Book, Paragraph

 1 III, 1 |     Further (14), are numbers and lines and figures and points a
 2 III, 2 |         is a substance and so are lines and planes, is it the business
 3 III, 2 |           principle there will be lines besides the lines-themselves
 4 III, 2 | lines-themselves and the sensible lines, and so with each of the
 5 III, 2 |           neither are perceptible lines such lines as the geometer
 6 III, 2 |        are perceptible lines such lines as the geometer speaks of (
 7 III, 5 |         if this is admitted, that lines and points are substance
 8 III, 5 |         perishing; but points and lines and surfaces cannot be in
 9 III, 5 |        same is true of points and lines and planes; for the same
10  IV, 2 |         being, not qua numbers or lines or fire, it is clear that
11   V, 6 |          why the circle is of all lines most truly one, because
12 VII, 10|           is formed by individual lines, are posterior to their
13 VII, 11|      define these by reference to lines and to the continuous, but
14  IX, 9 |           a right angle? If three lines are equal the two which
15   X, 1 |        indivisible, since even in lines we treat as indivisible
16   X, 3 |          one; e.g. equal straight lines are the same, and so are
17   X, 3 |     smaller, and unequal straight lines are like; they are like,
18  XI, 2 |          But if we are to suppose lines or what comes after these (
19  XI, 2 |         sections and divisions of lines); and further they are limits
20  XI, 4 |       which it has detached, e.g. lines or angles or numbers or
21  XI, 12|           which it succeeds, e.g. lines in the case of a line, units
22 XIII, 1|      mathematics-i.e. numbers and lines and the like-are substances,
23 XIII, 2|    separate planes and points and lines; for consistency requires
24 XIII, 2|      again besides the planes and lines and points of the mathematical
25 XIII, 2|          these will be planes and lines other than those that exist
26 XIII, 2|        belonging to these planes, lines, and prior to them there
27 XIII, 2|          the same argument, other lines and points; and prior to
28 XIII, 2|         these points in the prior lines there will have to be other
29 XIII, 2| mathematical solids; four sets of lines, and five sets of points.
30 XIII, 2|           not with the planes and lines and points in the motionless
31 XIII, 2|         completeness. But how can lines be substances? Neither as
32 XIII, 2|        can be put together out of lines or planes or points, while
33 XIII, 3|           qua planes, or only qua lines, or qua divisibles, or qua
34 XIII, 3|       sight or qua voice, but qua lines and numbers; but the latter
35 XIII, 6|  identical with this.~The case of lines, planes, and solids is similar.
36 XIII, 9|            great and small"; e.g. lines from the "long and short",
37 XIV, 2 |         generated are numbers and lines and bodies. Now it is strange
38 XIV, 3 |         out of matter and number, lines out of the number planes