TYPES OF COMPOUND STATEMENT. 91 



verses, must be a proper group with the obverse of one of 

 its marks ; see end of art. 9. To these we may add the 

 origin or obverse of the proper group with a mediate dis- 

 tant I or 3 from the extra mark^ or else two mediates 

 distant 11, i 3, or 3 3 from that mark ; 7 types. 



15. A sevenfold statement with two pairs of obverses 

 may have six marks evenly distant from one another and 

 one oddly distant from them ; in this case the six are an 

 origin and five mediates in two different ways, or say two 

 pairs and a two ; the remaining mark may be distant i i, 

 I 3^ 01" 3 3 from the two, which gives 3 types. 



Otherwise the sevenfold statement must subdivide (as 

 in the last case) into five and two or into four and three. 

 If it subdivide into five and two, the two may be a pair or 

 not. In the first case we have a proper group and the 

 obverse of one of its marks, together with the origin and 

 obverse of the group or a pair of mediates ; 2 types. In 

 the second case we have five mediates of an origin or its 

 obverse, to which we may add two proximates distant i i, 

 I 3 or 3 3 from the odd mediate, or a proximate and an 

 ultimate distant i i, i 3 or 33 respectively from the odd 

 mediate; 6 types. 



If the sevenfold statement subdivide into four and three, 

 the two pairs may be both in the four, or one in the four 

 and one in the three. In the former case we have a triad, 

 to which may be added the origin and obverse and a pair of 

 mediates or two pairs of mediates ; 2 types. In the latter 

 case the four consist of an origin and obverse and two me- 

 diates ; we must add a pair consisting of a proximate and 

 an ultimate, which may be distant i 1,33 or 13, 13 from 

 the two mediates, and then another proximate or ultimate 

 which may be distant i 1,1 3, or 3 3 from the two mediates ; 

 6 types. 



16. Three pairs of obverses in a sevenfold statement 



