of the bright Fixed Stars. 331 
we fail to obtain an adequate value for the stars beyond 9 and 
9:. We may reproduce the numbers which the Uranometries 
give for the 6th magnitude and the Durchmusterung for the 
9th, by means of a series which doubles the number of stars 
for each successive half-magnitude; yet even this, when ex- 
tended to stars of the 94 magnitude, would assign to the entire 
heavens a less number than the Durchmusterung gives for the 
northern hemisphere alone. I attribute, however, to this last 
consideration comparatively little weight, for the reason already 
indicated. 
In the second column of the annexed table, the number of 
northern stars corresponding to each half-magnitude is repro- 
duced, being taken from Heis’s Uranometry for magnitudes up 
to the 6th inclusive, and from the Durchmusterung for higher 
ones. The last line, however, is not for the full half-magni- 
i e 
y-7, not being contained in Argelander’s 
work. The third column contains the numbers from the 
Uranometria Argentina, and the fourth the corresponding ones 
for the entire heavens, being the sum of the two preceding as 
as 
result from the simple hypothesis that the number of stars 
doubles for each successive half-magnitude appien to the 
observed number of the 6th magnitude. Simple as it is, this 
series presents less violent discordances than any of the others 
which I have deduced, for magnitudes above the 4th. For stars 
Tota NUMBER OF STARS. 
Mag. WN. 8. Total. Formula. 
1 8 6 14 4 
1} 5 4 11 5 
2 35 20 10 
24 25 33 19 
3 41 96 38 
34 103 87 190 76 
4 132 108 240 153 
4t 54 54 408 306 
5 392 240 632 612 
5} 696 563 1259 1224 
6 1374 1075 2449 
64 2231 2022 4253 4898 
4" 3317 7 9796 
ves 6878 ee 137 19592 
8 14525 eats 29050 39184 
8} 28486 tes 56972 78368 
9 78185 ae 156370 156736 
| 177505 PORE 355010 161660 
