Book, Paragraph

 1  II, 4  |          thing that comes from a given seed but an olive from one
 2  II, 8  |         normally come about in a given way; but of not one of the
 3 III, 2  |      motion that the others have given, and also from the difficulty
 4 III, 5  |      while air is infinite and a given quantity of fire exceeds
 5 III, 5  |     point a general proof can be given which applies equally to
 6 III, 6  |        we shall not traverse the given magnitude. But if we increase
 7 III, 6  |          part which is outside a given part. The description depends
 8  IV, 1  |        too might be held to have given a correct account of it
 9  IV, 6  |         putting down the account given by those who say that it
10  IV, 11 |          so, both for the reason given (for we can use the middle
11   V, 1  |    definition of motion has been given above, from which it will
12   V, 6  |          the same account may be given of becoming and perishing:
13  VI, 1  | indivisibles. Now for the reason given above they cannot be continuous:
14  VI, 2  |         the definition sometimes given of "the quicker". Suppose
15  VI, 2  |          thing asses over half a given magnitude in half the time
16  VI, 2  |     limit in one direction being given. The same reasoning will
17  VI, 7  |      thing has been moved in the given time, and let GD be the
18  VI, 7  |    reason being the same as that given above: in part of the time
19  VI, 9  |        The third is that already given above, to the effect that
20  VI, 9  |       the conclusion that half a given time is equal to double
21 VII, 5  |          be observed. Again if a given force move a given weight
22 VII, 5  |          if a given force move a given weight a certain distance
23 VII, 5  |       does not follow that, if a given motive power causes a certain
24 VII, 5  |       moves one of two weights a given distance in a given time,
25 VII, 5  |    weights a given distance in a given time, then the forces in
26 VII, 5  |       Surely it does, for in any given case we have a definite
27 VIII, 2 |        question whether the note given by a single string is one
28 VIII, 10|      lesser fraction of the time given. Therefore the force must
29 VIII, 10|         also be finite: for if a given force moves something in