( 586 ) 
2y—l 
"sin (teos p cosy) 1 * (tsinpeiny)1t2r (dt __ 
Ve 
0 
2 —1 
dh 9 Az 
= (—1)'—! [2 IT (DP (ein peinw) 2 WLS 
ld NH »=0 
(PA Ey Ae de 15 Corr (68 9) Ons, (Coe y) 
M1 (244 2 y) (v + rw + 24+ 1)3 
Next suppose n= 27 + 1 = odd; then 
2v—1 
sin (t cos pcos w) I . (t sin p sin w) L’+2r+1(t) dt s 
Je 
0 
2 vl 
6 : B 1 9D Azn 
= (—1)r [2 11 (v—1))? (sin @ sin w) * — He 
p sin W) 5 = 
(24+) 11(24) Us (cos p) Ce (cos w) 
W(24+2y—1) (v4 2r+ 1P%—(y + 21)? 
2 vl 
ie cos (t cos pcos w) I ; (¢ sin p sin wy [’+27 +1 (Ede 
nd de een. ars 
Vt 
‘0 
2y—l 
Bf tz eae SR be 2 i (27 + J) 
= (—1) [21 77 (vl)? (8 ti 5 SE ES 
RAM vin pin) * 2 it? 
Co ea (cos p) Cae (cos yw). 
If we put in the last four formulae v = 0 and if we observe that 
