( 330 ) 
Instead of the third condition I find it however better to use an- 
other which follows from all three, viz. 
MESMER 
where 
0 0 
M = w — (v—v7z) Se — (r—er7) = 2 
Corresponding to a former transformation now I write 
L(v, dv) — rrp =D and }(e,—v) =p 
and equally 
5 (wv, +2,) — &Tk = 5 and 3 (w,—2,) ror 5, 
and I consider the infinitely small quantities ®, p‚ = and $ as func- 
tions of the same variable, viz. p‚— prs Thus I find to the first 
approximation *) 
1 IP 7 he mm 2 4m, PPT: 
| 01 oua gie at fie ae 
male ert RE 13" 5m, \RT™) | me, 
1 m’? 4; 
fee | Nn tE | = 
~ 2RTm,,| 3 RT 5 Mag 
1 my, Pi1—PTk m* 
jt — LI eee 23 
2 =| Fate, | Me, RIm,, 5 (28) 
1 ra Tk 
gE AO Een 
Mo, 
Mor Pr TE 
= EN LN Neo WEER Ted ee 
and 3 Eep) a +en| (25) 
where «7; and pr; may be replaced by their expression (17). 
6. The plaitpoint. 
In the plaitpoint the co-existing phases become identical. If we 
represent the elements of the plaitpoint by «7,1, prp and vr: then 
1) The four equations from which I derive the relations (22)—(25) are: 
dp) (ow ee dy \ (dy ex Ow Ow 
GG) GG) eral) GE) 
The two first equations contain the expréssion log”; as all the other terms are 
0, 
: : 5 : & 
infinitely small, this must also be the case with Jog —*, in other words, the ratio a 
is zy 
can differ only infinitely little from 1; § must therefore be of a higher order than = 
HD 
so that also log — may be developed in a series in powers of - BE, 
©, ZHETk 
“A> ae 
