Book, Paragraph

 1      I, 6|     universal, whenever both P and R belong to S, it follows
 2      I, 6|         necessarily belong to some R. For, since the affirmative
 3      I, 6| convertible, S will belong to some R: consequently since P belongs
 4      I, 6|            to all S, and S to some R, P must belong to some R:
 5      I, 6|           R, P must belong to some R: for a syllogism in the
 6      I, 6|      exposition. For if both P and R belong to all S, should
 7      I, 6|            N, be taken, both P and R will belong to this, and
 8      I, 6|         thus P will belong to some R.~If R belongs to all S,
 9      I, 6|          will belong to some R.~If R belongs to all S, and P
10      I, 6|     necessarily not belong to some R. This may be demonstrated
11      I, 6|           the former cases. But if R belongs to no S, P to all
12      I, 6|     premisses is universal. For if R belongs to all S, P to some
13      I, 6|           S, P must belong to some R. For since the affirmative
14      I, 6|         some P: consequently since R belongs to all S, and S
15      I, 6|            all S, and S to some P, R must also belong to some
16      I, 6|    therefore P must belong to some R.~Again if R belongs to some
17      I, 6|         belong to some R.~Again if R belongs to some S, and P
18      I, 6|           S, P must belong to some R. This may be demonstrated
19      I, 6|        term is affirmative. For if R belongs to all S, but P
20      I, 6|            does not belong to some R. For if P belongs to all
21      I, 6|            For if P belongs to all R, and R belongs to all S,
22      I, 6|            P belongs to all R, and R belongs to all S, then P
23      I, 6|          if P belongs to all S and R does not belong to some
24      I, 6|          possible to get terms, if R belongs to some S, and does
25      I, 6|            P belongs to all S, and R to some S, then P will belong
26      I, 6|         then P will belong to some R: but we assumed that it
27      I, 6|      assumed that it belongs to no R. We must put the matter
28      I, 6|            belongs to none. But if R belongs to no S, no syllogism
29      I, 6|          if P belongs to no S, and R belongs to some S, P will
30      I, 6|            will not belong to some R: for we shall have the first
31      I, 6|          terms cannot be found, if R belongs to some S, and does
32      I, 6|            For if P belongs to all R, and R to some S, then P
33      I, 6|            P belongs to all R, and R to some S, then P belongs