Book,  Paragraph

 1   I,  2 |         it, is either straight or circular or a combination of these
 2   I,  2 |         two, the straight and the circular line, are the only simple
 3   I,  2 |    revolution about the centre is circular motion, while the upward
 4   I,  2 |         simple movement, and that circular movement is an instance
 5   I,  2 |          of its own nature with a circular movement. By constraint,
 6   I,  2 |     contrary, it will follow that circular movement, being a simple
 7   I,  2 |           body, whose movement is circular, is fire or some other element,
 8   I,  2 |       must be the contrary of the circular motion. But a single thing
 9   I,  2 |         the body moving with this circular motion which is unnatural
10   I,  2 |           or earth. Further, this circular motion is necessarily primary.
11   I,  2 |        which naturally prior, and circular movement is prior to straight,
12   I,  2 |       this is so, it follows that circular movement also must be the
13   I,  2 |          necessarily follows that circular movement, being unnatural
14   I,  2 |     Further, if, on the one hand, circular movement is natural to something,
15   I,  2 |   ordained to move with a natural circular motion, as fire is ordained
16   I,  3 |         no contrary motion to the circular, nature seems justly to
17   I,  3 |           body which moves with a circular motion cannot admit of increase
18   I,  3 |           two simple motions, the circular and the straight, the latter
19   I,  4 |        opposed as contrary to the circular may be proved in various
20   I,  4 |          the straight line to the circular. For concave and convex
21   I,  4 |         if there is a contrary to circular motion, motion in a straight
22   I,  4 | rectilinear path applies also the circular, movement from A to B being
23   I,  4 |          a single path, while the circular paths which pass through
24   I,  5 |          is necessarily infinite: circular motion therefore is an impossibility.
25   I,  5 |       there is something to which circular movement belongs.~(2) Again,
26   I,  5 |        the heavens complete their circular orbit, and consequently
27   I,  5 |           and they complete their circular orbit in a finite time;
28   I,  5 |         no circle there can be no circular movement, and similarly
29   I,  5 |    impossibility, there can be no circular motion of an infinite body.~(
30   I,  7 |        the body whose movement is circular be infinite, since it is
31   I,  8 |          their movement. (Even in circular movement there is a sort
32   I,  8 |         as from the nature of the circular movement, which must be
33  II,  3 |                           3~Since circular motion is not the contrary
34  II,  3 |           contrary of the reverse circular motion, we must consider
35  II,  3 |         reason to it is given the circular body whose nature it is
36  II,  3 |       towards the centre. But the circular movement is natural, since
37  II,  3 |        must be at least one other circular motion: for a single movement
38  II,  3 |        why there is more than one circular body is the necessity of
39  II,  4 |    straight line but never to the circular, clearly the line which
40  II,  4 |        body which revolves with a circular movement must be spherical.
41  II,  4 |       extremities of the radii is circular: therefore the surface of
42  II,  5 |            and the heaven and its circular motion are eternal. We must
43  II,  6 |       midway between the two. But circular movement, having no beginning
44  II,  7 |         whose natural movement is circular. In so saying we are only
45  II,  9 |          sound given forth by the circular movement of the stars is
46  II,  12|           stars which move with a circular motion, in respect of substance
47  II,  13|     creating night and day by its circular motion about the centre.
48  II,  13|          section would have to be circular. In this they leave out
49  II,  13|        not to make them doubt the circular shape of the earth. But
50  II,  13|           when the cup is given a circular motion, though it is often
51  II,  14|    everything that moves with the circular movement, except the first
52  II,  14|        not only that the earth is circular, but also that it is a circle
53  II,  14|        not only that the earth is circular in shape, but also that
54 III,  8 |        but rather to that form of circular movement which we call rolling.