£x 
n T 
X 
27T X 2 CC 
, is B x - 
[ 425 3 
X 2 ffd Z, whofe integral, when z is 
nT 
rr D nT ff 
xijj 3t = £x — x - — x x. 
2 vr X 2CC 2 7T c C 
This is the quantity of the nutation caufed by the 
moon during the femi-revolution l l l l r of the pole of 
the lunar orbit. Which was to be found. 
Corollary. 
23. By Prcb. IX. the quantity of the preceflion 
caufed by the moon, with regard to the ecliptic, is, 
during the fpace of a femi-revolution / /' /* of the 
pole of the lunar orbit, Bx^x-^-x (1 — f x-^ ), 
2 2 acc J j y 
By the preceding Problem , the quantity of the nu- 
tation during the fame time of a femi-revolution of the 
pole of the lunar orbit / /‘ /*, caufed alfo by the moon, 
- D nT ff 
is B x — x y -d- x x. 
2 tt CC 
Therefore the preceflion, during the time of a 
femi-revolution of the pole of the lunar orbit, is to 
the nutation, during the fame time, 
“ ( I — f — . ), is to - ; or as g f v x 
Jjs T? 
50C \ 
( 1 — i jjJ is to 2 a x* 
But the preceflion is performed in a parallel to 
the ecliptic, whereof g is the radius ; and the nu- 
tation is performed in the plane of the folfticial co- 
lure, and in a circle whereof a is the radius : Di- 
ll h h viding. 
As — x 
2 a 
