184 



stration of the equation which results from the application of 

 Lagrange's celebrated scale of reduction to elliptic functions 

 of the second kind, and which is nothing more than the 

 analytical expression of Landen's theorem. 



Professor Mac Cullagh exhibited to the Academy some 

 Roman Denarii, from the collection of Mrs. Alexander of 

 Blackheath (Coleraine). 



These coins (twenty-eight in number) were found in 

 the year 1831, along with an immense quantity of others 

 of the same kind, weighing altogether about eight pounds, 

 by a labourer who was digging in a field on the Faugh 

 Mountain, near Pleaskin, one of the headlands of the 

 Giant's Causeway. According to an account published 

 at the time in the Belfast News' Letter (June, 1831), and 

 communicated to the Academy by the Rev. Dr. Drumniond, 

 they were found under a flat stone which was turned up by 

 the spade. Nearly 200 of them (says this account) were sold 

 for a trifling sum to an English gentleman at Coleraine, and 

 some of the remainder were bought by the Rev. R. Alexander. 

 Of the twenty-eight coins that were exhibited, only seventeen 

 have their legends legible, and these are of the times of the 

 emperors, from Vespasian to the Antonines. The following 

 list of them has been supplied by Dr. Aquilla Smith, with 

 references to the catalogue of the University Cabinet, pub- 

 lished by the Rev. J. Malet, F.T.C.D. 



1. Vespasian, 



2. Vespasian, 



3. Domitian, 



4. Domitian, 



5. Nerva, 



6. Trajan, ^ 



7. Trajan, S 



8. Trajan, 



9. Trajan, 

 10. Hadrian, . 



Malet, 384. 



Reverse, a winged Caduceus. 



Malet, 452. 



Reverse, Minerva. 



Malet, 467. 



Malet, 513. 



Reverse, Minerva. 

 Reverse, a Female seated. 

 Malet, 548. 



