100 A NEW METHOD OF DETERMINING 
Since 
@). 7 9 rsin f 
(POdg — @@/l= Ee” 
a 7 
= — 2- cos 
a e.de J 
we have 
(oe pal 
Be To anal ee - San ley ae ; 8e | oP 
These expressions for A and B can be much simplified. 
Thus from 
"=1+}¢—(c—} 2) csg = G2 @) eran — 3 é cos 3y—“ cos 4g— eles, 
2 
2 
tnt . p 
and a similar expression for —, we get 
- a” 
ad. 
ae.dy =(2—{) a ie 
d. 
a .de 
— 3¢e = —(2— 2) cosy, 
a = @—) sin g + (e— )sindy +26 sin 3g + 3€ din dg 4 ein, 
f [ 58 | dg = —(2—?e’) sing— (5 — °) sin 2g —— sin 3g — ; en 4g —ete., 
ae 
be— (2—7) cos g — (6) cos 27 —* cos 8y —“ cos 4y, 
—4e= —e —(2— 2 €) cos g— (e—3¢) cos 2g — 26 cos 3g — 2’ cos 4g. 
