364 On the PROGRESS of HEAT 



b 

 or h X 3 x* x X , . = to a given quantity, or to a » , and 



j. r- ; a (b -\- x) x a 1 x a* x ' , 



therefore h zz i — . ■ / 2= 5 =—. Hence h zz 



3 b x $x ox 



C -f- • 7- Log x, Suppofe that when x zz r, the radius 



3x0 



of the heated nucleus, b zzH; then H = 



C -f — — % Log r, and C sa 

 3 r b 



K — — + — Log r 5 therefore h = 

 3 r Z> 



2 1 1 



H — — -4 ^ T Log -. 



In this expreflion <3 2 will be determined, if the temperature at 

 any other diflance R from the centre is known. Let this be 

 T > then by fubflitution we have 



m. tt a 7 - t a . a , r 



T = H -- + p[ + 7 Log R' 

 T— H 



1 . 1 T r 



J-r + Z L ° g R 



T — H 



1 , 1 T „. r I X 



3 R 3 r ' b G R 

 C- i + - + 7 Log 0- 



) 



15. This 



