( 62 ) 
Fig. V, VI, and VII are the graphical representation of Table I, 
II and IV. In this graphical representation I have considered the 
amount of water as constant (10° unities of weight) and put as 
abscissae the number of solved unities of weight of the acid. The 
relative increases of the concentration, in percents, have been chosen 
as ordinates. The points, representing successive determinations, are 
connected by a curve. The graphical representation of the result of 
the experiment by a continuous curve is only an approximation, 
remaining in, the same course of thoughts as that, which has led us 
to represent the phenomenon analytically by a continuous function. 
If the law of Frcuner was satisfied, the line representing graphically 
> 
as function of R, would be a straight one. But 
the quotient 
instead the experiment furnishes a curved line. In order to elucidate 
the form of this curve further, fig. V is given, which is the graphical 
representation of an experiment, where the first descending branch 
is determined by as large a number of observations as is possible. 
Fig. VI shows a reduction in the extent of the first descending 
branch and this enables us to determine the ascending branch by 
a greater number of observations. In the experiment represented 
by fig. VIL this reduction of the first descending branch is so con- 
siderable, that it no more appears in the experiment; this makes it 
possible to determine the top of the ascending branch and the de- 
scending branch following on it. The whole course of the second 
descending branch cannot be given, as always a discontinuity occurs 
at a point which seems to be near a second minimum. After this 
discontinuity a new period sets in, and as far as it is possible to 
follow this new period, it appears to be considerably greater, whereas 
R 
shows in this 
the oscillation which the value of the quotient 
period, seems to be relatively smaller. For a skin-muscle reflex- 
ee es: : ee 
apparatus the quotient ET must therefore be considered as a periodie 
function of . If we inquire what is the signification of this disconti- 
nuity, it seems that only those variables, which are the representation 
of the independently variable components of the chemical system, can 
be able to show discontinuities. This brings about a change in the 
nature of the system and this must be attended by a discontinuous 
variation of the quantity A, which occurs in formula I of the second 
communication. The experiment communicated by Massarr *) seems 
1) Bull. Acad. royale de Belgique 3me Série, T. 16, 1888, pag. 590. 
