t 413 1 
Therefore fubftituting thefe values, and thofe of 
/, T, and vg found in the preceding Problem , we 
ihall find that the precefilon, during a femi- revolution 
nT 
of the lunar pole, which is — , by Art. 2 1. becomes 
= q x ” x J_ x _91 I 29 J 9 r 9961947 
2 3 6^4 10000000X2 ' 
7 6 
x 180 deg. x (1 — £ x 
10000000 
V 87155-7 V) 
v 996154.7 V 
This is the precefilon caufed by the moon during 
the time of a femi-re volution of the pole of the lunar 
,. «T . ^ 
orbit, — - = 5^ x y, 
35. Therefore the mean precefilon caufed by the 
moon during the time 7 *, which is the mean annual 
precefilon caufed by the moon, will be, by dividing 
9172915) 
n 
the preceding formula by — , = a x -7 — x 
r 0 2 3 65-4- 10000000x2 
.7 99<?'947 V i 8 odeg V(i .A 871557 V) 
where it only remains to determine the value of y, 
which,, by Art.?, o. is the ratio of the lunar force to 
the folar force ; and making this ratio = i , conform- 
able to the obfervations of the tides related by Mr. 
Daniel Bernoulli , we fhall have for the mean annual 
precefilon caufed by the moon, 5 x— - — x — — — 9 - 
w 2 3 6 5v 10000000X2. 
9 9^ 1 94-7 ).* iis de g- x /,_.. x( ^^7'ff7 Y) 
l jooooocoV 176 ( 996 J 94,7V 
76 
(after due reduction) 34". 16'". 51 
I ii 
///' 
Pro*- 
