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distant from one another and two oddly distant from 
them. In the former case the pair of obverses may be 
in the four or in the three. If they are in the four, the 
three form a triad which are proximates to one origin, 
and then the pair may be the origin and obverse or a pair 
of mediates. If the pair are origin and obverse, the other 
two (at distance 2) are mediates, distance 11, 13 or 33 from 
the proximate which is not in the triad ; if the pair are 
mediates, the two may be the origin or obverse with a 
mediate distance 1 or 3 from that proximate (4 types) or two 
mediates distant 11, 13, 33 from it (3 types). If the pair of 
obverses are in the set of three marks the four form a group, 
which may be proper or improper. If proper the three may 
be origin and obverse with a mediate, or a pair of mediates 
with origin, obverse, or another mediate ; 4 types. If 
improper, the three must be two origins and an obverse or 
an origin and two obverses ; 3 types. 
Five marks evenly distant containing only one pair of 
obverses, 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 distant 
1 or 3 from the extra mark, or else two mediates distant 11, 
13 or 33 from that mark; 7 types. 
1 5. A seven -fold 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 11, 13 or 33 
from the two, which gives 3 types. 
Otherwise the seven-fold 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 ; two types. In 
