Miscellaneous Intelligence. 281 
of the table; and the pendulum will continue to vibrate over the same 
befor 
_ diameter as 
t us suppose that the pendulum, its point of suspension, and the 
centre of the table, are all moving as in the last case, with equal velo- 
City, in the same direction, as towards E; but that the point A of the 
table, is moving in the same direction, that is towards D, with a greater 
velocity. In this case, the point A will leave the pendulum which 
the table is a solid, the excess of velocity at A over that of the centre 
K, will tend to give to the whole mass a rotary motion around the centre. 
ence, if another pendulum be supposed to vibrate from the same point 
of suspension, over any other diameter, as NO, its relative direction 
will change with the same angular velocity as the former; and the di- 
ameter over which it vibrates, will appear to recede from NO to MP. 
es » fig. 2, represent a me- - 
Tidian of the earth. Let the table, perir=e * 
fig. 1, be supposed to touch this me- i 
ridian at K. From the extremity A ey 
Point A: and a endulum, vibrating over any other diameter of the 
table, to change its relative direction, with the same angular velocity. 
&circle around the point K, the radius of which is AK. Hence, 24 
hours : time of ferole n::AE:A But the angle AKE is equal to 
the angle KCG (which is the latitude of the point K) each being the 
Complement uf CKG, Hence, AE: AK :: sine of the latitude: radius. 
We have therefore the following proportion, 
__ Sine of latitude : radius :: 24 hours ; time of revolution. 
sonD Sznres, Vol, XIX, No. 56,—March, 1855. 36 
