In Math
Canal excavation volumes, dated (UET 5, 856)
Old Babylonian problem text from Ur computing earthwork for a canal, dated by a year name.
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| Designation | UET 5, 0856 |
|---|---|
| Museum no. | IM 057600 |
| Collection | National Museum of Iraq, Baghdad, Iraq |
| Language | Sumerian |
| Period | Old Babylonian |
| Genre | Mathematical |
| Provenience | Ur (mod. Tell Muqayyar) |
| Findspot | 30.9607, 46.1063 |
| CDLI no. | P254848 |
| Source | Cuneiform Digital Library Initiative — CDLI: reuse of catalogue/transliteration data with citation of CDLI; images restricted (not fetched) |
| Lines | 39 (39 with machine English) |
| Font | Santakku (Old Babylonian (cursive)), by Sylvie Vanséveren |
Machine draft. English generated by model atf-en-best-v2 (montycrypto/atf-to-english) (version d871547f92875415dbbc7f4a37fd65e35f8ac97d) on 2026-10-05, line by line from the ATF. Not a scholarly translation.
| Line | ATF | Cuneiform | English (machine draft) |
|---|---|---|---|
| obverse | |||
| 1 | 6(disz) ninda 4(disz) kusz3 [us2] | · 𒃻 · · · | 6 ninda 4 cubits the length |
| 2 | 1/2(disz) ninda 2(disz) kusz3 [sag] | · 𒃻 · · · | 1/2 ninda 2 cubits, the head |
| 3 | 2(disz) kusz3 bur3# | · · 𒁓 | 2 cubits depth |
| 4 | sahar-bi 8(disz) 1/3(disz) sar 6(disz) gin2 | 𒅖𒁉 · · 𒉡 · 𒍤𒀀 | its soil: 8 1/3 sar 6 shekels |
| 5 | 3(u) 3(disz) 1/2(disz) ninda us2 1(disz) ninda sag | · · · 𒃻 𒍑 · 𒃻 𒊕 | 33 1/2 ninda, the length, 1 ninda, |
| 6 | 2(disz) kusz3 bur3 | · · 𒁓 | 2 cubits depth |
| 7 | sahar-bi 1/2(iku) GAN2 1(u) 7(disz) sar | 𒅖𒁉 · 𒃶 · · 𒉡 | its soil: 1/2 iku surface area, 17 sar; |
| 8 | 2(u) 6(disz) 1/2(disz) ninda 3(disz) kusz3 us2 | · · · 𒃻 · · 𒍑 | 26 1/2 ninda 3 cubits the length |
| 9 | 1/2(disz) ninda 2(disz) kusz3 sag | · 𒃻 · · 𒊕 | 1/2 ninda 2 cubits, the head |
| 10 | 2(disz) kusz3 bur3 | · · 𒁓 | 2 cubits depth |
| 11 | sahar-bi 3(u) 6(disz) sar | 𒅖𒁉 · · 𒉡 | its soil: 36 sar; |
| 12 | 2(u) 2(disz) ninda us2 1(disz) ninda sag | · · 𒃻 𒍑 · 𒃻 𒊕 | 22 ninda, the length, 1 ninda, |
| 13 | 2(disz) kusz3 bur3 | · · 𒁓 | 2 cubits depth |
| 14 | sahar-bi 4(u) 4(disz) sar | 𒅖𒁉 · · 𒉡 | its soil: 44 sar; |
| 15 | 1(gesz2) 2(u) 9(disz) ninda us2 | · · · 𒃻 𒍑 | 89 ninda length, |
