422 Abstract of Meteorological Observations in Brazil. 



will however be found that Lagrange had long before arrived 

 at the same result. In his memoir cited below*, the last-men- 

 tioned illustrious analyst expresses the root of such an equa- 

 tion as that above alluded to by means of the same (logarithmic) 

 process as that employed in the derivation of the rule of 

 Murphy. Although the results of Lagrange and Murphy are 

 identical, yet the great fame of the latter philosopher is fixed 

 upon too sure a basis to be in the slightest degree shaken, 

 even when we shall have restored this discovery to him to 

 whom it is justly due. This is not the place to dwell on the 

 relative lengths to which those twa analysts have pushed tiieir 

 researches in this direction. 1 may observe, that my atten- 

 tion was attracted to the memoir of Lagrange by seeing it 

 referred to by Garnier at page 35S of his Analyse (Paris, 

 1814), but my leaving town on circuit and other circumstances 

 prevented me from noticing it till now. 



2 Church- Yard Court, Temple, 

 May 13, 1848. 



LVin. Abstract of Meteorological Observations made during 

 the year 1847 at Gongo Soco, in the interior of Brazil. By 

 William Jory Henwood, F.R.S., F.G.S., Member of the 

 Geological Society of France^ Chief Commissioner of the 

 Gold Mines of Gongo Soco and Bananal, Sfc. S)-c.\ 



'^r^HE instruments, their situations, and the hours of obser- 

 -i- ration have been the same as in former years % ; and I have 

 again .to thank Captains Blaney, Pengilly, Luke and Guy, 

 for the results obtained at midnight and at 3 a.m. 



exposition of Horner's method by Mr. Peter Gray, printed in the Mechanics' 

 Magazine for March 1844. Mr. Davies also requests nie to state, that a 

 paper sent to the Royal Society in 1823 by Mr. Horner himself, has been 

 printed in the Matiiematician, vols. i. and ii.; a paper to which Mr. Davies 

 considers it important to direct the attention of every one who takes in- 

 terest in the problem of the numerical solution of algebraic equations. 



* Nouvclle Mrthodc poti)- resoudre Ics equation!, liitcraks pa?' le mot/en 

 des series. Par Mr. de la Grange. Published in the Berlin Memoirs for 

 1768, pp. 251-326. See the seventh article, pp. 261-263. 



t Communicated by the Author. 



X Phil. Mag. 1846, xxviii. pp. 364, 366. 



