42 C. V. L. CHARLIER, 
I nl 0 
VELA Ted TT Al 
| | 
0 9 
Mo 5 No 4 
ll + m4m, + n,ny = 0 
ll, + Mo + nan, = eos 129.5; = + 0.9700 . 
Solving these equations we get 
l, = + 0.4444 
? 
Me = — 0.5073 , 
N, = + 0.7388 , 
which are therefore the direction cosines of the 4° axis in the galaxy. 
The Y? axis is now unequivocally determined from these values. Let 
as before X", Y", Z' be the three equatorial axes and X", Y", 2° the 
galactic ones and let e, denote the cosines of the angles between 
these two systems, according to the following scheme: 
711 rans AI 
À i Z 
ER al 
A | en ; En; Ba 
| €19 . Onn 5 Ex 
| 
Z | es 2 5 Cas | 
then we get for the direction cosines e; the values 
e JU 
en Ve 050 Re ör Oase 
Gy = 1.0.90, 639 = 0.8592 , Ca = + 0.4730 , 
es = — 0.8743 , 644 = — 0.0664 , ea = + 0.4808 
Let x", y", z" denote the coordinates of a star referred to equa- 
torial coordinates — having the sun in the origin — and 2^, y°, 2° the 
coordinates of the same star referred to the galactie system of coor- 
dinates — also with the sun in the origin — then 
