Thus the portions of line moved over successively by the point may be represented by the descending series: 1/2, 1/4, 1/8, 1/16,.

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[Greek omicron symbol] Now, it is quite true that the motion of the point can be described in a number of different ways; but the important thing to remark here is that, if the motion really is uniform, and if the line really is infinitely divisible, this series must, as satisfactorily as any other, describe the motion of the point.

And it would be absurd to maintain that _a part_ of the series can describe the whole motion.