wh 



ere 



Wave-Motion in an Elastic Solid. 



489 



(36) 



Consider now separately the equivoluminal and the irro- 

 tational motions. Using (19), (18), (35), (31), and taking 

 the equivoluminal constituents, we have as follows : — ■ 



( Equatorial, x=Q ; ^=0 "1 



^ ' \r° rhir tutt* / J 



{ Cone of latitude 15°, x 2 =xi/ = ^r 2 



( Axial, x? = r i , i7i=0 1 



(37) 



(38) 



l*-*( 



H 



% x + 



24 9 3 

 r 2 ur 



SL 



■01 



(39) 



where 

 § 14. Similarly for the irrotational constituents ; 



(40). 



f Equatorial, x — ; ^ 3 = "1 

 f Cone of latitude 45°, ,2? 2 =i7/ = -Jr- 9 1 



( Axial, a? 2 = r 2 ; ^ = 1 



(41) 



(42); 



(43); 



