C 440 ] 
grees, 3 6 minutes, 33 feconds , or 85°. 23'. 27". And 
if the motion of the node be required for one year, 
'tis only multiplying the motion, juft found, by 
77-, and it will be found 19°. 25-'. 39". 
05 .23.27 . 
being a very fmall matter more than the truth, for 
reafons which will be explained elfewhere, and be- 
caufe we have taken 27} days for the time of the 
moon’s revolution about the earth, which is really a 
little lefs than that quantity. 
Problem XIX. 
To find the greatefi difference of the inclination 
of the lunar orbit to the ecliptic ; which happens 
when the fun arrives at his point of Jl at ion with 
regard to the moon. 
Here the formula of Art. 1 5. muft be made ufe oft 
T T \ 
which gives \Aaa x x ( 1 — i A b x ) or, 
27 rr 2 irry 
which is the fame, \ A x -^x — x ( 1 — \ A x — \ 
2 -n-r 22 27 rrJ 
fttbftituting the values as in the preceding Problem, 
and inftead of — , putting — — which is the ra» 
ioooooco 
2x2 7 J " 
tio of the fine of f to radius, we fhall have 2: i_i x 
i 871557 7 o j / * 3x274 
x — — x — x 1 80 deg. x ( 1 — 7 x 0 
2x2 icoooooo 2 2 
y _996l947 ) = , s - 
1 oooccoo 
Remark . 
