Book 10
1.58
We must consider the minimum perceptible by sense as not corresponding to that which is capable of being traversed, i.e. is extended,That which admits the successive transitions from part to part. As Bignone remarks, a mathematical series, whether of integers or fractions or powers, might be so described. But Epicurus is obviously dealing with areas and surfaces; since generally to us the visible will also be extended. nor again as utterly unlike it, but as having something in common with the things capable of being traversed, though it is without distinction of parts. But when from the illusion created by this common property we think we shall distinguish something in the minimum, one part on one side and another part on the other side, it must be another minimum equal to the first which catches our eye. In fact, we see these minima one after another, beginning with the first, and not as occupying the same space; nor do we see them touch one another’s parts with their parts, but we see that by virtue of their own peculiar character (i.e. as being unit indivisibles) they afford a means of measuring magnitudes: there are more of them, if the magnitude measured is greater; fewer of them, if the magnitude measured is less.
