Book, Paragraph

 1 III, 3 |        the fact that there is one distance between two things which
 2 III, 3 |         two things which are at a distance from each other, that the
 3  IV, 8 |   thickest medium such and such a distance in such and such a time,
 4  IV, 8 |       found to traverse a certain distance, whether this be full or
 5  IV, 8 |          penetrated the cube to a distance equal to that which this
 6  IV, 12|        the movement goes with the distance and the time with the movement,
 7  IV, 12|      these attributes because the distance is of this nature, and the
 8  IV, 12|           And we measure both the distance by the movement and the
 9  IV, 12|           and the movement by the distance; for we say that the road
10  IV, 14|      after" with reference to the distance from the "now", and the "
11  IV, 14|           which the "now" is, the distance from the "now" will also
12  VI, 1 |          a walk over a particular distance without walking over that
13  VI, 1 |         without walking over that distance. Since, then, everything
14  VI, 1 |         moments: for if the whole distance is divisible and an equal
15  VI, 3 |         quicker has traversed the distance AB. That being so, the slower
16  VI, 3 |           same present traverse a distance less than AB, say AG. But
17  VI, 6 |          motion has traversed the distance KL in the primary time ChRh,
18  VI, 6 |           have traversed half the distance. But if this second thing
19  VI, 6 |           has traversed a certain distance in a certain time, the original
20  VI, 6 |           have traversed the same distance in the same time. Hence
21  VI, 9 |           it traverses the finite distance prescribed. These then are
22  VI, 10|           will have to traverse a distance equal to itself. Thus the
23  VI, 10|           continually traverses a distance equal to itself, will be
24  VI, 10|           in which it traverses a distance as great as itself. For
25  VI, 10|          has itself traversed any distance. But this is impossible,
26  VI, 10|        time it must traverse less distance, and thus the indivisible
27  VI, 10|       locomotion over an infinite distance, for it cannot traverse
28  VI, 10|         it cannot traverse such a distance.~It is evident, then, that
29 VII, 4 |       quicker (B) passes over the distance B’ and the slower (G) passes
30 VII, 4 |        slower (G) passes over the distance G’, B’ will be greater than
31 VII, 4 |          thing traverses an equal distance in less time than another:
32 VII, 4 |          locomotion over an equal distance in an equal time, we have
33 VII, 5 | traversing of a certain amount of distance: for at any moment when
34 VII, 5 |     always be a certain amount of distance that has been traversed
35 VII, 5 |           movement have moved B a distance G in a time D, then in the
36 VII, 5 |          will move 1/2B twice the distance G, and in 1/2D it will move
37 VII, 5 |          will move 1/2B the whole distance for G: thus the rules of
38 VII, 5 |          a given weight a certain distance in a certain time and half
39 VII, 5 |         certain time and half the distance in half the time, half the
40 VII, 5 |          half the weight the same distance in the same time. Let E
41 VII, 5 |         force will cause the same distance to be traversed in the same
42 VII, 5 |           time. But if E move Z a distance G in a time D, it does not
43 VII, 5 |         can move twice Z half the distance G in the same time. If,
44 VII, 5 |        time. If, then, A move B a distance G in a time D, it does not
45 VII, 5 |          the ship-haulers and the distance that they all cause the
46 VII, 5 |        one of two weights a given distance in a given time, then the
47 VII, 5 |         combined weights an equal distance in an equal time: for in
48 VIII, 8|          we admit that before any distance can be traversed half the
49 VIII, 8|         can be traversed half the distance must be traversed, that
50 VIII, 8|        result that when the whole distance is traversed we have reckoned
51 VIII, 8|        occupied in traversing the distance contains within itself an
52 VIII, 8|          time no less than in the distance. But, although this solution
53 VIII, 8|       inadequate. For suppose the distance to be left out of account
54 VIII, 8|           dividing the continuous distance into two halves one point
55 VIII, 8|          in this way, neither the distance nor the motion will be continuous:
56 VIII, 8|        units either of time or of distance we must reply that in a
57 VIII, 8|  accidental characteristic of the distance to be an infinite number
58 VIII, 8|          at the greatest possible distance from one another), and they
59 VIII, 9|           to traverse an infinite distance. On the other hand rectilinear