| 🇩🇪 Struve | 🇺🇲 Clagett | |
| XXXVIII, 1 | Form der Berechnung des Vermischens von Opferbroten, | Example of calculating the mixing of offering-bread. |
| 2 | wenn man dir nennt 20 (an Zahl), gemessen (als) 1/8 Scheffel, 40 (an Zahl), gemessen (als) 1/16 Scheffel. | If someone says to you: “20 measured (?) [as Horus-eye fraction] (i.e., 1/8 heqat of grain) and 40 measured (?) as [Horus-eye fraction] (i.e., 1/16 heqat of grain).” |
| 3 | Berechne du 1/8 von 20, weil 1/8 Scheffel 1/8 ist. | You are to take 1/8 of 20; because the [Horus-eye sign] is 1/8. |
| 4 | Es entsteht 2 1/2. Berechne du 1/16 von 40, weil | The result is 2 1/2. You are to take 1/16 of 40 because |
| 5 | 1/16 Scheffel 1/16 ist. Es entsteht 2 1/2. Berechne du | [the Horus-eye sign] is 1/16. The result is 2 1/2. You are to calculate |
| 6 | die Summe der beiden Hälften. Es entsteht 5. Berechne du die Summe von | the total of these [fractions of 20 and 40]. The result is 5. You are to calculate the total |
| XXXIX, 1 | den beiden Hälften. Es entstehen 60. Dividiere du 5 durch 60. | of these [initial numbers 20 and 40]. The result is 60. Then you divide 5 by 60, and |
| 2 | Es entsteht 1/12 (steht 1/16). Siehe: die Mischung wird 1/12, (steht 1/16) sein. Du hast richtig gefunden. | the result is 1/12 (corr. ex 1/16). Behold, the mixture is 1/12 (corr. ex 1/16). You will find [that it is] correct. |
Struve:
- x = [ ( 20 * 1/8) + 40 * 1/16 ) ] : (20 + 40)
- 20 * 1/8 = 2 1/2
- 40 * 1/16 = 2 1/2
- 2 1/2 + 2 1/2 = 5
- 40 + 20 = 60
- 5 : 60 = 1/12
🇩🇪 Lise:
- Information
- b1 = 20 Broten, Type 1 (🇺🇲 loaves of bread, type 1)
- bvbr1 = 8, Backverhältnis (🇺🇲 type 1 pefsu)
- s1 = Scheffeln für Type 1 (🇺🇲 heqat, type 1)
- b2 = 40 Broten, Type 2 (🇺🇲 loaves of bread, type 2)
- bvbr2 = 16, Backverhältnis (🇺🇲 type 2 pefsu)
- s2 = Scheffeln für Type 2 (🇺🇲 heqat, type 2)
- vbv = Vermischte Backverhältnis (🇺🇲 mixed pefsu)
- b1 = s1 * bvbr1
- b2 = s2 * bvbr2
- b1 + b2 = (s1 + s2) * vbv
- b1 = s1 * bvbr1
- b1 / bvbr1 = s1
- b2 = s2 * bvbr2
- b2 / bvbr2 = s2
- b1 + b2 = (s1 + s2) * vbv
- b1 + b2 = (b1 / bvbr1 + b2 / bvbr2) * vbv
- 20 + 40 = (20 / 8 + 40 / 16) * vbv
- 20 + 40 = (2 1/2 + 40 / 16) * vbv
- 20 + 40 = (2 1/2 + 2 1/2) * vbv
- 20 + 40 = 5 * vbv
- 60 = 5 * vbv
- 1/vbv = 5/60
- 1/vbv = 1/12
of offering-bread.
(i.e., 1/8 heqat of grain) and 40 measured (?) as [Horus-eye fraction]
(i.e., 1/16 heqat of grain).”