Book, Paragraph

 1  IV, 8  |       divides them faster by its force. For a moving thing cleaves
 2 VII, 5  |        in the same time the same force A will move 1/2B twice the
 3 VII, 5  |       observed. Again if a given force move a given weight a certain
 4 VII, 5  |          the other, so that each force will cause the same distance
 5 VII, 5  | necessarily follow that half the force will occupy twice the time
 6 VIII, 2 |       mean, that the same motive force at one time causes a thing
 7 VIII, 10|         possible for an infinite force to reside in a finite magnitude.
 8 VIII, 10|         granted that the greater force is always that which in
 9 VIII, 10| magnitude possessing an infinite force as well as by anything else,
10 VIII, 10|         else, since the infinite force is greater than any other.
11 VIII, 10|       the result that the finite force will occupy the same amount
12 VIII, 10|       motive act as the infinite force. But this is impossible.
13 VIII, 10|          can possess an infinite force. So it is also impossible
14 VIII, 10|          impossible for a finite force to reside in an infinite
15 VIII, 10|        It is true that a greater force can reside in a lesser magnitude:
16 VIII, 10|  superiority of any such greater force can be still greater if
17 VIII, 10|      Then BG possesses a certain force that occupies a certain
18 VIII, 10|        time given. Therefore the force must be infinite, since
19 VIII, 10|      since it exceeds any finite force. Moreover the time occupied
20 VIII, 10|         the action of any finite force must also be finite: for
21 VIII, 10|        be finite: for if a given force moves something in a certain
22 VIII, 10|          certain time, a greater force will do so in a lesser time,
23 VIII, 10|        inverse proportion. But a force must always be infinite-just
24 VIII, 10|         in which there resides a force the same in kind as that
25 VIII, 10|          magnitude, so that this force will be a measure of the
26 VIII, 10|          a measure of the finite force residing in the infinite
27 VIII, 10|       impossible for an infinite force to reside in a finite magnitude
28 VIII, 10|        magnitude or for a finite force to reside in an infinite
29 VIII, 10|         to cease when the motive force produced in one member of
30 VIII, 10|    magnitude to have an infinite force, and also that it is impossible