;24.
50ITI 4-KAM U₄ 24-KAM i-pa-ra-asHe will perform (the service) on the 4th day and the 24th day.
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1{giš}BAN še-a-am ma-li-a-at i-na ŠA₃-⸢BI⸣ 1 SILA₃ ŠE] BA.ZI 2 <DAL>A seah of barley equals one-third of a šapik-container; 1 qû is the price of one-half.
2GAM EN.NAM u₂-ri-id-ma lu-u₂ 1 SILA₃ [...] ⸢ZA⸣.E 2.30 GAMWhat is the reciprocal of 0;00 02 30?
3a-na 10 ṣi-lip IGI 10 DU₈.A 6 ta-mar 2.30 a-na 6 i-šiMultiply by 0;10. You will see 6. Multipy 2;30 by 6.
415 ta-mar 10 ŠU.SI 1/2 10 ŠU.SI GAM 1 ⸢SILA₃⸣ lu-mur 2 DAL NIGINYou will see 0;15. The ‘square-side’ is 10 fingers 1/2. It is 1 finger. Let me see 1 of a šalâ-vessel. The width is 2.
54 ta-mar 15 GAM a-na 4 i-ši 1 ta-mar 1 SILA₃ ŠEMultiply 0;15 by 4. You will see 1. 1 qû is the work rate.
6ki-a-am ne-pe₂-šumThus the procedure
7i-na SAHAR-HI.A 1.30{gana₂} IRI{ki} na-ki-⸢ir⸣ {[d}AMAR].⸢UTU⸣ a-ṣa-ba-atFrom the earth, 1 30 00 square meters: the city Nakī-ērir, Marduk, I shall call.
86 UR₂ SAHAR-HI.A u₂-ki-⸢in 8 [a]-⸢na⸣ BAD₃ la sa-na-qam₂6 layers of earth. 8 layers of wall not to be strewn.
936 zi-⸢iq⸣-[pi] ⸢SAHAR⸣-HI.A ki ma-ṣi₂ US₂36 ‘cutting-of-the-throat’ reed bundles, length by volume.
10lu-uk-⸢bu⸣-[us₂ IRI{ki]} lu aṣ-ba-at u₃ US₂ EGIRMay I be able to enter the city. Further, the length is further.
11hur{⸢hu⸣}[ru EN.NAM ZA.E IGI] 6 UR₂ SAHAR-HI.A DU₈.A 10 ta-mar 10 a-naWhat are the heights? You: solve the reciprocal of 6. You will see 0;10, the volume. Multiply 10 by 1.
121.30 SAHAR-HI.A i-ši] 15 ta-mar IGI 8 DU₈.A 7.30 ta-marSolve the reciprocal of 8. You will see 7;30.
137.30 a-na 15 i]-⸢ši⸣ 1.52.30 ta-mar 1.52.30 TAB.BAMultiply 0;07 30 by 15. You will see 1;52 30. The width is 1;22 30.
143.45 ta-mar] 3.45 a-na 36 i-ši 2.15 ta-mar 1.52.30Multiply 3;45 by 36. You will see 2;15. 1 52;30
15[NIGIN 3.30.56.15 ta-mar 2.15 i-na 3.30.56.15[Total: 3 30 56 15]. You will see 2;15. [Multiply] by 3;30 56 15.
16[BA.ZI 1.15.56.15 EN.NAM IB₂.SI₈ 1.07.30 ta-marWhat is the square-side of 1 15 56 15? You will see 1 07 30.
171.07.30 i-na] 1.52.30 BA.ZI 45 ta-mar SUKUD BAD₃You will see 0;45, the height of the city wall.
181/2 45 he-pe₂] 22.30 ta⸣-mar IGI 22.30 DU₈.A 2.40Break off 1/2 of 45. You will see 22;30. Solve the reciprocal of 22 30. 2;40.
19[ta-mar 15 a-na] 2.40 i-ši 40 US₂ NIGIN₂.NA 1.30 ⸢SAHAR-HI⸣.A a-mur 22.30Multiply 0;15 by 2;40, the length. A total of 1;30 esaharḫu-plants. Look at 22;30.
