COFFIN. — EDGE CORRECTIONS IN CONDENSERS. 



417 



CO 



CD - 



00 ■ 



+ v 



— V 



+ w 



— V 



(g) 



(k) 



+ " 



— V 



•CD 



oo. 



CO 



co- 

 co- 



JOO 



+ f 



— V 



{!') 



oo 00 



-\-v +V 



— V 



(1) 



00 CO 



oc 



•GO 

 CO 



Problem I. 



Consider two semi-infinite planes one of whose edges extends beyond 

 the other. 



t = 00 



At A ti = — I, ai = 2: 



C t.= Q, a., = C t = 



B 



t = b 



t = — as 



<-• 



t = -l 



Hence the Schwarzian transformation for this case is, in the general case 

 of the three values a b c for ti t^ ts, respectively, 



dz _(t — a) (t — b) 



-O 

 and 



t — c 



dt 



-{'- 



a 



) + (<-*) + 



(c — a) (c — b) 



t — c 



) 



dt 



^={c-a)t+ ^^-^ + (c - a) (c - b) log {t - c) + T. 



-C 

 Putting a 



-O 

 VOL. xxxix. — 27 



2 

 1, b = b, c = 0, we obtain 



= t + ^ ^ —blogt-hT. 



2 



