55® 
Mr. Airy on the 
4 w f 
—Ja*' 
have V for the interior strata = — — / t 
a 
d . a % ^5 e + £$ e 2 + 
d. 
a 3 | 
! + 2 e + e l — — A 
da 
i\ AW r d - al [— e z + 7 a) 
(^-f)+T7 -fj-h-a 1 
d .a 3 (i 4- 2 e 4- e z — 2 A) 
Let ff 5 
J ft 
da 
= <p(a)\ f 
7 a 
d a 
d.a s (e + — e z + — 
(fx 4 - 
P' 
d a 
r d. a 7 (e z + —A) 
d — v {a ) , the integrals being made to 
vanish when a = o: taking them to a = u, V for the interior 
strata = — 3 
? t r 
V («) 
v-f ►■+£} 
5 r- 3 1 * '* 1 7 ’ 1 35 
( io ). For the strata exterior to the point in question, when 
icso,R*“ i =R“ 
= a'(i + 2 e • —(3 e' +2 A) . 
= ->*(1+^+^-#)— ^(»« + 7** + fa<) V — 7 
whence h = # 3 (i-|-~H- 
2 e 5 
When i = 2, log R 
>5 
*5 
^),2 (0) =l 
4- r— pf-+.n v— , 
. , /s 1 
* ** 3 
= log d + e . 1 — [jJ 
= a constant term — ~ <? 2 +--I 
+ a multiple of p' 4 — + 
whence c 2 = _ ( e _ i e * + .£),/») = 
When i = 4 , R 2 ~* = ~ 
K -7- 
= (1 — 2^.1- p, / 3 -f- se».i — (J®| + ( 3 <? a + 2^).^ 3 — f/ 4 ) 
= a constant -j- a multiple of f* /2 — • — — “37" • f/ 4 — ■— f/ s + — 
whence ^ = % (4) = p< 4 -yf* 3 + ~ • 
vo | 
