(Bemarks added 17th March, 1871. — A. C.) 
It will he observed that the Tables are printed in a slightly different form from the preceding ones ; this has 
been done in order to show at a glance in each column the set of terms which contain a given power of a, and 
in each such set the terms which contain a given power of b. 
The numerical verifications are also given, not only for the entire column, but for each set of terms containing 
the same power of a (viz. the equal sums of the positive and negative coefficients are shown by a number with 
the prefixed sign + ) ; and in Table 95 the verification is given in regard to the subsets containing the same 
powers of a and b ; as to these subsets, the sums of the positive and negative coefficients are not in all cases 
equal, but a singular law manifests itself (see p. 44). 
