A Remarkable Collection of Babylonian Mathematical Texts: by Jöran Friberg

By Jöran Friberg

The publication analyzes the mathematical capsules from the personal number of Martin Schoyen. It contains analyses of capsules that have by no means been studied prior to. this offers new perception into Babylonian knowing of refined mathematical items. The ebook is thoroughly written and arranged. The drugs are labeled in response to mathematical content material and function, whereas drawings and images are supplied for the main attention-grabbing drugs.

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Extra resources for A Remarkable Collection of Babylonian Mathematical Texts: Manuscripts in the Schøyen Collection: Cuneiform Texts I

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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. , and 1 finger = ;00 10 n. This means that the result of exercise # 4 on MS 3955 can be expressed in the following way, in the appropriate units of length and area measure: A rectangular field with the sides 10 ninda 4 cubits 2 fingers and 9 1/2 ninda 2 cubits has an area close to 1 iku.

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.

The explanations of the data in the multiplication exercises discussed in Sec. ) In the case of the present text, MS 2831, the five given numbers can be explained as the “round” number 10, followed by four “almost round numbers” of the form ‘10 plus a simple fraction of 10’. Indeed, 10 11 11;40 12 12;30 = = = = 10 + 1 10 + 1;40 10 + 2 10 + 2;30 = = = = = 10 10 + 1/10 of 10 + 1/6 of 10 + 1/5 of 10 + 1/4 of 10 10 10 10 20 1. Old Babylonian Arithmetical Hand Tablets Why the teacher chose to ask his student to compute the squares of such a series of almost round numbers is not directly obvious.

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