with a third added (4) when combined with five (20) and raised to the third power furnishes two harmonies; the first a square which is a hundred times as great (400 = 4 x 100) (Or the first a square which is 100 x 100 = 10,000. The whole number will then be 17,500 = a square of 100, and an oblong of 100 by 75.), and the other a figure having one side equal to the former, but oblong, consisting of a hundred numbers squared upon rational diameters of a square (i.e. omitting fractions), the side of which is five (7 x 7 = 49 x 100 = 4900), each of them being less by one (than the perfect square which includes the fractions, sc.

50) or less by (Or, ‘consisting of two numbers squared upon irrational diameters,’ etc. = 100. For other explanations of the