( ^0 ) 



In this we must notice that in the immediate neighbourhood of 



the point A, sr increases with the utmost rapidity from — 27 to 



4" 00, when we pass the above considered border curve; m the 



point A itself this transition takes of course place suddenly. For 



27241-^) 

 when to = 1, .T approaches to -- — =^ 00, according to (Sa), except 



(f) 1 — to '^ 



in the case that x is exactly =: 0, when (see further) '— = 0, 



1— to 



the following term yielding then the finite value — 27. This follows 



also from the figure, because the border curve, which separates positive 



from negative pressures, passes through the point A. 



That on the plaitpoint curve the expressions and 



1 — CO 1 — to 



approach to for ^ = 0, to = 1, t =r at A, follows from (26). 

 For putting x ^ A and 1 — o) = d, we get : 



1 -{.<pö'f^ — 2^(f\=:0, 



or as 3y(f^ may be neutralized by 1, 1 — 2(p* — = 0, from which 



A 

 follows, that at the point A ~^= 2(p\ so remains finite. So A is of 



X "a 

 the order d\ so that =1 — really approaches to at A. From 



this follows also the contact. And as according to {lb) r approaches to 

 4 (A + <fi'ö') = 4:(fi'ö' (A being of the order ö') for a' = 0, to =:: 1, 



T 



approaches to at A. 



1 — to 



In the same way the plaitpoint curve CqC, touches the line 



x='/, for ^=7,, to = l. For, for x = '/,{1 -{- Li), oj = '1 — d 

 equation (26) becomes: 



- A + ((^ + VJ cP 



3 - 8 (^ 4- V.)^^ 



= 0, 



A 

 which appoaches to — A -j- 3 (9) -|- 7J <^' = 0, yielding — = 3(^-f- VJ» 



~A 

 so again finite. So A is now of the order d", and so — again = 0, 



which proves the contact at Cq. 



I call attention to the fact, that on account of the small values 

 of A a large portion of the curve Cg G, from C^ as far as beyond the 

 point D may be calculated very accurately, by writing for (26) (y = 1): 



