10
A HISTORY OF MATHEMATICAL NOTATIONS
In the fifth column the multiplicand is 44(26)(40) or 4449. The last two lines seem to mean "60²÷44(26)(40)=81, 60²÷81=44(26)(40)."
| First Column . . . . gal (?) -bi 40 -ám šu a- na gal-bi 30 -ám |
Fifth Column | ||
| 44(26)(40) | |||
| igi 2 | 30 | 1 | 44(26)(40) |
| igi 3 | 20 | 2 | [1]28(53)(20) |
| igi 4 | 15 | 3 | [2]13(20) |
| igi 5 | 12 | 4 | [2]48(56)(40)* |
| igi 6 | 10 | 5 | [3]42(13)(20) |
| igi 8 | 7(30) | 6 | [4]26(40) |
| igi 9 | 6(40) | 7 | [5]11(6)(40) |
| igi 10 | 6 | 9 | [6]40 |
| igi 12 | 5 | 10 | [7]24(26)(40) |
| igi 15 | 4 | 11 | [8]8(53)(20) |
| igi 16 | 3(45) | 12 | [8]53(20) |
| igi 18 | 3(20) | 13 | [9]27(46)(40)* |
| igi 20 | 3 | 14 | [10]22(13)(20) |
| igi 24 | 2(30) | 15 | [11]6(40) |
| igi 25 | 2(24) | 16 | [11]51(6)(40) |
| igi 28* | 2(13)(20) | 17 | [12]35(33)(20) |
| igi 30 | 2 | 18 | [13]20 |
| igi 35* | 1(52)(30) | 19 | [14]4(26)(40) |
| igi 36 | 1(40) | 20 | [14]48(53)(20) |
| igi 40 | 1(30) | 30 | [[22]13(20) |
| igi 45 | 1(20) | 40 | [29]37(46)(40) |
| igi 48 | 1(15) | 50 | [38]2(13)(20)* |
| igi 50 | 1(12) | 44(26)(40)a-na 44(26)(40) | |
| igi 54 | 1(6)(40) | [32]55(18)(31)(6)(40) | |
| igi 60 | 1 | 44(26)(40) square | |
| igi 64 | (56)(15) | igi 44(26)(40) | 81 |
| igi 72 | (50) | igi 81 | 44(26)(40) |
| igi 80 | (45) | ||
| igi 81 | (44)(26)(40) | ||
| Numbers that are incorrect are marked by an asterisk (*). | |||
14. The Babylonian use of sexagesimal fractions is shown also in a clay tablet described by A. Ungnad,[1] In it the diagonal of a rectangle whose sides are 40 and 10 is computed by the approximation
- ↑ Orientalische Literaturzeitung (ed. Peise, 1916), Vol. XIX, p. 363–68. See also Bruno Meissner, Babylonien und Assyrien (Heidelberg, 1925), Vol. II, p. 393.
