246 



gined and called their accomplished visitors deities. In these 

 Ogygian regions we must not reckon dates too closely ; but 

 I believe it is held that the battle of Moytura, which estab- 

 lished their dominion, was fought about 600 years before our 

 Lord, and, therefore, at the very time when the fall of Tyre 

 may have been supposed to scatter its people, and the ruin of 

 their commerce incline them to desperate adventure. It is 

 possible that this conjecture may be established or disproved 

 by a comparison of the skulls found in the sepulchral monu- 

 ments on their battle-fields with those of Tyrian or Carthagi- 

 nian origin, if any such are known to exist." 



Dr. Petrie made some remarks on the different characters 

 of the bronze found in different counties in Ireland, and on 

 the manner in which bronze articles were anciently cast. 



The Rev. W. Roberts presented a memoir, by the Rev. 

 Brice Bronwin, " On the Theory of the Planetary Distur- 

 bances." 



In this memoir the disturbances are applied, as in M. 

 Hansen's theory, and, as in it, are obtained by means of two 

 times ; but the author has pursued a totally different route 

 from him in finding them. The fundamental equations are 

 investigated in a way that leads to many very beautiful for- 

 mulae, some of which appear to merit further consideration, as 

 enabling us to change the form of the disturbance function, 

 and to effect many transformations of a similar character. 



The memoir also contains a new fundamental equation, not 

 noticed by M. Hansen, and which leads very conveniently to 

 the determination of the arbitrary functions of r, the constant 

 time, in the integrals; moreover, these functions are presented 

 under a much simpler form than that given by M. Hansen. 



To determine the disturbances of the radius vector and 

 longitude, with both the times, would be a work of immense 

 labour. M. Hansen, therefore, in his lunar theory, has con- 



