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New PDF release: A Remarkable Collection of Babylonian Mathematical Texts:

By Jöran Friberg

The e-book analyzes the mathematical capsules from the personal selection of Martin Schoyen. It contains analyses of pills that have by no means been studied sooner than. this gives new perception into Babylonian realizing of subtle mathematical gadgets. The publication is punctiliously written and arranged. The capsules are labeled in keeping with mathematical content material and goal, whereas drawings and images are supplied for the main fascinating pills.

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Additional info for A Remarkable Collection of Babylonian Mathematical Texts: Manuscripts in the Schøyen Collection: Cuneiform Texts I

Example text

9;40 n. Similarly, 1/60 of 10;10 10 n. is approximately equal to ;10 10 n. Therefore the extended longer side of the initial rectangle would be 10;10 10 n. + 1/60 of 10;10 10 n. = (approximately) 10;10 10 n. + ;10 10 n. = 10;20 20 n. Since fractions of the square ninda were often not mentioned in Old Babylonian texts, the area of the expanded rectangle would be close enough to the wanted area. Indeed, 10;20 20 n. · 9;40 n. = 1 39;56 33 20 sq. n. = (approximately) 1 40 sq. n. = 1 iku. As for the lengths of the sides expressed in conventional Old Babylonian units of length, one has to know that 1 ninda was equal to 12 cubits, and that 1 cubit was equal to 30 fingers.

2 below). In the remaining cases, a table of square sides would be of no help. Instead, it is likely that the square sides were computed by use of what may be called the “Old Babylonian square side rule”, incorrectly known as “Heron’s rule” (see Friberg, BagM 28 (1997) § 8). This is a rule for the computation of relatively good approximations to a square side. When the given area is an exact square, the computation will yield an exact answer, as in the following example: 10 0. How to Get a Better Understanding of Mathematical Cuneiform Texts sqs.

Against 18 1. Old Babylonian Arithmetical Hand Tablets this background, the construction of the side numbers appearing in exercise # 4 on MS 3955 can be explained as follows. (Cf. the extensive discussion in Sec. 1 b below of the numbers associated with a drawing of a trapezoid on the round clay tablet MS 2107. See also the discussion in Appendix 6 below of the Old Akkadian exercises DPA 34 (Fig. 1) and A 786 (Fig. ) In exercise # 3, the author of the text had shown that a nearly square rectangle with the sides 10;10 10 ninda and 9;30 ninda has the area 1 36;36 35 square ninda.

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