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**An approximation of the square root of 2** | **An approximation of the square root of 2** | ||
- | Artifact: Clay tablet\\ Provenience: | + | {{ : |
A diagram representing a square with its two diagonals is drawn on the obverse of the round tablet YBC 7289. Numbers in sexagesimal place value notation are written along one of the sides and one of the diagonals. Traces of a rectangle with one diagonal and numbers can be distinguished on the reverse. On the obverse, the number 30 is noted along one side, and the numbers 1.24.51.10 and 42.25.35 are noted below one diagonal. The number 1.24.51.10 corresponds to the diagonal of the square whose side is 1, and the number 42.25.35 corresponds to the diagonal of the square whose side is 30. | A diagram representing a square with its two diagonals is drawn on the obverse of the round tablet YBC 7289. Numbers in sexagesimal place value notation are written along one of the sides and one of the diagonals. Traces of a rectangle with one diagonal and numbers can be distinguished on the reverse. On the obverse, the number 30 is noted along one side, and the numbers 1.24.51.10 and 42.25.35 are noted below one diagonal. The number 1.24.51.10 corresponds to the diagonal of the square whose side is 1, and the number 42.25.35 corresponds to the diagonal of the square whose side is 30. | ||
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Bibliography: | Bibliography: | ||
- | Fowler, D.H. and Robson, E.R. (1998). ' | + | * Fowler, D.H. and Robson, E.R. (1998). ' |
+ | * Høyrup, Jens (2002), //Lengths, Widths, Surfaces. A Portrait of Old Babylonian Algebra and Its Kin//, Berlin & Londres: Springer, p. 261-265. | ||
- | Høyrup, Jens (2002), //Lengths, Widths, Surfaces. A Portrait of Old Babylonian Algebra and Its Kin//, Berlin & Londres: Springer, p. 261-265. | ||
- | \\ \\ | + | |
+ | [[objects71to80|Back to Objects 71-80]] |