数学粘土板VAT 672の一所見

概要

論文の詳細を見る
It is difficult to interpret the contents of VAT 672 Vs because of the peculiar terminologies and several broken lines. Especially A-GI is a knotty term which is not found in other mathematical' texts. I examined the calculation most of which remains on the tablet and have reached the conclusion that Babylonian scribe calculated a base-area and a volume of a rectangular parallelepiped whose length was 40 (GAR) and height was 9 (kus-numun), consequently A-GI was a side-area which is the product of a width by a height (unit; GAR・kus). Except this A-GI, the Babylonian mathematical term corresponding to side-area is not yet confirmed but the concept is clearly recognized in some texts, for example in BM 85194. Besides I point out a possible explanation that ljurtneu is not a precipice but a mathematical term for a side face or a perpendicular plane. Restoration of broken lines such as VAT 672 Vs is very difficult and I present a tentative plan as follows. line 1. [ik 9 sukud] line 6.9 [sukud gar] lines 7-9. 18 igi a-[na 1, 40] [a-sa] as-[ku-nu TUM30] [sahar-hi-a igi] In line 7, I replace a numeral 2 which is transliterated by Neugebauer for a cuneiform script with a because a numeral must not appear here.
日本科学史学会の論文
1987-04-07