| 16 | sahar-bi 1(iku) 1/2(iku) GAN2 5(disz) 2/3(disz) sar | 𒅖𒁉 · · 𒃶 · · 𒉡 | its soil: 1 1/2 iku surface area, 5 2/3 sar; |
| reverse | |||
| 1 | sza3-ba 7(disz) 1/2(disz) ninda us2 | ·𒉿 · · 𒃻 𒍑 | therein: 7 1/2 ninda length, |
| 2 | 1(disz) ninda sag 2(disz) kusz3 bur3 | · 𒃻 𒊕 · · 𒁓 | 1 ninda the head, 2 cubits the depth |
| 3 | sahar-bi 1(u) 5(disz) sar ki 1(disz) | 𒅖𒁉 · · 𒉡 𒆠 · | its soil: 15 sar, with 1; |
| 4 | 3(u) 7(disz) 1/2(disz) ninda us2 1/2(disz) ninda 2(disz) kusz3 sag | · · · 𒃻 𒍑 · 𒃻 · · 𒊕 | 37 1/2 ninda, the length, 1/2 ninda, 2 cubits, the height |
| 5 | 2(disz) kusz3 bur3 | · · 𒁓 | 2 cubits depth |
| 6 | sahar-bi 1/2(iku) GAN2 ki 2(disz) | 𒅖𒁉 · 𒃶 𒆠 · | its soil: 1/2 iku surface area, 2 |
| 7 | 1(u) 6(disz) 1/2(disz) ninda us2 4(disz) kusz3 sag | · · · 𒃻 𒍑 · · 𒊕 | 16 1/2 ninda, the length, 4 cubits, |
| 8 | 2(disz) kusz3 bur3 | · · 𒁓 | 2 cubits depth |
| 9 | sahar-bi 1(u) 1(disz) sar | 𒅖𒁉 · · 𒉡 | its soil: 11 sar; |
| 10 | 1/2(iku) GAN2 2(u) 6(disz) sar# | · 𒃶 · · 𒉡 | 1/2 iku surface area: 26 sar |
| 11 | kal-{d}szu-bu-la | 𒆗·𒁍𒆷 | Kal-ubula |
| 12 | 1(u) 4(disz) 1/2(disz) ninda us2 1(disz) ninda sag | · · · 𒃻 𒍑 · 𒃻 𒊕 | 14 1/2 ninda, length, 1 ninda, |
| 13 | sahar-bi 2(u) 9(disz) sar | 𒅖𒁉 · · 𒉡 | its soil: 29 sar; |
| 14 | 2(u) 9(disz) 1/2(disz) ninda us2 1/2(disz) ninda 2(disz) kusz3 [sag] | · · · 𒃻 𒍑 · 𒃻 · · · | 29 1/2 ninda, the length, 1/2 ninda, 2 cubits, the height |
| 15 | sahar-bi 3(u) 9(disz)# 1/3(disz) sar# | 𒅖𒁉 · · · 𒉡 | its soil: 39 1/3 sar |
| 16 | 1(u) 7(disz) ninda us2 [4(disz) kusz3 sag] | · · 𒃻 𒍑 · · · | 17 ninda length, 4 cubits width |
| 17 | sahar-bi 1(u) 1(disz) 1/3(disz)# [sar] | 𒅖𒁉 · · · · | its soil: 11 1/3 sar |
| 18 | 1/2(iku) 2(u) 9(disz)# [2/3(disz) sar] | · · · · · | 1/2 iku 29 2/3 sar |
| left col 1 | |||
| 1 | ARAD2-i3-li2-szu | 𒀴𒉌𒇷𒊒 | Warad-ilu |
| 2 | szunigin 1(iku) 1/2(iku) GAN2 5(disz) 2/3(disz) sar us2 | 𒋗𒃸 · · 𒃶 · · 𒉡 𒍑 | total: 1 1/2 iku surface area, 5 2/3 sar surface area |
| left col 2 | |||
| 1 | i7 buranun-na | 𒀀𒇉 𒌓𒄒𒉣𒈾 | the Euphrates |
| 2 | iti du6-ku3 | 𒌗 𒁲𒆬 | month: “Mudammiq,” |
| 3 | mu e2 {d}inanna sza3 larsa{ki}-ma ba-du3 | 𒄭 𒂍 · · ·𒈠 𒉿𒁲 | year: “The house of Inanna in Larsa was erected.” |