YBC 7289

• YBC 7289 - Wikipedia

  • A Cuneiform Tablet in the Digital Age - YouTube

  • Yale Babylonian Collection - Wikipedia

    • Round tablet. Obv drawing of square with diagonal and inscribed numbers; rev drawing of rectangle with inscribed diagonal but numbers badly preserved and unable to be restored; mathematical text, Obv: problem shows how the diagonal of a square is calculated as well as the square root of 2, a value found in the coefficient list YBC 2743; Old Babylonian. Clay. obv 10. - YPM BC 021354

Note

• 60進法による2の平方根が対角線上に記述されています

• 一辺の長さは\(30\)と書かれています

• 2の平方根の下に、その「逆数」であり「半分」の値が書かれています

\[ \left(\sqrt{2}\right)^{-1} = \frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2} \]