Book,  Paragraph

 1   I,  1 |         it is determined by the number three, since beginning and
 2   I,  1 |         middle and end give the number of an "all", and the number
 3   I,  1 |     number of an "all", and the number they give is the triad.
 4   I,  1 |         make further use of the number three in the worship of
 5   I,  1 |        all": three is the first number to which the term "all"
 6   I,  1 |      magnitudes depend upon the number of the dimensions, one sort
 7   I,  3 |      what has been said why the number of what we call simple bodies
 8   I,  4 |      two points are infinite in number. Even if we are confined
 9   I,  5 |        of bodies finite both in number and in magnitude is itself
10   I,  5 |     itself finite in respect of number and magnitude: its quantity
11   I,  5 |       us to believe in infinite number, because there is no maximum,
12   I,  6 |      into the greater a certain number of times, and take BF bearing
13   I,  7 |         a finite or an infinite number of kinds. That the kinds
14   I,  7 |       movements being finite in number, the kinds of simple body
15   I,  7 |         be composed of a finite number of kinds, then each of its
16   I,  8 |        for these are limited in number, and the distinction of
17   I,  8 |         plain the character and number of the bodily elements,
18   I,  8 |         in general, how many in number the various places are.~
19   I,  9 |      are several or infinite in number. Hence there either are,
20   I,  9 |       possible; and time is the number of movement. But in the
21   I,  10|      the worlds are infinite in number the view is more plausible.
22   I,  12|         moments are infinite in number, it is clear that a generated
23  II,  4 |       circle corresponds to the number one, the triangle, being
24  II,  4 |        two right angles, to the number two. But if one is assigned
25  II,  9 |      all the stars, so great in number and in size, are moving
26  II,  12|        why we find the greatest number of movements in the intermediate
27  II,  12|     thus further increasing the number of movements, while another
28 III,  1 |   fiction, can they specify the number and character of the parts
29 III,  1 |         remains when the common number, four, is subtracted. A
30 III,  1 |   elements. Again, if it is the number of planes in a body that
31 III,  2 | infinitely varied. For a finite number of causes would produce
32 III,  3 |        after that what is their number and character. The answer
33 III,  4 |       are finite or infinite in number, and, if finite, what their
34 III,  4 |      and, if finite, what their number is. Let us first show reason
35 III,  4 |    reason or denying that their number is infinite, as some suppose.
36 III,  4 |      the hypothesis of a finite number will give identical results.
37 III,  4 |       better to assume a finite number of principles. They should,
38 III,  4 |     finite either in kind or in number. Again, if body is distinguished
39 III,  4 |         there is a limit to the number of differences (for the
40 III,  4 |     which are in fact finite in number, though this requires proof),
41 III,  4 |      necessarily a limit to the number of elements.~There is, further,
42 III,  4 |        to them, are infinite in number and indivisible in mass:
43 III,  4 |       assume are not limited in number, though such limitation
44 III,  4 |   clements would be infinite in number. The atoms differ in figure,
45 III,  4 |      bodies must be the same in number as they. Again, if every
46 III,  4 |        simple movement, and the number of simple movements is not
47 III,  4 |    motions are only two and the number of places is not infinite,
48 III,  4 |    should have to deny that the number of elements is infinite.~
49 III,  5 |                     5~Since the number of the elements must be
50 III,  5 |        be several and finite in number.~
51 III,  6 |         has been answered their number and character will be manifest.
52 III,  8 |       it recognizes are more in number. Secondly, it is manifest
53  IV,  2 |         composed of the greater number of identical parts is relatively
54  IV,  2 |        is composed of a smaller number is relatively light. As
55  IV,  2 |     weight due to the increased number of triangles. But the palpable
56  IV,  2 |         difference being in the number of such parts, which must
57  IV,  2 |        are composed of an equal number of primary parts: for that
58  IV,  2 |       that a body composed of a number of solid parts equal to,
59  IV,  3 |      now is. In general, when a number of similar and undifferentiated
60  IV,  5 |         due to superior size or number of the constituent bodies
61  IV,  5 |  quantity will contain a larger number of triangles or solids or