( 544 ) 
3. Roots, for which 7 = is not small and @ may still have an 
arbitrary value. 
V 
f? has then at least a value of the order — and the period is of the 
“0 
order oe A priori we might have foreseen that such solutions 
must exist. If we imagine two plane reflecting plates instead of 
the vibrators, a vibration might exist between them with a time of 
2 2 p 
oscillation rak As the vibrators have another shape and as they 
emit vibrations in all directions, and not only towards each other, 
we shall have to apply a correction to this time of oscillation, 
just as is the case with the open ends of an organ tube. This 
correction is perhaps very considerable. But a vibration with 
a time of oscillation of the order jes must exist. Moreover we 
shall find a series of overtones, as equation (3) has an infinite 
number of roots. 
Thus far we have occupied ourselves only with the function- 
solution. It is however easy to find also the general solution. 
Lr 
If we represent between the moments 4 and 4 + the electric 
moment a, by pj (t) and ay by wi (t), the equations (1) and (2) take | 
the following forms: 
d° Gen bidet 
day da, v1 ( We bn ( ZON 
Ade nnie 8 Gn Ye eee ne + A; 
3 dt? 2 5 "4 
ine ) 
+ Ag Wi ((—+) = 
Ay 
a (5) d (5 
d ay d* tg PA V Pl a 
B, dt? =r oe dt? + Bs pi Ag =I 5 
als) led 
\ V 
These equations can certainly be solved. 
