390 



3rd. That when the influence of the brain is cut off, the secretion 

 of urine ceases, and the production of animal heat is discontinued, 

 even though the blood is preserved of its florid red colour. 



4th. That, on the contrary, the coldness of the air applied is com- 

 municated to the blood, and thereby diffused to distant parts of the 

 body. 



On the Expansion of any Functions of Multinomials. By Thomas 

 Knight, Esq. Communicated by Humphry Davy, Esq. LL.D. Sec. 

 R.S. Read June 7, 1810. [Phil. Trans. 1811, p. 49.] 



As M. Arbogast is the only author who has cultivated this part 

 of analysis with any great success, it appeared desirable to the author 

 to take a different view of the same subject, in order to confirm Ar- 

 bogast's results by a different mode of obtaining them. 



His own method has also the further advantage of arriving at se- 

 veral new and remarkable theorems (particularly with respect to in- 

 verse derivation), which probably could not be found by the method 

 of M. Arbogast. 



As far as concerns the functions of a single multinomial, the rules 

 are the same as those of Arbogast ; but in the more difficult cases of 

 double and triple multinomials and functions of any number of them, 

 the methods of the author are professed to be new and expeditious ; 

 and they are demonstrated with a great degree of facility and sim- 

 plicity, from the analogy which reigns throughout his manner of 

 treating the subject, and which enables the reader more readily to 

 retain the rules in his memory. 



On a Case of nervous Affection cured by Pressure of the Carotids ; 

 with some physiological Remarks. By C. H. Parry, M.D. F.R.S. 

 Read December 20, 1810. [Phil. Trans. 1811, p. 89.] 



In the year 1788 Dr. Parry published, in the Memoirs of the Me- 

 dical Society of London, an account of many symptoms, such as head- 

 ache, vertigo, mania, dyspnoea, convulsions, and others usually de- 

 nominated nervous, that had been removed by pressure on the carotid 

 arteries, which the author conceives to have operated by diminishing 

 a too violent impulse of blood into the vessels of the brain, and 

 thereby obviating excessive irritation. 



From various cases which have occurred to Dr. Parry since that 

 period, he selects one which appears to him to afford a singular illus- 

 tration of the principle. It is that of a lady, who, after having been 

 exposed to severe cold for some time, was seized with numbness of 

 the left side, succeeded by tingling of the left hand, and deafness of 

 the left ear, succeeded by excessive sensibility to sound. These were 

 followed by a feeling of contraction or stiffness of various muscles of 

 that side, and subsequently flutterings and twitchings of the flexor 

 muscles of the fore-arm and of the deltoid ; not, however, so as to 



