the Trigonometrical Operation. t g t 
will be formed. In the firft, or that which is neareft to Green - 
wich, having GN in the VUIth triangle given -31274.48 
feet, and the angle NG« = 38° f it", with its complement 
NG^=5i° 52' 44", it follows, that Nw reprefenting the dif- 
tance of Norwood weftward from the meridian 15=19306.54 
feet; and Np reprefenting its diftance fouthward from the per- 
pendicular is = 24603.86 feet. Again, by attending to, and fum- 
ming up the angles round the point N, we Ihall find the angle 
GNH = 1 75 0 44 / 36 // .82,vvhich wanting 4 0 15' 23 // .i 8 of 180°, 
Ihews that the direction of the fide NH inclines fo much more 
to the weftward than the angle NG«. Wherefore NGw=38° 
7 16 +4 15 23 .18 = 42 22 r 39 // .i8 = HN s, is the angle 
which the line NH makes with Nr, a parallel to the meridian of 
Greenwich drawn through the point N. Now, in the fupple- 
mental parallelogram, having the diagonal NH = 35648.21 
given in the Vllth triangle, and the angle HNr = 42 s 2 z' 39". 1 8, 
alfo its complement = 47° 37' 2 o".8 2 , making ufe of NH as 
radius, and thefe two laft angles refpedively, we have rH — 
24027.36 feet for the fpace that H is more weftward than N; 
and wH = 26334.04 feet, that H is more fouthward than N. 
Hence ®N + rH = 433 33.9 feet is the fpace that H is to the 
weftward of Greenwich; and />N + wH = 50937.9 feet is the 
fpace that H is fouthward from the perpendicular to the meri- 
dian of Greenwich. Laftly, with thefe two given fides, and the 
contained angle 90°, we find the angle MGH=r 4 o° 23' 18^.54, 
that Hundred Acres is fouth-weftward from the meridian of 
Greenwich; whence the dired or diagonal diftance GH = 
66876.73 feet. Now, by referring to the table of refults, for 
the two firft ftations weftward from Greenwich, the numbers 
brought out in this example will be found in the left-hand co- 
lumns under then reipedive heads, and fo it would be with 
the 
