Now I presume that, in the termination of my last sentence, few of my
readers have noticed anything especially objectionable—particularly
wrong. I said that the distance of the Earth from the Sun being taken at
_one foot_, the distance of Neptune would be 40 feet, and that of Alpha
Lyræ, 159. The proportion between one foot and 159 has appeared,
perhaps, to convey a sufficiently definite impression of the proportion
between the two intervals—that of the Earth from the Sun and that of
Alpha Lyræ from the same luminary. But my account of the matter should,
in reality, have run thus:—The distance of the Earth from the Sun being
taken at one foot, the distance of Neptune would be 40 feet, and that of
Alpha Lyræ, 159——_miles_:—that is to say, I had assigned to Alpha Lyræ,
in my first statement of the case, only the 5280_th_ _part_ of that
distance which is the _least distance possible_ at which it can actually
lie.
To proceed:—However distant a mere _planet_ is, yet when we look at it
through a telescope, we see it under a certain form—of a certain
appreciable size. Now I have already hinted at the probable bulk of many
of the stars; nevertheless, when we view any one of them, even through
the most powerful telescope, it is found to present us with _no form_,
and consequently with _no magnitude_ whatever. We see it as a point and
nothing more.
Again;—Let us suppose ourselves walking, at night, on a highway. In a
field on one side of the road, is a line of tall objects, say trees, the
figures of which are distinctly defined against the background of the
sky. This line of objects extends at right angles to the road, and from
the road to the horizon. Now, as we proceed along the road, we see these
objects changing their positions, respectively, in relation to a certain
fixed point in that portion of the firmament which forms the background
of the view. Let us suppose this fixed point—sufficiently fixed for our
purpose—to be the rising moon. We become aware, at once, that while the
tree nearest us so far alters its position in respect to the moon, as to
seem flying behind us, the tree in the extreme distance has scarcely
changed at all its relative position with the satellite. We then go on
to perceive that the farther the objects are from us, the less they
alter their positions; and the converse. Then we begin, unwittingly, to
estimate the distances of individual trees by the degrees in which they
evince the relative alteration. Finally, we come to understand how it
might be possible to ascertain the actual distance of any given tree in
the line, by using the amount of relative alteration as a basis in a
simple geometrical problem. Now this relative alteration is what we call
“parallax;” and by parallax we calculate the distances of the heavenly
bodies. Applying the principle to the trees in question, we should, of
course, be very much at a loss to comprehend the distance of _that_
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