COFFIN. — EDGE CORRECTIONS IN CONDENSERS. 



417 



CO 



oo 



co ■ 



co - 



+ v 



— V 



+ v 



— V 



(g) 



(k) 



+ w 



— V 



•00 



• oo 



CO. 



oo 



co- 

 co- 



00 



+ v 



(ll) 



oo oo 



+ V + V 



oc 



— V 



•co 

 -oo 



(1) 



CO CO 



Problem I. 



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

 the other. 



t — CO 



t = b 



B 



At A t l — — I, a x — 2tt 



C t 2 = 0, ou = C t = 



B U — b, a 3 = 2 7T 



8 s t = - CO < = - 1 



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

 of the three values a b c for t x t 2 t 3 , respectively, 





dz (t — a)(t — b) 



-0 

 and 



t — c 



dt 



= l(c-a 



) + («-*) + 



(c — a) (c — 6) 



it — c 



) 



,/< 



_^ = (c - «) I + 8__!£ + <c- a) (o - b) log («-«) + r. 



Putting a = — 1, b = b, c — 0, we obtain 



,= < + - — =-*- — blogt + r. 



c 



vol. xxxix. — 27 



