IC 



wliicli is n.«simie«l to l»e confct in onin|mtii)s; the rwiilt nml it ftlfc> liup|icn8 

 to Itc verv nearly the mean of the two densitii's jiiven abt)vt'. 



The time uf a sin<;le vibration of tlie [XMidiilum at the level of tlie sea at 

 Kujinoyama was not (letormincl experimentiUy hut it may lie deduced from the 

 Tokio lesiilt witli siifKcient acciimcy hy the application of the orttinarj' formida. 



The ditVcrence of latitude U-tween Tokio and Fujinoyania is alxmt 19' and 

 fmtji this we ohtuiu for the jieriml at the sea level at the foot of the mountain, 



t, = .999847 



From this it is« eti.«y to caloniate what the force of gravity wouM be at iho 

 lieight of the summit, if the mountain did not exist. It is,— 



</j = 9.78G.') 

 and 



h = 1.00O21 



that is,— 



Attraction of Mouutjiin = .0JO21 Attnction of Earth. 



The attraction e.\ertc<l hy a cone on a particle at it« vertex is. — 



■irdh sin' — 



s 



in which J reprtsents the ilens^ity of the cone, h its height and a its semi-vertical 

 angle. 



Substituting in this formula the values of the quantities given above there 

 results for the attraction of the mountain; — 



.1. = 20.072 



The volume of the earth is very approximately 



2594 ,- 10' cubic miles 

 and if its density be represented by D, its attmction will be found to be;— 



A. = 1C55C I) 

 Combining this with the tfjuation given above we find, — 



D = 5.77 



