Figure of tlte Earth, 



493 



The following table gives the calculated values of e } using 

 the value of m obtained by assuming 



79 V 



P = A-B 



(fij 



, Density at the 



Density at the 



Mean 



1 



surface. 



centre. 



density. 



6 



3 



30 



5-5 



303 



3 



25 



5-5 



303 



3 



20 



55 



302 



3 



15 



5-5 



300 



3 



13 



5-5 



300 



3 



12 



5-5 



299 



3 



10 



5-5 



297 



25 



30 



5-5 



310 



2 "5 



25 



5-5 



309 



2-5 



20 



5-5 



307 



2-5 



15 



5-5 



306 



25 



10 



5-5 



299 



It appears from the above table that the value assumed 

 for the density at the centre does not greatly affect the result. 

 I believe that any assumption concerning the density, which 

 makes it decrease as the radius increases and which gives 

 approximately the known mean and surface densities, cannot 

 give a value of e differing much from those in the table. 

 I tried another completely different formula for the density 

 to see what result it led to. The formula is 



H 



r (/3-fK) 3 



To make the surface- density 3 and the mean density 5*5, 

 I found that H and K must be 16*35R 3 and * 7 6R respectively. 

 These values make the density at the centre very large, 

 namely 37*2. The value found for m is 4* 68. This gives 



1 =299. 



The value I consider most probable from my calculations 



is 



1 



= 303. 



Phil. Mag. S. 6. Vol. 14. No. $2. Oct. 1907. 2L 



