219 



Monday, December 8th, 1851. 



WILLIAM HAMILTON DRUMMOND, D. D., 



in the Chair. 



The following antiquities, found in the lake of Cloonfree, 

 were presented to the Museum of the Royal Irish Academy by 

 Alonzo Lawder, Esq., of Cloonfinlough, Strokestown, through 

 Eobert Callwell, Esq. : 



1 . A horse-shoe, made of iron. 



2. A fragment of iron, probably part of the hilt of a sword. 



3. An iron spike, for butt-end of a spear. 



4. A bone spear-head. 



5. A bone pin. 



6. An amber bead. 



7. A bronze tweezer. 



8. Ditto, broken, but of different matter. 



9. A bronze pin, with ornamented head, having a cross 

 and arrow-shaped device carved on two sides of it. 



10. A very long bronze pin, with ornamented spike, head, 

 and ring ; a peculiarly fine specimen. 



11. A small iron pin, with head bound with bronze wire, 

 and small circular disc pendent. 



12. An amber bead. 



13. A buckle. 



14. A bore's tusk. 



The Secretary, in the absence of Sir W. R. Hamilton, read 

 the following remarks on the connexion of Quaternions with 

 continued fractions and quadratic equations. 

 1 . If we write 



b t b 2 b x _ N x 



a x + a s + a x D x 



it is known (see Sir J. F.W. Herschel's Treatise on Finite Dif- 

 vol. v. s 



