Book, Paragraph

 1  VI, 1 | composed of indivisibles. So O traversed A when its motion was D,
 2  VI, 2 |        and that the slower has traversed the magnitude GD in the
 3  VI, 2 |      let us suppose that it is traversed in infinite time G, and
 4  VI, 2 |    that infinite length can be traversed in a finite time. It is
 5  VI, 2 |    half times as great as that traversed by the slower, and that
 6  VI, 3 |      present N the quicker has traversed the distance AB. That being
 7  VI, 6 |    that which is in motion has traversed the distance KL in the primary
 8  VI, 6 |        the same time will have traversed half the distance. But if
 9  VI, 6 |    whose velocity is equal has traversed a certain distance in a
10  VI, 6 |    that is in motion must have traversed the same distance in the
11  VI, 7 |     and a greater magnitude is traversed in a longer time, it is
12  VI, 7 |        the finite magnitude is traversed in a finite time. For if
13  VI, 7 |     the stretch must have been traversed before another part (this
14  VI, 7 |        of the stretch has been traversed: for as the time lengthens
15  VI, 7 |       of the magnitude will be traversed, because we assume that
16  VI, 7 |       of the magnitude will be traversed: and similarly in each part
17  VI, 7 | infinite magnitude will not be traversed in finite time: and it makes
18  VI, 7 |       and the finite will have traversed the infinite: for it would
19  VI, 10|    that in which it has itself traversed any distance. But this is
20 VII, 5 |      of distance that has been traversed and a certain amount of
21 VII, 5 |        the same distance to be traversed in the same time. But if
22 VIII, 8|        a straight line that is traversed, but also in the case of
23 VIII, 8|     before any distance can be traversed half the distance must be
24 VIII, 8|      half the distance must be traversed, that these half-distances
25 VIII, 8|     when the whole distance is traversed we have reckoned an infinite
26 VIII, 8|       motion the traveller has traversed an infinite number of units
27 VIII, 8|        the same ground must be traversed repeatedly and two contrary
28 VIII, 8|       is the same ground to be traversed repeatedly; thus in alteration
29 VIII, 8|    still the same ground to be traversed repeatedly. Moreover it
30 VIII, 9|     follows. The straight line traversed in rectilinear motion cannot
31 VIII, 9|    there were, it would not be traversed by anything in motion: for
32 VIII, 9|   finishing-point of the space traversed; consequently since this
33 VIII, 9|        state of rest as having traversed its course, because in its