[ 5^6 ] 
I have thus defcribed the plan which was adopted for 
the operations on Schehallien, and the manner in which 
it was carried into execution ; it only remains to give the 
refult of computations made upon thofe operations for 
deducing the effe6l of the attraction of the mountain. 
The oj^erations themfelves at large fhall be communi- 
cated another opportunity. 
I had caufed the arch of the fe6tor to be divided by 
fine points, according to a new and arbitrary divifion 
adapted to the method of continual bifection. One- 
eighth part of the radius of the inflmment was found 
by three bife6tions, and applied as a chord to the arch 
from the middle on each fide, mtercepting each way 
9 / // 
7 9 59,917. Thefe fpaces were each divided by points 
into 128 parts, by continual bife^lion; therefore one di- 
/ // 
vifion will contain 3 21,561854. Hence the number of 
degrees and minutes anfwering to any number of divi- 
fions may ealily be found. Twenty-four additional parts 
were alfo fet off taken from the former, and added at the 
I 28th divifion on each fide, to fill up the whole extent 
of the arch, which thus confifted of 152 divilions on 
each fide of the centre, anfwering to an angle of 
© / // 
8 30 37,4, which was therefore the greatefl angle the 
inftrument was capable of meafuring. To find the value 
of the parts of the micrometer in feconds, I meafured the 
diftance of the points on the limb, by five at a time, by 
means of the plumb-line, in parts of the micrometer. 
from 