20[...] a-na 40 US₂ i-ši 15 ta-mar 15 a-na 6 i-šiMultiply ... by 40, the length. You will see 0;15. [Multiply] 15 by 6.
211.30 ta-mar 1.30 SAHAR-HI.A ne-pe₂-šumYou will see 0;01 30. The volume is 1;30. The procedure
22i-na SAHAR-HI.A 1.30 IRI{ki} na-ki-ir {d}AMAR.UTU a-ṣa-ba-atFrom the earth, 1 30 cities are destroyed. Marduk is seized.
23iš-tu UR₂ SAHAR-HI.A 32 US₂ a-na pa-ni-ia al-likFrom the surface of the earth I marched 32 lengths in front of me.
2436 SUKUD SAHAR-HI.A US₂ EN.NAM lu-uk-bu-us₂ IRI{ki}What are the length and volume? How much should I build a city?
25lu aṣ-ba-at US₂ ša pa-ni hur{hu}ru EN.NAM ZA.EThe length is two-thirds of the face of the mountain. What are you?
26IGI 32 DU₈.A 1.52.30 ta-mar 1.52.30 a-na 36 SUKUDSolve the reciprocal of 32. You will see 1;52 30. Multiply 1;22 30 by 36.
27i-ši 7.30 ta-mar IGI 6 UR₂ SAHAR-HI.A DU₈.A 10 ta-marYou will see 0;07 30. Solve the reciprocal of 6 00, the surface of the earth, so that you will see 10.
281.30 SAHAR-HI.A a-na 10 i-ši 15 ta-mar 15 a-na 2 TAB.BAMultiply 1;30, the volume, by 10. You will see 0;15. [Multiply 15 by 2].
2930 ta-mar 30 a-na 1.07.30 i-ši 33.45 ta-marMultiply 0;30 by 1 07 30. You will see 33 45.
3033.45 EN.NAM IB₂.SI₈ 45 IB₂.SI₈ 45 SUKUD BAD₃What is the square-side of 0;33 45? It is a square-sided square. The height of the circle is [0;45].
3145 SUKUD BAD₃ UGU 36 SUKUD SAHAR-HI.A EN.NAM DIRI 9 DIRIWhat are the height, width, and volume? The square-side is 0;45. What is the volume, and how much is 9?
32IGI 1.07.30 DU₈.A 53.20 ta-mar 53.20 a-na 9 i-šiSolve the reciprocal of 1 07;30. You will see 0;53 20. Multiply [0;03 20] by 9.
338 ta-mar 8 US₂ a-na pa-ni-ka₃ ta-ka-ba-asYou will see 8. You will fold 8 lengths in front of you.
34[i]-⸢na⸣ 4 AB.SIN₂ 30 im-qu₂-ut i-na 1/2 NINDA 1 SILA₃ ŠEFour furrows, thirty fell from a rod, one qû is the work rate
35⸢e-si-ip⸣ [...] ⸢US₂⸣ 1(BUR₃){gana₂} A.ŠA₃{im} ŠE.GUR EN.NAM ZA.EE-sip-e23 ... E-UŠ-E23 1 bur3 area: what is the debt of the king?
36IGI 4 AB.SIN₂ ⸢DU₈.A⸣ 15 ⸢ta-mar 15 a-na 30 NINDA i-šiThe reciprocal of 4 furrows is 15. You will see 15. Multiply 15 by 30 rods.
377.30 ta-mar IGI 7.30 DU₈.A 8 ta-mar 8 a-na 30You will see 0;07 30. Solve the reciprocal of 7;30. [You will see 8]. Multiply 8 by 30.
38A.ŠA₃{im} i-ši 4 ta-mar US₂ 1(BUR₃){gana₂} A.ŠA₃ 8 DANNA-maYou will see 4. The length is 1 bur. The area is 8 double-hours.
39IGI 30 A.ŠA₃ DU₈.A 2 ta-mar 4 a-na 2 i-ši 8Solve the reciprocal of 30. You will see 2. Multiply 4 by 2. It gives 8.
40ta-mar 8 i-na 1(DIŠ).3(U).6(AŠ) ŠE.GUR i-ba-ši-iYou will see 8. What is the dividing line of 1/6 (shekel?).
