GRAVITATIONAL STABILITY OF THE EARTH. 203 



we transform the series 



1T1 _&_ 8x 4 , y (2*+2)(2*+4).t* "I 



5[_G 2.7 2.4.7.9 ' 2.4 .6.7. 9...(2K+5) '"J' 



IT 1 x 8s 4 , _y (2* + 2) (2* + 4) a* "1 



s|_6.7 2.7.9 2. 4.7.9. 11~ ' 2 .4.6 .7.9...(2c+7) " J 



[1 _^_ Sx 4 x v. (2K+2)(2>c+4)a* "I 



L6 2.5 2.4.5. 7~ "* ' 2 . 4 .6. 5.7...(2/c + 3) "J" 



respectively, into the forms 



Ll7l-2 4 J_\ aJ/i !_ 3 \ / 1 -2 S_ ] 



ieLV ~3 3.5/~ ' \3 3.5 3.5.77 \3. 5 3.5.7 3.5.7. 9/ J 



L[(l- A. J^-\-^(^ 6 15 \ 



16L\3 3.5 3.5.77 \3.5 3.5.7 3.5.7.'J/ 



J 1_ 6 15 \ ] 



; \3.5.7 3.5.7.9 3. 5. 7. 9. 117 "J" 



or 



L[(i-*+.*L > \_21 -^- x< Ua/'-L ^ _*!_ \1 



16L\ 3 3.5 \3 3.5 3.5.7 "/ \3.5 3.5.7 3.5.7.9 "/_]' 



*!_ Ue/'-L ^ ^ 4 \ 



.5.7 "/ \3.5 3.5.7 3.5.7.9 "/ 



iJ_JL ^ g* \1 



V3.5.7 3.5.7.9 3.5.7.9.11 '"/J 



_ -- 

 16L\3 3.5 3 



i-x+-.--- 



Tell 1 h 3 3.5^ 335 'V 3.5 3.5.7 



Now we have 



and therefore the three series are respectively equal to 



16 _ 



2 D 2 



