356 Proceedings of the Royal Society. 
= N, and consequently « = to be used for s, and more 
accurately by making A + Be + Ce? = N, and resolving the 
quadratic. See Sir Isaac’ Newron’s Geometria Analetica, 
cap. II. 
Or if the equation rises to a great number of powers, four or 
five terms may be used; and the root, obtained by approximation 
on this less extensive scale, be made equal to s, as before. 
For examples I would refer to,—Mr. Horner’s paper, already 
cited from the Philosophical Transactions for 1819, page 308, 
and to a separate publication by Mr. Theophilus Holdred in the 
following year. 
I remain, 
&e, &c. 
Art. XIII. Proceedings of the Royal Society. 
Thursday, November 7, 1822. The Earl of Dartmouth, and 
George Townley, Esq., were elected Fellows of the Society. 
A Paper was communicated by John Pond, Esq., Astronomer 
Royal, being an Appendix to a former Paper, on the Changes 
which appear to have taken place in the Declination of some 
of the Fixed Stars. 
November 14. Lovell Edgeworth, Esq., Thomas Snodgrass, 
Esq., and Charles Augustus Tulk, Esq., were elected into the 
Society. 
Mr. Pond’s Paper was concluded, and he communicated 
another, on the Parallax of « Lyre. 
November 21. Rear-admiral Sir Edward Codrington, K.C.B., 
was elected a Fellow of the Society. 
Charles Babbage, Esq., Sir Gilbert Blane, Bart., John Earl 
of Darnley, William H. Pepys, Esq., and Joseph Sabine, Esq., 
were elected Auditors of the Treasurers’ Accounts on the part 
of the Society. 
