Isi 



dtr 



^1 — C'/rn— ) 





5 = 



du _ dZj 

 further we have : 



O/ro-/^) i' + (/^'-2/o) ^1 + [yo~-yvo\ ^' = o 



which condition we may also write : 



V—v V,—v V,— V 



(32) 



(33) 



(34) 



For a ternary equilibrium F -\- L -{- (J, the liquid of whieli is 

 situated in the vicinity of point //. the pressure is equal to 

 P//+ ^-r, ^v = è, y = y,^n and y, = y^.^-\-ii^. 



The three equations (17) pass then, when we use the conditions 

 ^22) into: 



Rn-\-[:v-V]jt^krr-\-\Uf^\ r^_ _IV^+,^,j + . . + (y-/:/)L:=0 (35) 



[,_FJ Jt-^U, n,^ + h (^-^) ^-r^ f . . . + (^ -/?) L, =. (36) 



(37) 



L=zL, 



Herein is 



07/ dx ay 



ds ,^ d'V ^ d'V 



dy dxdy dy^ 





dydP 



(38) 



Ö F, dL d' V, d' V, 



i, = ,,, + _.+ i_^„.+i_^.V+^,,.+... . (39) 



In (35) and (36) y^ and yio are replaced by y iiiA y, ; we shall 

 do the same in the following equations. When we multiply (35) 

 by y^ — (3 and (36) by y — /?, then it follows with the aid of (37) that : 



{y-i3) RTè^^ (y-^) r s" + k iy.-i^) ^n"-\ (y-i^) t^ n.' 



+ k 



dV dV, dv' 



^'i-{y,-^Hn=0.{AO) 



From (36), (37), and (40) it follows that this can be satisfied by 

 >ii of the order rr, ii of the order jr and '§ of the order jt'\ 

 From (35), (36) and (37) then follows: 



tri 



=(' 



OF 



JT and tj^i]^ 



^-^-S.'" 



(41) 



13 



Proceedings Royal Acad. Amsterdam. Vol. XVII, 



