... Aristotle was aware of the important discoveries of Eudoxus which affected profoundly the exposition of the Elements by Euclid . One allusion clearly shows that Aristotle knew of Eudoxus 's great Theory of Proportion which was expounded by Euclid in his Book V, and recognised the importance of it. Another passage recalls the fundamental assumption on which Eudoxus based his ' method of exhaustion ' for measuring areas and volumes; and, of course, Aristotle was familiar with the system of concentric spheres by which Eudoxus and Callippus accounted theoretically for the independent motions of the sun, moon, and planets.
... Aristotle ay kamalayan ng mga mahalagang discoveries ng Eudoxus na apektado profoundly ang pagsasaysay ng mga Sangkap ng Euclid. Parunggit ng isang malinaw na nagpapakita na Aristotle alam ng Eudoxus' s great teorya ng katapat na kung saan ay expounded by Euclid sa kanyang Book V, at kinikilala ang kahalagahan ng mga ito. Ibang-dagat recalls ang pangunahing palagay sa kung saan Eudoxus batay sa kanyang 'paraan ng pagkaubos' para sa pagsukat lugar at volume; at, of course, Aristotle ay pamilyar sa mga sistema ng konsentriko spheres sa pamamagitan ng na Eudoxus at Callippus accounted theoretically para sa independiyenteng motions ng Linggo, Buwan, at planets.