CONTENTS. IX 



PAGE. 



On some ancient Inscriptions in Scotland. By John Ramsay, Esq., 

 of Heading-tiill, Aberdeen 445 



Some Remarks on the preceding Communication. By George Pe- 

 trie. Esq 452 



On a Mode of ascertaining the general State of the Weather. By 

 Lieutenant Steevenson, R.N 454 



On the Development of a Function in Factorials of the variable 

 upon which it depends. By Rev. Charles Graves 455 



On an antique Gold Ornament, the Property of theEarl of Leitrim. 

 By Rev. Charles Graves 460 



A Theorem of Anthodographic Isochronism. By Sir W. R. Ha- 

 milton, LL.D 465 



On some Improvements in the Construction and Use of the Gal- 

 vanic Battery. By Rev. Dr. Callan, Professor of Natural Philo- 

 sophy in the College, Maynooth 471 



On the MSS. relating to Ireland in the Burgundian Library at 

 Brussels. By S. H. Bindon, Esq 477 



On certain Properties of Curves and Surfaces of the second Degree. 

 By J. K. Ingram, Esq 502 



On the Application of the Calculus of Quaternions to the Theory of 

 the Moon. By Sir William R. Hamilton, LL.D 507 



On the Composition and Optical Properties of Hyalite. By James 

 Apjohn, M. D 521 



On the Effect of Heat in lessening the Affinity of the Elements of 

 Water. By Rev. T. R. Robinson, D. D 525 



On an Extension of a Theorem of Euler. By Professor Young. 526 



On a Theorem respecting Products of Sums of Eight Squares. By 

 John T. Graves, Esq 527 



On the Association of Ideas. By Rev. James Wills 531 



On a Leaden Seal of Herbert de la Mara. By Sir William Betham. 534 



On the Solution of linear differential Equations, and'other Equations 

 of the same kind, by the Separation of Symbols. By Rev. Charles 

 Graves 536 



On the Generation of Surfaces of the Second Degree. By Rev. 

 George Salmon ' ib 



On the Mission of the Father Hugo de Burgo to Belgium in 1644. 

 By S. H. Bindon, Esq 538 



Objects Exhibited,— pp. 247, 260, 263, 266, 270, 272, 441, 460, 465. 

 Resolutions,— pp. 25, 65,73, 109,110, 111, 138, 151, 191,192, 201,217, 



237, 260, 263, 272, 356, 416,507 531,. 

 Election of Council,— pp. 69, 186, -201, 221, 416, 531. 



Election of Members,— pp. 1, 17, 2.5, 64, 72, 74,77, 105, 109, 138, 151, 

 186, 191,203, 233, 259, 305, 325, 355, 383, 419, -^55, 507. 



