COMPUTATIONS OF Z, COLBURN. 
IS 
Another Method. 
Produce 765 X 4 3060 
Add 76X5 38 
Double this sum 41060 
82,1,20 
Add the square of 4 1 6 
square of 5 25 
square of 6 36 
11.83716 
Twice 7x6 8,4 
Square of 7 4g 
58583716 
As far as the functions of the memory are regarded, the 
advantages of the rules exhibited will be obvious without 
much explanation. There need be only two lines of two 
figures produced and added together in any one term. The 
right-hand numbers dashed off, constitute the quantity required, 
and the proper disposal of the successive additions will become 
perfectly easy by a very little practice. Let m represent 7, 
n 6, p 5, and q 4 j connectedly with their local values j then 
m-\-n-\-p + q multiplied by m + n+p+q, will produce 
m 2 + 2 in w + 2 7/i p -}- n 2 •+• 2 n p-\- 'l in q-\-2 n q+p*+2p q+q* 
Therefore the square of m+n+p+q, or of 7654, is as follows : 
ra 2 = 
49 -000-000 
2 mn 
. 8-400 000 
2 mp 
700000 
?z 2 
360 000 
2 np 
60 000 
2 mq 
56 000 
2 nq 
4 800 
P 2 
. 2 500 
2 pq . „ . . . 
400 
<1* 
16 
On numerical 
computations, 
particularly 
those perform- 
ed by Z. Col- 
burn. 
58,583,716 
An 
