Book,  Paragraph

 1   I,  2 |       to the imperfect, and the circle is a perfect thing. This
 2   I,  3 |          then, which moves in a circle cannot possibly possess
 3   I,  4 |     satisfactory to construct a circle and treat motion "along
 4   I,  4 |      example, taking a complete circle, motion from E to F on the
 5   I,  4 |      again can motion along the circle from A to B be regarded
 6   I,  4 |      even if the motion round a circle is the contrary of the reverse
 7   I,  4 |   because that which moves in a circle, at whatever point it begins,
 8   I,  5 |       The body which moves in a circle must necessarily be finite
 9   I,  5 |        the heavens revolve in a circle, and by argument also we
10   I,  5 |  directions. Let ACE describe a circle, revolving upon C as centre.
11   I,  5 |       then, cannot revolve in a circle; nor could the world, if
12   I,  5 |     Whether it be a square or a circle or a sphere, it cannot be
13   I,  5 |    infinite sphere or square or circle, and where there is no circle
14   I,  5 |   circle, and where there is no circle there can be no circular
15   I,  5 |       follows that, an infinite circle being itself an impossibility,
16   I,  5 |         refuses to complete the circle.~(6) Again, if the heaven
17   I,  5 |         infinite and moves in a circle, we shall have to admit
18   I,  5 |       the body which moves in a circle is not endless or infinite,
19   I,  7 |       the infinite to move in a circle. This, indeed, would be
20   I,  7 |         the one hand, move in a circle. For there is no centre
21   I,  7 |       and that which moves in a circle moves about the centre.
22   I,  9 |       another; the shape of the circle again is one thing, the
23   I,  9 |     thing, the bronze or wooden circle another. For when we state
24   I,  9 |         nature of the sphere or circle we do not include in the
25   I,  9 |         instance, that only one circle could be found; yet none
26   I,  9 |     remain between the being of circle and of this particular circle,
27   I,  9 |   circle and of this particular circle, the one being form, the
28   I,  9 |      that that which moves in a circle cannot change its place.
29   I,  9 |      the body whose path is the circle has one and the same place
30  II,  3 |       it is to move always in a circle. Why, then, is not the whole
31  II,  4 |      simple to the complex, the circle will be the first of plane
32  II,  4 |         line which embraces the circle is complete. If then the
33  II,  4 |       this ground also that the circle is primary among figures.
34  II,  4 |        is among solids what the circle is among plane figures.
35  II,  4 |   arrange them in this way. The circle corresponds to the number
36  II,  4 |   assigned to the triangle, the circle will not be a figure at
37  II,  4 |         and by assumption, in a circle, and since it has been shown
38  II,  4 |       the line which bounds the circle is the shortest; and that
39  II,  4 |        if the heaven moves in a circle and moves more swiftly than
40  II,  5 |      two ways of moving along a circle, from A to B or from A to
41  II,  8 |       every star is that of the circle in it moves. For star and
42  II,  8 |       in it moves. For star and circle are seen to come back to
43  II,  8 |      the star has traversed the circle and the circle has completed
44  II,  8 |    traversed the circle and the circle has completed its own movement,
45  II,  8 | proportioned to the size of its circle. That the pace of each circle
46  II,  8 |   circle. That the pace of each circle should be proportionate
47  II,  8 |      which moves on the greater circle is necessarily swifter,
48  II,  8 |         every case of a greater circle with a swifter movement
49  II,  8 |  quicker movement of the larger circle is natural when all the
50  II,  8 |         be larger in the larger circle, and hence it is not surprising
51  II,  8 |        revolution of the larger circle should take the same time
52  II,  10|       each is moving on its own circle with the reverse motion
53  II,  10|    longest time to complete its circle, and that which is farthest
54  II,  14| circular, but also that it is a circle of no great size. For quite
55 III,  1 |      but afterwards outside his circle by the earliest natural