CONTENTS. 



PART I. 



SCIENCE. 



' Page. 



I. Supplement to an Essay on the Theory of Systems of Rays. By 



William R. Hamilton, A. B., M. R. I. A., M. Ast. Soc. Lond., 

 Hon. M. Soc. Arts for Scotland, Andrews^ Professor of Astronomy 

 in the University of Dvhlbi, and Royal Astronomer of Ireland. 

 Read April 26th, 1830 4 



II. On tJie Error of a received Principle of Analysis, respecting Func- 



tions which vanish with their Variables. By William R. Ha.- 

 mWion, Royal Astronomer of Ireland. Read January 25th, 1830 GS 



ANTIQUITIES. 



I. Essay on the Ancient History, Religion, Learning, Arts, and Go- 

 vernment of Ireland. By John D'Alton, Esq., Barrister at 

 iaw, M.R. I. A. A Prize Essay. Read November 24th, 1828 3 



PART II. 



SCIENCE. 



I. On the double Refraction of Light in a crystallized Medium, ac- 



cording to the Principles of Fresnel. By James Mac Cullagh, 

 Esq. Communicated by tJie Rev. Dr. Sadlier, S. F. T. C. D., 

 Vice-President. Read June 21st, 1830 Q5 



II. Geometrical Theorems on tJie Rectification of the Conic Sections. 



By James Mac Cullagh, Esq. Communicated by the Rev. Dr. 

 ^iSi^\\QX,^.V.T. CD., Vice-President. Read June 21st, 1830. 79 



