vO 
Star Colour! H 14 | H 44 Pcl P.C UI Mean Scale | Calc. 
„ Persei 34 | 104 | 1.88 | Let 105 | 1.91| 6.3 | 1.92 
x Arietis | 5.4 | 2.03 | 2.10) — | 1.96 | 2.03 | 5.4 | 2.02 
3 Andromedae | 6.2 | 2.20| 2.05 2.04/ 2.11 2.10) 3.8) 2.14 
ndeomedae kao os arto (2.09 | 2.14] 2.14] 3.1 | 2.16 
z Andromedae | 1.8 | 2.09 | 2.22 | 2.21 | 2.17 | SAT are leads 
, Cassiopeiae Bte Saar aan: 27 2d 2503 2.28 08/7225 
B Cassiopeia | 2.9 | 2.43 | 2.50 | 2.36 | 2.33 | 2.41 | —1-7 | 2.43 
« Ursae maj. 4.9 | 1.96 | 1.88 | 1.79 | 1.77 | 1.85 4.0 | 1.86 
e Ursae maj. | 1.8 | 1.86 | 1.89 | 1.98 | 1.84] 1.89 | 2.4 | 1.89 
« Ursae maj. | 1.4 | 2.03 | 2.03 | 14981 2.05} 2.02 0.0 | 2.03 
: Ursae maj: | 2.1 |(2.40)| 2.29 | 2.18 | 2.12 | 2.20 | —3.6 | 2.25 
« Coronae | 1.8 | 2.39 | 2.38 | 2.32 | 2.39 | 2.37 | —4.8 | 2.32 
= Bootis 4.8 | 2.55 | 2.57 | 2.37 | 2.52 | 2.50 | —5.7'| 2.43 
# Ursae maj. 4.7 263 2.71 2.41 | 2.42 | 2.54 | —8.9 | 2.56 
/ Ursae maj. 1.8 | 2.59 | 2.66 | 2.54 | 2.39 | 2.55 | —9.7 | 2.61 
The relations between the scale-values # and the magnitudes m 
are represented by the following formulae (8.7 is the colour-number 
of « Ursae minoris): 
1st series _m == 2.3835 — 0.065 n + 0.020 (c—3.7). 
Zed series m= 2.07 — 0.059 n + 0.020 (c—3.7). 
The magnitudes of the stars calculated after these formulae are 
given in the last column of the preceding table. With the aid of 
the same relations the sine-formulae for the brightness of « Ursae 
minoris, become expressed in magnitudes : 
1st series 2™07 — 0029 sin (p—72°0) 
2>d series 2701 — 0™028 sin (p—78°Y). 
So the amplitude of the variation of light amounts to 0057, while 
we find as mean error of an observation based on the deviations of 
the separate observations 0.043 and on the deviations of the normal 
places from the formulae 0.051. 
