1823.] Mr. Goldingham on the Velocity of Sound. 205 



meter, and hygrometer, remained the same as in the NE mon- 

 soon ; but having been different, the velocity was accelerated 

 from both guns on this account, in like manner as it was retarded 

 in the NE monsoon. 



The following are the results deduced from the experiments in 

 the different tables. I shall first give the general results from 

 Table T. and VI. 



Table I. 



Or almost precisely the same as the velocity by the theory. 

 Table VI. 



Here we find a difference from the former general result by 

 the observations with the Mount gun ; the reason of which 

 appears to be, that I could not, as I have before stated, carry on 

 the observations during at least a complete revolution of the 

 changes in the atmosphere ; and that this is the reason I shall 

 now endeavour to show. The interval wanting is between the 

 28th of March and the 16th of July. Had this interval been 

 wanting in the experiments with the Mount gun, there would 

 have been a difference of 0*237 seconds in the mean result ; for 

 the mean of the experiments in this interval is 25*632^'', and the 

 mean of the whole 25*869'', making the difference just men- 

 tioned. 



Now 25-869'' + 0-237" = 26-106", which would have been 

 the mean number of seconds had the observations with the 

 Mount gun been continued during the same interval only as the 

 experiments with the Fort gun. Then 26-106" : 0-237" :: 

 12-306" (the mean of the Fort observations) : 0-112". Now 

 12-306" -0-112" = 12-194", which would have been the gene- 

 ral mean of the experiments with the Fort gun, had the same 

 been continued as long as the experiments with the Mount gun. 

 Then the distance 13932-3 feet, divided by 12-194, will give 

 1142-5 for the motion of sound by the experiments with the Fort 

 gun thus brought on ; and this also agrees, within a fraction of 

 a foot, v/ith the velocity according to Sir Isaac Newton ; and 

 with the results by the two other celebrated philosophers before 

 named (Halley and Flamsteed). 



