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Further Mathematical Texts from Old Babylonian Mê-Turran (Tell Haddad)
No full textOnly the last theree lines of the solution algorithm in this exercies are (partly) preserved. Without the missing context, the object of the exercise cannot be decided, not even conjectured. Without further context, the translation of line 4\ub4 is very uncertain
Metrological Table Texts from Achaemenid Uruk
No full textThe corpus of published mathematical and/or metrological cuneiform texts from the 1st millennium BC is only moderately extensive. In Sec. 1.1 above, 34 Late Babylonian (Neo-Babylonian, Achaemenid, or Seleucid) texts dealing with many-place regular sexagesimal numbers were listed, and 11 of them were discussed in Chs. 1-2
Late Babylonian Tables of Many-Place Regular Sexagesimal Numbers, from Babylon, Sippar, and Uruk
No full textFor the notion of many-place regular sexagesimal numbers, and for many explicit examples, both Old and Late Babylonian, the reader is referred to Friberg, MSCT 1 (2007), Sec. 1.4 and App. 9. In particular, it is important to recall that a sexagesimal number n is called “regular” if another sexagesimal number n\ub4 can be found such that n times n\ub4 equals some power of 60. (In Babylonian “relative” place value notation, every power of 60 is written as ‘1’.) The number n\ub4 is called the “reciprocal” of n. In the following, it is conveniently referred to as rec. n
Five Texts from Old Babylonian Mê-Turran (Tell Haddad), Ishchali and Shaduppûm (Tell Harmal) with Rectangular-Linear Problems for Figures of a Given Form
No full textIM 121613 (see the hand copies in Figs. 5.1.20-21 below) is a large and fairly well preserved Old Babylonian clay tablet from ancient M\uea-Turran (the site Tell Haddad, situated in the Himrin basin near Diyala). The various fragments of the text were gathered together by Farouk Al-Rawi, who also made the hand copies of the text. Thanks are due to the excavators Dr. Nail Hanoun and Mr. Burhan Shakir for their permission to publish and for their support during the copying of the text
Direct and Inverse Factorization Algorithms for Many-Place Regular Sexagesimal Numbers
No full textBM 46550 is a small Neo-Babylonian clay tablet, published for the first time in Sec. 2.1 below. On the obverse of the tablet is a teacher’s model text, showing that the reciprocal of the 6-place regular sexagesimal number n= 1 01 02 06 33 45 is the 5-place sexagesimal number rec. n = 28 \ub7 126 = 58 58 56 38 24
An Ur III Table of Reciprocals without Place Value Numbers
No full textIn Fig. 13.1.1 below is shown a hand copy and conform transliteration of SM 2685, a clay tablet from the Suleimaniyah Museum in the Kurdistan region in northeastern Iraq. The clay tablets in the Suleimaniyah Museum are acquired in the antiquities market and are therefore unprovenanced, but in most cases probably from Old Babylonian Larsa. However, the writing on SM 2685 is such that the text can be either from the Neo-Sumerian Ur III period or Early Old Babylonian, and, as will be shown below, the atypical table of reciprocals inscribed on the tablet is clearly older than all earlier known Ur III tables of reciprocals
Six Fragments of Problem Texts of Group 6, from Late Old Babylonian Sippar
No full textBM 80078 is a relativelly large fragment originally forming the lower right cvorner of an Old Babyloinian clay tablet inscribed in two columns on the ovberse and two on ther reverse with a mathematical recombination text apparently with problems for bricks as a common theme
Goetze’s Compendium from Old Babylonian Shaduppûm and Two Catalog Texts from Old Babylonian Susa
No full textThe three tablets IM 52916 (in the present chapter, Sec. 10.1), and IM 52685 + IM 52304 (in Sec. 10.2) were published and correctly interpreted by Goetze in Sumer 7 (1951). Goetze called them together “a mathematical compendium from Tell Harmal”. The three tablets are very poorly preserved
CBS 8539. A Mixed Metrological Table Text from Achaemenid Nippur
No full textCBM 8539 is a fragment of a Large Combined mertological table, with sub-tables for lenth measure, of four kinds, for weight measure, and for capacity measure
More Mathematical Cuneiform Texts of Group 6 from Late Old Babylonian Sippar
No full textIn Ch. IV of Neugebauer and Sachs, MCT (1945), A. Goetze divided published Old Babylonian mathematical texts without known provenance into 6 different groups with respect to their Akkadian orthography. Goetze’s classification was later refined and extended by J. H\uf8yrup in LWS (2002), Ch. IX. Groups 5 and 6 were classified by Goetze as “northern”
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