PROCEEDINGS 
or 
THE ROYAL IRISH ACADEMY. 
1846_7. No. 6}. 
February 8th, 1847. 
’ REV. HUMPHREY LLOYD, D.D., President, in the 
Chair. 
. The Rev. Henry Tibbs and John O’ Donovan, Esq., were 
__ elected members of the Academy. 
A paper by the Rev. M. Roberts, on the lines of curva- 
ture on sat surface of the Ellipsoid, was read by Mr. Ingram. 
ca ed by M. Liouville to da. French Academy of Sciences, 
where he has shewn, among other things, that the sum (or 
‘ fference) of the geodetic distances from the umbilics to any 
nt of the same line of curvature is constant. The follow- 
y M. Jacobi in the integral of the differential equation of 
th e geodetic line, appear worthy of the attention of geometers: 
as i. Assuming the distance between the umbilics (interior) 
- the base of a system of triangles, whose sides are geodetic 
VOL. Ul, 2K 
~ ih oo 
i 
