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Updated: June 19, 2025


The heavens cannot be measured, no plummet can reach to the deep foundations of the earth. We are surrounded by a universe which to our apprehensions is boundless. How much more so from expansions of our conceptions of celestial magnitudes since Jeremiah's days, and what is to be the lesson from that?

The variables S and R are both red. The former ranges between magnitudes eight and twelve, period two hundred and eighty days, and the latter between magnitudes six and eleven, period about three hundred and ninety days. The nebula 4628 is Rosse's "Saturn nebula," so called because with his great telescope it presented the appearance of a nebulous model of the planet Saturn.

The magnitudes are five and a half and six, distance 1.26", p. 202°. The star 52 has two companions, one of which is so close that our instruments can not separate it, while the other is too faint to be visible in the light of its brilliant neighbor without the aid of a very powerful telescope.

Hence, then, the fact, that all exact science is reducible, by an ultimate analysis, to results measured in equal units of linear extension. Still it remains to be noticed in what manner this determination of equality by comparison of linear magnitudes originated. Once more may we perceive that surrounding natural objects supplied the needful lessons.

In delta we have a very wide and easy double; magnitudes three and a half and eight and a half, distance 110", p. 75°. The smaller star has a lilac hue.

All that we are entitled therefore to conclude as to the magnitudes and distances of the heavenly bodies, is, that the causes of our sensations and perceptions, whatever they are, are not less uniform than the sensations and perceptions themselves. It is further alleged, that we calculate eclipses, and register the various phenomena of the heavenly bodies.

The other magnitude, which drew near with a step at once elusive and fascinating, revealed as she walked a figure so exquisite in its every curve as to call from her geometrical acquaintances the ecstatic exclamation, "Let it be granted that M is a parabola." Guided thus along their respective paths, the two magnitudes presently met with such suddenness that they almost intersected.

It shows us in a powerful light the most diverse questions; it introduces order into the most varied studies; it leads to a clear and coherent interpretation of phenomena which, without it, appear to have no connexion with each other; and it supplies precise and exact numerical relations between the magnitudes which enter into these phenomena.

The star is double, magnitudes third and sixth, and the distance from center to center barely exceeds 1", p. 87°. A little tremulousness of the atmosphere for a moment conceals the smaller star, although its presence is manifest from the peculiar jutting of light on one side of the image of the primary.

The magnitudes are sixth and ninth, distance 5", p. 140°. On the other side of Arcturus we find zeta, a star that we should have had no great difficulty in separating thirty years ago, but which has now closed up beyond the reach even of our five-inch. The magnitudes are both fourth, and the distance less than a quarter of a second; position angle changing.

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