1180 
shall deduce from (20) and (21) two other equations, which contain 
each the seven phases. We may obtain infinitely many of those 
equations, which are however of course dependent on (20) and (21). 
When we multiply e.g. (20) by 2 and when (21) is added to this 
then we find: 
OP LY Ot5R BST AU = 07s Mme 
When we multiply (20) by 8 and when we add (21) to this, 
then we find: 
SPLSIOL TRI ESAT SU 187 =0. ANS) 
Now we have to choose in (22) and (23) the order of succession 
of the phases in such a way that condition (3) is satisfied. 
As: 
al 
volte 
ee be as ee eo 
we must consequently write (22) in ae form: 
TES LQ NR EA U NP SON 
Therefore we obtain the series of signs: 
| S Q zl R | UP 
SS SEE 
for which we can also Br 
Jh | S Q Abal 
tak 
Hence it appears consequently that the P,7-diagram consists of 
the 2 twocurvical bundles (P+ 7’) and (S + Q) and of the 3 one- 
eurvical bundles (VV), (#) and (U). Starting from (P) is, therefore, 
in accordance with (25) the order of succession of the curves: 
(P), (1), (V), (U), (S), (Q) and (R), which is in accordance with the 
symbolical diagram 20 (IV) and fig. 1d (V). 
We assume that in a system: with 5 components the reactions: 
PENS De Visa. ee ee 
and LP OO AR EPSP GU 3V=0 | REK) 
occur. We have to choose in those equations the order of succession 
of the phases in such a way that condition (3) is satisfied. As 
nt tent 
we have to write, therefore, for 26: 
(25) 
Pr SOS WARE KU =O ho ees 
we obtain consequently the series of signs: 
PYPNO eS Va) RU (29) 
beslaan ees 
The P,7' diagram consists, therefore, of two twocurvical and one 
threecurvical bundle and it can be represented by fig. 2 h (V). 
