But since every thing which is moved, is moved in something, and in a certain. time, and since there is a motion of every thing which is moved, it is necessary that there should be the.same divisions of time and motion, of the being moved, and of that which is moved, and of that in which motion is effected; except that there is not similarly a division of all things in which motion is; but of quantity the division is essential, and of quality according to accident: for let the time in which any thing is moved be A, and the motion B. If, therefore, it accomplishes the whole motion in the whole time, it will certainly effect a less motiom in half the time; and this again being divided, it will effect a motion less than this; and thus perpetually. In like manner, if motion is divisible, time also is divisible: for if it accomplishes the whole motion in the whole time, it will accomplish half in half the time: and again, less than half, in less than half the time. After the same manner also, the being moved will be divided: for let the being moved be C. According to the half of the motion, therefore, it will be less than the whole; and again, according to the half of the half; and thus perpetually. It is possible also, admitting the being moved to be according to each of the motions, as for instance according to D C and CE, to say that the whole will be moved according to the whole motion: for if something else corresponds to the whole motion, there will be many things of which the being moved may be asserted, according to the same motion; just as we have shown that motion is divisible into the motions of the parts: for if the being moved is assumed according to each motion, the whole will be continued. In a similar manner also, it may be shown that length is divisible, and, in short every thing in which there is mutation (except that some things are divided according to accident) because that which is cbanged is divisible; for one part being divided, all the parts will be divided. And so far as pertains to their being finite or infinite, the thing will similarly take place in all of them. But it especially follows, that all may be divided, and this to infinity, from that which is changed; for in that which is changed, the divisible and the infinite are immediately inherent. That the divisible, indeed, is inherent, has been shown before; but that the infinite is also, will be manifest in what follows.
