This would mean that the square and all dimensions related to it would not be manageable. It has now been realised that in this context, the diagonal is nothing else but the diameter of the circle defined by the vault's circumference, while at the same time, as Heron's circle calculations, in which the practical diameter-values 7 and 14 were used, that the diagonal of the square, or diameter of the circle has been calculated with the tenfold of the exemplary value of 14 or else 140 Byzantine feet. If the dimension of the dome diameter of the Hagia Sophia is constructed with a value that fits to the approximation of π {\displaystyle \pi } (22/7) all derived values become rational: 70*22/7=220; 105*22/7=330; 140*22/7=440, ...