雙語暢銷書《艾倫圖靈傳》第4章:彼岸新星(96)
They started with the same idea for the zeta-function summation, but then changed to a different design.
In this, a system of meshing gear wheels would rotate to simulate the circular functions required.
他想通過一個齒輪組的轉動，來模擬需要周期函數，The addition was to be done not by measuring length, but weight.
計算的結果並不體現在長度上，而是重量。
There would in fact be thirty wave-like terms to be added, each simulated by the rotation of one gear wheel.
他們要疊加30個周期函數，每一個都用一個齒輪組的轉動來模擬。Thirty weights were to be attached to the corresponding wheels, at a distance from their centres, and then the moment of the weights would vary in a wave-like way as the wheels rotated.
30個齒輪會分別掛上不同重量的物體，距圓心有一定的距離，隨着齒輪的轉動，這些物體的力矩會發生週期性的變化。The summation would be performed by balancing the combined effect of the weights by a single counterweight.
整個系統的力矩疊加在一起，再用一個單獨的重物來把它配平，這個單獨的重物就是計算的結果。The frequencies of the thirty waves required ran through the logarithms of the integers up to 30.
這30個周期函數的頻率，分別是30個整數的對數。To represent these irrational quantities by gear wheels they had to be approximated by fractions.
它們必須用分數進行近似，因爲無法用齒輪來表示無理數。Thus for instance the frequency determined by the logarithm of 3 was represented in the machine by gears giving a ratio of 34 × 31/57 × 35.
因此，比如說一個頻率是3的對數注，那麼表現在齒輪上，就是34×31/57×35。This required four gear wheels, with 34, 31, 57 and 35 teeth respectively, to move each other so that one of them could act as the generator of the 'wave'.
這就需要四個齒輪，分別有34, 31, 57和35個齒，它們組合起來，作爲一個波形發生器。Some of the wheels could be used two or three times over, so that about 80, rather than 120 gear wheels were required in all.
其中有些齒輪可以共用，所以一共需要大約80個齒輪，而不是120個。
