On Paradoxical Machines

...of the hundred, but for those measured by the ten original: "dekados"; the second order of numbers in the Greek decimal system, such as with the names of the tens? and? of the same numbers, one must measure?. Often the same [numbers] are visible through the number which has been subtracted? from the fifth. And because [a number] multiplied? many times makes? twenty thousands, the? twenty? therefore? together produces two myriads original: "myriadas"; the standard Greek unit for 10,000, producing that which arises from the alpha-beta original: "ab"; likely referring to the product of 1 and 2, or specific variables in a diagram. As for the linear [calculation], it is clear that we live? until? six hundred and twenty from Apollonius : —

17 Concerning the theorem, every? multitude is the second part? of those in the hundred.

A horizontal diagram line features vertical tick marks. Underneath the line, the Greek letters Alpha (Α), Beta (Β), Gamma (Γ), Delta (Δ), Epsilon (Ε), Zeta (Ζ), Eta (Η), and Theta (Θ) are spaced equally from left to right, representing the numbers 1 through 9. Above the line, faint dots or smaller marks correspond to each letter position, likely representing numerical orders, indices, or exponents used in the calculation system.

...measured by the ten, the sand?-multitude?, the number? of the two [orders], because having numbered the seven? of all?, [it is] measured by the thousand, but [also] measured by the hundred. And two? therefore?, those of the hundreds, the thirty-five, which? together again? [are] forty-five? multiplied by themselves. This is clear? from? the? number?: on one hand, the [result] of the alpha-beta? the [number] of the many numbers, that the [ones] are fourteen and three sixty number of the eight? [and] five?; but if also forty? until? one? and? thirty?, the [ratio] to them of the hundred itself? of the five-hundred-thirty? two-thousand-three-hundred-thirty-five?; that is, of the greater [number] until the greater? number, the thirty? are added and multiplied?. Of the multitude of the numbers of the four?, being measured by the hundred according to the seventh? [order], our? Apollonius measures them each? as the [number] of the numbers, the thirty-five; [the number] of myriads is as many as there are in the hundreds. The fixed sixty? numbers of the speed? and? thirty? until one, for one myriad together with the sixty?, that is, three hundred? [and] eighty? upon the following two [makes] eight hundred and eighty?, which being produced, makes the hundred-number of these same numbers. Therefore, the hundred-numbered count of the numbers, the alpha-beta myriads?, is as many as there are in the if? unit, the fixed and sixty-one?. Similarly, also the multitude of the numbers, the alpha original: "a'"; the numeral for 1 receiving the double?, such as? of the multitude of the numbers, the beta original: "b'"; the numeral for 2 measured by the four?, it occupies the former. But Apollonius concludes that from the numbers of the numbers, the thirty-five, the [number] of myriads is just as many; similarly sixty?, as many as are produced by the ten-fold of the five, such as? from the aforementioned multitude measured by the four, it occupies the two from the numbers of the numbers, the thirty-five myriads; there are as many as sixty?, as many as forty? [in] the hundred-fold of the five therefore of the number : —