MKT 1, 513 (P255010)

Mathematical tablet excavated in Uncertain (mod. uncertain), dated to the Old Babylonian (ca. 1900-1600 BC) period and now kept in Yale Babylonian Collection, New Haven, Connecticut, USA

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Museum Collection(s)

Yale Babylonian Collection, New Haven, Connecticut, USA

Museum Number

YBC 04698

Period

Old Babylonian (ca. 1900-1600 BC)

Provenience

uncertain (mod. uncertain)

Artifact Type

Tablet

Material(s)

Clay

Genre / Subgenre(s)

Scholarly or scientific > Mathematical (problem text)

Language(s)

-

Measurements

-

tablet
obverse
column 1
1. _sze_ a-na _1(asz) sze gur_
 en: (Problem 1:) (When the principal in) grain (is) as much as 1 gur of grain,
2. _1(barig) sze_ a-na _masz2 szum2_
 en: 1 barig of grain as the interest I give.
3. _sze u3 masz2 en-nam_
 en: The grain and the interest are how much?
  double ruling
4. _sze_ a-na _1(asz) sze gur_
 en: (Problem 2:) (When the principal in) grain (is) as much as 1 gur of grain,
5. _1(barig) 4(ban2)_ a-na _masz2 szum2_
 en: 1 barig 4 ban2 as the interest I give.
6. _sze u3 masz2 en-nam_
 en: The grain and the interest are how much?
  double ruling
7. _3(disz) sila3-ta i3 sag_
 en: (Problem 3:) (Rates in-kind are) 3 sila3 of first quality oil per (gin2)
8. _1(ban2) 2(disz) sila3-ta i3-gesz_
 en: (and) 1 ban2 2 sila3 of common oil per (gin2).
9. _1(disz) gin2 ku3-babbar szum2_
 en: 1 gin2 of silver I gave.
10. _i3-gesz u3 i3 sag_
 en: Common oil and first quality oil
11. _ib2-sa2_-ma _sa10_
 en: I made equal and I bought.
  double ruling
12. _1(gesz2) 3(u) dug an-bar_
 en: (Problem 4:) 90 DUG of iron
13. _9(disz)? dug ku3-sig17_
 en: 9? DUG of gold,
14. _1(disz) ma-na ku3-babbar szum2_
 en: 1 mana silver I gave.
15. _an-bar u3 ku3-sig17_
 en: The iron and gold
16. _1(disz) gin2_-ma _sa10_
 en: (is) 1 gin2 and I bought.
  double ruling
17. _1/2(disz) ma-na ku3-babbar szum2_
 en: (Problem 5:) 1/2 mana of silver I gave.
18. _1(asz) gur-ta sa10_
 en: 1 gur per (gin2) I bought.
  double ruling
column 2
1. _3(u) sze gur_
 en: (Problem 6:) 30 gur grain
2. _1(asz) sze gur-ta sa10-ma_
 en: 1 gur of grain per (gin2) I bought,
3. _4(barig) sze-ta bur2-ra_
 en: 4 barig of grain per (gin2) I sold.
4. _ku3 diri en-nam_
 en: The profit in silver is how much?
5. _7(disz) 1/2(disz) gin2 ku3-babbar diri_
 en: 7 1/2 gin2 of silver is the profit.
  double ruling
6. _sag ku3-bi en-nam_
 en: (Problem 7:) The initial price is how much?
  double ruling
7. _1(asz) gur i3-gesz_
 en: (Problem 8:) 1 gur of common oil.
8. _1(ban2)-ta sa10-ma_
 en: 1 ban2 per (gin2) I bought and,
9. _8(disz) sila3-ta bur2-ra_
 en: 8 sila3 per (gin2) I sold.
10. _ku3 diri en-nam_
 en: The profit is how much?
11. _7(disz) 1/2(disz) gin2 ku3 diri_
 en: 7 1/2 gin2 is the profit.
  double ruling
12. _1(asz) gur i3-gesz_
 en: (Problem 9:) 1 gur of common oil.
13. _i-na sa10 1(disz)! gin2_
 en: When the purchase is 1! (text: 2) gin2,
14. _2(disz) sila3 szusz4_
 en: 2 sila3 I cut.
15. _7(disz) 1/2(disz) gin2 ku3 diri_
 en: 7 1/2 gin2 is the profit.
16. _en-nam sa10-ma_
 en: How much did I buy?
17. _en-nam bur2-ra_
 en: How much did I sell?
18. _1(ban2) sa10-ma_
 en: 1 ban2 I bought and
19. _8(disz) sila3 bur2-ra_
 en: 8 sila3 I sold.
  double ruling
reverse
column 1
1. _1(asz) gur i3-gesz_
