rROFESSOR G. 11. DAIGMX OX ELLIPSOIDAL HAKMOXIC AXALYSLS. 
519 
Collectincr results we have 
+ 1 •> / _L s ' 
i + 
+ 1 pjl>s + 2^- 
cIh. = 0. 
-1 1 — Z^- 
4-1 (i^sy 
J _ 1 1 — fji 
1 i -f .s-: 
(P^h / _ 1 
j_i(] - 
■f 1 ]^>jpi - 2 
■s- I — -N . 
i (« + 1) 
f ^ ^ P^P* + 2 
J_,(i - 
.s2 - 1 
J. 
+ 1 
1 I 4- -O 
.■>’ ’ i — .<11 
7 + s + 2 ! 
4.S (s + 1) (s + 2) ' / — — 2 I 
1 i + .?! 
) _1 (1 - 4.s(-<? - 1) (-s - 2) ■ / - .5; 
Then hy means of (G6) and (67) 
\F,f/0 = . 
^ 2! + 1 I — S: 
^ + tS' ■ , ^ 1 < + ■'’ • 
- + ^(y - 1) . 
.4 t - -S’ . 
+ 27+“) 
t — S : 
/ + -s: 
+ )S7r- i). J. + 
LO + L I 
iyi + 1) 
.V 1 
+ I 
1 .s 
•s ' I — s 
+ •>; 
Tlierefore 
I = .,7 
W 
+ 1 
i 4- *■ — 4! , /■ + -S'! , ^ ^,1 4- •>■ - 2 : 
-Y. - 4 7 ^ + 1 ■ _ ^ _ 4 ; + ('O - 2) ; _ , J. O ' 
1 — .s 
i — S 
2i + 1 
'ft ' 
. I 
( — s’ . 
1 + 
+ 
2l3q. 
/ 4- .s- 4 2 ! 
I — s + 
i s 
{i 4- .0(i + -s - 1) 
2/35y, , 
+ I/.,-2'/.+ 2737 
+ 2/3i/,, 1.2 (^ ~ 
_j- 
(t 4- -O (t + ■'* — 1) (? 4- « — 2) (1 + s — :]} 
7 27 V ^ * (^' “ s)(i — s — 1) (t — s — ’2) {f — s 
, _ 
' {i — s 4- 1)(7 — ■<; + 2 )(i + .<?)(/ + ■■? — 1) 
+ + 2 )'{i + + 1 )(^' + 4 - “ •''■) {' ~ 
+ 2^-^, _2'/.. i 
{i — S)(i — S — 1; 
(i 4- s) (5 4- i' — 1 )_ 
+ /3 . 
I + .S'! 
. 1 (' H“ /^) (y — I ) + /3 (t’ ~ y) • h 
■707 J) 
•s ' - 1 
+ ^ 
• (67) 
- 3) 
■S' - 1) 
. .( 68 ). 
