352 THIRD REPORT — 1833. 



their derivation, will be sufficient to direct the attention of the 

 reader to the other contents of this very original and valuable 

 memoir. 



There are some other most important departments of the 

 general theory of equations wliich it was my intention to have 

 noticed, and without which no report upon the present state 

 and recent progress of algebra can be said to be complete. 

 Amongst these may be particularly mentioned the theory of 

 elimination and the solution of simultaneous equations, and also 

 the theory of the solution of literal and of implicit equations. 

 The very undue length, however, to which this Report has 

 already extended, and the arrangements which have been made 

 connected with the publication of this volume, compel me, 

 though most reluctantly, to omit them. I venture to indvdge 

 a hope, however, that I may be allowed upon some future oc- 

 casion to add a short supplemental Report upon this extensive 

 department of analysis, in which I may be enabled to supply 

 some of the numerous deficiencies of the preceding sketch. 



ERRATA IN THE FOREGOING REPORT. 



Page 197. line 21, dele not 



— 215. — i, for T{r)T{\r) read T{r)V{\ — r) 



— 215, — 11 from the bottomjiffor a;^:+ 2 + a; 1 read a^ + 2 x + I 



— 221, — 15, for cos ' — read cos-^ — 



e e 



cos-i a , , a 



— 226. - 2 from the bottom, /or ^T^f^y, read cos-' ^^^^^^^ 



— 234, — 7, for (0) read (O)" 



— 240, — 18, for In this last case {a — 5)" read If we suppose n to be 



an even whole number or a fraction in its lowest terms 

 with an even numerator, then (a — 6)" 



— 240, — 10 from the bottom, for fraction read function 



— 248, — 6, for diventical read diacritical 



— 251, — \\. for cos \x — ^^:-~-^r\ read cos I x — ^^~—^^ r 



— 259, — 23, dele or the greatest of the two quantities « and /3 



4 4 



— 261, — 14, /or — read — 



— 263. — 15. for X' read X 



— 316, — 29, for x" — 1 = read x" — 1 = 0. 



