124 Prof. Miiller ami Dr. Marshall Hall 



hence by the first formula we have, when 



_ 5^^_197_ 1 1 . 



7W - 3, fe - ^^ 216 ~ P.S^S^^'^'^ 2^3^4^5^ "^ ' 



and so on to any extent. 



From the second formula we get, when 



m = ] , S = - - ^ = ^-3:3 + 3^^ + &c. 



- o Q _ ^ '^^ J- - 1 _L 1 . . ^ 



7« _ z, » _ — 9 - 12 ^ 32 , 5. + 3^5^72 -^ ^c. 



7W - 3, b - ^^^^g 4050" 12.32.52.7' "^ 32.52.72.92 ^ * 

 and so on as far as we please *. 

 By means of the general relation 



A = — (B - C), 



a variety of other series may be summed with great ease, all 

 those, for instance, investigated by Mr. Phillips, with the aid 

 of definite integrals, in the Philosophical Magazine for 1832, 

 vol. xi. A single example of the mode of proceeding will be 

 sufficient. 



[To be continued.] 



XXVII. On Professor Muller's Account of the Refex Func- 

 tion of the Spinal Marrow. Communicated by Marshall 

 Hall, M.D., RR.S., 8^c, 



[Continued from p. 57.] 

 "T^HE previous considerations however lead us only to the 

 -■- determination of the fact, that, wherever general twitch- 

 ings originate from local sensation, this takes place by no other 



• A valuable paper upon the summation of this class of infinite series, by 

 Mr.Woolhouse, may be seen in the Appendix to the Ladies* Diary for 1836, 

 mid another upon the same subject, by Mr. Rutherford, in the Diary for 1 837. 



