Book, Paragraph

 1      I,  1 |    treatise proposes to find a line of inquiry whereby we shall
 2      I,  1 |       the point of view of the line of inquiry before us to
 3      I,  6 |        expect to find a single line of inquiry which will apply
 4      I,  18|     rest), and of a point on a line and the unit in number-each
 5      I,  18|   point the startingpoint of a line. It is clear, then, that
 6     II,  6 |     Moreover, you may devise a line of attack by reinterpreting
 7    III,  1 |     are good in any particular line, when they make their choice
 8     VI,  4 |    point, for instance, than a line, a line than a plane, and
 9     VI,  4 |       instance, than a line, a line than a plane, and a plane
10     VI,  4 |  plane-and a plane more than a line, and a line more than a
11     VI,  4 |        more than a line, and a line more than a point; for most
12     VI,  4 |        are those of a point, a line, and a plane, all of which
13     VI,  4 |        point is the limit of a line, a line of a plane, a plane
14     VI,  4 |      is the limit of a line, a line of a plane, a plane of a
15     VI,  6 |         as those do who define line as "length without breadth":
16     VI,  6 |       well, i.e. the genus of "line", will be either with or
17     VI,  11|     defined a "finite straight line" as "the limit of a finite
18     VI,  11|        that its centre is in a line with its extremes"; if now
19     VI,  11|     the definition of a finite line’ be the "limit of a finite
20     VI,  11|        that its centre is in a line with its extremes") ought
21     VI,  11|       But an infinite straight line has neither centre nor extremes
22     VI,  11|        substituted. Now both a line and a body have a middle,
23     VI,  13|       can come of them, e.g. a line and a number. Moreover,
24   VIII,  3 |       e.g. in proving that the line which cuts the plane parallel
25   VIII,  3 |     divides similarly both the line which it cuts and the area;
26   VIII,  3 | involved, e.g. the nature of a line or of a circle, be laid
27   VIII,  14|       be on the look-out for a line of argument both pro and