Lahun Mathematical Papyri

Legend

• All the scripts (including the diagrams) are flipped to be read left to right.

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tp-ḥsb

Rubrum. Written in red.

m[j ḫpr]

j ḫpr restored from being partially or almost entirely damaged.

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Line number.

UC 32118B-1 & UC 32118B-2

UC 32134A

|1| [ꜥḥꜥ] 1/2 [1/4]=f ḫbj wḏꜣ [5]
|2| jn-m ḏd sw
jrj.ḫ[r=k 1] |3| r sꜣ 1/2 1/4
ḫpr.t jm pw 1/4 jr.[ḫ]r=k 1/4
|4| r gm,t wꜥ ḫprt jm pw zp 4
|5| jr.ḫr=k 5 zp 4 ḫprt jm pw 20
|6| jn 20 ḏd sw

UC 32134B

1. tp n sjtj

UC 32160

Diagram

• Over the circle: 12
• Inside the circle: 1365 1/3
• Left to the circle: 8

  
  

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Column 1

2/3  8
1/3  4
dmḏ 16
\.   16
\10 160
\5   80
dmḏ 256

Column 2

\.         256
 2         512
\4        1024
 2/3[sic]   85 1/3
dmḏ       1354 1/3

Column 3

dmḏ 110
\. 13 2/3 1/12
\. 12 2/3 1/6 1/12
\. 12 1/12
\. 11 1/6 1/12
\. 10 1/3 1/12
\. 9 1/3 1/6 1/12
\. 8 2/3 1/12
\. 7 2/3 1/6 1/12
\. 7 1/12
\. 6 1/6 1/12

Column 4

\ . 1/3 1/12
 2  2/3 1/6
 4  1 2/3
\8  3 1/3
dmḏ 3 2/3 1/12

UC 32162

Title:

[tp n] ḥsb n zpw nw zẖꜣ

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|1| [tp ...]
|2| [m ...]
|3| dmḏ  [...] m [...]
|4| jrj.ḫr=k pꜣ 40 zp 3
|5| ḫpr.t jm [pw] 120
jrj.ḫr=k |6| 1/10 [...] ḫpr=[t] jm p[w] 12
|7| jrj.ḫ[r]=k [pꜣ] [...] [...] [gm].t wꜥ
|8| ḫpr.t jm pw zp [1 1/3]
jrj.ḫr=k |9| pꜣ 12 zp 1 1/3
ḫpr.t jm pw 16
|10| jrj.ḫr=k qnb.t=f m 4
jrj.ḫr=k |11| 1/2 1/4 n 4
ḫpr.t jm pw 3
|12| ḫpr.t jm pw ḥꜣꜥj.t 10 n.t mḥ 4 r 3

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11

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12

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References

• Imhausen, A. (2002). Ägyptische Algorithmen: eine Untersuchung zu den mittelägyptischen mathematischen Aufgabentexten (Vol. 65). Otto Harrassowitz Verlag.
• UC 32134A
• UC 32134B
• UC 32160
• UC 32162