( j<?5 ) 
or fmall, according as the Figure following is either 
large or fmall. Some Examples of this Redudlion fliall 
here follow, both in whole Numbers and Decimal Fra* 
< 3 :ions. 
37068259764 = 43132340244 
729528960739957 == 1331531041340043 
9260872395,87294= 11341132404,133 14 
Or(’9)926o87239587294 = (10) ii 34113240413 314 
(m) 3 8 79 1 640795 3, &c. = (m) 412124412153, &c. 
It is to be obferved, that in this laft Example the 
Numbers are what I call interminate^ or Approximati- 
ons only ; that is, the firft and mofl: valuable Figures 
are exprefs'd, and all the reft f whether finite or infi- 
nite in Number, whether known or unknown^ are o- 
mitted as inconfiderable, and infinuated bv the Mark 
&c. Alfo the Index m before the Number ftands for 
fome Integer, exprefting the Diftance of the firft Figure 
3 or 4 from the Place of Units; which Integer is ei- 
ther affirmative or negative, according as the laid firft 
Figure ftands in integral or fractional Places. The 
Example immediately before is a particular Inftance of 
this. 
And thus much by way of Notation : To proceed 
therefore to the Operations to be performed with thefe 
Numbers, w'hether reduced to fmall Figures or not; 
and firft of Addition. 
Place the Numbers to be added juft under one ano- 
ther, obferving the Homogeneity of Places, as in com- 
mon Numbers. Then beginning at the Right Hand, 
collecft the Figures in the firft Row' or Column, ac- 
cording to their Signs, and place the Refulc under- 
Y 2 ' neath: 
