Book,  Paragraph

 1   I,  5 |        a width greater than any given width; thus the reasoning
 2   I,  6 |         in the following way. A given weight moves a given distance
 3   I,  6 |          A given weight moves a given distance in a given time;
 4   I,  6 |     moves a given distance in a given time; a weight which is
 5   I,  6 |        take half as long over a given movement. Further, a finite
 6   I,  6 |     been found greater than the given finite in the same proportion
 7   I,  6 |    between the infinite and the given finite; so that an infinite
 8   I,  7 |         finite, C the time of a given movement produced by one
 9   I,  7 |       the same agent produces a given effect on a greater and
10   I,  7 | infinite. (The proof of this is given in our discussion of movement,
11   I,  8 |       constraint. Further, if a given movement is due to constraint,
12   I,  8 |       about the centre has been given to the heavy body. And its
13   I,  11|   predicate "indestructible" is given because it is impossible
14  II,  3 |        for that reason to it is given the circular body whose
15  II,  6 |         its movement. For, as a given walk or a given exercise
16  II,  6 |       For, as a given walk or a given exercise on the harp cannot
17  II,  8 |     also from the proof already given of the continuity of the
18  II,  9 |      they assert that the sound given forth by the circular movement
19  II,  9 |        violent force, is easily given: it is that there is no
20  II,  11|  creator, clearly she will have given things which possess no
21  II,  12|     accounts of other stars are given by the Egyptians and Babylonians,
22  II,  12|        each has been separately given special movements of its
23  II,  13|      same account had not to be given of the water which carries
24  II,  13|       in a cup, when the cup is given a circular motion, though
25  II,  14|         for the reasons already given, but also because heavy
26  II,  14|        had occurred, would have given it. But the spherical shape,
27 III,  2 |      body is the further will a given force move it. Now let A,
28 III,  5 |         two grounds. The reason given may be-more crudely-that
29 III,  8 |         simple bodies are often given a shape by the place in
30 III,  8 |         the cold. For the shape given must be the contrary of
31 III,  8 |         be the contrary of that given to the hot, but there is
32  IV,  1 |      these powers have not been given any name, unless it is thought
33  IV,  2 |         plenum-no reason can be given for the relative lightness
34  IV,  4 |    region to which each name is given in opposition to the other