THE APPARENT SMALLNESS OF DISTANT OBJECTS.

[Illustration: FIG. 8.--The nearer you are, the bigger the Globe looks.]

[Illustration: FIG. 9.--The Globe is so far off that it lies beyond the

Picture. The dotted lines show how small it seems.]

I ought here to explain a principle which those who are learning

about the stars must always bear in mind. The principle asserts that

the further a body is, the smaller it looks. Perhaps this will be

understood from the adjoining little sketch (Fig. 8). It represents a

great globe, on which oceans and continents are shown, and you see

a little boy and a little girl are looking at the globe. The girl

stands quite close to it, and I have drawn two dotted lines from her

eye, one to the top of the globe, and the other to the under surface.

If she wants to examine the entire side of the globe which is visible

to her, she must first look along the upper dotted line, and then she

must turn her glance downwards until she comes to the lower line, and

having to turn her eyes thus up and down she will think the globe is

very big, and she will be quite right. The boy is, as you see, on the

other side of the globe, but I have put him much further off than the

girl. I have also drawn two dotted lines from his eye to the globe, and

it is plain that he will not have to turn his head much up and down to

see the whole globe. He can take it all in at a glance, and to him,

therefore, the globe will appear to be comparatively small, because he

is sufficiently far from it. The more distant he is, the smaller it

will appear. You can easily imagine that, if the globe were far enough,

the two lines that would include the whole would be like those shown

(Fig. 9), in which the globe is so distant that it cannot be seen in

the picture. The apparent size of the globe, which is really measured

by the angle between these two lines, would always be smaller and

smaller according as the distance was greater. Now you can understand

why an object seems smaller the further away it is; indeed, when

sufficiently far, the object ceases to be visible at all.

I could give many illustrations of the diminution of size by distance,

and so, doubtless, could you. Every boy knows that his kite looks

smaller and smaller the greater the length of string that he lets

out. I have seen in the West of Ireland a bird that seemed like a

little speck high up near the clouds, but from its flight and other

circumstances I knew that the speck was not a little bird. It was,

indeed, a great eagle, which was dwarfed by the elevation to which it

had soared.

It is in astronomy that we have the best illustrations of this

principle. Enormous objects seem to be small because they are so very

far off. You must therefore always remember that although an object may

appear to be small, this appearance may be only a delusion. It may be

that the object is very big, but very distant. In astronomy, this is

almost always the case, there is so much room above us, around us, on

all sides in space. Look up at the ceiling. It certainly does not bound

space, for there is another side to it; and then there is the roof of

the house. But the roof is not a boundary, for, of course, there is the

air above it, and then, higher up still, there are the clouds, and so

we can carry our imagination on and on through and beyond the air up

to where the stars are, and still on and on. And as there is unlimited

room, the celestial bodies take advantage of it, and are, generally

speaking, at distances so gigantic that, no matter how small they may

appear, their smallness is merely deceptive.

Let us try to illustrate in another way the exceeding remoteness of the

sun. So please imagine that you were on the sun, and that you took a

view of our earth from that distance. To find out what we must expect

to see, let us think of a balloon voyage. If you were to go up in a

balloon, you would at first see only the houses, or objects immediately

about you, but as you rose the view would become wider and wider. You

would see that London was surrounded by the country, and then, as you

still soared up and up, the sea would become visible, and you would

be able to trace out the coasts, east and west and south. If, in some

way, you could soar higher than any balloon could carry you, the whole

of the British Islands would presently lie spread like a map beneath.

Still on and on, and then the continent of Europe would be gradually

opened out, until the great oceans, and even other continents, would

at last be caught sight of, and then you would perceive that our whole

earth was indeed a globe. The higher you went, the less distinctly

would you be able to see the details on the surface. At last the

outlines of the continents and oceans would fade, and you would begin

to lose any perception of the shape of the earth itself. Long ere you

had reached the distance of the sun, the earth would look merely as the

planet Venus now does to us. It is instructive to consider how small

our earth would seem if it were possible to view it from the sun. Think

of that very familiar little globe, a lawn-tennis ball, which is two

and three-quarter inches in diameter. But suppose a tennis ball were

at the opposite side of the street, or still further away; suppose,

for example, that it were half a mile away, what could you expect to

see of it? And yet the earth, as seen from the sun, would appear to be

no larger than a tennis ball would look when viewed from a distance of

half a mile.

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