Book, Paragraph
1 I, 2 | so the one is many) or by division, as the whole and its parts.
2 II, 4 | and how they fit into our division of causes.~
3 III, 4 | is infinite.~(2) From the division of magnitudes-for the mathematicians
4 III, 4 | in respect of addition or division or both.~
5 III, 6 | either by addition or by division.~Now, as we have seen, magnitude
6 III, 6 | actually infinite. But by division it is infinite. (There is
7 III, 6 | generations of man, and in the division of magnitudes. For generally
8 III, 6 | thing as the infinite by division. In a finite magnitude,
9 III, 6 | in proportion as we see division going on, in the same proportion
10 III, 6 | the infinite in respect of division. For it will always be possible
11 III, 6 | just as in the direction of division every determinate magnitude
12 III, 6 | inverse of the infinite by division, as we have said. It is
13 III, 7 | infinite in the direction of division. For the matter and the
14 IV, 6 | impossible to draw a line of division beyond which the statement
15 IV, 14| are in one and the same division of it. For a figure of the
16 VI, 2 | at every turn involves a division, it is evident that all
17 VI, 3 | time at the actual point of division. Also the present will be
18 VI, 3 | something else: for the division which yields it will not
19 VI, 3 | yields it will not be a division proper. Furthermore, there
20 VI, 3 | it. Thus we shall have a division of the present, whereas
21 VI, 4 | same result follows if the division of OI reveals a surplus
22 VI, 4 | is what is meant by the division of motion according to the
23 VI, 4 | susceptible of another kind of division, that according to time.
24 VI, 4 | changes is so): for the division of one term will involve
25 VI, 4 | one term will involve the division of all. So, too, in the
26 VI, 5 | because the process of division may be continued without
27 VI, 6 | extreme in the point of division. Therefore motion will have
28 VI, 6 | of it: for as soon as any division is made there is always
29 VI, 6 | in change the process of division is infinite, just as lines
30 VI, 9 | bisection-argument (for in both a division of the space in a certain
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