410 Professor Garslaw, The cooling of a solid sphere, etc. 



It follows that 



A ^ _ ^^'^0 (6 — a) co s qsTT 



Thus 



K,{a+^^{b-a)^ 



. 2hVf. cos ^577 

 ^^ = - ^^g, (op + g) ■ ^'™^ ^1 = ^"^^ (36). 



Also these terms in our solution are as follows: 



r 



cos fSTT cos 5'S7r sm ^stt - , ^ ^ 



577 {ap + q) 



.(37). 



(h-r\ 



a sm «.S7r f , , , 



and 2K ^^tz^e-"*r* 



S7T [ap + q) I 



On referring to § 2 (10) and (11), it will be seen that this solution 

 agrees with the result obtained in § 2 by the method of contour 

 mtegrals. And it may be. noted that the assumptions involved in 

 Fourier's method were not necessary in the discussion of § 2. 



