Book,  Paragraph

 1   I,  1 |       if divisible one way is a line, if two ways a surface,
 2   I,  2 |       straight and the circular line, are the only simple magnitudes.
 3   I,  2 |     movements are in a straight line, "upward" meaning motion
 4   I,  2 |         be said of any straight line:-not of an infinite line;
 5   I,  2 |        line:-not of an infinite line; for, if it were perfect,
 6   I,  2 |       an end: nor of any finite line; for in every case there
 7   I,  2 |     beyond it, since any finite line can be extended. And so,
 8   I,  2 |      and movement in a straight line belongs to simple bodies-fire
 9   I,  2 |        fire moves in a straight line away from the centre. On
10   I,  3 |          Movement in a straight line certainly does not belong
11   I,  4 | tendency to oppose the straight line to the circular. For concave
12   I,  4 |    motion, motion in a straight line must be recognized as having
13   I,  4 |      the length of the straight line which joins them. It is
14   I,  5 |     applies universally. Take a line, ACE, infinite in one direction,
15   I,  5 |       direction, E, and another line, BB, infinite in both directions.
16   I,  5 |        it, during which the one line in its motion cuts the other,
17   I,  5 |      follows. Let A be a finite line moving past the finite line,
18   I,  5 |     line moving past the finite line, B. Of necessity A will
19   I,  5 |         to traverse an infinite line in a finite time. Infinite
20   I,  5 |    quite possible that a moving line should in certain cases
21   I,  5 |      stationary. To suppose one line stationary, then, makes
22   I,  5 |         which the finite moving line takes to pass the other
23   I,  5 |         the whole extent of any line within their orbit, such
24   I,  5 |       orbit, such as the finite line AB. The revolving body,
25   I,  5 |       infinite.~(4) Again, as a line which has a limit cannot
26   I,  5 |         a centre C, an infinite line, AB, another infinite line
27   I,  5 |      line, AB, another infinite line at right angles to it, E,
28   I,  5 |    cutting E at F. The infinite line, therefore, refuses to complete
29   I,  7 |     infinite move in a straight line. For there would have to
30  II,  2 |        a direction crossing the line of the poles, which, by
31  II,  4 |        bounded by more than one line, the curvilinear by one
32  II,  4 |        possible to the straight line but never to the circular,
33  II,  4 |       the circular, clearly the line which embraces the circle
34  II,  4 |      return upon themselves the line which bounds the circle
35  II,  4 |      which follows the shortest line. Therefore, if the heaven
36  II,  4 |       be joined by the straight line BC. The line AD, drawn to
37  II,  4 |       the straight line BC. The line AD, drawn to the base of
38  II,  4 |  established, that is until the line AE is equal to the two radii.
39  II,  4 |      only will it rest: but the line which connects the extremities
40  II,  7 |         only following the same line of thought as those who
41  II,  13|        earth were spherical the line of section would have to
42  II,  14|        part moves in a straight line to the centre. Being, then,
43  II,  14|       eclipse, the form of this line will be caused by the form
44 III,  1 |     points, so that a part of a line need not be a line. This
45 III,  1 |         of a line need not be a line. This matter has been already
46 III,  1 |   Timaeus explains, clearly the line and the point will have
47 III,  1 |       with. For a point is to a line as a line is to a plane
48 III,  1 |         point is to a line as a line is to a plane and as a plane
49 III,  1 |        now is like a point in a line. The same consequences follow
50 III,  7 |        to bring everything into line with them. It seems that