Proceedings of Societies. 175 



chronometer, he has been enabled to account for the whole series of changes 

 in the clearest and most satisfactory way. The formula in question is 



24' 



{0)^4 



where a denotes the primitive arc of vibration, a' the arc resulting from 

 the action of a disturbing force, and n the exponent, denoting the ratio 

 between the elastic force of the spring, and the angular distances from the 

 point of quiescence. 



By considering the way in which the value of this formula must be mo- 

 dified, by assigning different values to the elements a' and n, according 

 as we conceive the elastic force of the spring to vary directly with the an- 

 gular distances from the point of quiescence, or in a less or agreater ratio, 

 he has been enabled to explain why some chronometers gained by dimi- 

 nished pressure, and lost by increased, whilst others possessed properties 

 precisely the reverse. This paper occupies above forty pages of the trans- 

 actions. 



Art. XXXIII.— PROCEEDINGS OF SOCIETIES. 



Proceedings of the Royal Society of Edinburgh. 



March 21, 1824. — A Paper, entitled Observations on the Motions of the 

 Eye-ball, by Mr Charles Bell, was read. 



There was also read, Farther Observations on the Vision of Impressions 

 on the Retina. 



April 4. — The following gentlemen were elected Ordinary Members : 

 The Right Honourable Lord Belhaven. 

 Dr Reid Clanny, Physician, Sunderland. 



Sir James Hall read a Paper " On the Consolidation of the Strata," 

 of which we have given a full abstract in this Number, p. I. 



April 18. — A Paper on the Construction of Oil and Coal Gas Burners, 

 &c, by Dr Christison and Dr Turner, was read. 



May 2. — The above paper was concluded at this meeting. 



At the same meeting was read the Description of an Instrument for 

 Registering the Indications of Meteorological Instruments, in the absence 

 of the Observer. By H. H. Blackadder, Esq. 



May 16. — Dr Knox read a paper, entitled Observations on the Mo- 

 tions of the Eye-ball. The object of this paper was to demonstrate, in 

 opposition to the opinion of Mr Charles Bell, that the eye had no up- 

 ward involuntary motion in a state of repose. 



At this meeting Dr Turner exhibited to the Society the Experiment 

 of Condensing the Gases into Liquids by their own pressure. 



There was laid before the Society a paper on the Refractive Power of 



