( 650 ) 
a = ((l—2) Va, + 2 Va)’. 
Further we admit for 4 the ordinary linear relation 
b = (1—2) b, + ab, . 
The suppositions, on which the following calculations are based, 
are consequently the following. 
1st. the equation of state of van per Waats, with 5 independent 
of v and 7. 
2.4. the ordinary suppositions about a and 6. 
3rd, the special supposition a,, = Wad. 
From the expressions for a and 5 used results: 
fi da 
= = 2 (a — #) Va, + & va) (Va, Ty Va,) =2 Va. (Va, = Va) 
Pa 
dx? = (Wa, — Y4,) 
db d°b 
—=),—), ; —=0. 
dau dax? 
If we did not put a,,=—=Wa,a,, then we should have found 
d'a 
em) so only somewhat less simple. 
Òw 
Ou? 
3. We will now calculate 
For (3) we can write: 
da Wa a 
"== ae ( Va, a Wa) Tm (» =F 5) (6,— b,), 
on 
so that we nN when for shortness’ sake « is written for 
Va,—Va,, and 8 for b,—b,: 
dw 2 ae i 
PE =— (Ma, — Ma)? — — (Wa, ape 
2Va ; 2a Ov 
ee (b, Or b,) ae (Va, ay Va.) TEE a — 
v v av 
207 Zag Wa zE (= 2a z) Ov 
? En 
v v v* v? Ox 
2 ( Ov 
st | Fes ae Va ze “(0 Va En a) v 
v v v v Oz 
dv 
Consequently we must calculate an 
vu 