 en: (Problem 10:) 1 gur of common oil.
2. _9(disz) sila3-ta sa10-ma_
 en: 9 sila3 per (gin2) I bought,
3. _7(disz) 1/2(disz) sila3 bur2-ra_
 en: 7 1/2 sila3 per (gin2) I sold.
4. _ku3 diri en-nam_
 en: The profit is how much?
5. _6(disz) 2/3(disz) gin2 ku3 diri_
 en: 6 2/3 gin2 is the profit
  double ruling
6. _1(asz) gur i3-gesz_
 en: (Problem 11:) 1 gur of common oil.
7. i-na _sa10 1(disz) gin2 1(disz) 1/2(disz) sila3 szusz4_
 en: When the purchase is 1 gin2, 1 1/2 sila3 I cut.
8. _6(disz) 2/3(disz) gin2 ku3 diri_
 en: 6 2/3 gin2 is the profit.
9. _en-nam sa10-ma en-nam bur2-ra_
 en: How much did I buy? How much did I sell?
10. _9(disz) sila3 sa10-ma 7(disz) 1/2(disz) sila3 bur2-ra_
 en: 9 sila3 I bought, and 7 1/2 sila3 is sold.
  double ruling
11. _7(disz) ma-na u3 1(u) 1(disz) ma-na siki gesz?_
 en: (Problem 12:) (Per) 7 mana and 11 mana of ... wool
12. _1(disz) gin2 ku3 szum2 ib2-sa2_-ma _sa10-ma_
 en: 1(disz) gin2 I paid. I made equal and I bought.
13. _4(disz) 1(u) 6(disz) 4(u) sa10_
 en: 4.16.40 I bought.
  double ruling
14. _7(disz) sila3-ta i3-gesz_
 en: (Problem 13:) Per 7 sila3 of common oil
15. _1(ban2) 2(disz) sila3-ta i3-szah2_
 en: per 1 ban2 2 sila3 of lard,
16. _1(disz) gin2 szum2 ib2-sa2_-ma _sa10 2(ban2) 3(disz) 1/3(disz) sila3_
 en: 1 gin2 I gave. I made equal and I bought: 2 ban2 3 1/3 sila3.
  double ruling
17. _ganba_ a-na _1(disz) 2(disz) 3(disz) 4(disz) 5(disz)_
 en: (Problem 14:) (When) rates (in-kind are) as much as 1 2 3 4 5
18. _6(disz) 7(disz) 8(disz) 9(disz) ganba_
 en: 6 7 8 9, the rate (in grain)
19. _1(barig) sze szum2 sze he2-e3_
 en: 1 barig I give. Let the grain rise
20. _u3 he2-e11_-ma
 en: or fall so that
21. _ganba ib2-sa2_
 en: the rates in-kind are equal.
  double ruling
column 2
1. _ganba 3(disz) ku6-a 5(disz) sila3_
 en: (Problem 15:) Rate in-kind for 3 fish, 5 sila3
2. _5(disz) ku6-a ku6 x-x_
 en: for 5 fish, fish ...
3. _sze gar-gar_-ma _4(asz) 1(barig) 4(ban2) 5(disz)? <sila3>_
 en: The grain I added: 4 (gur) 1 barig 4 ban2 5 (2?) (sila3)
4. _ku6-a gar-gar_-ma _ku6_
 en: The fish I added. Let the fish
5. _sze he2-e3 u3 he2-e11_-ma
 en: and the grain rise or fall
6. _ku6-a ib2-sa2_
 en: so that the fish are equal.
  double ruling
7. ma-la _ganba hi-a nagga_
 en: (Problem 16:) As much as the rates in-kind of the lead
8. _ku3 i3?-la2_-ma
 en: silver I weighed and
9. _nagga sa10_
 en: lead I bought.
10. _ku3 u3 nagga gar-gar_-ma
 en: The silver and the lead I added:
11. _7(disz) ma-na ku3 u3 nagga_
 en: 7 mana. The silver and the lead
12. _en-nam_
 en: are how much?
  double ruling
13. _na4 szu-ti-a_-ma
 en: (Problem 17:) Stones I received and
14. _ki-la2-bi nu-zu_
 en: their weight I don’t know.
15. _6(disz)-ta sa10_
 en: 6 (stones) per (gin2) I bought.
16. _6(disz)-ta ku3-sig17 gar-ra_
 en: 6 gold inlaid (stones) per (gin2 I bought).
17. _ku3-sig17 gar-ra_
 en: Gold inlaid (stones),
18. a-na _6(disz)-ta sa10_
 en: as much as 6 (stones) per (gin2) I bought.
19. _na4 ku3-babbar en-nam_
 en: The stone, the silver how much
20. _gar-gar_-ma _1/2(disz) ma-na 1(disz) 1/2(disz) gin2_
 en: did I add? 1/2 mana 1 1/2 gin2
21. _x ma na? gar-gar_-ma
 en: ... I added and
22. _1(disz) ma-na 3(disz) gin2_
 en: 1 mana 3 gin2.
  double ruling
23. ($ blank space $) _dub 3(disz)-kam-ma_
 en: 3rd tablet.
  blank space is erasure

