4 
Dispersion of Colors in perfectly transparent Media. 269 
This expression reduces by equations (4) to 
Am" (A'a! + BB+ Cy" +E By +F’yat G'af) cos? 2a Do. 
The kinetic energy of the irregular flux in a unit of volume is 
therefore 
Tat (Ala BS +/+ Eiby +P yatG@iap. (9) 
10, Equating the statical and kinetic energies, we have 
3(Aa’* +B" + Cy’ +EBy + Fyat Gap) 
=" (a+ +7) 
+22 (Aa + B+ Cy + Eby +Fyat Gap), (10) 
waves is given by the equatio 
eee Aad’? +BR?+Cy’?+EBy+Fyat+Gap 
p on 2 2 2 
The velocity (V) of the corresponding system of progressive 
n 
a+ 
oe A'a? +BiP+4C'y +E By +F’ ya+G@'af 
a 2 * 
ug 
11 
a + fF + & 
If we set 
1 ae eer 2% 6, 
ie bio gee a etc., (12) 
a patti +y’, 
the equation reduces to 
as’ + by? + ca" + eyz +fea+gey=1. (14) 
Then 
1 ax* + by*® + cz? + eyz + few + guy 
ght r ‘ 
If this radius is drawn parallel to the electrical oscillations, we 
shall have 
and Wook (15) 
r 
