Geological Society. 271 



different sines when some of the observations are on one side 

 of the meridian and some on the other. 



And this new term is too important to be neglected, 



1st, In low latitudes, when ~ is large. 



2nd, At a*distance from the meridian, when P is large. 

 3rd, Near the equinoxes or planet's nodes, when 8 is large. 

 4th, When the observations are principally on one side of 

 the meridian. 

 If we make 



cos L sin A , , /cos 2 L sin 2 A cot Z\ , XT cos 2 L 



- jj -, ., . M= ( . . r . ) and N = . . ^ 



sm Z sin 1" \ sm 2 Zsml" / sin 2 Z 



K = 



x = versin P . K (vers P 



vers2P 



which is the form most easily calculated for a repeating circle, 

 with a table of natural sines and versed sines, when Mr. Daily's 

 convenient Tables are not at hand. 



S. SHARPE. 



XLVII. Proceedings of Learned Societies. 



ANNIVERSARY OF THE GEOLOGICAL SOCIETY. 



Address to the Geological Society, by the President, the Rev. ADAM 

 SEDGWICK, M.A. F.R.S. #c., on announcing the first award of the 

 Wollaston Prize. (February 18, J 831.) 



Gentlemen, 



BEFORE you proceed to elect the Officers and Council for the 

 coming year, it remains forme to announce from the Chair the ad- 

 judication of the Wollaston Prize. The affecting circumstances under 

 which it was founded, so short a time before the death of one of the 

 most illustrious men who have adorned our lists, the earnest wishes he 

 expressed, almost with his dying breath, for the honour and well-being 

 of this Society, and the peculiar public interest attached to a first 

 award, have thrown a more than usual responsibility upon the Coun- 

 cil. We were deeply conscious of this responsibility ; we have not 

 come to our decision lightly ; and in what we have done we look for 

 your entire approbation. 



I am anxious, in the first place, to recall to your recollection the 

 powers committed to the Council, and the spirit of the instructions 

 by which they were directed in their award j and I have no means of 

 doing this so effectually as by quoting a portion of the communication, 

 in which Dr. Wollaston first informed us of his intention of establish- 

 ing the " Donation Fund." After stating that he had invested one 



thousand 



