HISTORY of the SOCIETT. 23 



P' =4-ix(2-3) = 5; l±zl::^ll^^^, p. =5,^v ^2,R^ =1. 

 P"=9-2X(3-i) = 5; iip = ^=2+2; pv._^^^v,_2,R" = 3. 

 P™=5-2X(l-3) = 9;ii=2 = ^=l+i; P- = 9,^™r=l,R™==2. 

 P-=5-iX(3-2) = 4; y=? = ^ = 3 + 2; P™.=:4,^vn.3,3^Rvu,^^. 

 P-=9-3X(2-o) = 3; Ii=2 = H::,4 + 2. P-=3,f.- = 4,R- = 2. 

 P- =4-4X(o-2)::ri2; £±=3^12^1 + ^; P— 12,/.% = i, R— o. 

 P- = 3 - 1 X(2-o) = I ; ^= ^ = 14+^; P- = I, ^-= 14, R-= o. 



Here I flop, becaufe P""' = P° = i. And the feries of num- 

 bers fought is, I, 4, 3, T, 2, 4, I, 3, 4, I, 14. 



On turning to page 378 of the Englifli edition of Euler's 

 Algebra, it will be found that the table there given confifts of 

 the two feries of numbers, P°, P', P", &c. and^o., ;«,', /^^ i^J", &c. 



This rule is the more worthy of notice, that it proceeds 

 by certain definite arithmetical operations : whereas the me- 

 thod of M. De la Grange determines the numbers, ^m., ,«.', ^/, 

 &c. by appreciating the value of certain expreflions to the near- 

 eft unit, or by a procefs that is in fome meafure tentative, and 

 therefore not ftridly analytical. 



SURGERY. 



Mr Russel read an account of a Angular variety of Hernia ^^°3' 



which occurred to him while he was delivering clinical ledlures a rmguiar ' 

 in conjundlion with Dr Brown and Mr Thomson. Mr Thom- ^ia.'"'° 

 SON diire(fted the parts with great care and accuracy, and difco- 

 vered certain peculiarities, which makes the knowledge of this 



Vol. v.— P. III. D varietv 



