C 169 ) 
The firft of thefe two ways of Multiplication will 
be mod convenient for interminate Numbers. As if 
we were to multiply (ml 307149741 748, •fe'c. by 
(n) 183609712649, &c. the Produ(d will be found 
(m+n) 563956758222, &c, as may appear from 
the Procefs following. 
*07g ifoibf7Zz (u) 
(m) 313150342352, &c. 
fm + n^ 644057258378 ,&c. 
Here the Index of the firfl Figure of the Produdl: 
will be m + n, or the Sum of the Indexes of the 
given Numbers; but it would have been m + n + i 
if there had been any increafe from the Product of 
the two firfl Figures, or if there had been any corre^ 
(dion to have been made to the Cypher, which is 
underftood before the firft Figure of the Produd. 
When both the Numbers to be multiply’d are inter- 
minate, as in the lafl Example, they ought to confifl 
,of the fame number of Places, or otherwife the great- 
er number mufl be reduced to the leffer, by cutting ofF 
the fuperfluous Places : And the Produd: is not to be 
continued beyond the fame number of Places. If but one 
of the number is interminate, the other mufl be reduc’d 
to the form of an interminate Number, either by cut- 
ting of the excefs of places if it has more, or by fup- 
plying or fuppofing Cyphers , if it has fewer places 
than the interminate Number. Then the fame reflridi- 
ons will take place as before. 
The Method of Divifion in this Arithmetick will not 
be fo fimple or expeditious as Multiplication. After a 
tryal of feverai w^ays, I think this following will be the 
mod commodious. Reduce the Dividend and Divifor 
Z to 
