Book, Paragraph
1 I, 5 | angular and angle-less, straight and round.~It is plain then
2 II, 2 | attributes. "Odd" and "even", "straight" and "curved", and likewise "
3 II, 7 | to the definition of "straight line" or "commensurable", &
4 II, 9 | operation of nature. Since a straight line is what it is, it is
5 II, 9 | two right angles, then the straight line is not what it is either.
6 III, 7 | postulate only that the finite straight line may be produced as
7 IV, 9 | circular, but sometimes in a straight line.~These then are the
8 IV, 9 | that was not convex but straight (for differences of degree
9 IV, 14| circle, or both along a straight line; and similarly in all
10 V, 3 | which is most distant in a straight line: for the shortest line
11 V, 4 | specifically different from the straight) the motion itself is also
12 V, 4 | that which is regular, as a straight line is regular, the irregular
13 V, 4 | e.g. in a circle or on a straight line, and it is the same
14 VII, 4 | circumference equal to a straight line, or, of course, the
15 VII, 4 | case of the circle and the straight line? It would be absurd
16 VII, 4 | circle and of another in a straight line cannot be similar,
17 VII, 4 | greater or less than the straight line; and if so it is possible
18 VII, 4 | viz. that there may be a straight line equal to a circle.
19 VII, 4 | same meaning as applied to straight motion and to circular motion
20 VII, 4 | admit the equality of a straight line and a circumference.
21 VIII, 8| that which turns back in a straight line undergoes two contrary
22 VIII, 8| stand, not only when it is a straight line that is traversed,
23 VIII, 8| and the actual. So in the straight line in question any one
24 VIII, 8| motions that follow the same straight line are contrary to each
25 VIII, 8| motions that follow the same straight line are contrary motions,
26 VIII, 8| if they are on the same straight line (for then they are
27 VIII, 9| be shown as follows. The straight line traversed in rectilinear
28 VIII, 9| such thing as an infinite straight line; and even if there
29 VIII, 9| rectilinear motion on a finite straight line is if it turns back
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