Consult previous versions and their differences
Consult sign list of Old Babylonian (ca. 1900-1600 BC)
Consult word list of Old Babylonian (ca. 1900-1600 BC)

  • Artifact type: Tablet
  • Material: Clay
  • Measurements (mm):
  • Weight:
  • Artifact Preservation:
  • Condition Description:
  • Join Information:
  • Seal no.:
  • Seal information:
  • Artifact comments:

  • primary: MKT 1,, 513

    [Neugebauer1935-1937MKT1] Neugebauer, Otto E. 1935-1937. Mathematische Keilschrift-Texte.

  • history: New MCT,, §11.1 YBC 04698

    [Friberg2016NewMCT] Friberg, Jöran, and Farouk N. H. al Rawi. 2016. New Mathematical Cuneiform Texts. Sources and Studies in the History of Mathematics and Physical Sciences. Cham : Springer.

  • history: MKT 3, 042, TMB 214,

    [sec46941] N.d.

  • history: Middeke-Conlin, Robert & Proust, Christine, CDLJ 2014/003,

    [sec46942] N.d.

  • Composite No.:
  • Museum No.: YBC 04698
  • Accession No.:

Created Creator Type Authors Project Reviewer Status Action
2023-01-19 at 10:20:17 Pagé-Perron, Émilie Artifact Földi, Zsombor J.; Jiménez, Enrique; Pagé-Perron, Émilie Electronic Babylonian Library Pagé-Perron, Émilie approved View
2014-01-20 at 14:12:56 Englund, Robert K. Atf Englund, Robert K. CDLI approved View
2014-01-20 at 14:07:28 Englund, Robert K. Atf Englund, Robert K. CDLI approved View
2014-01-20 at 13:54:07 Englund, Robert K. Atf Englund, Robert K. CDLI approved View
2014-01-20 at 11:12:52 Englund, Robert K. Atf Englund, Robert K. CDLI approved View
2005-02-01 at 00:00:00 CDLI Artifact Friberg, Jöran; Guerra, Dylan; Middeke-Conlin, Robert; Peterson, Jeremiah CDLI approved View

Consult this artifact as presented on the website of collections and projects:

General Notes: -
CDLI Notes: -
Cite this Artifact
“MKT 1, 513 Artifact Entry.” (2005) 2023. Cuneiform Digital Library Initiative (CDLI). February 1, 2023. https://cdli.ucla.edu/P255010.
MKT 1, 513 artifact entry (No. P255010). (2023, February 1). Cuneiform Digital Library Initiative (CDLI). https://cdli.ucla.edu/P255010 (Original work published 2005)
MKT 1, 513 artifact entry (2023) Cuneiform Digital Library Initiative (CDLI). Available at: https://cdli.ucla.edu/P255010 (Accessed: April 16, 2024).
@misc{2023MKT,
	note = {[Online; accessed 2024-04-16]},
	year = {2023},
	month = {feb 1},
	title = {MKT 1, 513 artifact entry},
	url = {https://cdli.ucla.edu/P255010},
	howpublished = {https://cdli.ucla.edu/P255010},
}


TY  - ELEC
DA  - 2023/2/1/
PY  - 2023
ID  - P255010
LB  - CDLI:P255010
M1  - 2024/4/16/
TI  - MKT 1, 513 artifact entry
UR  - https://cdli.ucla.edu/P255010
ER  -
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