the Trigonometrical Operation . z { ^ 
gent of 45 0 we have the angle of longitude r 
pole M, . . . . ^ 2 i j 42 5 
The angle, pole Mr, ~88 u 214 
And the complement of this laft, or the con- 
vergence of the meridian of M (fuppofed to co- 
incide with that of Paris) to the meridian of 
Greenwich, ^ 1 48 38.6 
Alfo, as fine 88° 1 T 2i 77 . 4 : fine 38 s $ 6 ' 47 // . 9 rad. : fine 
38° 5s 7 1 1 7/ * 2 the co-latitude or M; whence its latitude be- 
comes 51 0 I 7 4 8 /7 .8, from which, deduding the fpheroidical 
corredion o /7 .5, we have the true latitude of Mz=z$i° T 4 8 /7 .^ 
The difference between this and the latitude of 51 0 3' i 2 \i 
will be i 7 23 77 .8, anfwering on the fpheroid to 1416.77 fathoms ; 
and this laft number being added to the value of the arc Gr = 
2583 1 *43 fathoms, we have 27248.2 fathoms for MP, or the 
diftance of the parallels of Greenwich and M on this new 
fpheroid. 
Laftly, if to this mean diftance of the parallel of M from 
Greenwich, we add the mean diftance of the parallel of M 
from Paris = 1 33398.8 fathoms, we (hall then have 160647 
fathoms for the mean diftance of the parallels of Greenwich 
and Paris, anfwering to the celeftial arc of 2 0 38" z 6 '\ 
Hence the mean degree of the meridian between Greenwich 
and Paris correfpondmg to the latitude of 30° 9 / f, contains^ 
60638.3 fathoms, or about ij fathom lefs than M. Bouguer’s 
degree for the fame latitude. 
F f 2 Art. 
1 
