52 A NEW METHOD OF DETERMINING 
Attributing to 7 proper values in equation (29) we find the expressions for cos ¢, 
cos 2:, cos 3z, ete. We then multiply these expressions by their appropriate factors and 
thus have the value of ¢ Ne. Wer 
a 
+o _ (—2) 
@\= = | ae 19, | (=) = Bue FR; cos 1q- 
ic) 
(2) (—2) 
The following are the values of R; and FR, to terms of the seventh order of ¢. 
au 3 5 7 
Lig SS Bee EO ag?” sb ae 
(2) 5 ‘ , 
fy = —te + 1e— Ae 
© 
a 1333 9 81 7 
Li Bae be = ae 
x 4 6 
Ry, = —te'+ 
se 25 op BOR A 
—— Oe) f 7 
Ti; = — Pa 7e ap aes’ 
(2) ae 
R, — — soe 
> 2401 77 
fi, = — geivaye 
re 1 4 5 6 
Rh = j= = 1+ 64 344 Le + ete. 
V1—2 4 8 
Gee 88 1 6595 | 2675¢7 
— 38 >) 9 5 pf 
Ei, = 2e+ Fe + FR + Ze ane 
ly SO Be -p Be 
peice 103p4__ 88 76 
1 == ga GF yarn? 
Oe 1097¢5__ 1662147 
5 192 
ie 12236 
6 — 160 © 
jhe 472787 
1 = “agg 
See HansEn’s Lundamenta nova, pp. 172, 173. 
