A NEW METHOD OF DETERMINING 
From the expression 
(ni) 
((¢, h’)) = So Tv (2, v), 
h’ being the multiple of g’, and being constant, and 7’ being variable, we have 
sim 
ay A 1 are cos /,° y 2 Gee) Cos (7 
((4, h )) = i Jy = (Ag) = 18)) =F i Tux Sn (ig — 2H’) + ete. 
(+2 
/ 
tee SD 9 
Six sin (ag =F HH ) are Six 
h hi’ 
) 
98 (ig + 2H’) —ete. 
Now for h’= + 1, we have, if we write the angle in place of the coefficient, 
° {) (pe 2 2) cos (7° D 
(ig —g')) =4dy S(ig—EB) +25. & (tg —2H’) + ete. 
9 
(2) (8) 
— ty sn (ig + BA) — Fy Sn (tg + 2B") — ete. ; 
and for h’ = —1, we have 
‘ (2) (23) Bayes 
((g + 9’)) = —tJ_y smn (19 — Ei") — 4 d_y sn (tg — 2.H") — ete. 
(0) (1) Le 
4B Lo 8 Gye 19) 2d 8 Gy Ee DB) 4 ate. 
sin 
Since 
(=m) (m) 
(—m) (m) (m) (m 
J_ nh = Weo9 
) 
=(—1%h, de =(—IP Le , 
W 
the last two expressions give 
(0) (1) 
(9g —9')) = Jy & (ig — B’) — 2, & (ig — 2B") + ete. 
(2 (3) 
) 
— JS, SF (ig + BH’) — 2S, & (tg + #’) — ete., 
9) (3) 
(ig +9) = —Iv 8 (ig — B) — Dy & (ig — 2B’) —ete. 
(0 (1) 
+ Jy % (ig + EB’) — dy 88 (ig + 2H) + ete. 
