18? 
THE RESOLUTION OE 
Era mp. 3. Given, 
37 7x — 2.50 
430 
377 ) 450 ( I 
73 ) 37_7J 5 
12 ) 73 (6, 
. \ 
Ex amp. 4. Given 
987* 4- 651 
1235 
!, 5, 6, 
1, 1, 6, 37 
250 
1850 
74 
450)9250)20 
250 
450 . 
200 ~ X 
967) 1233(1 1, 3, 1, 4S, 
?4 8 )987]3 1, J, 4, 5, 
243)248(1 
5)243(48 
~~ 3 )_5 (1 
2)3jl 
1 
1, 1 
244, 249, 493 
651 
493 
2465 
2958 
1235)320943(259 
7394 ' 
12193 
1078 
1235 
157 — X. 
These four examples comprehend all the different 
cases that can happen with regard to the restrictions 
specified in the latter part of the rule. I shall now shew 
the use thereof in the resolution of problems. 
PROBLEM I. 
To find the least whole number, which divided by 17* 
shall hare a remainder of 7; but being divided by 26, 
the remainder shall be 13. 
Let £ be the quotient, by 17, when 7 remains, or 
which is the same, let 174' 1- 7 express the lumber