1872.] tts Imperfections and their Remedy. 51 
sum of the seven normal wave-lengths =S, and the sum of the 
seven corresponding internal wave-length =s, we have 
(S=e)55 
Sek ee a 
7 
and its value in this case is 0°026605. 
= 
From the formula 
é 
we obtain a second set of values of the internal waves, as 
follows :— 
bo. One do. €2. ioe 22. gultae 
0°803309, 0°766448, 0°685842, 0°610133, 07560834, 0°493948 07448712. 
The differences between these and the former set are the 
quantities represented by x, and they stand as under :— 
x minus. 
bx 0°000520 
Cx 0°000216 
&x O'OOOI0O 
h, 0°000660 
x plus. 
d, 0°000354 
€, 0°'000608 
fi 0°000526 
Sum o'001488 
Sum o*o001496 
The equality here, although near, is not perfect, showing 
that a slight adjustment is required to bring these quantities 
under the dominion of the general law of the conservation 
of energy, Neither do they perfectly agree with the other 
laws before mentioned, but the difference is small. When 
these quantities are adjusted according to the laws, neglecting 
the prefixed cyphers, they stand thus :— 
x plus. x minus. 
dx 355 by 521 
€, 609 oe de 
fe 520 gx 93 
h, 660 
1490 1490 
We have also— 
x plus. x minus, 
36, 1563 3hz 1980 
20, A32 2g, 186 
1995 2166 
Wess.) 355 Wess 7, 520 
1640 1640 
