and on Algebra as the Science of Pure Time. 383 
1+0@k)., , ; : : - ie é 
B — 9; is ambiguous, this symbol denoting either a determined positive ratio or a 
determined contra-positive ratio, which may be thus respectively marked, when we 
wish to distinguish them from each other, 
140 (2h) 1-0 (2 A) : 
Stat orp O BiunrowE (317.) 
In general, we may write, 
Bo™ = 4u(B”), (318.) 
the latter of these two symbols having the same meaning or meanings as the 
former. 
3d. The symbols 
e142hk 2k Qk 
B l+e Go) pire? ) pee s) (319.) 
included in the form B°™, denote determined positive ratios ; but the other symbol 
Olf+2k , = = fs A 5 
B e@»), included in the same form B®”, is ambiguous, denoting either a deter- 
mined positive or a determined contra-positive ratio, 
e142k o142k 
B (23) , or OB @(@). (320.) 
In general, we may write 
= 2 : 
Bem=4 (B”). (321.) 
4th. In like manner, we may write, 
nm 
Bem—B”, (322. 
the former symbol having always the same meaning or meanings as the latter. The 
cases 
1+0 (2h) 0 (2k) 9 (2k) 
Bree) Bae, Bp? @) 
102k) | , 
are symbols of determined positive ratios; but the case B ¢@0 is ambiguous, and 
includes two opposite ratios, which may be thus respectively denoted, 
140 (2k) 140 (24) 
zg °@i) ,On ¢2) . (324.) 
