Book, Paragraph

 1 III, 5  |           as a whole, nor can it be half the one and half the other.
 2 III, 5  |          can it be half the one and half the other. For how should
 3  VI, 2  |      inasmuch as a thing asses over half a given magnitude in half
 4  VI, 2  |           half a given magnitude in half the time taken to cover
 5  VI, 2  |          length twice, or one and a half times, as great as that
 6  VI, 2  |             over a length one and a half times as great as that traversed
 7  VI, 4  |             of the motion to occupy half the time, less again to
 8  VI, 4  |        motion occupies all the time half the motion will occupy half
 9  VI, 4  |         half the motion will occupy half the time, and less of the
10  VI, 4  | being-in-motion that corresponds to half the motion will be less
11  VI, 5  |             time DZ has changed, in half the time there will be a
12  VI, 6  |           the primary time ChRh, in half the time a thing that is
13  VI, 6  |            time will have traversed half the distance. But if this
14  VI, 6  |        every other such period. But half the time finds an extreme
15  VI, 6  |            will have taken place in half the time and in fact in
16  VI, 6  |           all time is divisible, in half the time it will have completed
17  VI, 9  |        involves the conclusion that half a given time is equal to
18  VI, 9  |            originally occupying the half of the course from the starting-post
19  VI, 9  |      originally occupying the other half from the goal to the middle
20  VI, 9  |             first B has passed only half the A’s, and has consequently
21  VI, 9  |          consequently occupied only half the time occupied by the
22 VII, 4  |      alteration is undergone by one half of a body’s length and a
23 VII, 4  |           is accomplished the other half: can be say that in this
24 VII, 5  |      distance in a certain time and half the distance in half the
25 VII, 5  |            and half the distance in half the time, half the motive
26 VII, 5  |          distance in half the time, half the motive power will move
27 VII, 5  |          the motive power will move half the weight the same distance
28 VII, 5  |          same time. Let E represent half the motive power A and Z
29 VII, 5  |            the motive power A and Z half the weight B: then the ratio
30 VII, 5  |             that E can move twice Z half the distance G in the same
31 VII, 5  |            not follow that E, being half of A, will in the time D
32 VII, 5  |           certain amount of motion, half that power will cause motion
33 VII, 5  |         time: and the alteration of half of its object will occupy
34 VII, 5  |           of its object will occupy half as much time and in half
35 VII, 5  |            half as much time and in half as much time half of the
36 VII, 5  |            and in half as much time half of the object will be altered:
37 VII, 5  |             necessarily follow that half the force will occupy twice
38 VIII, 3 |             it does not follow that half the amount has previously
39 VIII, 3 |         been extruded or removed in half the time: the case of the
40 VIII, 8 |           distance can be traversed half the distance must be traversed,
41 VIII, 8 |          finishing-point of the one half and the starting-point of
42 VIII, 10|       magnitude in moving D will be half of EZ (assuming this to