130 MAJOR P. A. MACMAHOX OR A CERTAIN CLASS OF 
CO 
CO 
“l4^/l4 
P-2-. 
“■23^/235 
^249'24 
1 
1 
*13 
P3> 
“345'34 
CO 
11 
*23 ’ 
Ps> 
“345'34 
1 
1 
1 
1 
3 
P4 
> 
P4 
*14 
^34 
^24 
*34 
— ^ 234 ’ 
Pi’ 
“122'i25 
14^14 
1 
^12 
P-2’ 
“33^235 
“34224 
1 
> 
*13 
1 
*23 
P‘6’ 
“34234 
1 
1 
1 
3 
3 
— 
/^4 
*14 
^24 
*34 
The six undetermined quantities that have been introduced must satisfy these five 
equations. However, the six quantities only enter the equations in three combina¬ 
tions ; for, writing 
ai 3 
713 — J 7i4 — ' ^ ’ 724 — ’ 
« 12«23 « 12 « 33“34 « 23«34 
the five equations are easily transformed into the following five— 
2h> 
2i2) 
7132i3 
2^n 
2i3’ 
724 
1, 
P-2’ 
223 
” Pl33> 
1, 
P-2’ 
224 
— Pl34) 
1 
7i3 ’ 
1, 
724 
714 ’ 
1, 
Pi 
Pl^ 
2i3! 
'iu 
7i3 
P-2’ 
233) 
y-24iu 
1, 
P3> 
234 
— 2^1345 
1, 
2^3) 
234 
— P234) 
7i3 
714’ 
1, 
2^4 
1 
724’ 
1, 
Pi 
Pi) 
2i2) 
7i32]3 
7i42i4 
1, 
P3) 
223) 
724234 
1 
713 ’ 
1, 
P'6’ 
231 
— Pl234) 
1 
714’ 
1 
724 ’ 
1, 
P4 
