SURFACE-TENSION OF WATER BY THE METHOD OF JET VIBRATION. 285 

 Eliminating & from (10) and (11), we get 



/ -r C0\ . 3! . i 3o>i 



r V-tD -<! + 2-^ + ' = -2-^, 

 \ /* / or r 02 



which gives 



(15) 

 / 



We have, however, 



whence we get 



J.J.(ar)i* l + * r l = 2/ f 6'+ASe > )j.(Wr)^ l *** i = 2#J ll (id/-)e" s+a *; (16) 

 or J p./ 



from (15) and (16) we get 



a l =^W n (id r )+C3 n (ich')^e<>+*, ...... (17) 



and from (11) we get 



1 3/8! _ 3aj , i , 3d)! 

 r 35 3r r 3z 



e"'* + *-". . (18) 



With the help of the relation 



J.() + ij + (l-5)j.()-0 ...... (19) 



U./ \ tX/ / 



(18) gives 



(20) 



Introducing in the equations (9) and (5) the values of p, a. l} fi lt and aj 1( found by 

 (12), (14), (17), and (20), we get 



a = - 



JB BB ^^, . . . (21) 



bcp r a r 



= c+[ -A 



