Motion of Solid and Fluid Bodies. 167 
2=— =e no +S pw FE 4 put ay +6 
aa) 
ay Ss olf dé 
I = ne) Ee -- M az Leet aw baw +48 
dz 
— dv, __ dy dé 
2 ae at Bayt ma + Lu + 7;V + Bw 
oa dv, __ dy dé 
lame aaa sat hate ae ia est ai il 
_2 ON dy dg A 
I=7T- Te thge ty 27 BaD GY i NW 
It appears, from inspection of equation (19), that it may be thrown into the 
form, 
GSS e( x8 + Yon + 28¢)dadydz = SS (Noe + Dey + OC) dydz 
+S (aby +58 + 58)dedz (22) 
H+ YS (AeE + 1085 + boy )dady 
—SNN(GE + + eH (B+ Et Bert Gt EtG i aed 
dx as dy dz eda dz) dg ? 
and, consequently, the equations of equilibrium and motion become 
d dy 
xe N 
2) 
dx ave ie 
d 
eae 
dy 
dx 
da ds eat ay 
ate =0 (23) 
ds 
dx 
dy oe 
hate dz ati +9 a el 
and 
ve _ dx di 
de ae +2 ote 
3 i 
Ge i a8 db 
‘GH ct Tee Ti age dx ian 
VOL. XXI. Qa 
