NOTATION. 
7 
which remains, when, from the sum of a and 5a' l b, the 
quantity 2ab is deducted. • 
Here follow some examples wherein the several 
Forms of Notationhitherto explained are promiscuously 
concerned, and where the signification of each is 
expressed in Numbers. 
Suppose a ~ 6, b ;r 5, and c — 4; then will 
d 1 -f 3ab — c* = 36 + 90 — 16 = 110, 
2a 3 — 3cfh -f c 3 z= 432 — 540 + 64 -- —44, 
d 1 X a + b — 2abc — 36 X 11 — 240 = 156, 
a 3 , a 216 
rr5i + c =TT + >6=12 + 16 = 28, 
\/ 2 ac + c 1 (or 2 oc + c* |*) — \/64 =: 8 (for 8X8^ 64), 
f , 2 be 40 
* + Vz«c +'> - 2 + — - 7 ’ 
a* — \Zb x — ac _ 36 — l 35 _ 7 
2 a — s/b* + ac 12 — 7 5 
\/ b x — ac 4- 2ac + c 1 —11-8 — 9, 
VV_ ac + v/2ac f c* = v/25 — 24 + 8 = 3. 
This method of explaining the signification of quan 
tities I have found to be of good use to Young Begin 
ners: And would recommend it to Such, who are 
desirous of making a Proficiency in the Subject, to get 
a clear idea of what has been thus far delivered, before 
They proceed farther.