Book, Paragraph

 1      I,  1 |            that he came to know "this figure inscribed in the semicircle"
 2      I,  1 |                 or "every rectilinear figure which you know to be such":
 3      I,  3 |            demonstration in the first figure. But it has also been shown
 4      I,  4 | commensurately universal attribute of figure. For though it is possible
 5      I,  4 |               possible to show that a figure has its angles equal to
 6      I,  4 |         cannot be demonstrated of any figure selected at haphazard, nor
 7      I,  4 |         demonstrating does one take a figure at random-a square is a
 8      I,  4 |               at random-a square is a figure but its angles are not equal
 9      I,  5 |               you may say- "eliminate figure or limit, and the attribute
10      I,  5 |       attribute vanishes. " True, but figure and limit are not the first
11      I,  12|               E.g. "Is every circle a figure?" A diagram shows that this
12      I,  13|             takes place in the second figure. Thus: let A be animal,
13      I,  14|       figure-a second proof that this figure is the most scientific;
14      I,  14|        Thirdly, the first is the only figure which enables us to pursue
15      I,  14|             of a thing. In the second figure no affirmative conclusion
16      I,  14|       affirmative; while in the third figure the conclusion can be affirmative,
17      I,  14|       universally. Finally, the first figure has no need of the others,
18      I,  14|         Clearly, therefore, the first figure is the primary condition
19      I,  15|               the first or the second figure. If it is in the first,
20      I,  16|       attribution was possible in any figure but the first. On the other
21      I,  16|            the first or in the second figure. Let us therefore first
22      I,  16|           forms it takes in the first figure and the character of the
23      I,  16|               be false.~In the second figure the premisses cannot both
24      I,  17|            inference is in the second figure, both premisses cannot be
25      I,  21|           three figures. In the first figure it is proved thus: no B
26      I,  21|         non-predicable. In the second figure the syllogism is, all A
27      I,  21|             shown either in the first figure as above, in the second
28      I,  21|               in the third. The first figure has been discussed, and
29      I,  21|             terminates too.~The third figure shows it as follows: all
30      I,  21|             proved either in the same figure or in one of the two figures
31      I,  21|       terminates. If we use the third figure, we shall take as premisses,
32      I,  21|               and is now in the first figure, now in the second or third-even
33      I,  23|            are both a certain kind of figure, and not in so far as they
34      I,  23|          other hand, (1) in the first figure nothing falls outside the
35      I,  23|          conclusion.~(3) In the third figure the middle will never fall
36      I,  24|           instance, of triangle or of figure or number, over against
37      I,  24|             triangle is a rectilinear figure." If rectilinear figure
38      I,  24|               figure." If rectilinear figure possesses the property for
39      I,  29|               obtained by varying the figure,~
40     II,  3 |                e.g. all in the second figure are negative, none in the
41     II,  3 |              conclusions in the first figure are definable, e.g. "every
42     II,  3 |              biped of animal, nor yet figure of plane-plane not being
43     II,  3 |              of plane-plane not being figure nor figure plane. Again,
44     II,  3 |      plane-plane not being figure nor figure plane. Again, to prove essential
45     II,  8 |             the proof is in the first figure. So the method just examined
46     II,  17|               other than that between figure and figure; for likeness
47     II,  17|               that between figure and figure; for likeness here is equivocal,