( 1221 ) 
dependent on the value of r for this point. If rs should always be 
equal to 8, and (f—1)7? = 27, this fraction would be determined 
by r and depend on it in the following way: 
b 8 
—=r— —. 
bg 27 
Loa 
7 
Eee ij 
For r==8, the greatest value which 7 can assume, we find — — 1, 
bg 
as was to be expected. But though this quantity decreases with the 
decrease of 7, as was to be expected, this decrease is slight; thus 
BRS 
with r= 2 the value of —=—. 
bg 31 
Equation (V), derived from (IV), reveals the direction of the 
tangent to the locus (iV), and for the case that sr would always be 
(.) 
aes 
bg 
equal to 8, it yields for as the value: 
ar 
2s (f—1) 
1 ED ees 2 
5 8 5 rr 
which for == and j= 4 is equal to 0, for 553,77 and SW 
3.76 shod 23 
t See d for = d d St) - 
Og? amt fers and f nn 
db : Rae ee or Ie 
2. The quantity (=); This quantity is found from the condition 
dv) kr 
dp . «! 
that ie must be equal to 0 in the critical point. 
vJT 
d 
From ()=® we find: 
dv Jr 
db 
ANNAE 
=) 2a 
(ob 
i db a 2a fae Ve 
— Ndv Jip ERTL v Jer 
sm a pai RCA vile Aa 
And substituting the value = and | —— |=—, in it, 
vRT', 
S v 
or 
which values already occur in my paper on quasi association, we find : 
