274< VARIATION OF RATE IN A TlMfc-PIECE, 



number of feconds in 24 hours (864-00), and D the number of 

 degrees defcribed on each fide of the^erpendicular *. 



D* 



Then x = T x nearly. Confequently x as D* x 



524*80 

 1 .64-63 nearly. 



From the above theorem the following table was computed, 

 which fliews the time loft by a pendulum in 24- hours, by in- 

 creating its femi-arc of vibration in the fame circle T of a 

 degree. 



TaMe of vibra- 

 tions, and corref- 

 pondentlofsfrom 

 their increafe. 



Half the. arc of 

 vibration of a 

 pendulum in a 

 circle. 



P 



o i 

 of 



0| 



1 



I i 



I I 

 1 i 



2 

 2 i 



'i 



3 



3 i 



3 f 



3 i 



Lofes per day of 

 a pendulum vi- 

 brating the leaft 

 arc poffible. 



o,"o 



0, 1 



0, 4 

 0, 9 

 h 6 



2, 5 



3, 7 



5, 



6, 6 

 8, 3 



10, 3 

 12, 4 

 14, 8 

 17, 4 

 20, 2 

 23, 2 

 2.6, 3 



Difference. 



0,"l 

 0, 3 

 0, 5 

 0,7 

 0, 9 

 1,2 

 1,3 

 1,6 

 1,7 

 2, 

 2, 1 

 2, 4 

 2,6 

 2,8 

 3,0 

 3,2 



Lofes per day on 

 increasing its fe- 

 mi-a'c of vibra- 

 tioni'of a degree. 



,006 



,020 



,033 



,046 



,060 



,080 



,086 



,107 



,113 



,133 



,140 



,160 



,173 



,187 



,200 



,213 



* Simpfon's Fluxions, Art. 464, 



The 



