What is the absolute magnitude of the near stars that are not contained in table? Evidently they must principally be faint stars. We may go further and answer that _all stars with an absolute magnitude brighter than 6m_ must be contained in this list. For if _M_ is equal to 6 or brighter, _m_ must be brighter than 6m, if the star is nearer than one siriometer. But we have assumed that all stars apparently brighter than 6m are known and are contained in the list. Hence also all stars _absolutely_ brighter than 6m must be found in table 5. We conclude that the number of stars having an absolute magnitude brighter than 6m amounts to 8. If, finally, the spectral type of the near stars is considered, we find from the last column of the table that these stars are distributed in the following way:-- Spectral type B A F G K M Number 0 2 2 5 9 3. For two of the stars the spectrum is for the present unknown. We find that the number of stars increases with the spectral index. The unknown stars in the siriometer sphere belong probably, in the main, to the red types. If we now seek to form a conception of the _total_ number in this sphere we may proceed in different ways. EDDINGTON, in his “Stellar movements”, to which I refer the reader, has used the proper motions as a scale of calculation, and has found that we may expect to find in all 32 stars in this sphere, confining ourselves to stars apparently brighter than the magnitude 9m.5. This makes 8 stars per cub. sir.