348 Mr, Goldingham's Report [Nov. 



height of the pendulum above the level of the sea at low water 

 was \2}t feet, or 0*00236742 of a mile ; the radius of the earth at 

 the equator being allowed 3967*5 miles. Hence the correction 

 for tlie height of the pendulum above the level of the sea will be 

 + 0*0514 of a vibration. 

 The true number of vibrations in 24 hours will, therefore, be : 



First set (L) 86164*9822 



Second 86166-0177 



Third 86167*1624 



Fourth 86167*2848 



First set (R) 86165*1286 



Second 86165*9629 



Third 86167*4350 



Fourth 86167*4173 



In London, latitude 51° 31' 8*4''', the pendulum of experiment 

 made 86293*14 vibrations in 24 hours, the thermometer being 

 67*6, and the barometer 29*97 inches ; the height above the level 

 of the sea 83 feet. Hence the correction for the buoyancy of 

 the atmosphere, allowing the Mint specific gravity, will be 

 + 6*7478 ; and that for the height above the sea + 0*22 : the 

 true number of vibrations in 24 hours will, therefore, be 

 86300*1078, the square of which is 7447708606*2916. 



The length of the seconds pendulum in London at the tem- 

 perature of 70°, deduced from Capt. Kater's experiments, is 

 39*142434 inches. 



Now 86300*1078^^ : 86400^ :: 39*142434 : 39*23310101 

 inches, the length of the pendulum of experiment. 



Then by the first set (L) 86400^ : 86164*9822^ :: 39*23310101 

 : 39*0199543268 the length of the pendulum at Gaunsah Lout. 



By the same operation, the length of the pendulum at Gaun- 

 sah Lout by the second set (L) is 39*0208915108 ; by the third 

 39*0219289661 ; by the fourth 39*0220398271 inches. 



Repeating the operation, the first set (R) gives the length of 

 the pendulum at Gaunsah Lout 39*0200869218; the second 

 39*0208425551 ; the third 39*0221758674 ; and the fourth set 

 39*02215983605 inches. 



The mean of these will be : 



■First 39*0199543268 



Second.... 39*0208915108 



Sets(L)< 



Mean 39*0204229188 



Third 39*0219289661 



Fourth.... 39*0220398271 



39*0219843966 

 Mean of the fom- sets. . 39*0212036577 



