33o Elliptic disk of ellipticity e in translation perpendicular to its faces, a> h\ References 

 (240) and (235): 



T= — p a'^hU'^, e=~y a'^-b'^ ; 



3E 



(apparent increase in mass) 



~ I 



(— pn ah = ellipsoidal mass of fluid with 



axes a, a, b) 



= /fc"= — , 

 E 



77/2 



E= I Vl-e^ sin'^ 6 dd^ the complete elliptic integral of the second kind to modulus e; 



•^ for table, see Peirce (20). 



a/b^l 1.25 1.5 1.75 2 2.5 3 4 6 9 



/?;"= 0.637 0.705 0.756 0.795 0.826 0.869 0.898 0.932 0.964 0.981 



34. Ellipsoid, any ratio of the axes a, b, c; see Section 141: 



Let On = abc 



d\ 



J^ (a2 + A)3/2 (62 + A) 1/2 (c2 + A)i/2 



^Q = abc 



d\ 



{ (a2 + A)i/2 (62 + A)3/2 (c2 + A)i/2 



^0 



= abc 



^ (a2 + A)i/2 (62^ A) 1/2 (c2 + A)3/2 



(1) Translation parallel to the a-axis: 



/ i 



2 ao , 

 r= — P77 abc i/2, 



3 2-ao 



4 "0 



M'= — pn abc, k= 



3 2-a, 



394 



