Notices respecting New Boohs. 381 



n —uf^ — 2(1 — ii) q = 0. The assumption to be made 



here is p = b + b^u + b^'U^ + b'^u^ + &c. ; where b will be 

 determined in terms of a. Retaining therefore a in q as an 

 arbitrary, we shall have two arbitraries a and C, and conse- 

 quently a complete solution. And no doubt should be led to 

 the third series in the place in Leybourn already referred to, 



and which is Euler's. 



If we were to suppose 3/ a function of e = \/ -^^y we 



should find c* -^ + 3e ^ + -Y~ = 0. No doubt this 

 would lead to a series well known. 



If we were to suppose 7/ a function of w = Y+7> ^^ should 



find (w - w^ - w^ + t£)*) -^-{4.'w-2w^ + 2k)^) -^ + 



(1 + w)3/ = 0. This is much like the equation between 3/ 

 and n-, and would probably be troublesome to manage. There- 

 fore as my paper is nearly filled, I shall not proceed with it 

 further. Brice Bronwin. 



LXII. Notices respecting New Books. 



A Manual of Chemistry chief y for the Use of Pupils of Me- 

 chanics' Institutions. By Andrew Fyfe, M.D. F.E.S.E. 

 Edinb. 12mo. pp. 340. 



Experiments illustrative of Chemical Science ; systematically ar- 

 ranged^ S^c. By the Author of " The Elements of Chemical 

 Science." Glasgow, 12mo. pp. 157. 



IT is so little to our taste and inclination to find fault with any at- 

 tempt, however humble, to extend the knowledge of chemical sci- 

 ence, that we have long delayed noticing the first of the above- 

 mentioned works. Upon considering, however, that it is not less a 

 duty to expose the fiiults of authors than to display their merits, we 

 have at length resolved to subject Dr. Fyfe's work to a short, but we 

 trust not to too severe an examination. 



To begin at the beginning. The author informs us that the ar- 

 rangement which he has adopted " is that long ago recommended 

 by Dr. Black," On referring, however, to the Lectures of that illus- 

 trious philosopher, it strikes us that it is impossible to discover the 

 similarity which thevare stated to posse.ss. Dr. Black's arrangement, 

 as far as we think ii needful to quote it, is the following :— -Of che- 

 mistry in general —Of heat in general— General effects of mixture— ' 

 i^hemical apparatus— Chemical history of bodies— Salts— Earths — 

 fixed air — Azote, &c. Now Dr. Fyfe's order is, Attraction — Spe- 

 cific gravity— Heat— Light— Atmosphere— Oxygen--Azote— Hydro- 

 gen, 



