96 
results of the method A are the only ones that have a sharply 
defined meaning. They give us the parall. motions for the mean of 
the stars of magnitudes 7.25 and 9.19. 
We will, therefore, consider these only, and we will deduce, 
beside the results above obtained for Auwers’s system, those which 
are found, if we adopt Nrwcoms’s, which can be done at once by 
applying to the 3 components the differences deduced above. 
I then find, repeating the first mentioned values in order to faci- 
litate the comparison : 
EE NEEN LDR SE TS eT VOR EL KEE CNE SRE a 
in AUWERS’s Sica. ie Newconn's System 
Group BA Group FA. Group BA | Group FA 
X + 07714 + 0”62 + 0/70 | + 0/58 
¥ — 3.13 — 2.04 — 3.33 — 2.24 
Z Uns a ED ey By | 15:00 
A 283°3 286°9 ~ 281° 284°5 
V X24 Y? 322 2/13 | 340 | 2”31 
D + 3394 + 53% | + SSA in + 5294 
V X24 Y2472 386 359 4/07 | 3719 
Here we: see again that all the essential features of our results 
are independent of the choice of the fundamental system. 
For the ratio between the equatorial motions for the bright and 
the faint group we now find 1:0.66 or 1:0.68, or for a difference 
of one magnitude 1: 0.81 or 1: 0.82, which agrees very satisfactorily 
with the ratio of the distances given by Kapreyn and WeersMa 1 : 0.63 
or for one magnitude 1 : 0.79. All agreement, however, disappears again, 
when we consider the total motion, and thus include the Z-components. 
In my last results also, the motion in the Z-direction is found to 
be much greater for the faint stars than for the bright ones and 
even if we take into consideration that of the centennial motions 
here derived, barely a fifth part has actually been observed, our 
result still remains very striking. If we consult the results yielded 
by the four catalogues separately, we find that the Leiden zone 
gives a normal result, namely faint: bright — 0.67 :1, while from 
the 3 others we derive a very abnormal ratio. Other investigations, 
which gave greater values for D deduced from faint stars, than when 
bright stars were used, might point to abnormal circumstances in 
