597 
of the Trigonometrical Operation . 
Angle at Dover between Padlefworth and 
Montlambert . . . 109 8 25 
at Dover in the XXXII triangle 21 57 55, 42 
Angle at Dover in the XXXIII triangle . 87 30 29.58 
The third angle, or 49 0 9' 3 1 // *9 at Montlambert, is the 
fupple mental one. 
If from the angle at Fairlight in this triangle we take 
1 7° 46' o'i we have 25 0 gf 55" 02 for the angle at Fairlight 
in the XXXIV triangle; and if to 87° 3c/ 2f / .fi we add 
2f o".2$ (the angle at Dover in the XXXV triangle) it 
gives 1 io° 55' 29X83 for the angle at Dover; that at Blanc - 
nez is the fupplemental one. 
The fituation of the ftation at Montlambert, as determined 
by the obfervations made on this fide of the Channel, has not 
however totally depended on thofe made at Fairlight and Dover; 
another obfervation at Padlefworth has been ufed by way of 
check, or verification. This was made in a very favourable 
ftate of the air, when the angle between the flag-ftaff at Do- 
ver and maft at Montlambert was found to be 58° 27' n // § 9 
which is nearly what refults from computation ; for 42561.18 
and 168821.07 feet, the refpeftive diftances of Dover from 
Padlefworth and Montlambert, with the included angle 109° 
8 / 25 /7 , give this angle 58° 27' 10X9. 
It ought to be remarked, that the angle at Blancnez 119° 
4C 28 /; .9, communicated by M. Cassini, is an horizontal 
one; that of the XXXV triangle, or 1 19 0 4D 4i // .6, is the 
refult of a computation by plane trigonometry, which, if 
accurate, fhotild be lefs than the horizontal one at the tame 
point, and therefore the maximum of the difference mu If be 
fomewhat greater than i2 // .y. 
P. 