41hi-ri-tum 10-TA.AM₃ mu-hu 18 SUKUD i-na 1 KUŠ₃ 1 ŠA₃.GALThe width is 0;10 each. The height is 18 cubits.
42sa₃-sum₂ u₃ SAHAR-HI.A <EN.NAM> ZA.E 5 u₃ 5 UL.GAR 10 ta-marYou: sum 5 and 5. You will see 0;10.
4310 ⸢a⸣-na 18 SUKUD i-ši 3 ta-mar 3 i-na 10 BA.ZI 7Multiply 0;10 by 18. The height is 18. You will see 3. Subtract 3 from 10.
44[ta-mar 7 sa₃-sum₂ NIGIN₂.NA sa₃-sum₂ u₃ mu-hu UL.GAR 17 ta-marYou will see 7. Put down 0;07, the dividing line, the square-side, and the perimeter. You will observe 17.
451/2 17 he-pe₂] 8.30 ta-mar NIGIN 1.12.15 ta-marBreak off 1/2 of 17. You will see 8 30. Total: 1 12 15.
461.12.15 GAR].⸢RA⸣ IGI 4(2-)GAL₂ DIRI ša mu-hu UGUThe reciprocal of 4 double-hours is 0;01 12 15. It is incumbent on
47sa₃-sum₂ ⸢DIRI BA.ZI⸣ 45 a-na 1.12.15 DAH.HA-maMultiply 0;45 by 1;12 15, so that you see 4.
481.13 ta-mar 18 a-na 1.13 i-ši 22.30 ta-⸢mar⸣You will see 1 13. Multiply 18 by 1 13 00. You will observe 22 30.
492(EŠE₃).1(IKU).1/2(IKU){gana₂} SAHAR-HI.A ki-<a-am> ne-pe₂-šum2 e1 1/2 ikû of earth is the procedure
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1U₄.GAN₂.SAKAR 1 ŠU GUR₂ 50 DAL A.ŠA₃ <EN.NAM>The month of Kislimu, the 1st of which followed the 30th of the preceding month, sunset to moonset: 1°. The length is 0;50. What is the field?
2ZA.E 1 ŠU GUR₂ UGU 50 EN.NAM DIRI(SI)You: multiply 1 by 0;50. What is the difference?
310 DIRI 50 a-na 10 DIRI i-ši 8.20Multiply 0;50 by 10 00 00. The square-side is 8;20.
4ta-mar 10 DAL NIGIN 1.40 ta-mar 1.40You will see 0;10, the diagonal. You will [see] 1;40. [1;40]
5[i]-⸢na⸣ 8.20 BA.ZI 7.30 ta-marYou will see 0;07 30.
6⸢U₄⸣.[GAN₂].⸢SAKAR⸣ A.ŠA₃ ne-<pe₂>-šumE23.GAN.E22SAKAR₂ E23 means “hand-of-a-man’.
7⸢šum⸣-ma {giš}[MA₂] 1 SAR SIG₄ i-na-aš-ši-iIf a boat of 1 sar of bricks is to be brought
8⸢še⸣-a-am EN.⸢NAM i⸣-na-aš-ši ZA.E 41.40 SAHAR-HI.AYou, when you multiply 0;41 40, the volume.
91 SIG₄-HI.A 41.40 a-na 5 GAN₂ i-ši 3.28.201 of bricks is 0;41 40. Multiply by 5 00 00, the surface, by 3 28 20.
10SAHAR-HI.A 3.1/3 SILA₃ 8.1/3 GIN₂ <ŠE> 1 SIG₄The volume is 3 1/3 qû, 8 1/3 shekels.
113.28.20 a-na 12 ŠU.SI i-ši 41.40 ta-marMultiply 3 28 20 by 12 fingers. You will see 0;41 40.
128(AŠ).1(GEŠ₂).4(U) ŠE.GUR ta-mar ne-pe₂-šumYou will see 840 šE.GUR. The procedure
13⸢šum⸣-ma pa-ru-um 1 NINDA im-ta-[har ...]If a pāru-container received 1 rod
14[a]-na 1/2 pa-ri-im 2 PI [...]For 1/2 pānum, 2 PI ...
