Book,  Paragraph

 1   I,  1 |       which they are parts must necessarily be complete, and thus, in
 2   I,  2 |       whatever is akin to them. Necessarily, then, movements also will
 3   I,  2 |       element), then there must necessarily be some simple body which
 4   I,  2 |         this circular motion is necessarily primary. For the perfect
 5   I,  2 |      and earth respectively. It necessarily follows that circular movement,
 6   I,  3 |         that moves upward. Now, necessarily, everything which moves
 7   I,  4 |  whatever point it begins, must necessarily pass through all the contrary
 8   I,  5 |        beginning.~Every body is necessarily to be classed either as
 9   I,  5 |    which moves in a circle must necessarily be finite in every respect,
10   I,  5 |   interval between the radii is necessarily infinite: circular motion
11   I,  5 |         other is infinite, then necessarily the time occupied by the
12   I,  6 |      intermediate place is also necessarily determinate. For, if it
13   I,  6 |   distance in a finite time. It necessarily follows from this that infinite
14   I,  6 |    motion, a finite weight must necessarily move a certain finite distance
15   I,  7 |               7~Every body must necessarily be either finite or infinite,
16   I,  7 |        kinds of simple body are necessarily also finite, since the movement
17   I,  7 |     then each of its parts must necessarily be infinite in quantity,
18   I,  7 |       part of B. This part will necessarily be moved by A in the time
19   I,  7 |   separated by void, there must necessarily be one movement of all the
20   I,  7 |      body, as experience shows. Necessarily, therefore, not everything
21   I,  8 |     instances of each form must necessarily have for goal a place numerically
22   I,  9 |         primary and supreme, is necessarily unchangeable. This fact
23  II,  1 |      constrained movement would necessarily involve effort the more
24  II,  3 |       we see that generation is necessarily involved. But if so, there
25  II,  4 |     grounds also it will follow necessarily that the heaven is spherical.
26  II,  4 |     than anything else, it must necessarily be spherical.~Corroborative
27  II,  6 |    movement is retarded it must necessarily be retarded for an infinite
28  II,  7 |        of the revolving body is necessarily heated by its motion, and
29  II,  8 |        on the greater circle is necessarily swifter, clearly we also
30  II,  9 |    supposes, their motion would necessarily cause a noise of tremendous
31  II,  9 | strength and such a noise would necessarily reach and shatter us. Since,
32  II,  13|         at rest, the earth must necessarily have this shape. For there
33  II,  13|         For the same cause must necessarily have the same effect on
34  II,  13|    fragment of earth moves must necessarily be the place to which the
35  II,  14|       as stationary at it, must necessarily move with two motions. But
36  II,  14|        here end.~Its shape must necessarily be spherical. For every
37  II,  14|     lesser in front of it, must necessarily drive it on, both having
38  II,  14|         a mass or in fragments, necessarily continues to move until
39 III,  1 |       There are many attributes necessarily present in physical bodies
40 III,  1 |       physical bodies which are necessarily excluded by indivisibility;
41 III,  4 |        then manifestly there is necessarily a limit to the number of
42 III,  7 |        by change of shape would necessarily involve the assertion of
43  IV,  2 |     containing so much void are necessarily involved in practically
44  IV,  3 |      same motion this result is necessarily produced, viz. that the
45  IV,  4 |     things moves to the centre, necessarily that which rises to the
46  IV,  5 |         been observed anywhere. Necessarily, then, as fire goes up because