466 
tion of it appearing among the errata , and no notice having- 
been hitherto taken, as far as I know, of fuch a miftake 
exifting in that juftly celebrated work, now fo many years in 
circulation throughout the world ; inftead therefore of -fLths, 
or ^ s -° 0 - parts of the third proportional, the laid additive mem- 
ber of the equation, I fubftituted another (with a certain 
modification, however, as ftated in the before-mentioned pages) 
amounting only to T 8 T °- parts of the third proportional, being 
the higheft that would apply to the whole quadrant, without 
producing abfurd refults. Thus I obtained approximate de- 
grees of great circles and of longitude, differing but little 
from thofe of 3V1. Bouguer, and compenfating in a great 
meafure, although not altogether, for the then undifcovered 
caufe of the miftake of -^th part of the arc DG; for *. — | = T x -. 
In this ftate of the cafe, I have judged it incumbent on me 
to annex a fupplementary table, where the degrees of great 
circles and of longitude are accurately computed by the cor- 
redted fubtradtive branch i ths of DG inftead of f ths, as it now 
Hands in the original table. From infpedtion it will appear, 
that the maximum of correction amounts nearly to 5! fathoms 
at the poth degree of latitude, diminiftung gradually from 
thence to the pole on one fide, and the equator on the other, 
where it vanifhes. The maximum of corredtion for the degrees 
of longitude, amounting to about 2f fathoms, is applicable 
between the 58th and 59th degree of latitude, where M. 
Bo uguer’s degree of the meridian becomes equal to his degree of 
longitude on the equator. From this point, it diminifhes 
gradually to the pole on one fide, and the equator on the other, 
where it in like manner difappears. 
With regard to degrees of great circles fituated obliquely to 
the meridian, it is fufficiently obvious, that they are fo little 
afifedted as to render it of but fmall importance whether they 
7 
are 