15x BA.ZI iš-tu x [...]... ...
16x x x x [...]
17a-na mu-hi-šu [...]against him
18a-na SAG SAG [...]for the head of the head ...
19i-nu-ma 30 [...]When the moon ...
20le-qe₂ 10 [...] xTake 10 ...
2150 ta-mar 50 [...] xYou will see 0;50.
22a-na še-pi₂-šu [...]-imto the ... of ...
23a-na 50 1/2 DAH.[HA ... ta]-mar 1.05 1/2Add 1/2 to 50. You will see 1 05 1/2.
24iš-tu SAG [...] x a-na še-pi₂-iaFrom the beginning ... to my head
25⸢ki-a-am⸣ [ne]-pe₂-šumthe ritual of E-am-e-23
26[...] x x AN.TA 2... upper 2
27[... uṭ]-⸢ṭe₄⸣-ti-ša EN.NAM ZA.E 40What is its uṭeti function? You: 0;40
28[a-na 1.12 IGI.GUB i-ši 48 ta-mar 48Multiply by 1;12, the constant. You will see 48.
29[...]-nu-um uṭ-ṭe₄-ti-ša...-num, its ...
30⸢ki⸣-a-am ne-pe₂-šumThe ritual of Ea
3130 US₂ 10 A.ŠA₃ SAG EN.NAM ZA.[E 1/2 30 he-pe₂]What are the length and width? You: break 1/2 of 30.
3215 ⸢ta⸣-[mar] IGI 15 DU₈.A 4 ⸢ta⸣-mar0;15, the reciprocal of 15. You will see 4.
3310 a-na 4 [i-ši 40 ta-mar 40 a-na 30Multiply 0;10 by 4 00. You will see [0;40]. Multipl[ay] 1 00 by 30.
34US₂ i-[ši 20 ta]-⸢mar⸣ SAGThe length is 0;20. You will see the width.
35pi₂-sa-nu-um 3 [ŠU.SI GUR₂] ⸢ak⸣-pu-pa(UL-)amBasket-of-tablets: 3 fingers, xxx
36A ma-ah-ru-tum ki-⸢ma⸣ [...]-ša-di-imson of Aḫi-rūtum, the ... of the netherworld
37wa(ŠI-)ar-ku-tum i-na ka-[...] ⸢ga⸣-am-ru“It is an arrow in the mouth of a lion
38SUKUD u₂-ri-di-im EN.NAM ZA.⸢E⸣ 3 NIGIN 9 ⸢ta⸣-marWhat is the height of a circle?
399 a-na 5 GUR₂ i-ši 45 ta-⸢mar⸣ [IGI 45 DU₈].⸢A⸣Multiply 9 by 5 00 00. You will see 0;45. [Return the reciprocal of 0] 45.
401.20 ta-mar IGI 6.40 a-na 9 i-ši [...]You will see 1;20. Multiply the reciprocal of 6;40 by 9.
4112 NINDA SUKUD u₂-ri-id(TE) ne-pe₂-⸢šum⸣12 nindanu, the height of a rope, ritual procedure
421 SILA₃ pi₂-<sa-nu-um> 10 ŠU.SI am-ṣu₂-ur US₂ EN.⸢NAM⸣1 qû of pisanum-flour, 10 fingers of amšūr-gold, the length of the en-priestess.
43al-<<li>>-lik ZA.E 10 NIGIN 1.40 ta-mar 1.40You: square 0;10. You will see 1;40.
44a-na 5 GUR₂ i-ši 8.20 ta-mar IGI 8.20 DU₈.AMultiply by 5 00 00. You will see 8 20. Solve the reciprocal of 8;20.
457.12 ta-mar IGI 6.40 a-na 7.12 i-šiYou will see 7 12. Multiply the reciprocal of 6 40 by 7 12.
461.04.48 US₂ ta-mar ne-pe₂-šumYou will see 1 04 48, the length. The procedure.
47ŠU.NIGIN₂ 35 ki-bi-is ŠIDA total of 35 kibris, harvested.

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Cite the original edition and translator. Page generated by Unread Atlas from the public corpus export of 2026-10-18.